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![Revision History
No. Date Operator Notes
0 1/ 9/2007 Prodigy New vessel created Heat Exchanger. [Build 6252]
2/10/2007 10:33:19 AM 9/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-10-320.jpg)
![Bottom Channel Section Stiffener
Stiffener ring calculations per UG-29(a)
Ring type: Flat bar
Ring description: 3/4x5 Flat Bar
Ring material: SA-36 (II-D p. 6, ln. 18)
External pressure: 15.0000 psi
Ring is located: outside the vessel
Distance from ring neutral axis to datum: 84.0000 in
Ring corrosion allowance: 0.1250 in
Distance to previous support: 55.7500 in
Distance to next support: 94.9375 in
L/Do = 94.9375/114.0000 = 0.8327851
Do/t = 114.0000/0.3495940 = 326.0926
From Table G: A = 0.000279
From Table HA-3: B = 3,669.08
Pa = 4*B/(3*(Do/t))
= 4*3,669.08/(3*(114.0000/0.3495940))
= 15.00221 psi
B = 0.75*P*Do/(t + As/Ls)
= 0.75*15*114/(0.3496 + 2.4375/75.34375)
= 3,357.754
From Table CS-2: A = 0.00023622 (ring, 325.00°F)
From Table HA-3: A = 0.00025540 (shell, 325.00°F)
Is' = [Do2*Ls*(t + As/Ls)*A]/10.9
= [1142*75.34375*(0.3496 + 2.4375/75.34375)*0.00025540]/10.9
= 8.763039 in4
I' for the composite corroded shell-ring cross section is 13.6815 in4
As I' >= Is' a 3/4x5 Flat Bar stiffener is adequate for an external pressure of 15.000 psi.
Check the stiffener ring attachment welds per UG-30
Fillet weld is: Continuous both sides
Fillet weld leg size: 0.2500 in
Vessel thickness at weld location, new: 0.3750 in
Vessel corrosion allowance at weld location: 0.0000 in
Stiffener thickness at weld location: 0.7500 in
Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in
The fillet weld size of 0.25 in is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 15*75.34375 = 1,130.156 lb/in
Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*75.34375*114 = 1,288.378 lb/in
First moment of area, Q = 2.697069*1.246149 = 3.360949 in3
Weld shear flow, q = V*Q/I' = 316.4985 lb/in
Combined weld load, fw = Sqr(1,130.1562 + 316.49852) = 1,173.637 lb/in
2/10/2007 10:33:19 AM 84/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-85-320.jpg)
![Bottom Plate of Expanded Chamber
Stiffener ring calculations per UG-29(a)
Ring type: Flat bar
Ring description: 5/8x6 Flat Bar
Ring material: SA-240 304L (II-D p. 78, ln. 29)
External pressure: 15.0000 psi
Ring is located: outside the vessel
Distance from ring neutral axis to datum: 350.3750 in
Ring corrosion allowance: 0.0000 in
Distance to previous support: 47.0000 in
Distance to next support: 71.8750 in
L/Do = 71.875/114.0000 = 0.6304824
Do/t = 114.0000/0.3108990 = 366.6786
From Table G: A = 0.000314
From Table HA-3: B = 4,129.206
Pa = 4*B/(3*(Do/t))
= 4*4,129.206/(3*(114.0000/0.3108990))
= 15.01479 psi
B = 0.75*P*Do/(t + As/Ls)
= 0.75*15*114/(0.3109 + 3.75/59.4375)
= 3,429.222
From Table HA-3: A = 0.00026082 (ring, 325.00°F)
Is' = [Do2*Ls*(t + As/Ls)*A]/10.9
= [1142*59.4375*(0.3109 +
3.75/59.4375)*0.00026082]/10.9
= 6.912788 in4
I' for the composite corroded shell-ring cross section is 27.22062 in4
As I' >= Is' a 5/8x6 Flat Bar stiffener is adequate for an external pressure of 15.000 psi.
Check the stiffener ring attachment welds per UG-30
Fillet weld is: Continuous both sides
Fillet weld leg size: 0.3750 in
Vessel thickness at weld location, new: 0.3750 in
Vessel corrosion allowance at weld location: 0.0000 in
Stiffener thickness at weld location: 0.6250 in
Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in
The fillet weld size of 0.375 in is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 15*59.4375 = 891.5625 lb/in
Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*59.4375*114 = 1,016.381 lb/in
First moment of area, Q = 2.697069*1.85404 = 5.000474 in3
Weld shear flow, q = V*Q/I' = 186.711 lb/in
Combined weld load, fw = Sqr(891.56252 + 186.7112) = 910.9032 lb/in
2/10/2007 10:33:19 AM 86/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-87-320.jpg)
![Lower Calandria Stiffener RIngs
Stiffener ring calculations per UG-29(a)
Ring type: Flat bar
Ring description: 3/4x5 Flat Bar
Ring material: SA-36 (II-D p. 6, ln. 18)
External pressure: 15.0000 psi
Ring is located: outside the vessel
Distance from ring neutral axis to datum: 209.5000 in
Ring corrosion allowance: 0.1250 in
Distance to previous support: 69.0000 in
Distance to next support: 69.7500 in
L/Do = 69.75/114.0000 = 0.6118421
Do/t = 114.0000/0.3073280 = 370.9392
From Table G: A = 0.000318
From Table HA-3: B = 4,177.002
Pa = 4*B/(3*(Do/t))
= 4*4,177.002/(3*(114.0000/0.3073280))
= 15.01415 psi
B = 0.75*P*Do/(t + As/Ls)
= 0.75*15*114/(0.3073 + 2.4375/69.375)
= 3,745.235
From Table CS-2: A = 0.00026334 (ring, 325.00°F)
From Table HA-3: A = 0.00028482 (shell, 325.00°F)
Is' = [Do2*Ls*(t + As/Ls)*A]/10.9
= [1142*69.375*(0.3073 +
2.4375/69.375)*0.00028482]/10.9
= 8.06741 in4
I' for the composite corroded shell-ring cross section is 13.6815 in4
As I' >= Is' a 3/4x5 Flat Bar stiffener is adequate for an external pressure of 15.000 psi.
Check the stiffener ring attachment welds per UG-30
Fillet weld is: Continuous both sides
Fillet weld leg size: 0.2500 in
Vessel thickness at weld location, new: 0.3750 in
Vessel corrosion allowance at weld location: 0.0000 in
Stiffener thickness at weld location: 0.7500 in
Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in
The fillet weld size of 0.25 in is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 15*69.375 = 1,040.625 lb/in
Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*69.375*114 = 1,186.313 lb/in
First moment of area, Q = 2.697069*1.246149 = 3.360949 in3
Weld shear flow, q = V*Q/I' = 291.4254 lb/in
Combined weld load, fw = Sqr(1,040.6252 + 291.42542) = 1,080.662 lb/in
2/10/2007 10:33:19 AM 88/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-89-320.jpg)
![Top Plate of Expanded Chamber
Stiffener ring calculations per UG-29(a)
Ring type: Flat bar
Ring description: 5/8x6 Flat Bar
Ring material: SA-240 304L (II-D p. 78, ln. 29)
External pressure: 15.0000 psi
Ring is located: outside the vessel
Distance from ring neutral axis to datum: 397.3750 in
Ring corrosion allowance: 0.0000 in
Distance to previous support: 16.6250 in
Distance to next support: 47.0000 in
L/Do = 47/114.0000 = 0.4122807
Do/t = 114.0000/0.2653050 = 429.6941
From Table G: A = 0.000380
From Table HA-3: B = 4,836.215
Pa = 4*B/(3*(Do/t))
= 4*4,836.215/(3*(114.0000/0.2653050))
= 15.00671 psi
B = 0.75*P*Do/(t + As/Ls)
= 0.75*15*114/(0.2653 + 3.75/31.8125)
= 3,347.007
From Table HA-3: A = 0.00025458 (ring, 325.00°F)
Is' = [Do2*Ls*(t + As/Ls)*A]/10.9
= [1142*31.8125*(0.2653 +
3.75/31.8125)*0.00025458]/10.9
= 3.700049 in4
I' for the composite corroded shell-ring cross section is 27.22062 in4
As I' >= Is' a 5/8x6 Flat Bar stiffener is adequate for an external pressure of 15.000 psi.
Check the stiffener ring attachment welds per UG-30
Fillet weld is: Continuous both sides
Fillet weld leg size: 0.3750 in
Vessel thickness at weld location, new: 0.3750 in
Vessel corrosion allowance at weld location: 0.0000 in
Stiffener thickness at weld location: 0.6250 in
Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in
The fillet weld size of 0.375 in is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 15*31.8125 = 477.1875 lb/in
Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*31.8125*114 = 543.9938 lb/in
First moment of area, Q = 2.697069*1.85404 = 5.000474 in3
Weld shear flow, q = V*Q/I' = 99.93259 lb/in
Combined weld load, fw = Sqr(477.18752 + 99.932592) = 487.5392 lb/in
2/10/2007 10:33:19 AM 90/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-91-320.jpg)
![Upper Calandria Stiffener Ring
Stiffener ring calculations per UG-29(a)
Ring type: Flat bar
Ring description: 3/4x5 Flat Bar
Ring material: SA-36 (II-D p. 6, ln. 18)
External pressure: 15.0000 psi
Ring is located: outside the vessel
Distance from ring neutral axis to datum: 278.5000 in
Ring corrosion allowance: 0.1250 in
Distance to previous support: 71.8750 in
Distance to next support: 69.0000 in
L/Do = 71.875/114.0000 = 0.6304824
Do/t = 114.0000/0.3108990 = 366.6786
From Table G: A = 0.000314
From Table HA-3: B = 4,129.206
Pa = 4*B/(3*(Do/t))
= 4*4,129.206/(3*(114.0000/0.3108990))
= 15.01479 psi
B = 0.75*P*Do/(t + As/Ls)
= 0.75*15*114/(0.3109 + 2.4375/70.4375)
= 3,711.956
From Table CS-2: A = 0.00026101 (ring, 325.00°F)
From Table HA-3: A = 0.00028229 (shell, 325.00°F)
Is' = [Do2*Ls*(t + As/Ls)*A]/10.9
= [1142*70.4375*(0.3109 +
2.4375/70.4375)*0.00028229]/10.9
= 8.191082 in4
I' for the composite corroded shell-ring cross section is 13.6815 in4
As I' >= Is' a 3/4x5 Flat Bar stiffener is adequate for an external pressure of 15.000 psi.
Check the stiffener ring attachment welds per UG-30
Fillet weld is: Continuous both sides
Fillet weld leg size: 0.2500 in
Vessel thickness at weld location, new: 0.3750 in
Vessel corrosion allowance at weld location: 0.0000 in
Stiffener thickness at weld location: 0.7500 in
Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in
The fillet weld size of 0.25 in is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 15*70.4375 = 1,056.563 lb/in
Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*70.4375*114 = 1,204.481 lb/in
First moment of area, Q = 2.697069*1.246149 = 3.360949 in3
Weld shear flow, q = V*Q/I' = 295.8887 lb/in
Combined weld load, fw = Sqr(1,056.5632 + 295.88872) = 1,097.212 lb/in
2/10/2007 10:33:19 AM 92/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-93-320.jpg)
![= 0.925 * (1 + 1.7 * 3.40* 0.3048 * 0.9210) / (1 + 1.7 * 3.40 * 0.3048)
= 0.8784
Gust Factor Calculations: Vacuum, Corroded
z¯ = 0.60 * h
= 0.60 * 32.5573
= 30.0000
Iz¯ = c * (33 / z¯)1/6
= 0.3000 * (33 / 30.0000)1/6
= 0.3048
Lz¯ = l * (z¯ / 33)ep
= 320.0000 * (30.0000 / 33)0.3333
= 309.9934
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63))
= Sqr(1 / (1 + 0.63 * ((9.5000 + 32.5573) / 309.9934)0.63))
= 0.9210
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯)
= 0.925 * (1 + 1.7 * 3.40* 0.3048 * 0.9210) / (1 + 1.7 * 3.40 * 0.3048)
= 0.8784
Table Lookup Values
α = 7.0000, Zg = 1200.0000 ' [Table 6-2, page 78]
c = 0.3000, l = 320.0000, ep = 0.3333 [Table 6-2, page 78]
a¯ = 0.2500, b¯ = 0.4500 [Table 6-2, page 78]
gQ = 3.40 [6.5.8.1 page 26]
gv = 3.40 [6.5.8.1 page 26]
2/10/2007 10:33:19 AM 318/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-319-320.jpg)
![αt,m =
Tubes SA-249 TP316L Wld tube Et =28.3E+06 St =26,471* Sy,t =25,000 N/A
8.50E-06
*The allowable tensile stress from Section II-D has been divided by 0.85 as the calculated stresses are longitudinal.
Material Properties at Operating Temperatures
Modulus of Allowable Yield
Operating
Condition Component Material Temperature Elasticity Stress Stress
(°F) (psi) (psi) (psi)
Shell SA-240 304L 254 27,230,000 16,700 20,120
Design
Channel SA-240 304L 250 27,250,000 16,700 20,200
Tubesheet SA-240 304 285 27,075,000 19,065 22,760
Tubes SA-249 TP316L Wld tube 282.50 27,087,500 16,706* 19,385
Shell SA-240 304L 254 27,230,000 16,700 20,120
Vacuum-SS
Channel SA-240 304L 250 27,250,000 16,700 20,200
Tubesheet SA-240 304 285 27,075,000 19,065 22,760
Tubes SA-249 TP316L Wld tube 282.50 27,087,500 16,706* 19,385
Shell SA-240 304L 254 27,230,000 16,700 20,120
Vacuum-TS
Channel SA-240 304L 250 27,250,000 16,700 20,200
Tubesheet SA-240 304 285 27,075,000 19,065 22,760
Tubes SA-249 TP316L Wld tube 282.50 27,087,500 16,706* 19,385
*The allowable tensile stress from Section II-D has been divided by 0.85 as the calculated stresses are longitudinal.
Calculations for Design Condition
UHX-13.5.1 Step 1
Do = 2*ro + dt
µ = (p - dt) / p
d* = MAX{[dt - 2*tt*(Et / E)*(St / S)*ρ], [dt - 2*tt]}
p* = p /(1 - 4*MIN(AL, 4*Do*p) /(π*Do2))0.5
µ* = (p* - d*)/p*
hg' = MAX[(hg - ct), 0] for pressure load only. For load cases 4, 5, 6, 7 hg' = 0.
ao = Do / 2
ρs = as / ao
ρc = ac / ao
xt = 1 - Nt*((dt - 2*tt)/(2*ao))2
xs = 1 - Nt*(dt/(2*ao))2
Condition Design
New or corroded Do = 2*53.2230 + 1.2500 = 107.6960
New or corroded µ = (1.6563 - 1.2500) /1.6563 = 0.2453
2/10/2007 10:33:19 AM 331/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-332-320.jpg)
![*
d = MAX{[1.2500 - 2*0.0490*(26,850,000 / 26,850,000)*(16,471 / 18,750)*0.8500],
Load cases 1-3 1.1768267
New or corroded
[1.2500 - 2*0.0490]} =
*
d = MAX{[1.2500 - 2*0.0490*(27,087,500 / 27,075,000)*(16,706 / 19,065)*0.8500],
Load cases 4-7 1.1769739
[1.2500 - 2*0.0490]} =
New or corroded p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097
New or corroded
Load cases 1-3 µ* = (1.7096848 - 1.1768267)/1.7096848 = 0.311670
Load cases 4-7 µ* = (1.7096848 - 1.1769739)/1.7096848 = 0.311584
hg' = 0.0000
New or corroded ao = 107.6960 / 2 = 53.8480
New or corroded ρs = 56.6250 / 53.8480 = 1.051571
New or corroded ρc = 56.6250 / 53.8480 = 1.051571
New or corroded xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886
New or corroded xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053
UHX-13.5.2 Step 2
Ks = π*ts*(Ds + ts)*Es / L
Kt = π*tt*(dt - tt)*Et / L
Ks,t = Ks / (Nt*Kt)
J = 1 / (1 + Ks/KJ)
βs = (12*(1 - νs2))0.25 / ((Ds + ts)*ts)0.5
ks = βs*Es*ts3 / (6*(1 - νs2))
λs = (6*Ds / h3)*ks*(1 + h*βs + h2*βs2 / 2)
δs = Ds2 / (4*Es*ts) * (1 - νs / 2)
βc = (12*(1 - νc2))0.25 / ((Dc + tc)*tc)0.5
kc = βc*Ec*tc3 / (6*(1 - νc2))
λc = (6*Dc / h3)*kc*(1 + h*βc + h2*βc2 / 2)
δc = Dc2 / (4*Ec*tc) * (1 - νc / 2)
Condition Design
Load cases
New or 1-3 Ks = π*0.3750*(113.2500 + 0.3750)*26,850,000 / 272.7500 = 13,177,547.00
corroded
Load cases
4-7 Ks = π*0.3750*(113.2500 + 0.3750)*27,230,000 / 272.7500 = 13,364,045.00
Load cases
New or 1-3 Kt = π*0.0490*(1.2500 - 0.0490)*26,850,000 / 272.7500 = 18,199.88
corroded
Load cases
4-7 Kt = π*0.0490*(1.2500 - 0.0490)*27,087,500 / 272.7500 = 18,360.86
Load cases
New or 1-3 Ks,t = 13,177,547.00 / (3408*18,199.88) = 0.212455
corroded
Load cases
4-7 Ks,t = 13,364,045.00 / (3408*18,360.86) = 0.213572
2/10/2007 10:33:19 AM 332/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-333-320.jpg)
![Load cases
J = 1 as no expansion joint used
New or 1-3
corroded
Load cases
J = 1 as no expansion joint used
4-7
New or corroded βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179
Load cases
New or 1-3 ks = 0.2780179*26,850,000*0.37503 / (6*(1 - 0.31002)) = 72,583.73
corroded
Load cases
4-7 ks = 0.2780179*27,230,000*0.37503 / (6*(1 - 0.31002)) = 73,610.98
Load cases λs = (6*113.2500 / 1.50003)*72,583.7266*(1 + 1.5000*0.2780179 +
1-3 21,978,486
New or 1.50002*0.27801792 / 2) =
corroded
Load cases λs = (6*113.2500 / 1.50003)*73,610.9844*(1 + 1.5000*0.2780179 +
4-7 22,289,542
1.50002*0.27801792 / 2) =
Load cases
New or 1-3 δs = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3100 / 2) = 2.6909E-04
corroded
Load cases
4-7 δs = 113.25002 / (4*27,230,000*0.3750) * (1 - 0.3100 / 2) = 2.6533E-04
New or corroded βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858
Load cases
New or 1-3 kc = 0.2784858*26,850,000*0.37503 / (6*(1 - 0.30002)) = 72,218.51
corroded
Load cases
4-7 kc = 0.2784858*27,250,000*0.37503 / (6*(1 - 0.30002)) = 73,294.39
Load cases λc = (6*113.2500 / 1.50003)*72,218.5078*(1 + 1.5000*0.2784858 +
1-3 21,882,362
New or 1.50002*0.27848582 / 2) =
corroded
Load cases λc = (6*113.2500 / 1.50003)*73,294.3906*(1 + 1.5000*0.2784858 +
4-7 22,208,356
1.50002*0.27848582 / 2) =
Load cases
New or 1-3 δc = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3000 / 2) = 2.7068E-04
corroded
Load cases
4-7 δc = 113.25002 / (4*27,250,000*0.3750) * (1 - 0.3000 / 2) = 2.6671E-04
UHX-13.5.3 Step 3
E* / E = α0 + α1*µ* + α2*µ*2 + α3*µ*3 + α4*µ*4
ν* = β0 + β1*µ* + β2*µ*2 + β3*µ*3 + β4*µ*4
η = (E*/E)*(1 - ν2) / (1 - ν*2)
Xa = [24*(1 - ν*2)*Nt*Et*tt*(dt - tt)*ao2 / (E**L*h3)]0.25
Condition Design
New or corroded h/p = 1.5000/1.6563 = 0.9056
Load cases
New or 1-3 - from Fig. UHX-11.3(a) E*/E = 0.3370
corroded
Load cases
4-7 - from Fig. UHX-11.3(a) E*/E = 0.3369
Load cases
New or 1-3 E* = 0.3369805*26,850,000 = 9,047,927
corroded
Load cases
4-7 E* = 0.3368625*27,075,000 = 9,120,553
Load cases
New or 1-3 - from Fig. UHX-11.3(b) ν* = 0.3004
corroded
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![Load cases
4-7 - from Fig. UHX-11.3(b) ν* = 0.3004
Load cases Xa = [24*(1 - 0.30039792)*3408*26,850,000*0.0490*(1.2500 - 0.0490)*53.84802 /
1-3 14.2239
New or (9,047,927*272.7500*1.50003)]0.25 =
corroded
Load cases Xa = [24*(1 - 0.30043602)*3408*27,087,500*0.0490*(1.2500 - 0.0490)*53.84802 /
4-7 14.2267
(9,120,553*272.7500*1.50003)]0.25 =
Load cases
New or 1-3 Zd = 0.0005076
corroded
Load cases
4-7 Zd = 0.0005073
Load cases
New or 1-3 Zv = 0.0050230
corroded
Load cases
4-7 Zv = 0.0050210
Load cases
New or 1-3 Zm = 0.1012484
corroded
Load cases
4-7 Zm = 0.1012277
UHX-13.5.4 Step 4
K = A / Do
F = ((1 - ν*) / E*)*(λs + λc + E*ln(K))
Φ = (1 + ν*)*F
Q1 = (ρs - 1 - Φ*Zv) / (1 + Φ*Zm)
Qz1 = (Zd + Q1*Zv)*Xa4 / 2
Qz2 = (Zv + Q1*Zm)*Xa4 / 2
U = [Zv + (ρs - 1)*Zm]*Xa4 / (1 +Φ*Zm)
Condition Design
New or corroded K = 116.0000 / 107.6960 = 1.0771059
Load cases F = ((1 - 0.3003979) / 9,047,927)*(21,978,486.00 + 21,882,362.00 +
1-3 3.5456076
New or corroded
26,850,000*ln(1.0771)) =
Load cases F = ((1 - 0.3004360) / 9,120,553)*(22,289,542.00 + 22,208,356.00 +
4-7 3.5673274
27,075,000*ln(1.0771)) =
Load cases
1-3 Φ = (1 + 0.3003979)*3.5456076 = 4.6107008
New or corroded
Load cases
4-7 Φ = (1 + 0.3004360)*3.5673274 = 4.6390811
Load cases
1-3 Q1 = (1.0515711 - 1 - 4.6107008*0.0050230) / (1 + 4.6107008*0.1012484) = 0.0193694
New or corroded
Load cases
4-7 Q1 = (1.0515711 - 1 - 4.6390811*0.0050210) / (1 + 4.6390811*0.1012277) = 0.0192421
Load cases
1-3 Qz1 = (0.0005076 + 0.0193694*0.0050230)*14.22388644 / 2 = 12.3795
New or corroded
Load cases
4-7 Qz1 = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692
Load cases
1-3 Qz2 = (0.0050230 + 0.0193694*0.1012484)*14.22388644 / 2 = 142.9404
New or corroded
2/10/2007 10:33:19 AM 334/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-335-320.jpg)
![Load cases
4-7 Qz2 = (0.0050210 + 0.0192421*0.1012277)*14.22668374 / 2 = 142.7397
Load cases U = [0.0050230 + (1.0515711 - 1)*0.1012484]*14.22388644 / (1 +4.6107008*0.1012484)
1-3 285.8809
New or corroded
=
Load cases U = [0.0050210 + (1.0515711 - 1)*0.1012277]*14.22668374 / (1 +4.6390811*0.1012277)
4-7 285.4795
=
UHX-13.5.5 Step
5
γb = 0
Tr = (T' + Ts' + Tc')
/3
Condition Design
New
or γb = 0 = 0
corroded
UHX-13.5.5 Step 5
γ = [αt,m*(Tt,m - Ta) - αs,m*(Ts,m - Ta)]*L
ωs = ρs*ks*βs*δs*(1 + h*βs)
ωc = ρc*kc*βc*δc*(1 + h*βc)
ωs* = ao2*(ρs2 - 1)*(ρs - 1) / 4 - ωs
ωc* = ao2*[(ρc2 + 1)*(ρc - 1) / 4 - (ρs - 1) / 2] - ωc
Condition Design
Ps (psi) Pt (psi)
Load Case 1 0 50
Load Case 2 50 0
Load Case 3 50 50
Load Case 4 0 0
Load Case 5 0 50
Load Case 6 50 0
Load Case 7 50 50
New or
Load case 1, 2, 3 γ= 0.0000
corroded
Load case 4, 5, 6,
7 γ = [9.17E-06*(282.50 - 70) - 9.11E-06*(254.50 - 70)]*272.7500 = 0.0728111
New or
corroded
All load cases ωs = 1.0515711*72,583.7266*0.2780179*2.690900E-04*(1 + 1.5000*0.2780179) = 8.0915
New or
corroded
All load cases ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362
New or
corroded
All load cases ωc = 1.0515711*72,218.5078*0.2784858*2.706823E-04*(1 + 1.5000*0.2784858) = 8.1160
2/10/2007 10:33:19 AM 335/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-336-320.jpg)
![New or ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212
corroded
All load cases -4.1607
=
UHX-13.5.6 Step 6
Ps' = (xs + 2*(1 - xs)*νt + 2 / Ks,t*(Ds / Do)2*νs - (ρs2 - 1) / (J*Ks,t) - (1 - J)*[Dj2 - (2*as)2] / (2*J*Ks,t*Do2))*Ps
Pt' = (xt + 2*(1 - xt)*νt + 1 / (J*Ks,t))*Pt
Pγ = Nt*Kt*γ / (π*ao2)
PW = - U*γb*W / (2*π*ao2)
Prim = - U / ao2*(ωs**Ps - ωc**Pt)
Pe = J*Ks,t / (1 + J*Ks,t*[QZ1 + (ρs - 1)*QZ2] )*(Ps' - Pt' + Pγ + PW + Prim)
Condition Design
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 -
Load case
1, 4, 5 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 0
(2*1.0000000*0.2124548*107.69602))*0 =
New or
corroded
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 -
Load case
2, 3 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 177.27
(2*1.0000000*0.2124548*107.69602))*50 =
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2135724*(113.2500 / 107.6960)2*0.3100 -
Load case
6, 7 (1.05157112 - 1) / (1.0000000*0.2135724) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 176.56
(2*1.0000000*0.2135724*107.69602))*50 =
Load case
1, 3 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*50 = 277.55
New or
corroded Load case
2, 4, 6 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*0 = 0
Load case
5, 7 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2135724))*50 = 276.31
Load case
New or 1, 2, 3 Pγ = 3408*18,199.88*0.0000000 / (π*53.84802) = 0
corroded
Load case
4, 5, 6, 7 Pγ = 3408*18,360.86*0.0728111 / (π*53.84802) = 500.15
New or All load
corroded cases PW = - 285.8808731*0*0.00 / (2*π*53.84802) = 0
Load case
1 Prim = - 285.8808731 / 53.84802*(-4.1361599*0 - -4.1607299*50) = -20.51
Load case
2 Prim = - 285.8808731 / 53.84802*(-4.1361599*50 - -4.1607299*0) = 20.39
New or
Load case
corroded
3 Prim = - 285.8808731 / 53.84802*(-4.1361599*50 - -4.1607299*50) = -0.12
Load case
4 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*0) = 0
Load case
5 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*50) = -20.48
Load case
6 Prim = - 285.4794649 / 53.84802*(-4.1361599*50 - -4.1607299*0) = 20.36
Load case
7 Prim = - 285.4794649 / 53.84802*(-4.1361599*50 - -4.1607299*50) = -0.12
Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
1 -12.19
1)*142.9404365] )*(0 - 277.5453 + 0 + 0 + -20.5109) =
2/10/2007 10:33:19 AM 336/368
New or
corroded](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-337-320.jpg)
![Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
2 8.08
1)*142.9404365] )*(177.2692 - 0 + 0 + 0 + 20.3898) =
Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
3 -4.10
1)*142.9404365] )*(177.2692 - 277.5453 + 0 + 0 + -0.1211) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
4 20.49
1)*142.7397324] )*(0 - 0 + 500.1513 + 0 + 0) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
5 8.33
1)*142.7397324] )*(0 - 276.3137 + 500.1513 + 0 + -20.4821) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
6 28.55
1)*142.7397324] )*(176.5551 - 0 + 500.1513 + 0 + 20.3612) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
7 16.40
1)*142.7397324] )*(176.5551 - 276.3137 + 500.1513 + 0 + -0.1210) =
UHX-13.5.7 Step 7
Q2 = ((ωs**Ps - ωc**Pt) + γb*W / (2*π)) / (1 + Φ*Zm)
Q3 = Q1 + 2*Q2 / (Pe*ao2)
Fm is calculated per Table UHX-13.1
σ = (1.5*Fm / µ*)*(2*ao / (h - hg'))2*Pe
Condition Design
Load case 1 Q2 = ((-4.1361599*0 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 141.8277
Load case 2 Q2 = ((-4.1361599*50 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = -140.9902
New or corroded
Load case 3 Q2 = ((-4.1361599*50 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 0.8375211
Load case 4 Q2 = ((-4.1361599*0 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 0.0000000
Load case 5 Q2 = ((-4.1361599*0 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 141.5596
Load case 6 Q2 = ((-4.1361599*50 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = -140.7237
Load case 7 Q2 = ((-4.1361599*50 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 0.8359380
Load case 1 Q3 = 0.0193694 + 2*141.8277 / (-12.1864*53.84802) = 0.0113420
Load case 2 Q3 = 0.0193694 + 2*-140.9902 / (8.0816*53.84802) = 0.0073361
New or corroded
Load case 3 Q3 = 0.0193694 + 2*0.8375211 / (-4.1049*53.84802) = 0.0192287
Load case 4 Q3 = 0.0192421 + 2*0.0000000 / (20.4874*53.84802) = 0.0192421
Load case 5 Q3 = 0.0192421 + 2*141.5596 / (8.3299*53.84802) = 0.0309638
Load case 6 Q3 = 0.0192421 + 2*-140.7237 / (28.5535*53.84802) = 0.0158427
Load case 7 Q3 = 0.0192421 + 2*0.8359380 / (16.3961*53.84802) = 0.0192773
Stress Allowable Over-
Tubesheet Bending Stress (psi) (psi) stressed?
σ = (1.5*0.0203531 / 0.3116704)*(2*53.8480 / (1.5000 -
Load case 1 -6,153 28,125 No
0.0000))2*-12.1864 =
σ = (1.5*0.0190249 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*8.0816
Load case 2 3,814 28,125 No
=
New or corroded σ = (1.5*0.0233922 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*-4.1049
Load case 3 -2,382 28,125 No
=
Load case 4 11,894 57,195 No
2/10/2007 10:33:19 AM 337/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-338-320.jpg)
![σ = (1.5*0.0233946 / 0.3115843)*(2*53.8480 / (1.5000 -
0.0000))2*20.4874 =
σ = (1.5*0.0280129 / 0.3115843)*(2*53.8480 / (1.5000 - 0.0000))2*8.3299
Load case 5 5,791 57,195 No
=
σ = (1.5*0.0220552 / 0.3115843)*(2*53.8480 / (1.5000 -
Load case 6 15,628 57,195 No
0.0000))2*28.5535 =
σ = (1.5*0.0234084 / 0.3115843)*(2*53.8480 / (1.5000 -
Load case 7 9,525 57,195 No
0.0000))2*16.3961 =
UHX-13.5.8 Step 8
τ = (1 / (2*µ))*(ao / h)*Pe
Condition Design
Stress Allowable Over-
Tubesheet Shear Stress (psi) (psi) stressed?
Load case 1 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-12.1864 = -892 15,000 No
Load case 2 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*8.0816 = 591 15,000 No
New or corroded
Load case 3 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-4.1049 = -300 15,000 No
Load case 4 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*20.4874 = 1,499 15,252 No
Load case 5 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*8.3299 = 610 15,252 No
Load case 6 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*28.5535 = 2,089 15,252 No
Load case 7 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*16.3961 = 1,200 15,252 No
UHX-13.5.9 Step 9
Fq = (Zd + Q3*Zv)*Xa4 / 2
Fs = MAX [(3.25 - 0.5*Fq), 1.25] but not greater than 2.0
σt,o = ((Ps*xs - Pt*xt) - Pe*Fq) / (xt - xs)
lt = k*l
rt = (dt2 + (dt - 2*tt)2 )0.5 / 4
Ft = lt / rt
Ct = (2*π2*Et / Sy,t)0.5
For Ct <= Ft, Stb = Min{π2*Et / (Fs*Ft2), St}
For Ct > Ft, Stb = Min{Sy,t / Fs*(1 - Ft/ (2*Ct)), St}
Condition Design
Load case 1 Fq = (0.0005076 + 0.0113420*0.0050230)*14.22388644 / 2 = 11.5543
New or Load case 2 Fq = (0.0005076 + 0.0073361*0.0050230)*14.22388644 / 2 = 11.1425
corroded
Load case 3 Fq = (0.0005076 + 0.0192287*0.0050230)*14.22388644 / 2 = 12.3651
Load case 4 Fq = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692
Load case 5 Fq = (0.0005073 + 0.0309638*0.0050210)*14.22668374 / 2 = 13.5747
2/10/2007 10:33:19 AM 338/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-339-320.jpg)
![Load case 6 Fq = (0.0005073 + 0.0158427*0.0050210)*14.22668374 / 2 = 12.0196
Load case 7 Fq = (0.0005073 + 0.0192773*0.0050210)*14.22668374 / 2 = 12.3728
New or
All load cases rt = (1.25000002 + (1.2500000 - 2*0.0490000)2 )0.5 / 4 = 0.4250
corroded
New or
All load cases Ft = 87.3000 / 0.4250 = 205.4258
corroded
Load case 1 Ct = 0
New or
corroded Load case 2, 3 Ct = (2*π2*26,850,000 / 18,625)0.5 = 168.6898
Load case 4, 5,
Ct = (2*π2*27,087,500 / 19,385)0.5 = 166.0797
6, 7
New or
All load cases Fs = MAX [(3.25 - 0.5*11.5542910) = -2.5271, 1.25] but not greater than 2.0 = 1.2500
corroded
Stress Allowable Over-
Tube Evaluation (psi) (psi) stressed?
σt,o = ((0*0.5408861 - 50*0.6100532) - -12.1864*11.5542910) /
Load case 1 1,595 16,471 No
(0.6100532 - 0.5408861) =
σt,o = ((50*0.5408861 - 0*0.6100532) - 8.0816*11.1424730) / (0.6100532
Load case 2 -911 16,471 No
- 0.5408861) =
σt,o = ((50*0.5408861 - 50*0.6100532) - -4.1049*12.3650662) /
New or Load case 3 684 16,471 No
corroded (0.6100532 - 0.5408861) =
σt,o = ((0*0.5408861 - 0*0.6100532) - 20.4874*12.3691774) / (0.6100532
Load case 4 -3,664 33,412 No
- 0.5408861) =
σt,o = ((0*0.5408861 - 50*0.6100532) - 8.3299*13.5746696) / (0.6100532
Load case 5 -2,076 33,412 No
- 0.5408861) =
σt,o = ((50*0.5408861 - 0*0.6100532) - 28.5535*12.0195759) /
Load case 6 -4,571 33,412 No
(0.6100532 - 0.5408861) =
σt,o = ((50*0.5408861 - 50*0.6100532) - 16.3961*12.3727940) /
Load case 7 -2,983 33,412 No
(0.6100532 - 0.5408861) =
Load case 1, 3 Stb = 0 No
New or
corroded
Load case 2 For Ct <= 205.4258, Stb = Min{π2*26,850,000 / (1.2500*205.42582) = 5,024, 16,471} = 5,024 No
Load case 4, 5,
6, 7
For Ct <= 205.4258, Stb = Min{π2*27,087,500 / (1.2500*205.42582) = 5,068, 16,706} = 5,068 No
UHX-13.5.10 Step 10
σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts))
σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σs = ABS(σs,m) + ABS(σs,b)
σc,m = ac2 / (tc*(2*ac + tc))*Pt
σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σc = ABS(σc,m) + ABS(σc,b)
Condition Design
Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in
Stress 1.5*Ss SPS,s Over-
Shell Evaluation (psi) (psi) (psi) stressed?
2/10/2007 10:33:19 AM 339/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-340-320.jpg)
![σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*50 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 /
1.50003)*(1 + 1.5000*0.2784858 / 2)*(-12.1864*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*141.8277 / 19,432
53.84802)) =
σc = ABS(3,763) + ABS(19,432) = 23,195
σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0
Load
case
σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*0 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 /
24,713 49,425 No
2
1.50003)*(1 + 1.5000*0.2784858 / 2)*(8.0816*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*-140.9902 / -4,844
53.84802)) =
σc = ABS(0) + ABS(-4,844) = 4,844
σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763
Load
case
σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*50 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 /
24,713 49,425 No
3
1.50003)*(1 + 1.5000*0.2784858 / 2)*(-4.1049*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*0.8375211 / 14,588
53.84802)) =
σc = ABS(3,763) + ABS(14,588) = 18,351
σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0
Load
case
σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 /
N/A 50,100 No
4
1.50003)*(1 + 1.5000*0.2784858 / 2)*(20.4874*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*0.0000000 / -14,944
53.84802)) =
σc = ABS(0) + ABS(-14,944) = 14,944
σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763
Load
case
σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*50 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 /
N/A 50,100 No
5
1.50003)*(1 + 1.5000*0.2784858 / 2)*(8.3299*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*141.5596 / 4,503
53.84802)) =
σc = ABS(3,763) + ABS(4,503) = 8,266
σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0
Load
case
σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 /
N/A 50,100 No
6
1.50003)*(1 + 1.5000*0.2784858 / 2)*(28.5535*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*-140.7237 / -19,799
53.84802)) =
σc = ABS(0) + ABS(-19,799) = 19,799
σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763
Load
case
σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*50 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 /
N/A 50,100 No
7
1.50003)*(1 + 1.5000*0.2784858 / 2)*(16.3961*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*0.8359380 / -352
53.84802)) =
σc = ABS(3,763) + ABS(-352) = 4,115
Calculations for Vacuum-SS Condition
UHX-13.5.1 Step 1
Condition Vacuum-SS
New or corroded Do = 2*53.2230 + 1.2500 = 107.6960
New or corroded µ = (1.6563 - 1.2500) /1.6563 = 0.2453
*
d = MAX{[1.2500 - 2*0.0490*(26,850,000 / 26,850,000)*(16,471 / 18,750)*0.8500],
Load cases 1-3 1.1768267
New or corroded
[1.2500 - 2*0.0490]} =
*
d = MAX{[1.2500 - 2*0.0490*(27,087,500 / 27,075,000)*(16,706 / 19,065)*0.8500],
Load cases 4-7 1.1769739
[1.2500 - 2*0.0490]} =
New or corroded p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097
New or corroded
Load cases 1-3 µ* = (1.7096848 - 1.1768267)/1.7096848 = 0.311670
Load cases 4-7 µ* = (1.7096848 - 1.1769739)/1.7096848 = 0.311584
2/10/2007 10:33:19 AM 341/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-342-320.jpg)
![Load cases
New or 1-3 δc = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3000 / 2) = 2.7068E-04
corroded
Load cases
4-7 δc = 113.25002 / (4*27,250,000*0.3750) * (1 - 0.3000 / 2) = 2.6671E-04
UHX-13.5.3 Step 3
Condition Vacuum-SS
New or corroded h/p = 1.5000/1.6563 = 0.9056
Load cases
New or 1-3 - from Fig. UHX-11.3(a) E*/E = 0.3370
corroded
Load cases
4-7 - from Fig. UHX-11.3(a) E*/E = 0.3369
Load cases
New or 1-3 E* = 0.3369805*26,850,000 = 9,047,927
corroded
Load cases
4-7 E* = 0.3368625*27,075,000 = 9,120,553
Load cases
New or 1-3 - from Fig. UHX-11.3(b) ν* = 0.3004
corroded
Load cases
4-7 - from Fig. UHX-11.3(b) ν* = 0.3004
Load cases Xa = [24*(1 - 0.30039792)*3408*26,850,000*0.0490*(1.2500 - 0.0490)*53.84802 /
1-3 14.2239
New or (9,047,927*272.7500*1.50003)]0.25 =
corroded
Load cases Xa = [24*(1 - 0.30043602)*3408*27,087,500*0.0490*(1.2500 - 0.0490)*53.84802 /
4-7 14.2267
(9,120,553*272.7500*1.50003)]0.25 =
Load cases
New or 1-3 Zd = 0.0005076
corroded
Load cases
4-7 Zd = 0.0005073
Load cases
New or 1-3 Zv = 0.0050230
corroded
Load cases
4-7 Zv = 0.0050210
Load cases
New or 1-3 Zm = 0.1012484
corroded
Load cases
4-7 Zm = 0.1012277
UHX-13.5.4 Step 4
Condition Vacuum-SS
New or corroded K = 116.0000 / 107.6960 = 1.0771059
Load cases F = ((1 - 0.3003979) / 9,047,927)*(21,978,486.00 + 21,882,362.00 +
1-3 3.5456076
New or corroded
26,850,000*ln(1.0771)) =
Load cases F = ((1 - 0.3004360) / 9,120,553)*(22,289,542.00 + 22,208,356.00 +
4-7 3.5673274
27,075,000*ln(1.0771)) =
Load cases
1-3 Φ = (1 + 0.3003979)*3.5456076 = 4.6107008
New or corroded
Load cases
4-7 Φ = (1 + 0.3004360)*3.5673274 = 4.6390811
Q1 = (1.0515711 - 1 - 4.6107008*0.0050230) / (1 + 4.6107008*0.1012484) = 0.0193694
New or corroded
2/10/2007 10:33:19 AM 343/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-344-320.jpg)
![Load cases
1-3
Load cases
4-7 Q1 = (1.0515711 - 1 - 4.6390811*0.0050210) / (1 + 4.6390811*0.1012277) = 0.0192421
Load cases
1-3 Qz1 = (0.0005076 + 0.0193694*0.0050230)*14.22388644 / 2 = 12.3795
New or corroded
Load cases
4-7 Qz1 = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692
Load cases
1-3 Qz2 = (0.0050230 + 0.0193694*0.1012484)*14.22388644 / 2 = 142.9404
New or corroded
Load cases
4-7 Qz2 = (0.0050210 + 0.0192421*0.1012277)*14.22668374 / 2 = 142.7397
Load cases U = [0.0050230 + (1.0515711 - 1)*0.1012484]*14.22388644 / (1 +4.6107008*0.1012484)
1-3 285.8809
New or corroded
=
Load cases U = [0.0050210 + (1.0515711 - 1)*0.1012277]*14.22668374 / (1 +4.6390811*0.1012277)
4-7 285.4795
=
UHX-13.5.5 Step 5
Condition
Vacuum-SS
New
or γb = 0 = 0
corroded
UHX-13.5.5 Step 5
Condition Vacuum-SS
Ps (psi) Pt (psi)
Load Case 1 0 50
Load Case 2 -15 0
Load Case 3 -15 50
Load Case 4 0 0
Load Case 5 0 50
Load Case 6 -15 0
Load Case 7 -15 50
New or
Load case 1, 2, 3 γ= 0.0000
corroded
Load case 4, 5, 6,
7 γ = [9.17E-06*(282.50 - 70) - 9.11E-06*(254.50 - 70)]*272.7500 = 0.0728111
New or
corroded
All load cases ωs = 1.0515711*72,583.7266*0.2780179*2.690900E-04*(1 + 1.5000*0.2780179) = 8.0915
New or
corroded
All load cases ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362
New or
corroded
All load cases ωc = 1.0515711*72,218.5078*0.2784858*2.706823E-04*(1 + 1.5000*0.2784858) = 8.1160
New or ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212
corroded
All load cases -4.1607
=
2/10/2007 10:33:19 AM 344/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-345-320.jpg)
![UHX-13.5.6 Step 6
Condition Vacuum-SS
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 -
Load case
1, 4, 5 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 0
(2*1.0000000*0.2124548*107.69602))*0 =
New or
corroded
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 -
Load case
2, 3 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / -53.18
(2*1.0000000*0.2124548*107.69602))*-15 =
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2135724*(113.2500 / 107.6960)2*0.3100 -
Load case
6, 7 (1.05157112 - 1) / (1.0000000*0.2135724) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / -52.97
(2*1.0000000*0.2135724*107.69602))*-15 =
Load case
1, 3 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*50 = 277.55
New or
corroded Load case
2, 4, 6 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*0 = 0
Load case
5, 7 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2135724))*50 = 276.31
Load case
New or 1, 2, 3 Pγ = 3408*18,199.88*0.0000000 / (π*53.84802) = 0
corroded
Load case
4, 5, 6, 7 Pγ = 3408*18,360.86*0.0728111 / (π*53.84802) = 500.15
New or All load
corroded cases PW = - 285.8808731*0*0.00 / (2*π*53.84802) = 0
Load case
1 Prim = - 285.8808731 / 53.84802*(-4.1361599*0 - -4.1607299*50) = -20.51
Load case
2 Prim = - 285.8808731 / 53.84802*(-4.1361599*-15 - -4.1607299*0) = -6.12
New or
Load case
corroded
3 Prim = - 285.8808731 / 53.84802*(-4.1361599*-15 - -4.1607299*50) = -26.63
Load case
4 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*0) = 0
Load case
5 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*50) = -20.48
Load case
6 Prim = - 285.4794649 / 53.84802*(-4.1361599*-15 - -4.1607299*0) = -6.11
Load case
7 Prim = - 285.4794649 / 53.84802*(-4.1361599*-15 - -4.1607299*50) = -26.59
Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
1 -12.19
1)*142.9404365] )*(0 - 277.5453 + 0 + 0 + -20.5109) =
Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
2 -2.42
1)*142.9404365] )*(-53.1808 - 0 + 0 + 0 + -6.1169) =
Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
New or
3 -14.61
corroded 1)*142.9404365] )*(-53.1808 - 277.5453 + 0 + 0 + -26.6279) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
4 20.49
1)*142.7397324] )*(0 - 0 + 500.1513 + 0 + 0) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
5 8.33
1)*142.7397324] )*(0 - 276.3137 + 500.1513 + 0 + -20.4821) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
6 18.07
1)*142.7397324] )*(-52.9665 - 0 + 500.1513 + 0 + -6.1084) =
2/10/2007 10:33:19 AM 345/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-346-320.jpg)
![Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
7 5.91
1)*142.7397324] )*(-52.9665 - 276.3137 + 500.1513 + 0 + -26.5905) =
UHX-13.5.7 Step 7
Condition Vacuum-SS
Load case 1 Q2 = ((-4.1361599*0 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 141.8277
Load case 2 Q2 = ((-4.1361599*-15 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 42.2970
New or corroded
Load case 3 Q2 = ((-4.1361599*-15 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 184.1247
Load case 4 Q2 = ((-4.1361599*0 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 0.0000000
Load case 5 Q2 = ((-4.1361599*0 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 141.5596
Load case 6 Q2 = ((-4.1361599*-15 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 42.2171
Load case 7 Q2 = ((-4.1361599*-15 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 183.7767
Load case 1 Q3 = 0.0193694 + 2*141.8277 / (-12.1864*53.84802) = 0.0113420
Load case 2 Q3 = 0.0193694 + 2*42.2970 / (-2.4245*53.84802) = 0.0073361
New or corroded
Load case 3 Q3 = 0.0193694 + 2*184.1247 / (-14.6109*53.84802) = 0.0106773
Load case 4 Q3 = 0.0192421 + 2*0.0000000 / (20.4874*53.84802) = 0.0192421
Load case 5 Q3 = 0.0192421 + 2*141.5596 / (8.3299*53.84802) = 0.0309638
Load case 6 Q3 = 0.0192421 + 2*42.2171 / (18.0675*53.84802) = 0.0208538
Load case 7 Q3 = 0.0192421 + 2*183.7767 / (5.9101*53.84802) = 0.0406902
Stress Allowable Over-
Tubesheet Bending Stress (psi) (psi) stressed?
σ = (1.5*0.0203531 / 0.3116704)*(2*53.8480 / (1.5000 -
Load case 1 -6,153 28,125 No
0.0000))2*-12.1864 =
σ = (1.5*0.0190249 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*-2.4245
Load case 2 -1,144 28,125 No
=
σ = (1.5*0.0201327 / 0.3116704)*(2*53.8480 / (1.5000 -
New or corroded
Load case 3 -7,298 28,125 No
0.0000))2*-14.6109 =
σ = (1.5*0.0233946 / 0.3115843)*(2*53.8480 / (1.5000 -
Load case 4 11,894 57,195 No
0.0000))2*20.4874 =
σ = (1.5*0.0280129 / 0.3115843)*(2*53.8480 / (1.5000 - 0.0000))2*8.3299
Load case 5 5,791 57,195 No
=
σ = (1.5*0.0240296 / 0.3115843)*(2*53.8480 / (1.5000 -
Load case 6 10,774 57,195 No
0.0000))2*18.0675 =
σ = (1.5*0.0318451 / 0.3115843)*(2*53.8480 / (1.5000 - 0.0000))2*5.9101
Load case 7 4,671 57,195 No
=
UHX-13.5.8 Step 8
Condition Vacuum-SS
Stress Allowable Over-
Tubesheet Shear Stress (psi) (psi) stressed?
Load case 1 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-12.1864 = -892 15,000 No
Load case 2 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-2.4245 = -177 15,000 No
New or corroded
2/10/2007 10:33:19 AM 346/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-347-320.jpg)
![Load case 3 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-14.6109 = -1,069 15,000 No
Load case 4 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*20.4874 = 1,499 15,252 No
Load case 5 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*8.3299 = 610 15,252 No
Load case 6 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*18.0675 = 1,322 15,252 No
Load case 7 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*5.9101 = 432 15,252 No
UHX-13.5.9 Step 9
Condition Vacuum-SS
Load case 1 Fq = (0.0005076 + 0.0113420*0.0050230)*14.22388644 / 2 = 11.5543
New or Load case 2 Fq = (0.0005076 + 0.0073361*0.0050230)*14.22388644 / 2 = 11.1425
corroded
Load case 3 Fq = (0.0005076 + 0.0106773*0.0050230)*14.22388644 / 2 = 11.4860
Load case 4 Fq = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692
Load case 5 Fq = (0.0005073 + 0.0309638*0.0050210)*14.22668374 / 2 = 13.5747
Load case 6 Fq = (0.0005073 + 0.0208538*0.0050210)*14.22668374 / 2 = 12.5349
Load case 7 Fq = (0.0005073 + 0.0406902*0.0050210)*14.22668374 /2= 14.5750
New or
All load cases rt = (1.25000002 + (1.2500000 - 2*0.0490000)2 )0.5 / 4 = 0.4250
corroded
New or
All load cases Ft = 87.3000 / 0.4250 = 205.4258
corroded
Load case 1, 2, 3 Ct = 0
New or
corroded
Load case 4, 5,
Ct = (2*π2*27,087,500 / 19,385)0.5 = 166.0797
6, 7
New or
All load cases Fs = MAX [(3.25 - 0.5*11.5542910) = -2.5271, 1.25] but not greater than 2.0 = 1.2500
corroded
Stress Allowable Over-
Tube Evaluation (psi) (psi) stressed?
σt,o = ((0*0.5408861 - 50*0.6100532) - -12.1864*11.5542910) /
Load case 1 1,595 16,471 No
(0.6100532 - 0.5408861) =
σt,o = ((-15*0.5408861 - 0*0.6100532) - -2.4245*11.1424730) /
Load case 2 273 16,471 No
(0.6100532 - 0.5408861) =
σt,o = ((-15*0.5408861 - 50*0.6100532) - -14.6109*11.4859558) /
New or Load case 3 1,868 16,471 No
corroded (0.6100532 - 0.5408861) =
σt,o = ((0*0.5408861 - 0*0.6100532) - 20.4874*12.3691774) / (0.6100532
Load case 4 -3,664 33,412 No
- 0.5408861) =
σt,o = ((0*0.5408861 - 50*0.6100532) - 8.3299*13.5746696) / (0.6100532
Load case 5 -2,076 33,412 No
- 0.5408861) =
σt,o = ((-15*0.5408861 - 0*0.6100532) - 18.0675*12.5349282) /
Load case 6 -3,392 33,412 No
(0.6100532 - 0.5408861) =
σt,o = ((-15*0.5408861 - 50*0.6100532) - 5.9101*14.5749638) /
Load case 7 -1,804 33,412 No
(0.6100532 - 0.5408861) =
New or
Load case 1, 2, 3 Stb = 0 No
corroded
Load case 4, 5,
6, 7
For Ct <= 205.4258, Stb = Min{π2*27,087,500 / (1.2500*205.42582) = 5,068, 16,706} = 5,068 No
2/10/2007 10:33:19 AM 347/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-348-320.jpg)
![UHX-13.5.10 Step 10
σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts))
σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σs = ABS(σs,m) + ABS(σs,b)
σc,m = ac2 / (tc*(2*ac + tc))*Pt
σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σc = ABS(σc,m) + ABS(σc,b)
Condition Vacuum-SS
Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in
Stress 1.5*Ss SPS,s Over-
Shell Evaluation (psi) (psi) (psi) stressed?
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-12.1864 + (1.05157112 - 2,573
Load 1)*(0 - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) =
case 24,713 49,425 No
1 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*0 - 0.3100*56.6250*2,573/ 26,850,000) + 6*(1 -
0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-12.1864*(0.0050230 + -9,304
2
0.1012484*0.0193694) + 2*0.1012484*141.8277 / 53.8480 )) =
σs = ABS(2,573) + ABS(-9,304) = 11,878
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-2.4245 + (1.05157112 - -273
Load 1)*(-15 - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) =
case 24,713 49,425 No
2 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*-15 - 0.3100*56.6250*-273/ 26,850,000) + 6*(1 -
0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-2.4245*(0.0050230 + -4,782
2
0.1012484*0.0193694) + 2*0.1012484*42.2970 / 53.8480 )) =
σs = ABS(-273) + ABS(-4,782) = 5,055
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-14.6109 + (1.05157112 - 2,300
New or Load 1)*(-15 - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) =
corroded case 24,713 49,425 No
3 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*-15 - 0.3100*56.6250*2,300/ 26,850,000) + 6*(1 -
0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-14.6109*(0.0050230 + -14,086
2
0.1012484*0.0193694) + 2*0.1012484*184.1247 / 53.8480 )) =
σs = ABS(2,300) + ABS(-14,086) = 16,387
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(20.4874 + (1.05157112 - 1,394
Load 1)*(0 - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) =
case N/A 50,100 No
4 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*1,394/ 27,230,000) + 6*(1 -
0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(20.4874*(0.0050210 + 14,219
2
0.1012277*0.0192421) + 2*0.1012277*0.0000000 / 53.8480 )) =
σs = ABS(1,394) + ABS(14,219) = 15,614
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(8.3299 + (1.05157112 - 1)*(0 3,969
Load - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) =
case N/A 50,100 No
5 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*3,969/ 27,230,000) + 6*(1 -
0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(8.3299*(0.0050210 + 4,905
2
0.1012277*0.0192421) + 2*0.1012277*141.5596 / 53.8480 )) =
σs = ABS(3,969) + ABS(4,905) = 8,874
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(18.0675 + (1.05157112 - 1,122
Load 1)*(-15 - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) =
case N/A 50,100 No
6 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*-15 - 0.3100*56.6250*1,122/ 27,230,000) + 6*(1 -
0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(18.0675*(0.0050210 + 9,435
2
0.1012277*0.0192421) + 2*0.1012277*42.2171 / 53.8480 )) =
σs = ABS(1,122) + ABS(9,435) = 10,557
2/10/2007 10:33:19 AM 348/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-349-320.jpg)
![UHX-13.5.1 Step 1
Condition Vacuum-TS
New or corroded Do = 2*53.2230 + 1.2500 = 107.6960
New or corroded µ = (1.6563 - 1.2500) /1.6563 = 0.2453
*
d = MAX{[1.2500 - 2*0.0490*(26,850,000 / 26,850,000)*(16,471 / 18,750)*0.8500],
Load cases 1-3 1.1768267
New or corroded
[1.2500 - 2*0.0490]} =
*
d = MAX{[1.2500 - 2*0.0490*(27,087,500 / 27,075,000)*(16,706 / 19,065)*0.8500],
Load cases 4-7 1.1769739
[1.2500 - 2*0.0490]} =
New or corroded p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097
New or corroded
Load cases 1-3 µ* = (1.7096848 - 1.1768267)/1.7096848 = 0.311670
Load cases 4-7 µ* = (1.7096848 - 1.1769739)/1.7096848 = 0.311584
hg' = 0.0000
New or corroded ao = 107.6960 / 2 = 53.8480
New or corroded ρs = 56.6250 / 53.8480 = 1.051571
New or corroded ρc = 56.6250 / 53.8480 = 1.051571
New or corroded xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886
New or corroded xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053
UHX-13.5.2 Step 2
Condition Vacuum-TS
Load cases
New or 1-3 Ks = π*0.3750*(113.2500 + 0.3750)*26,850,000 / 272.7500 = 13,177,547.00
corroded
Load cases
4-7 Ks = π*0.3750*(113.2500 + 0.3750)*27,230,000 / 272.7500 = 13,364,045.00
Load cases
New or 1-3 Kt = π*0.0490*(1.2500 - 0.0490)*26,850,000 / 272.7500 = 18,199.88
corroded
Load cases
4-7 Kt = π*0.0490*(1.2500 - 0.0490)*27,087,500 / 272.7500 = 18,360.86
Load cases
New or 1-3 Ks,t = 13,177,547.00 / (3408*18,199.88) = 0.212455
corroded
Load cases
4-7 Ks,t = 13,364,045.00 / (3408*18,360.86) = 0.213572
Load cases
J = 1 as no expansion joint used
New or 1-3
corroded
Load cases
J = 1 as no expansion joint used
4-7
New or corroded βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179
Load cases
New or 1-3 ks = 0.2780179*26,850,000*0.37503 / (6*(1 - 0.31002)) = 72,583.73
corroded
Load cases
4-7 ks = 0.2780179*27,230,000*0.37503 / (6*(1 - 0.31002)) = 73,610.98
New or λs = (6*113.2500 / 1.50003)*72,583.7266*(1 + 1.5000*0.2780179 +
Load cases
corroded
1-3 21,978,486
1.50002*0.27801792 / 2) =
22,289,542
2/10/2007 10:33:19 AM 350/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-351-320.jpg)
![Load cases λs = (6*113.2500 / 1.50003)*73,610.9844*(1 + 1.5000*0.2780179 +
4-7
1.50002*0.27801792 / 2) =
Load cases
New or 1-3 δs = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3100 / 2) = 2.6909E-04
corroded
Load cases
4-7 δs = 113.25002 / (4*27,230,000*0.3750) * (1 - 0.3100 / 2) = 2.6533E-04
New or corroded βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858
Load cases
New or 1-3 kc = 0.2784858*26,850,000*0.37503 / (6*(1 - 0.30002)) = 72,218.51
corroded
Load cases
4-7 kc = 0.2784858*27,250,000*0.37503 / (6*(1 - 0.30002)) = 73,294.39
Load cases λc = (6*113.2500 / 1.50003)*72,218.5078*(1 + 1.5000*0.2784858 +
1-3 21,882,362
New or 1.50002*0.27848582 / 2) =
corroded
Load cases λc = (6*113.2500 / 1.50003)*73,294.3906*(1 + 1.5000*0.2784858 +
4-7 22,208,356
1.50002*0.27848582 / 2) =
Load cases
New or 1-3 δc = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3000 / 2) = 2.7068E-04
corroded
Load cases
4-7 δc = 113.25002 / (4*27,250,000*0.3750) * (1 - 0.3000 / 2) = 2.6671E-04
UHX-13.5.3 Step 3
Condition Vacuum-TS
New or corroded h/p = 1.5000/1.6563 = 0.9056
Load cases
New or 1-3 - from Fig. UHX-11.3(a) E*/E = 0.3370
corroded
Load cases
4-7 - from Fig. UHX-11.3(a) E*/E = 0.3369
Load cases
New or 1-3 E* = 0.3369805*26,850,000 = 9,047,927
corroded
Load cases
4-7 E* = 0.3368625*27,075,000 = 9,120,553
Load cases
New or 1-3 - from Fig. UHX-11.3(b) ν* = 0.3004
corroded
Load cases
4-7 - from Fig. UHX-11.3(b) ν* = 0.3004
Load cases Xa = [24*(1 - 0.30039792)*3408*26,850,000*0.0490*(1.2500 - 0.0490)*53.84802 /
1-3 14.2239
New or (9,047,927*272.7500*1.50003)]0.25 =
corroded
Load cases Xa = [24*(1 - 0.30043602)*3408*27,087,500*0.0490*(1.2500 - 0.0490)*53.84802 /
4-7 14.2267
(9,120,553*272.7500*1.50003)]0.25 =
Load cases
New or 1-3 Zd = 0.0005076
corroded
Load cases
4-7 Zd = 0.0005073
Load cases
New or 1-3 Zv = 0.0050230
corroded
Load cases
4-7 Zv = 0.0050210
Load cases
New or 1-3 Zm = 0.1012484
corroded
Load cases
4-7 Zm = 0.1012277
2/10/2007 10:33:19 AM 351/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-352-320.jpg)
![UHX-13.5.4 Step 4
Condition Vacuum-TS
New or corroded K = 116.0000 / 107.6960 = 1.0771059
Load cases F = ((1 - 0.3003979) / 9,047,927)*(21,978,486.00 + 21,882,362.00 +
1-3 3.5456076
New or corroded
26,850,000*ln(1.0771)) =
Load cases F = ((1 - 0.3004360) / 9,120,553)*(22,289,542.00 + 22,208,356.00 +
4-7 3.5673274
27,075,000*ln(1.0771)) =
Load cases
1-3 Φ = (1 + 0.3003979)*3.5456076 = 4.6107008
New or corroded
Load cases
4-7 Φ = (1 + 0.3004360)*3.5673274 = 4.6390811
Load cases
1-3 Q1 = (1.0515711 - 1 - 4.6107008*0.0050230) / (1 + 4.6107008*0.1012484) = 0.0193694
New or corroded
Load cases
4-7 Q1 = (1.0515711 - 1 - 4.6390811*0.0050210) / (1 + 4.6390811*0.1012277) = 0.0192421
Load cases
1-3 Qz1 = (0.0005076 + 0.0193694*0.0050230)*14.22388644 / 2 = 12.3795
New or corroded
Load cases
4-7 Qz1 = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692
Load cases
1-3 Qz2 = (0.0050230 + 0.0193694*0.1012484)*14.22388644 / 2 = 142.9404
New or corroded
Load cases
4-7 Qz2 = (0.0050210 + 0.0192421*0.1012277)*14.22668374 / 2 = 142.7397
Load cases U = [0.0050230 + (1.0515711 - 1)*0.1012484]*14.22388644 / (1 +4.6107008*0.1012484)
1-3 285.8809
New or corroded
=
Load cases U = [0.0050210 + (1.0515711 - 1)*0.1012277]*14.22668374 / (1 +4.6390811*0.1012277)
4-7 285.4795
=
UHX-13.5.5 Step 5
Condition
Vacuum-TS
New
or γb = 0 = 0
corroded
UHX-13.5.5 Step 5
Condition Vacuum-TS
Ps (psi) Pt (psi)
Load Case 1 0 -15
Load Case 2 50 0
Load Case 3 50 -15
Load Case 4 0 0
Load Case 5 0 -15
2/10/2007 10:33:19 AM 352/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-353-320.jpg)
![Load Case 6 50 0
Load Case 7 50 -15
New or
Load case 1, 2, 3 γ= 0.0000
corroded
Load case 4, 5, 6,
7 γ = [9.17E-06*(282.50 - 70) - 9.11E-06*(254.50 - 70)]*272.7500 = 0.0728111
New or
corroded
All load cases ωs = 1.0515711*72,583.7266*0.2780179*2.690900E-04*(1 + 1.5000*0.2780179) = 8.0915
New or
corroded
All load cases ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362
New or
corroded
All load cases ωc = 1.0515711*72,218.5078*0.2784858*2.706823E-04*(1 + 1.5000*0.2784858) = 8.1160
New or ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212
corroded
All load cases -4.1607
=
UHX-13.5.6 Step 6
Condition Vacuum-TS
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 -
Load case
1, 4, 5 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 0
(2*1.0000000*0.2124548*107.69602))*0 =
New or
corroded
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 -
Load case
2, 3 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 177.27
(2*1.0000000*0.2124548*107.69602))*50 =
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2135724*(113.2500 / 107.6960)2*0.3100 -
Load case
6, 7 (1.05157112 - 1) / (1.0000000*0.2135724) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 176.56
(2*1.0000000*0.2135724*107.69602))*50 =
Load case
1, 3 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*-15 = -83.26
New or
corroded Load case
2, 4, 6 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*0 = 0
Load case
5, 7 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2135724))*-15 = -82.89
Load case
New or 1, 2, 3 Pγ = 3408*18,199.88*0.0000000 / (π*53.84802) = 0
corroded
Load case
4, 5, 6, 7 Pγ = 3408*18,360.86*0.0728111 / (π*53.84802) = 500.15
New or All load
corroded cases PW = - 285.8808731*0*0.00 / (2*π*53.84802) = 0
Load case
1 Prim = - 285.8808731 / 53.84802*(-4.1361599*0 - -4.1607299*-15) = 6.15
Load case
2 Prim = - 285.8808731 / 53.84802*(-4.1361599*50 - -4.1607299*0) = 20.39
New or
Load case
corroded
3 Prim = - 285.8808731 / 53.84802*(-4.1361599*50 - -4.1607299*-15) = 26.54
Load case
4 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*0) = 0
Load case
5 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*-15) = 6.14
Load case
6 Prim = - 285.4794649 / 53.84802*(-4.1361599*50 - -4.1607299*0) = 20.36
Load case
7 Prim = - 285.4794649 / 53.84802*(-4.1361599*50 - -4.1607299*-15) = 26.51
2/10/2007 10:33:19 AM 353/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-354-320.jpg)
![Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
1 3.66
1)*142.9404365] )*(0 - -83.2636 + 0 + 0 + 6.1533) =
Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
2 8.08
1)*142.9404365] )*(177.2692 - 0 + 0 + 0 + 20.3898) =
Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 -
New or
3 11.74
corroded 1)*142.9404365] )*(177.2692 - -83.2636 + 0 + 0 + 26.5431) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
4 20.49
1)*142.7397324] )*(0 - 0 + 500.1513 + 0 + 0) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
5 24.13
1)*142.7397324] )*(0 - -82.8941 + 500.1513 + 0 + 6.1446) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
6 28.55
1)*142.7397324] )*(176.5551 - 0 + 500.1513 + 0 + 20.3612) =
Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 -
7 32.20
1)*142.7397324] )*(176.5551 - -82.8941 + 500.1513 + 0 + 26.5058) =
UHX-13.5.7 Step 7
Condition Vacuum-TS
Load case 1 Q2 = ((-4.1361599*0 - -4.1607299*-15) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = -42.5483
Load case 2 Q2 = ((-4.1361599*50 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = -140.9902
New or corroded
Load case 3 Q2 = ((-4.1361599*50 - -4.1607299*-15) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = -183.5385
Load case 4 Q2 = ((-4.1361599*0 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 0.0000000
Load case 5 Q2 = ((-4.1361599*0 - -4.1607299*-15) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = -42.4679
Load case 6 Q2 = ((-4.1361599*50 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = -140.7237
Load case 7 Q2 = ((-4.1361599*50 - -4.1607299*-15) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = -183.1915
Load case 1 Q3 = 0.0193694 + 2*-42.5483 / (3.6559*53.84802) = 0.0113420
Load case 2 Q3 = 0.0193694 + 2*-140.9902 / (8.0816*53.84802) = 0.0073361
New or corroded
Load case 3 Q3 = 0.0193694 + 2*-183.5385 / (11.7375*53.84802) = 0.0085838
Load case 4 Q3 = 0.0192421 + 2*0.0000000 / (20.4874*53.84802) = 0.0192421
Load case 5 Q3 = 0.0192421 + 2*-42.4679 / (24.1346*53.84802) = 0.0180284
Load case 6 Q3 = 0.0192421 + 2*-140.7237 / (28.5535*53.84802) = 0.0158427
Load case 7 Q3 = 0.0192421 + 2*-183.1915 / (32.2007*53.84802) = 0.0153181
Stress Allowable Over-
Tubesheet Bending Stress (psi) (psi) stressed?
σ = (1.5*0.0203531 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*3.6559
Load case 1 1,846 28,125 No
=
σ = (1.5*0.0190249 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*8.0816
Load case 2 3,814 28,125 No
=
σ = (1.5*0.0194386 / 0.3116704)*(2*53.8480 / (1.5000 -
New or corroded
Load case 3 5,660 28,125 No
0.0000))2*11.7375 =
σ = (1.5*0.0233946 / 0.3115843)*(2*53.8480 / (1.5000 -
Load case 4 11,894 57,195 No
0.0000))2*20.4874 =
σ = (1.5*0.0229164 / 0.3115843)*(2*53.8480 / (1.5000 -
Load case 5 13,725 57,195 No
0.0000))2*24.1346 =
2/10/2007 10:33:19 AM 354/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-355-320.jpg)
![σ = (1.5*0.0220552 / 0.3115843)*(2*53.8480 / (1.5000 -
Load case 6 15,628 57,195 No
0.0000))2*28.5535 =
σ = (1.5*0.0218485 / 0.3115843)*(2*53.8480 / (1.5000 -
Load case 7 17,459 57,195 No
0.0000))2*32.2007 =
UHX-13.5.8 Step 8
Condition Vacuum-TS
Stress Allowable Over-
Tubesheet Shear Stress (psi) (psi) stressed?
Load case 1 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*3.6559 = 268 15,000 No
Load case 2 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*8.0816 = 591 15,000 No
New or corroded
Load case 3 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*11.7375 = 859 15,000 No
Load case 4 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*20.4874 = 1,499 15,252 No
Load case 5 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*24.1346 = 1,766 15,252 No
Load case 6 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*28.5535 = 2,089 15,252 No
Load case 7 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*32.2007 = 2,356 15,252 No
UHX-13.5.9 Step 9
Condition Vacuum-TS
Load case 1 Fq = (0.0005076 + 0.0113420*0.0050230)*14.22388644 / 2 = 11.5543
New or Load case 2 Fq = (0.0005076 + 0.0073361*0.0050230)*14.22388644 /2= 11.1425
corroded
Load case 3 Fq = (0.0005076 + 0.0085838*0.0050230)*14.22388644 / 2 = 11.2707
Load case 4 Fq = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692
Load case 5 Fq = (0.0005073 + 0.0180284*0.0050210)*14.22668374 / 2 = 12.2444
Load case 6 Fq = (0.0005073 + 0.0158427*0.0050210)*14.22668374 / 2 = 12.0196
Load case 7 Fq = (0.0005073 + 0.0153181*0.0050210)*14.22668374 / 2 = 11.9656
New or
All load cases rt = (1.25000002 + (1.2500000 - 2*0.0490000)2 )0.5 / 4 = 0.4250
corroded
New or
All load cases Ft = 87.3000 / 0.4250 = 205.4258
corroded
Load case 1, 2, 3 Ct = (2*π2*26,850,000 / 18,625)0.5 = 168.6898
New or
corroded
Load case 4, 5,
Ct = (2*π2*27,087,500 / 19,385)0.5 = 166.0797
6, 7
New or
All load cases Fs = MAX [(3.25 - 0.5*11.5542910) = -2.5271, 1.25] but not greater than 2.0 = 1.2500
corroded
Stress Allowable Over-
Tube Evaluation (psi) (psi) stressed?
σt,o = ((0*0.5408861 - -15*0.6100532) - 3.6559*11.5542910) /
Load case 1 -478 16,471 No
(0.6100532 - 0.5408861) =
σt,o = ((50*0.5408861 - 0*0.6100532) - 8.0816*11.1424730) / (0.6100532
Load case 2 -911 16,471 No
- 0.5408861) =
σt,o = ((50*0.5408861 - -15*0.6100532) - 11.7375*11.2707439) /
New or Load case 3 -1,389 16,471 No
corroded (0.6100532 - 0.5408861) =
2/10/2007 10:33:19 AM 355/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-356-320.jpg)
![σt,o = ((0*0.5408861 - 0*0.6100532) - 20.4874*12.3691774) / (0.6100532
Load case 4 -3,664 33,412 No
- 0.5408861) =
σt,o = ((0*0.5408861 - -15*0.6100532) - 24.1346*12.2443568) /
Load case 5 -4,140 33,412 No
(0.6100532 - 0.5408861) =
σt,o = ((50*0.5408861 - 0*0.6100532) - 28.5535*12.0195759) /
Load case 6 -4,571 33,412 No
(0.6100532 - 0.5408861) =
σt,o = ((50*0.5408861 - -15*0.6100532) - 32.2007*11.9656201) /
Load case 7 -5,047 33,412 No
(0.6100532 - 0.5408861) =
New or
Load case 1, 2, 3 For Ct <= 205.4258, Stb = Min{π2*26,850,000 / (1.2500*205.42582) = 5,024, 16,471} = 5,024 No
corroded
Load case 4, 5,
6, 7
For Ct <= 205.4258, Stb = Min{π2*27,087,500 / (1.2500*205.42582) = 5,068, 16,706} = 5,068 No
UHX-13.5.10 Step 10
σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts))
σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σs = ABS(σs,m) + ABS(σs,b)
σc,m = ac2 / (tc*(2*ac + tc))*Pt
σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σc = ABS(σc,m) + ABS(σc,b)
Condition Vacuum-TS
Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in
Stress 1.5*Ss SPS,s Over-
Shell Evaluation (psi) (psi) (psi) stressed?
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(3.6559 + (1.05157112 - 1)*(0 - -772
Load -15)) + 56.62502*-15 / (0.3750*(2*56.6250 + 0.3750)) =
case 24,713 49,425 No
1 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*0 - 0.3100*56.6250*-772/ 26,850,000) + 6*(1 -
0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(3.6559*(0.0050230 + 2,791
2
0.1012484*0.0193694) + 2*0.1012484*-42.5483 / 53.8480 )) =
σs = ABS(-772) + ABS(2,791) = 3,563
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(8.0816 + (1.05157112 - 1)*(50 910
Load - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) =
case 24,713 49,425 No
2 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*50 - 0.3100*56.6250*910/ 26,850,000) + 6*(1 -
0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(8.0816*(0.0050230 + 15,939
2
0.1012484*0.0193694) + 2*0.1012484*-140.9902 / 53.8480 )) =
σs = ABS(910) + ABS(15,939) = 16,849
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(11.7375 + (1.05157112 - 138
New or Load 1)*(50 - -15)) + 56.62502*-15 / (0.3750*(2*56.6250 + 0.3750)) =
corroded case 24,713 49,425 No
3 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*50 - 0.3100*56.6250*138/ 26,850,000) + 6*(1 -
0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(11.7375*(0.0050230 + 18,731
2
0.1012484*0.0193694) + 2*0.1012484*-183.5385 / 53.8480 )) =
σs = ABS(138) + ABS(18,731) = 18,869
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(20.4874 + (1.05157112 - 1)*(0 1,394
Load - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) =
case N/A 50,100 No
4 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*1,394/ 27,230,000) + 6*(1 -
0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(20.4874*(0.0050210 + 14,219
2
0.1012277*0.0192421) + 2*0.1012277*0.0000000 / 53.8480 )) =
2/10/2007 10:33:19 AM 356/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-357-320.jpg)
![σc = ABS(-1,129) + ABS(-20,778) = 21,907
σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0
Load
case
σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 /
N/A 50,100 No
6
1.50003)*(1 + 1.5000*0.2784858 / 2)*(28.5535*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*-140.7237 / -19,799
53.84802)) =
σc = ABS(0) + ABS(-19,799) = 19,799
σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*-15 = -1,129
Load
case
σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*-15 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 /
N/A 50,100 No
7
1.50003)*(1 + 1.5000*0.2784858 / 2)*(32.2007*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*-183.1915 / -25,633
53.84802)) =
σc = ABS(-1,129) + ABS(-25,633) = 26,762
Calculations for Tube side hydrotest Condition
UHX-13.5.1 Step 1
Condition Tube side hydrotest
New Do = 2*53.2230 + 1.2500 = 107.6960
New µ = (1.6563 - 1.2500) /1.6563 = 0.2453
*
d = MAX{[1.2500 - 2*0.0490*(28.3E+06 / 28.3E+06)*(26,471 / 30,000)*0.8500],
New Load case 1 1.1765000
[1.2500 - 2*0.0490]} =
New p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097
New Load case 1 µ* = (1.7096848 - 1.1765000)/1.7096848 = 0.311861
hg' = 0.0000
New ao = 107.6960 / 2 = 53.8480
New ρs = 56.6250 / 53.8480 = 1.051571
New ρc = 56.6250 / 53.8480 = 1.051571
New xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886
New xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053
UHX-13.5.2 Step 2
Condition Tube side hydrotest
New Load case 1 Ks = π*0.3750*(113.2500 + 0.3750)*28.3E+06 / 272.7500 = 13,889,183.00
New Load case 1 Kt = π*0.0490*(1.2500 - 0.0490)*28.3E+06 / 272.7500 = 19,182.74
New Load case 1 Ks,t = 13,889,183.00 / (3408*19,182.74) = 0.212455
New Load case 1 J = 1 as no expansion joint used
New βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179
New Load case 1 ks = 0.2780179*28.3E+06*0.37503 / (6*(1 - 0.31002)) = 76,503.52
New Load case 1 λs = (6*113.2500 / 1.50003)*76,503.5234*(1 + 1.5000*0.2780179 + 1.50002*0.27801792 / 2) = 23,165,408
New Load case 1 δs = 113.25002 / (4*28.3E+06*0.3750) * (1 - 0.3100 / 2) = 2.5530E-04
New βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858
2/10/2007 10:33:19 AM 358/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-359-320.jpg)
![New Load case 1 kc = 0.2784858*28.3E+06*0.37503 / (6*(1 - 0.30002)) = 76,118.58
New Load case 1 λc = (6*113.2500 / 1.50003)*76,118.5781*(1 + 1.5000*0.2784858 + 1.50002*0.27848582 / 2) = 23,064,090
New Load case 1 δc = 113.25002 / (4*28.3E+06*0.3750) * (1 - 0.3000 / 2) = 2.5681E-04
UHX-13.5.3 Step 3
Condition Tube side hydrotest
New h/p = 1.5000/1.6563 = 0.9056
Load case
New
1 - from Fig. UHX-11.3(a) E*/E = 0.3372
Load case
New
1 E* = 0.3372423*28.3E+06 = 9,543,956
Load case
New
1 - from Fig. UHX-11.3(b) ν* = 0.3003
Load case Xa = [24*(1 - 0.30031352)*3408*28.3E+06*0.0490*(1.2500 - 0.0490)*53.84802 /
New
1 14.2213
(9,543,956*272.7500*1.50003)]0.25 =
Load case
New
1 Zd = 0.0005079
Load case
New
1 Zv = 0.0050249
Load case
New
1 Zm = 0.1012678
UHX-13.5.4 Step 4
Condition Tube side hydrotest
New K = 116.0000 / 107.6960 = 1.0771059
New Load case 1 F = ((1 - 0.3003135) / 9,543,956)*(23,165,408.00 + 23,064,090.00 + 28,300,000*ln(1.0771)) = 3.5432828
New Load case 1 Φ = (1 + 0.3003135)*3.5432828 = 4.6073786
New Load case 1 Q1 = (1.0515711 - 1 - 4.6073786*0.0050249) / (1 + 4.6073786*0.1012678) = 0.0193782
New Load case 1 Qz1 = (0.0005079 + 0.0193782*0.0050249)*14.22132354 / 2 = 12.3780
New Load case 1 Qz2 = (0.0050249 + 0.0193782*0.1012678)*14.22132354 / 2 = 142.9015
New Load case 1 U = [0.0050249 + (1.0515711 - 1)*0.1012678]*14.22132354 / (1 +4.6073786*0.1012678) = 285.8029
UHX-13.5.5 Step
5
Condition Tube
side hydrotest
New γb = 0 = 0
UHX-13.5.5 Step 5
Condition Tube side hydrotest
2/10/2007 10:33:19 AM 359/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-360-320.jpg)
![Ps (psi) Pt (psi)
Load Case 1 0 69.46
New All load cases γ= 0.0000
New Load case 1 ωs = 1.0515711*76,503.5234*0.2780179*2.553027E-04*(1 + 1.5000*0.2780179) = 8.0915
New Load case 1 ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362
New Load case 1 ωc = 1.0515711*76,118.5781*0.2784858*2.568134E-04*(1 + 1.5000*0.2784858) = 8.1160
New Load case 1 ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212 = -4.1607
UHX-13.5.6 Step 6
Condition Tube side hydrotest
All load Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0*(113.2500 / 107.6960)2*0.3100 - (1.05157112 - 1) /
New
cases 0
(0*0) - (1 - 0)*[0.00002 - (2*56.6250)2] / (2*0*0*107.69602))*0 =
Load case
New
1 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*69.46 = 385.58
All load
New
cases Pγ = 3408*0.00*0.0000000 / (π*53.84802) = 0
All load
New
cases PW = - 0*0*0.00 / (2*π*53.84802) = 0
Load case
New
1 Prim = - 285.8029100 / 53.84802*(-4.1361599*0 - -4.1607299*69.46) = -28.49
Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3779674 + (1.0515711 - 1)*142.9014550]
New
1 -16.93
)*(0 - 385.5798 + 0 + 0 + -28.4870) =
UHX-13.5.7 Step 7
Condition Tube side hydrotest
New Load case 1 Q2 = ((-4.1361599*0 - -4.1607299*69.46) + 0*0.00 / (2*π)) / (1 + 4.6073786*0.1012678) = 197.0673
New Load case 1 Q3 = 0.0193782 + 2*197.0673 / (-16.9322*53.84802) = 0.0113504
Stress Allowable Over-
Tubesheet Bending Stress (psi) (psi) stressed?
New Load case 1 σ = (1.5*0.0203595 / 0.3118615)*(2*53.8480 / (1.5000 - 0.0000))2*-16.9322 = -8,547 40,500 No
UHX-13.5.8 Step 8
Condition Tube side hydrotest
Stress Allowable Over-
Tubesheet Shear Stress (psi) (psi) stressed?
New Load case 1 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-16.9322 = -1,239 24,000 No
UHX-13.5.9 Step 9
Condition Tube side hydrotest
Load case
New Fq = (0.0005079 + 0.0113504*0.0050249)*14.22132354 / 2 = 11.5530
1
2/10/2007 10:33:19 AM 360/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-361-320.jpg)
![Stress Allowable Over-
Tube Evaluation (psi) (psi) stressed?
Load case σt,o = ((0*0.5408861 - 69.46*0.6100532) - -16.9322*11.5529795) / (0.6100532 -
New
1 2,216 26,471 No
0.5408861) =
UHX-13.5.10 Step 10
σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts))
σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σs = ABS(σs,m) + ABS(σs,b)
σc,m = ac2 / (tc*(2*ac + tc))*Pt
σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σc = ABS(σc,m) + ABS(σc,b)
Condition Tube side hydrotest
Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in
Stress 1.5*Ss SPS,s Over-
Shell Evaluation (psi) (psi) (psi) stressed?
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-16.9322 + (1.05157112 - 1)*(0 - 3,575
Load 69.46)) + 56.62502*69.46 / (0.3750*(2*56.6250 + 0.3750)) =
New case 33,750 50,100 No
1 σs,b = 6*76,503.5234 / 0.37502*(0.2780179*(2.553027E-04*0 - 0.3100*56.6250*3,575/ 28.3E+06) + 6*(1 - 0.3003135 ) /
2
9,543,956*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-16.9322*(0.0050249 + 0.1012678*0.0193782) + -12,925
2*0.1012678*197.0673 / 53.84802)) =
σs = ABS(3,575) + ABS(-12,925) = 16,500
UHX-13.5.10 Step 10
Minimum channel length = 1.8*(Dc*tc)0.5 = 11.7302 in where thickness tc = 0.3750 in
Condition Tube side hydrotest
Stress 1.5*Sc SPS,c Over-
Channel Evaluation (psi) (psi) (psi) stressed?
Load σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*69.46 = 5,227
New case 33,750 50,100 No
1 σc,b = 6*76,118.5781 / 0.37502*(0.2784858*2.568134E-04*69.46 - 6*(1 - 0.30031352) / 9,543,956*(53.84803 / 1.50003)*(1
2
26,995
+ 1.5000*0.2784858 / 2)*(-16.9322*(0.0050249 + 0.1012678*0.0193782) + 2*0.1012678*197.0673 / 53.8480 )) =
σc = ABS(5,227) + ABS(26,995) = 32,222
Calculations for Shell side hydrotest Condition
UHX-13.5.1 Step 1
Condition Shell side hydrotest
New Do = 2*53.2230 + 1.2500 = 107.6960
New µ = (1.6563 - 1.2500) /1.6563 = 0.2453
*
d = MAX{[1.2500 - 2*0.0490*(28.3E+06 / 28.3E+06)*(26,471 / 30,000)*0.8500],
New Load case 2 1.1765000
[1.2500 - 2*0.0490]} =
New p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097
2/10/2007 10:33:19 AM 361/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-362-320.jpg)
![New Load case 2 µ* = (1.7096848 - 1.1765000)/1.7096848 = 0.311861
hg' = 0.0000
New ao = 107.6960 / 2 = 53.8480
New ρs = 56.6250 / 53.8480 = 1.051571
New ρc = 56.6250 / 53.8480 = 1.051571
New xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886
New xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053
UHX-13.5.2 Step 2
Condition Shell side hydrotest
New Load case 2 Ks = π*0.3750*(113.2500 + 0.3750)*28.3E+06 / 272.7500 = 13,889,183.00
New Load case 2 Kt = π*0.0490*(1.2500 - 0.0490)*28.3E+06 / 272.7500 = 19,182.74
New Load case 2 Ks,t = 13,889,183.00 / (3408*19,182.74) = 0.212455
New Load case 2 J = 1 as no expansion joint used
New βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179
New Load case 2 ks = 0.2780179*28.3E+06*0.37503 / (6*(1 - 0.31002)) = 76,503.52
New Load case 2 λs = (6*113.2500 / 1.50003)*76,503.5234*(1 + 1.5000*0.2780179 + 1.50002*0.27801792 / 2) = 23,165,408
New Load case 2 δs = 113.25002 / (4*28.3E+06*0.3750) * (1 - 0.3100 / 2) = 2.5530E-04
New βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858
New Load case 2 kc = 0.2784858*28.3E+06*0.37503 / (6*(1 - 0.30002)) = 76,118.58
New Load case 2 λc = (6*113.2500 / 1.50003)*76,118.5781*(1 + 1.5000*0.2784858 + 1.50002*0.27848582 / 2) = 23,064,090
New Load case 2 δc = 113.25002 / (4*28.3E+06*0.3750) * (1 - 0.3000 / 2) = 2.5681E-04
UHX-13.5.3 Step 3
Condition Shell side hydrotest
New h/p = 1.5000/1.6563 = 0.9056
Load case
New
2 - from Fig. UHX-11.3(a) E*/E = 0.3372
Load case
New
2 E* = 0.3372423*28.3E+06 = 9,543,956
Load case
New
2 - from Fig. UHX-11.3(b) ν* = 0.3003
Load case Xa = [24*(1 - 0.30031352)*3408*28.3E+06*0.0490*(1.2500 - 0.0490)*53.84802 /
New
2 14.2213
(9,543,956*272.7500*1.50003)]0.25 =
Load case
New
2 Zd = 0.0005079
Load case
New
2 Zv = 0.0050249
New Zm = 0.1012678
2/10/2007 10:33:19 AM 362/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-363-320.jpg)
![Load case
2
UHX-13.5.4 Step 4
Condition Shell side hydrotest
New K = 116.0000 / 107.6960 = 1.0771059
New Load case 2 F = ((1 - 0.3003135) / 9,543,956)*(23,165,408.00 + 23,064,090.00 + 28,300,000*ln(1.0771)) = 3.5432828
New Load case 2 Φ = (1 + 0.3003135)*3.5432828 = 4.6073786
New Load case 2 Q1 = (1.0515711 - 1 - 4.6073786*0.0050249) / (1 + 4.6073786*0.1012678) = 0.0193782
New Load case 2 Qz1 = (0.0005079 + 0.0193782*0.0050249)*14.22132354 / 2 = 12.3780
New Load case 2 Qz2 = (0.0050249 + 0.0193782*0.1012678)*14.22132354 / 2 = 142.9015
New Load case 2 U = [0.0050249 + (1.0515711 - 1)*0.1012678]*14.22132354 / (1 +4.6073786*0.1012678) = 285.8029
UHX-13.5.5 Step
5
Condition Shell
side hydrotest
New γb = 0 = 0
UHX-13.5.5 Step 5
Condition Shell side hydrotest
Ps (psi) Pt (psi)
Load Case 2 77.16 0
New All load cases γ= 0.0000
New Load case 2 ωs = 1.0515711*76,503.5234*0.2780179*2.553027E-04*(1 + 1.5000*0.2780179) = 8.0915
New Load case 2 ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362
New Load case 2 ωc = 1.0515711*76,118.5781*0.2784858*2.568134E-04*(1 + 1.5000*0.2784858) = 8.1160
New Load case 2 ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212 = -4.1607
UHX-13.5.6 Step 6
Condition Shell side hydrotest
Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 -
Load
New
case 2 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 273.56
(2*1.0000000*0.2124548*107.69602))*77.16 =
All load
New
cases Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (0*0))*0 = 0
All load
New
cases Pγ = 3408*0.00*0.0000000 / (π*53.84802) = 0
2/10/2007 10:33:19 AM 363/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-364-320.jpg)
![All load
New
cases PW = - 0*0*0.00 / (2*π*53.84802) = 0
Load
New
case 2 Prim = - 285.8029100 / 53.84802*(-4.1361599*77.16 - -4.1607299*0) = 31.46
Load Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3779674 + (1.0515711 - 1)*142.9014550]
New
case 2 12.47
)*(273.5619 - 0 + 0 + 0 + 31.4570) =
UHX-13.5.7 Step 7
Condition Shell side hydrotest
New Load case 2 Q2 = ((-4.1361599*77.16 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6073786*0.1012678) = -217.6127
New Load case 2 Q3 = 0.0193782 + 2*-217.6127 / (12.4729*53.84802) = 0.0073443
Stress Allowable Over-
Tubesheet Bending Stress (psi) (psi) stressed?
New Load case 2 σ = (1.5*0.0190310 / 0.3118615)*(2*53.8480 / (1.5000 - 0.0000))2*12.4729 = 5,885 40,500 No
UHX-13.5.8 Step 8
Condition Shell side hydrotest
Stress Allowable Over-
Tubesheet Shear Stress (psi) (psi) stressed?
New Load case 2 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*12.4729 = 913 24,000 No
UHX-13.5.9 Step 9
Condition Shell side hydrotest
Load case
New Fq = (0.0005079 + 0.0073443*0.0050249)*14.22132354 / 2 = 11.1413
2
Load case
New rt = (1.25000002 + (1.2500000 - 2*0.0490000)2 )0.5 / 4 = 0.4250
2
Load case
New Ft = 87.3000 / 0.4250 = 205.4258
2
Load case
New Ct = (2*π2*28.3E+06 / 25,000)0.5 = 149.4817
2
Load case
New Fs = MAX [(3.25 - 0.5*11.1412770) = -2.3206, 1.25] but not greater than 2.0 = 1.2500
2
Stress Allowable Over-
Tube Evaluation (psi) (psi) stressed?
Load case σt,o = ((77.16*0.5408861 - 0*0.6100532) - 12.4729*11.1412770) / (0.6100532 -
New
2 -1,406 26,471 No
0.5408861) =
Load case
New
2
For Ct <= 205.4258, Stb = Min{π2*28.3E+06 / (1.2500*205.42582) = 5,295, 26,471} = 5,295 No
UHX-13.5.10 Step 10
σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts))
σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σs = ABS(σs,m) + ABS(σs,b)
2/10/2007 10:33:19 AM 364/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-365-320.jpg)
![σc,m = ac2 / (tc*(2*ac + tc))*Pt
σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]}
σc = ABS(σc,m) + ABS(σc,b)
Condition Shell side hydrotest
Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in
Stress 1.5*Ss SPS,s Over-
Shell Evaluation (psi) (psi) (psi) stressed?
σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(12.4729 + (1.05157112 - 1)*(77.16 - 1,404
Load 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) =
New case 33,750 50,100 No
2 σs,b = 6*76,503.5234 / 0.37502*(0.2780179*(2.553027E-04*77.16 - 0.3100*56.6250*1,404/ 28.3E+06) + 6*(1 -
0.30031352) / 9,543,956*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(12.4729*(0.0050249 + 0.1012678*0.0193782) 24,597
+ 2*0.1012678*-217.6127 / 53.84802)) =
σs = ABS(1,404) + ABS(24,597) = 26,001
UHX-13.5.10 Step 10
Minimum channel length = 1.8*(Dc*tc)0.5 = 11.7302 in where thickness tc = 0.3750 in
Condition Shell side hydrotest
Stress 1.5*Sc SPS,c Over-
Channel Evaluation (psi) (psi) (psi) stressed?
Load σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0
New case 33,750 50,100 No
2 σc,b = 6*76,118.5781 / 0.37502*(0.2784858*2.568134E-04*0 - 6*(1 - 0.30031352) / 9,543,956*(53.84803 / 1.50003)*(1 +
2
-7,475
1.5000*0.2784858 / 2)*(12.4729*(0.0050249 + 0.1012678*0.0193782) + 2*0.1012678*-217.6127 / 53.8480 )) =
σc = ABS(0) + ABS(-7,475) = 7,475
Tube-To-Tubesheet Joint Loads
ASME Tube To Tubesheet Joint Loads - Periphery Of Bundle
Wj = σt,o*At
fT = (Po + PT)/Po
Lmax = At*Sa*fe*fr*fy*fT
Condition Design lbf
Load case 1
Wj = 1,595*0.1849 = 294.8338
Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769
Load case 2
Wj = -911*0.1849 = -168.4069
Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769
New or corroded
Load case 3
Wj = 684*0.1849 = 126.4269
Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769
Load case 4
Wj = -3,664*0.1849 = -677.3553
Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538
Load case 5
Wj = -2,076*0.1849 = -383.7772
2/10/2007 10:33:19 AM 365/368](https://image.slidesharecdn.com/vesseldesign-120227013311-phpapp01/85/Vessel-design-366-320.jpg)
Uploaded byDewesh Singh
Vessel design
This document provides information on a falling film evaporator vessel including: - The vessel number, customer, designer, date, location, and purchaser. - A nozzle schedule listing 16 nozzles of various sizes and materials including vapor outlets, condensate outlets, spray nozzles, and vents. - Deficiencies noted for the heat exchanger including baffle thickness being less than the minimum required thickness.
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Vessel design
- 1. Prodigy Engineering GroupLLC 4400A Ambassador Caffery PMB 579 Lafayette, LA 70508 Item: Falling Film Transform Evaporator Vessel No: 235-11-001 Customer: ------------------------- Contract: ------------------------- Designer: Jeffrey Lancon PE Date: -------------------------- Location: -------------------------- Purchaser: --------------------------- Vessel Name: Evaporator.CW6 Service: Tranformer Evaporator Tag Number: ----------------------------
- 2. 2/10/2007 10:33:19 AM 1/368
- 3. 2/10/2007 10:33:19 AM 2/368
- 4. Deficiencies Summary Deficiencies forHeat Exchanger TEMA Table R-4.41, Table CB-4.41: The baffle thickness (0.3750") is less than the minimum baffle thickness (0.7500"). 2/10/2007 10:33:19 AM 3/368
- 5. Nozzle Schedule Materials Nozzle Service Size mark Fine Fine Nozzle Impact Norm Pad Impact Norm Flange Grain Grain SA-312 TP304L Wld SA-516 M1 Bottom Manway 24" X Heavy No No No No No No SO A105 Class 150 pipe 70 SA-312 TP304L Wld SA-516 M2 Calandria Manway 24" Sch 20 (Std) No No No No No No SO A105 Class 150 pipe 70 SA-312 TP304L Wld SO A182 F304L Class N10.1 Spray Nozzle Inlet 3" Sch 40S (Std) No No No N/A N/A N/A N/A pipe 150 SA-312 TP304L Wld WN A182 F304L Class N10.2 Spray Nozzle Inlet 3" Sch 40S (Std) No No No N/A N/A N/A N/A pipe 150 12" Sch 40S SA-312 TP304L Wld SA-516 N11 Vapor By-Pass No No No No No No SO A105 Class 150 (Std) pipe 70 SA-312 TP304L Wld N2.1 Condensate Outlet 8" Sch 80S (XS) No No No N/A N/A N/A N/A WN A105 Class 150 pipe SA-312 TP304L Wld SO A182 F304L Class N2.2 Condensate Nozzle 8" Sch 80S (XS) No No No N/A N/A N/A N/A pipe 150 12" Sch 40S SA-312 TP304L Wld N3 Circulation Juice Inlet No No No N/A N/A N/A N/A SO A105 Class 150 (Std) pipe Circulation Juice SA-312 TP304L Wld N4 14" Sch 30 (Std) No No No N/A N/A N/A N/A SO A105 Class 150 Outlet pipe SA-312 TP304L Wld SA-516 N5.1 Vapor Outlet 20" Sch 20 (Std) No No No No No No SO A105 Class 150 pipe 70 SA-516 N5.2 Vapor Outlet 20" Sch 20 (Std) SA-106 B Smls pipe No No No No No No SO A105 Class 150 70 SA-312 TP304L Wld SO A182 F304L Class N6.1 Air & Gas Vent 4" Sch 80S (XS) No No No N/A N/A N/A N/A pipe 150 SA-312 TP304L Wld SO A182 F304L Class N6.2 Air & Gas Vent 4" Sch 80S (XS) No No No N/A N/A N/A N/A pipe 150 SO A182 F304 Class N6.3 Air & Gas Vent 4" Sch 80 (XS) SA-106 B Smls pipe No No No N/A N/A N/A N/A 150 SA-312 TP304L Wld SO A182 F304L Class N6.4 Air & Gas Vent 3" Sch 40S (Std) No No No N/A N/A N/A N/A pipe 150 SA-312 TP304L Wld SO A182 F304L Class N6.5 Air & Gas Vent 3" Sch 40S (Std) No No No N/A N/A N/A N/A pipe 150 SO A182 F304L Class N6.6 Air & Gas Vent 3.07 IDx0.22 SA-240 304L No No No N/A N/A N/A N/A 150 10" Sch 80S SA-312 TP304L Wld SO A182 F304L Class N7 Juice Outlet No No No N/A N/A N/A N/A (XS) pipe 150 10" Sch 80S SA-312 TP304L Wld N8 Juice Inlet No No No N/A N/A N/A N/A SO A105 Class 150 (XS) pipe SA-312 TP304L Wld SO A182 F304L Class N9.1 Upper Level Sensor 3" Sch 40S (Std) No No No N/A N/A N/A N/A pipe 150 Lower Level SA-249 TP304L Wld SO A182 F304L Class N9.2 3" Sch 40S (Std) No No No N/A N/A N/A N/A Connection tube 150 2/10/2007 10:33:19 AM 4/368
- 6. Nozzle Summary Reinforcement Shell Nozzle OD t Req t Pad Corr A /A n n A1? A2? a r mark (in) (in) (in) (in) (%) Nom t Design t User t Width t pad (in) (in) (in) (in) (in) M1 24.00 0.5000 0.3088 Yes Yes 0.3750 0.3609 4.2500 0.5000 0.0000 100.0 M2 24.00 0.3750 0.2691 Yes Yes 0.3750 0.3140 3.0000 0.3750 0.0000 100.0 N10.1 3.50 0.2160 0.2160 Yes Yes 0.3750 N/A N/A N/A 0.0000 Exempt N10.2 3.50 0.2160 0.2160 Yes Yes 0.3750 N/A N/A N/A 0.0000 Exempt N11 12.75 0.3750 0.2807 Yes Yes 0.3750 0.3272 2.0000 0.2500 0.0000 100.0 N2.1 8.63 0.5000 0.2219 Yes Yes 0.3750 0.3131 N/A N/A 0.0000 100.0 N2.2 8.63 0.5000 0.2219 Yes Yes 0.3750 0.3131 N/A N/A 0.0000 100.0 N3 12.75 0.3750 0.3087 Yes Yes 0.3750* 0.3249 N/A N/A 0.0000 100.0 N4 14.00 0.3750 0.3058 Yes Yes 0.4375* 0.3207 N/A N/A 0.0000 100.0 N5.1 20.00 0.3750 0.3097 Yes Yes 0.3750 0.3617 3.5000 0.3750 0.0000 100.0 N5.2 20.00 0.3750 0.3181 Yes Yes 0.3750 0.3707 3.5000 0.3750 0.0000 100.0 N6.1 4.50 0.3370 0.2370 Yes Yes 0.3750 0.3416 N/A N/A 0.0000 100.0 N6.2 4.50 0.3370 0.2370 Yes Yes 0.3750 0.3416 N/A N/A 0.0000 100.0 N6.3 4.50 0.3370 0.2370 Yes Yes 0.3750 0.3620 N/A N/A 0.0000 100.0 N6.4 3.50 0.2160 0.2160 Yes Yes 0.3750 N/A N/A N/A 0.0000 Exempt N6.5 3.50 0.2160 0.2160 Yes Yes 0.3750 N/A N/A N/A 0.0000 Exempt N6.6 3.50 0.2160 0.1890 Yes Yes 0.3750 N/A N/A N/A 0.0000 Exempt N7 10.75 0.5000 0.3378 Yes Yes 0.4375* 0.3550 N/A N/A 0.0000 100.0 N8 10.75 0.5000 0.3161 Yes Yes 0.3750 0.3693 N/A N/A 0.0000 100.0 N9.1 3.50 0.2160 0.2160 Yes Yes 0.3750 N/A N/A N/A 0.0000 Exempt N9.2 3.50 0.2160 0.1288 Yes Yes 0.3750 N/A N/A N/A 0.0000 Exempt tn: Nozzle thickness Req tn: Nozzle thickness required per UG-45/UG-16 Nom t: Vessel wall thickness Design t: Required vessel wall thickness due to pressure + corrosion allowance per UG-37 User t: Local vessel wall thickness (near opening) Aa: Area available per UG-37, governing condition Ar: Area required per UG-37, governing condition Corr: Corrosion allowance on nozzle wall * Head minimum thickness after forming 2/10/2007 10:33:19 AM 5/368
- 7. Pressure Summary Pressure Summaryfor Tube side chamber Total P T T MAWP MAP MAEP e MDMT MDMT Corrosion Impact Identifier Design Design external ( psi) ( psi) ( psi) (°F) Exemption Allowance Test ( psi) (°F) (°F) (in) Front Head 50.0 325.0 109.03 110.52 19.12 325.0 -320.0 Note 1 0.000 No Straight Flange on Front Head 50.0 325.0 108.67 110.16 25.14 325.0 -320.0 Note 2 0.000 No Front Channel 50.0 325.0 108.67 110.16 25.14 325.0 -320.0 Note 2 0.000 No (see Maximum Pressure Tubesheet 65.0 325.0 106.53 108.00 102.29 325.0 -320.0 Note 2 0.000 No Rating note) (see Maximum Pressure Rear Tubesheet 65.0 325.0 106.53 108.00 102.29 325.0 -320.0 Note 2 0.000 No Rating note) Rear Channel 50.0 325.0 73.49 77.11 17.48 325.0 -320.0 Note 2 0.000 No Straight Flange on Rear Channel Head 50.0 325.0 142.07 146.68 30.71 325.0 -320.0 Note 2 0.000 No Rear Channel Head 50.0 325.0 123.43 128.93 23.62 325.0 -320.0 Note 3 0.000 No Tubes 65.0 325.0 987.50 1001.60 336.64 325.0 -320.0 Note 4 0.000 No Bottom Channel Section Stiffener N/A N/A N/A N/A 15.00 325.0 N/A N/A 0.125 No Vessel Support Lugs 50.0 325.0 50.00 N/A N/A N/A N/A N/A N/A N/A Nozzle Note 2; Pad note Bottom Manway (M1) 50.0 325.0 77.10 79.45 16.11 325.0 -55.0 0.000 No 5 Spray Nozzle Inlet (N10.1) 50.0 325.0 107.77 110.12 17.48 325.0 -55.0 Note 6 0.000 No Spray Nozzle Inlet (N10.2) 50.0 325.0 107.77 110.12 17.48 325.0 -55.0 Note 6 0.000 No Circulation Juice Inlet (N3) 50.0 325.0 78.54 79.61 15.69 325.0 -55.0 Note 7 0.000 No Circulation Juice Outlet (N4) 50.0 325.0 73.61 78.85 15.41 325.0 -55.0 Note 8 0.000 No Nozzle Note 9; Pad note Vapor Outlet (N5.1) 50.0 325.0 78.62 79.68 16.19 325.0 -55.0 0.000 No 10 Nozzle Note 11; Pad Vapor Outlet (N5.2) 50.0 325.0 80.74 81.81 17.06 325.0 -55.0 0.000 No note 10 Juice Outlet (N7) 50.0 325.0 81.73 87.12 17.73 325.0 -55.0 Note 6 0.000 No Juice Inlet (N8) 50.0 325.0 78.09 81.35 16.93 325.0 -55.0 Note 12 0.000 No Upper Level Sensor (N9.1) 50.0 325.0 107.77 110.12 17.48 325.0 -55.0 Note 6 0.000 No Lower Level Connection (N9.2) 50.0 325.0 167.44 230.00 15.41 325.0 -55.0 Note 6 0.000 No Chamber design MDMT is 20.00°F Chamber rated MDMT is -55.00°F @ 50.00 psi Chamber MAWP was used in the MDMT determination Chamber MAWP hot & corroded is 50.00 psi @ 325.0°F Chamber MAP cold & new is 77.11 psi @ 70.0°F Chamber MAEP is 15.00 psi @ 325.0°F External pressure rating was governed by the vacuum ring Bottom Channel Section Stiffener. Pressure Summary for Shell side chamber Total P T T MAWP MAP MAEP e MDMT MDMT Corrosion Impact Identifier Design Design external ( psi) ( psi) ( psi) (°F) Exemption Allowance Test ( psi) (°F) (°F) (in) (see Maximum Pressure Tubesheet 65.0 325.0 102.29 148.67 106.53 325.0 -320.0 Note 2 0.000 No Rating note) 2/10/2007 10:33:19 AM 6/368
- 8. Shell 50.0 325.0 75.57 77.11 21.74 325.0 -320.0 Note 2 0.000 No (see Maximum Pressure Rear Tubesheet 65.0 325.0 102.29 148.67 106.53 325.0 -320.0 Note 2 0.000 No Rating note) Tubes 65.0 325.0 336.64 336.64 987.50 325.0 N/A N/A 0.000 No Top Plate of Expanded Chamber N/A N/A N/A N/A 15.00 325.0 N/A N/A 0.000 No Bottom Plate of Expanded Chamber N/A N/A N/A N/A 15.00 325.0 N/A N/A 0.000 No Lower Calandria Stiffener RIngs N/A N/A N/A N/A 15.00 325.0 N/A N/A 0.125 No Upper Calandria Stiffener Ring N/A N/A N/A N/A 15.00 325.0 N/A N/A 0.125 No Nozzle Note 13; Pad Calandria Manway (M2) 50.0 325.0 68.29 69.28 15.43 325.0 -55.0 0.000 No note 14 Nozzle Note 2; Pad note Vapor By-Pass (N11) 50.0 325.0 71.26 72.24 17.15 325.0 -55.0 0.000 No 15 Condensate Outlet (N2.1) 50.0 325.0 55.92 57.14 15.30 325.0 -55.0 Note 16 0.000 No Condensate Nozzle (N2.2) 50.0 325.0 55.92 57.14 15.30 325.0 -55.0 Note 6 0.000 No Air & Gas Vent (N6.1) 50.0 325.0 74.14 75.43 18.98 325.0 -55.0 Note 6 0.000 No Air & Gas Vent (N6.2) 50.0 325.0 74.14 75.43 18.98 325.0 -55.0 Note 6 0.000 No Air & Gas Vent (N6.3) 50.0 325.0 79.38 80.67 20.67 325.0 -55.0 Note 6 0.000 No Air & Gas Vent (N6.4) 50.0 325.0 108.60 110.12 21.74 325.0 -55.0 Note 6 0.000 No Air & Gas Vent (N6.5) 50.0 325.0 108.60 110.12 21.74 325.0 -55.0 Note 6 0.000 No Air & Gas Vent (N6.6) 50.0 325.0 108.60 110.12 21.74 325.0 -55.0 Note 6 0.000 No Chamber design MDMT is 20.00°F Chamber rated MDMT is -55.00°F @ 55.92 psi Chamber MAWP was used in the MDMT determination Chamber MAWP hot & corroded is 55.92 psi @ 325.0°F Chamber MAP cold & new is 57.14 psi @ 70.0°F Chamber MAEP is 15.00 psi @ 325.0°F External pressure rating was governed by the vacuum ring Top Plate of Expanded Chamber. Notes for Maximum Pressure Rating: Note Details # The largest tubesheet MAWP/MAP values have been selected from the multiple design conditions to maximize the hydrotest pressure and to comply with UG-20(b). The 1. MAWP/MAP selected for the shell side may not be coincident with the MAWP/MAP selected for the tube side (and vice versa). The chamber MAWP listed above is based on the largest tubesheet MAWP values from the multiple design conditions. The lowest tubesheet MAWP values should be 2. considered when determining the final chamber MAWP. Refer to the Tubesheet Maximum Pressure Report for the lowest tubesheet maximum pressure ratings. Notes for MDMT Rating: Note # Exemption Details 1. Straight Flange governs MDMT 2. Rated MDMT per UHA-51(d)(1)(a) = -320 °F 3. Straight Flange governs MDMT 4. Impact test exempt per UHA-51(d) Pad impact test exemption temperature from Fig UCS-66 Curve B = -7 °F 5. Fig UCS-66.1 MDMT reduction = 70.2 °F, (coincident ratio = 0.46461) UCS-66 governing thickness = 0.5 in. Rated MDMT is governed by UCS-66(b)(2) Flange rating governs: 6. Flange rated MDMT = -320 °F Per UHA-51(d)(1)(a) Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F Flange rating governs: 7. Flange rated MDMT = -155 °F UCS-66(b)(3): Coincident ratio = 0.1754386 Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F 2/10/2007 10:33:19 AM 7/368
- 9. Flange rating governs: 8. Flange rated MDMT = -155 °F UCS-66(b)(3): Coincident ratio = 0.1902407 Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F 9. Impact test exempt per UHA-51(g)(coincident ratio = 0.10351) Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 °F 10. Fig UCS-66.1 MDMT reduction = 75.8 °F, (coincident ratio = 0.45291) UCS-66 governing thickness = 0.375 in. Rated MDMT is governed by UCS-66(b)(2) 11. Nozzle is impact test exempt to -155 °F per UCS-66(b)(3) (coincident ratio = 0.08592). Flange rating governs: 12. Flange rated MDMT = -155 °F UCS-66(b)(3): Coincident ratio = 0.1822653 Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F 13. Impact test exempt per UHA-51(g)(coincident ratio = 0.13985) Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 °F 14. Fig UCS-66.1 MDMT reduction = 58 °F, (coincident ratio = 0.50664) UCS-66 governing thickness = 0.375 in. Rated MDMT is governed by UCS-66(b)(2) Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 °F 15. Fig UCS-66.1 MDMT reduction = 58 °F, (coincident ratio = 0.50664) UCS-66 governing thickness = 0.25 in. Rated MDMT is governed by UCS-66(b)(2) Flange rating governs: 16. Flange rated MDMT = -155 °F UCS-66(b)(3): Coincident ratio = 0.1973546 Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F Design notes are available on the Settings Summary page. 2/10/2007 10:33:19 AM 8/368
- 10. Revision History No. Date Operator Notes 0 1/ 9/2007 Prodigy New vessel created Heat Exchanger. [Build 6252] 2/10/2007 10:33:19 AM 9/368
- 11. Settings Summary COMPRESS Build 6252 Units: U.S. Customary Datum Line Location: 0.00" from bottom seam Design ASME Section VIII Division 1, 2004 Edition, A06 Addenda Design or Rating: Get Thickness from Pressure Minimum thickness: 1/16" per UG-16(b) Design for cold shut down only: No Design for lethal service (full radiography required): No Design P, find nozzle MAWP and Design nozzles for: MAP Corrosion weight loss: 100% of theoretical loss UG-23 Stress Increase: 1.20 Skirt/legs stress increase: 1.0 Minimum nozzle projection: 6.0000" Juncture calculations for α > 30 only: Yes Preheat P-No 1 Materials > 1.25" and <= 1.50" thick: No Butt welds are tapered per Figure UCS-66.3(a). Hydro/Pneumatic Test 1.3 times vessel Shop Hydrotest Pressure: MAWP Test liquid specific gravity: 1.00 Maximum stress during test: 90% of yield Required Marking - UG-116 Shell Side UG-116 (e) Radiography: None UG-116 (f) Postweld heat treatment: None Tube Side UG-116 (e) Radiography: RT4 UG-116 (f) Postweld heat treatment: None Code Interpretations Use Code Case 2547: No Apply interpretation VIII-1-83-66: Yes Apply interpretation VIII-1-86-175: Yes Apply interpretation VIII-1-83-115: Yes Apply interpretation VIII-1-01-37: Yes Disallow UG-20(f) exemptions: No UG-22 Loadings UG-22 (a) Internal or External Design Pressure : Yes UG-22 (b) Weight of the vessel and normal contents under operating or test conditions: Yes UG-22 (c) Superimposed static reactions from weight of attached equipment (external loads): No 2/10/2007 10:33:19 AM 10/368
- 12. UG-22 (d)(2) Vesselsupports such as lugs, rings, skirts, saddles and legs: Yes UG-22 (f) Wind reactions: Yes UG-22 (f) Seismic reactions: Yes Note: UG-22 (b),(c) and (f) loads only considered when supports are present. 2/10/2007 10:33:19 AM 11/368
- 13. Thickness Summary Component Material Diameter Length Nominal t Design t Joint Load Identifier (in) (in) (in) (in) E Front Head SA-240 304L 113.25 ID 28.69 0.3750* 0.3144 1.0000 External Straight Flange on Front Head SA-240 304L 113.25 ID 1.50 0.3750 0.2617 1.0000 External Front Channel SA-240 304L 113.25 ID 33.00 0.3750 0.2617 1.0000 External Tubesheet SA-240 304 116.00 OD 1.50 1.5000 0.2898 1.0000 Unknown Tubes SA-249 TP316L Wld tube 1.2500 OD 275.75 0.0490 0.0184 1.0000 External Shell SA-240 304L 113.25 ID 272.75 0.3750 0.3108 0.7000 External Rear Tubesheet SA-240 304 116.00 OD 1.50 1.5000 0.2898 1.0000 Unknown Rear Channel SA-240 304L 113.25 ID 139.00 0.3750 0.3496 0.7000 External Straight Flange on Rear Channel Head SA-240 304L 113.25 ID 1.50 0.5000 0.3500 1.0000 External Rear Channel Head SA-240 304L 113.25 ID 28.75 0.4375* 0.3144 1.0000 External Nominal t: Vessel wall nominal thickness Design t: Required vessel thickness due to governing loading + corrosion Joint E: Longitudinal seam joint efficiency * Head minimum thickness after forming Load internal: Circumferential stress due to internal pressure governs external: External pressure governs Wind: Combined longitudinal stress of pressure + weight + wind governs Seismic: Combined longitudinal stress of pressure + weight + seismic governs 2/10/2007 10:33:19 AM 12/368
- 14. Weight Summary Weight ( lb) Contributed by Vessel Elements Component Metal Metal Insulation & Piping Operating Test Lining New* Corroded* Supports + Liquid Liquid Liquid Front Head 1,664.35 1,664.35 0.00 0.00 0.00 0.00 7,431.57 Front Channel 1,281.05 1,281.05 0.00 0.00 0.00 0.00 11,999.21 Tubesheet 2,777.94 2,777.94 0.00 0.00 0.00 0.00 0.00 Shell 10,503.98 10,503.98 0.00 0.00 0.00 3,014.62 58,231.25 Tubes 50,385.12 50,385.12 0.00 0.00 0.00 0.00 35,357.55 Rear Tubesheet 2,777.94 2,777.94 0.00 0.00 0.00 0.00 0.00 Rear Channel 5,265.41 5,265.41 0.00 0.00 0.00 26,191.04 50,919.58 Rear Channel Head 1,939.29 1,939.29 0.00 0.00 0.00 8,254.39 7,508.44 Vessel Support Lugs 2,041.70 2,041.70 0.00 0.00 0.00 0.00 0.00 TOTAL: 78,636.78 78,636.78 0.00 0.00 0.00 37,460.04 171,447.58 * Shells with attached nozzles have weight reduced by material cut out for opening. Weight ( lb) Contributed by Attachments Component Nozzles & Body Flanges Flanges Packed Ladders & Trays & Rings & Vertical Beds Platforms Supports Clips Loads New Corroded New Corroded Front Head 0.00 0.00 94.36 94.36 0.00 0.00 0.00 0.00 0.00 Front Channel 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Tubesheet 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Shell 0.00 0.00 1,183.83 1,183.83 0.00 0.00 1,492.61¹ 1,613.45 0.00 Rear Tubesheet 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Rear Channel 0.00 0.00 1,554.12 1,554.12 0.00 0.00 0.00 396.75 0.00 Rear Channel Head 0.00 0.00 275.86 275.86 0.00 0.00 0.00 0.00 0.00 TOTAL: 0.00 0.00 3,108.17 3,108.17 0.00 0.00 1,492.61 2,010.20 0.00 Vessel operating weight, Corroded: 122,708 lb Vessel operating weight, New: 122,708 lb Vessel empty weight, Corroded: 85,248 lb Vessel empty weight, New: 85,248 lb Vessel test weight, New: 256,695 lb Vessel center of gravity location - from datum - lift condition Vessel Lift Weight, New: 85,247 lb Center of Gravity: 252.25" Vessel Capacity Shell side Capacity** (New): 6,956 US gal Shell side Capacity** (Corroded): 6,956 US gal Tube side Capacity** (New): 13,518 US gal Tube side Capacity** (Corroded): 13,518 US gal **The shell and tube capacity does not include volume of nozzle, piping or other attachments. ¹Baffle weights are approximated. 2/10/2007 10:33:19 AM 13/368
- 15. Hydrostatic Test Shop testpressure determination for Tube side chamber based on MAWP per UG-99(b) Shop hydrostatic test gauge pressure is 65.000 psi at 70.00 °F (the chamber MAWP = 50.000 psi) The shop test is performed with the vessel in the horizontal position. Local test Test liquid UG-99 UG-99 Stress Allowable Stress Identifier pressure static head stress pressure during test test stress excessive? psi psi ratio factor psi psi Front Head 69.463 4.463 1.0137 1.30 9,440 22,500 No Straight Flange on Front Head 69.463 4.463 1.0137 1.30 10,524 22,500 No Front Channel 69.463 4.463 1.0137 1.30 10,524 22,500 No Rear Channel 69.463 4.463 1.0137 1.30 10,524 22,500 No Straight Flange on Rear Channel Head 69.463 4.463 1.0137 1.30 7,901 22,500 No Rear Channel Head 69.463 4.463 1.0137 1.30 8,091 22,500 No Tubes 69.362 4.362 1.0143 1.30 966 22,500 No Tubesheet 69.463 4.463 1.0667 1.30 See tubesheet report Rear Tubesheet 69.463 4.463 1.0667 1.30 See tubesheet report Bottom Manway (M1) 66.109 1.109 1.0000 1.30 15,354 33,750 No Circulation Juice Inlet (N3) 67.635 2.635 1.0143 1.30 14,179 33,750 No Circulation Juice Outlet (N4) 68.578 3.578 1.0143 1.30 16,051 33,750 No Juice Inlet (N8) 69.837 4.837 1.0143 1.30 14,756 33,750 No Juice Outlet (N7) 67.595 2.595 1.0143 1.30 12,090 33,750 No Lower Level Connection (N9.2) 68.953 3.953 1.0143 1.30 2,433 33,750 No Spray Nozzle Inlet (N10.1) 67.474 2.474 1.0143 1.30 16,791 33,750 No Spray Nozzle Inlet (N10.2) 67.474 2.474 1.0143 1.30 16,791 33,750 No Upper Level Sensor (N9.1) 65.361 0.361 1.0143 1.30 16,265 33,750 No Vapor Outlet (N5.1) (2) 66.209 1.209 1.0000 1.30 15,363 33,750 No Vapor Outlet (N5.2) 69.374 4.374 1.0000 1.30 16,098 47,250 No Notes: (1) PL stresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages 77-82. (2) Vapor Outlet (N5.1) limits the UG-99 stress ratio. (3) VIII-2, AD-151.1(b) used as the basis for nozzle allowable test stress. (4) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange. The field test condition has not been investigated for the Tube side chamber. The test temperature of 70.00 °F is warmer than the minimum recommended temperature of -25.00 °F so the brittle fracture provision of UG-99(h) has been met. Shop test pressure determination for Shell side chamber based on MAWP per UG-99(b) Shop hydrostatic test gauge pressure is 72.698 psi at 70.00 °F (the chamber MAWP = 55.921 psi) The shop test is performed with the vessel in the horizontal position. Identifier Local test Test liquid UG-99 UG-99 Stress Allowable Stress pressure static head stress pressure during test test stress excessive? 2/10/2007 10:33:19 AM 14/368
- 16. psi psi ratio factor psi psi Shell 77.160 4.463 1.0137 1.30 11,690 22,500 No Tubes 77.060 4.362 N/A 1.30 NI NI NI Tubesheet 77.160 4.463 1.0667 1.30 See tubesheet report Rear Tubesheet 77.160 4.463 1.0667 1.30 See tubesheet report Air & Gas Vent (N6.1) 74.147 1.450 1.0143 1.30 16,920 33,750 No Air & Gas Vent (N6.2) 77.137 4.439 1.0143 1.30 17,602 33,750 No Air & Gas Vent (N6.3) (3) 74.147 1.450 1.0000 1.30 16,920 33,750 No Air & Gas Vent (N6.4) 74.135 1.438 1.0143 1.30 18,448 33,750 No Air & Gas Vent (N6.5) 77.535 4.837 1.0143 1.30 19,294 33,750 No Air & Gas Vent (N6.6) 74.135 1.438 1.0137 1.30 18,448 33,750 No Calandria Manway (M2) 73.810 1.112 1.0000 1.30 26,572 30,462 No Condensate Nozzle (N2.2) 77.535 4.837 1.0143 1.30 17,818 33,750 No Condensate Outlet (N2.1) 73.059 0.361 1.0143 1.30 16,789 33,750 No Vapor By-Pass (N11) 77.535 4.837 1.0000 1.30 21,150 33,750 No Notes: (1) NI indicates that test stress was not investigated. (2) PL stresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages 77-82. (3) Air & Gas Vent (N6.3) limits the UG-99 stress ratio. (4) VIII-2, AD-151.1(b) used as the basis for nozzle allowable test stress. (5) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange. The field test condition has not been investigated for the Shell side chamber. The test temperature of 70.00 °F is warmer than the minimum recommended temperature of -25.00 °F so the brittle fracture provision of UG-99(h) has been met. 2/10/2007 10:33:19 AM 15/368
- 17. Vacuum Summary Elevation Length Component Line of Support above Datum Le (in) (in) Front Head - 477.94 N/A - 1/3 depth of Front Head 458.69 N/A Straight Flange on Front Head Top - 449.25 44.69 Straight Flange on Front Head Bottom - 447.75 44.69 Front Channel Top - 447.75 44.69 Front Channel Bottom - 414.75 44.69 Tubesheet - 414.75 N/A Shell Top - 413.25 71.88 - Top Plate of Expanded Chamber 397.38 31.81 - Bottom Plate of Expanded Chamber 350.38 59.44 - Upper Calandria Stiffener Ring 278.50 70.44 - Lower Calandria Stiffener RIngs 209.50 69.38 Shell Bottom - 140.50 71.88 Rear Tubesheet - 139.00 N/A Rear Channel Top - 139.00 94.94 - Bottom Channel Section Stiffener 84.00 75.34 Rear Channel Bottom - 0.00 94.94 Straight Flange on Rear Channel Head Top - 0.00 94.94 Straight Flange on Rear Channel Head Bottom - -1.50 94.94 - 1/3 depth of Rear Channel Head -10.94 N/A Rear Channel Head - -30.25 N/A Notes For main components, the listed value of 'Le' is the largest unsupported length for the component. For Rings, the listed value of 'Le' is Ls per UG-29. 2/10/2007 10:33:19 AM 16/368
- 18. Engineering Notes Note: Due torestriction within the Compress Program, certain items of the Falling Film Evaporator have to be modeled separately and/or calculations done by hand. Top Body Flange Expanded Steam Chamber Top/Bottom Plates of Expanded Steam Chamber 2/10/2007 10:33:19 AM 17/368
- 19. Front Channel ASME SectionVIII Division 1, 2004 Edition, A06 Addenda Component: Cylinder Material specification: SA-240 304L (II-D p. 78, ln. 29) Rated MDMT per UHA-51(d)(1)(a) = -320 °F Internal design pressure: P = 50 psi @ 325°F External design pressure: Pe = 15 psi @ 325°F Static liquid head: Ps = 0.0000 psi (SG=1.1000, Hs=0.0000" Operating head) Pth = 4.4625 psi (SG=1.0000, Hs=123.6250", Horizontal test head) Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000" Design MDMT = 20.00°F No impact test performed Rated MDMT = -320.00°F Material is not normalized Material is not produced to Fine Grain Practice PWHT is not performed Radiography: Longitudinal joint - Full UW-11(a) Type 1 Top circumferential joint - Spot UW-11(a)(5)b Type 1 Bottom circumferential joint - Full UW-11(a) Type 1 Estimated weight: New = 1281.0526 lb corr = 1281.0526 lb Capacity: New = 1439.0248 gal corr = 1439.0248 gal ID = 113.2500" Length Lc = 33.0000" t = 0.3750" Design thickness, (at 325.00°F) UG-27(c)(1) t = P*R/(S*E - 0.60*P) + Corrosion = 50.00*56.6250/(16475*1.00 - 0.60*50.00) + 0.0000 = 0.1722" Maximum allowable working pressure, (at 325.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) - Ps = 16475*1.00*0.3750 / (56.6250 + 0.60*0.3750) - 0.0000 = 108.6741 psi Maximum allowable pressure, (at 70.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) = 16700*1.00*0.3750 / (56.6250 + 0.60*0.3750) = 110.1583 psi External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 44.6875/114.0000 = 0.3920 Do/t = 114.0000/0.261721 = 435.5780 From table G: A = 0.000393 From table HA-3: B = 4900.2603 psi Pa = 4*B/(3*(Do/t)) = 4*4900.2603/(3*(114.0000/0.261721)) = 15.0000 psi 2/10/2007 10:33:19 AM 18/368
- 20. Design thickness forexternal pressure Pa = 15.0000 psi = t + Corrosion = 0.261721 + 0.0000 = 0.2617" Maximum Allowable External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 44.6875/114.0000 = 0.3920 Do/t = 114.0000/0.3750 = 304.0000 From table G: A = 0.000671 From table HA-3: B = 5731.3779 psi Pa = 4*B/(3*(Do/t)) = 4*5731.3779/(3*(114.0000/0.3750)) = 25.1376 psi % Forming Strain - UHA-44(a)(2)(a) = (50 * t / Rf) * (1 - Rf / Ro) = (50 * 0.3750 / 56.8125) * (1 - 56.8125 / ∞) = 0.3300 % External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104) Pv = W / (2*π*Rm) + M / (π*Rm2) = 3053.65 / (2*π*56.8125) + 12856.70 / (π*56.81252) = 9.8224 lb/in α = Pv / (Pe*Do) = 9.822423 / (15.0000*114.0000) = 0.0057 n = 10 m = 1.23 / (L/Do)2 = 1.23 / (44.687500/114.0000)2 = 8.0047 Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (102 - 1 + 8.004657 + 8.004657*0.005744) / (102 - 1 + 8.004657) = 1.0004 Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory. External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104) Pv = (1 + 0.14*SDS)*W / (2*π*Rm) + M / (π*Rm2) = 1.0933*3053.65 / (2*π*56.8125) + 52096.57 / (π*56.81252) = 14.4907 lb/in α = Pv / (Pe*Do) = 14.490655 / (15.0000*114.0000) = 0.0085 n = 10 m = 1.23 / (L/Do)2 = 1.23 / (44.687500/114.0000)2 = 8.0047 Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (102 - 1 + 8.004657 + 8.004657*0.008474) / (102 - 1 + 8.004657) 2/10/2007 10:33:19 AM 19/368
- 21. = 1.0006 Ratio Pe* Pe ≤ MAEP design cylinder thickness is satisfactory. Design thickness = 0.2617" The governing condition is due to external pressure. The cylinder thickness of 0.3750" is adequate. Thickness Required Due to Pressure + External Loads Allowable Stress Before UG-23 Pressure P ( Temperature Corrosion C Req'd Thk Due to Req'd Thk Due to Condition Stress Increase ( Load psi) (°F) (in) Tension (in) Compression (in) psi) St Sc Wind 0.0714 0.0711 Operating, Hot & Corroded 50.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0716 0.0708 Wind 0.0714 0.0711 Operating, Hot & New 50.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0716 0.0708 Wind 0.0005 0.0014 Hot Shut Down, Corroded 0.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0000 0.0020 Wind 0.0005 0.0014 Hot Shut Down, New 0.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0000 0.0020 Wind 0.0004 0.0010 Empty, Corroded 0.00 16700.00 8301.36 0.00 0.0000 Seismic 0.0000 0.0014 Wind 0.0004 0.0010 Empty, New 0.00 16700.00 8301.36 0.00 0.0000 Seismic 0.0000 0.0014 Wind 0.0600 0.0609 Vacuum -15.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0594 0.0615 Hot Shut Down, Corroded, Weight & 0.00 16475.00 5946.94 325.00 0.0000 Weight 0.0014 0.0014 Eccentric Moments Only Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 5946.9448 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScHC = 5946.9448 psi Allowable Compressive Stress, Hot and New- ScHN ScHN = ScHC = 5946.9448 psi Allowable Compressive Stress, Cold and New- ScCN, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 8301.3643 psi S = 16700.0000 / 1.0000 2/10/2007 10:33:19 AM 20/368
- 22. = 16700.0000 psi ScCN = 8301.3643 psi Allowable Compressive Stress, Cold and Corroded- ScCC ScCC = ScCN = 8301.3643 psi Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 5946.9448 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScVC = 5946.9448 psi Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 12857/(π*56.81252*16475*1.2000*1.00) = 0.0001" tw = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0003" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.000064 - (0.000260) = 0.0714" twc = W/(2*π*Rm*St*Ks*Ec) (Weight) = 3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0004" (total, net tc = |tmc + twc - tpc| tensile) = |0.000064 + (0.000433) - (0.071569)| = 0.0711" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.000064+(0.000433)) / (56.6250 - 0.40*(0.3750-0.000064+(0.000433))) = 262.81 psi Operating, Hot & New, Wind, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" 2/10/2007 10:33:19 AM 21/368
- 23. tm = M/(π*Rm2*St*Ks*Ec) (bending) = 12857/(π*56.81252*16475*1.2000*1.00) = 0.0001" tw = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0003" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.000064 - (0.000260) = 0.0714" twc = W/(2*π*Rm*St*Ks*Ec) (Weight) = 3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0004" (total, net tc = |tmc + twc - tpc| tensile) = |0.000064 + (0.000433) - (0.071569)| = 0.0711" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.000064+(0.000433)) / (56.6250 - 0.40*(0.3750-0.000064+(0.000433))) = 262.81 psi Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 12857/(π*56.81252*5947*1.2000) = 0.0002" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*3054/(2*π*56.8125*5947*1.2000) = 0.0007" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000178 - (0.000719)| = 0.0005" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 3054/(2*π*56.8125*5947*1.2000) = 0.0012" tc = tmc + twc - tpc (total required, compressive) = 0.000178 + (0.001199) - (0.000000) = 0.0014" Hot Shut Down, New, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 12857/(π*56.81252*5947*1.2000) = 0.0002" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) 2/10/2007 10:33:19 AM 22/368
- 24. = 0.6000*3054/(2*π*56.8125*5947*1.2000) = 0.0007" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000178 - (0.000719)| = 0.0005" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 3054/(2*π*56.8125*5947*1.2000) = 0.0012" tc = tmc + twc - tpc (total required, compressive) = 0.000178 + (0.001199) - (0.000000) = 0.0014" Empty, Corroded, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 12857/(π*56.81252*8301*1.2000) = 0.0001" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*3054/(2*π*56.8125*8301*1.2000) = 0.0005" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000127 - (0.000515)| = 0.0004" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 3054/(2*π*56.8125*8301*1.2000) = 0.0009" tc = tmc + twc - tpc (total required, compressive) = 0.000127 + (0.000859) - (0.000000) = 0.0010" Empty, New, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 12857/(π*56.81252*8301*1.2000) = 0.0001" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*3054/(2*π*56.8125*8301*1.2000) = 0.0005" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000127 - (0.000515)| = 0.0004" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 3054/(2*π*56.8125*8301*1.2000) = 0.0009" tc = tmc + twc - tpc (total required, compressive) = 0.000127 + (0.000859) - (0.000000) = 0.0010" 2/10/2007 10:33:19 AM 23/368
- 25. Vacuum, Wind, BottomSeam tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 12857/(π*56.81252*5947*1.2000) = 0.0002" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*3054/(2*π*56.8125*5947*1.2000) = 0.0007" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.000178 - (0.000719)| = 0.0600" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 3054/(2*π*56.8125*5947*1.2000) = 0.0012" tc = tmc + twc - tpc (total required, compressive) = 0.000178 + (0.001199) - (-0.059486) = 0.0609" Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 0/(π*56.81252*5947*1.0000) = 0.0000" tw = W/(2*π*Rm*Sc*Ks) (Weight) = 3054/(2*π*56.8125*5947*1.0000) = 0.0014" (total, net tt = |tp + tm - tw| compressive) = |0.000000 + 0.000000 - (0.001438)| = 0.0014" (total required, tc = tmc + twc - tpc compressive) = 0.000000 + (0.001438) - (0.000000) = 0.0014" Operating, Hot & Corroded, Seismic, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52097/(π*56.81252*16475*1.2000*1.00) = 0.0003" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0002" 2/10/2007 10:33:19 AM 24/368
- 26. (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.000260 - (0.000219) = 0.0716" twc = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0005" (total, net tc = |tmc + twc - tpc| tensile) = |0.000260 + (0.000473) - (0.071569)| = 0.0708" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.000260+(0.000433)) / (56.6250 - 0.40*(0.3750-0.000260+(0.000433))) = 262.67 psi Operating, Hot & New, Seismic, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52097/(π*56.81252*16475*1.2000*1.00) = 0.0003" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0002" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.000260 - (0.000219) = 0.0716" twc = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0005" (total, net tc = |tmc + twc - tpc| tensile) = |0.000260 + (0.000473) - (0.071569)| = 0.0708" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.000260+(0.000433)) / (56.6250 - 0.40*(0.3750-0.000260+(0.000433))) = 262.67 psi Hot Shut Down, Corroded, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52097/(π*56.81252*16475*1.2000*1.00) 2/10/2007 10:33:19 AM 25/368
- 27. = 0.0003" tw =(0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0002" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.000260 - (0.000219) = 0.0000" tmc = M/(π*Rm2*Sc*Ks) (bending) = 52097/(π*56.81252*5947*1.2000) = 0.0007" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*3054/(2*π*56.8125*5947*1.2000) = 0.0013" tc = tmc + twc - tpc (total required, compressive) = 0.000720 + (0.001311) - (0.000000) = 0.0020" Hot Shut Down, New, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52097/(π*56.81252*16475*1.2000*1.00) = 0.0003" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*3054/(2*π*56.8125*16475*1.2000*1.00) = 0.0002" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.000260 - (0.000219) = 0.0000" tmc = M/(π*Rm2*Sc*Ks) (bending) = 52097/(π*56.81252*5947*1.2000) = 0.0007" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*3054/(2*π*56.8125*5947*1.2000) = 0.0013" tc = tmc + twc - tpc (total required, compressive) = 0.000720 + (0.001311) - (0.000000) = 0.0020" Empty, Corroded, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 42195/(π*56.81252*8301*1.2000) = 0.0004" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*3054/(2*π*56.8125*8301*1.2000) = 0.0004" 2/10/2007 10:33:19 AM 26/368
- 28. tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000418 - (0.000435)| = 0.0000" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*3054/(2*π*56.8125*8301*1.2000) = 0.0009" tc = tmc + twc - tpc (total required, compressive) = 0.000418 + (0.000939) - (0.000000) = 0.0014" Empty, New, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 42195/(π*56.81252*8301*1.2000) = 0.0004" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*3054/(2*π*56.8125*8301*1.2000) = 0.0004" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000418 - (0.000435)| = 0.0000" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*3054/(2*π*56.8125*8301*1.2000) = 0.0009" tc = tmc + twc - tpc (total required, compressive) = 0.000418 + (0.000939) - (0.000000) = 0.0014" Vacuum, Seismic, Bottom Seam tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 52097/(π*56.81252*5947*1.2000) = 0.0007" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*3054/(2*π*56.8125*5947*1.2000) = 0.0006" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.000720 - (0.000607)| = 0.0594" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*3054/(2*π*56.8125*5947*1.2000) = 0.0013" tc = tmc + twc - tpc (total required, compressive) = 0.000720 + (0.001311) - (-0.059486) = 0.0615" 2/10/2007 10:33:19 AM 27/368
- 29. Shell ASME Section VIIIDivision 1, 2004 Edition, A06 Addenda Component: Cylinder Material specification: SA-240 304L (II-D p. 78, ln. 29) Rated MDMT per UHA-51(d)(1)(a) = -320 °F Internal design pressure: P = 50 psi @ 325°F External design pressure: Pe = 15 psi @ 325°F Static liquid head: Ps = 0.5054 psi (SG=1.0000, Hs=14.0000" Operating head) Pth = 4.4625 psi (SG=1.0000, Hs=123.6250", Horizontal test head) Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000" Design MDMT = 20.00°F No impact test performed Rated MDMT = -320.00°F Material is not normalized Material is not produced to Fine Grain Practice PWHT is not performed Radiography: Longitudinal joint - None UW-11(c) Type 1 Top circumferential joint - None UW-11(c) Type 1 Bottom circumferential joint - None UW-11(c) Type 1 Estimated weight: New = 10588.0947 lb corr = 10588.0947 lb Capacity: New = 6955.6304 gal corr = 6955.6304 gal ID = 113.2500" Length Lc = 272.7500" t = 0.3750" Design thickness, (at 325.00°F) UG-27(c)(1) t = P*R/(S*E - 0.60*P) + Corrosion = 50.51*56.6250/(16475*0.70 - 0.60*50.51) + 0.0000 = 0.2487" Maximum allowable working pressure, (at 325.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) - Ps = 16475*0.70*0.3750 / (56.6250 + 0.60*0.3750) - 0.5054 = 75.5665 psi Maximum allowable pressure, (at 70.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) = 16700*0.70*0.3750 / (56.6250 + 0.60*0.3750) = 77.1108 psi External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 71.8750/114.0000 = 0.6305 Do/t = 114.0000/0.310785 = 366.8131 From table G: A = 0.000314 From table HA-3: B = 4126.6396 psi Pa = 4*B/(3*(Do/t)) = 4*4126.6396/(3*(114.0000/0.310785)) = 15.0000 psi 2/10/2007 10:33:19 AM 28/368
- 30. Design thickness forexternal pressure Pa = 15.0000 psi = t + Corrosion = 0.310785 + 0.0000 = 0.3108" Maximum Allowable External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 71.8750/114.0000 = 0.6305 Do/t = 114.0000/0.3750 = 304.0000 From table G: A = 0.000405 From table HA-3: B = 4955.7554 psi Pa = 4*B/(3*(Do/t)) = 4*4955.7554/(3*(114.0000/0.3750)) = 21.7358 psi % Forming Strain - UHA-44(a)(2)(a) = (50 * t / Rf) * (1 - Rf / Ro) = (50 * 0.3750 / 56.8125) * (1 - 56.8125 / ∞) = 0.3300 % External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104) Pv = W / (2*π*Rm) + M / (π*Rm2) = 74109.30 / (2*π*56.8125) + 482077.44 / (π*56.81252) = 255.1525 lb/in α = Pv / (Pe*Do) = 255.152512 / (15.0000*114.0000) = 0.1492 n = 8 m = 1.23 / (L/Do)2 = 1.23 / (71.875000/114.0000)2 = 3.0943 Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (82 - 1 + 3.094277 + 3.094277*0.149212) / (82 - 1 + 3.094277) = 1.0070 Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory. External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104) Pv = (1 + 0.14*SDS)*W / (2*π*Rm) + M / (π*Rm2) = 1.0933*74109.30 / (2*π*56.8125) + 3532457.75 / (π*56.81252) = 575.3561 lb/in α = Pv / (Pe*Do) = 575.356140 / (15.0000*114.0000) = 0.3365 n = 8 m = 1.23 / (L/Do)2 = 1.23 / (71.875000/114.0000)2 = 3.0943 Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (82 - 1 + 3.094277 + 3.094277*0.336466) / (82 - 1 + 3.094277) 2/10/2007 10:33:19 AM 29/368
- 31. = 1.0158 Ratio Pe* Pe ≤ MAEP design cylinder thickness is satisfactory. Design thickness = 0.3108" The governing condition is due to external pressure. The cylinder thickness of 0.3750" is adequate. Thickness Required Due to Pressure + External Loads Allowable Stress Before UG-23 Pressure P ( Temperature Corrosion C Req'd Thk Due to Req'd Thk Due to Condition Stress Increase ( Load psi) (°F) (in) Tension (in) Compression (in) psi) St Sc Wind 0.0967 0.0838 Operating, Hot & Corroded 50.00 16475.00 5946.94 325.00 0.0000 Seismic 0.1198 0.0606 Wind 0.0967 0.0838 Operating, Hot & New 50.00 16475.00 5946.94 325.00 0.0000 Seismic 0.1198 0.0606 Wind 0.0108 0.0358 Hot Shut Down, Corroded 0.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0176 0.0806 Wind 0.0108 0.0358 Hot Shut Down, New 0.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0176 0.0806 Wind 0.0072 0.0248 Empty, Corroded 0.00 16700.00 8301.36 0.00 0.0000 Seismic 0.0129 0.0502 Wind 0.0072 0.0248 Empty, New 0.00 16700.00 8301.36 0.00 0.0000 Seismic 0.0129 0.0502 Wind 0.0703 0.0952 Vacuum -15.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0254 0.1401 Hot Shut Down, Corroded, Weight & 0.00 16475.00 5946.94 325.00 0.0000 Weight 0.0341 0.0357 Eccentric Moments Only Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 5946.9448 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScHC = 5946.9448 psi Allowable Compressive Stress, Hot and New- ScHN ScHN = ScHC = 5946.9448 psi Allowable Compressive Stress, Cold and New- ScCN, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 8301.3643 psi S = 16700.0000 / 1.0000 2/10/2007 10:33:19 AM 30/368
- 32. = 16700.0000 psi ScCN = 8301.3643 psi Allowable Compressive Stress, Cold and Corroded- ScCC ScCC = ScCN = 8301.3643 psi Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 5946.9448 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScVC = 5946.9448 psi Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.70 + 0.40*|50.0000|) = 0.1022" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 482077/(π*56.81252*16475*1.2000*0.70) = 0.0034" tw = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0090" (total required, tt = tp + tm - tw tensile) = 0.102219 + 0.003435 - (0.009001) = 0.0967" twc = W/(2*π*Rm*St*Ks*Ec) (Weight) = 74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0150" (total, net tc = |tmc + twc - tpc| tensile) = |0.003435 + (0.015002) - (0.102219)| = 0.0838" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.70*(0.3750-0.003435+(0.015002)) / (56.6250 - 0.40*(0.3750-0.003435+(0.015002))) = 189.47 psi Operating, Hot & New, Wind, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.70 + 0.40*|50.0000|) = 0.1022" 2/10/2007 10:33:19 AM 31/368
- 33. tm = M/(π*Rm2*St*Ks*Ec) (bending) = 482077/(π*56.81252*16475*1.2000*0.70) = 0.0034" tw = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0090" (total required, tt = tp + tm - tw tensile) = 0.102219 + 0.003435 - (0.009001) = 0.0967" twc = W/(2*π*Rm*St*Ks*Ec) (Weight) = 74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0150" (total, net tc = |tmc + twc - tpc| tensile) = |0.003435 + (0.015002) - (0.102219)| = 0.0838" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.70*(0.3750-0.003435+(0.015002)) / (56.6250 - 0.40*(0.3750-0.003435+(0.015002))) = 189.47 psi Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 482077/(π*56.81252*5947*1.2000) = 0.0067" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*74109/(2*π*56.8125*5947*1.2000) = 0.0175" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.006662 - (0.017455)| = 0.0108" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 74109/(2*π*56.8125*5947*1.2000) = 0.0291" tc = tmc + twc - tpc (total required, compressive) = 0.006662 + (0.029092) - (0.000000) = 0.0358" Hot Shut Down, New, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 482077/(π*56.81252*5947*1.2000) = 0.0067" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) 2/10/2007 10:33:19 AM 32/368
- 34. = 0.6000*74109/(2*π*56.8125*5947*1.2000) = 0.0175" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.006662 - (0.017455)| = 0.0108" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 74109/(2*π*56.8125*5947*1.2000) = 0.0291" tc = tmc + twc - tpc (total required, compressive) = 0.006662 + (0.029092) - (0.000000) = 0.0358" Empty, Corroded, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 482077/(π*56.81252*8301*1.2000) = 0.0048" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*71095/(2*π*56.8125*8301*1.2000) = 0.0120" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.004773 - (0.011996)| = 0.0072" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 71095/(2*π*56.8125*8301*1.2000) = 0.0200" tc = tmc + twc - tpc (total required, compressive) = 0.004773 + (0.019993) - (0.000000) = 0.0248" Empty, New, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 482077/(π*56.81252*8301*1.2000) = 0.0048" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*71095/(2*π*56.8125*8301*1.2000) = 0.0120" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.004773 - (0.011996)| = 0.0072" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 71095/(2*π*56.8125*8301*1.2000) = 0.0200" tc = tmc + twc - tpc (total required, compressive) = 0.004773 + (0.019993) - (0.000000) = 0.0248" 2/10/2007 10:33:19 AM 33/368
- 35. Vacuum, Wind, BottomSeam tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 482077/(π*56.81252*5947*1.2000) = 0.0067" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*74109/(2*π*56.8125*5947*1.2000) = 0.0175" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.006662 - (0.017455)| = 0.0703" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 74109/(2*π*56.8125*5947*1.2000) = 0.0291" tc = tmc + twc - tpc (total required, compressive) = 0.006662 + (0.029092) - (-0.059486) = 0.0952" Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 48493/(π*56.81252*5947*1.0000) = 0.0008" tw = W/(2*π*Rm*Sc*Ks) (Weight) = 74109/(2*π*56.8125*5947*1.0000) = 0.0349" (total, net tt = |tp + tm - tw| compressive) = |0.000000 + 0.000804 - (0.034910)| = 0.0341" (total required, tc = tmc + twc - tpc compressive) = 0.000804 + (0.034910) - (0.000000) = 0.0357" Operating, Hot & Corroded, Seismic, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.70 + 0.40*|50.0000|) = 0.1022" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 3532458/(π*56.81252*16475*1.2000*0.70) = 0.0252" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0076" 2/10/2007 10:33:19 AM 34/368
- 36. (total required, tt = tp + tm - tw tensile) = 0.102219 + 0.025173 - (0.007601) = 0.1198" twc = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0164" (total, net tc = |tmc + twc - tpc| tensile) = |0.025173 + (0.016402) - (0.102219)| = 0.0606" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.70*(0.3750-0.025173+(0.015002)) / (56.6250 - 0.40*(0.3750-0.025173+(0.015002))) = 178.79 psi Operating, Hot & New, Seismic, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.70 + 0.40*|50.0000|) = 0.1022" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 3532458/(π*56.81252*16475*1.2000*0.70) = 0.0252" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0076" (total required, tt = tp + tm - tw tensile) = 0.102219 + 0.025173 - (0.007601) = 0.1198" twc = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0164" (total, net tc = |tmc + twc - tpc| tensile) = |0.025173 + (0.016402) - (0.102219)| = 0.0606" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.70*(0.3750-0.025173+(0.015002)) / (56.6250 - 0.40*(0.3750-0.025173+(0.015002))) = 178.79 psi Hot Shut Down, Corroded, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 3532458/(π*56.81252*16475*1.2000*0.70) 2/10/2007 10:33:19 AM 35/368
- 37. = 0.0252" tw =(0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0076" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.025173 - (0.007601) = 0.0176" tmc = M/(π*Rm2*Sc*Ks) (bending) = 3532458/(π*56.81252*5947*1.2000) = 0.0488" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*74109/(2*π*56.8125*5947*1.2000) = 0.0318" tc = tmc + twc - tpc (total required, compressive) = 0.048816 + (0.031807) - (0.000000) = 0.0806" Hot Shut Down, New, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 3532458/(π*56.81252*16475*1.2000*0.70) = 0.0252" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*74109/(2*π*56.8125*16475*1.2000*0.70) = 0.0076" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.025173 - (0.007601) = 0.0176" tmc = M/(π*Rm2*Sc*Ks) (bending) = 3532458/(π*56.81252*5947*1.2000) = 0.0488" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*74109/(2*π*56.8125*5947*1.2000) = 0.0318" tc = tmc + twc - tpc (total required, compressive) = 0.048816 + (0.031807) - (0.000000) = 0.0806" Empty, Corroded, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 2860781/(π*56.81252*16700*1.2000*0.70) = 0.0201" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*71095/(2*π*56.8125*16700*1.2000*0.70) = 0.0072" 2/10/2007 10:33:19 AM 36/368
- 38. tt = t p + tm - tw (total required, tensile) = 0.000000 + 0.020112 - (0.007193) = 0.0129" tmc = M/(π*Rm2*Sc*Ks) (bending) = 2860781/(π*56.81252*8301*1.2000) = 0.0283" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*71095/(2*π*56.8125*8301*1.2000) = 0.0219" tc = tmc + twc - tpc (total required, compressive) = 0.028321 + (0.021859) - (0.000000) = 0.0502" Empty, New, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 2860781/(π*56.81252*16700*1.2000*0.70) = 0.0201" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*71095/(2*π*56.8125*16700*1.2000*0.70) = 0.0072" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.020112 - (0.007193) = 0.0129" tmc = M/(π*Rm2*Sc*Ks) (bending) = 2860781/(π*56.81252*8301*1.2000) = 0.0283" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*71095/(2*π*56.8125*8301*1.2000) = 0.0219" tc = tmc + twc - tpc (total required, compressive) = 0.028321 + (0.021859) - (0.000000) = 0.0502" Vacuum, Seismic, Bottom Seam tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 3532458/(π*56.81252*5947*1.2000) = 0.0488" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*74109/(2*π*56.8125*5947*1.2000) = 0.0147" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.048816 - (0.014740)| = 0.0254" 2/10/2007 10:33:19 AM 37/368
- 39. twc = (1+ 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*74109/(2*π*56.8125*5947*1.2000) = 0.0318" tc = tmc + twc - tpc (total required, compressive) = 0.048816 + (0.031807) - (-0.059486) = 0.1401" 2/10/2007 10:33:19 AM 38/368
- 40. Rear Channel ASME SectionVIII Division 1, 2004 Edition, A06 Addenda Component: Cylinder Material specification: SA-240 304L (II-D p. 78, ln. 29) Rated MDMT per UHA-51(d)(1)(a) = -320 °F Internal design pressure: P = 50 psi @ 325°F External design pressure: Pe = 15 psi @ 325°F Static liquid head: Ps = 2.5809 psi (SG=1.1000, Hs=65.0000" Operating head) Pth = 4.4625 psi (SG=1.0000, Hs=123.6250", Horizontal test head) Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000" Design MDMT = 20.00°F No impact test performed Rated MDMT = -320.00°F Material is not normalized Material is not produced to Fine Grain Practice PWHT is not performed Radiography: Longitudinal joint - None UW-11(c) Type 1 Top circumferential joint - Spot UW-11(a)(5)b Type 1 Bottom circumferential joint - Spot UW-11(a)(5)b Type 1 Estimated weight: New = 5395.9487 lb corr = 5395.9487 lb Capacity: New = 6061.3469 gal corr = 6061.3469 gal ID = 113.2500" Length Lc = 139.0000" t = 0.3750" Design thickness, (at 325.00°F) UG-27(c)(1) t = P*R/(S*E - 0.60*P) + Corrosion = 52.58*56.6250/(16475*0.70 - 0.60*52.58) + 0.0000 = 0.2589" Maximum allowable working pressure, (at 325.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) - Ps = 16475*0.70*0.3750 / (56.6250 + 0.60*0.3750) - 2.5809 = 73.4910 psi Maximum allowable pressure, (at 70.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) = 16700*0.70*0.3750 / (56.6250 + 0.60*0.3750) = 77.1108 psi External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 94.9375/114.0000 = 0.8328 Do/t = 114.0000/0.349571 = 326.1136 From table G: A = 0.000279 From table HA-3: B = 3668.7749 psi Pa = 4*B/(3*(Do/t)) = 4*3668.7749/(3*(114.0000/0.349571)) = 15.0000 psi 2/10/2007 10:33:19 AM 39/368
- 41. Design thickness forexternal pressure Pa = 15.0000 psi = t + Corrosion = 0.349571 + 0.0000 = 0.3496" Maximum Allowable External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 94.9375/114.0000 = 0.8328 Do/t = 114.0000/0.3750 = 304.0000 From table G: A = 0.000303 From table HA-3: B = 3986.1138 psi Pa = 4*B/(3*(Do/t)) = 4*3986.1138/(3*(114.0000/0.3750)) = 17.4830 psi % Forming Strain - UHA-44(a)(2)(a) = (50 * t / Rf) * (1 - Rf / Ro) = (50 * 0.3750 / 56.8125) * (1 - 56.8125 / ∞) = 0.3300 % External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104) Pv = W / (2*π*Rm) + M / (π*Rm2) = 79438.45 / (2*π*56.8125) + 632810.25 / (π*56.81252) = 284.9468 lb/in α = Pv / (Pe*Do) = 284.946808 / (15.0000*114.0000) = 0.1666 n = 7 m = 1.23 / (L/Do)2 = 1.23 / (94.937500/114.0000)2 = 1.7735 Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (72 - 1 + 1.773533 + 1.773533*0.166636) / (72 - 1 + 1.773533) = 1.0059 Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory. External Pressure + Weight + Wind Loading Check at Bottom Seam (Bergman, ASME paper 54-A-104) Pv = 0.6*W / (2*π*Rm) + M / (π*Rm2) = 0.6000*-41404.86 / (2*π*56.8125) + 99965.09 / (π*56.81252) = -59.7366 lb/in α = Pv / (Pe*Do) = -59.736637 / (15.0000*114.0000) = -0.0349 n = 7 m = 1.23 / (L/Do)2 = 1.23 / (94.937500/114.0000)2 = 1.7735 Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (72 - 1 + 1.773533 + 1.773533*-0.034934) / (72 - 1 + 1.773533) 2/10/2007 10:33:19 AM 40/368
- 42. = 1.0000 Ratio Pe* Pe ≤ MAEP design cylinder thickness is satisfactory. External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104) Pv = (1 + 0.14*SDS)*W / (2*π*Rm) + M / (π*Rm2) = 1.0933*79438.45 / (2*π*56.8125) + 4564252.50 / (π*56.81252) = 693.4336 lb/in α = Pv / (Pe*Do) = 693.433594 / (15.0000*114.0000) = 0.4055 n = 7 m = 1.23 / (L/Do)2 = 1.23 / (94.937500/114.0000)2 = 1.7735 Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (72 - 1 + 1.773533 + 1.773533*0.405517) / (72 - 1 + 1.773533) = 1.0144 Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory. External Pressure + Weight + Seismic Loading Check at Bottom Seam(Bergman, ASME paper 54-A-104) Pv = (0.6 - 0.14*SDS)*W / (2*π*Rm) + M / (π*Rm2) = 0.5067*-41404.86 / (2*π*56.8125) + 312756.97 / (π*56.81252) = -27.9253 lb/in α = Pv / (Pe*Do) = -27.925318 / (15.0000*114.0000) = -0.0163 n = 7 m = 1.23 / (L/Do)2 = 1.23 / (94.937500/114.0000)2 = 1.7735 Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (72 - 1 + 1.773533 + 1.773533*-0.016331) / (72 - 1 + 1.773533) = 1.0000 Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory. Design thickness = 0.3496" The governing condition is due to external pressure. The cylinder thickness of 0.3750" is adequate. Thickness Required Due to Pressure + External Loads Allowable Stress Before UG-23 Pressure P ( Temperature Corrosion C Req'd Thk Due to Req'd Thk Due to Condition Stress Increase ( Location Load psi) (°F) (in) Tension (in) Compression (in) psi) St Sc Wind 0.0680 0.0572 Top Operating, Hot & Corroded 50.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0886 0.0365 Wind 0.0779 0.0746 Bottom 2/10/2007 10:33:19 AM 41/368
- 43. Seismic 0.0795 0.0730 Wind 0.0680 0.0572 Top Operating, Hot & New 50.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0886 0.0365 Wind 0.0779 0.0746 Bottom Seismic 0.0795 0.0730 Wind 0.0100 0.0399 Top Hot Shut Down, Corroded 0.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0171 0.0972 Wind 0.0064 0.0030 Bottom Seismic 0.0080 0.0014 Wind 0.0100 0.0399 Top Hot Shut Down, New 0.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0171 0.0972 Wind 0.0064 0.0030 Bottom Seismic 0.0080 0.0014 Wind 0.0066 0.0278 Top Empty, Corroded 0.00 16700.00 8301.36 0.00 0.0000 Seismic 0.0127 0.0599 Wind 0.0015 0.0001 Bottom Seismic 0.0015 0.0001 Wind 0.0066 0.0278 Top Empty, New 0.00 16700.00 8301.36 0.00 0.0000 Seismic 0.0127 0.0599 Wind 0.0015 0.0001 Bottom Seismic 0.0015 0.0001 Wind 0.0695 0.0994 Top Vacuum -15.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0122 0.1567 Wind 0.0419 0.0511 Bottom Seismic 0.0374 0.0556 Hot Shut Down, Corroded, Weight Top Weight 0.0366 0.0382 0.00 16475.00 5946.94 325.00 0.0000 & Eccentric Moments Only Bottom Weight 0.0073 0.0067 Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 5946.9448 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScHC = 5946.9448 psi Allowable Compressive Stress, Hot and New- ScHN ScHN = ScHC = 5946.9448 psi Allowable Compressive Stress, Cold and New- ScCN, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 8301.3643 psi S = 16700.0000 / 1.0000 2/10/2007 10:33:19 AM 42/368
- 44. = 16700.0000 psi ScCN = 8301.3643 psi Allowable Compressive Stress, Cold and Corroded- ScCC ScCC = ScCN = 8301.3643 psi Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 5946.9448 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScVC = 5946.9448 psi Operating, Hot & Corroded, Wind, Above Support Point tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 632810/(π*56.81252*16475*1.2000*1.00) = 0.0032" tw = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0068" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.003157 - (0.006754) = 0.0680" twc = W/(2*π*Rm*St*Ks*Ec) (Weight) = 79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0113" (total, net tc = |tmc + twc - tpc| tensile) = |0.003157 + (0.011256) - (0.071569)| = 0.0572" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.003157+(0.011256)) / (56.6250 - 0.40*(0.3750-0.003157+(0.011256))) = 268.24 psi Operating, Hot & New, Wind, Above Support Point tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" 2/10/2007 10:33:19 AM 43/368
- 45. tm = M/(π*Rm2*St*Ks*Ec) (bending) = 632810/(π*56.81252*16475*1.2000*1.00) = 0.0032" tw = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0068" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.003157 - (0.006754) = 0.0680" twc = W/(2*π*Rm*St*Ks*Ec) (Weight) = 79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0113" (total, net tc = |tmc + twc - tpc| tensile) = |0.003157 + (0.011256) - (0.071569)| = 0.0572" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.003157+(0.011256)) / (56.6250 - 0.40*(0.3750-0.003157+(0.011256))) = 268.24 psi Hot Shut Down, Corroded, Wind, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 632810/(π*56.81252*5947*1.2000) = 0.0087" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*79438/(2*π*56.8125*5947*1.2000) = 0.0187" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.008745 - (0.018710)| = 0.0100" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 79438/(2*π*56.8125*5947*1.2000) = 0.0312" tc = tmc + twc - tpc (total required, compressive) = 0.008745 + (0.031184) - (0.000000) = 0.0399" Hot Shut Down, New, Wind, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 632810/(π*56.81252*5947*1.2000) = 0.0087" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) 2/10/2007 10:33:19 AM 44/368
- 46. = 0.6000*79438/(2*π*56.8125*5947*1.2000) = 0.0187" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.008745 - (0.018710)| = 0.0100" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 79438/(2*π*56.8125*5947*1.2000) = 0.0312" tc = tmc + twc - tpc (total required, compressive) = 0.008745 + (0.031184) - (0.000000) = 0.0399" Empty, Corroded, Wind, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 632810/(π*56.81252*8301*1.2000) = 0.0063" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*76424/(2*π*56.8125*8301*1.2000) = 0.0129" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.006265 - (0.012895)| = 0.0066" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 76424/(2*π*56.8125*8301*1.2000) = 0.0215" tc = tmc + twc - tpc (total required, compressive) = 0.006265 + (0.021492) - (0.000000) = 0.0278" Empty, New, Wind, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 632810/(π*56.81252*8301*1.2000) = 0.0063" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*76424/(2*π*56.8125*8301*1.2000) = 0.0129" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.006265 - (0.012895)| = 0.0066" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 76424/(2*π*56.8125*8301*1.2000) = 0.0215" tc = tmc + twc - tpc (total required, compressive) = 0.006265 + (0.021492) - (0.000000) = 0.0278" 2/10/2007 10:33:19 AM 45/368
- 47. Vacuum, Wind, AboveSupport Point tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 632810/(π*56.81252*5947*1.2000) = 0.0087" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*79438/(2*π*56.8125*5947*1.2000) = 0.0187" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.008745 - (0.018710)| = 0.0695" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 79438/(2*π*56.8125*5947*1.2000) = 0.0312" tc = tmc + twc - tpc (total required, compressive) = 0.008745 + (0.031184) - (-0.059486) = 0.0994" Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 48494/(π*56.81252*5947*1.0000) = 0.0008" tw = W/(2*π*Rm*Sc*Ks) (Weight) = 79438/(2*π*56.8125*5947*1.0000) = 0.0374" (total, net tt = |tp + tm - tw| compressive) = |0.000000 + 0.000804 - (0.037421)| = 0.0366" (total required, tc = tmc + twc - tpc compressive) = 0.000804 + (0.037421) - (0.000000) = 0.0382" Operating, Hot & Corroded, Wind, Below Support Point tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 99965/(π*56.81252*16475*1.2000*1.00) = 0.0005" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0059" 2/10/2007 10:33:19 AM 46/368
- 48. (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.000499 - (-0.005867) = 0.0779" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0035" (total, net tc = |tmc + twc - tpc| tensile) = |0.000499 + (-0.003520) - (0.071569)| = 0.0746" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.000499+(-0.005867)) / (56.6250 - 0.40*(0.3750-0.000499+(-0.005867))) = 258.08 psi Operating, Hot & New, Wind, Below Support Point tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 99965/(π*56.81252*16475*1.2000*1.00) = 0.0005" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0059" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.000499 - (-0.005867) = 0.0779" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0035" (total, net tc = |tmc + twc - tpc| tensile) = |0.000499 + (-0.003520) - (0.071569)| = 0.0746" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.000499+(-0.005867)) / (56.6250 - 0.40*(0.3750-0.000499+(-0.005867))) = 258.08 psi Hot Shut Down, Corroded, Wind, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 99965/(π*56.81252*16475*1.2000*1.00) 2/10/2007 10:33:19 AM 47/368
- 49. = 0.0005" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0059" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000499 - (-0.005867) = 0.0064" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0035" (total, net tc = |tmc + twc - tpc| tensile) = |0.000499 + (-0.003520) - (0.000000)| = 0.0030" Hot Shut Down, New, Wind, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 99965/(π*56.81252*16475*1.2000*1.00) = 0.0005" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0059" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000499 - (-0.005867) = 0.0064" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0035" (total, net tc = |tmc + twc - tpc| tensile) = |0.000499 + (-0.003520) - (0.000000)| = 0.0030" Empty, Corroded, Wind, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 99965/(π*56.81252*16700*1.2000*1.00) = 0.0005" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -7042/(2*π*56.8125*16700*1.2000*1.00) = -0.0010" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000492 - (-0.000984) = 0.0015" 2/10/2007 10:33:19 AM 48/368
- 50. twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-7042/(2*π*56.8125*16700*1.2000*1.00) = -0.0006" (total, net tc = |tmc + twc - tpc| tensile) = |0.000492 + (-0.000591) - (0.000000)| = 0.0001" Empty, New, Wind, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 99965/(π*56.81252*16700*1.2000*1.00) = 0.0005" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -7042/(2*π*56.8125*16700*1.2000*1.00) = -0.0010" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000492 - (-0.000984) = 0.0015" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-7042/(2*π*56.8125*16700*1.2000*1.00) = -0.0006" (total, net tc = |tmc + twc - tpc| tensile) = |0.000492 + (-0.000591) - (0.000000)| = 0.0001" Vacuum, Wind, Below Support Point tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 99965/(π*56.81252*5947*1.2000) = 0.0014" tw = W/(2*π*Rm*Sc*Ks) (Weight) = -41405/(2*π*56.8125*5947*1.2000) = -0.0163" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.001381 - (-0.016254)| = 0.0419" twc = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*-41405/(2*π*56.8125*5947*1.2000) = -0.0098" tc = tmc + twc - tpc (total required, compressive) = 0.001381 + (-0.009752) - (-0.059486) = 0.0511" 2/10/2007 10:33:19 AM 49/368
- 51. Hot Shut Down,Corroded, Weight & Eccentric Moments Only, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 51074/(π*56.81252*16475*1.0000*1.00) = 0.0003" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -41405/(2*π*56.8125*16475*1.0000*1.00) = -0.0070" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000306 - (-0.007040) = 0.0073" (total, net tc = |tmc + twc - tpc| tensile) = |0.000306 + (-0.007040) - (0.000000)| = 0.0067" Operating, Hot & Corroded, Seismic, Above Support Point tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 4564253/(π*56.81252*16475*1.2000*1.00) = 0.0228" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0057" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.022768 - (0.005703) = 0.0886" twc = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0123" (total, net tc = |tmc + twc - tpc| tensile) = |0.022768 + (0.012307) - (0.071569)| = 0.0365" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.022768+(0.011256)) / (56.6250 - 0.40*(0.3750-0.022768+(0.011256))) = 254.47 psi Operating, Hot & New, Seismic, Above Support Point tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) 2/10/2007 10:33:19 AM 50/368
- 52. = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 4564253/(π*56.81252*16475*1.2000*1.00) = 0.0228" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0057" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.022768 - (0.005703) = 0.0886" twc = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0123" (total, net tc = |tmc + twc - tpc| tensile) = |0.022768 + (0.012307) - (0.071569)| = 0.0365" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.022768+(0.011256)) / (56.6250 - 0.40*(0.3750-0.022768+(0.011256))) = 254.47 psi Hot Shut Down, Corroded, Seismic, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 4564253/(π*56.81252*16475*1.2000*1.00) = 0.0228" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0057" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.022768 - (0.005703) = 0.0171" tmc = M/(π*Rm2*Sc*Ks) (bending) = 4564253/(π*56.81252*5947*1.2000) = 0.0631" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*79438/(2*π*56.8125*5947*1.2000) = 0.0341" tc = tmc + twc - tpc (total required, compressive) = 0.063075 + (0.034095) - (0.000000) = 0.0972" 2/10/2007 10:33:19 AM 51/368
- 53. Hot Shut Down,New, Seismic, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 4564253/(π*56.81252*16475*1.2000*1.00) = 0.0228" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*79438/(2*π*56.8125*16475*1.2000*1.00) = 0.0057" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.022768 - (0.005703) = 0.0171" tmc = M/(π*Rm2*Sc*Ks) (bending) = 4564253/(π*56.81252*5947*1.2000) = 0.0631" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*79438/(2*π*56.8125*5947*1.2000) = 0.0341" tc = tmc + twc - tpc (total required, compressive) = 0.063075 + (0.034095) - (0.000000) = 0.0972" Empty, Corroded, Seismic, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 3681590/(π*56.81252*16700*1.2000*1.00) = 0.0181" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*76424/(2*π*56.8125*16700*1.2000*1.00) = 0.0054" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.018118 - (0.005413) = 0.0127" tmc = M/(π*Rm2*Sc*Ks) (bending) = 3681590/(π*56.81252*8301*1.2000) = 0.0364" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*76424/(2*π*56.8125*8301*1.2000) = 0.0235" tc = tmc + twc - tpc (total required, compressive) = 0.036447 + (0.023498) - (0.000000) = 0.0599" Empty, New, Seismic, Above Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 3681590/(π*56.81252*16700*1.2000*1.00) 2/10/2007 10:33:19 AM 52/368
- 54. = 0.0181" tw =(0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*76424/(2*π*56.8125*16700*1.2000*1.00) = 0.0054" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.018118 - (0.005413) = 0.0127" tmc = M/(π*Rm2*Sc*Ks) (bending) = 3681590/(π*56.81252*8301*1.2000) = 0.0364" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*76424/(2*π*56.8125*8301*1.2000) = 0.0235" tc = tmc + twc - tpc (total required, compressive) = 0.036447 + (0.023498) - (0.000000) = 0.0599" Vacuum, Seismic, Above Support Point tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 4564253/(π*56.81252*5947*1.2000) = 0.0631" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*79438/(2*π*56.8125*5947*1.2000) = 0.0158" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.063075 - (0.015800)| = 0.0122" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*79438/(2*π*56.8125*5947*1.2000) = 0.0341" tc = tmc + twc - tpc (total required, compressive) = 0.063075 + (0.034095) - (-0.059486) = 0.1567" Operating, Hot & Corroded, Seismic, Below Support Point tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 312757/(π*56.81252*16475*1.2000*1.00) = 0.0016" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-41405/(2*π*56.8125*16475*1.2000*1.00) 2/10/2007 10:33:19 AM 53/368
- 55. = -0.0064" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.001560 - (-0.006415) = 0.0795" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0030" (total, net tc = |tmc + twc - tpc| tensile) = |0.001560 + (-0.002973) - (0.071569)| = 0.0730" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.001560+(-0.005867)) / (56.6250 - 0.40*(0.3750-0.001560+(-0.005867))) = 257.34 psi Operating, Hot & New, Seismic, Below Support Point tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*1.00 + 0.40*|50.0000|) = 0.0716" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 312757/(π*56.81252*16475*1.2000*1.00) = 0.0016" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0064" (total required, tt = tp + tm - tw tensile) = 0.071569 + 0.001560 - (-0.006415) = 0.0795" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0030" (total, net tc = |tmc + twc - tpc| tensile) = |0.001560 + (-0.002973) - (0.071569)| = 0.0730" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*1.00*(0.3750-0.001560+(-0.005867)) / (56.6250 - 0.40*(0.3750-0.001560+(-0.005867))) = 257.34 psi Hot Shut Down, Corroded, Seismic, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) 2/10/2007 10:33:19 AM 54/368
- 56. = 312757/(π*56.81252*16475*1.2000*1.00) = 0.0016" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0064" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.001560 - (-0.006415) = 0.0080" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0030" (total, net tc = |tmc + twc - tpc| tensile) = |0.001560 + (-0.002973) - (0.000000)| = 0.0014" Hot Shut Down, New, Seismic, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 312757/(π*56.81252*16475*1.2000*1.00) = 0.0016" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0064" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.001560 - (-0.006415) = 0.0080" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-41405/(2*π*56.8125*16475*1.2000*1.00) = -0.0030" (total, net tc = |tmc + twc - tpc| tensile) = |0.001560 + (-0.002973) - (0.000000)| = 0.0014" Empty, Corroded, Seismic, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 89803/(π*56.81252*16700*1.2000*1.00) = 0.0004" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-7042/(2*π*56.8125*16700*1.2000*1.00) = -0.0011" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000442 - (-0.001076) 2/10/2007 10:33:19 AM 55/368
- 57. = 0.0015" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-7042/(2*π*56.8125*16700*1.2000*1.00) = -0.0005" (total, net tc = |tmc + twc - tpc| tensile) = |0.000442 + (-0.000499) - (0.000000)| = 0.0001" Empty, New, Seismic, Below Support Point tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 89803/(π*56.81252*16700*1.2000*1.00) = 0.0004" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-7042/(2*π*56.8125*16700*1.2000*1.00) = -0.0011" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000442 - (-0.001076) = 0.0015" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-7042/(2*π*56.8125*16700*1.2000*1.00) = -0.0005" (total, net tc = |tmc + twc - tpc| tensile) = |0.000442 + (-0.000499) - (0.000000)| = 0.0001" Vacuum, Seismic, Below Support Point tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 312757/(π*56.81252*5947*1.2000) = 0.0043" tw = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*-41405/(2*π*56.8125*5947*1.2000) = -0.0178" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.004322 - (-0.017771)| = 0.0374" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*-41405/(2*π*56.8125*5947*1.2000) = -0.0082" tc = tmc + twc - tpc (total required, compressive) = 0.004322 + (-0.008235) - (-0.059486) 2/10/2007 10:33:19 AM 56/368
- 58. = 0.0556" 2/10/2007 10:33:19AM 57/368
- 59. Front Head ASME SectionVIII, Division 1, 2004 Edition, A06 Addenda Component: Ellipsoidal Head Material Specification: SA-240 304L (II-D p.78, ln. 29) Straight Flange governs MDMT Internal design pressure: P = 50 psi @ 325 °F External design pressure: Pe = 15 psi @ 325 °F Static liquid head: Ps= 0 psi (SG=1.1, Hs=0" Operating head) Pth= 4.4625 psi (SG=1, Hs=123.625" Horizontal test head) Corrosion allowance: Inner C = 0" Outer C = 0" Design MDMT = 20°F No impact test performed Rated MDMT = -320°F Material is not normalized Material is not produced to fine grain practice PWHT is not performed Do not Optimize MDMT / Find MAWP Radiography: Category A joints - Seamless No RT Head to shell seam - Spot UW-11(a)(5)(b) Type 1 Estimated weight*: new = 1,664.40 lb corr = 1,664.40 lb Capacity*: new = 888.5 US gal corr = 888.5 US gal * includes straight flange Inner diameter = 113.25" Minimum head thickness = 0.375" Head ratio D/2h = 2 (new) Head ratio D/2h = 2 (corroded) Straight flange length Lsf = 1.5" Nominal straight flange thickness tsf = 0.375" Insulation thk*: 0" density: 0 lb/ft3 weight: 0 lb Insulation support ring spacing: 0" individual weight: 0 lb total weight: 0 lb Lining/ref thk*: 0" density: 0 lb/ft3 weight: 0 lb * includes straight flange if applicable Results Summary The governing condition is external pressure. Minimum thickness per UG-16 = 0.0625" + 0" = 0.0625" Design thickness due to internal pressure (t) = 0.172" Design thickness due to external pressure (te) = 0.3144" Maximum allowable working pressure (MAWP) = 109.0338 psi Maximum allowable pressure (MAP) = 110.5228 psi Maximum allowable external pressure (MAEP) = 19.1157 psi Design thickness for internal pressure, (Corroded at 325 °F) UG-32(d)(1) t = P*D/(2*S*E - 0.20*P) + Corrosion = 50*113.25/(2*16475*1 - 0.20*50) + 0 = 0.1719" The head internal pressure design thickness is 0.172". 2/10/2007 10:33:19 AM 58/368
- 60. Maximum allowable workingpressure, (Corroded at 325 °F) UG-32(d)(1) P = 2*S*E*t/(D + 0.20*t) - Ps = 2*16475*1*0.375/(113.25 +0.20*0.375) - 0 = 109.0338 psi The maximum allowable working pressure (MAWP) is 109.0338 psi. Maximum allowable pressure, (New at 70 °F) UG-32(d)(1) P = 2*S*E*t/(D + 0.20*t) - Ps = 2*16700*1*0.375/(113.25 +0.20*0.375) - 0 = 110.5228 psi The maximum allowable pressure (MAP) is 110.5228 psi. Design thickness for external pressure, (Corroded at 325 °F) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do = 0.8941 * 114 = 101.9294 in A = 0.125 / (Ro/t) = 0.125 / (101.9294/0.314394) = 0.000386 From Table HA-3: B=4,863.1357 psi Pa = B/(Ro/t) = 4863.136/(101.9294/0.314394) 15 psi = t = 0.3144" + Corrosion = 0.3144" + 0" = 0.3144" Check the external pressure per UG-33(a)(1) UG-32(d)(1) t = 1.67*Pe*D/(2*S*E - 0.20*1.67*Pe) + Corrosion = 1.67*15*113.25/(2*16475*1 - 0.20*1.67*15) + 0 = 0.0861" The head external pressure design thickness (te) is 0.314394". Maximum Allowable External Pressure, (Corroded at 325 °F) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do = 0.8941 * 114 = 101.9294 in A = 0.125 / (Ro/t) = 0.125 / (101.9294/0.375) = 0.00046 From Table HA-3: B=5,195.8623 psi Pa = B/(Ro/t) = 5195.862/(101.9294/0.375) 19.1157 psi = Check the Maximum External Pressure, UG-33(a)(1) UG-32(d)(1) 2/10/2007 10:33:19 AM 59/368
- 61. P = 2*S*E*t/((D + 0.20*t)*1.67) - Ps2 = 2*16475*1*0.375/((113.25 +0.20*0.375)*1.67) - 0 = 65.2897 psi The maximum allowable external pressure (MAEP) is 19.1157 psi. % Forming strain - UHA-44(a)(2)(a) = (75*t / Rf)*(1 - Rf / Ro) = (75*0.375 / 19.44)*(1 - 19.44 / ∞) = 1.4468% 2/10/2007 10:33:19 AM 60/368
- 62. Straight Flange onFront Head ASME Section VIII Division 1, 2004 Edition, A06 Addenda Component: Straight Flange Material specification: SA-240 304L (II-D p. 78, ln. 29) Rated MDMT per UHA-51(d)(1)(a) = -320 °F Internal design pressure: P = 50 psi @ 325°F External design pressure: Pe = 15 psi @ 325°F Static liquid head: Ps = 0.0000 psi (SG=1.1000, Hs=0.0000" Operating head) Pth = 4.4625 psi (SG=1.0000, Hs=123.6250", Horizontal test head) Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000" Design MDMT = 20.00°F No impact test performed Rated MDMT = -320.00°F Material is not normalized Material is not produced to Fine Grain Practice PWHT is not performed Radiography: Longitudinal joint - Seamless No RT Circumferential joint - Spot UW-11(a)(5)b Type 1 Estimated weight: New = 58.2297 lb corr = 58.2297 lb Capacity: New = 65.4102 gal corr = 65.4102 gal ID = 113.2500" Length Lc = 1.5000" t = 0.3750" Design thickness, (at 325.00°F) UG-27(c)(1) t = P*R/(S*E - 0.60*P) + Corrosion = 50.00*56.6250/(16475*1.00 - 0.60*50.00) + 0.0000 = 0.1722" Maximum allowable working pressure, (at 325.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) - Ps = 16475*1.00*0.3750 / (56.6250 + 0.60*0.3750) - 0.0000 = 108.6741 psi Maximum allowable pressure, (at 70.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) = 16700*1.00*0.3750 / (56.6250 + 0.60*0.3750) = 110.1583 psi External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 44.6875/114.0000 = 0.3920 Do/t = 114.0000/0.261721 = 435.5780 From table G: A = 0.000393 From table HA-3: B = 4900.2603 psi Pa = 4*B/(3*(Do/t)) = 4*4900.2603/(3*(114.0000/0.261721)) = 15.0000 psi 2/10/2007 10:33:19 AM 61/368
- 63. Design thickness forexternal pressure Pa = 15.0000 psi = t + Corrosion = 0.261721 + 0.0000 = 0.2617" Maximum Allowable External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 44.6875/114.0000 = 0.3920 Do/t = 114.0000/0.3750 = 304.0000 From table G: A = 0.000671 From table HA-3: B = 5731.3779 psi Pa = 4*B/(3*(Do/t)) = 4*5731.3779/(3*(114.0000/0.3750)) = 25.1376 psi % Forming Strain - UHA-44(a)(2)(a) = (50 * t / Rf) * (1 - Rf / Ro) = (50 * 0.3750 / 56.8125) * (1 - 56.8125 / ∞) = 0.3300 % Design thickness = 0.2617" The governing condition is due to external pressure. The cylinder thickness of 0.3750" is adequate. Thickness Required Due to Pressure + External Loads Allowable Stress Before UG-23 Pressure P ( Temperature Corrosion C Req'd Thk Due to Req'd Thk Due to Condition Stress Increase ( Load psi) (°F) (in) Tension (in) Compression (in) psi) St Sc Wind 0.0840 0.0839 Operating, Hot & Corroded 50.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0841 0.0838 Wind 0.0840 0.0839 Operating, Hot & New 50.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0841 0.0838 Wind 0.0004 0.0007 Hot Shut Down, Corroded 0.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0002 0.0010 Wind 0.0004 0.0007 Hot Shut Down, New 0.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0002 0.0010 Wind 0.0003 0.0005 Empty, Corroded 0.00 16700.00 8301.36 0.00 0.0000 Seismic 0.0001 0.0007 Wind 0.0003 0.0005 Empty, New 0.00 16700.00 8301.36 0.00 0.0000 Seismic 0.0001 0.0007 Wind 0.0599 0.0602 Vacuum -15.00 16475.00 5946.94 325.00 0.0000 Seismic 0.0596 0.0604 Hot Shut Down, Corroded, Weight & 0.00 16475.00 5946.94 325.00 0.0000 Weight 0.0008 0.0008 Eccentric Moments Only 2/10/2007 10:33:19 AM 62/368
- 64. Allowable Compressive Stress,Hot and Corroded- ScHC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 5946.9448 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScHC = 5946.9448 psi Allowable Compressive Stress, Hot and New- ScHN ScHN = ScHC = 5946.9448 psi Allowable Compressive Stress, Cold and New- ScCN, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 8301.3643 psi S = 16700.0000 / 1.0000 = 16700.0000 psi ScCN = 8301.3643 psi Allowable Compressive Stress, Cold and Corroded- ScCC ScCC = ScCN = 8301.3643 psi Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.0000 / 0.3750) = 0.000822 B = 5946.9448 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScVC = 5946.9448 psi Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.85 + 0.40*|50.0000|) = 0.0842" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 2373/(π*56.81252*16475*1.2000*0.85) = 0.0000" tw = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*1773/(2*π*56.8125*16475*1.2000*0.85) = 0.0002" (total required, tt = tp + tm - tw tensile) = 0.084191 + 0.000014 - (0.000177) 2/10/2007 10:33:19 AM 63/368
- 65. = 0.0840" twc = W/(2*π*Rm*St*Ks*Ec) (Weight) = 1773/(2*π*56.8125*16475*1.2000*0.85) = 0.0003" (total, net tc = |tmc + twc - tpc| tensile) = |0.000014 + (0.000296) - (0.084191)| = 0.0839" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.85*(0.3750-0.000014+(0.000296)) / (56.6250 - 0.40*(0.3750-0.000014+(0.000296))) = 223.34 psi Operating, Hot & New, Wind, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.85 + 0.40*|50.0000|) = 0.0842" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 2373/(π*56.81252*16475*1.2000*0.85) = 0.0000" tw = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*1773/(2*π*56.8125*16475*1.2000*0.85) = 0.0002" (total required, tt = tp + tm - tw tensile) = 0.084191 + 0.000014 - (0.000177) = 0.0840" twc = W/(2*π*Rm*St*Ks*Ec) (Weight) = 1773/(2*π*56.8125*16475*1.2000*0.85) = 0.0003" (total, net tc = |tmc + twc - tpc| tensile) = |0.000014 + (0.000296) - (0.084191)| = 0.0839" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.85*(0.3750-0.000014+(0.000296)) / (56.6250 - 0.40*(0.3750-0.000014+(0.000296))) = 223.34 psi Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 2373/(π*56.81252*5947*1.2000) = 0.0000" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) 2/10/2007 10:33:19 AM 64/368
- 66. = 0.6000*1773/(2*π*56.8125*5947*1.2000) = 0.0004" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000033 - (0.000418)| = 0.0004" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 1773/(2*π*56.8125*5947*1.2000) = 0.0007" tc = tmc + twc - tpc (total required, compressive) = 0.000033 + (0.000696) - (0.000000) = 0.0007" Hot Shut Down, New, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 2373/(π*56.81252*5947*1.2000) = 0.0000" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*1773/(2*π*56.8125*5947*1.2000) = 0.0004" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000033 - (0.000418)| = 0.0004" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 1773/(2*π*56.8125*5947*1.2000) = 0.0007" tc = tmc + twc - tpc (total required, compressive) = 0.000033 + (0.000696) - (0.000000) = 0.0007" Empty, Corroded, Wind, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 2373/(π*56.81252*8301*1.2000) = 0.0000" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*1773/(2*π*56.8125*8301*1.2000) = 0.0003" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000023 - (0.000299)| = 0.0003" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 1773/(2*π*56.8125*8301*1.2000) = 0.0005" tc = tmc + twc - tpc (total required, compressive) = 0.000023 + (0.000498) - (0.000000) = 0.0005" 2/10/2007 10:33:19 AM 65/368
- 67. Empty, New, Wind,Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 2373/(π*56.81252*8301*1.2000) = 0.0000" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*1773/(2*π*56.8125*8301*1.2000) = 0.0003" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000023 - (0.000299)| = 0.0003" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 1773/(2*π*56.8125*8301*1.2000) = 0.0005" tc = tmc + twc - tpc (total required, compressive) = 0.000023 + (0.000498) - (0.000000) = 0.0005" Vacuum, Wind, Bottom Seam tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 2373/(π*56.81252*5947*1.2000) = 0.0000" tw = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*1773/(2*π*56.8125*5947*1.2000) = 0.0004" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.000033 - (0.000418)| = 0.0599" twc = W/(2*π*Rm*Sc*Ks) (Weight) = 1773/(2*π*56.8125*5947*1.2000) = 0.0007" tc = tmc + twc - tpc (total required, compressive) = 0.000033 + (0.000696) - (-0.059486) = 0.0602" Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 0/(π*56.81252*5947*1.0000) = 0.0000" tw = W/(2*π*Rm*Sc*Ks) (Weight) = 1773/(2*π*56.8125*5947*1.0000) = 0.0008" 2/10/2007 10:33:19 AM 66/368
- 68. (total, net tt = |tp + tm - tw| compressive) = |0.000000 + 0.000000 - (0.000835)| = 0.0008" (total required, tc = tmc + twc - tpc compressive) = 0.000000 + (0.000835) - (0.000000) = 0.0008" Operating, Hot & Corroded, Seismic, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.85 + 0.40*|50.0000|) = 0.0842" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 13798/(π*56.81252*16475*1.2000*0.85) = 0.0001" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*1773/(2*π*56.8125*16475*1.2000*0.85) = 0.0001" (total required, tt = tp + tm - tw tensile) = 0.084191 + 0.000081 - (0.000150) = 0.0841" twc = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*1773/(2*π*56.8125*16475*1.2000*0.85) = 0.0003" (total, net tc = |tmc + twc - tpc| tensile) = |0.000081 + (0.000323) - (0.084191)| = 0.0838" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.85*(0.3750-0.000081+(0.000296)) / (56.6250 - 0.40*(0.3750-0.000081+(0.000296))) = 223.30 psi Operating, Hot & New, Seismic, Bottom Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.85 + 0.40*|50.0000|) = 0.0842" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 13798/(π*56.81252*16475*1.2000*0.85) = 0.0001" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*1773/(2*π*56.8125*16475*1.2000*0.85) = 0.0001" (total required, tt = tp + tm - tw tensile) 2/10/2007 10:33:19 AM 67/368
- 69. = 0.084191 + 0.000081 - (0.000150) = 0.0841" twc = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*1773/(2*π*56.8125*16475*1.2000*0.85) = 0.0003" (total, net tc = |tmc + twc - tpc| tensile) = |0.000081 + (0.000323) - (0.084191)| = 0.0838" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.85*(0.3750-0.000081+(0.000296)) / (56.6250 - 0.40*(0.3750-0.000081+(0.000296))) = 223.30 psi Hot Shut Down, Corroded, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 13798/(π*56.81252*5947*1.2000) = 0.0002" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*1773/(2*π*56.8125*5947*1.2000) = 0.0004" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000191 - (0.000353)| = 0.0002" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*1773/(2*π*56.8125*5947*1.2000) = 0.0008" tc = tmc + twc - tpc (total required, compressive) = 0.000191 + (0.000761) - (0.000000) = 0.0010" Hot Shut Down, New, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 13798/(π*56.81252*5947*1.2000) = 0.0002" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*1773/(2*π*56.8125*5947*1.2000) = 0.0004" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000191 - (0.000353)| = 0.0002" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*1773/(2*π*56.8125*5947*1.2000) = 0.0008" 2/10/2007 10:33:19 AM 68/368
- 70. tc = tmc + twc - tpc (total required, compressive) = 0.000191 + (0.000761) - (0.000000) = 0.0010" Empty, Corroded, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 11176/(π*56.81252*8301*1.2000) = 0.0001" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*1773/(2*π*56.8125*8301*1.2000) = 0.0003" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000111 - (0.000253)| = 0.0001" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*1773/(2*π*56.8125*8301*1.2000) = 0.0005" tc = tmc + twc - tpc (total required, compressive) = 0.000111 + (0.000545) - (0.000000) = 0.0007" Empty, New, Seismic, Bottom Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*Sc*Ks) (bending) = 11176/(π*56.81252*8301*1.2000) = 0.0001" tw = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*1773/(2*π*56.8125*8301*1.2000) = 0.0003" tt = |tp + tm - tw| (total, net compressive) = |0.000000 + 0.000111 - (0.000253)| = 0.0001" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*1773/(2*π*56.8125*8301*1.2000) = 0.0005" tc = tmc + twc - tpc (total required, compressive) = 0.000111 + (0.000545) - (0.000000) = 0.0007" Vacuum, Seismic, Bottom Seam tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*5947*1.2000 + 0.40*|15.0000|) = -0.0595" tm = M/(π*Rm2*Sc*Ks) (bending) = 13798/(π*56.81252*5947*1.2000) = 0.0002" 2/10/2007 10:33:19 AM 69/368
- 71. tw = (0.6- 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*1773/(2*π*56.8125*5947*1.2000) = 0.0004" tt = |tp + tm - tw| (total, net compressive) = |-0.059486 + 0.000191 - (0.000353)| = 0.0596" twc = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*1773/(2*π*56.8125*5947*1.2000) = 0.0008" tc = tmc + twc - tpc (total required, compressive) = 0.000191 + (0.000761) - (-0.059486) = 0.0604" 2/10/2007 10:33:19 AM 70/368
- 72. Straight Flange onRear Channel Head ASME Section VIII Division 1, 2004 Edition, A06 Addenda Component: Straight Flange Material specification: SA-240 304L (II-D p. 78, ln. 29) Rated MDMT per UHA-51(d)(1)(a) = -320 °F Internal design pressure: P = 50 psi @ 325°F External design pressure: Pe = 15 psi @ 325°F Static liquid head: Ps = 2.6405 psi (SG=1.1000, Hs=66.5000" Operating head) Pth = 4.4625 psi (SG=1.0000, Hs=123.6250", Horizontal test head) Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000" Design MDMT = 20.00°F No impact test performed Rated MDMT = -320.00°F Material is not normalized Material is not produced to Fine Grain Practice PWHT is not performed Radiography: Longitudinal joint - Seamless No RT Circumferential joint - Spot UW-11(a)(5)b Type 1 Estimated weight: New = 77.7250 lb corr = 77.7250 lb Capacity: New = 65.4102 gal corr = 65.4102 gal ID = 113.2500" Length Lc = 1.5000" t = 0.5000" Design thickness, (at 325.00°F) UG-27(c)(1) t = P*R/(S*E - 0.60*P) + Corrosion = 52.64*56.6250/(16475*1.00 - 0.60*52.64) + 0.0000 = 0.1813" Maximum allowable working pressure, (at 325.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) - Ps = 16475*1.00*0.5000 / (56.6250 + 0.60*0.5000) - 2.6405 = 142.0674 psi Maximum allowable pressure, (at 70.00°F) UG-27(c)(1) P = S*E*t/(R + 0.60*t) = 16700*1.00*0.5000 / (56.6250 + 0.60*0.5000) = 146.6842 psi External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 94.9375/114.2500 = 0.8310 Do/t = 114.2500/0.349986 = 326.4416 From table G: A = 0.000280 From table HA-3: B = 3672.4646 psi Pa = 4*B/(3*(Do/t)) = 4*3672.4646/(3*(114.2500/0.349986)) = 15.0000 psi 2/10/2007 10:33:19 AM 71/368
- 73. Design thickness forexternal pressure Pa = 15.0000 psi = t + Corrosion = 0.349986 + 0.0000 = 0.3500" Maximum Allowable External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 94.9375/114.2500 = 0.8310 Do/t = 114.2500/0.5000 = 228.5000 From table G: A = 0.000476 From table HA-3: B = 5263.2686 psi Pa = 4*B/(3*(Do/t)) = 4*5263.2686/(3*(114.2500/0.5000)) = 30.7120 psi % Forming Strain - UHA-44(a)(2)(a) = (50 * t / Rf) * (1 - Rf / Ro) = (50 * 0.5000 / 56.8750) * (1 - 56.8750 / ∞) = 0.4396 % Design thickness = 0.3500" The governing condition is due to external pressure. The cylinder thickness of 0.5000" is adequate. Thickness Required Due to Pressure + External Loads Allowable Stress Before UG-23 Pressure P ( Temperature Corrosion C Req'd Thk Due to Req'd Thk Due to Condition Stress Increase ( Load psi) (°F) (in) Tension (in) Compression (in) psi) St Sc Wind 0.0906 0.0875 Operating, Hot & Corroded 50.00 16475.00 6264.73 325.00 0.0000 Seismic 0.0912 0.0869 Wind 0.0906 0.0875 Operating, Hot & New 50.00 16475.00 6264.73 325.00 0.0000 Seismic 0.0912 0.0869 Wind 0.0064 0.0033 Hot Shut Down, Corroded 0.00 16475.00 6264.73 325.00 0.0000 Seismic 0.0070 0.0027 Wind 0.0064 0.0033 Hot Shut Down, New 0.00 16475.00 6264.73 325.00 0.0000 Seismic 0.0070 0.0027 Wind 0.0007 0.0001 Empty, Corroded 0.00 16700.00 8841.18 0.00 0.0000 Seismic 0.0007 0.0002 Wind 0.0007 0.0001 Empty, New 0.00 16700.00 8841.18 0.00 0.0000 Seismic 0.0007 0.0002 Wind 0.0422 0.0490 Vacuum -15.00 16475.00 6264.73 325.00 0.0000 Seismic 0.0408 0.0505 Hot Shut Down, Corroded, Weight & 0.00 16475.00 6264.73 325.00 0.0000 Weight 0.0076 0.0069 Eccentric Moments Only 2/10/2007 10:33:19 AM 72/368
- 74. Allowable Compressive Stress,Hot and Corroded- ScHC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.1250 / 0.5000) = 0.001094 B = 6264.7275 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScHC = 6264.7275 psi Allowable Compressive Stress, Hot and New- ScHN ScHN = ScHC = 6264.7275 psi Allowable Compressive Stress, Cold and New- ScCN, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.1250 / 0.5000) = 0.001094 B = 8841.1787 psi S = 16700.0000 / 1.0000 = 16700.0000 psi ScCN = 8841.1787 psi Allowable Compressive Stress, Cold and Corroded- ScCC ScCC = ScCN = 8841.1787 psi Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table HA-3) A = 0.125 / (Ro / t) = 0.125 / (57.1250 / 0.5000) = 0.001094 B = 6264.7275 psi S = 16475.0000 / 1.0000 = 16475.0000 psi ScVC = 6264.7275 psi Operating, Hot & Corroded, Wind, Top Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.85 + 0.40*|50.0000|) = 0.0842" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52785/(π*56.87502*16475*1.2000*0.85) = 0.0003" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0061" (total required, tt = tp + tm - tw tensile) = 0.084191 + 0.000309 - (-0.006056) 2/10/2007 10:33:19 AM 73/368
- 75. = 0.0906" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0036" (total, net tc = |tmc + twc - tpc| tensile) = |0.000309 + (-0.003634) - (0.084191)| = 0.0875" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.85*(0.5000-0.000309+(-0.006056)) / (56.6250 - 0.40*(0.5000-0.000309+(-0.006056))) = 294.02 psi Operating, Hot & New, Wind, Top Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.85 + 0.40*|50.0000|) = 0.0842" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52785/(π*56.87502*16475*1.2000*0.85) = 0.0003" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0061" (total required, tt = tp + tm - tw tensile) = 0.084191 + 0.000309 - (-0.006056) = 0.0906" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0036" (total, net tc = |tmc + twc - tpc| tensile) = |0.000309 + (-0.003634) - (0.084191)| = 0.0875" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.85*(0.5000-0.000309+(-0.006056)) / (56.6250 - 0.40*(0.5000-0.000309+(-0.006056))) = 294.02 psi Hot Shut Down, Corroded, Wind, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52785/(π*56.87502*16475*1.2000*0.85) = 0.0003" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) 2/10/2007 10:33:19 AM 74/368
- 76. = -36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0061" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000309 - (-0.006056) = 0.0064" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0036" (total, net tc = |tmc + twc - tpc| tensile) = |0.000309 + (-0.003634) - (0.000000)| = 0.0033" Hot Shut Down, New, Wind, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52785/(π*56.87502*16475*1.2000*0.85) = 0.0003" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0061" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000309 - (-0.006056) = 0.0064" twc = 0.6*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.6000*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0036" (total, net tc = |tmc + twc - tpc| tensile) = |0.000309 + (-0.003634) - (0.000000)| = 0.0033" Empty, Corroded, Wind, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52785/(π*56.87502*16700*1.2000*0.85) = 0.0003" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -2246/(2*π*56.8750*16700*1.2000*0.85) = -0.0004" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.000305 - (-0.000369) = 0.0007" tmc = M/(π*Rm2*Sc*Ks) (bending) = 52785/(π*56.87502*8841*1.2000) = 0.0005" 2/10/2007 10:33:19 AM 75/368
- 77. twc = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*-2246/(2*π*56.8750*8841*1.2000) = -0.0004" tc = tmc + twc - tpc (total required, compressive) = 0.000490 + (-0.000355) - (0.000000) = 0.0001" Empty, New, Wind, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 52785/(π*56.87502*16700*1.2000*0.85) = 0.0003" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -2246/(2*π*56.8750*16700*1.2000*0.85) = -0.0004" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.000305 - (-0.000369) = 0.0007" tmc = M/(π*Rm2*Sc*Ks) (bending) = 52785/(π*56.87502*8841*1.2000) = 0.0005" twc = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*-2246/(2*π*56.8750*8841*1.2000) = -0.0004" tc = tmc + twc - tpc (total required, compressive) = 0.000490 + (-0.000355) - (0.000000) = 0.0001" Vacuum, Wind, Top Seam tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*6265*1.2000 + 0.40*|15.0000|) = -0.0565" tm = M/(π*Rm2*Sc*Ks) (bending) = 52785/(π*56.87502*6265*1.2000) = 0.0007" tw = W/(2*π*Rm*Sc*Ks) (Weight) = -36369/(2*π*56.8750*6265*1.2000) = -0.0135" tt = |tp + tm - tw| (total, net compressive) = |-0.056469 + 0.000691 - (-0.013538)| = 0.0422" twc = 0.6*W/(2*π*Rm*Sc*Ks) (Weight) = 0.6000*-36369/(2*π*56.8750*6265*1.2000) = -0.0081" tc = tmc + twc - tpc (total required, compressive) = 0.000691 + (-0.008123) - (-0.056469) 2/10/2007 10:33:19 AM 76/368
- 78. = 0.0490" Hot ShutDown, Corroded, Weight & Eccentric Moments Only, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 50400/(π*56.87502*16475*1.0000*0.85) = 0.0004" tw = W/(2*π*Rm*St*Ks*Ec) (Weight) = -36369/(2*π*56.8750*16475*1.0000*0.85) = -0.0073" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000354 - (-0.007267) = 0.0076" (total, net tc = |tmc + twc - tpc| tensile) = |0.000354 + (-0.007267) - (0.000000)| = 0.0069" Operating, Hot & Corroded, Seismic, Top Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.85 + 0.40*|50.0000|) = 0.0842" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 68238/(π*56.87502*16475*1.2000*0.85) = 0.0004" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0066" (total required, tt = tp + tm - tw tensile) = 0.084191 + 0.000400 - (-0.006621) = 0.0912" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0031" (total, net tc = |tmc + twc - tpc| tensile) = |0.000400 + (-0.003068) - (0.084191)| = 0.0869" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.85*(0.5000-0.000400+(-0.006056)) / (56.6250 - 0.40*(0.5000-0.000400+(-0.006056))) = 293.96 psi 2/10/2007 10:33:19 AM 77/368
- 79. Operating, Hot &New, Seismic, Top Seam tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure) = 50.00*56.6250/(2*16475*1.2000*0.85 + 0.40*|50.0000|) = 0.0842" tm = M/(π*Rm2*St*Ks*Ec) (bending) = 68238/(π*56.87502*16475*1.2000*0.85) = 0.0004" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0066" (total required, tt = tp + tm - tw tensile) = 0.084191 + 0.000400 - (-0.006621) = 0.0912" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0031" (total, net tc = |tmc + twc - tpc| tensile) = |0.000400 + (-0.003068) - (0.084191)| = 0.0869" Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw)) = 2*16475*1.2000*0.85*(0.5000-0.000400+(-0.006056)) / (56.6250 - 0.40*(0.5000-0.000400+(-0.006056))) = 293.96 psi Hot Shut Down, Corroded, Seismic, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 68238/(π*56.87502*16475*1.2000*0.85) = 0.0004" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0066" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000400 - (-0.006621) = 0.0070" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0031" (total, net tc = |tmc + twc - tpc| tensile) = |0.000400 + (-0.003068) - (0.000000)| = 0.0027" 2/10/2007 10:33:19 AM 78/368
- 80. Hot Shut Down,New, Seismic, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 68238/(π*56.87502*16475*1.2000*0.85) = 0.0004" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0066" (total required, tt = tp + tm - tw tensile) = 0.000000 + 0.000400 - (-0.006621) = 0.0070" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 0.5067*-36369/(2*π*56.8750*16475*1.2000*0.85) = -0.0031" (total, net tc = |tmc + twc - tpc| tensile) = |0.000400 + (-0.003068) - (0.000000)| = 0.0027" Empty, Corroded, Seismic, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 54642/(π*56.87502*16700*1.2000*0.85) = 0.0003" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) = 1.0933*-2246/(2*π*56.8750*16700*1.2000*0.85) = -0.0004" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.000316 - (-0.000403) = 0.0007" tmc = M/(π*Rm2*Sc*Ks) (bending) = 54642/(π*56.87502*8841*1.2000) = 0.0005" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*-2246/(2*π*56.8750*8841*1.2000) = -0.0003" tc = tmc + twc - tpc (total required, compressive) = 0.000507 + (-0.000300) - (0.000000) = 0.0002" Empty, New, Seismic, Top Seam tp = 0.0000" (Pressure) tm = M/(π*Rm2*St*Ks*Ec) (bending) = 54642/(π*56.87502*16700*1.2000*0.85) = 0.0003" tw = (1 + 0.14*SDS)*W/(2*π*Rm*St*Ks*Ec) (Weight) 2/10/2007 10:33:19 AM 79/368
- 81. = 1.0933*-2246/(2*π*56.8750*16700*1.2000*0.85) = -0.0004" tt = t p + tm - t w (total required, tensile) = 0.000000 + 0.000316 - (-0.000403) = 0.0007" tmc = M/(π*Rm2*Sc*Ks) (bending) = 54642/(π*56.87502*8841*1.2000) = 0.0005" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*-2246/(2*π*56.8750*8841*1.2000) = -0.0003" tc = tmc + twc - tpc (total required, compressive) = 0.000507 + (-0.000300) - (0.000000) = 0.0002" Vacuum, Seismic, Top Seam tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure) = -15.00*56.6250/(2*6265*1.2000 + 0.40*|15.0000|) = -0.0565" tm = M/(π*Rm2*Sc*Ks) (bending) = 68238/(π*56.87502*6265*1.2000) = 0.0009" tw = (1 + 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 1.0933*-36369/(2*π*56.8750*6265*1.2000) = -0.0148" tt = |tp + tm - tw| (total, net compressive) = |-0.056469 + 0.000893 - (-0.014801)| = 0.0408" twc = (0.6 - 0.14*SDS)*W/(2*π*Rm*Sc*Ks) (Weight) = 0.5067*-36369/(2*π*56.8750*6265*1.2000) = -0.0069" tc = tmc + twc - tpc (total required, compressive) = 0.000893 + (-0.006859) - (-0.056469) = 0.0505" 2/10/2007 10:33:19 AM 80/368
- 82. Rear Channel Head ASMESection VIII, Division 1, 2004 Edition, A06 Addenda Component: Ellipsoidal Head Material Specification: SA-240 304L (II-D p.78, ln. 29) Straight Flange governs MDMT Internal design pressure: P = 50 psi @ 325 °F External design pressure: Pe = 15 psi @ 325 °F Static liquid head: Ps= 3.7647 psi (SG=1.1, Hs=94.8125" Operating head) Pth= 4.4625 psi (SG=1, Hs=123.625" Horizontal test head) Corrosion allowance: Inner C = 0" Outer C = 0" Design MDMT = 20°F No impact test performed Rated MDMT = -320°F Material is not normalized Material is not produced to fine grain practice PWHT is not performed Do not Optimize MDMT / Find MAWP Radiography: Category A joints - Seamless No RT Head to shell seam - Spot UW-11(a)(5)(b) Type 1 Estimated weight*: new = 1,939.30 lb corr = 1,939.30 lb Capacity*: new = 888.5 US gal corr = 888.5 US gal * includes straight flange Inner diameter = 113.25" Minimum head thickness = 0.4375" Head ratio D/2h = 2 (new) Head ratio D/2h = 2 (corroded) Straight flange length Lsf = 1.5" Nominal straight flange thickness tsf = 0.5" Insulation thk*: 0" density: 0 lb/ft3 weight: 0 lb Insulation support ring spacing: 0" individual weight: 0 lb total weight: 0 lb Lining/ref thk*: 0" density: 0 lb/ft3 weight: 0 lb * includes straight flange if applicable Results Summary The governing condition is external pressure. Minimum thickness per UG-16 = 0.0625" + 0" = 0.0625" Design thickness due to internal pressure (t) = 0.1849" Design thickness due to external pressure (te) = 0.3144" Maximum allowable working pressure (MAWP) = 123.4273 psi Maximum allowable pressure (MAP) = 128.9291 psi Maximum allowable external pressure (MAEP) = 23.6169 psi Maximum external pressure at test temperature (new) = 32.4257 psi Design thickness for internal pressure, (Corroded at 325 °F) UG-32(d)(1) t = P*D/(2*S*E - 0.20*P) + Corrosion = 53.7647*113.25/(2*16475*1 - 0.20*53.7647) + 0 = 0.1849" The head internal pressure design thickness is 0.1849". 2/10/2007 10:33:19 AM 81/368
- 83. Maximum allowable workingpressure, (Corroded at 325 °F) UG-32(d)(1) P = 2*S*E*t/(D + 0.20*t) - Ps = 2*16475*1*0.4375/(113.25 +0.20*0.4375) - 3.7647 = 123.4273 psi The maximum allowable working pressure (MAWP) is 123.4273 psi. Maximum allowable pressure, (New at 70 °F) UG-32(d)(1) P = 2*S*E*t/(D + 0.20*t) - Ps = 2*16700*1*0.4375/(113.25 +0.20*0.4375) - 0 = 128.9291 psi The maximum allowable pressure (MAP) is 128.9291 psi. Design thickness for external pressure, (Corroded at 325 °F) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do = 0.8932 * 114.125 = 101.931 in A = 0.125 / (Ro/t) = 0.125 / (101.931/0.314399) = 0.000386 From Table HA-3: B=4,863.1367 psi Pa = B/(Ro/t) = 4863.137/(101.931/0.314399) 15 psi = t = 0.3144" + Corrosion = 0.3144" + 0" = 0.3144" Check the external pressure per UG-33(a)(1) UG-32(d)(1) t = 1.67*Pe*D/(2*S*E - 0.20*1.67*Pe) + Corrosion = 1.67*15*113.25/(2*16475*1 - 0.20*1.67*15) + 0 = 0.0861" The head external pressure design thickness (te) is 0.314399". Maximum Allowable External Pressure, (Corroded at 325 °F) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do = 0.8932 * 114.125 = 101.931 in A = 0.125 / (Ro/t) = 0.125 / (101.931/0.4375) = 0.000537 From Table HA-3: B=5,502.3828 psi Pa = B/(Ro/t) = 5502.383/(101.931/0.4375) 23.6169 psi = Check the Maximum External Pressure, UG-33(a)(1) UG-32(d)(1) 2/10/2007 10:33:19 AM 82/368
- 84. P = 2*S*E*t/((D + 0.20*t)*1.67) - Ps2 = 2*16475*1*0.4375/((113.25 +0.20*0.4375)*1.67) - 0 = 76.1629 psi The maximum allowable external pressure (MAEP) is 23.6169 psi. Maximum Allowable External Pressure, (New at 70 °F) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do = 0.8932 * 114.125 = 101.931 in A = 0.125 / (Ro/t) = 0.125 / (101.931/0.4375) = 0.000537 From Table HA-3: B=7,554.7129 psi Pa = B/(Ro/t) = 7554.713/(101.931/0.4375) 32.4257 psi = Check the Maximum External Pressure, UG-33(a)(1) UG-32(d)(1) P = 2*S*E*t/((D + 0.20*t)*1.67) - Ps2 = 2*16700*1*0.4375/((113.25 +0.20*0.4375)*1.67) - 0 = 77.203 psi The maximum allowable external pressure at test temperature (new) (MAEP) is 32.4257 psi. % Forming strain - UHA-44(a)(2)(a) = (75*t / Rf)*(1 - Rf / Ro) = (75*0.5 / 19.5025)*(1 - 19.5025 / ∞) = 1.9228% 2/10/2007 10:33:19 AM 83/368
- 85. Bottom Channel SectionStiffener Stiffener ring calculations per UG-29(a) Ring type: Flat bar Ring description: 3/4x5 Flat Bar Ring material: SA-36 (II-D p. 6, ln. 18) External pressure: 15.0000 psi Ring is located: outside the vessel Distance from ring neutral axis to datum: 84.0000 in Ring corrosion allowance: 0.1250 in Distance to previous support: 55.7500 in Distance to next support: 94.9375 in L/Do = 94.9375/114.0000 = 0.8327851 Do/t = 114.0000/0.3495940 = 326.0926 From Table G: A = 0.000279 From Table HA-3: B = 3,669.08 Pa = 4*B/(3*(Do/t)) = 4*3,669.08/(3*(114.0000/0.3495940)) = 15.00221 psi B = 0.75*P*Do/(t + As/Ls) = 0.75*15*114/(0.3496 + 2.4375/75.34375) = 3,357.754 From Table CS-2: A = 0.00023622 (ring, 325.00°F) From Table HA-3: A = 0.00025540 (shell, 325.00°F) Is' = [Do2*Ls*(t + As/Ls)*A]/10.9 = [1142*75.34375*(0.3496 + 2.4375/75.34375)*0.00025540]/10.9 = 8.763039 in4 I' for the composite corroded shell-ring cross section is 13.6815 in4 As I' >= Is' a 3/4x5 Flat Bar stiffener is adequate for an external pressure of 15.000 psi. Check the stiffener ring attachment welds per UG-30 Fillet weld is: Continuous both sides Fillet weld leg size: 0.2500 in Vessel thickness at weld location, new: 0.3750 in Vessel corrosion allowance at weld location: 0.0000 in Stiffener thickness at weld location: 0.7500 in Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in The fillet weld size of 0.25 in is adequate per UG-30(f)(1). Radial pressure load, P*Ls = 15*75.34375 = 1,130.156 lb/in Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*75.34375*114 = 1,288.378 lb/in First moment of area, Q = 2.697069*1.246149 = 3.360949 in3 Weld shear flow, q = V*Q/I' = 316.4985 lb/in Combined weld load, fw = Sqr(1,130.1562 + 316.49852) = 1,173.637 lb/in 2/10/2007 10:33:19 AM 84/368
- 86. Allowable weld stressper UW-18(d) Sw = 0.55*S = 0.55*16,475.00 = 9,061.25 psi Fillet weld size required to resist radial pressure and shear = fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion = 1,173.637*(1 + 0) / (9,061.25*2) + 0.125 = 0.1898 in The fillet weld size of 0.2500 in is adequate to resist radial pressure and shear. 2/10/2007 10:33:19 AM 85/368
- 87. Bottom Plate ofExpanded Chamber Stiffener ring calculations per UG-29(a) Ring type: Flat bar Ring description: 5/8x6 Flat Bar Ring material: SA-240 304L (II-D p. 78, ln. 29) External pressure: 15.0000 psi Ring is located: outside the vessel Distance from ring neutral axis to datum: 350.3750 in Ring corrosion allowance: 0.0000 in Distance to previous support: 47.0000 in Distance to next support: 71.8750 in L/Do = 71.875/114.0000 = 0.6304824 Do/t = 114.0000/0.3108990 = 366.6786 From Table G: A = 0.000314 From Table HA-3: B = 4,129.206 Pa = 4*B/(3*(Do/t)) = 4*4,129.206/(3*(114.0000/0.3108990)) = 15.01479 psi B = 0.75*P*Do/(t + As/Ls) = 0.75*15*114/(0.3109 + 3.75/59.4375) = 3,429.222 From Table HA-3: A = 0.00026082 (ring, 325.00°F) Is' = [Do2*Ls*(t + As/Ls)*A]/10.9 = [1142*59.4375*(0.3109 + 3.75/59.4375)*0.00026082]/10.9 = 6.912788 in4 I' for the composite corroded shell-ring cross section is 27.22062 in4 As I' >= Is' a 5/8x6 Flat Bar stiffener is adequate for an external pressure of 15.000 psi. Check the stiffener ring attachment welds per UG-30 Fillet weld is: Continuous both sides Fillet weld leg size: 0.3750 in Vessel thickness at weld location, new: 0.3750 in Vessel corrosion allowance at weld location: 0.0000 in Stiffener thickness at weld location: 0.6250 in Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in The fillet weld size of 0.375 in is adequate per UG-30(f)(1). Radial pressure load, P*Ls = 15*59.4375 = 891.5625 lb/in Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*59.4375*114 = 1,016.381 lb/in First moment of area, Q = 2.697069*1.85404 = 5.000474 in3 Weld shear flow, q = V*Q/I' = 186.711 lb/in Combined weld load, fw = Sqr(891.56252 + 186.7112) = 910.9032 lb/in 2/10/2007 10:33:19 AM 86/368
- 88. Allowable weld stressper UW-18(d) Sw = 0.55*S = 0.55*16,475.00 = 9,061.25 psi Fillet weld size required to resist radial pressure and shear = fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion = 910.9032*(1 + 0) / (9,061.25*2) + 0 = 0.0503 in The fillet weld size of 0.3750 in is adequate to resist radial pressure and shear. 2/10/2007 10:33:19 AM 87/368
- 89. Lower Calandria StiffenerRIngs Stiffener ring calculations per UG-29(a) Ring type: Flat bar Ring description: 3/4x5 Flat Bar Ring material: SA-36 (II-D p. 6, ln. 18) External pressure: 15.0000 psi Ring is located: outside the vessel Distance from ring neutral axis to datum: 209.5000 in Ring corrosion allowance: 0.1250 in Distance to previous support: 69.0000 in Distance to next support: 69.7500 in L/Do = 69.75/114.0000 = 0.6118421 Do/t = 114.0000/0.3073280 = 370.9392 From Table G: A = 0.000318 From Table HA-3: B = 4,177.002 Pa = 4*B/(3*(Do/t)) = 4*4,177.002/(3*(114.0000/0.3073280)) = 15.01415 psi B = 0.75*P*Do/(t + As/Ls) = 0.75*15*114/(0.3073 + 2.4375/69.375) = 3,745.235 From Table CS-2: A = 0.00026334 (ring, 325.00°F) From Table HA-3: A = 0.00028482 (shell, 325.00°F) Is' = [Do2*Ls*(t + As/Ls)*A]/10.9 = [1142*69.375*(0.3073 + 2.4375/69.375)*0.00028482]/10.9 = 8.06741 in4 I' for the composite corroded shell-ring cross section is 13.6815 in4 As I' >= Is' a 3/4x5 Flat Bar stiffener is adequate for an external pressure of 15.000 psi. Check the stiffener ring attachment welds per UG-30 Fillet weld is: Continuous both sides Fillet weld leg size: 0.2500 in Vessel thickness at weld location, new: 0.3750 in Vessel corrosion allowance at weld location: 0.0000 in Stiffener thickness at weld location: 0.7500 in Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in The fillet weld size of 0.25 in is adequate per UG-30(f)(1). Radial pressure load, P*Ls = 15*69.375 = 1,040.625 lb/in Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*69.375*114 = 1,186.313 lb/in First moment of area, Q = 2.697069*1.246149 = 3.360949 in3 Weld shear flow, q = V*Q/I' = 291.4254 lb/in Combined weld load, fw = Sqr(1,040.6252 + 291.42542) = 1,080.662 lb/in 2/10/2007 10:33:19 AM 88/368
- 90. Allowable weld stressper UW-18(d) Sw = 0.55*S = 0.55*16,475.00 = 9,061.25 psi Fillet weld size required to resist radial pressure and shear = fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion = 1,080.662*(1 + 0) / (9,061.25*2) + 0.125 = 0.1846 in The fillet weld size of 0.2500 in is adequate to resist radial pressure and shear. 2/10/2007 10:33:19 AM 89/368
- 91. Top Plate ofExpanded Chamber Stiffener ring calculations per UG-29(a) Ring type: Flat bar Ring description: 5/8x6 Flat Bar Ring material: SA-240 304L (II-D p. 78, ln. 29) External pressure: 15.0000 psi Ring is located: outside the vessel Distance from ring neutral axis to datum: 397.3750 in Ring corrosion allowance: 0.0000 in Distance to previous support: 16.6250 in Distance to next support: 47.0000 in L/Do = 47/114.0000 = 0.4122807 Do/t = 114.0000/0.2653050 = 429.6941 From Table G: A = 0.000380 From Table HA-3: B = 4,836.215 Pa = 4*B/(3*(Do/t)) = 4*4,836.215/(3*(114.0000/0.2653050)) = 15.00671 psi B = 0.75*P*Do/(t + As/Ls) = 0.75*15*114/(0.2653 + 3.75/31.8125) = 3,347.007 From Table HA-3: A = 0.00025458 (ring, 325.00°F) Is' = [Do2*Ls*(t + As/Ls)*A]/10.9 = [1142*31.8125*(0.2653 + 3.75/31.8125)*0.00025458]/10.9 = 3.700049 in4 I' for the composite corroded shell-ring cross section is 27.22062 in4 As I' >= Is' a 5/8x6 Flat Bar stiffener is adequate for an external pressure of 15.000 psi. Check the stiffener ring attachment welds per UG-30 Fillet weld is: Continuous both sides Fillet weld leg size: 0.3750 in Vessel thickness at weld location, new: 0.3750 in Vessel corrosion allowance at weld location: 0.0000 in Stiffener thickness at weld location: 0.6250 in Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in The fillet weld size of 0.375 in is adequate per UG-30(f)(1). Radial pressure load, P*Ls = 15*31.8125 = 477.1875 lb/in Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*31.8125*114 = 543.9938 lb/in First moment of area, Q = 2.697069*1.85404 = 5.000474 in3 Weld shear flow, q = V*Q/I' = 99.93259 lb/in Combined weld load, fw = Sqr(477.18752 + 99.932592) = 487.5392 lb/in 2/10/2007 10:33:19 AM 90/368
- 92. Allowable weld stressper UW-18(d) Sw = 0.55*S = 0.55*16,475.00 = 9,061.25 psi Fillet weld size required to resist radial pressure and shear = fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion = 487.5392*(1 + 0) / (9,061.25*2) + 0 = 0.0269 in The fillet weld size of 0.3750 in is adequate to resist radial pressure and shear. 2/10/2007 10:33:19 AM 91/368
- 93. Upper Calandria StiffenerRing Stiffener ring calculations per UG-29(a) Ring type: Flat bar Ring description: 3/4x5 Flat Bar Ring material: SA-36 (II-D p. 6, ln. 18) External pressure: 15.0000 psi Ring is located: outside the vessel Distance from ring neutral axis to datum: 278.5000 in Ring corrosion allowance: 0.1250 in Distance to previous support: 71.8750 in Distance to next support: 69.0000 in L/Do = 71.875/114.0000 = 0.6304824 Do/t = 114.0000/0.3108990 = 366.6786 From Table G: A = 0.000314 From Table HA-3: B = 4,129.206 Pa = 4*B/(3*(Do/t)) = 4*4,129.206/(3*(114.0000/0.3108990)) = 15.01479 psi B = 0.75*P*Do/(t + As/Ls) = 0.75*15*114/(0.3109 + 2.4375/70.4375) = 3,711.956 From Table CS-2: A = 0.00026101 (ring, 325.00°F) From Table HA-3: A = 0.00028229 (shell, 325.00°F) Is' = [Do2*Ls*(t + As/Ls)*A]/10.9 = [1142*70.4375*(0.3109 + 2.4375/70.4375)*0.00028229]/10.9 = 8.191082 in4 I' for the composite corroded shell-ring cross section is 13.6815 in4 As I' >= Is' a 3/4x5 Flat Bar stiffener is adequate for an external pressure of 15.000 psi. Check the stiffener ring attachment welds per UG-30 Fillet weld is: Continuous both sides Fillet weld leg size: 0.2500 in Vessel thickness at weld location, new: 0.3750 in Vessel corrosion allowance at weld location: 0.0000 in Stiffener thickness at weld location: 0.7500 in Per UG-30(f)(1) the minimum attachment weld size is 0.2500 in The fillet weld size of 0.25 in is adequate per UG-30(f)(1). Radial pressure load, P*Ls = 15*70.4375 = 1,056.563 lb/in Radial shear load, V = 0.01*P*Ls*Do = 0.01*15*70.4375*114 = 1,204.481 lb/in First moment of area, Q = 2.697069*1.246149 = 3.360949 in3 Weld shear flow, q = V*Q/I' = 295.8887 lb/in Combined weld load, fw = Sqr(1,056.5632 + 295.88872) = 1,097.212 lb/in 2/10/2007 10:33:19 AM 92/368
- 94. Allowable weld stressper UW-18(d) Sw = 0.55*S = 0.55*16,475.00 = 9,061.25 psi Fillet weld size required to resist radial pressure and shear = fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion = 1,097.212*(1 + 0) / (9,061.25*2) + 0.125 = 0.1855 in The fillet weld size of 0.2500 in is adequate to resist radial pressure and shear. 2/10/2007 10:33:19 AM 93/368
- 95. Air & GasVent (N6.1) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.3370 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.2676 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 4" Sch 80S (XS) Flange description: 4 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.1985 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 60° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 149 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.826 in Nozzle nominal wall thickness: 0.337 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 94/368
- 96. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 74.41 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.0071 1.0082 0.4416 0.4701 -- -- 0.0965 0.2074 0.2949 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for internal pressure 74.41 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02573). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 74.4078*1.913/((14000/0.85)*1 - 0.6*74.4078) = 0.0087 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 74.4078*56.625/(16475*1 - 0.6*74.4078) = 0.2564 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 3.826*0.2564*1 + 2*0.337*0.2564*1*(1 - 0.8498) = 1.0071 in2 2/10/2007 10:33:19 AM 95/368
- 97. Area available fromFIG. UG-37.1 A1 = larger of the following= 0.4416 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.2564) - 2*0.337*(1*0.375 - 1*0.2564)*(1 - 0.8498) = 0.4416 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.2564) - 2*0.337*(1*0.375 - 1*0.2564)*(1 - 0.8498) = 0.1568 in2 A2 = smaller of the following= 0.4701 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.0087)*0.8498*0.375 = 0.5231 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.0087)*0.8498*0.337 = 0.4701 in2 A41 = Leg2*fr2 = 0.3372*0.8498 = 0.0965 in2 Area = A1 + A2 + A41 = 0.4416 + 0.4701 + 0.0965 = 1.0082 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0102 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2564 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in The greater of tr2 or tr3: tr5 = 0.2564 in The lesser of tr4 or tr5: tr6 = 0.2074 in 2/10/2007 10:33:19 AM 96/368
- 98. Required per UG-45is the larger of tr1 or tr6 = 0.2074 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 75.43 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.0071 1.0086 0.4416 0.4704 -- -- 0.0966 0.2074 0.2949 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for internal pressure 75.43 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02573). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 75.4307*1.913/((14200/0.85)*1 - 0.6*75.4307) = 0.0087 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 75.4307*56.625/(16700*1 - 0.6*75.4307) = 0.2565 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 2/10/2007 10:33:19 AM 97/368
- 99. fr2 = lesserof 1 or Sn/Sv = 0.8503 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 3.826*0.2565*1 + 2*0.337*0.2565*1*(1 - 0.8503) = 1.0071 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.4416 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.2565) - 2*0.337*(1*0.375 - 1*0.2565)*(1 - 0.8503) = 0.4416 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.2565) - 2*0.337*(1*0.375 - 1*0.2565)*(1 - 0.8503) = 0.1568 in2 A2 = smaller of the following= 0.4704 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.0087)*0.8503*0.375 = 0.5234 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.0087)*0.8503*0.337 = 0.4704 in2 A41 = Leg2*fr2 = 0.3372*0.8503 = 0.0966 in2 Area = A1 + A2 + A41 = 0.4416 + 0.4704 + 0.0966 = 1.0086 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0102 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2565 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in The greater of tr2 or tr3: tr5 = 0.2565 in 2/10/2007 10:33:19 AM 98/368
- 100. The lesser oftr4 or tr5: tr6 = 0.2074 in 2/10/2007 10:33:19 AM 99/368
- 101. Required per UG-45is the larger of tr1 or tr6 = 0.2074 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 18.98 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 0.6707 0.6707 0.1246 0.4496 -- -- 0.0965 0.0653 0.2949 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for external pressure 18.98 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-28 trn = 0.023 in From UG-37(d)(1) required thickness tr = 0.3416 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(3.826*0.3416*1 + 2*0.337*0.3416*1*(1 - 0.8498)) = 0.6707 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.1246 in2 2/10/2007 10:33:19 AM 100/368
- 102. = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.3416) - 2*0.337*(1*0.375 - 1*0.3416)*(1 - 0.8498) = 0.1246 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.3416) - 2*0.337*(1*0.375 - 1*0.3416)*(1 - 0.8498) = 0.0442 in2 A2 = smaller of the following= 0.4496 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.023)*0.8498*0.375 = 0.5003 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.023)*0.8498*0.337 = 0.4496 in2 A41 = Leg2*fr2 = 0.3372*0.8498 = 0.0965 in2 Area = A1 + A2 + A41 = 0.1246 + 0.4496 + 0.0965 = 0.6707 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.023 in Wall thickness per UG-45(b)(2): tr2 = 0.0653 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in The greater of tr2 or tr3: tr5 = 0.0653 in The lesser of tr4 or tr5: tr6 = 0.0653 in Required per UG-45 is the larger of tr1 or tr6 = 0.0653 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. 2/10/2007 10:33:19 AM 101/368
- 103. External Pressure, (Corroded& at 325.00°F) UG-28(c) L/Do = 10.0444/4.5000 = 2.2321 Do/t = 4.5000/0.023010 = 195.5709 From table G: A = 0.000212 From table HA-3: B = 2783.4805 psi Pa = 4*B/(3*(Do/t)) = 4*2783.4805/(3*(4.5000/0.023010)) = 18.9768 psi Design thickness for external pressure Pa = 18.9768 psi = t + Corrosion = 0.023010 + 0.0000 = 0.0230" 2/10/2007 10:33:19 AM 102/368
- 104. Air & GasVent (N6.2) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.3370 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.2676 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 4" Sch 80S (XS) Flange description: 4 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.1985 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 145° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 149 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.826 in Nozzle nominal wall thickness: 0.337 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 103/368
- 105. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 74.41 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.0071 1.0082 0.4416 0.4701 -- -- 0.0965 0.2074 0.2949 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for internal pressure 74.41 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02573). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 74.4078*1.913/((14000/0.85)*1 - 0.6*74.4078) = 0.0087 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 74.4078*56.625/(16475*1 - 0.6*74.4078) = 0.2564 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 3.826*0.2564*1 + 2*0.337*0.2564*1*(1 - 0.8498) = 1.0071 in2 2/10/2007 10:33:19 AM 104/368
- 106. Area available fromFIG. UG-37.1 A1 = larger of the following= 0.4416 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.2564) - 2*0.337*(1*0.375 - 1*0.2564)*(1 - 0.8498) = 0.4416 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.2564) - 2*0.337*(1*0.375 - 1*0.2564)*(1 - 0.8498) = 0.1568 in2 A2 = smaller of the following= 0.4701 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.0087)*0.8498*0.375 = 0.5231 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.0087)*0.8498*0.337 = 0.4701 in2 A41 = Leg2*fr2 = 0.3372*0.8498 = 0.0965 in2 Area = A1 + A2 + A41 = 0.4416 + 0.4701 + 0.0965 = 1.0082 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0102 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2564 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in The greater of tr2 or tr3: tr5 = 0.2564 in The lesser of tr4 or tr5: tr6 = 0.2074 in 2/10/2007 10:33:19 AM 105/368
- 107. Required per UG-45is the larger of tr1 or tr6 = 0.2074 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 75.43 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.0071 1.0086 0.4416 0.4704 -- -- 0.0966 0.2074 0.2949 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for internal pressure 75.43 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02573). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 75.4307*1.913/((14200/0.85)*1 - 0.6*75.4307) = 0.0087 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 75.4307*56.625/(16700*1 - 0.6*75.4307) = 0.2565 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 2/10/2007 10:33:19 AM 106/368
- 108. fr2 = lesserof 1 or Sn/Sv = 0.8503 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 3.826*0.2565*1 + 2*0.337*0.2565*1*(1 - 0.8503) = 1.0071 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.4416 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.2565) - 2*0.337*(1*0.375 - 1*0.2565)*(1 - 0.8503) = 0.4416 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.2565) - 2*0.337*(1*0.375 - 1*0.2565)*(1 - 0.8503) = 0.1568 in2 A2 = smaller of the following= 0.4704 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.0087)*0.8503*0.375 = 0.5234 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.0087)*0.8503*0.337 = 0.4704 in2 A41 = Leg2*fr2 = 0.3372*0.8503 = 0.0966 in2 Area = A1 + A2 + A41 = 0.4416 + 0.4704 + 0.0966 = 1.0086 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0102 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2565 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in The greater of tr2 or tr3: tr5 = 0.2565 in 2/10/2007 10:33:19 AM 107/368
- 109. The lesser oftr4 or tr5: tr6 = 0.2074 in 2/10/2007 10:33:19 AM 108/368
- 110. Required per UG-45is the larger of tr1 or tr6 = 0.2074 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 18.98 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 0.6707 0.6707 0.1246 0.4496 -- -- 0.0965 0.0653 0.2949 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for external pressure 18.98 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-28 trn = 0.023 in From UG-37(d)(1) required thickness tr = 0.3416 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(3.826*0.3416*1 + 2*0.337*0.3416*1*(1 - 0.8498)) = 0.6707 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.1246 in2 2/10/2007 10:33:19 AM 109/368
- 111. = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.3416) - 2*0.337*(1*0.375 - 1*0.3416)*(1 - 0.8498) = 0.1246 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.3416) - 2*0.337*(1*0.375 - 1*0.3416)*(1 - 0.8498) = 0.0442 in2 A2 = smaller of the following= 0.4496 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.023)*0.8498*0.375 = 0.5003 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.023)*0.8498*0.337 = 0.4496 in2 A41 = Leg2*fr2 = 0.3372*0.8498 = 0.0965 in2 Area = A1 + A2 + A41 = 0.1246 + 0.4496 + 0.0965 = 0.6707 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.023 in Wall thickness per UG-45(b)(2): tr2 = 0.0653 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in The greater of tr2 or tr3: tr5 = 0.0653 in The lesser of tr4 or tr5: tr6 = 0.0653 in Required per UG-45 is the larger of tr1 or tr6 = 0.0653 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. 2/10/2007 10:33:19 AM 110/368
- 112. External Pressure, (Corroded& at 325.00°F) UG-28(c) L/Do = 10.0444/4.5000 = 2.2321 Do/t = 4.5000/0.023010 = 195.5709 From table G: A = 0.000212 From table HA-3: B = 2783.4805 psi Pa = 4*B/(3*(Do/t)) = 4*2783.4805/(3*(4.5000/0.023010)) = 18.9768 psi Design thickness for external pressure Pa = 18.9768 psi = t + Corrosion = 0.023010 + 0.0000 = 0.0230" 2/10/2007 10:33:19 AM 111/368
- 113. Air & GasVent (N6.3) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.3370 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.2676 psi Nozzle material specification: SA-106 B Smls pipe (II-D p. 10, ln. 5) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 4" Sch 80 (XS) Flange description: 4 inch Class 150 SO A182 F304 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.1985 psi ASME B16.5 flange rating MAWP: 201.25 psi @ 325°F ASME B16.5 flange rating MAP: 275 psi @ 70°F ASME B16.5 flange hydro test: 425 psi @ 70°F Nozzle orientation: 300° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 149 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.826 in Nozzle nominal wall thickness: 0.337 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 112/368
- 114. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 79.65 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.0504 1.0508 0.3844 0.5528 -- -- 0.1136 0.2074 0.2949 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for internal pressure 79.65 psi @ 325 °F Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -155 °F per UCS-66(b)(3) (coincident ratio = 0.02136). Nozzle UCS-66 governing thk: 0.2949 in Nozzle rated MDMT: -155 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 79.6457*1.913/(17100*1 - 0.6*79.6457) = 0.0089 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 79.6457*56.625/(16475*1 - 0.6*79.6457) = 0.2745 in Area required per UG-37(c) Allowable stresses: Sn = 17100, Sv = 16475 psi 2/10/2007 10:33:19 AM 113/368
- 115. fr1 = lesserof 1 or Sn/Sv = 1 fr2 = lesser of 1 or Sn/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 3.826*0.2745*1 + 2*0.337*0.2745*1*(1 - 1) = 1.0504 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.3844 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.2745) - 2*0.337*(1*0.375 - 1*0.2745)*(1 - 1) = 0.3844 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.2745) - 2*0.337*(1*0.375 - 1*0.2745)*(1 - 1) = 0.1431 in2 A2 = smaller of the following= 0.5528 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.0089)*1*0.375 = 0.6152 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.0089)*1*0.337 = 0.5528 in2 A41 = Leg2*fr2 = 0.3372*1 = 0.1136 in2 Area = A1 + A2 + A41 = 0.3844 + 0.5528 + 0.1136 = 1.0508 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0089 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2745 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in 2/10/2007 10:33:19 AM 114/368
- 116. The greater oftr2 or tr3: tr5 = 0.2745 in The lesser of tr4 or tr5: tr6 = 0.2074 in 2/10/2007 10:33:19 AM 115/368
- 117. Required per UG-45is the larger of tr1 or tr6 = 0.2074 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 80.67 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.0495 1.0513 0.3852 0.5525 -- -- 0.1136 0.2074 0.2949 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for internal pressure 80.67 psi @ 70 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 80.6686*1.913/(17100*1 - 0.6*80.6686) = 0.0091 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 80.6686*56.625/(16700*1 - 0.6*80.6686) = 0.2743 in Area required per UG-37(c) Allowable stresses: Sn = 17100, Sv = 16700 psi fr1 = lesser of 1 or Sn/Sv = 1 fr2 = lesser of 1 or Sn/Sv = 1 2/10/2007 10:33:19 AM 116/368
- 118. A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 3.826*0.2743*1 + 2*0.337*0.2743*1*(1 - 1) = 1.0495 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.3852 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.2743) - 2*0.337*(1*0.375 - 1*0.2743)*(1 - 1) = 0.3852 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.2743) - 2*0.337*(1*0.375 - 1*0.2743)*(1 - 1) = 0.1434 in2 A2 = smaller of the following= 0.5525 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.0091)*1*0.375 = 0.6148 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.0091)*1*0.337 = 0.5525 in2 A41 = Leg2*fr2 = 0.3372*1 = 0.1136 in2 Area = A1 + A2 + A41 = 0.3852 + 0.5525 + 0.1136 = 1.0513 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0091 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2743 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in The greater of tr2 or tr3: tr5 = 0.2743 in 2/10/2007 10:33:19 AM 117/368
- 119. The lesser oftr4 or tr5: tr6 = 0.2074 in 2/10/2007 10:33:19 AM 118/368
- 120. Required per UG-45is the larger of tr1 or tr6 = 0.2074 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 20.67 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 0.6924 0.6925 0.0499 0.5290 -- -- 0.1136 0.0711 0.2949 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2359 0.2359 weld size is adequate Calculations for external pressure 20.67 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.826 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.8425 in Nozzle required thickness per UG-28 trn = 0.0231 in From UG-37(d)(1) required thickness tr = 0.362 in Area required per UG-37(d)(1) Allowable stresses: Sn = 17100, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 1 fr2 = lesser of 1 or Sn/Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(3.826*0.362*1 + 2*0.337*0.362*1*(1 - 1)) = 0.6924 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.0499 in2 2/10/2007 10:33:19 AM 119/368
- 121. = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 3.826*(1*0.375 - 1*0.362) - 2*0.337*(1*0.375 - 1*0.362)*(1 - 1) = 0.0499 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.337)*(1*0.375 - 1*0.362) - 2*0.337*(1*0.375 - 1*0.362)*(1 - 1) = 0.0186 in2 A2 = smaller of the following= 0.529 in2 = 5*(tn - trn)*fr2*t = 5*(0.337 - 0.0231)*1*0.375 = 0.5886 in2 = 5*(tn - trn)*fr2*tn = 5*(0.337 - 0.0231)*1*0.337 = 0.529 in2 A41 = Leg2*fr2 = 0.3372*1 = 0.1136 in2 Area = A1 + A2 + A41 = 0.0499 + 0.529 + 0.1136 = 0.6925 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.337 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.2359 in tc(actual) = 0.7*Leg = 0.7*0.337 = 0.2359 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0231 in Wall thickness per UG-45(b)(2): tr2 = 0.0711 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2074 in The greater of tr2 or tr3: tr5 = 0.0711 in The lesser of tr4 or tr5: tr6 = 0.0711 in Required per UG-45 is the larger of tr1 or tr6 = 0.0711 in Available nozzle wall thickness new, tn = 0.8750*0.337 = 0.2949 in The nozzle neck thickness is adequate. 2/10/2007 10:33:19 AM 120/368
- 122. External Pressure, (Corroded& at 325.00°F) UG-28(c) L/Do = 10.0444/4.5000 = 2.2321 Do/t = 4.5000/0.023063 = 195.1192 From table G: A = 0.000213 From table CS-2: B = 3024.6873 psi Pa = 4*B/(3*(Do/t)) = 4*3024.6873/(3*(4.5000/0.023063)) = 20.6690 psi Design thickness for external pressure Pa = 20.6690 psi = t + Corrosion = 0.023063 + 0.0000 = 0.0231" 2/10/2007 10:33:19 AM 121/368
- 123. Air & GasVent (N6.4) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.2160 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 3" Sch 40S (Std) Flange description: 3 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 60° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 409.625 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.068 in Nozzle nominal wall thickness: 0.216 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 122/368
- 124. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 108.6 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 108.6 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.03204). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 108.6044*1.534/((14000/0.85)*1 - 0.6*108.6044) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 108.6044*56.625/(16475*1 - 0.6*108.6044) = 0.3748 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. 2/10/2007 10:33:19 AM 123/368
- 125. Weld strength calculationsare not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3748 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3748 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 124/368
- 126. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 110.12 psi @ 70 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 110.12 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.03204). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 110.1227*1.534/((14200/0.85)*1 - 0.6*110.1227) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 110.1227*56.625/(16700*1 - 0.6*110.1227) = 0.3749 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check 2/10/2007 10:33:19 AM 125/368
- 127. Fillet weld: tmin= lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3749 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3749 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 126/368
- 128. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For Pe = 21.74 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.0748 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for external pressure 21.74 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-28 trn = 0.0208 in From UG-37(d)(1) required thickness tr = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check 2/10/2007 10:33:19 AM 127/368
- 129. Wall thickness perUG-45(a): tr1 = 0.0208 in Wall thickness per UG-45(b)(2): tr2 = 0.0748 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.0748 in The lesser of tr4 or tr5: tr6 = 0.0748 in Required per UG-45 is the larger of tr1 or tr6 = 0.0748 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.0269/3.5000 = 2.8648 Do/t = 3.5000/0.020815 = 168.1505 From table G: A = 0.000209 From table HA-3: B = 2741.1240 psi Pa = 4*B/(3*(Do/t)) = 4*2741.1240/(3*(3.5000/0.020815)) = 21.7355 psi Design thickness for external pressure Pa = 21.7355 psi = t + Corrosion = 0.020815 + 0.0000 = 0.0208" 2/10/2007 10:33:19 AM 128/368
- 130. Air & GasVent (N6.5) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.2160 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 3" Sch 40S (Std) Flange description: 3 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 180° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 409.625 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.068 in Nozzle nominal wall thickness: 0.216 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 129/368
- 131. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 108.6 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 108.6 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.03204). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 108.6044*1.534/((14000/0.85)*1 - 0.6*108.6044) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 108.6044*56.625/(16475*1 - 0.6*108.6044) = 0.3748 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. 2/10/2007 10:33:19 AM 130/368
- 132. Weld strength calculationsare not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3748 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3748 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 131/368
- 133. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 110.12 psi @ 70 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 110.12 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.03204). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 110.1227*1.534/((14200/0.85)*1 - 0.6*110.1227) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 110.1227*56.625/(16700*1 - 0.6*110.1227) = 0.3749 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check 2/10/2007 10:33:19 AM 132/368
- 134. Fillet weld: tmin= lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3749 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3749 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 133/368
- 135. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For Pe = 21.74 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.0748 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for external pressure 21.74 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-28 trn = 0.0208 in From UG-37(d)(1) required thickness tr = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check 2/10/2007 10:33:19 AM 134/368
- 136. Wall thickness perUG-45(a): tr1 = 0.0208 in Wall thickness per UG-45(b)(2): tr2 = 0.0748 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.0748 in The lesser of tr4 or tr5: tr6 = 0.0748 in Required per UG-45 is the larger of tr1 or tr6 = 0.0748 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.0269/3.5000 = 2.8648 Do/t = 3.5000/0.020815 = 168.1505 From table G: A = 0.000209 From table HA-3: B = 2741.1240 psi Pa = 4*B/(3*(Do/t)) = 4*2741.1240/(3*(3.5000/0.020815)) = 21.7355 psi Design thickness for external pressure Pa = 21.7355 psi = t + Corrosion = 0.020815 + 0.0000 = 0.0208" 2/10/2007 10:33:19 AM 135/368
- 137. Air & GasVent (N6.6) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.2160 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0 psi Nozzle material specification: SA-240 304L (II-D p. 78, ln. 29) Nozzle longitudinal joint efficiency: 1.00 Flange description: 3 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 300° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 409.625 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.068 in Nozzle nominal wall thickness: 0.216 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 136/368
- 138. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 108.6 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.2160 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 108.6 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02383). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 108.6044*1.534/(16475*1 - 0.6*108.6044) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 108.6044*56.625/(16475*1 - 0.6*108.6044) = 0.3748 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. 2/10/2007 10:33:19 AM 137/368
- 139. Weld strength calculationsare not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0102 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3748 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3748 in The lesser of tr4 or tr5: tr6 = 0.189 in Required per UG-45 is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.216 in The nozzle neck thickness is adequate. % Forming strain - UHA-44(a)(2)(a) = (50*t / Rf)*(1 - Rf / Ro) = (50*0.216 / 1.642)*(1 - 1.642 / ∞) = 6.5773% 2/10/2007 10:33:19 AM 138/368
- 140. Reinforcement Calculations forMAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 110.12 psi @ 70 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.2160 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 110.12 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02383). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 110.1227*1.534/(16700*1 - 0.6*110.1227) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 110.1227*56.625/(16700*1 - 0.6*110.1227) = 0.3749 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in 2/10/2007 10:33:19 AM 139/368
- 141. The fillet weldsize is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0102 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3749 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3749 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 140/368
- 142. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.216 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For Pe = 21.74 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.0748 0.2160 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for external pressure 21.74 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-28 trn = 0.0208 in From UG-37(d)(1) required thickness tr = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check 2/10/2007 10:33:19 AM 141/368
- 143. Wall thickness perUG-45(a): tr1 = 0.0208 in Wall thickness per UG-45(b)(2): tr2 = 0.0748 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.0748 in The lesser of tr4 or tr5: tr6 = 0.0748 in Required per UG-45 is the larger of tr1 or tr6 = 0.0748 in Available nozzle wall thickness new, tn = 0.216 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.0269/3.5000 = 2.8648 Do/t = 3.5000/0.020815 = 168.1505 From table G: A = 0.000209 From table HA-3: B = 2741.1240 psi Pa = 4*B/(3*(Do/t)) = 4*2741.1240/(3*(3.5000/0.020815)) = 21.7355 psi Design thickness for external pressure Pa = 21.7355 psi = t + Corrosion = 0.020815 + 0.0000 = 0.0208" 2/10/2007 10:33:19 AM 142/368
- 144. Bottom Manway (M1) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.3571 in tw(upper) = 0.5000 in Leg42 = 0.2679 in Dp = 32.5000 in te = 0.5000 in Note: round inside edges per UG-76(c) Located on: Rear Channel Liquid static head included: 1.2905 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 24" X Heavy Pad material specification: SA-516 70 (II-D p. 14, ln. 20) Pad diameter: 32.5 in Flange description: 24 inch Class 150 SO A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1783642) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.8338 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 320° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 44 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 23 in Nozzle nominal wall thickness: 0.5 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in Pad is split: yes Pad joint efficiency: 0.7 2/10/2007 10:33:19 AM 143/368
- 145. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 78.39 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 6.2552 6.2591 2.3947 0.7092 -- 2.9750 0.1802 0.2702 0.4375 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 65,068.72 63,665.99 291,284.41 18,720.13 543,678.44 68,916.16 282,760.47 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) weld size is Nozzle to pad fillet (Leg41) 0.2500 0.2500 adequate weld size is Pad to shell fillet (Leg42) 0.1875 0.1875 adequate weld size is Nozzle to pad groove (Upper) 0.3500 0.5000 adequate Calculations for internal pressure 78.39 psi @ 325 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Pad impact test exemption temperature from Fig UCS-66 Curve B = -7 °F Fig UCS-66.1 MDMT reduction = 70.2 °F, (coincident ratio = 0.46461) Rated MDMT is governed by UCS-66(b)(2). Pad UCS-66 governing thickness: 0.5 in Pad rated MDMT: -55 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 23 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 78.3913*11.5/((14000/0.85)*1 - 0.6*78.3913) = 0.0549 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) 2/10/2007 10:33:19 AM 144/368
- 146. = 78.3913*56.625/(16475*1 - 0.6*78.3913) = 0.2702 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 fr3 = lesser of fr2 or Sp/Sv = 0.8498 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 23*0.2702*1 + 2*0.5*0.2702*1*(1 - 0.8498) = 6.2552 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 2.3947 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 23*(1*0.375 - 1*0.2702) - 2*0.5*(1*0.375 - 1*0.2702)*(1 - 0.8498) = 2.3947 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.5)*(1*0.375 - 1*0.2702) - 2*0.5*(1*0.375 - 1*0.2702)*(1 - 0.8498) = 0.1677 in2 A2 = smaller of the following= 0.7092 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0549)*0.8498*0.375 = 0.7092 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.5 - 0.0549)*(2.5*0.5 + 0.5)*0.8498 = 1.3239 in2 A41 = Leg2*fr3 = 0.35712*0.8498 = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (32.5 - 23 - 2*0.5)*0.5*1*0.7 = 2.975 in2 Area = A1 + A2 + A41 + A42 + A5 = 2.3947 + 0.7092 + 0.1084 + 0.0718 + 2.975 = 6.2591 in2 2/10/2007 10:33:19 AM 145/368
- 147. As Area >=A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.5 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0646 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2702 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2702 in The lesser of tr4 or tr5: tr6 = 0.2702 in Required per UG-45 is the larger of tr1 or tr6 = 0.2702 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Groove weld in tension: 0.74*16475 = 12192 psi Nozzle wall in shear: 0.7*14000 = 9800 psi Inner fillet weld in shear: 0.49*14000 = 6860 psi Outer fillet weld in shear: 0.49*16475 = 8073 psi Upper groove weld in tension: 0.74*20000 = 14800 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*24*0.3571*6860 = 92351.74 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*32.5*0.2679*8073 = 110407.2 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*23.5*0.5*9800 = 180877.2 lbf (4) Groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*24*0.375*12192 = 172353.3 lbf (6) Upper groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*24*0.5*14800 = 278973.4 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (6.2552 - 2.3947 + 2*0.5*0.8498*(1*0.375 - 1*0.2702))*16475 = 65068.72 lbf 2/10/2007 10:33:19 AM 146/368
- 148. W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.7092 + 2.975 + 0.1084 + 0.0718)*16475 = 63665.99 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.7092 + 0 + 0.1084 + 0 + 2*0.5*0.375*0.8498)*16475 = 18720.13 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.7092 + 0 + 2.975 + 0.1084 + 0.0718 + 0 + 2*0.5*0.375*0.8498)*16475 = 68916.16 lbf 2/10/2007 10:33:19 AM 147/368
- 149. Load for path1-1 lesser of W or W1-1 = 63665.99 lbf Path 1-1 through (2) & (3) = 110407.2 + 180877.2 = 291284.4 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 18720.13 lbf Path 2-2 through (1), (4), (6) = 92351.74 + 172353.3 + 278973.4 = 543678.4 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 65068.72 lbf Path 3-3 through (2), (4) = 110407.2 + 172353.3 = 282760.5 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 79.45 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 6.2546 6.2600 2.3952 0.7096 -- 2.9750 0.1802 0.2702 0.4375 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 65,940.19 64,542.16 295,376.22 18,985.60 547,351.63 69,867.16 286,622.16 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) weld size is Nozzle to pad fillet (Leg41) 0.2500 0.2500 adequate weld size is Pad to shell fillet (Leg42) 0.1875 0.1875 adequate weld size is Nozzle to pad groove (Upper) 0.3500 0.5000 adequate Calculations for internal pressure 79.45 psi @ 70 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 23 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 79.454*11.5/((14200/0.85)*1 - 0.6*79.454) 2/10/2007 10:33:19 AM 148/368
- 150. = 0.0549 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 79.454*56.625/(16700*1 - 0.6*79.454) = 0.2702 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 fr2 = lesser of 1 or Sn/Sv = 0.8503 fr3 = lesser of fr2 or Sp/Sv = 0.8503 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 23*0.2702*1 + 2*0.5*0.2702*1*(1 - 0.8503) = 6.2546 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 2.3952 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 23*(1*0.375 - 1*0.2702) - 2*0.5*(1*0.375 - 1*0.2702)*(1 - 0.8503) = 2.3952 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.5)*(1*0.375 - 1*0.2702) - 2*0.5*(1*0.375 - 1*0.2702)*(1 - 0.8503) = 0.1677 in2 A2 = smaller of the following= 0.7096 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0549)*0.8503*0.375 = 0.7096 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.5 - 0.0549)*(2.5*0.5 + 0.5)*0.8503 = 1.3246 in2 A41 = Leg2*fr3 = 0.35712*0.8503 = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (32.5 - 23 - 2*0.5)*0.5*1*0.7 = 2.975 in2 2/10/2007 10:33:19 AM 149/368
- 151. Area = A1 + A2 + A41 + A42 + A5 = 2.3952 + 0.7096 + 0.1084 + 0.0718 + 2.975 = 6.26 in2 As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.5 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0646 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2702 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2702 in The lesser of tr4 or tr5: tr6 = 0.2702 in Required per UG-45 is the larger of tr1 or tr6 = 0.2702 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Groove weld in tension: 0.74*16700 = 12358 psi Nozzle wall in shear: 0.7*14200 = 9940 psi Inner fillet weld in shear: 0.49*14200 = 6958 psi Outer fillet weld in shear: 0.49*16700 = 8183 psi Upper groove weld in tension: 0.74*20000 = 14800 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*24*0.3571*6958 = 93671.05 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*32.5*0.2679*8183 = 111915 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*23.5*0.5*9940 = 183461.2 lbf (4) Groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*24*0.375*12358 = 174707.1 lbf (6) Upper groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*24*0.5*14800 = 278973.4 lbf 2/10/2007 10:33:19 AM 150/368
- 152. Loading on weldsper UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (6.2546 - 2.3952 + 2*0.5*0.8503*(1*0.375 - 1*0.2702))*16700 = 65940.19 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.7096 + 2.975 + 0.1084 + 0.0718)*16700 = 64542.16 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.7096 + 0 + 0.1084 + 0 + 2*0.5*0.375*0.8503)*16700 = 18985.6 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.7096 + 0 + 2.975 + 0.1084 + 0.0718 + 0 + 2*0.5*0.375*0.8503)*16700 = 69867.16 lbf 2/10/2007 10:33:19 AM 151/368
- 153. Load for path1-1 lesser of W or W1-1 = 64542.16 lbf Path 1-1 through (2) & (3) = 111915 + 183461.2 = 295376.2 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 18985.6 lbf Path 2-2 through (1), (4), (6) = 93671.05 + 174707.1 + 278973.4 = 547351.6 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 65940.19 lbf Path 3-3 through (2), (4) = 111915 + 174707.1 = 286622.2 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 16.11 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 4.1775 4.1776 0.3222 0.7002 -- 2.9750 0.1802 0.0625 0.4375 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) weld size is Nozzle to pad fillet (Leg41) 0.2500 0.2500 adequate weld size is Pad to shell fillet (Leg42) 0.1875 0.1875 adequate weld size is Nozzle to pad groove (Upper) 0.3500 0.5000 adequate Calculations for external pressure 16.11 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 23 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.0606 in From UG-37(d)(1) required thickness tr = 0.3609 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475, Sp = 20000 psi 2/10/2007 10:33:19 AM 152/368
- 154. fr1 = lesserof 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 fr3 = lesser of fr2 or Sp/Sv = 0.8498 fr4 = lesser of 1 or Sp/Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(23*0.3609*1 + 2*0.5*0.3609*1*(1 - 0.8498)) = 4.1775 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.3222 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 23*(1*0.375 - 1*0.3609) - 2*0.5*(1*0.375 - 1*0.3609)*(1 - 0.8498) = 0.3222 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.5)*(1*0.375 - 1*0.3609) - 2*0.5*(1*0.375 - 1*0.3609)*(1 - 0.8498) = 0.0226 in2 A2 = smaller of the following= 0.7002 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0606)*0.8498*0.375 = 0.7002 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.5 - 0.0606)*(2.5*0.5 + 0.5)*0.8498 = 1.307 in2 A41 = Leg2*fr3 = 0.35712*0.8498 = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (32.5 - 23 - 2*0.5)*0.5*1*0.7 = 2.975 in2 Area = A1 + A2 + A41 + A42 + A5 = 0.3222 + 0.7002 + 0.1084 + 0.0718 + 2.975 = 4.1776 in2 As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.5 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in 2/10/2007 10:33:19 AM 153/368
- 155. tc(actual) = 0.7*Leg= 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0606 in Wall thickness per UG-45(b)(2): tr2 = 0.0554 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 11.2775/24.0000 = 0.4699 Do/t = 24.0000/0.060568 = 396.2465 From table G: A = 0.000370 From table HA-3: B = 4786.6040 psi Pa = 4*B/(3*(Do/t)) = 4*4786.6040/(3*(24.0000/0.060568)) = 16.1065 psi Design thickness for external pressure Pa = 16.1065 psi = t + Corrosion = 0.060568 + 0.0000 = 0.0606" 2/10/2007 10:33:19 AM 154/368
- 156. Calandria Manway (M2) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.3571 in tw(upper) = 0.3750 in Leg42 = 0.2679 in Dp = 30.0000 in te = 0.3750 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 24" Sch 20 (Std) Pad material specification: SA-516 70 (II-D p. 14, ln. 20) Pad diameter: 30 in Flange description: 24 inch Class 150 SO A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1962146) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 320° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 170.9375 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 23.25 in Nozzle nominal wall thickness: 0.375 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in Pad is split: yes Pad joint efficiency: 0.7 2/10/2007 10:33:19 AM 155/368
- 157. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 68.29 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 5.4977 5.5076 3.2318 0.5206 -- 1.5750 0.1802 0.2353 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 38,797.37 37,493.80 238,293.84 14,300.40 473,935.09 41,431.43 274,267.63 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) weld size is Nozzle to pad fillet (Leg41) 0.2500 0.2500 adequate weld size is Pad to shell fillet (Leg42) 0.1875 0.1875 adequate weld size is Nozzle to pad groove (Upper) 0.2625 0.3750 adequate Calculations for internal pressure 68.29 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.13985). Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 °F Fig UCS-66.1 MDMT reduction = 58 °F, (coincident ratio = 0.50664) Rated MDMT is governed by UCS-66(b)(2). Pad UCS-66 governing thickness: 0.375 in Pad rated MDMT: -55 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 23.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 68.2949*11.625/((14000/0.85)*1 - 0.6*68.2949) = 0.0483 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 68.2949*56.625/(16475*1 - 0.6*68.2949) 2/10/2007 10:33:19 AM 156/368
- 158. = 0.2353 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 fr3 = lesser of fr2 or Sp/Sv = 0.8498 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 23.25*0.2353*1 + 2*0.375*0.2353*1*(1 - 0.8498) = 5.4977 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 3.2318 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 23.25*(1*0.375 - 1*0.2353) - 2*0.375*(1*0.375 - 1*0.2353)*(1 - 0.8498) = 3.2318 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.2353) - 2*0.375*(1*0.375 - 1*0.2353)*(1 - 0.8498) = 0.1938 in2 A2 = smaller of the following= 0.5206 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0483)*0.8498*0.375 = 0.5206 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.0483)*(2.5*0.375 + 0.375)*0.8498 = 0.7288 in2 A41 = Leg2*fr3 = 0.35712*0.8498 = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (30 - 23.25 - 2*0.375)*0.375*1*0.7 = 1.575 in2 Area = A1 + A2 + A41 + A42 + A5 = 3.2318 + 0.5206 + 0.1084 + 0.0718 + 1.575 = 5.5076 in2 2/10/2007 10:33:19 AM 157/368
- 159. As Area >=A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0569 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2353 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2353 in The lesser of tr4 or tr5: tr6 = 0.2353 in Required per UG-45 is the larger of tr1 or tr6 = 0.2353 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Groove weld in tension: 0.74*16475 = 12192 psi Nozzle wall in shear: 0.7*14000 = 9800 psi Inner fillet weld in shear: 0.49*14000 = 6860 psi Outer fillet weld in shear: 0.49*16475 = 8073 psi Upper groove weld in tension: 0.74*20000 = 14800 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*24*0.3571*6860 = 92351.74 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*30*0.2679*8073 = 101914.4 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*23.625*0.375*9800 = 136379.5 lbf (4) Groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*24*0.375*12192 = 172353.3 lbf (6) Upper groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*24*0.375*14800 = 209230.1 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (5.4977 - 3.2318 + 2*0.375*0.8498*(1*0.375 - 1*0.2353))*16475 = 38797.37 lbf 2/10/2007 10:33:19 AM 158/368
- 160. W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.5206 + 1.575 + 0.1084 + 0.0718)*16475 = 37493.8 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.5206 + 0 + 0.1084 + 0 + 2*0.375*0.375*0.8498)*16475 = 14300.4 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.5206 + 0 + 1.575 + 0.1084 + 0.0718 + 0 + 2*0.375*0.375*0.8498)*16475 = 41431.43 lbf 2/10/2007 10:33:19 AM 159/368
- 161. Load for path1-1 lesser of W or W1-1 = 37493.8 lbf Path 1-1 through (2) & (3) = 101914.4 + 136379.5 = 238293.8 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 14300.4 lbf Path 2-2 through (1), (4), (6) = 92351.74 + 172353.3 + 209230.1 = 473935.1 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 38797.37 lbf Path 3-3 through (2), (4) = 101914.4 + 172353.3 = 274267.6 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 69.28 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 5.5018 5.5038 3.2277 0.5209 -- 1.5750 0.1802 0.2355 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 39,463.41 38,010.87 241,633.97 14,503.06 477,608.25 42,004.62 278,013.31 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) weld size is Nozzle to pad fillet (Leg41) 0.2500 0.2500 adequate weld size is Pad to shell fillet (Leg42) 0.1875 0.1875 adequate weld size is Nozzle to pad groove (Upper) 0.2625 0.3750 adequate Calculations for internal pressure 69.28 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.13985). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 23.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 69.2818*11.625/((14200/0.85)*1 - 0.6*69.2818) 2/10/2007 10:33:19 AM 160/368
- 162. = 0.0483 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 69.2818*56.625/(16700*1 - 0.6*69.2818) = 0.2355 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 fr2 = lesser of 1 or Sn/Sv = 0.8503 fr3 = lesser of fr2 or Sp/Sv = 0.8503 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 23.25*0.2355*1 + 2*0.375*0.2355*1*(1 - 0.8503) = 5.5018 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 3.2277 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 23.25*(1*0.375 - 1*0.2355) - 2*0.375*(1*0.375 - 1*0.2355)*(1 - 0.8503) = 3.2277 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.2355) - 2*0.375*(1*0.375 - 1*0.2355)*(1 - 0.8503) = 0.1936 in2 A2 = smaller of the following= 0.5209 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0483)*0.8503*0.375 = 0.5209 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.0483)*(2.5*0.375 + 0.375)*0.8503 = 0.7292 in2 A41 = Leg2*fr3 = 0.35712*0.8503 = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (30 - 23.25 - 2*0.375)*0.375*1*0.7 = 1.575 in2 2/10/2007 10:33:19 AM 161/368
- 163. Area = A1 + A2 + A41 + A42 + A5 = 3.2277 + 0.5209 + 0.1084 + 0.0718 + 1.575 = 5.5038 in2 As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0569 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2355 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2355 in The lesser of tr4 or tr5: tr6 = 0.2355 in Required per UG-45 is the larger of tr1 or tr6 = 0.2355 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Groove weld in tension: 0.74*16700 = 12358 psi Nozzle wall in shear: 0.7*14200 = 9940 psi Inner fillet weld in shear: 0.49*14200 = 6958 psi Outer fillet weld in shear: 0.49*16700 = 8183 psi Upper groove weld in tension: 0.74*20000 = 14800 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*24*0.3571*6958 = 93671.05 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*30*0.2679*8183 = 103306.2 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*23.625*0.375*9940 = 138327.8 lbf (4) Groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*24*0.375*12358 = 174707.1 lbf (6) Upper groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*24*0.375*14800 = 209230.1 lbf 2/10/2007 10:33:19 AM 162/368
- 164. Loading on weldsper UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (5.5018 - 3.2277 + 2*0.375*0.8503*(1*0.375 - 1*0.2355))*16700 = 39463.41 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.5209 + 1.575 + 0.1084 + 0.0718)*16700 = 38010.87 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.5209 + 0 + 0.1084 + 0 + 2*0.375*0.375*0.8503)*16700 = 14503.06 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.5209 + 0 + 1.575 + 0.1084 + 0.0718 + 0 + 2*0.375*0.375*0.8503)*16700 = 42004.62 lbf 2/10/2007 10:33:19 AM 163/368
- 165. Load for path1-1 lesser of W or W1-1 = 38010.87 lbf Path 1-1 through (2) & (3) = 103306.2 + 138327.8 = 241634 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 14503.06 lbf Path 2-2 through (1), (4), (6) = 93671.05 + 174707.1 + 209230.1 = 477608.3 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 39463.41 lbf Path 3-3 through (2), (4) = 103306.2 + 174707.1 = 278013.3 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 15.43 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 3.6684 3.6688 1.4105 0.5031 -- 1.5750 0.1802 0.0625 0.3281 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) weld size is Nozzle to pad fillet (Leg41) 0.2500 0.2500 adequate weld size is Pad to shell fillet (Leg42) 0.1875 0.1875 adequate weld size is Nozzle to pad groove (Upper) 0.2625 0.3750 adequate Calculations for external pressure 15.43 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 23.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.0592 in From UG-37(d)(1) required thickness tr = 0.314 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475, Sp = 20000 psi 2/10/2007 10:33:19 AM 164/368
- 166. fr1 = lesserof 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 fr3 = lesser of fr2 or Sp/Sv = 0.8498 fr4 = lesser of 1 or Sp/Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(23.25*0.314*1 + 2*0.375*0.314*1*(1 - 0.8498)) = 3.6684 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.4105 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 23.25*(1*0.375 - 1*0.314) - 2*0.375*(1*0.375 - 1*0.314)*(1 - 0.8498) = 1.4105 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.314) - 2*0.375*(1*0.375 - 1*0.314)*(1 - 0.8498) = 0.0846 in2 A2 = smaller of the following= 0.5031 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0592)*0.8498*0.375 = 0.5031 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.0592)*(2.5*0.375 + 0.375)*0.8498 = 0.7044 in2 A41 = Leg2*fr3 = 0.35712*0.8498 = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (30 - 23.25 - 2*0.375)*0.375*1*0.7 = 1.575 in2 Area = A1 + A2 + A41 + A42 + A5 = 1.4105 + 0.5031 + 0.1084 + 0.0718 + 1.575 = 3.6688 in2 As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in 2/10/2007 10:33:19 AM 165/368
- 167. tc(actual) = 0.7*Leg= 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0592 in Wall thickness per UG-45(b)(2): tr2 = 0.053 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 11.2775/24.0000 = 0.4699 Do/t = 24.0000/0.059231 = 405.1961 From table G: A = 0.000357 From table HA-3: B = 4687.6602 psi Pa = 4*B/(3*(Do/t)) = 4*4687.6602/(3*(24.0000/0.059231)) = 15.4252 psi Design thickness for external pressure Pa = 15.4252 psi = t + Corrosion = 0.059231 + 0.0000 = 0.0592" 2/10/2007 10:33:19 AM 166/368
- 168. Circulation Juice Inlet(N3) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.0000 in Leg41 = 0.3571 in Leg43 = 0.3750 in hnew = 1.0000 in Note: round inside edges per UG-76(c) Located on: Front Head Liquid static head included: 0 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 12" Sch 40S (Std) Flange description: 12 inch Class 150 SO A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1754386) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 0° Calculated as hillside: no Local vessel minimum thickness: 0.375 in End of nozzle to datum line: 483.9375 in Nozzle inside diameter, new: 12 in Nozzle nominal wall thickness: 0.375 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 6.18 in Distance to head center, R: 0 in 2/10/2007 10:33:19 AM 167/368
- 169. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 78.54 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.9443 2.9454 1.5682 0.5518 0.5975 -- 0.2279 0.2701 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 W W1-1 strength W2-2 strength 24,057.16 10,876.79 120,498.74 26,627.26 100,583.01 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) weld size is Nozzle to shell fillet (Leg41) 0.2500 0.2500 adequate 0.2625 weld size is Nozzle to inside shell fillet (Leg43) 0.2500 adequate (corroded) Calculations for internal pressure 78.54 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.06452). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 12 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 78.5431*6/((14000/0.85)*1 - 0.6*78.5431) = 0.0287 in Required thickness tr from UG-37(a)(c) tr = P*K1*D/(2*S*E - 0.2*P) = 78.5431*0.9*113.25/(2*16475*1 - 0.2*78.5431) = 0.2431 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 2/10/2007 10:33:19 AM 168/368
- 170. fr2 = lesserof 1 or Sn/Sv = 0.8498 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 12*0.2431*1 + 2*0.375*0.2431*1*(1 - 0.8498) = 2.9443 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.5682 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 12*(1*0.375 - 1*0.2431) - 2*0.375*(1*0.375 - 1*0.2431)*(1 - 0.8498) = 1.5682 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.2431) - 2*0.375*(1*0.375 - 1*0.2431)*(1 - 0.8498) = 0.183 in2 A2 = smaller of the following= 0.5518 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0287)*0.8498*0.375 = 0.5518 in2 = 5*(tn - trn)*fr2*tn = 5*(0.375 - 0.0287)*0.8498*0.375 = 0.5518 in2 A3 = smaller of the following= 0.5975 in2 = 5*t*ti*fr2 = 5*0.375*0.375*0.8498 = 0.5975 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*0.8498 = 0.5975 in2 = 2*h*ti*fr2 = 2*1*0.375*0.8498 = 0.6374 in2 A41 = Leg2*fr2 = 0.35712*0.8498 = 0.1084 in2 A43 = Leg2*fr2 = 0.3752*0.8498 = 0.1195 in2 Area = A1 + A2 + A3 + A41 + A43 = 1.5682 + 0.5518 + 0.5975 + 0.1084 + 0.1195 = 2.9454 in2 2/10/2007 10:33:19 AM 169/368
- 171. As Area >=A the reinforcement is adequate. UW-16(d) Weld Check tmin = lesser of 0.75 or tn or t = 0.375 in t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.25 in t1(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The weld size t1 is satisfactory. t2(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t2 is satisfactory. t1 + t2 = 0.5125 >= 1.25*tmin The combined weld sizes for t1 and t2 are satisfactory. UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.0338 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2701 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2701 in The lesser of tr4 or tr5: tr6 = 0.2701 in Required per UG-45 is the larger of tr1 or tr6 = 0.2701 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Nozzle wall in shear: 0.7*14000 = 9800 psi Inner fillet weld in shear: 0.49*14000 = 6860 psi Lower fillet weld in shear: 0.49*14000 = 6860 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*12.75*0.3571*6860 = 49061.87 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*12.375*0.375*9800 = 71436.88 lbf (5) Lower fillet weld in shear (π/2)*Nozzle OD*Leg*Sl = (π/2)*12.75*0.375*6860 = 51521.14 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (2.9443 - 1.5682 + 2*0.375*0.8498*(1*0.375 - 1*0.2431))*16475 = 24057.16 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.5518 + 0 + 0.1084 + 0)*16475 = 10876.79 lbf 2/10/2007 10:33:19 AM 170/368
- 172. W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.5518 + 0.5975 + 0.1084 + 0.1195 + 2*0.375*0.375*0.8498)*16475 = 26627.26 lbf 2/10/2007 10:33:19 AM 171/368
- 173. Load for path1-1 lesser of W or W1-1 = 10876.79 lbf Path 1-1 through (1) & (3) = 49061.87 + 71436.88 = 120498.7 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 24057.16 lbf Path 2-2 through (1), (5) = 49061.87 + 51521.14 = 100583 lbf Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 79.61 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.9438 2.9467 1.5687 0.5521 0.5979 -- 0.2280 0.2700 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 W W1-1 strength W2-2 strength 24,369.00 11,030.35 122,220.15 27,005.80 102,019.91 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) weld size is Nozzle to shell fillet (Leg41) 0.2500 0.2500 adequate 0.2625 weld size is Nozzle to inside shell fillet (Leg43) 0.2500 adequate (corroded) Calculations for internal pressure 79.61 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.06452). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 12 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 79.6059*6/((14200/0.85)*1 - 0.6*79.6059) = 0.0287 in Required thickness tr from UG-37(a)(c) 2/10/2007 10:33:19 AM 172/368
- 174. tr = P*K1*D/(2*S*E - 0.2*P) = 79.6059*0.9*113.25/(2*16700*1 - 0.2*79.6059) = 0.243 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 fr2 = lesser of 1 or Sn/Sv = 0.8503 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 12*0.243*1 + 2*0.375*0.243*1*(1 - 0.8503) = 2.9438 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.5687 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 12*(1*0.375 - 1*0.243) - 2*0.375*(1*0.375 - 1*0.243)*(1 - 0.8503) = 1.5687 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.243) - 2*0.375*(1*0.375 - 1*0.243)*(1 - 0.8503) = 0.1831 in2 A2 = smaller of the following= 0.5521 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0287)*0.8503*0.375 = 0.5521 in2 = 5*(tn - trn)*fr2*tn = 5*(0.375 - 0.0287)*0.8503*0.375 = 0.5521 in2 A3 = smaller of the following= 0.5979 in2 = 5*t*ti*fr2 = 5*0.375*0.375*0.8503 = 0.5979 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*0.8503 = 0.5979 in2 = 2*h*ti*fr2 = 2*1*0.375*0.8503 = 0.6377 in2 A41 = Leg2*fr2 = 0.35712*0.8503 = 0.1084 in2 2/10/2007 10:33:19 AM 173/368
- 175. A43 = Leg2*fr2 = 0.3752*0.8503 = 0.1196 in2 Area = A1 + A2 + A3 + A41 + A43 = 1.5687 + 0.5521 + 0.5979 + 0.1084 + 0.1196 = 2.9467 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check tmin = lesser of 0.75 or tn or t = 0.375 in t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.25 in t1(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The weld size t1 is satisfactory. t2(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t2 is satisfactory. t1 + t2 = 0.5125 >= 1.25*tmin The combined weld sizes for t1 and t2 are satisfactory. UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.0337 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.27 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.27 in The lesser of tr4 or tr5: tr6 = 0.27 in Required per UG-45 is the larger of tr1 or tr6 = 0.27 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Nozzle wall in shear: 0.7*14200 = 9940 psi Inner fillet weld in shear: 0.49*14200 = 6958 psi Lower fillet weld in shear: 0.49*14200 = 6958 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*12.75*0.3571*6958 = 49762.75 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*12.375*0.375*9940 = 72457.4 lbf (5) Lower fillet weld in shear (π/2)*Nozzle OD*Leg*Sl = (π/2)*12.75*0.375*6958 = 52257.16 lbf Loading on welds per UG-41(b)(1) 2/10/2007 10:33:19 AM 174/368
- 176. W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (2.9438 - 1.5687 + 2*0.375*0.8503*(1*0.375 - 1*0.243))*16700 = 24369 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.5521 + 0 + 0.1084 + 0)*16700 = 11030.35 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.5521 + 0.5979 + 0.1084 + 0.1196 + 2*0.375*0.375*0.8503)*16700 = 27005.8 lbf 2/10/2007 10:33:19 AM 175/368
- 177. Load for path1-1 lesser of W or W1-1 = 11030.35 lbf Path 1-1 through (1) & (3) = 49762.75 + 72457.4 = 122220.1 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 24369 lbf Path 2-2 through (1), (5) = 49762.75 + 52257.16 = 102019.9 lbf Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 15.69 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.9675 1.9677 0.5959 0.5464 0.5975 -- 0.2279 0.0625 0.3281 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) weld size is Nozzle to shell fillet (Leg41) 0.2500 0.2500 adequate 0.2625 weld size is Nozzle to inside shell fillet (Leg43) 0.2500 adequate (corroded) Calculations for external pressure 15.69 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 12 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.0321 in From UG-37(d)(1) required thickness tr = 0.3249 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) 2/10/2007 10:33:19 AM 176/368
- 178. = 0.5*(12*0.3249*1 + 2*0.375*0.3249*1*(1 - 0.8498)) = 1.9675 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.5959 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 12*(1*0.375 - 1*0.3249) - 2*0.375*(1*0.375 - 1*0.3249)*(1 - 0.8498) = 0.5959 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.3249) - 2*0.375*(1*0.375 - 1*0.3249)*(1 - 0.8498) = 0.0695 in2 A2 = smaller of the following= 0.5464 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0321)*0.8498*0.375 = 0.5464 in2 = 5*(tn - trn)*fr2*tn = 5*(0.375 - 0.0321)*0.8498*0.375 = 0.5464 in2 A3 = smaller of the following= 0.5975 in2 = 5*t*ti*fr2 = 5*0.375*0.375*0.8498 = 0.5975 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*0.8498 = 0.5975 in2 = 2*h*ti*fr2 = 2*1*0.375*0.8498 = 0.6374 in2 A41 = Leg2*fr2 = 0.35712*0.8498 = 0.1084 in2 A43 = Leg2*fr2 = 0.3752*0.8498 = 0.1195 in2 Area = A1 + A2 + A3 + A41 + A43 = 0.5959 + 0.5464 + 0.5975 + 0.1084 + 0.1195 = 1.9677 in2 As Area >= A the reinforcement is adequate. 2/10/2007 10:33:19 AM 177/368
- 179. UW-16(d) Weld Check tmin= lesser of 0.75 or tn or t = 0.375 in t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.25 in t1(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The weld size t1 is satisfactory. t2(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t2 is satisfactory. t1 + t2 = 0.5125 >= 1.25*tmin The combined weld sizes for t1 and t2 are satisfactory. UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.0321 in Wall thickness per UG-45(b)(2): tr2 = 0.0539 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 6.1800/12.7500 = 0.4847 Do/t = 12.7500/0.032094 = 397.2674 From table G: A = 0.000356 From table HA-3: B = 4675.4219 psi Pa = 4*B/(3*(Do/t)) = 4*4675.4219/(3*(12.7500/0.032094)) = 15.6919 psi Design thickness for external pressure Pa = 15.6919 psi = t + Corrosion = 0.032094 + 0.0000 = 0.0321" 2/10/2007 10:33:19 AM 178/368
- 180. Circulation Juice Outlet(N4) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.4375 in Leg41 = 0.3571 in Note: round inside edges per UG-76(c) Located on: Rear Channel Head Liquid static head included: 4.2012 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 14" Sch 30 (Std) Flange description: 14 inch Class 150 SO A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1902407) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 4.2186 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 180° Calculated as hillside: yes Local vessel minimum thickness: 0.4375 in End of nozzle to datum line: -41.375 in Nozzle inside diameter, new: 13.25 in Nozzle nominal wall thickness: 0.375 in Nozzle corrosion allowance: 0 in Opening chord length: 13.6732 in Projection available outside vessel, Lpr: 12.6779 in Distance to head center, R: 25.5 in 2/10/2007 10:33:19 AM 179/368
- 181. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 77.81 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 3.3198 3.3231 2.6672 0.5475 -- -- 0.1084 0.2676 0.3281 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.2500 weld size is adequate Calculations for internal pressure 77.81 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.07724). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 13.6732 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 77.81*6.625/((14000/0.85)*1 - 0.6*77.81) = 0.0314 in Required thickness tr from UG-37(a)(c) tr = P*K1*D/(2*S*E - 0.2*P) = 77.81*0.9*113.25/(2*16475*1 - 0.2*77.81) = 0.2408 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 13.6732*0.2408*1 + 2*0.375*0.2408*1*(1 - 0.8498) = 3.3198 in2 2/10/2007 10:33:19 AM 180/368
- 182. Area available fromFIG. UG-37.1 A1 = larger of the following= 2.6672 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 13.6732*(1*0.4375 - 1*0.2408) - 2*0.375*(1*0.4375 - 1*0.2408)*(1 - 0.8498) = 2.6672 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.4375 + 0.375)*(1*0.4375 - 1*0.2408) - 2*0.375*(1*0.4375 - 1*0.2408)*(1 - 0.8498) = 0.2975 in2 A2 = smaller of the following= 0.5475 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0314)*0.8498*0.4375 = 0.6387 in2 = 5*(tn - trn)*fr2*tn = 5*(0.375 - 0.0314)*0.8498*0.375 = 0.5475 in2 A41 = Leg2*fr2 = 0.35712*0.8498 = 0.1084 in2 Area = A1 + A2 + A41 = 2.6672 + 0.5475 + 0.1084 = 3.3231 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.037 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2676 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2676 in The lesser of tr4 or tr5: tr6 = 0.2676 in 2/10/2007 10:33:19 AM 181/368
- 183. Required per UG-45is the larger of tr1 or tr6 = 0.2676 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 78.85 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 3.3186 3.3246 2.6684 0.5478 -- -- 0.1084 0.2675 0.3281 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.2500 weld size is adequate Calculations for internal pressure 78.85 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.07724). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 13.6732 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 78.8467*6.625/((14200/0.85)*1 - 0.6*78.8467) = 0.0314 in Required thickness tr from UG-37(a)(c) tr = P*K1*D/(2*S*E - 0.2*P) = 78.8467*0.9*113.25/(2*16700*1 - 0.2*78.8467) = 0.2407 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 2/10/2007 10:33:19 AM 182/368
- 184. fr2 = lesserof 1 or Sn/Sv = 0.8503 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 13.6732*0.2407*1 + 2*0.375*0.2407*1*(1 - 0.8503) = 3.3186 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 2.6684 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 13.6732*(1*0.4375 - 1*0.2407) - 2*0.375*(1*0.4375 - 1*0.2407)*(1 - 0.8503) = 2.6684 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.4375 + 0.375)*(1*0.4375 - 1*0.2407) - 2*0.375*(1*0.4375 - 1*0.2407)*(1 - 0.8503) = 0.2977 in2 A2 = smaller of the following= 0.5478 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0314)*0.8503*0.4375 = 0.6391 in2 = 5*(tn - trn)*fr2*tn = 5*(0.375 - 0.0314)*0.8503*0.375 = 0.5478 in2 A41 = Leg2*fr2 = 0.35712*0.8503 = 0.1084 in2 Area = A1 + A2 + A41 = 2.6684 + 0.5478 + 0.1084 = 3.3246 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.0369 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2675 in Wall thickness per UG-16(b): tr3 = 0.0625 in 2/10/2007 10:33:19 AM 183/368
- 185. Standard wall pipeper UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2675 in The lesser of tr4 or tr5: tr6 = 0.2675 in 2/10/2007 10:33:19 AM 184/368
- 186. Required per UG-45is the larger of tr1 or tr6 = 0.2675 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 15.41 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.2102 2.2103 1.5842 0.5177 -- -- 0.1084 0.0625 0.3281 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.2500 weld size is adequate Calculations for external pressure 15.41 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 13.6725 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.9375 in Nozzle required thickness per UG-28 trn = 0.0501 in From UG-37(d)(1) required thickness tr = 0.3207 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(13.6725*0.3207*1 + 2*0.375*0.3207*1*(1 - 0.8498)) = 2.2102 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.5842 in2 2/10/2007 10:33:19 AM 185/368
- 187. = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 13.6725*(1*0.4375 - 1*0.3207) - 2*0.375*(1*0.4375 - 1*0.3207)*(1 - 0.8498) = 1.5842 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.4375 + 0.375)*(1*0.4375 - 1*0.3207) - 2*0.375*(1*0.4375 - 1*0.3207)*(1 - 0.8498) = 0.1767 in2 A2 = smaller of the following= 0.5177 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0501)*0.8498*0.4375 = 0.604 in2 = 5*(tn - trn)*fr2*tn = 5*(0.375 - 0.0501)*0.8498*0.375 = 0.5177 in2 A41 = Leg2*fr2 = 0.35712*0.8498 = 0.1084 in2 Area = A1 + A2 + A41 = 1.5842 + 0.5177 + 0.1084 = 2.2103 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.0501 in Wall thickness per UG-45(b)(2): tr2 = 0.053 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. 2/10/2007 10:33:19 AM 186/368
- 188. External Pressure, (Corroded& at 325.00°F) UG-28(c) L/Do = 16.2438/14.0000 = 1.1603 Do/t = 14.0000/0.050076 = 279.5775 From table G: A = 0.000246 From table HA-3: B = 3231.8762 psi Pa = 4*B/(3*(Do/t)) = 4*3231.8762/(3*(14.0000/0.050076)) = 15.4131 psi Design thickness for external pressure Pa = 15.4131 psi = t + Corrosion = 0.050076 + 0.0000 = 0.0501" 2/10/2007 10:33:19 AM 187/368
- 189. Condensate Nozzle (N2.2) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.6250 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.4625 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 8" Sch 80S (XS) Flange description: 8 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.3249 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 180° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 145.5 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 7.625 in Nozzle nominal wall thickness: 0.5 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 188/368
- 190. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 56.38 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.5099 1.5101 0.4023 0.7758 -- -- 0.3320 0.1942 0.4375 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.4375 weld size is adequate Calculations for internal pressure 56.38 psi @ 325 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 7.625 in Parallel to the vessel user defined: = 5 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 56.3837*3.8125/((14000/0.85)*1 - 0.6*56.3837) = 0.0131 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 56.3837*56.625/(16475*1 - 0.6*56.3837) = 0.1942 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = d*tr*F + 2*tn*tr*F*(1 - fr1) 2/10/2007 10:33:19 AM 189/368
- 191. = 7.625*0.1942*1 + 2*0.5*0.1942*1*(1 - 0.8498) = 1.5099 in2 Area available from FIG. UG-37.1 A1: (specified limit governs) = 0.4023 in2 = (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = (2*5 - 7.625)*(1*0.375 - 1*0.1942) - 2*0.5*(1*0.375 - 1*0.1942)*(1 - 0.8498) = 0.4023 in2 A2 = smaller of the following= 0.7758 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0131)*0.8498*0.375 = 0.7758 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0131)*0.8498*0.5 = 1.0344 in2 A41 = Leg2*fr2 = 0.6252*0.8498 = 0.332 in2 Area = A1 + A2 + A41 = 0.4023 + 0.7758 + 0.332 = 1.5101 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.625 = 0.4375 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0154 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.1942 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2818 in The greater of tr2 or tr3: tr5 = 0.1942 in The lesser of tr4 or tr5: tr6 = 0.1942 in 2/10/2007 10:33:19 AM 190/368
- 192. Required per UG-45is the larger of tr1 or tr6 = 0.1942 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 57.14 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.5093 1.5109 0.4025 0.7763 -- -- 0.3321 0.1941 0.4375 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.4375 weld size is adequate Calculations for internal pressure 57.14 psi @ 70 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 7.625 in Parallel to the vessel user defined: = 5 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 57.1358*3.8125/((14200/0.85)*1 - 0.6*57.1358) = 0.0131 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 57.1358*56.625/(16700*1 - 0.6*57.1358) = 0.1941 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700 psi 2/10/2007 10:33:19 AM 191/368
- 193. fr1 = lesserof 1 or Sn/Sv = 0.8503 fr2 = lesser of 1 or Sn/Sv = 0.8503 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 7.625*0.1941*1 + 2*0.5*0.1941*1*(1 - 0.8503) = 1.5093 in2 Area available from FIG. UG-37.1 A1: (specified limit governs) = 0.4025 in2 = (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = (2*5 - 7.625)*(1*0.375 - 1*0.1941) - 2*0.5*(1*0.375 - 1*0.1941)*(1 - 0.8503) = 0.4025 in2 A2 = smaller of the following= 0.7763 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0131)*0.8503*0.375 = 0.7763 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0131)*0.8503*0.5 = 1.035 in2 A41 = Leg2*fr2 = 0.6252*0.8503 = 0.3321 in2 Area = A1 + A2 + A41 = 0.4025 + 0.7763 + 0.3321 = 1.5109 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.625 = 0.4375 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0154 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.1941 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2818 in The greater of tr2 or tr3: tr5 = 0.1941 in The lesser of tr4 or tr5: tr6 = 0.1941 in 2/10/2007 10:33:19 AM 192/368
- 194. Required per UG-45is the larger of tr1 or tr6 = 0.1941 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 15.3 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.2171 1.2172 0.1378 0.7474 -- -- 0.3320 0.0625 0.4375 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.4375 weld size is adequate Calculations for external pressure 15.3 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 7.625 in Parallel to the vessel user defined: = 5 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.031 in From UG-37(d)(1) required thickness tr = 0.3131 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(7.625*0.3131*1 + 2*0.5*0.3131*1*(1 - 0.8498)) = 1.2171 in2 Area available from FIG. UG-37.1 A1: (specified limit governs) = 0.1378 in2 2/10/2007 10:33:19 AM 193/368
- 195. = (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = (2*5 - 7.625)*(1*0.375 - 1*0.3131) - 2*0.5*(1*0.375 - 1*0.3131)*(1 - 0.8498) = 0.1378 in2 A2 = smaller of the following= 0.7474 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.031)*0.8498*0.375 = 0.7474 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.031)*0.8498*0.5 = 0.9965 in2 A41 = Leg2*fr2 = 0.6252*0.8498 = 0.332 in2 Area = A1 + A2 + A41 = 0.1378 + 0.7474 + 0.332 = 1.2172 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.625 = 0.4375 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.031 in Wall thickness per UG-45(b)(2): tr2 = 0.0526 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2818 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.1634/8.6250 = 1.1784 Do/t = 8.6250/0.030955 = 278.6328 From table G: A = 0.000243 From table HA-3: B = 3197.2842 psi 2/10/2007 10:33:19 AM 194/368
- 196. Pa = 4*B/(3*(Do/t)) = 4*3197.2842/(3*(8.6250/0.030955)) = 15.2999 psi Design thickness for external pressure Pa = 15.2999 psi = t + Corrosion = 0.030955 + 0.0000 = 0.0310" 2/10/2007 10:33:19 AM 195/368
- 197. Condensate Outlet (N2.1) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.6250 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.4625 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 8" Sch 80S (XS) Flange description: 8 inch Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1973546) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.3249 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 0° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 145.5 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 7.625 in Nozzle nominal wall thickness: 0.5 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 196/368
- 198. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 56.38 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.5099 1.5101 0.4023 0.7758 -- -- 0.3320 0.1942 0.4375 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.4375 weld size is adequate Calculations for internal pressure 56.38 psi @ 325 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 7.625 in Parallel to the vessel user defined: = 5 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 56.3837*3.8125/((14000/0.85)*1 - 0.6*56.3837) = 0.0131 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 56.3837*56.625/(16475*1 - 0.6*56.3837) = 0.1942 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = d*tr*F + 2*tn*tr*F*(1 - fr1) 2/10/2007 10:33:19 AM 197/368
- 199. = 7.625*0.1942*1 + 2*0.5*0.1942*1*(1 - 0.8498) = 1.5099 in2 Area available from FIG. UG-37.1 A1: (specified limit governs) = 0.4023 in2 = (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = (2*5 - 7.625)*(1*0.375 - 1*0.1942) - 2*0.5*(1*0.375 - 1*0.1942)*(1 - 0.8498) = 0.4023 in2 A2 = smaller of the following= 0.7758 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0131)*0.8498*0.375 = 0.7758 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0131)*0.8498*0.5 = 1.0344 in2 A41 = Leg2*fr2 = 0.6252*0.8498 = 0.332 in2 Area = A1 + A2 + A41 = 0.4023 + 0.7758 + 0.332 = 1.5101 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.625 = 0.4375 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0154 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.1942 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2818 in The greater of tr2 or tr3: tr5 = 0.1942 in The lesser of tr4 or tr5: tr6 = 0.1942 in 2/10/2007 10:33:19 AM 198/368
- 200. Required per UG-45is the larger of tr1 or tr6 = 0.1942 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 57.14 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.5093 1.5109 0.4025 0.7763 -- -- 0.3321 0.1941 0.4375 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.4375 weld size is adequate Calculations for internal pressure 57.14 psi @ 70 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 7.625 in Parallel to the vessel user defined: = 5 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 57.1358*3.8125/((14200/0.85)*1 - 0.6*57.1358) = 0.0131 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 57.1358*56.625/(16700*1 - 0.6*57.1358) = 0.1941 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700 psi 2/10/2007 10:33:19 AM 199/368
- 201. fr1 = lesserof 1 or Sn/Sv = 0.8503 fr2 = lesser of 1 or Sn/Sv = 0.8503 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 7.625*0.1941*1 + 2*0.5*0.1941*1*(1 - 0.8503) = 1.5093 in2 Area available from FIG. UG-37.1 A1: (specified limit governs) = 0.4025 in2 = (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = (2*5 - 7.625)*(1*0.375 - 1*0.1941) - 2*0.5*(1*0.375 - 1*0.1941)*(1 - 0.8503) = 0.4025 in2 A2 = smaller of the following= 0.7763 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0131)*0.8503*0.375 = 0.7763 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0131)*0.8503*0.5 = 1.035 in2 A41 = Leg2*fr2 = 0.6252*0.8503 = 0.3321 in2 Area = A1 + A2 + A41 = 0.4025 + 0.7763 + 0.3321 = 1.5109 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.625 = 0.4375 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0154 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.1941 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2818 in The greater of tr2 or tr3: tr5 = 0.1941 in The lesser of tr4 or tr5: tr6 = 0.1941 in 2/10/2007 10:33:19 AM 200/368
- 202. Required per UG-45is the larger of tr1 or tr6 = 0.1941 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 15.3 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.2171 1.2172 0.1378 0.7474 -- -- 0.3320 0.0625 0.4375 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.4375 weld size is adequate Calculations for external pressure 15.3 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 7.625 in Parallel to the vessel user defined: = 5 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.031 in From UG-37(d)(1) required thickness tr = 0.3131 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(7.625*0.3131*1 + 2*0.5*0.3131*1*(1 - 0.8498)) = 1.2171 in2 Area available from FIG. UG-37.1 A1: (specified limit governs) = 0.1378 in2 2/10/2007 10:33:19 AM 201/368
- 203. = (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = (2*5 - 7.625)*(1*0.375 - 1*0.3131) - 2*0.5*(1*0.375 - 1*0.3131)*(1 - 0.8498) = 0.1378 in2 A2 = smaller of the following= 0.7474 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.031)*0.8498*0.375 = 0.7474 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.031)*0.8498*0.5 = 0.9965 in2 A41 = Leg2*fr2 = 0.6252*0.8498 = 0.332 in2 Area = A1 + A2 + A41 = 0.1378 + 0.7474 + 0.332 = 1.2172 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.625 = 0.4375 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.031 in Wall thickness per UG-45(b)(2): tr2 = 0.0526 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.2818 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.1634/8.6250 = 1.1784 Do/t = 8.6250/0.030955 = 278.6328 From table G: A = 0.000243 From table HA-3: B = 3197.2842 psi 2/10/2007 10:33:19 AM 202/368
- 204. Pa = 4*B/(3*(Do/t)) = 4*3197.2842/(3*(8.6250/0.030955)) = 15.2999 psi Design thickness for external pressure Pa = 15.2999 psi = t + Corrosion = 0.030955 + 0.0000 = 0.0310" 2/10/2007 10:33:19 AM 203/368
- 205. Juice Inlet (N8) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.0000 in Leg41 = 0.3750 in Leg43 = 0.3750 in hnew = 1.0000 in Note: round inside edges per UG-76(c) Located on: Rear Channel Liquid static head included: 2.1392 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 10" Sch 80S (XS) Flange description: 10 inch Class 150 SO A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1822653) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 1.9456 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 180° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 16 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 9.75 in Nozzle nominal wall thickness: 0.5 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 204/368
- 206. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 80.23 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.7379 2.7396 0.9451 0.7588 0.7967 -- 0.2390 0.2765 0.4375 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 W W1-1 strength W2-2 strength 30,914.73 14,469.99 122,332.64 34,814.35 86,878.78 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) weld size is Nozzle to shell fillet (Leg41) 0.2500 0.2625 adequate 0.2625 weld size is Nozzle to inside shell fillet (Leg43) 0.2500 adequate (corroded) Calculations for internal pressure 80.23 psi @ 325 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 9.75 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 80.2268*4.875/((14000/0.85)*1 - 0.6*80.2268) = 0.0238 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 80.2268*56.625/(16475*1 - 0.6*80.2268) = 0.2766 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475 psi 2/10/2007 10:33:19 AM 205/368
- 207. fr1 = lesserof 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 9.75*0.2766*1 + 2*0.5*0.2766*1*(1 - 0.8498) = 2.7379 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.9451 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 9.75*(1*0.375 - 1*0.2766) - 2*0.5*(1*0.375 - 1*0.2766)*(1 - 0.8498) = 0.9451 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.5)*(1*0.375 - 1*0.2766) - 2*0.5*(1*0.375 - 1*0.2766)*(1 - 0.8498) = 0.1575 in2 A2 = smaller of the following= 0.7588 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0238)*0.8498*0.375 = 0.7588 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0238)*0.8498*0.5 = 1.0117 in2 A3 = smaller of the following= 0.7967 in2 = 5*t*ti*fr2 = 5*0.375*0.5*0.8498 = 0.7967 in2 = 5*ti*ti*fr2 = 5*0.5*0.5*0.8498 = 1.0623 in2 = 2*h*ti*fr2 = 2*1*0.5*0.8498 = 0.8498 in2 A41 = Leg2*fr2 = 0.3752*0.8498 = 0.1195 in2 A43 = Leg2*fr2 = 0.3752*0.8498 = 0.1195 in2 Area = A1 + A2 + A3 + A41 + A43 = 0.9451 + 0.7588 + 0.7967 + 0.1195 + 0.1195 2/10/2007 10:33:19 AM 206/368
- 208. = 2.7396 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check tmin = lesser of 0.75 or tn or t = 0.375 in t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.25 in t1(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t1 is satisfactory. t2(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t2 is satisfactory. t1 + t2 = 0.525 >= 1.25*tmin The combined weld sizes for t1 and t2 are satisfactory. UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.028 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2765 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3194 in The greater of tr2 or tr3: tr5 = 0.2765 in The lesser of tr4 or tr5: tr6 = 0.2765 in Required per UG-45 is the larger of tr1 or tr6 = 0.2765 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Nozzle wall in shear: 0.7*14000 = 9800 psi Inner fillet weld in shear: 0.49*14000 = 6860 psi Lower fillet weld in shear: 0.49*14000 = 6860 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*10.75*0.375*6860 = 43439.39 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*10.25*0.5*9800 = 78893.25 lbf (5) Lower fillet weld in shear (π/2)*Nozzle OD*Leg*Sl = (π/2)*10.75*0.375*6860 = 43439.39 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (2.7379 - 0.9451 + 2*0.5*0.8498*(1*0.375 - 1*0.2766))*16475 = 30914.73 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.7588 + 0 + 0.1195 + 0)*16475 = 14469.99 lbf 2/10/2007 10:33:19 AM 207/368
- 209. W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.7588 + 0.7967 + 0.1195 + 0.1195 + 2*0.5*0.375*0.8498)*16475 = 34814.35 lbf 2/10/2007 10:33:19 AM 208/368
- 210. Load for path1-1 lesser of W or W1-1 = 14469.99 lbf Path 1-1 through (1) & (3) = 43439.39 + 78893.25 = 122332.6 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 30914.73 lbf Path 2-2 through (1), (5) = 43439.39 + 43439.39 = 86878.78 lbf Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 81.35 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.7388 2.7398 0.9442 0.7592 0.7972 -- 0.2392 0.2766 0.4375 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 W W1-1 strength W2-2 strength 31,365.59 14,675.96 124,080.25 35,310.79 88,119.91 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) weld size is Nozzle to shell fillet (Leg41) 0.2500 0.2625 adequate 0.2625 weld size is Nozzle to inside shell fillet (Leg43) 0.2500 adequate (corroded) Calculations for internal pressure 81.35 psi @ 70 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 9.75 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 81.3519*4.875/((14200/0.85)*1 - 0.6*81.3519) = 0.0238 in Required thickness tr from UG-37(a) 2/10/2007 10:33:19 AM 209/368
- 211. tr = P*R/(S*E - 0.6*P) = 81.3519*56.625/(16700*1 - 0.6*81.3519) = 0.2767 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 fr2 = lesser of 1 or Sn/Sv = 0.8503 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 9.75*0.2767*1 + 2*0.5*0.2767*1*(1 - 0.8503) = 2.7388 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.9442 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 9.75*(1*0.375 - 1*0.2767) - 2*0.5*(1*0.375 - 1*0.2767)*(1 - 0.8503) = 0.9442 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.5)*(1*0.375 - 1*0.2767) - 2*0.5*(1*0.375 - 1*0.2767)*(1 - 0.8503) = 0.1574 in2 A2 = smaller of the following= 0.7592 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0238)*0.8503*0.375 = 0.7592 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0238)*0.8503*0.5 = 1.0123 in2 A3 = smaller of the following= 0.7972 in2 = 5*t*ti*fr2 = 5*0.375*0.5*0.8503 = 0.7972 in2 = 5*ti*ti*fr2 = 5*0.5*0.5*0.8503 = 1.0629 in2 = 2*h*ti*fr2 = 2*1*0.5*0.8503 = 0.8503 in2 A41 = Leg2*fr2 = 0.3752*0.8503 = 0.1196 in2 2/10/2007 10:33:19 AM 210/368
- 212. A43 = Leg2*fr2 = 0.3752*0.8503 = 0.1196 in2 Area = A1 + A2 + A3 + A41 + A43 = 0.9442 + 0.7592 + 0.7972 + 0.1196 + 0.1196 = 2.7398 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check tmin = lesser of 0.75 or tn or t = 0.375 in t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.25 in t1(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t1 is satisfactory. t2(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t2 is satisfactory. t1 + t2 = 0.525 >= 1.25*tmin The combined weld sizes for t1 and t2 are satisfactory. UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.028 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2766 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3194 in The greater of tr2 or tr3: tr5 = 0.2766 in The lesser of tr4 or tr5: tr6 = 0.2766 in Required per UG-45 is the larger of tr1 or tr6 = 0.2766 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Nozzle wall in shear: 0.7*14200 = 9940 psi Inner fillet weld in shear: 0.49*14200 = 6958 psi Lower fillet weld in shear: 0.49*14200 = 6958 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*10.75*0.375*6958 = 44059.95 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*10.25*0.5*9940 = 80020.3 lbf (5) Lower fillet weld in shear (π/2)*Nozzle OD*Leg*Sl = (π/2)*10.75*0.375*6958 = 44059.95 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv 2/10/2007 10:33:19 AM 211/368
- 213. = (2.7388 - 0.9442 + 2*0.5*0.8503*(1*0.375 - 1*0.2767))*16700 = 31365.59 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.7592 + 0 + 0.1196 + 0)*16700 = 14675.96 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.7592 + 0.7972 + 0.1196 + 0.1196 + 2*0.5*0.375*0.8503)*16700 = 35310.79 lbf 2/10/2007 10:33:19 AM 212/368
- 214. Load for path1-1 lesser of W or W1-1 = 14675.96 lbf Path 1-1 through (1) & (3) = 44059.95 + 80020.3 = 124080.3 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 31365.59 lbf Path 2-2 through (1), (5) = 44059.95 + 44059.95 = 88119.91 lbf Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 16.93 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.8281 1.8282 0.0546 0.7379 0.7967 -- 0.2390 0.0625 0.4375 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) weld size is Nozzle to shell fillet (Leg41) 0.2500 0.2625 adequate 0.2625 weld size is Nozzle to inside shell fillet (Leg43) 0.2500 adequate (corroded) Calculations for external pressure 16.93 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 9.75 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.0369 in From UG-37(d)(1) required thickness tr = 0.3693 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) 2/10/2007 10:33:19 AM 213/368
- 215. = 0.5*(9.75*0.3693*1 + 2*0.5*0.3693*1*(1 - 0.8498)) = 1.8281 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.0546 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 9.75*(1*0.375 - 1*0.3693) - 2*0.5*(1*0.375 - 1*0.3693)*(1 - 0.8498) = 0.0546 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.5)*(1*0.375 - 1*0.3693) - 2*0.5*(1*0.375 - 1*0.3693)*(1 - 0.8498) = 0.0091 in2 A2 = smaller of the following= 0.7379 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0369)*0.8498*0.375 = 0.7379 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0369)*0.8498*0.5 = 0.9839 in2 A3 = smaller of the following= 0.7967 in2 = 5*t*ti*fr2 = 5*0.375*0.5*0.8498 = 0.7967 in2 = 5*ti*ti*fr2 = 5*0.5*0.5*0.8498 = 1.0623 in2 = 2*h*ti*fr2 = 2*1*0.5*0.8498 = 0.8498 in2 A41 = Leg2*fr2 = 0.3752*0.8498 = 0.1195 in2 A43 = Leg2*fr2 = 0.3752*0.8498 = 0.1195 in2 Area = A1 + A2 + A3 + A41 + A43 = 0.0546 + 0.7379 + 0.7967 + 0.1195 + 0.1195 = 1.8282 in2 As Area >= A the reinforcement is adequate. 2/10/2007 10:33:19 AM 214/368
- 216. UW-16(d) Weld Check tmin= lesser of 0.75 or tn or t = 0.375 in t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.25 in t1(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t1 is satisfactory. t2(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in The weld size t2 is satisfactory. t1 + t2 = 0.525 >= 1.25*tmin The combined weld sizes for t1 and t2 are satisfactory. UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0369 in Wall thickness per UG-45(b)(2): tr2 = 0.0582 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3194 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.2540/10.7500 = 0.9539 Do/t = 10.7500/0.036896 = 291.3564 From table G: A = 0.000282 From table HA-3: B = 3698.9851 psi Pa = 4*B/(3*(Do/t)) = 4*3698.9851/(3*(10.7500/0.036896)) = 16.9277 psi Design thickness for external pressure Pa = 16.9277 psi = t + Corrosion = 0.036896 + 0.0000 = 0.0369" 2/10/2007 10:33:19 AM 215/368
- 217. Juice Outlet (N7) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.4375 in Leg41 = 0.3571 in Note: round inside edges per UG-76(c) Located on: Rear Channel Head Liquid static head included: 4.2064 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 10" Sch 80S (XS) Flange description: 10 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 4.2238 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 0° Calculated as hillside: no Local vessel minimum thickness: 0.4375 in End of nozzle to datum line: -41.375 in Nozzle inside diameter, new: 9.75 in Nozzle nominal wall thickness: 0.5 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 11.2528 in Distance to head center, R: 0 in 2/10/2007 10:33:19 AM 216/368
- 218. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 85.94 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.6332 2.6372 1.6467 0.8821 -- -- 0.1084 0.2955 0.4375 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.2500 weld size is adequate Calculations for internal pressure 85.94 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.04263). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 9.75 in Normal to the vessel wall outside: 2.5*(t - C) = 1.0938 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 85.9378*4.875/((14000/0.85)*1 - 0.6*85.9378) = 0.0255 in Required thickness tr from UG-37(a)(c) tr = P*K1*D/(2*S*E - 0.2*P) = 85.9378*0.9*113.25/(2*16475*1 - 0.2*85.9378) = 0.266 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 9.75*0.266*1 + 2*0.5*0.266*1*(1 - 0.8498) = 2.6332 in2 2/10/2007 10:33:19 AM 217/368
- 219. Area available fromFIG. UG-37.1 A1 = larger of the following= 1.6467 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 9.75*(1*0.4375 - 1*0.266) - 2*0.5*(1*0.4375 - 1*0.266)*(1 - 0.8498) = 1.6467 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.4375 + 0.5)*(1*0.4375 - 1*0.266) - 2*0.5*(1*0.4375 - 1*0.266)*(1 - 0.8498) = 0.2959 in2 A2 = smaller of the following= 0.8821 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0255)*0.8498*0.4375 = 0.8821 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0255)*0.8498*0.5 = 1.0081 in2 A41 = Leg2*fr2 = 0.35712*0.8498 = 0.1084 in2 Area = A1 + A2 + A41 = 1.6467 + 0.8821 + 0.1084 = 2.6372 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.4375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.03 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2955 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3194 in The greater of tr2 or tr3: tr5 = 0.2955 in The lesser of tr4 or tr5: tr6 = 0.2955 in 2/10/2007 10:33:19 AM 218/368
- 220. Required per UG-45is the larger of tr1 or tr6 = 0.2955 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 87.12 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.6333 2.6375 1.6465 0.8826 -- -- 0.1084 0.2956 0.4375 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(1) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.2500 weld size is adequate Calculations for internal pressure 87.12 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.04263). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 9.75 in Normal to the vessel wall outside: 2.5*(t - C) = 1.0938 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 87.1212*4.875/((14200/0.85)*1 - 0.6*87.1212) = 0.0255 in Required thickness tr from UG-37(a)(c) tr = P*K1*D/(2*S*E - 0.2*P) = 87.1212*0.9*113.25/(2*16700*1 - 0.2*87.1212) = 0.266 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 2/10/2007 10:33:19 AM 219/368
- 221. fr2 = lesserof 1 or Sn/Sv = 0.8503 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 9.75*0.266*1 + 2*0.5*0.266*1*(1 - 0.8503) = 2.6333 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.6465 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 9.75*(1*0.4375 - 1*0.266) - 2*0.5*(1*0.4375 - 1*0.266)*(1 - 0.8503) = 1.6465 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.4375 + 0.5)*(1*0.4375 - 1*0.266) - 2*0.5*(1*0.4375 - 1*0.266)*(1 - 0.8503) = 0.2959 in2 A2 = smaller of the following= 0.8826 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.0255)*0.8503*0.4375 = 0.8826 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.0255)*0.8503*0.5 = 1.0087 in2 A41 = Leg2*fr2 = 0.35712*0.8503 = 0.1084 in2 Area = A1 + A2 + A41 = 1.6465 + 0.8826 + 0.1084 = 2.6375 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.4375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.03 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2956 in Wall thickness per UG-16(b): tr3 = 0.0625 in 2/10/2007 10:33:19 AM 220/368
- 222. Standard wall pipeper UG-45(b)(4): tr4 = 0.3194 in The greater of tr2 or tr3: tr5 = 0.2956 in The lesser of tr4 or tr5: tr6 = 0.2956 in 2/10/2007 10:33:19 AM 221/368
- 223. Required per UG-45is the larger of tr1 or tr6 = 0.2956 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 17.73 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.7573 1.7574 0.7919 0.8571 -- -- 0.1084 0.0625 0.4375 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.2500 0.2500 weld size is adequate Calculations for external pressure 17.73 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 9.75 in Normal to the vessel wall outside: 2.5*(t - C) = 1.0938 in Nozzle required thickness per UG-28 trn = 0.039 in From UG-37(d)(1) required thickness tr = 0.355 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(9.75*0.355*1 + 2*0.5*0.355*1*(1 - 0.8498)) = 1.7573 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.7919 in2 2/10/2007 10:33:19 AM 222/368
- 224. = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 9.75*(1*0.4375 - 1*0.355) - 2*0.5*(1*0.4375 - 1*0.355)*(1 - 0.8498) = 0.7919 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.4375 + 0.5)*(1*0.4375 - 1*0.355) - 2*0.5*(1*0.4375 - 1*0.355)*(1 - 0.8498) = 0.1423 in2 A2 = smaller of the following= 0.8571 in2 = 5*(tn - trn)*fr2*t = 5*(0.5 - 0.039)*0.8498*0.4375 = 0.8571 in2 = 5*(tn - trn)*fr2*tn = 5*(0.5 - 0.039)*0.8498*0.5 = 0.9795 in2 A41 = Leg2*fr2 = 0.35712*0.8498 = 0.1084 in2 Area = A1 + A2 + A41 = 0.7919 + 0.8571 + 0.1084 = 1.7574 in2 As Area >= A the reinforcement is adequate. UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.4375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. Wall thickness per UG-45(a): tr1 = 0.039 in Wall thickness per UG-45(b)(2): tr2 = 0.0609 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3194 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.5 = 0.4375 in The nozzle neck thickness is adequate. 2/10/2007 10:33:19 AM 223/368
- 225. External Pressure, (Corroded& at 325.00°F) UG-28(c) L/Do = 11.2528/10.7500 = 1.0468 Do/t = 10.7500/0.038951 = 275.9845 From table G: A = 0.000279 From table HA-3: B = 3669.5645 psi Pa = 4*B/(3*(Do/t)) = 4*3669.5645/(3*(10.7500/0.038951)) = 17.7284 psi Design thickness for external pressure Pa = 17.7284 psi = t + Corrosion = 0.038951 + 0.0000 = 0.0390" 2/10/2007 10:33:19 AM 224/368
- 226. Lower Level Connection(N9.2) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.2160 in Note: round inside edges per UG-76(c) Located on: Circulation Juice Outlet (N4) Liquid static head included: 3.8675 psi Nozzle material specification: SA-249 TP304L Wld tube (II-D p. 78, ln. 32) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 3" Sch 40S (Std) Flange description: 3 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 3.8066 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 180° Local vessel minimum thickness: 0.3281 in Nozzle center line offset to face of parent nozzle: 10.375 in End of nozzle to shell center: 17 in Nozzle inside diameter, new: 3.068 in Nozzle nominal wall thickness: 0.216 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 225/368
- 227. Reinforcement Calculations forInternal Pressure The attached ASME B16.5 flange limits the nozzle MAWP. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 171.31 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.0852 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 171.31 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.03086). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 171.3109*1.534/((14000/0.85)*1 - 0.6*171.3109) = 0.0161 in Required thickness tr from UG-37(a) tr = P*Ro/(S*E + 0.4*P) = 171.3109*7/(14000*1 + 0.4*171.3109) = 0.0852 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. 2/10/2007 10:33:19 AM 226/368
- 228. Weld strength calculationsare not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0189 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.0852 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.0852 in The lesser of tr4 or tr5: tr6 = 0.0852 in 2/10/2007 10:33:19 AM 227/368
- 229. Required per UG-45is the larger of tr1 or tr6 = 0.0852 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP The attached ASME B16.5 flange limits the nozzle MAP. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 230 psi @ 70 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1127 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 230 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.03086). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 230*1.534/((14200/0.85)*1 - 0.6*230) = 0.0213 in Required thickness tr from UG-37(a) tr = P*Ro/(S*E + 0.4*P) = 230*7/(14200*1 + 0.4*230) = 0.1127 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check 2/10/2007 10:33:19 AM 228/368
- 230. Fillet weld: tmin= lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0251 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.1127 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.1127 in The lesser of tr4 or tr5: tr6 = 0.1127 in 2/10/2007 10:33:19 AM 229/368
- 231. Required per UG-45is the larger of tr1 or tr6 = 0.1127 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For Pe = 15.41 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.0625 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for external pressure 15.41 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-28 trn = 0.0184 in From UG-37(d)(1) required thickness tr = 0.0501 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check 2/10/2007 10:33:19 AM 230/368
- 232. Wall thickness perUG-45(a): tr1 = 0.0184 in Wall thickness per UG-45(b)(2): tr2 = 0.0077 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.2223/3.5000 = 2.9207 Do/t = 3.5000/0.018355 = 190.6798 From table G: A = 0.000168 From table HA-3: B = 2204.3269 psi Pa = 4*B/(3*(Do/t)) = 4*2204.3269/(3*(3.5000/0.018355)) = 15.4138 psi Design thickness for external pressure Pa = 15.4138 psi = t + Corrosion = 0.018355 + 0.0000 = 0.0184" 2/10/2007 10:33:19 AM 231/368
- 233. Spray Nozzle Inlet(N10.1) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.2160 in Note: round inside edges per UG-76(c) Located on: Rear Channel Liquid static head included: 0.8948 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 3" Sch 40S (Std) Flange description: 3 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.8338 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 90° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 44 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.068 in Nozzle nominal wall thickness: 0.216 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 232/368
- 234. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 108.66 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 108.66 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02915). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 108.6642*1.534/((14000/0.85)*1 - 0.6*108.6642) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 108.6642*56.625/(16475*1 - 0.6*108.6642) = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. 2/10/2007 10:33:19 AM 233/368
- 235. Weld strength calculationsare not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.375 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.375 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 234/368
- 236. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 110.12 psi @ 70 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 110.12 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02915). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 110.1227*1.534/((14200/0.85)*1 - 0.6*110.1227) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 110.1227*56.625/(16700*1 - 0.6*110.1227) = 0.3749 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check 2/10/2007 10:33:19 AM 235/368
- 237. Fillet weld: tmin= lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3749 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3749 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 236/368
- 238. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For Pe = 17.48 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.0625 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for external pressure 17.48 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-28 trn = 0.0191 in From UG-37(d)(1) required thickness tr = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check 2/10/2007 10:33:19 AM 237/368
- 239. Wall thickness perUG-45(a): tr1 = 0.0191 in Wall thickness per UG-45(b)(2): tr2 = 0.0601 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.0269/3.5000 = 2.8648 Do/t = 3.5000/0.019074 = 183.4998 From table G: A = 0.000183 From table HA-3: B = 2406.1179 psi Pa = 4*B/(3*(Do/t)) = 4*2406.1179/(3*(3.5000/0.019074)) = 17.4832 psi Design thickness for external pressure Pa = 17.4832 psi = t + Corrosion = 0.019074 + 0.0000 = 0.0191" 2/10/2007 10:33:19 AM 238/368
- 240. Spray Nozzle Inlet(N10.2) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.2160 in Note: round inside edges per UG-76(c) Located on: Rear Channel Liquid static head included: 0.8948 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 3" Sch 40S (Std) Flange description: 3 inch Class 150 WN A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.8338 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 270° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 44 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.068 in Nozzle nominal wall thickness: 0.216 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 239/368
- 241. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 108.66 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 108.66 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02915). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 108.6642*1.534/((14000/0.85)*1 - 0.6*108.6642) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 108.6642*56.625/(16475*1 - 0.6*108.6642) = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. 2/10/2007 10:33:19 AM 240/368
- 242. Weld strength calculationsare not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.375 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.375 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 241/368
- 243. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 110.12 psi @ 70 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 110.12 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02915). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 110.1227*1.534/((14200/0.85)*1 - 0.6*110.1227) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 110.1227*56.625/(16700*1 - 0.6*110.1227) = 0.3749 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check 2/10/2007 10:33:19 AM 242/368
- 244. Fillet weld: tmin= lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3749 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3749 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 243/368
- 245. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For Pe = 17.48 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.0625 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for external pressure 17.48 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-28 trn = 0.0191 in From UG-37(d)(1) required thickness tr = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check 2/10/2007 10:33:19 AM 244/368
- 246. Wall thickness perUG-45(a): tr1 = 0.0191 in Wall thickness per UG-45(b)(2): tr2 = 0.0601 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.0269/3.5000 = 2.8648 Do/t = 3.5000/0.019074 = 183.4998 From table G: A = 0.000183 From table HA-3: B = 2406.1179 psi Pa = 4*B/(3*(Do/t)) = 4*2406.1179/(3*(3.5000/0.019074)) = 17.4832 psi Design thickness for external pressure Pa = 17.4832 psi = t + Corrosion = 0.019074 + 0.0000 = 0.0191" 2/10/2007 10:33:19 AM 245/368
- 247. Upper Level Sensor(N9.1) ASME Section VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.2160 in Note: round inside edges per UG-76(c) Located on: Rear Channel Liquid static head included: 0.8948 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 3" Sch 40S (Std) Flange description: 3 inch Class 150 SO A182 F304L Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (Per UHA-51(d)(1)(a)) (Flange rated MDMT = -320 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0.8338 psi ASME B16.5 flange rating MAWP: 171.25 psi @ 325°F ASME B16.5 flange rating MAP: 230 psi @ 70°F ASME B16.5 flange hydro test: 350 psi @ 70°F Nozzle orientation: 0° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 44 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 3.068 in Nozzle nominal wall thickness: 0.216 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in 2/10/2007 10:33:19 AM 246/368
- 248. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 108.66 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 108.66 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02915). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 108.6642*1.534/((14000/0.85)*1 - 0.6*108.6642) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 108.6642*56.625/(16475*1 - 0.6*108.6642) = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. 2/10/2007 10:33:19 AM 247/368
- 249. Weld strength calculationsare not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.375 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.375 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 248/368
- 250. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For P = 110.12 psi @ 70 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.1890 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2) UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for internal pressure 110.12 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.02915). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 110.1227*1.534/((14200/0.85)*1 - 0.6*110.1227) = 0.0102 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 110.1227*56.625/(16700*1 - 0.6*110.1227) = 0.3749 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check 2/10/2007 10:33:19 AM 249/368
- 251. Fillet weld: tmin= lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.012 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.3749 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.3749 in The lesser of tr4 or tr5: tr6 = 0.189 in 2/10/2007 10:33:19 AM 250/368
- 252. Required per UG-45is the larger of tr1 or tr6 = 0.189 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary Wall (in2) Thickness For Pe = 17.48 psi @ 325 °F Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds This nozzle is exempt from area 0.0625 0.1890 calculations per UG-36(c)(3)(a) Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to shell fillet (Leg41) 0.1512 0.1512 weld size is adequate Calculations for external pressure 17.48 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 3.068 in Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.54 in Nozzle required thickness per UG-28 trn = 0.0191 in From UG-37(d)(1) required thickness tr = 0.375 in This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 0.75 or tn or t = 0.216 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.1512 in tc(actual) = 0.7*Leg = 0.7*0.216 = 0.1512 in The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check 2/10/2007 10:33:19 AM 251/368
- 253. Wall thickness perUG-45(a): tr1 = 0.0191 in Wall thickness per UG-45(b)(2): tr2 = 0.0601 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.189 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.216 = 0.189 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.0269/3.5000 = 2.8648 Do/t = 3.5000/0.019074 = 183.4998 From table G: A = 0.000183 From table HA-3: B = 2406.1179 psi Pa = 4*B/(3*(Do/t)) = 4*2406.1179/(3*(3.5000/0.019074)) = 17.4832 psi Design thickness for external pressure Pa = 17.4832 psi = t + Corrosion = 0.019074 + 0.0000 = 0.0191" 2/10/2007 10:33:19 AM 252/368
- 254. Vapor By-Pass (N11) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.3750 in Leg41 = 0.3750 in tw(upper) = 0.0000 in Leg42 = 0.2500 in Dp = 16.7500 in te = 0.2500 in Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 12" Sch 40S (Std) Pad material specification: SA-516 70 (II-D p. 14, ln. 20) Pad diameter: 16.75 in Flange description: 12 inch Class 150 SO A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1962146) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 180° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 170.9375 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 12 in Nozzle nominal wall thickness: 0.375 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in Pad is split: yes Pad joint efficiency: 0.7 2/10/2007 10:33:19 AM 253/368
- 255. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 71.26 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.9741 2.9770 1.5389 0.5561 -- 0.7000 0.1820 0.2455 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 25,004.95 23,692.70 124,537.08 15,068.14 143,083.81 27,630.33 144,662.89 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to pad fillet (Leg41) 0.1750 0.2625 weld size is adequate Pad to shell fillet (Leg42) 0.1250 0.1750 weld size is adequate Calculations for internal pressure 71.26 psi @ 325 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 °F Fig UCS-66.1 MDMT reduction = 58 °F, (coincident ratio = 0.50664) Rated MDMT is governed by UCS-66(b)(2). Pad UCS-66 governing thickness: 0.25 in Pad rated MDMT: -55 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 12 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 71.2555*6/((14000/0.85)*1 - 0.6*71.2555) = 0.026 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 71.2555*56.625/(16475*1 - 0.6*71.2555) = 0.2455 in 2/10/2007 10:33:19 AM 254/368
- 256. Area required perUG-37(c) Allowable stresses: Sn = 14000, Sv = 16475, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 fr3 = lesser of fr2 or Sp/Sv = 0.8498 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 12*0.2455*1 + 2*0.375*0.2455*1*(1 - 0.8498) = 2.9741 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.5389 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 12*(1*0.375 - 1*0.2455) - 2*0.375*(1*0.375 - 1*0.2455)*(1 - 0.8498) = 1.5389 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.2455) - 2*0.375*(1*0.375 - 1*0.2455)*(1 - 0.8498) = 0.1796 in2 A2 = smaller of the following= 0.5561 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.026)*0.8498*0.375 = 0.5561 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.026)*(2.5*0.375 + 0.25)*0.8498 = 0.7044 in2 A41 = Leg2*fr3 = 0.3752*0.8498 = 0.1195 in2 A42 = Leg2*fr4 = 0.252*1 = 0.0625 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (16.75 - 12 - 2*0.375)*0.25*1*0.7 = 0.7 in2 Area = A1 + A2 + A41 + A42 + A5 = 1.5389 + 0.5561 + 0.1195 + 0.0625 + 0.7 = 2.977 in2 As Area >= A the reinforcement is adequate. 2/10/2007 10:33:19 AM 255/368
- 257. UW-16(c)(2) Weld Check Innerfillet: tmin = lesser of 0.75 or tn or te = 0.25 in tw(min) = 0.7*tmin = 0.175 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.25 in tw(min) = 0.5*tmin = 0.125 in tw(actual) = 0.7*Leg = 0.7*0.25 = 0.175 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0306 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2455 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2455 in The lesser of tr4 or tr5: tr6 = 0.2455 in Required per UG-45 is the larger of tr1 or tr6 = 0.2455 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Groove weld in tension: 0.74*16475 = 12192 psi Nozzle wall in shear: 0.7*14000 = 9800 psi Inner fillet weld in shear: 0.49*14000 = 6860 psi Outer fillet weld in shear: 0.49*16475 = 8073 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*12.75*0.375*6860 = 51521.14 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*16.75*0.25*8073 = 53100.21 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*12.375*0.375*9800 = 71436.88 lbf (4) Groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*12.75*0.375*12192 = 91562.68 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (2.9741 - 1.5389 + 2*0.375*0.8498*(1*0.375 - 1*0.2455))*16475 = 25004.95 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.5561 + 0.7 + 0.1195 + 0.0625)*16475 = 23692.7 lbf 2/10/2007 10:33:19 AM 256/368
- 258. W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.5561 + 0 + 0.1195 + 0 + 2*0.375*0.375*0.8498)*16475 = 15068.14 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.5561 + 0 + 0.7 + 0.1195 + 0.0625 + 0 + 2*0.375*0.375*0.8498)*16475 = 27630.33 lbf 2/10/2007 10:33:19 AM 257/368
- 259. Load for path1-1 lesser of W or W1-1 = 23692.7 lbf Path 1-1 through (2) & (3) = 53100.21 + 71436.88 = 124537.1 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 15068.14 lbf Path 2-2 through (1), (4) = 51521.14 + 91562.68 = 143083.8 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 25004.95 lbf Path 3-3 through (2), (4) = 53100.21 + 91562.68 = 144662.9 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 72.24 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 2.9747 2.9769 1.5384 0.5564 -- 0.7000 0.1821 0.2456 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 25,363.65 24,022.95 126,282.80 15,282.95 145,070.31 28,016.70 146,638.56 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to pad fillet (Leg41) 0.1750 0.2625 weld size is adequate Pad to shell fillet (Leg42) 0.1250 0.1750 weld size is adequate Calculations for internal pressure 72.24 psi @ 70 °F Nozzle rated MDMT per UHA-51(d)(1)(a) = -320 °F . Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 12 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 72.2424*6/((14200/0.85)*1 - 0.6*72.2424) = 0.026 in 2/10/2007 10:33:19 AM 258/368
- 260. Required thickness trfrom UG-37(a) tr = P*R/(S*E - 0.6*P) = 72.2424*56.625/(16700*1 - 0.6*72.2424) = 0.2456 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 fr2 = lesser of 1 or Sn/Sv = 0.8503 fr3 = lesser of fr2 or Sp/Sv = 0.8503 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 12*0.2456*1 + 2*0.375*0.2456*1*(1 - 0.8503) = 2.9747 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.5384 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 12*(1*0.375 - 1*0.2456) - 2*0.375*(1*0.375 - 1*0.2456)*(1 - 0.8503) = 1.5384 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.2456) - 2*0.375*(1*0.375 - 1*0.2456)*(1 - 0.8503) = 0.1796 in2 A2 = smaller of the following= 0.5564 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.026)*0.8503*0.375 = 0.5564 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.026)*(2.5*0.375 + 0.25)*0.8503 = 0.7048 in2 A41 = Leg2*fr3 = 0.3752*0.8503 = 0.1196 in2 A42 = Leg2*fr4 = 0.252*1 = 0.0625 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (16.75 - 12 - 2*0.375)*0.25*1*0.7 = 0.7 in2 2/10/2007 10:33:19 AM 259/368
- 261. Area = A1 + A2 + A41 + A42 + A5 = 1.5384 + 0.5564 + 0.1196 + 0.0625 + 0.7 = 2.9769 in2 As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.25 in tw(min) = 0.7*tmin = 0.175 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.25 in tw(min) = 0.5*tmin = 0.125 in tw(actual) = 0.7*Leg = 0.7*0.25 = 0.175 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0306 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2456 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2456 in The lesser of tr4 or tr5: tr6 = 0.2456 in Required per UG-45 is the larger of tr1 or tr6 = 0.2456 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Groove weld in tension: 0.74*16700 = 12358 psi Nozzle wall in shear: 0.7*14200 = 9940 psi Inner fillet weld in shear: 0.49*14200 = 6958 psi Outer fillet weld in shear: 0.49*16700 = 8183 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*12.75*0.375*6958 = 52257.16 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*16.75*0.25*8183 = 53825.4 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*12.375*0.375*9940 = 72457.4 lbf (4) Groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*12.75*0.375*12358 = 92813.16 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (2.9747 - 1.5384 + 2*0.375*0.8503*(1*0.375 - 1*0.2456))*16700 = 25363.65 lbf 2/10/2007 10:33:19 AM 260/368
- 262. W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.5564 + 0.7 + 0.1196 + 0.0625)*16700 = 24022.95 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.5564 + 0 + 0.1196 + 0 + 2*0.375*0.375*0.8503)*16700 = 15282.95 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.5564 + 0 + 0.7 + 0.1196 + 0.0625 + 0 + 2*0.375*0.375*0.8503)*16700 = 28016.7 lbf 2/10/2007 10:33:19 AM 261/368
- 263. Load for path1-1 lesser of W or W1-1 = 24022.95 lbf Path 1-1 through (2) & (3) = 53825.4 + 72457.4 = 126282.8 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 15282.95 lbf Path 2-2 through (1), (4) = 52257.16 + 92813.16 = 145070.3 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 25363.65 lbf Path 3-3 through (2), (4) = 53825.4 + 92813.16 = 146638.6 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 17.15 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 1.9818 1.9820 0.5679 0.5321 -- 0.7000 0.1820 0.0625 0.3281 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status throat size (in) throat size (in) Nozzle to pad fillet (Leg41) 0.1750 0.2625 weld size is adequate Pad to shell fillet (Leg42) 0.1250 0.1750 weld size is adequate Calculations for external pressure 17.15 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 12 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.041 in From UG-37(d)(1) required thickness tr = 0.3272 in Area required per UG-37(d)(1) Allowable stresses: Sn = 14000, Sv = 16475, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 fr3 = lesser of fr2 or Sp/Sv = 0.8498 2/10/2007 10:33:19 AM 262/368
- 264. fr4 = lesserof 1 or Sp/Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(12*0.3272*1 + 2*0.375*0.3272*1*(1 - 0.8498)) = 1.9818 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.5679 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 12*(1*0.375 - 1*0.3272) - 2*0.375*(1*0.375 - 1*0.3272)*(1 - 0.8498) = 0.5679 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.3272) - 2*0.375*(1*0.375 - 1*0.3272)*(1 - 0.8498) = 0.0663 in2 A2 = smaller of the following= 0.5321 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.041)*0.8498*0.375 = 0.5321 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.041)*(2.5*0.375 + 0.25)*0.8498 = 0.674 in2 A41 = Leg2*fr3 = 0.3752*0.8498 = 0.1195 in2 A42 = Leg2*fr4 = 0.252*1 = 0.0625 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (16.75 - 12 - 2*0.375)*0.25*1*0.7 = 0.7 in2 Area = A1 + A2 + A41 + A42 + A5 = 0.5679 + 0.5321 + 0.1195 + 0.0625 + 0.7 = 1.982 in2 As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.25 in tw(min) = 0.7*tmin = 0.175 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in 2/10/2007 10:33:19 AM 263/368
- 265. Outer fillet: tmin = lesser of 0.75 or te or t = 0.25 in tw(min) = 0.5*tmin = 0.125 in tw(actual) = 0.7*Leg = 0.7*0.25 = 0.175 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.041 in Wall thickness per UG-45(b)(2): tr2 = 0.059 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.3576/12.7500 = 0.8124 Do/t = 12.7500/0.041049 = 310.6022 From table G: A = 0.000304 From table HA-3: B = 3994.0193 psi Pa = 4*B/(3*(Do/t)) = 4*3994.0193/(3*(12.7500/0.041049)) = 17.1453 psi Design thickness for external pressure Pa = 17.1453 psi = t + Corrosion = 0.041049 + 0.0000 = 0.0410" 2/10/2007 10:33:19 AM 264/368
- 266. Vapor Outlet (N5.1) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.0000 in Leg41 = 0.3571 in tw(upper) = 0.3750 in Leg42 = 0.2679 in Leg43 = 0.3750 in hnew = 1.0000 in Dp = 27.0000 in te = 0.3750 in Note: round inside edges per UG-76(c) Located on: Rear Channel Liquid static head included: 0 psi Nozzle material specification: SA-312 TP304L Wld pipe (II-D p. 78, ln. 36) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 20" Sch 20 (Std) Pad material specification: SA-516 70 (II-D p. 14, ln. 20) Pad diameter: 27 in Flange description: 20 inch Class 150 SO A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1754386) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 45° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 110.875 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 19.25 in Nozzle nominal wall thickness: 0.375 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in Pad is split: yes Pad joint efficiency: 0.7 2/10/2007 10:33:19 AM 265/368
- 267. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 78.62 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 5.2471 5.2493 1.9905 0.5241 0.5975 1.8375 0.2997 0.2710 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 54,744.37 41,876.16 205,011.69 26,170.90 332,135.69 57,626.62 172,540.39 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) Nozzle to pad fillet (Leg41) 0.2500 0.2500 weld size is adequate Pad to shell fillet (Leg42) 0.1875 0.1875 weld size is adequate 0.2625 Nozzle to inside shell fillet (Leg43) 0.2625 weld size is adequate (corroded) Nozzle to pad groove (Upper) 0.3750 0.3750 weld size is adequate Calculations for internal pressure 78.62 psi @ 325 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.10351). Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 °F Fig UCS-66.1 MDMT reduction = 75.8 °F, (coincident ratio = 0.45291) Rated MDMT is governed by UCS-66(b)(2). Pad UCS-66 governing thickness: 0.375 in Pad rated MDMT: -55 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 19.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) = 78.619*9.625/((14000/0.85)*1 - 0.6*78.619) = 0.0461 in Required thickness tr from UG-37(a) 2/10/2007 10:33:19 AM 266/368
- 268. tr = P*R/(S*E - 0.6*P) = 78.619*56.625/(16475*1 - 0.6*78.619) = 0.271 in Area required per UG-37(c) Allowable stresses: Sn = 14000, Sv = 16475, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 fr3 = lesser of fr2 or Sp/Sv = 0.8498 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 19.25*0.271*1 + 2*0.375*0.271*1*(1 - 0.8498) = 5.2471 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.9905 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 19.25*(1*0.375 - 1*0.271) - 2*0.375*(1*0.375 - 1*0.271)*(1 - 0.8498) = 1.9905 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.271) - 2*0.375*(1*0.375 - 1*0.271)*(1 - 0.8498) = 0.1443 in2 A2 = smaller of the following= 0.5241 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0461)*0.8498*0.375 = 0.5241 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.0461)*(2.5*0.375 + 0.375)*0.8498 = 0.7337 in2 A3 = smaller of the following= 0.5975 in2 = 5*t*ti*fr2 = 5*0.375*0.375*0.8498 = 0.5975 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*0.8498 = 0.5975 in2 = 2*h*ti*fr2 = 2*1*0.375*0.8498 = 0.6374 in2 A41 = Leg2*fr3 = 0.35712*0.8498 2/10/2007 10:33:19 AM 267/368
- 269. = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A43 = Leg2*fr2 = 0.3752*0.8498 = 0.1195 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (27 - 19.25 - 2*0.375)*0.375*1*0.7 = 1.8375 in2 Area = A1 + A2 + A3 + A41 + A42 + A43 + A5 = 1.9905 + 0.5241 + 0.5975 + 0.1084 + 0.0718 + 0.1195 + 1.8375 = 5.2493 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in Lower fillet: tmin = lesser of 0.75 or tn or t = 0.375 in tw(min) = 0.7*tmin = 0.2625 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0542 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.271 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.271 in The lesser of tr4 or tr5: tr6 = 0.271 in Required per UG-45 is the larger of tr1 or tr6 = 0.271 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Nozzle wall in shear: 0.7*14000 = 9800 psi Inner fillet weld in shear: 0.49*14000 = 6860 psi 2/10/2007 10:33:19 AM 268/368
- 270. Outer fillet weldin shear: 0.49*16475 = 8073 psi Upper groove weld in tension: 0.74*20000 = 14800 psi Lower fillet weld in shear: 0.49*14000 = 6860 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*20*0.3571*6860 = 76959.79 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*27*0.2679*8073 = 91722.91 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*19.625*0.375*9800 = 113288.8 lbf (5) Lower fillet weld in shear (π/2)*Nozzle OD*Leg*Sl = (π/2)*20*0.375*6860 = 80817.48 lbf (6) Upper groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*20*0.375*14800 = 174358.4 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (5.2471 - 1.9905 + 2*0.375*0.8498*(1*0.375 - 1*0.271))*16475 = 54744.37 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.5241 + 1.8375 + 0.1084 + 0.0718)*16475 = 41876.16 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.5241 + 0.5975 + 0.1084 + 0.1195 + 2*0.375*0.375*0.8498)*16475 = 26170.9 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.5241 + 0.5975 + 1.8375 + 0.1084 + 0.0718 + 0.1195 + 2*0.375*0.375*0.8498)*16475 = 57626.62 lbf 2/10/2007 10:33:19 AM 269/368
- 271. Load for path1-1 lesser of W or W1-1 = 41876.16 lbf Path 1-1 through (2) & (3) = 91722.91 + 113288.8 = 205011.7 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 26170.9 lbf Path 2-2 through (1), (5), (6) = 76959.79 + 80817.48 + 174358.4 = 332135.7 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 54744.37 lbf Path 3-3 through (2), (5) = 91722.91 + 80817.48 = 172540.4 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 79.68 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 5.2462 5.2510 1.9913 0.5245 0.5979 1.8375 0.2998 0.2710 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 55,465.10 42,454.74 207,882.77 26,544.88 334,389.63 58,430.20 174,947.59 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) Nozzle to pad fillet (Leg41) 0.2500 0.2500 weld size is adequate Pad to shell fillet (Leg42) 0.1875 0.1875 weld size is adequate 0.2625 Nozzle to inside shell fillet (Leg43) 0.2625 weld size is adequate (corroded) Nozzle to pad groove (Upper) 0.3750 0.3750 weld size is adequate Calculations for internal pressure 79.68 psi @ 70 °F Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.10351). Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 19.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) 2/10/2007 10:33:19 AM 270/368
- 272. trn = P*Rn/(Sn*E - 0.6*P) = 79.6818*9.625/((14200/0.85)*1 - 0.6*79.6818) = 0.046 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 79.6818*56.625/(16700*1 - 0.6*79.6818) = 0.271 in Area required per UG-37(c) Allowable stresses: Sn = 14200, Sv = 16700, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8503 fr2 = lesser of 1 or Sn/Sv = 0.8503 fr3 = lesser of fr2 or Sp/Sv = 0.8503 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 19.25*0.271*1 + 2*0.375*0.271*1*(1 - 0.8503) = 5.2462 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.9913 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 19.25*(1*0.375 - 1*0.271) - 2*0.375*(1*0.375 - 1*0.271)*(1 - 0.8503) = 1.9913 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.271) - 2*0.375*(1*0.375 - 1*0.271)*(1 - 0.8503) = 0.1444 in2 A2 = smaller of the following= 0.5245 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.046)*0.8503*0.375 = 0.5245 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.046)*(2.5*0.375 + 0.375)*0.8503 = 0.7343 in2 A3 = smaller of the following= 0.5979 in2 = 5*t*ti*fr2 = 5*0.375*0.375*0.8503 = 0.5979 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*0.8503 = 0.5979 in2 = 2*h*ti*fr2 2/10/2007 10:33:19 AM 271/368
- 273. = 2*1*0.375*0.8503 = 0.6377 in2 A41 = Leg2*fr3 = 0.35712*0.8503 = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A43 = Leg2*fr2 = 0.3752*0.8503 = 0.1196 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (27 - 19.25 - 2*0.375)*0.375*1*0.7 = 1.8375 in2 Area = A1 + A2 + A3 + A41 + A42 + A43 + A5 = 1.9913 + 0.5245 + 0.5979 + 0.1084 + 0.0718 + 0.1196 + 1.8375 = 5.251 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in Lower fillet: tmin = lesser of 0.75 or tn or t = 0.375 in tw(min) = 0.7*tmin = 0.2625 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0542 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.271 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.271 in The lesser of tr4 or tr5: tr6 = 0.271 in Required per UG-45 is the larger of tr1 or tr6 = 0.271 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in 2/10/2007 10:33:19 AM 272/368
- 274. The nozzle neckthickness is adequate. Allowable stresses in joints UG-45(c) and UW-15(c) Nozzle wall in shear: 0.7*14200 = 9940 psi Inner fillet weld in shear: 0.49*14200 = 6958 psi Outer fillet weld in shear: 0.49*16700 = 8183 psi Upper groove weld in tension: 0.74*20000 = 14800 psi Lower fillet weld in shear: 0.49*14200 = 6958 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*20*0.3571*6958 = 78059.21 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*27*0.2679*8183 = 92975.58 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*19.625*0.375*9940 = 114907.2 lbf (5) Lower fillet weld in shear (π/2)*Nozzle OD*Leg*Sl = (π/2)*20*0.375*6958 = 81972.01 lbf (6) Upper groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*20*0.375*14800 = 174358.4 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (5.2462 - 1.9913 + 2*0.375*0.8503*(1*0.375 - 1*0.271))*16700 = 55465.1 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.5245 + 1.8375 + 0.1084 + 0.0718)*16700 = 42454.74 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.5245 + 0.5979 + 0.1084 + 0.1196 + 2*0.375*0.375*0.8503)*16700 = 26544.88 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.5245 + 0.5979 + 1.8375 + 0.1084 + 0.0718 + 0.1196 + 2*0.375*0.375*0.8503)*16700 = 58430.2 lbf 2/10/2007 10:33:19 AM 273/368
- 275. Load for path1-1 lesser of W or W1-1 = 42454.74 lbf Path 1-1 through (2) & (3) = 92975.58 + 114907.2 = 207882.8 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 26544.88 lbf Path 2-2 through (1), (5), (6) = 78059.21 + 81972.01 + 174358.4 = 334389.6 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 55465.1 lbf Path 3-3 through (2), (5) = 92975.58 + 81972.01 = 174947.6 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 16.19 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 3.5018 3.5021 0.2543 0.5131 0.5975 1.8375 0.2997 0.0625 0.3281 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) Nozzle to pad fillet (Leg41) 0.2500 0.2500 weld size is adequate Pad to shell fillet (Leg42) 0.1875 0.1875 weld size is adequate 0.2625 Nozzle to inside shell fillet (Leg43) 0.2625 weld size is adequate (corroded) Nozzle to pad groove (Upper) 0.3750 0.3750 weld size is adequate Calculations for external pressure 16.19 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 19.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.053 in From UG-37(d)(1) required thickness tr = 0.3617 in Area required per UG-37(d)(1) 2/10/2007 10:33:19 AM 274/368
- 276. Allowable stresses: Sn= 14000, Sv = 16475, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 0.8498 fr2 = lesser of 1 or Sn/Sv = 0.8498 fr3 = lesser of fr2 or Sp/Sv = 0.8498 fr4 = lesser of 1 or Sp/Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(19.25*0.3617*1 + 2*0.375*0.3617*1*(1 - 0.8498)) = 3.5018 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.2543 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 19.25*(1*0.375 - 1*0.3617) - 2*0.375*(1*0.375 - 1*0.3617)*(1 - 0.8498) = 0.2543 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.3617) - 2*0.375*(1*0.375 - 1*0.3617)*(1 - 0.8498) = 0.0184 in2 A2 = smaller of the following= 0.5131 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.053)*0.8498*0.375 = 0.5131 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.053)*(2.5*0.375 + 0.375)*0.8498 = 0.7183 in2 A3 = smaller of the following= 0.5975 in2 = 5*t*ti*fr2 = 5*0.375*0.375*0.8498 = 0.5975 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*0.8498 = 0.5975 in2 = 2*h*ti*fr2 = 2*1*0.375*0.8498 = 0.6374 in2 A41 = Leg2*fr3 = 0.35712*0.8498 = 0.1084 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 2/10/2007 10:33:19 AM 275/368
- 277. A43 = Leg2*fr2 = 0.3752*0.8498 = 0.1195 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (27 - 19.25 - 2*0.375)*0.375*1*0.7 = 1.8375 in2 Area = A1 + A2 + A3 + A41 + A42 + A43 + A5 = 0.2543 + 0.5131 + 0.5975 + 0.1084 + 0.0718 + 0.1195 + 1.8375 = 3.5021 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in Lower fillet: tmin = lesser of 0.75 or tn or t = 0.375 in tw(min) = 0.7*tmin = 0.2625 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.053 in Wall thickness per UG-45(b)(2): tr2 = 0.0557 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.8840/20.0000 = 0.5442 Do/t = 20.0000/0.052989 = 377.4362 From table G: A = 0.000349 From table HA-3: B = 4581.8237 psi Pa = 4*B/(3*(Do/t)) = 4*4581.8237/(3*(20.0000/0.052989)) 2/10/2007 10:33:19 AM 276/368
- 278. = 16.1858 psi Designthickness for external pressure Pa = 16.1858 psi = t + Corrosion = 0.052989 + 0.0000 = 0.0530" 2/10/2007 10:33:19 AM 277/368
- 279. Vapor Outlet (N5.2) ASMESection VIII Division 1, 2004 Edition, A06 Addenda tw(lower) = 0.0000 in Leg41 = 0.3571 in tw(upper) = 0.3750 in Leg42 = 0.2679 in Leg43 = 0.3750 in hnew = 1.0000 in Dp = 27.0000 in te = 0.3750 in Note: round inside edges per UG-76(c) Located on: Rear Channel Liquid static head included: 0 psi Nozzle material specification: SA-106 B Smls pipe (II-D p. 10, ln. 5) Nozzle longitudinal joint efficiency: 1.00 Nozzle description: 20" Sch 20 (Std) Pad material specification: SA-516 70 (II-D p. 14, ln. 20) Pad diameter: 27 in Flange description: 20 inch Class 150 SO A105 Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 382, ln. 33) Flange rated MDMT: -55°F (UCS-66(b)(3): Coincident ratio = 0.1754386) (Flange rated MDMT = -155 °F Bolts rated MDMT per Fig UCS-66 note (e) = -55 °F) Liquid static head on flange: 0 psi ASME B16.5 flange rating MAWP: 222.5 psi @ 325°F ASME B16.5 flange rating MAP: 285 psi @ 70°F ASME B16.5 flange hydro test: 450 psi @ 70°F Nozzle orientation: 225° Local vessel minimum thickness: 0.375 in Nozzle center line offset to datum line: 110.91 in End of nozzle to shell center: 67 in Nozzle inside diameter, new: 19.25 in Nozzle nominal wall thickness: 0.375 in Nozzle corrosion allowance: 0 in Projection available outside vessel, Lpr: 10 in Pad is split: yes Pad joint efficiency: 0.7 2/10/2007 10:33:19 AM 278/368
- 280. Reinforcement Calculations forInternal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 80.74 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 5.3580 5.3588 1.8607 0.6176 0.7031 1.8375 0.3399 0.2783 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 58,813.12 43,731.24 230,097.06 30,809.49 363,464.13 62,265.20 186,827.77 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) Nozzle to pad fillet (Leg41) 0.2500 0.2500 weld size is adequate Pad to shell fillet (Leg42) 0.1875 0.1875 weld size is adequate 0.2625 Nozzle to inside shell fillet (Leg43) 0.2625 weld size is adequate (corroded) Nozzle to pad groove (Upper) 0.3750 0.3750 weld size is adequate Calculations for internal pressure 80.74 psi @ 325 °F Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -155 °F per UCS-66(b)(3) (coincident ratio = 0.08592). Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 °F Fig UCS-66.1 MDMT reduction = 75.8 °F, (coincident ratio = 0.45291) Rated MDMT is governed by UCS-66(b)(2). Nozzle UCS-66 governing thk: 0.3281 in Nozzle rated MDMT: -155 °F Pad UCS-66 governing thickness: 0.375 in Pad rated MDMT: -55 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 19.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) 2/10/2007 10:33:19 AM 279/368
- 281. = 80.7446*9.625/(17100*1 - 0.6*80.7446) = 0.0456 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 80.7446*56.625/(16475*1 - 0.6*80.7446) = 0.2783 in Area required per UG-37(c) Allowable stresses: Sn = 17100, Sv = 16475, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 1 fr2 = lesser of 1 or Sn/Sv = 1 fr3 = lesser of fr2 or Sp/Sv = 1 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 19.25*0.2783*1 + 2*0.375*0.2783*1*(1 - 1) = 5.358 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.8607 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 19.25*(1*0.375 - 1*0.2783) - 2*0.375*(1*0.375 - 1*0.2783)*(1 - 1) = 1.8607 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.2783) - 2*0.375*(1*0.375 - 1*0.2783)*(1 - 1) = 0.145 in2 A2 = smaller of the following= 0.6176 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0456)*1*0.375 = 0.6176 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.0456)*(2.5*0.375 + 0.375)*1 = 0.8647 in2 A3 = smaller of the following= 0.7031 in2 = 5*t*ti*fr2 = 5*0.375*0.375*1 = 0.7031 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*1 = 0.7031 in2 = 2*h*ti*fr2 = 2*1*0.375*1 2/10/2007 10:33:19 AM 280/368
- 282. = 0.75 in2 A41 = Leg2*fr3 = 0.35712*1 = 0.1275 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A43 = Leg2*fr2 = 0.3752*1 = 0.1406 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (27 - 19.25 - 2*0.375)*0.375*1*0.7 = 1.8375 in2 Area = A1 + A2 + A3 + A41 + A42 + A43 + A5 = 1.8607 + 0.6176 + 0.7031 + 0.1275 + 0.0718 + 0.1406 + 1.8375 = 5.3588 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in Lower fillet: tmin = lesser of 0.75 or tn or t = 0.375 in tw(min) = 0.7*tmin = 0.2625 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0456 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2783 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2783 in The lesser of tr4 or tr5: tr6 = 0.2783 in Required per UG-45 is the larger of tr1 or tr6 = 0.2783 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. 2/10/2007 10:33:19 AM 281/368
- 283. Allowable stresses injoints UG-45(c) and UW-15(c) Nozzle wall in shear: 0.7*17100 = 11970 psi Inner fillet weld in shear: 0.49*17100 = 8379 psi Outer fillet weld in shear: 0.49*16475 = 8073 psi Upper groove weld in tension: 0.74*20000 = 14800 psi Lower fillet weld in shear: 0.49*16475 = 8073 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*20*0.3571*8379 = 94000.88 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*27*0.2679*8073 = 91722.91 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*19.625*0.375*11970 = 138374.2 lbf (5) Lower fillet weld in shear (π/2)*Nozzle OD*Leg*Sl = (π/2)*20*0.375*8073 = 95104.85 lbf (6) Upper groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*20*0.375*14800 = 174358.4 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (5.358 - 1.8607 + 2*0.375*1*(1*0.375 - 1*0.2783))*16475 = 58813.12 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.6176 + 1.8375 + 0.1275 + 0.0718)*16475 = 43731.24 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.6176 + 0.7031 + 0.1275 + 0.1406 + 2*0.375*0.375*1)*16475 = 30809.49 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.6176 + 0.7031 + 1.8375 + 0.1275 + 0.0718 + 0.1406 + 2*0.375*0.375*1)*16475 = 62265.2 lbf 2/10/2007 10:33:19 AM 282/368
- 284. Load for path1-1 lesser of W or W1-1 = 43731.24 lbf Path 1-1 through (2) & (3) = 91722.91 + 138374.2 = 230097.1 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 30809.49 lbf Path 2-2 through (1), (5), (6) = 94000.88 + 95104.85 + 174358.4 = 363464.1 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 58813.12 lbf Path 3-3 through (2), (5) = 91722.91 + 95104.85 = 186827.8 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle. UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For P = 81.81 psi @ 70 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 5.3554 5.3604 1.8634 0.6165 0.7031 1.8375 0.3399 0.2782 0.3281 Weld Failure Path Analysis Summary (lbf) All failure paths are stronger than the applicable weld loads Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3 W W1-1 strength W2-2 strength W3-3 strength 59,527.98 44,310.11 231,349.73 31,211.88 364,763.00 63,097.19 189,379.28 UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) Nozzle to pad fillet (Leg41) 0.2500 0.2500 weld size is adequate Pad to shell fillet (Leg42) 0.1875 0.1875 weld size is adequate 0.2625 Nozzle to inside shell fillet (Leg43) 0.2625 weld size is adequate (corroded) Nozzle to pad groove (Upper) 0.3750 0.3750 weld size is adequate Calculations for internal pressure 81.81 psi @ 70 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 19.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-27(c)(1) trn = P*Rn/(Sn*E - 0.6*P) 2/10/2007 10:33:19 AM 283/368
- 285. = 81.8073*9.625/(17100*1 - 0.6*81.8073) = 0.0462 in Required thickness tr from UG-37(a) tr = P*R/(S*E - 0.6*P) = 81.8073*56.625/(16700*1 - 0.6*81.8073) = 0.2782 in Area required per UG-37(c) Allowable stresses: Sn = 17100, Sv = 16700, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 1 fr2 = lesser of 1 or Sn/Sv = 1 fr3 = lesser of fr2 or Sp/Sv = 1 fr4 = lesser of 1 or Sp/Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1) = 19.25*0.2782*1 + 2*0.375*0.2782*1*(1 - 1) = 5.3554 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 1.8634 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 19.25*(1*0.375 - 1*0.2782) - 2*0.375*(1*0.375 - 1*0.2782)*(1 - 1) = 1.8634 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.2782) - 2*0.375*(1*0.375 - 1*0.2782)*(1 - 1) = 0.1452 in2 A2 = smaller of the following= 0.6165 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0462)*1*0.375 = 0.6165 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.0462)*(2.5*0.375 + 0.375)*1 = 0.8631 in2 A3 = smaller of the following= 0.7031 in2 = 5*t*ti*fr2 = 5*0.375*0.375*1 = 0.7031 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*1 = 0.7031 in2 = 2*h*ti*fr2 = 2*1*0.375*1 2/10/2007 10:33:19 AM 284/368
- 286. = 0.75 in2 A41 = Leg2*fr3 = 0.35712*1 = 0.1275 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 A43 = Leg2*fr2 = 0.3752*1 = 0.1406 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (27 - 19.25 - 2*0.375)*0.375*1*0.7 = 1.8375 in2 Area = A1 + A2 + A3 + A41 + A42 + A43 + A5 = 1.8634 + 0.6165 + 0.7031 + 0.1275 + 0.0718 + 0.1406 + 1.8375 = 5.3604 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in Lower fillet: tmin = lesser of 0.75 or tn or t = 0.375 in tw(min) = 0.7*tmin = 0.2625 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0462 in (E =1) Wall thickness per UG-45(b)(1): tr2 = 0.2782 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.2782 in The lesser of tr4 or tr5: tr6 = 0.2782 in Required per UG-45 is the larger of tr1 or tr6 = 0.2782 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. 2/10/2007 10:33:19 AM 285/368
- 287. Allowable stresses injoints UG-45(c) and UW-15(c) Nozzle wall in shear: 0.7*17100 = 11970 psi Inner fillet weld in shear: 0.49*17100 = 8379 psi Outer fillet weld in shear: 0.49*16700 = 8183 psi Upper groove weld in tension: 0.74*20000 = 14800 psi Lower fillet weld in shear: 0.49*16700 = 8183 psi Strength of welded joints: (1) Inner fillet weld in shear (π/2)*Nozzle OD*Leg*Si = (π/2)*20*0.3571*8379 = 94000.88 lbf (2) Outer fillet weld in shear (π/2)*Pad OD*Leg*So = (π/2)*27*0.2679*8183 = 92975.58 lbf (3) Nozzle wall in shear (π/2)*Mean nozzle dia*tn*Sn = (π/2)*19.625*0.375*11970 = 138374.2 lbf (5) Lower fillet weld in shear (π/2)*Nozzle OD*Leg*Sl = (π/2)*20*0.375*8183 = 96403.7 lbf (6) Upper groove weld in tension (π/2)*Nozzle OD*tw*Sg = (π/2)*20*0.375*14800 = 174358.4 lbf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv = (5.3554 - 1.8634 + 2*0.375*1*(1*0.375 - 1*0.2782))*16700 = 59527.98 lbf W1-1 = (A2 + A5 + A41 + A42)*Sv = (0.6165 + 1.8375 + 0.1275 + 0.0718)*16700 = 44310.11 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv = (0.6165 + 0.7031 + 0.1275 + 0.1406 + 2*0.375*0.375*1)*16700 = 31211.88 lbf W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv = (0.6165 + 0.7031 + 1.8375 + 0.1275 + 0.0718 + 0.1406 + 2*0.375*0.375*1)*16700 = 63097.19 lbf 2/10/2007 10:33:19 AM 286/368
- 288. Load for path1-1 lesser of W or W1-1 = 44310.11 lbf Path 1-1 through (2) & (3) = 92975.58 + 138374.2 = 231349.7 lbf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 31211.88 lbf Path 2-2 through (1), (5), (6) = 94000.88 + 96403.7 + 174358.4 = 364763 lbf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 59527.98 lbf Path 3-3 through (2), (5) = 92975.58 + 96403.7 = 189379.3 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure UG-45 Nozzle UG-37 Area Calculation Summary (in2) Wall For Pe = 17.06 psi @ 325 °F Thickness The opening is adequately reinforced Summary (in) The nozzle passes UG-45 A A A A1 A2 A3 A5 treq tmin required available welds 3.5680 3.5680 0.0828 0.6047 0.7031 1.8375 0.3399 0.0625 0.3281 Weld Failure Path Analysis Summary Weld strength calculations are not required for external pressure UW-16 Weld Sizing Summary Required weld Actual weld Weld description Status size (in) size (in) Nozzle to pad fillet (Leg41) 0.2500 0.2500 weld size is adequate Pad to shell fillet (Leg42) 0.1875 0.1875 weld size is adequate 0.2625 Nozzle to inside shell fillet (Leg43) 0.2625 weld size is adequate (corroded) Nozzle to pad groove (Upper) 0.3750 0.3750 weld size is adequate Calculations for external pressure 17.06 psi @ 325 °F Limits of reinforcement per UG-40 Parallel to the vessel wall: d = 19.25 in Normal to the vessel wall outside: 2.5*(t - C) = 0.9375 in Normal to the vessel wall inside: 2.5*(t - C) = 0.9375 in Nozzle required thickness per UG-28 trn = 0.0525 in From UG-37(d)(1) required thickness tr = 0.3707 in Area required per UG-37(d)(1) 2/10/2007 10:33:19 AM 287/368
- 289. Allowable stresses: Sn= 17100, Sv = 16475, Sp = 20000 psi fr1 = lesser of 1 or Sn/Sv = 1 fr2 = lesser of 1 or Sn/Sv = 1 fr3 = lesser of fr2 or Sp/Sv = 1 fr4 = lesser of 1 or Sp/Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5*(19.25*0.3707*1 + 2*0.375*0.3707*1*(1 - 1)) = 3.568 in2 Area available from FIG. UG-37.1 A1 = larger of the following= 0.0828 in2 = d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 19.25*(1*0.375 - 1*0.3707) - 2*0.375*(1*0.375 - 1*0.3707)*(1 - 1) = 0.0828 in2 = 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1) = 2*(0.375 + 0.375)*(1*0.375 - 1*0.3707) - 2*0.375*(1*0.375 - 1*0.3707)*(1 - 1) = 0.0064 in2 A2 = smaller of the following= 0.6047 in2 = 5*(tn - trn)*fr2*t = 5*(0.375 - 0.0525)*1*0.375 = 0.6047 in2 = 2*(tn - trn)*(2.5*tn + te)*fr2 = 2*(0.375 - 0.0525)*(2.5*0.375 + 0.375)*1 = 0.8466 in2 A3 = smaller of the following= 0.7031 in2 = 5*t*ti*fr2 = 5*0.375*0.375*1 = 0.7031 in2 = 5*ti*ti*fr2 = 5*0.375*0.375*1 = 0.7031 in2 = 2*h*ti*fr2 = 2*1*0.375*1 = 0.75 in2 A41 = Leg2*fr3 = 0.35712*1 = 0.1275 in2 A42 = Leg2*fr4 = 0.26792*1 = 0.0718 in2 2/10/2007 10:33:19 AM 288/368
- 290. A43 = Leg2*fr2 = 0.3752*1 = 0.1406 in2 A5 = (Dp - d - 2*tn)*te*fr4*Ep = (27 - 19.25 - 2*0.375)*0.375*1*0.7 = 1.8375 in2 Area = A1 + A2 + A3 + A41 + A42 + A43 + A5 = 0.0828 + 0.6047 + 0.7031 + 0.1275 + 0.0718 + 0.1406 + 1.8375 = 3.568 in2 As Area >= A the reinforcement is adequate. UW-16(d) Weld Check Inner fillet: tmin = lesser of 0.75 or tn or te = 0.375 in tc(min) = lesser of 0.25 or 0.7*tmin = 0.25 in tc(actual) = 0.7*Leg = 0.7*0.3571 = 0.25 in Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 in tw(min) = 0.5*tmin = 0.1875 in tw(actual) = 0.7*Leg = 0.7*0.2679 = 0.1875 in Lower fillet: tmin = lesser of 0.75 or tn or t = 0.375 in tw(min) = 0.7*tmin = 0.2625 in tw(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in UG-45 Nozzle Neck Thickness Check Wall thickness per UG-45(a): tr1 = 0.0525 in Wall thickness per UG-45(b)(2): tr2 = 0.0587 in Wall thickness per UG-16(b): tr3 = 0.0625 in Standard wall pipe per UG-45(b)(4): tr4 = 0.3281 in The greater of tr2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.8750*0.375 = 0.3281 in The nozzle neck thickness is adequate. External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 10.8840/20.0000 = 0.5442 Do/t = 20.0000/0.052490 = 381.0219 From table G: A = 0.000343 From table CS-2: B = 4876.1626 psi Pa = 4*B/(3*(Do/t)) = 4*4876.1626/(3*(20.0000/0.052490)) 2/10/2007 10:33:19 AM 289/368
- 291. = 17.0635 psi Designthickness for external pressure Pa = 17.0635 psi = t + Corrosion = 0.052490 + 0.0000 = 0.0525" 2/10/2007 10:33:19 AM 290/368
- 292. Vessel Support Lugs Supportmaterial: SA-516-70 This support is attached to: Rear Channel Distance from baseplate to datum: 87.2500 in Local shell outer diameter, new: 114.0000 in Local shell thickness, new: 0.3750 in Local shell inner corrosion: 0.0000 in Local shell outer corrosion: 0.0000 in Lug allowable stress Sb =24,000.00 psi Top plate width Wp = 4.0000 in Top plate thickness ta =1.0000 in Base plate width b = 14.7500 in Base plate thickness tb =1.7500 in Base plate load bearing width Lb =4.0000 in Shell to center of load bearing area d =10.5000 in Gusset height h =40.0000 in Gusset thickness tg =1.0000 in Gusset separation Lg =9.0000 in Lug length, circumferential direction L =18.0000 in Lug attachment fillet weld size: 0.3750 in Pad width, circumferential direction: 22.0000 in Pad length, longitudinal direction: 47.0000 in Pad thickness te =0.5000 in Pad attachment fillet weld size: 0.2500 in Radial/bending lug stiffness ratio: 2 Number of support lugs: 4 2/10/2007 10:33:19 AM 291/368
- 293. Stresses in Shellat Lug Supports Stress in Shell Total Lug Loading Shear Moment Lug (psi) Condition Weight V (lb) M (ft-lb) orient (lb) W Pr VL ML Vc Mc Primary Primary Combined (lb) (lb) (lb) (ft-lb) (lb) (ft-lb) Circ (PL) Long (PL) PL+Pb+Q 0° 18,406 -1,307 13,703 11,989.88 0 0.00 9,529 5,062 12,721 Wind, operating 122,708 3,920 52,914 90° 30,677 0 30,677 26,842.33 653 571.64 10,759 6,319 16,907 Attack angle = 0° 180° 30,677 1,307 35,380 30,957.85 0 0.00 10,706 6,558 17,349 270° 30,677 0 30,677 26,842.33 -653 -571.64 10,759 6,319 16,907 0° 18,406 -693 15,080 13,195.29 -693 -606.32 9,417 5,105 12,677 Wind, operating 122,708 3,920 52,914 90° 18,406 -693 15,080 13,195.29 693 606.32 9,417 5,105 12,677 Attack angle = 45° 180° 30,677 693 34,003 29,752.44 693 606.32 10,818 6,514 17,395 270° 30,677 693 34,003 29,752.44 -693 -606.32 10,818 6,514 17,395 0° 18,406 -1,307 13,703 11,989.88 0 0.00 9,529 5,062 12,721 Wind, operating, new 122,708 3,920 52,914 90° 30,677 0 30,677 26,842.33 653 571.64 10,759 6,319 16,907 Attack angle = 0° 180° 30,677 1,307 35,380 30,957.85 0 0.00 10,706 6,558 17,349 270° 30,677 0 30,677 26,842.33 -653 -571.64 10,759 6,319 16,907 0° 18,406 -693 15,080 13,195.29 -693 -606.32 9,417 5,105 12,677 Wind, operating, new 122,708 3,920 52,914 90° 18,406 -693 15,080 13,195.29 693 606.32 9,417 5,105 12,677 Attack angle = 45° 180° 30,677 693 34,003 29,752.44 693 606.32 10,818 6,514 17,395 270° 30,677 693 34,003 29,752.44 -693 -606.32 10,818 6,514 17,395 0° 12,787 -1,307 8,084 7,073.25 0 0.00 1,391 821 3,619 Wind, empty, new 85,248 3,920 52,914 90° 21,312 0 21,312 18,647.95 653 571.64 -2,230 -1,767 -7,104 Attack angle = 0° 180° 21,312 1,307 26,015 22,763.46 0 0.00 -3,267 -2,308 -9,594 270° 21,312 0 21,312 18,647.95 -653 -571.64 -2,230 -1,767 -7,104 0° 12,787 -693 9,461 8,278.66 -693 -606.32 1,279 864 3,650 Wind, empty, new 85,248 3,920 52,914 90° 12,787 -693 9,461 8,278.66 693 606.32 1,279 864 3,650 Attack angle = 45° 180° 21,312 693 24,638 21,558.06 693 606.32 -2,867 -2,123 -8,703 270° 21,312 693 24,638 21,558.06 -693 -606.32 -2,867 -2,123 -8,703 0° 18,406 -1,307 13,703 11,989.88 0 0.00 -3,154 -2,117 -5,545 Wind, vacuum 122,708 3,920 52,914 90° 30,677 0 30,677 26,842.33 653 571.64 -5,474 -3,676 -11,627 Attack angle = 0° 180° 30,677 1,307 35,380 30,957.85 0 0.00 -6,511 -4,217 -14,046 270° 30,677 0 30,677 26,842.33 -653 -571.64 -5,474 -3,676 -11,627 0° 18,406 -693 15,080 13,195.29 -693 -606.32 -3,554 -2,302 -6,342 Wind, vacuum 122,708 3,920 52,914 90° 18,406 -693 15,080 13,195.29 693 606.32 -3,554 -2,302 -6,342 Attack angle = 45° 180° 30,677 693 34,003 29,752.44 693 606.32 -6,111 -4,031 -13,169 270° 30,677 693 34,003 29,752.44 -693 -606.32 -6,111 -4,031 -13,169 0° 15,543 -7,630 -15,950 -13,955.87 0 0.00 12,404 6,292 27,759 Seismic, operating, new 122,708 22,890 354,291 90° 33,540 0 33,540 29,347.62 3,815 3,338.11 11,059 6,556 17,799 Attack angle = 0° 180° 33,540 7,630 65,033 56,903.61 0 0.00 11,169 8,284 26,642 270° 33,540 0 33,540 29,347.62 -3,815 -3,338.11 11,059 6,556 17,799 0° 15,543 -4,046 -6,726 -5,884.91 -4,046 -3,540.60 9,943 6,398 24,600 Seismic, operating, new 122,708 22,890 354,291 90° 15,543 -4,046 -6,726 -5,884.91 4,046 3,540.60 9,943 6,398 24,600 Attack angle = 45° 180° 33,540 4,046 55,809 48,832.64 4,046 3,540.60 11,700 7,934 23,642 270° 33,540 4,046 55,809 48,832.64 -4,046 -3,540.60 11,700 7,934 23,642 0° 10,798 -5,304 -15,808 -13,831.81 0 0.00 3,868 1,925 14,073 Seismic, empty, new 85,248 15,913 299,316 90° 23,301 0 23,301 20,388.42 2,652 2,320.60 -2,438 -1,932 7,801 Attack angle = 0° 180° 23,301 5,304 49,907 43,668.52 0 0.00 -7,435 -4,752 -20,388 270° 23,301 0 23,301 20,388.42 -2,652 -2,320.60 -2,438 -1,932 7,801 2/10/2007 10:33:19 AM 292/368
- 294. 0° 10,798 -2,813 -8,015 -7,013.22 -2,813 -2,461.37 2,013 1,823 11,861 Seismic, empty, new 85,248 15,913 299,316 90° 10,798 -2,813 -8,015 -7,013.22 2,813 2,461.37 2,013 1,823 11,861 Attack angle = 45° 180° 23,301 2,813 42,114 36,849.94 2,813 2,461.37 -5,580 -3,817 -16,052 270° 23,301 2,813 42,114 36,849.94 -2,813 -2,461.37 -5,580 -3,817 -16,052 0° 15,543 -7,630 -15,950 -13,955.87 0 0.00 2,589 -1,571 -21,155 Seismic, vacuum 122,708 22,890 354,291 90° 33,540 0 33,540 29,347.62 3,815 3,338.11 -5,774 -3,913 -12,650 Attack angle = 0° 180° 33,540 7,630 65,033 56,903.61 0 0.00 -12,254 -7,407 -28,208 270° 33,540 0 33,540 29,347.62 -3,815 -3,338.11 -5,774 -3,913 -12,650 0° 15,543 -4,046 -6,726 -5,884.91 -4,046 -3,540.60 -2,168 1,491 -18,197 Seismic, vacuum 122,708 22,890 354,291 90° 15,543 -4,046 -6,726 -5,884.91 4,046 3,540.60 -2,168 1,491 -18,197 Attack angle = 45° 180° 33,540 4,046 55,809 48,832.64 4,046 3,540.60 -9,793 -6,227 -22,748 270° 33,540 4,046 55,809 48,832.64 -4,046 -3,540.60 -9,793 -6,227 -22,748 2/10/2007 10:33:19 AM 293/368
- 295. Applied Loads (Seismic,operating, new, Attack angle = 0°, lug orientation = 0°) Radial load: Pr = -7,629.96 lbf Circumferential moment: Mc = 0.00 lbf-in Circumferential shear: Vc = 0.00 lbf Longitudinal moment: ML = -167,470.48 lbf-in Longitudinal shear: VL = -15,949.57 lbf Torsion moment: Mt = 0.00 lbf-in Internal pressure: P= 50.000 psi Mean shell radius: Rm = 56.8125 in Local shell thickness: t= 0.3750 in Shell yield stress: Sy = 18,775.00 psi 2/10/2007 10:33:19 AM 294/368
- 296. Maximum stresses dueto the applied loads at the pad edge (includes pressure) Rm/t =151.5 C1 = 11.0000, C2 = 23.5000 in Local circumferential pressure stress = P*Ri/t = 7,550.00 psi Local longitudinal pressure stress = P*Ri/2t = 3,775.00 psi Maximum combined stress (PL+Pb+Q) = 27,759.00 psi Allowable combined stress (PL+Pb+Q) = +-3*S = +-49,425.00 psi Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material. The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 12,404.00 psi Allowable local primary membrane (PL) = +-1.5*S = +-24,712.50 psi The maximum local primary membrane stress (PL) is within allowable limits. Stresses at the pad edge per WRC Bulletin 107 Figure value β Au Al Bu Bl Cu Cl Du Dl 3C* 1.8401 0.3793 0 0 0 0 659 659 659 659 4C* 8.8926 0.3231 3,185 3,185 3,185 3,185 0 0 0 0 1C 0.0600 0.2589 0 0 0 0 19,533 -19,533 19,533 -19,533 2C-1 0.0080 0.2589 2,604 -2,604 2,604 -2,604 0 0 0 0 3A* 3.4294 0.2494 0 0 0 0 0 0 0 0 1A 0.0499 0.2598 0 0 0 0 0 0 0 0 3B* 4.9378 0.3212 1,669 1,669 -1,669 -1,669 0 0 0 0 1B-1 0.0070 0.2755 3,196 -3,196 -3,196 3,196 0 0 0 0 Pressure stress* 7,550 7,550 7,550 7,550 7,550 7,550 7,550 7,550 Total circumferential stress 18,204 6,604 8,474 9,658 27,742 -11,324 27,742 -11,324 Primary membrane 12,404 12,404 9,066 9,066 8,209 8,209 8,209 8,209 circumferential stress* 3C* 2.4645 0.3231 883 883 883 883 0 0 0 0 4C* 7.0275 0.3793 0 0 0 0 2,517 2,517 2,517 2,517 1C-1 0.0139 0.3332 4,525 -4,525 4,525 -4,525 0 0 0 0 2C 0.0300 0.3332 0 0 0 0 9,766 -9,766 9,766 -9,766 4A* 12.7073 0.2494 0 0 0 0 0 0 0 0 2A 0.0191 0.3112 0 0 0 0 0 0 0 0 4B* 2.4887 0.3212 1,322 1,322 -1,322 -1,322 0 0 0 0 2B-1 0.0105 0.3308 3,992 -3,992 -3,992 3,992 0 0 0 0 Pressure stress* 3,775 3,775 3,775 3,775 3,775 3,775 3,775 3,775 Total longitudinal stress 14,497 -2,537 3,869 2,803 16,058 -3,474 16,058 -3,474 Primary membrane 5,980 5,980 3,336 3,336 6,292 6,292 6,292 6,292 longitudinal stress* Shear from Mt 0 0 0 0 0 0 0 0 Circ shear from Vc 0 0 0 0 0 0 0 0 Long shear from VL 0 0 0 0 452 452 -452 -452 Total Shear stress 0 0 0 0 452 452 -452 -452 2/10/2007 10:33:19 AM 295/368
- 297. Combined stress (PL+Pb+Q) 18,204 -9,141 8,474 9,658 27,759 -11,350 27,759 -11,350 2/10/2007 10:33:19 AM 296/368
- 298. Note: * denotesprimary stress. Maximum stresses due to the applied loads at the lug edge (includes pressure) Rm/t =64.9286 C1 = 9.0000, C2 = 21.3750 in Local circumferential pressure stress = P*Ri/t = 7,550.00 psi Local longitudinal pressure stress = P*Ri/2t = 3,775.00 psi Maximum combined stress (PL+Pb+Q) = 11,804.00 psi Allowable combined stress (PL+Pb+Q) = +-3*S = +-49,425.00 psi Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material. The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 9,219.00 psi Allowable local primary membrane (PL) = +-1.5*S = +-24,712.50 psi The maximum local primary membrane stress (PL) is within allowable limits. Stresses at the lug edge per WRC Bulletin 107 Figure value β Au Al Bu Bl Cu Cl Du Dl 3C* 2.1126 0.3346 0 0 0 0 324 324 324 324 4C* 6.4392 0.2818 988 988 988 988 0 0 0 0 1C 0.0656 0.2215 0 0 0 0 3,922 -3,922 3,922 -3,922 2C-1 0.0216 0.2215 1,292 -1,292 1,292 -1,292 0 0 0 0 3A* 2.4156 0.2114 0 0 0 0 0 0 0 0 1A 0.0624 0.2356 0 0 0 0 0 0 0 0 3B* 4.1299 0.2820 681 681 -681 -681 0 0 0 0 1B-1 0.0136 0.2534 1,240 -1,240 -1,240 1,240 0 0 0 0 Pressure stress* 7,550 7,550 7,550 7,550 7,550 7,550 7,550 7,550 Total circumferential stress 11,751 6,687 7,909 7,805 11,796 3,952 11,796 3,952 Primary membrane 9,219 9,219 7,857 7,857 7,874 7,874 7,874 7,874 circumferential stress* 3C* 2.7711 0.2818 425 425 425 425 0 0 0 0 4C* 5.4954 0.3346 0 0 0 0 843 843 843 843 1C-1 0.0296 0.2912 1,770 -1,770 1,770 -1,770 0 0 0 0 2C 0.0304 0.2912 0 0 0 0 1,818 -1,818 1,818 -1,818 4A* 5.7264 0.2114 0 0 0 0 0 0 0 0 2A 0.0240 0.2920 0 0 0 0 0 0 0 0 4B* 2.1336 0.2820 532 532 -532 -532 0 0 0 0 2B-1 0.0194 0.3118 1,437 -1,437 -1,437 1,437 0 0 0 0 Pressure stress* 3,775 3,775 3,775 3,775 3,775 3,775 3,775 3,775 Total longitudinal stress 7,939 1,525 4,001 3,335 6,436 2,800 6,436 2,800 Primary membrane 4,732 4,732 3,668 3,668 4,618 4,618 4,618 4,618 longitudinal stress* Shear from Mt 0 0 0 0 0 0 0 0 Circ shear from Vc 0 0 0 0 0 0 0 0 Long shear from VL 0 0 0 0 213 213 -213 -213 2/10/2007 10:33:19 AM 297/368
- 299. Total Shear stress 0 0 0 0 213 213 -213 -213 Combined stress (PL+Pb+Q) 11,751 6,687 7,909 7,805 11,804 3,990 11,804 3,990 2/10/2007 10:33:19 AM 298/368
- 300. Note: * denotesprimary stress. Applied Loads (Seismic, operating, new, Attack angle = 0°, lug orientation = 180°) Radial load: Pr = 7,629.96 lbf Circumferential moment: Mc = 0.00 lbf-in Circumferential shear: Vc = 0.00 lbf Longitudinal moment: ML = 682,843.25 lbf-in Longitudinal shear: VL = 65,032.69 lbf Torsion moment: Mt = 0.00 lbf-in Internal pressure: P= 50.000 psi Mean shell radius: Rm = 56.8125 in Local shell thickness: t= 0.3750 in Shell yield stress: Sy = 18,775.00 psi 2/10/2007 10:33:19 AM 299/368
- 301. Maximum stresses dueto the applied loads at the pad edge (includes pressure) Rm/t =151.5 C1 = 11.0000, C2 = 23.5000 in Local circumferential pressure stress = P*Ri/t = 7,550.00 psi Local longitudinal pressure stress = P*Ri/2t = 3,775.00 psi Maximum combined stress (PL+Pb+Q) = 26,642.00 psi Allowable combined stress (PL+Pb+Q) = +-3*S = +-49,425.00 psi Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material. The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 11,169.00 psi Allowable local primary membrane (PL) = +-1.5*S = +-24,712.50 psi The maximum local primary membrane stress (PL) is within allowable limits. Stresses at the pad edge per WRC Bulletin 107 Figure value β Au Al Bu Bl Cu Cl Du Dl 3C* 1.8401 0.3793 0 0 0 0 -659 -659 -659 -659 4C* 8.8926 0.3231 -3,185 -3,185 -3,185 -3,185 0 0 0 0 1C 0.0600 0.2589 0 0 0 0 -19,533 19,533 -19,533 19,533 2C-1 0.0080 0.2589 -2,604 2,604 -2,604 2,604 0 0 0 0 3A* 3.4294 0.2494 0 0 0 0 0 0 0 0 1A 0.0499 0.2598 0 0 0 0 0 0 0 0 3B* 4.9378 0.3212 -6,804 -6,804 6,804 6,804 0 0 0 0 1B-1 0.0070 0.2755 -13,031 13,031 13,031 -13,031 0 0 0 0 Pressure stress* 7,550 7,550 7,550 7,550 7,550 7,550 7,550 7,550 Total circumferential stress -18,074 13,196 21,596 742 -12,642 26,424 -12,642 26,424 Primary membrane -2,439 -2,439 11,169 11,169 6,891 6,891 6,891 6,891 circumferential stress* 3C* 2.4645 0.3231 -883 -883 -883 -883 0 0 0 0 4C* 7.0275 0.3793 0 0 0 0 -2,517 -2,517 -2,517 -2,517 1C-1 0.0139 0.3332 -4,525 4,525 -4,525 4,525 0 0 0 0 2C 0.0300 0.3332 0 0 0 0 -9,766 9,766 -9,766 9,766 4A* 12.7073 0.2494 0 0 0 0 0 0 0 0 2A 0.0191 0.3112 0 0 0 0 0 0 0 0 4B* 2.4887 0.3212 -5,392 -5,392 5,392 5,392 0 0 0 0 2B-1 0.0105 0.3308 -16,276 16,276 16,276 -16,276 0 0 0 0 Pressure stress* 3,775 3,775 3,775 3,775 3,775 3,775 3,775 3,775 Total longitudinal stress -23,301 18,301 20,035 -3,467 -8,508 11,024 -8,508 11,024 Primary membrane -2,500 -2,500 8,284 8,284 1,258 1,258 1,258 1,258 longitudinal stress* Shear from Mt 0 0 0 0 0 0 0 0 Circ shear from Vc 0 0 0 0 0 0 0 0 Long shear from VL 0 0 0 0 -1,845 -1,845 1,845 1,845 Total Shear stress 0 0 0 0 -1,845 -1,845 1,845 1,845 2/10/2007 10:33:19 AM 300/368
- 302. Combined stress (PL+Pb+Q) -23,301 18,301 21,596 -4,209 -13,346 26,642 -13,346 26,642 2/10/2007 10:33:19 AM 301/368
- 303. Note: * denotesprimary stress. Maximum stresses due to the applied loads at the lug edge (includes pressure) Rm/t =64.9286 C1 = 9.0000, C2 = 21.3750 in Local circumferential pressure stress = P*Ri/t = 7,550.00 psi Local longitudinal pressure stress = P*Ri/2t = 3,775.00 psi Maximum combined stress (PL+Pb+Q) = 13,101.00 psi Allowable combined stress (PL+Pb+Q) = +-3*S = +-49,425.00 psi Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material. The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 9,338.00 psi Allowable local primary membrane (PL) = +-1.5*S = +-24,712.50 psi The maximum local primary membrane stress (PL) is within allowable limits. Stresses at the lug edge per WRC Bulletin 107 Figure value β Au Al Bu Bl Cu Cl Du Dl 3C* 2.1126 0.3346 0 0 0 0 -324 -324 -324 -324 4C* 6.4392 0.2818 -988 -988 -988 -988 0 0 0 0 1C 0.0656 0.2215 0 0 0 0 -3,922 3,922 -3,922 3,922 2C-1 0.0216 0.2215 -1,292 1,292 -1,292 1,292 0 0 0 0 3A* 2.4156 0.2114 0 0 0 0 0 0 0 0 1A 0.0624 0.2356 0 0 0 0 0 0 0 0 3B* 4.1299 0.2820 -2,776 -2,776 2,776 2,776 0 0 0 0 1B-1 0.0136 0.2534 -5,055 5,055 5,055 -5,055 0 0 0 0 Pressure stress* 7,550 7,550 7,550 7,550 7,550 7,550 7,550 7,550 Total circumferential stress -2,561 10,133 13,101 5,575 3,304 11,148 3,304 11,148 Primary membrane 3,786 3,786 9,338 9,338 7,226 7,226 7,226 7,226 circumferential stress* 3C* 2.7711 0.2818 -425 -425 -425 -425 0 0 0 0 4C* 5.4954 0.3346 0 0 0 0 -843 -843 -843 -843 1C-1 0.0296 0.2912 -1,770 1,770 -1,770 1,770 0 0 0 0 2C 0.0304 0.2912 0 0 0 0 -1,818 1,818 -1,818 1,818 4A* 5.7264 0.2114 0 0 0 0 0 0 0 0 2A 0.0240 0.2920 0 0 0 0 0 0 0 0 4B* 2.1336 0.2820 -2,170 -2,170 2,170 2,170 0 0 0 0 2B-1 0.0194 0.3118 -5,861 5,861 5,861 -5,861 0 0 0 0 Pressure stress* 3,775 3,775 3,775 3,775 3,775 3,775 3,775 3,775 Total longitudinal stress -6,451 8,811 9,611 1,429 1,114 4,750 1,114 4,750 Primary membrane 1,180 1,180 5,520 5,520 2,932 2,932 2,932 2,932 longitudinal stress* Shear from Mt 0 0 0 0 0 0 0 0 Circ shear from Vc 0 0 0 0 0 0 0 0 Long shear from VL 0 0 0 0 -869 -869 869 869 2/10/2007 10:33:19 AM 302/368
- 304. Total Shear stress 0 0 0 0 -869 -869 869 869 Combined stress (PL+Pb+Q) -6,451 10,133 13,101 5,575 3,607 11,264 3,607 11,264 2/10/2007 10:33:19 AM 303/368
- 305. Note: * denotesprimary stress. Applied Loads (Seismic, vacuum, Attack angle = 0°, lug orientation = 180°) Radial load: Pr = 7,629.96 lbf Circumferential moment: Mc = 0.00 lbf-in Circumferential shear: Vc = 0.00 lbf Longitudinal moment: ML = 682,843.25 lbf-in Longitudinal shear: VL = 65,032.69 lbf Torsion moment: Mt = 0.00 lbf-in Internal pressure: P= -15.000 psi Mean shell radius: Rm = 56.8125 in Local shell thickness: t= 0.3750 in Shell yield stress: Sy = 18,775.00 psi 2/10/2007 10:33:19 AM 304/368
- 306. Maximum stresses dueto the applied loads at the pad edge (includes pressure) Rm/t =151.5 C1 = 11.0000, C2 = 23.5000 in Local circumferential pressure stress = P*Ri/t = -2,265.00 psi Local longitudinal pressure stress = P*Ri/2t = -1,132.00 psi Maximum combined stress (PL+Pb+Q) = -28,208.00 psi Allowable combined stress (PL+Pb+Q) = +-3*S = +-49,425.00 psi Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material. The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = -12,254.00 psi Allowable local primary membrane (PL) = +-1.5*S = +-24,712.50 psi The maximum local primary membrane stress (PL) is within allowable limits. Stresses at the pad edge per WRC Bulletin 107 Figure value β Au Al Bu Bl Cu Cl Du Dl 3C* 1.8401 0.3793 0 0 0 0 -659 -659 -659 -659 4C* 8.8926 0.3231 -3,185 -3,185 -3,185 -3,185 0 0 0 0 1C 0.0600 0.2589 0 0 0 0 -19,533 19,533 -19,533 19,533 2C-1 0.0080 0.2589 -2,604 2,604 -2,604 2,604 0 0 0 0 3A* 3.4294 0.2494 0 0 0 0 0 0 0 0 1A 0.0499 0.2598 0 0 0 0 0 0 0 0 3B* 4.9378 0.3212 -6,804 -6,804 6,804 6,804 0 0 0 0 1B-1 0.0070 0.2755 -13,031 13,031 13,031 -13,031 0 0 0 0 Pressure stress* -2,265 -2,265 -2,265 -2,265 -2,265 -2,265 -2,265 -2,265 Total circumferential stress -27,889 3,381 11,781 -9,073 -22,457 16,609 -22,457 16,609 Primary membrane -12,254 -12,254 1,354 1,354 -2,924 -2,924 -2,924 -2,924 circumferential stress* 3C* 2.4645 0.3231 -883 -883 -883 -883 0 0 0 0 4C* 7.0275 0.3793 0 0 0 0 -2,517 -2,517 -2,517 -2,517 1C-1 0.0139 0.3332 -4,525 4,525 -4,525 4,525 0 0 0 0 2C 0.0300 0.3332 0 0 0 0 -9,766 9,766 -9,766 9,766 4A* 12.7073 0.2494 0 0 0 0 0 0 0 0 2A 0.0191 0.3112 0 0 0 0 0 0 0 0 4B* 2.4887 0.3212 -5,392 -5,392 5,392 5,392 0 0 0 0 2B-1 0.0105 0.3308 -16,276 16,276 16,276 -16,276 0 0 0 0 Pressure stress* -1,132 -1,132 -1,132 -1,132 -1,132 -1,132 -1,132 -1,132 Total longitudinal stress -28,208 13,394 15,128 -8,374 -13,415 6,117 -13,415 6,117 Primary membrane -7,407 -7,407 3,377 3,377 -3,649 -3,649 -3,649 -3,649 longitudinal stress* Shear from Mt 0 0 0 0 0 0 0 0 Circ shear from Vc 0 0 0 0 0 0 0 0 Long shear from VL 0 0 0 0 -1,845 -1,845 1,845 1,845 Total Shear stress 0 0 0 0 -1,845 -1,845 1,845 1,845 2/10/2007 10:33:19 AM 305/368
- 307. Combined stress (PL+Pb+Q) -28,208 13,394 15,128 -9,073 -22,819 16,924 -22,819 16,924 2/10/2007 10:33:19 AM 306/368
- 308. Note: * denotesprimary stress. Maximum stresses due to the applied loads at the lug edge (includes pressure) Rm/t =64.9286 C1 = 9.0000, C2 = 21.3750 in Local circumferential pressure stress = P*Ri/t = -2,265.00 psi Local longitudinal pressure stress = P*Ri/2t = -1,132.00 psi Maximum combined stress (PL+Pb+Q) = -12,376.00 psi Allowable combined stress (PL+Pb+Q) = +-3*S = +-49,425.00 psi Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material. The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = -6,029.00 psi Allowable local primary membrane (PL) = +-1.5*S = +-24,712.50 psi The maximum local primary membrane stress (PL) is within allowable limits. Stresses at the lug edge per WRC Bulletin 107 Figure value β Au Al Bu Bl Cu Cl Du Dl 3C* 2.1126 0.3346 0 0 0 0 -324 -324 -324 -324 4C* 6.4392 0.2818 -988 -988 -988 -988 0 0 0 0 1C 0.0656 0.2215 0 0 0 0 -3,922 3,922 -3,922 3,922 2C-1 0.0216 0.2215 -1,292 1,292 -1,292 1,292 0 0 0 0 3A* 2.4156 0.2114 0 0 0 0 0 0 0 0 1A 0.0624 0.2356 0 0 0 0 0 0 0 0 3B* 4.1299 0.2820 -2,776 -2,776 2,776 2,776 0 0 0 0 1B-1 0.0136 0.2534 -5,055 5,055 5,055 -5,055 0 0 0 0 Pressure stress* -2,265 -2,265 -2,265 -2,265 -2,265 -2,265 -2,265 -2,265 Total circumferential stress -12,376 318 3,286 -4,240 -6,511 1,333 -6,511 1,333 Primary membrane -6,029 -6,029 -477 -477 -2,589 -2,589 -2,589 -2,589 circumferential stress* 3C* 2.7711 0.2818 -425 -425 -425 -425 0 0 0 0 4C* 5.4954 0.3346 0 0 0 0 -843 -843 -843 -843 1C-1 0.0296 0.2912 -1,770 1,770 -1,770 1,770 0 0 0 0 2C 0.0304 0.2912 0 0 0 0 -1,818 1,818 -1,818 1,818 4A* 5.7264 0.2114 0 0 0 0 0 0 0 0 2A 0.0240 0.2920 0 0 0 0 0 0 0 0 4B* 2.1336 0.2820 -2,170 -2,170 2,170 2,170 0 0 0 0 2B-1 0.0194 0.3118 -5,861 5,861 5,861 -5,861 0 0 0 0 Pressure stress* -1,132 -1,132 -1,132 -1,132 -1,132 -1,132 -1,132 -1,132 Total longitudinal stress -11,358 3,904 4,704 -3,478 -3,793 -157 -3,793 -157 Primary membrane -3,727 -3,727 613 613 -1,975 -1,975 -1,975 -1,975 longitudinal stress* Shear from Mt 0 0 0 0 0 0 0 0 Circ shear from Vc 0 0 0 0 0 0 0 0 Long shear from VL 0 0 0 0 -869 -869 869 869 2/10/2007 10:33:19 AM 307/368
- 309. Total Shear stress 0 0 0 0 -869 -869 869 869 Combined stress (PL+Pb+Q) -12,376 3,904 4,704 -4,240 -6,765 2,289 -6,765 2,289 2/10/2007 10:33:19 AM 308/368
- 310. Note: * denotesprimary stress. Lug top plate required thickness, Bednar 5.2 ta = 0.75*(VL*d*L)/(Sb*Wp2*h) = 0.75*(65,032.69*10.5*18)/(24,000.00*42*40) = 0.6002 in The top plate thickness of 1.0000 in is adequate. Gusset plate required thickness, Bednar 5.2 Sc = 18,000.00 / (1 + (1/18,000.00)*(h/(0.289*tg))2) = 18,000.00 / (1 + (1/18,000.00)*(40/(0.289*1))2) = 8,719.79 psi tg = VL*(3*d - b)/(Sc*b2*Sin(α)2) = 65,032.69*(3*10.5 - 14.75)/(8,719.79*14.752*Sin(74.957)2) = 0.6157 in The gusset thickness of 1.0000 in is adequate. Lug base plate required thickness From Escoe table 4-8 (l/b = 1.638889) Cx = 0.12522, Cy = -0.12428 fc = VL/(Lb*L) = 65,032.69/(4*18) = 903.23 psi Mx = Cx*fc*Lg2 = 0.12522*903.2318*92 = 9,161.317 in-lb/in tb = Sqr(6*Mx / Sb) = Sqr(6*9,161.317 / 24,000.00) = 1.5134 in The base plate thickness of 1.7500 in is adequate. Support Lug to Pad Fillet Weld Sizing - Bednar chapters 5.2 and 10.3 Note: continuous welding is assumed for all support lug fillet welds. dh = ta + h + tb Lw = 2*(b + dh) = 2*(18 + 42.75) = 121.5 Zw = b*dh + dh2/3 = 18*42.75 + 42.752/3 = 1,378.688 Zz = dh*b + b2/3 = 42.75*18 + 182/3 = 877.5 Shear f1 = VL/Lw = 65,032.69/121.5 = 535.2485 Shear f2 = Vc/Lw = 0/121.5 = 0 Bending f3 = larger absolute value of ML/Zw or Mc/Zz = ML/Zw = 682,843.3/1,378.688 = 495.285 Resultant load f = (f12 + f22 + f32)1/2 = (535.24852 + 02 + 495.2852)1/2 = 729.2449 lb/in 2/10/2007 10:33:19 AM 309/368
- 311. Required weld sizew = F/(0.707*0.55*Sa) = 729.2449/(0.707*0.55*16,475.00) = 0.1138324 in The support lug fillet weld size of 0.3750 in is adequate. Support Lug Pad to Shell Fillet Weld Sizing - Bednar chapters 5.2 and 10.3 Lw = 2*(b + dh) = 2*(22 + 47) = 138 Zw = b*dh + dh2/3 = 22*47 + 472/3 = 1,770.333 Zz = dh*b + b2/3 = 47*22 + 222/3 = 1,195.333 Shear f1 = VL/Lw = 65,032.69/138 = 471.2514 Shear f2 = Vc/Lw = 0/138 = 0 Bending f3 = larger absolute value of ML/Zw or Mc/Zz = ML/Zw = 682,843.3/1,770.333 = 385.7145 Resultant load f = (f12 + f22 + f32)1/2 = (471.25142 + 02 + 385.71452)1/2 = 608.9775 lb/in Required weld size w = F/(0.707*0.55*Sa) = 608.9775/(0.707*0.55*16,475.00) = 0.0950591 in The support lug pad fillet weld size of 0.2500 in is adequate. 2/10/2007 10:33:19 AM 310/368
- 312. Seismic Code ASCE 7-05 building Method of seismic analysis: mounted Site Class C Spectral Response Acceleration at short period (% g) Ss = 100.00% Spectral Response Acceleration at period of 1 sec (% g) S1 = 40.00% Response Modification Factor from Table 13.6-1 Rp = 3.0000 Importance Factor: Ip = 1.0000 Amplification factor from Table 13.6-1 ap = 1.0000 z/h Ratio: z/h = 1.0000 Acceleration based site co-efficient: Fa = 1.0000 Velocity based site co-efficient: Fv = 1.4000 Redundancy factor: ρ = 1.0000 User Defined Vertical Accelerations Considered: No 12.4.2.3 Basic Load Combinations for Allowable Stress Design The following load combinations are considered in accordance with ASCE section 2.4.1: 5. D + H + 0.7E = (1.0 + 0.14SDS)D + H + 0.7ρQE 8. 0.6D + H + 0.7E = (0.6 - 0.14SDS)D + H + 0.7ρQE Where D = Dead load H = Pressure load E = Seismic load = Eh +/- Ev = ρQE +/- 0.2SDSD Vessel Characteristics Vessel height: 32.5573 ft Vessel Weight: Operating, Corroded: 122,708 lb Empty, Corroded: 85,248 lb Vacuum, Corroded: 122,708 lb Period of Vibration Calculation Fundamental Period, T: Operating, Corroded: 0.071 sec (f = 14.1 Hz) Empty, Corroded: 0.069 sec (f = 14.4 Hz) Vacuum, Corroded: 0.071 sec (f = 14.1 Hz) The fundamental period of vibration T (above) is calculated using the Rayleigh method of approximation: T = 2 * PI * Sqr( {Sum(Wi * yi2 )} / {g * Sum(Wi * yi )} ), where Wi is the weight of the ith lumped mass, and yi is its deflection when the system is treated as a cantilever beam. 2/10/2007 10:33:19 AM 311/368
- 313. Seismic Shear Reports: Operating,Corroded Empty, Corroded Vacuum, Corroded Base Shear Calculations Seismic Shear Report: Operating, Corroded Elevation of bottom Elastic modulus E Inertia I Seismic shear at Bending Moment at Component above base (in) (106 psi) (ft4) Bottom (lbf) Bottom (lbf-ft) Front Head 360.50 26.8 * 867.37 1,149.84 Front Channel 327.50 26.8 10.4182 1,445.09 4,341.38 Tubesheet 326.00 26.8 428.6244 2,635.05 4,596.44 Shell 53.25 26.8 10.4182 19,143.35 294,371.47 Rear Tubesheet 51.75 26.8 428.6244 19,334.55 296,776.40 Rear Channel (top) 0.00 26.8 10.4182 19,412.19 380,354.39 Rear Channel (bottom) 0.00 26.8 10.4182 3,477.70 26,063.08 Rear Channel Head -87.25 26.8 * 1,358.05 5,686.52 *Moment of Inertia I varies over the length of the component Seismic Shear Report: Empty, Corroded Elevation of bottom Elastic modulus E Inertia I Seismic shear at Bending Moment at Component above base (in) (106 psi) (ft4) Bottom (lbf) Bottom (lbf-ft) Front Head 360.50 28.3 * 702.52 931.30 Front Channel 327.50 28.3 10.4182 1,170.45 3,516.28 Tubesheet 326.00 28.3 428.6244 2,134.25 3,722.87 Shell 53.25 28.3 10.4182 15,225.48 238,398.41 Rear Tubesheet 51.75 28.3 428.6244 15,380.34 240,311.31 Rear Channel (top) 0.00 28.3 10.4182 15,443.22 306,799.19 Rear Channel (bottom) 0.00 28.3 10.4182 469.50 7,483.62 Rear Channel Head -87.25 28.3 * 244.09 4,553.49 *Moment of Inertia I varies over the length of the component Seismic Shear Report: Vacuum, Corroded Elevation of bottom Elastic modulus E Inertia I Seismic shear at Bending Moment at Component above base (in) (106 psi) (ft4) Bottom (lbf) Bottom (lbf-ft) Front Head 360.50 26.8 * 867.37 1,149.84 Front Channel 327.50 26.8 10.4182 1,445.09 4,341.38 Tubesheet 326.00 26.8 428.6244 2,635.05 4,596.44 Shell 53.25 26.8 10.4182 19,143.35 294,371.47 Rear Tubesheet 51.75 26.8 428.6244 19,334.55 296,776.40 Rear Channel (top) 0.00 26.8 10.4182 19,412.19 380,354.39 Rear Channel (bottom) 0.00 26.8 10.4182 3,477.70 26,063.08 Rear Channel Head -87.25 26.8 * 1,358.05 5,686.52 *Moment of Inertia I varies over the length of the component 11.4.3: Maximum considered earthquake spectral response acceleration The maximum considered earthquake spectral response acceleration at short period, SMS 2/10/2007 10:33:19 AM 312/368
- 314. SMS = Fa* Ss = 1.0000 * 100.00 / 100 = 1.0000 The maximum considered earthquake spectral response acceleration at 1 s period, SM1 SM1 = Fv * S1 = 1.4000 * 40.00 / 100 = 0.5600 11.4.4: Design spectral response acceleration parameters Design earthquake spectral response acceleration at short period, SDS SDS = 2 / 3 * SMS = 2 / 3 * 1.0000 = 0.6667 Design earthquake spectral response acceleration at 1 s period, SD1 SD1 = 2 / 3 * SM1 = 2 / 3 * 0.5600 = 0.3733 12.4.2.3: Seismic Load Combinations: Vertical Term Factor is applied to dead load. Compressive Side: = 1.0 + 0.14 * SDS = 1.0 + 0.14 * 0.6667 = 1.0933 Tensile Side: = 0.6 - 0.14 * SDS = 0.6 - 0.14 * 0.6667 = 0.5067 Base Shear Calculations Operating, Corroded Empty, Corroded Vacuum, Corroded Base Shear Calculations: Operating, Corroded The base shear Fp is as per Equation 13.3-1 below, provided its value is between FpMin and FpMax Fp = 0.40 * ap * SDS* Wp / (Rp / Ip) * (1 + 2 * z / h) = 0.40 * 1.0000 * 0.6667 * 122707.8047/ (3.0000 / 1.0000) * (1 + 2 * 1.0000) = 32722.0820 lb FpMin = 0.30 * SDS * Ip * Wp = 0.30 * 0.6667 * 1.0000 * 122707.8047 = 24,541.56 lb FpMax = 1.60 * SDS * Ip * Wp = 1.60 * 0.6667 * 1.0000 * 122707.8047 = 130,888.33 lb Fp = 32,722.08 lb 12.4.2.1 Seismic Load Combinations: Horizontal Seismic Load Effect, Eh QE = Fp Eh = 0.7 * ρ * QE (Only 70% of seismic load considered as per Section 2.4.1) = 0.70 * 1.0000 * 32,722.08 = 22,905.46 lb 2/10/2007 10:33:19 AM 313/368
- 315. Base Shear Calculations:Empty, Corroded The base shear Fp is as per Equation 13.3-1 below, provided its value is between FpMin and FpMax Fp = 0.40 * ap * SDS* Wp / (Rp / Ip) * (1 + 2 * z / h) = 0.40 * 1.0000 * 0.6667 * 85247.7578/ (3.0000 / 1.0000) * (1 + 2 * 1.0000) = 22732.7363 lb FpMin = 0.30 * SDS * Ip * Wp = 0.30 * 0.6667 * 1.0000 * 85247.7578 = 17,049.55 lb FpMax = 1.60 * SDS * Ip * Wp = 1.60 * 0.6667 * 1.0000 * 85247.7578 = 90,930.95 lb Fp = 22,732.74 lb 12.4.2.1 Seismic Load Combinations: Horizontal Seismic Load Effect, Eh QE = Fp Eh = 0.7 * ρ * QE (Only 70% of seismic load considered as per Section 2.4.1) = 0.70 * 1.0000 * 22,732.74 = 15,912.92 lb Base Shear Calculations: Vacuum, Corroded The base shear Fp is as per Equation 13.3-1 below, provided its value is between FpMin and FpMax Fp = 0.40 * ap * SDS* Wp / (Rp / Ip) * (1 + 2 * z / h) = 0.40 * 1.0000 * 0.6667 * 122707.8047/ (3.0000 / 1.0000) * (1 + 2 * 1.0000) = 32722.0820 lb FpMin = 0.30 * SDS * Ip * Wp = 0.30 * 0.6667 * 1.0000 * 122707.8047 = 24,541.56 lb FpMax = 1.60 * SDS * Ip * Wp = 1.60 * 0.6667 * 1.0000 * 122707.8047 = 130888.3281 lb Fp = 32,722.08 lb 12.4.2.1 Seismic Load Combinations: Horizontal Seismic Load Effect, Eh QE = Fp Eh = 0.7 * ρ * QE (Only 70% of seismic load considered as per Section 2.4.1) = 0.70 * 1.0000 * 32,722.08 = 22,905.46 lb 2/10/2007 10:33:19 AM 314/368
- 316. Wind Code Building Code: ASCE 7-05 Elevation of base above grade: 0.0000 ft Increase effective outer diameter by: 0.0000 ft Wind Force Coefficient Cf: 0.7400 Basic Wind Speed:, V: 85.0000 mph Importance Factor:, I: 1.0000 Exposure category: B Wind Directionality Factor, Kd: 0.9500 Topographic Factor, Kzt: 1.0000 Vessel Characteristics Vessel height, h: 32.5573 ft Vessel Minimum Diameter, b Operating, Corroded: 9.5000 ft Empty, Corroded: 9.5000 ft Fundamental Frequency, n1 Operating, Corroded: 14.1271 Hz Empty, Corroded: 14.4355 Hz Vacuum, Corroded: 14.1271 Hz Damping coefficient, β Operating, Corroded: 0.0243 Empty, Corroded: 0.0200 Vacuum, Corroded: 0.0243 Table Lookup Values 2.4.1 Basic Load Combinations for Allowable Stress Design The following load combinations are considered in accordance with ASCE section 2.4.1: 5. D+H+W 7. 0.6D + H + W = 0.6D + H + W Where D = Dead load H = Pressure load W = Wind load Wind Deflection Reports: Operating, Corroded Empty, Corroded Vacuum, Corroded Wind Pressure Calculations Wind Deflection Report: Operating, Corroded Elevation of Platform Total wind bending Effective OD Elastic modulus Inertia Deflection Component bottom above wind shear at shear at moment at (ft) E (106 psi) I (ft4) at top (in) base (in) Bottom (lbf) Bottom (lbf) Bottom (lbf-ft) Front Head 360.50 9.50 26.9 * 0.00 187.07 197.73 0.0039 Front Channel 327.50 9.50 26.9 10.42 0.00 448.32 1,071.39 0.0035 Tubesheet 326.00 9.67 26.9 428.6 0.00 460.41 1,128.19 0.0031 2/10/2007 10:33:19 AM 315/368
- 317. Shell 53.25 9.50 26.9 10.42 0.00 2,619.68 40,173.12 0.0031 Rear Tubesheet 51.75 9.67 26.9 428.6 0.00 2,631.76 40,501.34 0.0001 Rear Channel (top) 0.00 9.50 26.9 10.42 0.00 3,041.45 52,734.19 0.0001 Rear Channel (bottom) 0.00 9.50 26.9 10.42 0.00 878.39 8,330.42 0.0001 Rear Channel Head -87.25 9.52 26.9 * 0.00 187.66 4,398.73 0.0001 *Moment of Inertia I varies over the length of the component Wind Deflection Report: Empty, Corroded Elevation of Platform Total wind bending Effective OD Elastic modulus Inertia Deflection Component bottom above wind shear at shear at moment at (ft) E (106 psi) I (ft4) at top (in) base (in) Bottom (lbf) Bottom (lbf) Bottom (lbf-ft) Front Head 360.50 9.50 28.3 * 0.00 187.07 197.73 0.0037 Front Channel 327.50 9.50 28.3 10.42 0.00 448.32 1,071.39 0.0033 Tubesheet 326.00 9.67 28.3 428.6 0.00 460.41 1,128.19 0.0029 Shell 53.25 9.50 28.3 10.42 0.00 2,619.68 40,173.12 0.0029 Rear Tubesheet 51.75 9.67 28.3 428.6 0.00 2,631.76 40,501.34 0.0001 Rear Channel (top) 0.00 9.50 28.3 10.42 0.00 3,041.45 52,734.19 0.0001 Rear Channel (bottom) 0.00 9.50 28.3 10.42 0.00 878.39 8,330.42 0.0000 Rear Channel Head -87.25 9.52 28.3 * 0.00 187.66 4,398.73 0.0001 *Moment of Inertia I varies over the length of the component Wind Deflection Report: Vacuum, Corroded Elevation of Platform Total wind bending Effective OD Elastic modulus Inertia Deflection Component bottom above wind shear at shear at moment at (ft) E (106 psi) I (ft4) at top (in) base (in) Bottom (lbf) Bottom (lbf) Bottom (lbf-ft) Front Head 360.50 9.50 26.9 * 0.00 187.07 197.73 0.0039 Front Channel 327.50 9.50 26.9 10.42 0.00 448.32 1,071.39 0.0035 Tubesheet 326.00 9.67 26.9 428.6 0.00 460.41 1,128.19 0.0031 Shell 53.25 9.50 26.9 10.42 0.00 2,619.68 40,173.12 0.0031 Rear Tubesheet 51.75 9.67 26.9 428.6 0.00 2,631.76 40,501.34 0.0001 Rear Channel (top) 0.00 9.50 26.9 10.42 0.00 3,041.45 52,734.19 0.0001 Rear Channel (bottom) 0.00 9.50 26.9 10.42 0.00 878.39 8,330.42 0.0001 Rear Channel Head -87.25 9.52 26.9 * 0.00 187.66 4,398.73 0.0001 *Moment of Inertia I varies over the length of the component Wind Pressure (WP) Calculations Gust Factor (G¯) Calculations Kz = 2.01 * (Z/Zg)2/α = 2.01 * (Z/1200.0000)0.2857 qz = 0.00256 * Kz * Kzt * Kd * V2 * I psf = 0.00256 * Kz * 1.0000 * 0.9500 * 85.00002 * 1.0000 = 17.5712 * Kz WP = qz * G¯ * Cf (Minimum 10 lb/ft2) = qz * G¯ * 0.7400 (Minimum 10 lb/ft2) 2/10/2007 10:33:19 AM 316/368
- 318. Design Wind Pressures WP: Height Z qz WP: Operating WP: Empty WP: hydrotest Kz Vacuum (') (psf) (psf) (psf) (psf) (psf) 15.0 0.5747 10.10 10.00 10.00 N.A. 10.00 20.0 0.6240 10.96 10.00 10.00 N.A. 10.00 25.0 0.6650 11.69 10.00 10.00 N.A. 10.00 30.0 0.7006 12.31 10.00 10.00 N.A. 10.00 40.0 0.7606 13.36 10.00 10.00 N.A. 10.00 Design Wind Force determined from: F = Pressure * Af , where Af is the projected area. Gust Factor Calculations Operating, Corroded Empty, Corroded Vacuum, Corroded Gust Factor Calculations: Operating, Corroded z¯ = 0.60 * h = 0.60 * 32.5573 = 30.0000 Iz¯ = c * (33 / z¯)1/6 = 0.3000 * (33 / 30.0000)1/6 = 0.3048 Lz¯ = l * (z¯ / 33)ep = 320.0000 * (30.0000 / 33)0.3333 = 309.9934 Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((9.5000 + 32.5573) / 309.9934)0.63)) = 0.9210 G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.3048 * 0.9210) / (1 + 1.7 * 3.40 * 0.3048) = 0.8784 Gust Factor Calculations: Empty, Corroded z¯ = 0.60 * h = 0.60 * 32.5573 = 30.0000 Iz¯ = c * (33 / z¯)1/6 = 0.3000 * (33 / 30.0000)1/6 = 0.3048 Lz¯ = l * (z¯ / 33)ep = 320.0000 * (30.0000 / 33)0.3333 = 309.9934 Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((9.5000 + 32.5573) / 309.9934)0.63)) = 0.9210 G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) 2/10/2007 10:33:19 AM 317/368
- 319. = 0.925 *(1 + 1.7 * 3.40* 0.3048 * 0.9210) / (1 + 1.7 * 3.40 * 0.3048) = 0.8784 Gust Factor Calculations: Vacuum, Corroded z¯ = 0.60 * h = 0.60 * 32.5573 = 30.0000 Iz¯ = c * (33 / z¯)1/6 = 0.3000 * (33 / 30.0000)1/6 = 0.3048 Lz¯ = l * (z¯ / 33)ep = 320.0000 * (30.0000 / 33)0.3333 = 309.9934 Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((9.5000 + 32.5573) / 309.9934)0.63)) = 0.9210 G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.3048 * 0.9210) / (1 + 1.7 * 3.40 * 0.3048) = 0.8784 Table Lookup Values α = 7.0000, Zg = 1200.0000 ' [Table 6-2, page 78] c = 0.3000, l = 320.0000, ep = 0.3333 [Table 6-2, page 78] a¯ = 0.2500, b¯ = 0.4500 [Table 6-2, page 78] gQ = 3.40 [6.5.8.1 page 26] gv = 3.40 [6.5.8.1 page 26] 2/10/2007 10:33:19 AM 318/368
- 320. Baffle Summary Report Distance from Cut Distance Baffle Name Cut Direction Baffle Weight (lb)¹ Front Tubesheet (in) from Center (in) Baffle #1 67.250 Downwards 0.000 298.522 Baffle #2 109.125 Upwards 0.000 298.522 Baffle #3 151.000 Downwards 0.000 298.522 Baffle #4 192.875 Upwards 0.000 298.522 Baffle #5 234.750 Downwards 0.000 298.522 Baffle Material: SA-240-304 Baffle Type: Single Segmental Baffle Orientation: Horizontal (0.438" TEMA Baffle Shell Clearance: 0.750" (Max)) Baffle Thickness: 0.375" (0.750" TEMA) Baffle Diameter: 111.750" Baffle Count: 5 Maximum Tubesheet to Baffle Distance: 109.125" Maximum Baffle to Baffle Distance: 83.750" Distance between Tubesheet Shell Side Faces: 272.750" Baffle Group Weight: 1492.610 lb Baffle Material Density (assumed): 0.283 lb/in³ ¹Note: Baffle weight is approximated. 2/10/2007 10:33:19 AM 319/368
- 321. Data Inputs Summary General Options Identifier Heat Exchanger ASME VIII-1, 2004 Codes ASME only design Edition, A06 Addenda Fixed Description - One pass shell - tubesheets Expansion Tubesheets of joint Shell material: SA-240 304L differing thickness Perform ASME tube design check not method not used used Maximum tubesheet to Maximum tube tube Tube supportsbaffle plates present support separation: Baffles support all tubes: No support 83.7500 in distance: 109.1250 in Tube Options Tube material: SA-249 TP316L Wld tube Length between outer tubesheet faces: Lt= 275.7500 in Tube dimensions, new, in do= 1.2500 tt= 0.0490 Inner corrosion: 0.0000 Outer corrosion: 0.0000 Length of expanded portion of tubes: Tube to tubesheet joint option Table A-2 Type k, Expanded, not enhanced 1.2500 in Channel and Shell Options Shell dimensions Material: Di= 113.2500 ts= 0.3750 Inner corrosion: 0.0000 Outer corrosion: 0.0000 MDMT: 20.00 °F new, in SA-240 304L Type: bonnet Ellipsoidal head Inner corrosion: 0.0000 Outer corrosion: 0.0000 MDMT: 20.00 °F Front channel dimensions, new, in Cylinder SA-240 304L Di= 113.2500 tc= 0.3750 L= 33.0000 Closure SA-240 304L Di= 113.2500 tmin= 0.3750 LSF= 1.5000 Type: bonnet Ellipsoidal head Inner corrosion: 0.0000 Outer corrosion: 0.0000 MDMT: 20.00 °F Rear channel dimensions, new, in Cylinder SA-240 304L Di= 113.2500 tc= 0.3750 L= 139.0000 Closure SA-240 304L Di= 113.2500 tmin= 0.4375 LSF= 1.5000 Tubesheet Options Tube Layout Tube count: 3408 Tube pitch: 1.6563 in Pattern: 60° (rotated triangular) Material: Shell side Tube side Tubesheet SA-240 T = 1.5000 OD = 116.0000 MDMT = 20.00 °F corrosion = 0.0000 corrosion = 0.0000 pass groove depth = 0.0000 304 Tubesheet dimensions, in (front and rear) Impact test Not normalized and produced is PWHT not performed Integral shell side Integral tube side to fine grain practice not performed 2/10/2007 10:33:19 AM 320/368
- 322. Design Conditions Summary Design Conditions Shell side Description Design Vacuum-SS Vacuum-TS Tube side hydrotest hydrotest Pressure (psi) 50.00 50.00 -15.00 69.46 0.00 Design temperature (°F) 325.00 325.00 325.00 70.00 70.00 Tube Side Mean temperature (°F) 282.50 282.50 282.50 70.00 70.00 αT (in/in/°F) 9.17E-06 9.17E-06 9.17E-06 8.50E-06 8.50E-06 Et (psi) 27,087,500 27,087,500 27,087,500 28,300,000 28,300,000 St (psi) 16,471* 16,471* 16,471* 26,471* 26,471* Sy (psi) 18,625 18,625 18,625 25,000 25,000 Pressure (psi) 50.00 -15.00 50.00 0.00 77.16 Design temperature (°F) 325.00 325.00 325.00 70.00 70.00 Shell Side Mean temperature (°F) 254.50 254.50 254.50 70.00 70.00 αs (in/in/°F) 9.11E-06 9.11E-06 9.11E-06 8.50E-06 8.50E-06 Es (psi) 27,227,500 27,227,500 27,227,500 28,300,000 28,300,000 Ss (psi) 16,475 16,475 16,475 25,050 25,050 Design temperature (°F) 325.00 325.00 325.00 70.00 70.00 Tubesheet S (psi) 18,750 18,750 18,750 30,000 30,000 *The allowable tensile stress from Section II-D has been divided by 0.85 as the calculated stresses are longitudinal. 2/10/2007 10:33:19 AM 321/368
- 323. Materials and GasketsSummary Materials And Gaskets Part Quantity Size Material Gasket Front ellipsoidal head 1 113.25 ID x 0.3750 in min thk SA-240 304L - 113.25 ID x 0.3750 thk Front channel cylinder 1 x 33.00 in SA-240 304L - Front tubesheet 1 116.00 OD x 1.5000 in thk SA-240 304 - 1.25 OD x 0.0490 wall Tubes 3408 x 275.75 in SA-249 TP316L Wld tube - 113.25 ID x 0.3750 in thk Shell cylinder 1 x 272.75 in SA-240 304L - Rear tubesheet 1 116.00 OD x 1.5000 in thk SA-240 304 - 113.25 ID x 0.3750 thk Rear channel cylinder 1 x 139.00 in SA-240 304L - Rear ellipsoidal head 1 113.25 ID x 0.4375 in min thk SA-240 304L - 2/10/2007 10:33:19 AM 322/368
- 324. Nozzle Materials AndGaskets Part Quantity Size Material Gasket 1 12 in 150# SO A105 Circulation Juice Inlet (N3) Garlock 1/16" Thk Garlock 3200/3400 1 12" Sch 40S (Std) SA-312 TP304L Wld pipe Bolts for Circulation Juice Inlet (N3) 12 0.875 in dia. bolt x 4.0000 in long SA-193 B7 1 3 in 150# SO A182 F304L Air & Gas Vent (N6.4) - 1 3" Sch 40S (Std) SA-312 TP304L Wld pipe Bolts for Air & Gas Vent (N6.4) 4 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 8 in 150# WN A105 Condensate Outlet (N2.1) - 1 8" Sch 80S (XS) SA-312 TP304L Wld pipe Bolts for Condensate Outlet (N2.1) 8 0.75 in dia. bolt x 3.5000 in long SA-193 B7 1 8 in 150# SO A182 F304L Condensate Nozzle (N2.2) Garlock 1/16" Thk Garlock 3200/3400 1 8" Sch 80S (XS) SA-312 TP304L Wld pipe Bolts for Condensate Nozzle (N2.2) 8 0.75 in dia. bolt x 3.5000 in long SA-193 B7 1 4 in 150# SO A182 F304L Air & Gas Vent (N6.1) Garlock 1/16" Thk Garlock 3200/3400 1 4" Sch 80S (XS) SA-312 TP304L Wld pipe Bolts for Air & Gas Vent (N6.1) 8 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 4 in 150# SO A182 F304L Air & Gas Vent (N6.2) Garlock 1/16" Thk Garlock 3200/3400 1 4" Sch 80S (XS) SA-312 TP304L Wld pipe Bolts for Air & Gas Vent (N6.2) 8 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 4 in 150# SO A182 F304 Air & Gas Vent (N6.3) Garlock 1/16" Thk Garlock 3200/3400 1 4" Sch 80 (XS) SA-106 B Smls pipe Bolts for Air & Gas Vent (N6.3) 8 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 12 in 150# SO A105 Vapor By-Pass (N11) Garlock 1/16" Thk Garlock 3200/3400 1 12" Sch 40S (Std) SA-312 TP304L Wld pipe 1 12.75 ID x 2.00 wide x 0.2500 in thk pad SA-516 70 Bolts for Vapor By-Pass (N11) 12 0.875 in dia. bolt x 4.0000 in long SA-193 B7 1 24 in 150# SO A105 Calandria Manway (M2) Garlock 1/16" Thk Garlock 3200/3400 1 24" Sch 20 (Std) SA-312 TP304L Wld pipe 1 24.00 ID x 3.00 wide x 0.3750 in thk pad SA-516 70 Bolts for Calandria Manway (M2) 20 1.25 in dia. bolt x 5.7500 in long SA-193 B7 1 3 in 150# SO A182 F304L Air & Gas Vent (N6.5) Garlock 1/16" Thk Garlock 3200/3400 1 3" Sch 40S (Std) SA-312 TP304L Wld pipe Bolts for Air & Gas Vent (N6.5) 4 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 3 in 150# SO A182 F304L Air & Gas Vent (N6.6) Garlock 1/16" Thk Garlock 3200/3400 1 3.07 ID x 0.2160 in wall SA-240 304L Bolts for Air & Gas Vent (N6.6) 4 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 20 in 150# SO A105 Vapor Outlet (N5.1) Garlock 1/16" Thk Garlock 3200/3400 1 20" Sch 20 (Std) SA-312 TP304L Wld pipe 1 20.00 ID x 3.50 wide x 0.3750 in thk pad SA-516 70 Bolts for Vapor Outlet (N5.1) 20 1.125 in dia. bolt x 5.2500 in long SA-193 B7 1 20 in 150# SO A105 Vapor Outlet (N5.2) Garlock 1/16" Thk Garlock 3200/3400 1 20" Sch 20 (Std) SA-106 B Smls pipe 1 20.00 ID x 3.50 wide x 0.3750 in thk pad SA-516 70 2/10/2007 10:33:19 AM 323/368
- 325. Bolts for VaporOutlet (N5.2) 20 1.125 in dia. bolt x 5.2500 in long SA-193 B7 1 24 in 150# SO A105 Bottom Manway (M1) Garlock 1/16" Thk Garlock 3200/3400 1 24" X Heavy SA-312 TP304L Wld pipe 1 24.00 ID x 4.25 wide x 0.5000 in thk pad SA-516 70 Bolts for Bottom Manway (M1) 20 1.25 in dia. bolt x 5.7500 in long SA-193 B7 1 3 in 150# SO A182 F304L Upper Level Sensor (N9.1) Garlock 1/16" Thk Garlock 3200/3400 1 3" Sch 40S (Std) SA-312 TP304L Wld pipe Bolts for Upper Level Sensor (N9.1) 4 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 3 in 150# SO A182 F304L Spray Nozzle Inlet (N10.1) Garlock 1/16" Thk Garlock 3200/3400 1 3" Sch 40S (Std) SA-312 TP304L Wld pipe Bolts for Spray Nozzle Inlet (N10.1) 4 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 3 in 150# WN A182 F304L Spray Nozzle Inlet (N10.2) Garlock 1/16" Thk Garlock 3200/3400 1 3" Sch 40S (Std) SA-312 TP304L Wld pipe Bolts for Spray Nozzle Inlet (N10.2) 4 0.625 in dia. bolt x 3.0000 in long SA-193 B7 1 10 in 150# SO A105 Juice Inlet (N8) Garlock 1/16" Thk Garlock 3200/3400 1 10" Sch 80S (XS) SA-312 TP304L Wld pipe Bolts for Juice Inlet (N8) 12 0.875 in dia. bolt x 3.7500 in long SA-193 B7 1 10 in 150# SO A182 F304L Juice Outlet (N7) - 1 10" Sch 80S (XS) SA-312 TP304L Wld pipe Bolts for Juice Outlet (N7) 12 0.875 in dia. bolt x 3.7500 in long SA-193 B7 1 14 in 150# SO A105 Circulation Juice Outlet (N4) Garlock 1/16" Thk Garlock 3200/3400 1 14" Sch 30 (Std) SA-312 TP304L Wld pipe Bolts for Circulation Juice Outlet (N4) 12 1 in dia. bolt x 4.2500 in long SA-193 B7 1 3 in 150# SO A182 F304L Lower Level Connection (N9.2) Garlock 1/16" Thk Garlock 3200/3400 1 3" Sch 40S (Std) SA-249 TP304L Wld tube Bolts for Lower Level Connection (N9.2) 4 0.625 in dia. bolt x 3.0000 in long SA-193 B7 2/10/2007 10:33:19 AM 324/368
- 326. Shell side liquidlevel Location from datum 154.5000" Operating Liquid Specific Gravity 1.0000 Test liquid specific gravity 1.0000 2/10/2007 10:33:19 AM 325/368
- 327. Tube side liquidlevel Location from datum 65.0000" Operating Liquid Specific Gravity 1.1000 Test liquid specific gravity 1.0000 2/10/2007 10:33:19 AM 326/368
- 328. Tubes ASME Section VIIIDivision 1, 2004 Edition, A06 Addenda Component: Tubes Material specification: SA-249 TP316L Wld tube (II-D p. 65.001, ln. 12) Impact test exempt per UHA-51(d) Internal design pressure: P = 65 psi @ 325°F External design pressure: Pe = 65 psi @ 325°F Static liquid head: Ps = 0.0000 psi (SG=1.1000, Hs=0.0000" Operating head) Pse = 0.5054 psi (SG=1.0000, Hs=14.0000" Vacuum head) Pth = 4.3623 psi (SG=1.0000, Hs=120.8480", Horizontal test head) Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000" Design MDMT = 20.00°F No impact test performed Rated MDMT = -320.00°F Material is not normalized Material is not produced to Fine Grain Practice PWHT is not performed Estimated weight: New = 14.7844 lb corr = 14.7844 lb Capacity: New = 1.2442 gal corr = 1.2442 gal OD = 1.2500" Length Lc = 275.7500" t = 0.0490" Design thickness, (at 325.00°F) Appendix 1-1 t = P*Ro/(S*E + 0.40*P) + Corrosion = 65.00*0.6250/(14000*1.00 + 0.40*65.00) + 0.0000 = 0.0029" Maximum allowable working pressure, (at 325.00°F) Appendix 1-1 P = S*E*t/(Ro - 0.40*t) - Ps = 14000*1.00*0.0429 / (0.6250 - 0.40*0.0429) - 0.0000 = 987.4969 psi Maximum allowable pressure, (at 70.00°F) Appendix 1-1 P = S*E*t/(Ro - 0.40*t) = 14200*1.00*0.0429 / (0.6250 - 0.40*0.0429) = 1001.6040 psi External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 275.7500/1.2500 = 50.0000 Do/t = 1.2500/0.018434 = 67.8088 From table G: A = 0.000254 From table HA-4: B = 3331.3716 psi Pa = 4*B/(3*(Do/t)) = 4*3331.3716/(3*(1.2500/0.018434)) = 65.5052 psi 2/10/2007 10:33:19 AM 327/368
- 329. Design thickness forexternal pressure Pa = 65.5052 psi = t + Corrosion = 0.018434 + 0.0000 = 0.0184" Maximum Allowable External Pressure, (Corroded & at 325.00°F) UG-28(c) L/Do = 275.7500/1.2500 = 50.0000 Do/t = 1.2500/0.0429 = 29.1545 From table G: A = 0.001311 From table HA-4: B = 7372.0220 psi Pa = 4*B/(3*(Do/t)) - Pse 4*7372.0220/(3*(1.2500/0.0429)) - = 0.5054 = 336.6418 psi 2/10/2007 10:33:19 AM 328/368
- 330. Tubesheet -- ASME ASMESection VIII, Division 1, 2004 Edition, A06 Addenda Tubesheet Type of heat exchanger: Fixed Both Ends FixedStationary tubesheet per Fig. UHX-13.1 Configuration a: Type of construction: both sides integral Tubesheet material specification: SA-240 304 (II-D p. 82, ln. 38) Tube layout: Triangular Tubesheet outer diameter, A: 116.0000 in Tubesheet thickness, h: 1.5000 in (tdesign = 0.2898 in) Number of tubes, Nt: 3408 Tube pitch, p: 1.6563 in Radius to outer tube center, ro: 53.2230 in Total area of untubed lanes, AL: 560.0000 in2 Pass partition groove depth, hg: 0.0000 in Corrosion allowance shell side , cs: 0.0000 in Corrosion allowance tube side , ct: 0.0000 in Tubesheet poisson's ratio, ν: 0.3000 Consider radial thermal expansion per UHX-13.8: No Shell Shell material specification: SA-240 304L (II-D p. 78, ln. 29) Shell inner diameter, Ds: 113.2500 in Shell thickness, ts: 0.3750 in Shell inner corrosion allowance: 0.0000 in Shell outer corrosion allowance: 0.0000 in Shell poisson's ratio, νs: 0.3100 Channel Channel material specification: SA-240 304L (II-D p. 78, ln. 29) Channel inner diameter, Dc: 113.2500 in Channel thickness, tc: 0.3750 in Channel inner corrosion allowance: 0.0000 in Channel outer corrosion allowance: 0.0000 in Channel poisson's ratio, νc: 0.3000 Tubes Tube material specification: SA-249 TP316L Wld tube (II-D p. 65.001, ln. 12) Tube outer diameter, dt: 1.2500 in Tube nominal thickness, tt: 0.0490 in Tube length between outer tubesheet faces, Lt: 275.7500 in Tube inner corrosion allowance: 0.0000 in Tube outer corrosion allowance: 0.0000 in Tube expansion depth ratio, ρ: 0.8500 Tube poisson's ratio, νt: 0.3000 Tube Supports Tube supports present: Yes Support all tubes: No Maximum distance from tubesheet to first support: 109.1250 in Maximum distance between tube supports: 83.7500 in Tube-To-Tubesheet Joints Calculation method: Appendix A Joint type: Table A-2 Type k, Expanded, not enhanced Tube-To-Tubesheet Joint Loads Summary Tables Tubesheet Design Thickness Summary Condition 2/10/2007 10:33:19 AM 329/368
- 331. tdesign (in) Design 0.2682190 Vacuum-SS 0.2872648 Vacuum-TS 0.2898483 Tube side hydrotest 0.2475510 Shell side hydrotest 0.1791782 Pressures and Temperatures Shell side design Tube side design Tubesheet design Shell design Channel design Tube design Shell mean Tube mean pressure pressure temp temp temp temp temp temp Condition Ps Pt T Ts Tc Tt Ts,m Tt,m (psi) (psi) (°F) (°F) (°F) (°F) (°F) (°F) Design 50 50 325 325 325 325 254.50 282.50 Vacuum-SS -15 50 325 325 325 325 254.50 282.50 Vacuum-TS 50 -15 325 325 325 325 254.50 282.50 Tube side 0 69.46 70 70 70 70 70 70 hydrotest Shell side 77.16 0 70 70 70 70 70 70 hydrotest Material Properties Modulus of Allowable Yield Mean Mean Coefficient Coefficient Condition Component Material Elasticity Stress Stress Thermal Thermal (psi) (psi) (psi) Expansion Expansion αs,m = Shell SA-240 304L Es = 26,850,000 Ss = 16,475 Sy,s =18,775 α's = 9.90E-06 9.11E-06 Design Channel SA-240 304L Ec =26,850,000 Sc =16,475 Sy,c =18,775 α'c = 9.80E-06 N/A Tubesheet SA-240 304 E =26,850,000 S =18,750 S =21,975 α' = 8.74E-06 N/A αt,m = Tubes SA-249 TP316L Wld tube Et =26,850,000 St =16,471* Sy,t =18,625 N/A 9.17E-06 αs,m = Shell SA-240 304L Es = 26,850,000 Ss = 16,475 Sy,s =18,775 α's = 8.50E-06 9.11E-06 Vacuum-SS Channel SA-240 304L Ec =26,850,000 Sc =16,475 Sy,c =18,775 α'c = 8.50E-06 N/A Tubesheet SA-240 304 E =26,850,000 S =18,750 S =21,975 α' = 8.50E-06 N/A αt,m = Tubes SA-249 TP316L Wld tube Et =26,850,000 St =16,471* Sy,t =18,625 N/A 9.17E-06 αs,m = Shell SA-240 304L Es = 26,850,000 Ss = 16,475 Sy,s =18,775 α's = 8.50E-06 9.11E-06 Vacuum-TS Channel SA-240 304L Ec =26,850,000 Sc =16,475 Sy,c =18,775 α'c = 8.50E-06 N/A Tubesheet SA-240 304 E =26,850,000 S =18,750 S =21,975 α' = 8.50E-06 N/A αt,m = Tubes SA-249 TP316L Wld tube Et =26,850,000 St =16,471* Sy,t =18,625 N/A 9.17E-06 αs,m = Shell SA-240 304L Es = 28.3E+06 Ss = 25,050 Sy,s =25,000 α's = 8.50E-06 8.50E-06 Tube side hydrotest Channel SA-240 304L Ec =28.3E+06 Sc =25,050 Sy,c =25,000 α'c = 8.50E-06 N/A Tubesheet SA-240 304 E =28.3E+06 S =30,000 S =30,000 α' = 8.50E-06 N/A αt,m = Tubes SA-249 TP316L Wld tube Et =28.3E+06 St =26,471* Sy,t =25,000 N/A 8.50E-06 αs,m = Shell SA-240 304L Es = 28.3E+06 Ss = 25,050 Sy,s =25,000 α's = 8.50E-06 8.50E-06 Shell side hydrotest Channel SA-240 304L Ec =28.3E+06 Sc =25,050 Sy,c =25,000 α'c = 8.50E-06 N/A Tubesheet SA-240 304 E =28.3E+06 S =30,000 S =30,000 α' = 8.50E-06 N/A 2/10/2007 10:33:19 AM 330/368
- 332. αt,m = Tubes SA-249 TP316L Wld tube Et =28.3E+06 St =26,471* Sy,t =25,000 N/A 8.50E-06 *The allowable tensile stress from Section II-D has been divided by 0.85 as the calculated stresses are longitudinal. Material Properties at Operating Temperatures Modulus of Allowable Yield Operating Condition Component Material Temperature Elasticity Stress Stress (°F) (psi) (psi) (psi) Shell SA-240 304L 254 27,230,000 16,700 20,120 Design Channel SA-240 304L 250 27,250,000 16,700 20,200 Tubesheet SA-240 304 285 27,075,000 19,065 22,760 Tubes SA-249 TP316L Wld tube 282.50 27,087,500 16,706* 19,385 Shell SA-240 304L 254 27,230,000 16,700 20,120 Vacuum-SS Channel SA-240 304L 250 27,250,000 16,700 20,200 Tubesheet SA-240 304 285 27,075,000 19,065 22,760 Tubes SA-249 TP316L Wld tube 282.50 27,087,500 16,706* 19,385 Shell SA-240 304L 254 27,230,000 16,700 20,120 Vacuum-TS Channel SA-240 304L 250 27,250,000 16,700 20,200 Tubesheet SA-240 304 285 27,075,000 19,065 22,760 Tubes SA-249 TP316L Wld tube 282.50 27,087,500 16,706* 19,385 *The allowable tensile stress from Section II-D has been divided by 0.85 as the calculated stresses are longitudinal. Calculations for Design Condition UHX-13.5.1 Step 1 Do = 2*ro + dt µ = (p - dt) / p d* = MAX{[dt - 2*tt*(Et / E)*(St / S)*ρ], [dt - 2*tt]} p* = p /(1 - 4*MIN(AL, 4*Do*p) /(π*Do2))0.5 µ* = (p* - d*)/p* hg' = MAX[(hg - ct), 0] for pressure load only. For load cases 4, 5, 6, 7 hg' = 0. ao = Do / 2 ρs = as / ao ρc = ac / ao xt = 1 - Nt*((dt - 2*tt)/(2*ao))2 xs = 1 - Nt*(dt/(2*ao))2 Condition Design New or corroded Do = 2*53.2230 + 1.2500 = 107.6960 New or corroded µ = (1.6563 - 1.2500) /1.6563 = 0.2453 2/10/2007 10:33:19 AM 331/368
- 333. * d = MAX{[1.2500 - 2*0.0490*(26,850,000 / 26,850,000)*(16,471 / 18,750)*0.8500], Load cases 1-3 1.1768267 New or corroded [1.2500 - 2*0.0490]} = * d = MAX{[1.2500 - 2*0.0490*(27,087,500 / 27,075,000)*(16,706 / 19,065)*0.8500], Load cases 4-7 1.1769739 [1.2500 - 2*0.0490]} = New or corroded p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097 New or corroded Load cases 1-3 µ* = (1.7096848 - 1.1768267)/1.7096848 = 0.311670 Load cases 4-7 µ* = (1.7096848 - 1.1769739)/1.7096848 = 0.311584 hg' = 0.0000 New or corroded ao = 107.6960 / 2 = 53.8480 New or corroded ρs = 56.6250 / 53.8480 = 1.051571 New or corroded ρc = 56.6250 / 53.8480 = 1.051571 New or corroded xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886 New or corroded xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053 UHX-13.5.2 Step 2 Ks = π*ts*(Ds + ts)*Es / L Kt = π*tt*(dt - tt)*Et / L Ks,t = Ks / (Nt*Kt) J = 1 / (1 + Ks/KJ) βs = (12*(1 - νs2))0.25 / ((Ds + ts)*ts)0.5 ks = βs*Es*ts3 / (6*(1 - νs2)) λs = (6*Ds / h3)*ks*(1 + h*βs + h2*βs2 / 2) δs = Ds2 / (4*Es*ts) * (1 - νs / 2) βc = (12*(1 - νc2))0.25 / ((Dc + tc)*tc)0.5 kc = βc*Ec*tc3 / (6*(1 - νc2)) λc = (6*Dc / h3)*kc*(1 + h*βc + h2*βc2 / 2) δc = Dc2 / (4*Ec*tc) * (1 - νc / 2) Condition Design Load cases New or 1-3 Ks = π*0.3750*(113.2500 + 0.3750)*26,850,000 / 272.7500 = 13,177,547.00 corroded Load cases 4-7 Ks = π*0.3750*(113.2500 + 0.3750)*27,230,000 / 272.7500 = 13,364,045.00 Load cases New or 1-3 Kt = π*0.0490*(1.2500 - 0.0490)*26,850,000 / 272.7500 = 18,199.88 corroded Load cases 4-7 Kt = π*0.0490*(1.2500 - 0.0490)*27,087,500 / 272.7500 = 18,360.86 Load cases New or 1-3 Ks,t = 13,177,547.00 / (3408*18,199.88) = 0.212455 corroded Load cases 4-7 Ks,t = 13,364,045.00 / (3408*18,360.86) = 0.213572 2/10/2007 10:33:19 AM 332/368
- 334. Load cases J = 1 as no expansion joint used New or 1-3 corroded Load cases J = 1 as no expansion joint used 4-7 New or corroded βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179 Load cases New or 1-3 ks = 0.2780179*26,850,000*0.37503 / (6*(1 - 0.31002)) = 72,583.73 corroded Load cases 4-7 ks = 0.2780179*27,230,000*0.37503 / (6*(1 - 0.31002)) = 73,610.98 Load cases λs = (6*113.2500 / 1.50003)*72,583.7266*(1 + 1.5000*0.2780179 + 1-3 21,978,486 New or 1.50002*0.27801792 / 2) = corroded Load cases λs = (6*113.2500 / 1.50003)*73,610.9844*(1 + 1.5000*0.2780179 + 4-7 22,289,542 1.50002*0.27801792 / 2) = Load cases New or 1-3 δs = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3100 / 2) = 2.6909E-04 corroded Load cases 4-7 δs = 113.25002 / (4*27,230,000*0.3750) * (1 - 0.3100 / 2) = 2.6533E-04 New or corroded βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858 Load cases New or 1-3 kc = 0.2784858*26,850,000*0.37503 / (6*(1 - 0.30002)) = 72,218.51 corroded Load cases 4-7 kc = 0.2784858*27,250,000*0.37503 / (6*(1 - 0.30002)) = 73,294.39 Load cases λc = (6*113.2500 / 1.50003)*72,218.5078*(1 + 1.5000*0.2784858 + 1-3 21,882,362 New or 1.50002*0.27848582 / 2) = corroded Load cases λc = (6*113.2500 / 1.50003)*73,294.3906*(1 + 1.5000*0.2784858 + 4-7 22,208,356 1.50002*0.27848582 / 2) = Load cases New or 1-3 δc = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3000 / 2) = 2.7068E-04 corroded Load cases 4-7 δc = 113.25002 / (4*27,250,000*0.3750) * (1 - 0.3000 / 2) = 2.6671E-04 UHX-13.5.3 Step 3 E* / E = α0 + α1*µ* + α2*µ*2 + α3*µ*3 + α4*µ*4 ν* = β0 + β1*µ* + β2*µ*2 + β3*µ*3 + β4*µ*4 η = (E*/E)*(1 - ν2) / (1 - ν*2) Xa = [24*(1 - ν*2)*Nt*Et*tt*(dt - tt)*ao2 / (E**L*h3)]0.25 Condition Design New or corroded h/p = 1.5000/1.6563 = 0.9056 Load cases New or 1-3 - from Fig. UHX-11.3(a) E*/E = 0.3370 corroded Load cases 4-7 - from Fig. UHX-11.3(a) E*/E = 0.3369 Load cases New or 1-3 E* = 0.3369805*26,850,000 = 9,047,927 corroded Load cases 4-7 E* = 0.3368625*27,075,000 = 9,120,553 Load cases New or 1-3 - from Fig. UHX-11.3(b) ν* = 0.3004 corroded 2/10/2007 10:33:19 AM 333/368
- 335. Load cases 4-7 - from Fig. UHX-11.3(b) ν* = 0.3004 Load cases Xa = [24*(1 - 0.30039792)*3408*26,850,000*0.0490*(1.2500 - 0.0490)*53.84802 / 1-3 14.2239 New or (9,047,927*272.7500*1.50003)]0.25 = corroded Load cases Xa = [24*(1 - 0.30043602)*3408*27,087,500*0.0490*(1.2500 - 0.0490)*53.84802 / 4-7 14.2267 (9,120,553*272.7500*1.50003)]0.25 = Load cases New or 1-3 Zd = 0.0005076 corroded Load cases 4-7 Zd = 0.0005073 Load cases New or 1-3 Zv = 0.0050230 corroded Load cases 4-7 Zv = 0.0050210 Load cases New or 1-3 Zm = 0.1012484 corroded Load cases 4-7 Zm = 0.1012277 UHX-13.5.4 Step 4 K = A / Do F = ((1 - ν*) / E*)*(λs + λc + E*ln(K)) Φ = (1 + ν*)*F Q1 = (ρs - 1 - Φ*Zv) / (1 + Φ*Zm) Qz1 = (Zd + Q1*Zv)*Xa4 / 2 Qz2 = (Zv + Q1*Zm)*Xa4 / 2 U = [Zv + (ρs - 1)*Zm]*Xa4 / (1 +Φ*Zm) Condition Design New or corroded K = 116.0000 / 107.6960 = 1.0771059 Load cases F = ((1 - 0.3003979) / 9,047,927)*(21,978,486.00 + 21,882,362.00 + 1-3 3.5456076 New or corroded 26,850,000*ln(1.0771)) = Load cases F = ((1 - 0.3004360) / 9,120,553)*(22,289,542.00 + 22,208,356.00 + 4-7 3.5673274 27,075,000*ln(1.0771)) = Load cases 1-3 Φ = (1 + 0.3003979)*3.5456076 = 4.6107008 New or corroded Load cases 4-7 Φ = (1 + 0.3004360)*3.5673274 = 4.6390811 Load cases 1-3 Q1 = (1.0515711 - 1 - 4.6107008*0.0050230) / (1 + 4.6107008*0.1012484) = 0.0193694 New or corroded Load cases 4-7 Q1 = (1.0515711 - 1 - 4.6390811*0.0050210) / (1 + 4.6390811*0.1012277) = 0.0192421 Load cases 1-3 Qz1 = (0.0005076 + 0.0193694*0.0050230)*14.22388644 / 2 = 12.3795 New or corroded Load cases 4-7 Qz1 = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692 Load cases 1-3 Qz2 = (0.0050230 + 0.0193694*0.1012484)*14.22388644 / 2 = 142.9404 New or corroded 2/10/2007 10:33:19 AM 334/368
- 336. Load cases 4-7 Qz2 = (0.0050210 + 0.0192421*0.1012277)*14.22668374 / 2 = 142.7397 Load cases U = [0.0050230 + (1.0515711 - 1)*0.1012484]*14.22388644 / (1 +4.6107008*0.1012484) 1-3 285.8809 New or corroded = Load cases U = [0.0050210 + (1.0515711 - 1)*0.1012277]*14.22668374 / (1 +4.6390811*0.1012277) 4-7 285.4795 = UHX-13.5.5 Step 5 γb = 0 Tr = (T' + Ts' + Tc') /3 Condition Design New or γb = 0 = 0 corroded UHX-13.5.5 Step 5 γ = [αt,m*(Tt,m - Ta) - αs,m*(Ts,m - Ta)]*L ωs = ρs*ks*βs*δs*(1 + h*βs) ωc = ρc*kc*βc*δc*(1 + h*βc) ωs* = ao2*(ρs2 - 1)*(ρs - 1) / 4 - ωs ωc* = ao2*[(ρc2 + 1)*(ρc - 1) / 4 - (ρs - 1) / 2] - ωc Condition Design Ps (psi) Pt (psi) Load Case 1 0 50 Load Case 2 50 0 Load Case 3 50 50 Load Case 4 0 0 Load Case 5 0 50 Load Case 6 50 0 Load Case 7 50 50 New or Load case 1, 2, 3 γ= 0.0000 corroded Load case 4, 5, 6, 7 γ = [9.17E-06*(282.50 - 70) - 9.11E-06*(254.50 - 70)]*272.7500 = 0.0728111 New or corroded All load cases ωs = 1.0515711*72,583.7266*0.2780179*2.690900E-04*(1 + 1.5000*0.2780179) = 8.0915 New or corroded All load cases ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362 New or corroded All load cases ωc = 1.0515711*72,218.5078*0.2784858*2.706823E-04*(1 + 1.5000*0.2784858) = 8.1160 2/10/2007 10:33:19 AM 335/368
- 337. New or ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212 corroded All load cases -4.1607 = UHX-13.5.6 Step 6 Ps' = (xs + 2*(1 - xs)*νt + 2 / Ks,t*(Ds / Do)2*νs - (ρs2 - 1) / (J*Ks,t) - (1 - J)*[Dj2 - (2*as)2] / (2*J*Ks,t*Do2))*Ps Pt' = (xt + 2*(1 - xt)*νt + 1 / (J*Ks,t))*Pt Pγ = Nt*Kt*γ / (π*ao2) PW = - U*γb*W / (2*π*ao2) Prim = - U / ao2*(ωs**Ps - ωc**Pt) Pe = J*Ks,t / (1 + J*Ks,t*[QZ1 + (ρs - 1)*QZ2] )*(Ps' - Pt' + Pγ + PW + Prim) Condition Design Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 - Load case 1, 4, 5 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 0 (2*1.0000000*0.2124548*107.69602))*0 = New or corroded Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 - Load case 2, 3 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 177.27 (2*1.0000000*0.2124548*107.69602))*50 = Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2135724*(113.2500 / 107.6960)2*0.3100 - Load case 6, 7 (1.05157112 - 1) / (1.0000000*0.2135724) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 176.56 (2*1.0000000*0.2135724*107.69602))*50 = Load case 1, 3 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*50 = 277.55 New or corroded Load case 2, 4, 6 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*0 = 0 Load case 5, 7 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2135724))*50 = 276.31 Load case New or 1, 2, 3 Pγ = 3408*18,199.88*0.0000000 / (π*53.84802) = 0 corroded Load case 4, 5, 6, 7 Pγ = 3408*18,360.86*0.0728111 / (π*53.84802) = 500.15 New or All load corroded cases PW = - 285.8808731*0*0.00 / (2*π*53.84802) = 0 Load case 1 Prim = - 285.8808731 / 53.84802*(-4.1361599*0 - -4.1607299*50) = -20.51 Load case 2 Prim = - 285.8808731 / 53.84802*(-4.1361599*50 - -4.1607299*0) = 20.39 New or Load case corroded 3 Prim = - 285.8808731 / 53.84802*(-4.1361599*50 - -4.1607299*50) = -0.12 Load case 4 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*0) = 0 Load case 5 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*50) = -20.48 Load case 6 Prim = - 285.4794649 / 53.84802*(-4.1361599*50 - -4.1607299*0) = 20.36 Load case 7 Prim = - 285.4794649 / 53.84802*(-4.1361599*50 - -4.1607299*50) = -0.12 Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - 1 -12.19 1)*142.9404365] )*(0 - 277.5453 + 0 + 0 + -20.5109) = 2/10/2007 10:33:19 AM 336/368 New or corroded
- 338. Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - 2 8.08 1)*142.9404365] )*(177.2692 - 0 + 0 + 0 + 20.3898) = Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - 3 -4.10 1)*142.9404365] )*(177.2692 - 277.5453 + 0 + 0 + -0.1211) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 4 20.49 1)*142.7397324] )*(0 - 0 + 500.1513 + 0 + 0) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 5 8.33 1)*142.7397324] )*(0 - 276.3137 + 500.1513 + 0 + -20.4821) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 6 28.55 1)*142.7397324] )*(176.5551 - 0 + 500.1513 + 0 + 20.3612) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 7 16.40 1)*142.7397324] )*(176.5551 - 276.3137 + 500.1513 + 0 + -0.1210) = UHX-13.5.7 Step 7 Q2 = ((ωs**Ps - ωc**Pt) + γb*W / (2*π)) / (1 + Φ*Zm) Q3 = Q1 + 2*Q2 / (Pe*ao2) Fm is calculated per Table UHX-13.1 σ = (1.5*Fm / µ*)*(2*ao / (h - hg'))2*Pe Condition Design Load case 1 Q2 = ((-4.1361599*0 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 141.8277 Load case 2 Q2 = ((-4.1361599*50 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = -140.9902 New or corroded Load case 3 Q2 = ((-4.1361599*50 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 0.8375211 Load case 4 Q2 = ((-4.1361599*0 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 0.0000000 Load case 5 Q2 = ((-4.1361599*0 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 141.5596 Load case 6 Q2 = ((-4.1361599*50 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = -140.7237 Load case 7 Q2 = ((-4.1361599*50 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 0.8359380 Load case 1 Q3 = 0.0193694 + 2*141.8277 / (-12.1864*53.84802) = 0.0113420 Load case 2 Q3 = 0.0193694 + 2*-140.9902 / (8.0816*53.84802) = 0.0073361 New or corroded Load case 3 Q3 = 0.0193694 + 2*0.8375211 / (-4.1049*53.84802) = 0.0192287 Load case 4 Q3 = 0.0192421 + 2*0.0000000 / (20.4874*53.84802) = 0.0192421 Load case 5 Q3 = 0.0192421 + 2*141.5596 / (8.3299*53.84802) = 0.0309638 Load case 6 Q3 = 0.0192421 + 2*-140.7237 / (28.5535*53.84802) = 0.0158427 Load case 7 Q3 = 0.0192421 + 2*0.8359380 / (16.3961*53.84802) = 0.0192773 Stress Allowable Over- Tubesheet Bending Stress (psi) (psi) stressed? σ = (1.5*0.0203531 / 0.3116704)*(2*53.8480 / (1.5000 - Load case 1 -6,153 28,125 No 0.0000))2*-12.1864 = σ = (1.5*0.0190249 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*8.0816 Load case 2 3,814 28,125 No = New or corroded σ = (1.5*0.0233922 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*-4.1049 Load case 3 -2,382 28,125 No = Load case 4 11,894 57,195 No 2/10/2007 10:33:19 AM 337/368
- 339. σ = (1.5*0.0233946/ 0.3115843)*(2*53.8480 / (1.5000 - 0.0000))2*20.4874 = σ = (1.5*0.0280129 / 0.3115843)*(2*53.8480 / (1.5000 - 0.0000))2*8.3299 Load case 5 5,791 57,195 No = σ = (1.5*0.0220552 / 0.3115843)*(2*53.8480 / (1.5000 - Load case 6 15,628 57,195 No 0.0000))2*28.5535 = σ = (1.5*0.0234084 / 0.3115843)*(2*53.8480 / (1.5000 - Load case 7 9,525 57,195 No 0.0000))2*16.3961 = UHX-13.5.8 Step 8 τ = (1 / (2*µ))*(ao / h)*Pe Condition Design Stress Allowable Over- Tubesheet Shear Stress (psi) (psi) stressed? Load case 1 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-12.1864 = -892 15,000 No Load case 2 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*8.0816 = 591 15,000 No New or corroded Load case 3 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-4.1049 = -300 15,000 No Load case 4 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*20.4874 = 1,499 15,252 No Load case 5 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*8.3299 = 610 15,252 No Load case 6 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*28.5535 = 2,089 15,252 No Load case 7 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*16.3961 = 1,200 15,252 No UHX-13.5.9 Step 9 Fq = (Zd + Q3*Zv)*Xa4 / 2 Fs = MAX [(3.25 - 0.5*Fq), 1.25] but not greater than 2.0 σt,o = ((Ps*xs - Pt*xt) - Pe*Fq) / (xt - xs) lt = k*l rt = (dt2 + (dt - 2*tt)2 )0.5 / 4 Ft = lt / rt Ct = (2*π2*Et / Sy,t)0.5 For Ct <= Ft, Stb = Min{π2*Et / (Fs*Ft2), St} For Ct > Ft, Stb = Min{Sy,t / Fs*(1 - Ft/ (2*Ct)), St} Condition Design Load case 1 Fq = (0.0005076 + 0.0113420*0.0050230)*14.22388644 / 2 = 11.5543 New or Load case 2 Fq = (0.0005076 + 0.0073361*0.0050230)*14.22388644 / 2 = 11.1425 corroded Load case 3 Fq = (0.0005076 + 0.0192287*0.0050230)*14.22388644 / 2 = 12.3651 Load case 4 Fq = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692 Load case 5 Fq = (0.0005073 + 0.0309638*0.0050210)*14.22668374 / 2 = 13.5747 2/10/2007 10:33:19 AM 338/368
- 340. Load case 6 Fq = (0.0005073 + 0.0158427*0.0050210)*14.22668374 / 2 = 12.0196 Load case 7 Fq = (0.0005073 + 0.0192773*0.0050210)*14.22668374 / 2 = 12.3728 New or All load cases rt = (1.25000002 + (1.2500000 - 2*0.0490000)2 )0.5 / 4 = 0.4250 corroded New or All load cases Ft = 87.3000 / 0.4250 = 205.4258 corroded Load case 1 Ct = 0 New or corroded Load case 2, 3 Ct = (2*π2*26,850,000 / 18,625)0.5 = 168.6898 Load case 4, 5, Ct = (2*π2*27,087,500 / 19,385)0.5 = 166.0797 6, 7 New or All load cases Fs = MAX [(3.25 - 0.5*11.5542910) = -2.5271, 1.25] but not greater than 2.0 = 1.2500 corroded Stress Allowable Over- Tube Evaluation (psi) (psi) stressed? σt,o = ((0*0.5408861 - 50*0.6100532) - -12.1864*11.5542910) / Load case 1 1,595 16,471 No (0.6100532 - 0.5408861) = σt,o = ((50*0.5408861 - 0*0.6100532) - 8.0816*11.1424730) / (0.6100532 Load case 2 -911 16,471 No - 0.5408861) = σt,o = ((50*0.5408861 - 50*0.6100532) - -4.1049*12.3650662) / New or Load case 3 684 16,471 No corroded (0.6100532 - 0.5408861) = σt,o = ((0*0.5408861 - 0*0.6100532) - 20.4874*12.3691774) / (0.6100532 Load case 4 -3,664 33,412 No - 0.5408861) = σt,o = ((0*0.5408861 - 50*0.6100532) - 8.3299*13.5746696) / (0.6100532 Load case 5 -2,076 33,412 No - 0.5408861) = σt,o = ((50*0.5408861 - 0*0.6100532) - 28.5535*12.0195759) / Load case 6 -4,571 33,412 No (0.6100532 - 0.5408861) = σt,o = ((50*0.5408861 - 50*0.6100532) - 16.3961*12.3727940) / Load case 7 -2,983 33,412 No (0.6100532 - 0.5408861) = Load case 1, 3 Stb = 0 No New or corroded Load case 2 For Ct <= 205.4258, Stb = Min{π2*26,850,000 / (1.2500*205.42582) = 5,024, 16,471} = 5,024 No Load case 4, 5, 6, 7 For Ct <= 205.4258, Stb = Min{π2*27,087,500 / (1.2500*205.42582) = 5,068, 16,706} = 5,068 No UHX-13.5.10 Step 10 σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts)) σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σs = ABS(σs,m) + ABS(σs,b) σc,m = ac2 / (tc*(2*ac + tc))*Pt σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σc = ABS(σc,m) + ABS(σc,b) Condition Design Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in Stress 1.5*Ss SPS,s Over- Shell Evaluation (psi) (psi) (psi) stressed? 2/10/2007 10:33:19 AM 339/368
- 341. σs,m = 53.84802/ (0.3750*(2*56.6250 + 0.3750))*(-12.1864 + (1.05157112 - 2,573 Load 1)*(0 - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) = case 24,713 49,425 No 1 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*0 - 0.3100*56.6250*2,573/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-12.1864*(0.0050230 + -9,304 2 0.1012484*0.0193694) + 2*0.1012484*141.8277 / 53.8480 )) = σs = ABS(2,573) + ABS(-9,304) = 11,878 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(8.0816 + (1.05157112 - 1)*(50 910 Load - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case 24,713 49,425 No 2 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*50 - 0.3100*56.6250*910/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(8.0816*(0.0050230 + 15,939 2 0.1012484*0.0193694) + 2*0.1012484*-140.9902 / 53.8480 )) = σs = ABS(910) + ABS(15,939) = 16,849 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-4.1049 + (1.05157112 - 3,483 New or Load 1)*(50 - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) = corroded case 24,713 49,425 No 3 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*50 - 0.3100*56.6250*3,483/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-4.1049*(0.0050230 + 6,635 2 0.1012484*0.0193694) + 2*0.1012484*0.8375211 / 53.8480 )) = σs = ABS(3,483) + ABS(6,635) = 10,118 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(20.4874 + (1.05157112 - 1)*(0 1,394 Load - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 4 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*1,394/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(20.4874*(0.0050210 + 14,219 2 0.1012277*0.0192421) + 2*0.1012277*0.0000000 / 53.8480 )) = σs = ABS(1,394) + ABS(14,219) = 15,614 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(8.3299 + (1.05157112 - 1)*(0 - 3,969 Load 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 5 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*3,969/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(8.3299*(0.0050210 + 4,905 2 0.1012277*0.0192421) + 2*0.1012277*141.5596 / 53.8480 )) = σs = ABS(3,969) + ABS(4,905) = 8,874 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(28.5535 + (1.05157112 - 2,303 Load 1)*(50 - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 6 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*50 - 0.3100*56.6250*2,303/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(28.5535*(0.0050210 + 30,167 2 0.1012277*0.0192421) + 2*0.1012277*-140.7237 / 53.8480 )) = σs = ABS(2,303) + ABS(30,167) = 32,470 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(16.3961 + (1.05157112 - 4,878 Load 1)*(50 - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 7 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*50 - 0.3100*56.6250*4,878/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(16.3961*(0.0050210 + 20,852 2 0.1012277*0.0192421) + 2*0.1012277*0.8359380 / 53.8480 )) = σs = ABS(4,878) + ABS(20,852) = 25,731 UHX-13.5.10 Step 10 Minimum channel length = 1.8*(Dc*tc)0.5 = 11.7302 in where thickness tc = 0.3750 in Condition Design Stress 1.5*Sc SPS,c Over- Channel Evaluation (psi) (psi) (psi) stressed? σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763 Load case 24,713 49,425 No 1 2/10/2007 10:33:19 AM 340/368
- 342. σc,b = 6*72,218.5078/ 0.37502*(0.2784858*2.706823E-04*50 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2784858 / 2)*(-12.1864*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*141.8277 / 19,432 53.84802)) = σc = ABS(3,763) + ABS(19,432) = 23,195 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*0 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 24,713 49,425 No 2 1.50003)*(1 + 1.5000*0.2784858 / 2)*(8.0816*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*-140.9902 / -4,844 53.84802)) = σc = ABS(0) + ABS(-4,844) = 4,844 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763 Load case σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*50 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 24,713 49,425 No 3 1.50003)*(1 + 1.5000*0.2784858 / 2)*(-4.1049*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*0.8375211 / 14,588 53.84802)) = σc = ABS(3,763) + ABS(14,588) = 18,351 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 4 1.50003)*(1 + 1.5000*0.2784858 / 2)*(20.4874*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*0.0000000 / -14,944 53.84802)) = σc = ABS(0) + ABS(-14,944) = 14,944 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*50 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 5 1.50003)*(1 + 1.5000*0.2784858 / 2)*(8.3299*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*141.5596 / 4,503 53.84802)) = σc = ABS(3,763) + ABS(4,503) = 8,266 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 6 1.50003)*(1 + 1.5000*0.2784858 / 2)*(28.5535*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*-140.7237 / -19,799 53.84802)) = σc = ABS(0) + ABS(-19,799) = 19,799 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*50 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 7 1.50003)*(1 + 1.5000*0.2784858 / 2)*(16.3961*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*0.8359380 / -352 53.84802)) = σc = ABS(3,763) + ABS(-352) = 4,115 Calculations for Vacuum-SS Condition UHX-13.5.1 Step 1 Condition Vacuum-SS New or corroded Do = 2*53.2230 + 1.2500 = 107.6960 New or corroded µ = (1.6563 - 1.2500) /1.6563 = 0.2453 * d = MAX{[1.2500 - 2*0.0490*(26,850,000 / 26,850,000)*(16,471 / 18,750)*0.8500], Load cases 1-3 1.1768267 New or corroded [1.2500 - 2*0.0490]} = * d = MAX{[1.2500 - 2*0.0490*(27,087,500 / 27,075,000)*(16,706 / 19,065)*0.8500], Load cases 4-7 1.1769739 [1.2500 - 2*0.0490]} = New or corroded p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097 New or corroded Load cases 1-3 µ* = (1.7096848 - 1.1768267)/1.7096848 = 0.311670 Load cases 4-7 µ* = (1.7096848 - 1.1769739)/1.7096848 = 0.311584 2/10/2007 10:33:19 AM 341/368
- 343. hg' = 0.0000 New or corroded ao = 107.6960 / 2 = 53.8480 New or corroded ρs = 56.6250 / 53.8480 = 1.051571 New or corroded ρc = 56.6250 / 53.8480 = 1.051571 New or corroded xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886 New or corroded xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053 UHX-13.5.2 Step 2 Condition Vacuum-SS Load cases New or 1-3 Ks = π*0.3750*(113.2500 + 0.3750)*26,850,000 / 272.7500 = 13,177,547.00 corroded Load cases 4-7 Ks = π*0.3750*(113.2500 + 0.3750)*27,230,000 / 272.7500 = 13,364,045.00 Load cases New or 1-3 Kt = π*0.0490*(1.2500 - 0.0490)*26,850,000 / 272.7500 = 18,199.88 corroded Load cases 4-7 Kt = π*0.0490*(1.2500 - 0.0490)*27,087,500 / 272.7500 = 18,360.86 Load cases New or 1-3 Ks,t = 13,177,547.00 / (3408*18,199.88) = 0.212455 corroded Load cases 4-7 Ks,t = 13,364,045.00 / (3408*18,360.86) = 0.213572 Load cases J = 1 as no expansion joint used New or 1-3 corroded Load cases J = 1 as no expansion joint used 4-7 New or corroded βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179 Load cases New or 1-3 ks = 0.2780179*26,850,000*0.37503 / (6*(1 - 0.31002)) = 72,583.73 corroded Load cases 4-7 ks = 0.2780179*27,230,000*0.37503 / (6*(1 - 0.31002)) = 73,610.98 Load cases λs = (6*113.2500 / 1.50003)*72,583.7266*(1 + 1.5000*0.2780179 + 1-3 21,978,486 New or 1.50002*0.27801792 / 2) = corroded Load cases λs = (6*113.2500 / 1.50003)*73,610.9844*(1 + 1.5000*0.2780179 + 4-7 22,289,542 1.50002*0.27801792 / 2) = Load cases New or 1-3 δs = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3100 / 2) = 2.6909E-04 corroded Load cases 4-7 δs = 113.25002 / (4*27,230,000*0.3750) * (1 - 0.3100 / 2) = 2.6533E-04 New or corroded βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858 Load cases New or 1-3 kc = 0.2784858*26,850,000*0.37503 / (6*(1 - 0.30002)) = 72,218.51 corroded Load cases 4-7 kc = 0.2784858*27,250,000*0.37503 / (6*(1 - 0.30002)) = 73,294.39 Load cases λc = (6*113.2500 / 1.50003)*72,218.5078*(1 + 1.5000*0.2784858 + 1-3 21,882,362 New or 1.50002*0.27848582 / 2) = corroded Load cases λc = (6*113.2500 / 1.50003)*73,294.3906*(1 + 1.5000*0.2784858 + 4-7 22,208,356 1.50002*0.27848582 / 2) = 2/10/2007 10:33:19 AM 342/368
- 344. Load cases New or 1-3 δc = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3000 / 2) = 2.7068E-04 corroded Load cases 4-7 δc = 113.25002 / (4*27,250,000*0.3750) * (1 - 0.3000 / 2) = 2.6671E-04 UHX-13.5.3 Step 3 Condition Vacuum-SS New or corroded h/p = 1.5000/1.6563 = 0.9056 Load cases New or 1-3 - from Fig. UHX-11.3(a) E*/E = 0.3370 corroded Load cases 4-7 - from Fig. UHX-11.3(a) E*/E = 0.3369 Load cases New or 1-3 E* = 0.3369805*26,850,000 = 9,047,927 corroded Load cases 4-7 E* = 0.3368625*27,075,000 = 9,120,553 Load cases New or 1-3 - from Fig. UHX-11.3(b) ν* = 0.3004 corroded Load cases 4-7 - from Fig. UHX-11.3(b) ν* = 0.3004 Load cases Xa = [24*(1 - 0.30039792)*3408*26,850,000*0.0490*(1.2500 - 0.0490)*53.84802 / 1-3 14.2239 New or (9,047,927*272.7500*1.50003)]0.25 = corroded Load cases Xa = [24*(1 - 0.30043602)*3408*27,087,500*0.0490*(1.2500 - 0.0490)*53.84802 / 4-7 14.2267 (9,120,553*272.7500*1.50003)]0.25 = Load cases New or 1-3 Zd = 0.0005076 corroded Load cases 4-7 Zd = 0.0005073 Load cases New or 1-3 Zv = 0.0050230 corroded Load cases 4-7 Zv = 0.0050210 Load cases New or 1-3 Zm = 0.1012484 corroded Load cases 4-7 Zm = 0.1012277 UHX-13.5.4 Step 4 Condition Vacuum-SS New or corroded K = 116.0000 / 107.6960 = 1.0771059 Load cases F = ((1 - 0.3003979) / 9,047,927)*(21,978,486.00 + 21,882,362.00 + 1-3 3.5456076 New or corroded 26,850,000*ln(1.0771)) = Load cases F = ((1 - 0.3004360) / 9,120,553)*(22,289,542.00 + 22,208,356.00 + 4-7 3.5673274 27,075,000*ln(1.0771)) = Load cases 1-3 Φ = (1 + 0.3003979)*3.5456076 = 4.6107008 New or corroded Load cases 4-7 Φ = (1 + 0.3004360)*3.5673274 = 4.6390811 Q1 = (1.0515711 - 1 - 4.6107008*0.0050230) / (1 + 4.6107008*0.1012484) = 0.0193694 New or corroded 2/10/2007 10:33:19 AM 343/368
- 345. Load cases 1-3 Load cases 4-7 Q1 = (1.0515711 - 1 - 4.6390811*0.0050210) / (1 + 4.6390811*0.1012277) = 0.0192421 Load cases 1-3 Qz1 = (0.0005076 + 0.0193694*0.0050230)*14.22388644 / 2 = 12.3795 New or corroded Load cases 4-7 Qz1 = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692 Load cases 1-3 Qz2 = (0.0050230 + 0.0193694*0.1012484)*14.22388644 / 2 = 142.9404 New or corroded Load cases 4-7 Qz2 = (0.0050210 + 0.0192421*0.1012277)*14.22668374 / 2 = 142.7397 Load cases U = [0.0050230 + (1.0515711 - 1)*0.1012484]*14.22388644 / (1 +4.6107008*0.1012484) 1-3 285.8809 New or corroded = Load cases U = [0.0050210 + (1.0515711 - 1)*0.1012277]*14.22668374 / (1 +4.6390811*0.1012277) 4-7 285.4795 = UHX-13.5.5 Step 5 Condition Vacuum-SS New or γb = 0 = 0 corroded UHX-13.5.5 Step 5 Condition Vacuum-SS Ps (psi) Pt (psi) Load Case 1 0 50 Load Case 2 -15 0 Load Case 3 -15 50 Load Case 4 0 0 Load Case 5 0 50 Load Case 6 -15 0 Load Case 7 -15 50 New or Load case 1, 2, 3 γ= 0.0000 corroded Load case 4, 5, 6, 7 γ = [9.17E-06*(282.50 - 70) - 9.11E-06*(254.50 - 70)]*272.7500 = 0.0728111 New or corroded All load cases ωs = 1.0515711*72,583.7266*0.2780179*2.690900E-04*(1 + 1.5000*0.2780179) = 8.0915 New or corroded All load cases ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362 New or corroded All load cases ωc = 1.0515711*72,218.5078*0.2784858*2.706823E-04*(1 + 1.5000*0.2784858) = 8.1160 New or ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212 corroded All load cases -4.1607 = 2/10/2007 10:33:19 AM 344/368
- 346. UHX-13.5.6 Step 6 Condition Vacuum-SS Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 - Load case 1, 4, 5 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 0 (2*1.0000000*0.2124548*107.69602))*0 = New or corroded Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 - Load case 2, 3 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / -53.18 (2*1.0000000*0.2124548*107.69602))*-15 = Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2135724*(113.2500 / 107.6960)2*0.3100 - Load case 6, 7 (1.05157112 - 1) / (1.0000000*0.2135724) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / -52.97 (2*1.0000000*0.2135724*107.69602))*-15 = Load case 1, 3 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*50 = 277.55 New or corroded Load case 2, 4, 6 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*0 = 0 Load case 5, 7 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2135724))*50 = 276.31 Load case New or 1, 2, 3 Pγ = 3408*18,199.88*0.0000000 / (π*53.84802) = 0 corroded Load case 4, 5, 6, 7 Pγ = 3408*18,360.86*0.0728111 / (π*53.84802) = 500.15 New or All load corroded cases PW = - 285.8808731*0*0.00 / (2*π*53.84802) = 0 Load case 1 Prim = - 285.8808731 / 53.84802*(-4.1361599*0 - -4.1607299*50) = -20.51 Load case 2 Prim = - 285.8808731 / 53.84802*(-4.1361599*-15 - -4.1607299*0) = -6.12 New or Load case corroded 3 Prim = - 285.8808731 / 53.84802*(-4.1361599*-15 - -4.1607299*50) = -26.63 Load case 4 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*0) = 0 Load case 5 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*50) = -20.48 Load case 6 Prim = - 285.4794649 / 53.84802*(-4.1361599*-15 - -4.1607299*0) = -6.11 Load case 7 Prim = - 285.4794649 / 53.84802*(-4.1361599*-15 - -4.1607299*50) = -26.59 Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - 1 -12.19 1)*142.9404365] )*(0 - 277.5453 + 0 + 0 + -20.5109) = Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - 2 -2.42 1)*142.9404365] )*(-53.1808 - 0 + 0 + 0 + -6.1169) = Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - New or 3 -14.61 corroded 1)*142.9404365] )*(-53.1808 - 277.5453 + 0 + 0 + -26.6279) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 4 20.49 1)*142.7397324] )*(0 - 0 + 500.1513 + 0 + 0) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 5 8.33 1)*142.7397324] )*(0 - 276.3137 + 500.1513 + 0 + -20.4821) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 6 18.07 1)*142.7397324] )*(-52.9665 - 0 + 500.1513 + 0 + -6.1084) = 2/10/2007 10:33:19 AM 345/368
- 347. Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 7 5.91 1)*142.7397324] )*(-52.9665 - 276.3137 + 500.1513 + 0 + -26.5905) = UHX-13.5.7 Step 7 Condition Vacuum-SS Load case 1 Q2 = ((-4.1361599*0 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 141.8277 Load case 2 Q2 = ((-4.1361599*-15 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 42.2970 New or corroded Load case 3 Q2 = ((-4.1361599*-15 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = 184.1247 Load case 4 Q2 = ((-4.1361599*0 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 0.0000000 Load case 5 Q2 = ((-4.1361599*0 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 141.5596 Load case 6 Q2 = ((-4.1361599*-15 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 42.2171 Load case 7 Q2 = ((-4.1361599*-15 - -4.1607299*50) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 183.7767 Load case 1 Q3 = 0.0193694 + 2*141.8277 / (-12.1864*53.84802) = 0.0113420 Load case 2 Q3 = 0.0193694 + 2*42.2970 / (-2.4245*53.84802) = 0.0073361 New or corroded Load case 3 Q3 = 0.0193694 + 2*184.1247 / (-14.6109*53.84802) = 0.0106773 Load case 4 Q3 = 0.0192421 + 2*0.0000000 / (20.4874*53.84802) = 0.0192421 Load case 5 Q3 = 0.0192421 + 2*141.5596 / (8.3299*53.84802) = 0.0309638 Load case 6 Q3 = 0.0192421 + 2*42.2171 / (18.0675*53.84802) = 0.0208538 Load case 7 Q3 = 0.0192421 + 2*183.7767 / (5.9101*53.84802) = 0.0406902 Stress Allowable Over- Tubesheet Bending Stress (psi) (psi) stressed? σ = (1.5*0.0203531 / 0.3116704)*(2*53.8480 / (1.5000 - Load case 1 -6,153 28,125 No 0.0000))2*-12.1864 = σ = (1.5*0.0190249 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*-2.4245 Load case 2 -1,144 28,125 No = σ = (1.5*0.0201327 / 0.3116704)*(2*53.8480 / (1.5000 - New or corroded Load case 3 -7,298 28,125 No 0.0000))2*-14.6109 = σ = (1.5*0.0233946 / 0.3115843)*(2*53.8480 / (1.5000 - Load case 4 11,894 57,195 No 0.0000))2*20.4874 = σ = (1.5*0.0280129 / 0.3115843)*(2*53.8480 / (1.5000 - 0.0000))2*8.3299 Load case 5 5,791 57,195 No = σ = (1.5*0.0240296 / 0.3115843)*(2*53.8480 / (1.5000 - Load case 6 10,774 57,195 No 0.0000))2*18.0675 = σ = (1.5*0.0318451 / 0.3115843)*(2*53.8480 / (1.5000 - 0.0000))2*5.9101 Load case 7 4,671 57,195 No = UHX-13.5.8 Step 8 Condition Vacuum-SS Stress Allowable Over- Tubesheet Shear Stress (psi) (psi) stressed? Load case 1 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-12.1864 = -892 15,000 No Load case 2 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-2.4245 = -177 15,000 No New or corroded 2/10/2007 10:33:19 AM 346/368
- 348. Load case 3 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-14.6109 = -1,069 15,000 No Load case 4 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*20.4874 = 1,499 15,252 No Load case 5 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*8.3299 = 610 15,252 No Load case 6 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*18.0675 = 1,322 15,252 No Load case 7 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*5.9101 = 432 15,252 No UHX-13.5.9 Step 9 Condition Vacuum-SS Load case 1 Fq = (0.0005076 + 0.0113420*0.0050230)*14.22388644 / 2 = 11.5543 New or Load case 2 Fq = (0.0005076 + 0.0073361*0.0050230)*14.22388644 / 2 = 11.1425 corroded Load case 3 Fq = (0.0005076 + 0.0106773*0.0050230)*14.22388644 / 2 = 11.4860 Load case 4 Fq = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692 Load case 5 Fq = (0.0005073 + 0.0309638*0.0050210)*14.22668374 / 2 = 13.5747 Load case 6 Fq = (0.0005073 + 0.0208538*0.0050210)*14.22668374 / 2 = 12.5349 Load case 7 Fq = (0.0005073 + 0.0406902*0.0050210)*14.22668374 /2= 14.5750 New or All load cases rt = (1.25000002 + (1.2500000 - 2*0.0490000)2 )0.5 / 4 = 0.4250 corroded New or All load cases Ft = 87.3000 / 0.4250 = 205.4258 corroded Load case 1, 2, 3 Ct = 0 New or corroded Load case 4, 5, Ct = (2*π2*27,087,500 / 19,385)0.5 = 166.0797 6, 7 New or All load cases Fs = MAX [(3.25 - 0.5*11.5542910) = -2.5271, 1.25] but not greater than 2.0 = 1.2500 corroded Stress Allowable Over- Tube Evaluation (psi) (psi) stressed? σt,o = ((0*0.5408861 - 50*0.6100532) - -12.1864*11.5542910) / Load case 1 1,595 16,471 No (0.6100532 - 0.5408861) = σt,o = ((-15*0.5408861 - 0*0.6100532) - -2.4245*11.1424730) / Load case 2 273 16,471 No (0.6100532 - 0.5408861) = σt,o = ((-15*0.5408861 - 50*0.6100532) - -14.6109*11.4859558) / New or Load case 3 1,868 16,471 No corroded (0.6100532 - 0.5408861) = σt,o = ((0*0.5408861 - 0*0.6100532) - 20.4874*12.3691774) / (0.6100532 Load case 4 -3,664 33,412 No - 0.5408861) = σt,o = ((0*0.5408861 - 50*0.6100532) - 8.3299*13.5746696) / (0.6100532 Load case 5 -2,076 33,412 No - 0.5408861) = σt,o = ((-15*0.5408861 - 0*0.6100532) - 18.0675*12.5349282) / Load case 6 -3,392 33,412 No (0.6100532 - 0.5408861) = σt,o = ((-15*0.5408861 - 50*0.6100532) - 5.9101*14.5749638) / Load case 7 -1,804 33,412 No (0.6100532 - 0.5408861) = New or Load case 1, 2, 3 Stb = 0 No corroded Load case 4, 5, 6, 7 For Ct <= 205.4258, Stb = Min{π2*27,087,500 / (1.2500*205.42582) = 5,068, 16,706} = 5,068 No 2/10/2007 10:33:19 AM 347/368
- 349. UHX-13.5.10 Step 10 σs,m= ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts)) σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σs = ABS(σs,m) + ABS(σs,b) σc,m = ac2 / (tc*(2*ac + tc))*Pt σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σc = ABS(σc,m) + ABS(σc,b) Condition Vacuum-SS Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in Stress 1.5*Ss SPS,s Over- Shell Evaluation (psi) (psi) (psi) stressed? σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-12.1864 + (1.05157112 - 2,573 Load 1)*(0 - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) = case 24,713 49,425 No 1 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*0 - 0.3100*56.6250*2,573/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-12.1864*(0.0050230 + -9,304 2 0.1012484*0.0193694) + 2*0.1012484*141.8277 / 53.8480 )) = σs = ABS(2,573) + ABS(-9,304) = 11,878 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-2.4245 + (1.05157112 - -273 Load 1)*(-15 - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case 24,713 49,425 No 2 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*-15 - 0.3100*56.6250*-273/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-2.4245*(0.0050230 + -4,782 2 0.1012484*0.0193694) + 2*0.1012484*42.2970 / 53.8480 )) = σs = ABS(-273) + ABS(-4,782) = 5,055 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-14.6109 + (1.05157112 - 2,300 New or Load 1)*(-15 - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) = corroded case 24,713 49,425 No 3 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*-15 - 0.3100*56.6250*2,300/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-14.6109*(0.0050230 + -14,086 2 0.1012484*0.0193694) + 2*0.1012484*184.1247 / 53.8480 )) = σs = ABS(2,300) + ABS(-14,086) = 16,387 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(20.4874 + (1.05157112 - 1,394 Load 1)*(0 - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 4 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*1,394/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(20.4874*(0.0050210 + 14,219 2 0.1012277*0.0192421) + 2*0.1012277*0.0000000 / 53.8480 )) = σs = ABS(1,394) + ABS(14,219) = 15,614 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(8.3299 + (1.05157112 - 1)*(0 3,969 Load - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 5 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*3,969/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(8.3299*(0.0050210 + 4,905 2 0.1012277*0.0192421) + 2*0.1012277*141.5596 / 53.8480 )) = σs = ABS(3,969) + ABS(4,905) = 8,874 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(18.0675 + (1.05157112 - 1,122 Load 1)*(-15 - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 6 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*-15 - 0.3100*56.6250*1,122/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(18.0675*(0.0050210 + 9,435 2 0.1012277*0.0192421) + 2*0.1012277*42.2171 / 53.8480 )) = σs = ABS(1,122) + ABS(9,435) = 10,557 2/10/2007 10:33:19 AM 348/368
- 350. σs,m = 53.84802/ (0.3750*(2*56.6250 + 0.3750))*(5.9101 + (1.05157112 - 3,697 Load 1)*(-15 - 50)) + 56.62502*50 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 7 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*-15 - 0.3100*56.6250*3,697/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(5.9101*(0.0050210 + 121 2 0.1012277*0.0192421) + 2*0.1012277*183.7767 / 53.8480 )) = σs = ABS(3,697) + ABS(121) = 3,817 UHX-13.5.10 Step 10 Minimum channel length = 1.8*(Dc*tc)0.5 = 11.7302 in where thickness tc = 0.3750 in Condition Vacuum-SS Stress 1.5*Sc SPS,c Over- Channel Evaluation (psi) (psi) (psi) stressed? σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763 Load case σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*50 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 24,713 49,425 No 1 1.50003)*(1 + 1.5000*0.2784858 / 2)*(-12.1864*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*141.8277 / 19,432 53.84802)) = σc = ABS(3,763) + ABS(19,432) = 23,195 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*0 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 24,713 49,425 No 2 1.50003)*(1 + 1.5000*0.2784858 / 2)*(-2.4245*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*42.2970 / 1,453 53.84802)) = σc = ABS(0) + ABS(1,453) = 1,453 New or corroded σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763 Load case σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*50 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 24,713 49,425 No 3 1.50003)*(1 + 1.5000*0.2784858 / 2)*(-14.6109*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*184.1247 / 20,886 53.84802)) = σc = ABS(3,763) + ABS(20,886) = 24,648 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 4 1.50003)*(1 + 1.5000*0.2784858 / 2)*(20.4874*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*0.0000000 / -14,944 53.84802)) = σc = ABS(0) + ABS(-14,944) = 14,944 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*50 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 5 1.50003)*(1 + 1.5000*0.2784858 / 2)*(8.3299*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*141.5596 / 4,503 53.84802)) = σc = ABS(3,763) + ABS(4,503) = 8,266 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 6 1.50003)*(1 + 1.5000*0.2784858 / 2)*(18.0675*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*42.2171 / -13,487 53.84802)) = σc = ABS(0) + ABS(-13,487) = 13,487 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*50 = 3,763 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*50 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 7 1.50003)*(1 + 1.5000*0.2784858 / 2)*(5.9101*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*183.7767 / 5,960 53.84802)) = σc = ABS(3,763) + ABS(5,960) = 9,722 Calculations for Vacuum-TS Condition 2/10/2007 10:33:19 AM 349/368
- 351. UHX-13.5.1 Step 1 Condition Vacuum-TS New or corroded Do = 2*53.2230 + 1.2500 = 107.6960 New or corroded µ = (1.6563 - 1.2500) /1.6563 = 0.2453 * d = MAX{[1.2500 - 2*0.0490*(26,850,000 / 26,850,000)*(16,471 / 18,750)*0.8500], Load cases 1-3 1.1768267 New or corroded [1.2500 - 2*0.0490]} = * d = MAX{[1.2500 - 2*0.0490*(27,087,500 / 27,075,000)*(16,706 / 19,065)*0.8500], Load cases 4-7 1.1769739 [1.2500 - 2*0.0490]} = New or corroded p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097 New or corroded Load cases 1-3 µ* = (1.7096848 - 1.1768267)/1.7096848 = 0.311670 Load cases 4-7 µ* = (1.7096848 - 1.1769739)/1.7096848 = 0.311584 hg' = 0.0000 New or corroded ao = 107.6960 / 2 = 53.8480 New or corroded ρs = 56.6250 / 53.8480 = 1.051571 New or corroded ρc = 56.6250 / 53.8480 = 1.051571 New or corroded xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886 New or corroded xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053 UHX-13.5.2 Step 2 Condition Vacuum-TS Load cases New or 1-3 Ks = π*0.3750*(113.2500 + 0.3750)*26,850,000 / 272.7500 = 13,177,547.00 corroded Load cases 4-7 Ks = π*0.3750*(113.2500 + 0.3750)*27,230,000 / 272.7500 = 13,364,045.00 Load cases New or 1-3 Kt = π*0.0490*(1.2500 - 0.0490)*26,850,000 / 272.7500 = 18,199.88 corroded Load cases 4-7 Kt = π*0.0490*(1.2500 - 0.0490)*27,087,500 / 272.7500 = 18,360.86 Load cases New or 1-3 Ks,t = 13,177,547.00 / (3408*18,199.88) = 0.212455 corroded Load cases 4-7 Ks,t = 13,364,045.00 / (3408*18,360.86) = 0.213572 Load cases J = 1 as no expansion joint used New or 1-3 corroded Load cases J = 1 as no expansion joint used 4-7 New or corroded βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179 Load cases New or 1-3 ks = 0.2780179*26,850,000*0.37503 / (6*(1 - 0.31002)) = 72,583.73 corroded Load cases 4-7 ks = 0.2780179*27,230,000*0.37503 / (6*(1 - 0.31002)) = 73,610.98 New or λs = (6*113.2500 / 1.50003)*72,583.7266*(1 + 1.5000*0.2780179 + Load cases corroded 1-3 21,978,486 1.50002*0.27801792 / 2) = 22,289,542 2/10/2007 10:33:19 AM 350/368
- 352. Load cases λs = (6*113.2500 / 1.50003)*73,610.9844*(1 + 1.5000*0.2780179 + 4-7 1.50002*0.27801792 / 2) = Load cases New or 1-3 δs = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3100 / 2) = 2.6909E-04 corroded Load cases 4-7 δs = 113.25002 / (4*27,230,000*0.3750) * (1 - 0.3100 / 2) = 2.6533E-04 New or corroded βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858 Load cases New or 1-3 kc = 0.2784858*26,850,000*0.37503 / (6*(1 - 0.30002)) = 72,218.51 corroded Load cases 4-7 kc = 0.2784858*27,250,000*0.37503 / (6*(1 - 0.30002)) = 73,294.39 Load cases λc = (6*113.2500 / 1.50003)*72,218.5078*(1 + 1.5000*0.2784858 + 1-3 21,882,362 New or 1.50002*0.27848582 / 2) = corroded Load cases λc = (6*113.2500 / 1.50003)*73,294.3906*(1 + 1.5000*0.2784858 + 4-7 22,208,356 1.50002*0.27848582 / 2) = Load cases New or 1-3 δc = 113.25002 / (4*26,850,000*0.3750) * (1 - 0.3000 / 2) = 2.7068E-04 corroded Load cases 4-7 δc = 113.25002 / (4*27,250,000*0.3750) * (1 - 0.3000 / 2) = 2.6671E-04 UHX-13.5.3 Step 3 Condition Vacuum-TS New or corroded h/p = 1.5000/1.6563 = 0.9056 Load cases New or 1-3 - from Fig. UHX-11.3(a) E*/E = 0.3370 corroded Load cases 4-7 - from Fig. UHX-11.3(a) E*/E = 0.3369 Load cases New or 1-3 E* = 0.3369805*26,850,000 = 9,047,927 corroded Load cases 4-7 E* = 0.3368625*27,075,000 = 9,120,553 Load cases New or 1-3 - from Fig. UHX-11.3(b) ν* = 0.3004 corroded Load cases 4-7 - from Fig. UHX-11.3(b) ν* = 0.3004 Load cases Xa = [24*(1 - 0.30039792)*3408*26,850,000*0.0490*(1.2500 - 0.0490)*53.84802 / 1-3 14.2239 New or (9,047,927*272.7500*1.50003)]0.25 = corroded Load cases Xa = [24*(1 - 0.30043602)*3408*27,087,500*0.0490*(1.2500 - 0.0490)*53.84802 / 4-7 14.2267 (9,120,553*272.7500*1.50003)]0.25 = Load cases New or 1-3 Zd = 0.0005076 corroded Load cases 4-7 Zd = 0.0005073 Load cases New or 1-3 Zv = 0.0050230 corroded Load cases 4-7 Zv = 0.0050210 Load cases New or 1-3 Zm = 0.1012484 corroded Load cases 4-7 Zm = 0.1012277 2/10/2007 10:33:19 AM 351/368
- 353. UHX-13.5.4 Step 4 Condition Vacuum-TS New or corroded K = 116.0000 / 107.6960 = 1.0771059 Load cases F = ((1 - 0.3003979) / 9,047,927)*(21,978,486.00 + 21,882,362.00 + 1-3 3.5456076 New or corroded 26,850,000*ln(1.0771)) = Load cases F = ((1 - 0.3004360) / 9,120,553)*(22,289,542.00 + 22,208,356.00 + 4-7 3.5673274 27,075,000*ln(1.0771)) = Load cases 1-3 Φ = (1 + 0.3003979)*3.5456076 = 4.6107008 New or corroded Load cases 4-7 Φ = (1 + 0.3004360)*3.5673274 = 4.6390811 Load cases 1-3 Q1 = (1.0515711 - 1 - 4.6107008*0.0050230) / (1 + 4.6107008*0.1012484) = 0.0193694 New or corroded Load cases 4-7 Q1 = (1.0515711 - 1 - 4.6390811*0.0050210) / (1 + 4.6390811*0.1012277) = 0.0192421 Load cases 1-3 Qz1 = (0.0005076 + 0.0193694*0.0050230)*14.22388644 / 2 = 12.3795 New or corroded Load cases 4-7 Qz1 = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692 Load cases 1-3 Qz2 = (0.0050230 + 0.0193694*0.1012484)*14.22388644 / 2 = 142.9404 New or corroded Load cases 4-7 Qz2 = (0.0050210 + 0.0192421*0.1012277)*14.22668374 / 2 = 142.7397 Load cases U = [0.0050230 + (1.0515711 - 1)*0.1012484]*14.22388644 / (1 +4.6107008*0.1012484) 1-3 285.8809 New or corroded = Load cases U = [0.0050210 + (1.0515711 - 1)*0.1012277]*14.22668374 / (1 +4.6390811*0.1012277) 4-7 285.4795 = UHX-13.5.5 Step 5 Condition Vacuum-TS New or γb = 0 = 0 corroded UHX-13.5.5 Step 5 Condition Vacuum-TS Ps (psi) Pt (psi) Load Case 1 0 -15 Load Case 2 50 0 Load Case 3 50 -15 Load Case 4 0 0 Load Case 5 0 -15 2/10/2007 10:33:19 AM 352/368
- 354. Load Case 6 50 0 Load Case 7 50 -15 New or Load case 1, 2, 3 γ= 0.0000 corroded Load case 4, 5, 6, 7 γ = [9.17E-06*(282.50 - 70) - 9.11E-06*(254.50 - 70)]*272.7500 = 0.0728111 New or corroded All load cases ωs = 1.0515711*72,583.7266*0.2780179*2.690900E-04*(1 + 1.5000*0.2780179) = 8.0915 New or corroded All load cases ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362 New or corroded All load cases ωc = 1.0515711*72,218.5078*0.2784858*2.706823E-04*(1 + 1.5000*0.2784858) = 8.1160 New or ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212 corroded All load cases -4.1607 = UHX-13.5.6 Step 6 Condition Vacuum-TS Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 - Load case 1, 4, 5 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 0 (2*1.0000000*0.2124548*107.69602))*0 = New or corroded Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 - Load case 2, 3 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 177.27 (2*1.0000000*0.2124548*107.69602))*50 = Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2135724*(113.2500 / 107.6960)2*0.3100 - Load case 6, 7 (1.05157112 - 1) / (1.0000000*0.2135724) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 176.56 (2*1.0000000*0.2135724*107.69602))*50 = Load case 1, 3 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*-15 = -83.26 New or corroded Load case 2, 4, 6 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*0 = 0 Load case 5, 7 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2135724))*-15 = -82.89 Load case New or 1, 2, 3 Pγ = 3408*18,199.88*0.0000000 / (π*53.84802) = 0 corroded Load case 4, 5, 6, 7 Pγ = 3408*18,360.86*0.0728111 / (π*53.84802) = 500.15 New or All load corroded cases PW = - 285.8808731*0*0.00 / (2*π*53.84802) = 0 Load case 1 Prim = - 285.8808731 / 53.84802*(-4.1361599*0 - -4.1607299*-15) = 6.15 Load case 2 Prim = - 285.8808731 / 53.84802*(-4.1361599*50 - -4.1607299*0) = 20.39 New or Load case corroded 3 Prim = - 285.8808731 / 53.84802*(-4.1361599*50 - -4.1607299*-15) = 26.54 Load case 4 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*0) = 0 Load case 5 Prim = - 285.4794649 / 53.84802*(-4.1361599*0 - -4.1607299*-15) = 6.14 Load case 6 Prim = - 285.4794649 / 53.84802*(-4.1361599*50 - -4.1607299*0) = 20.36 Load case 7 Prim = - 285.4794649 / 53.84802*(-4.1361599*50 - -4.1607299*-15) = 26.51 2/10/2007 10:33:19 AM 353/368
- 355. Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - 1 3.66 1)*142.9404365] )*(0 - -83.2636 + 0 + 0 + 6.1533) = Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - 2 8.08 1)*142.9404365] )*(177.2692 - 0 + 0 + 0 + 20.3898) = Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3795336 + (1.0515711 - New or 3 11.74 corroded 1)*142.9404365] )*(177.2692 - -83.2636 + 0 + 0 + 26.5431) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 4 20.49 1)*142.7397324] )*(0 - 0 + 500.1513 + 0 + 0) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 5 24.13 1)*142.7397324] )*(0 - -82.8941 + 500.1513 + 0 + 6.1446) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 6 28.55 1)*142.7397324] )*(176.5551 - 0 + 500.1513 + 0 + 20.3612) = Load case Pe = 1.0000000*0.2135724 / (1 + 1.0000000*0.2135724*[12.3691774 + (1.0515711 - 7 32.20 1)*142.7397324] )*(176.5551 - -82.8941 + 500.1513 + 0 + 26.5058) = UHX-13.5.7 Step 7 Condition Vacuum-TS Load case 1 Q2 = ((-4.1361599*0 - -4.1607299*-15) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = -42.5483 Load case 2 Q2 = ((-4.1361599*50 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = -140.9902 New or corroded Load case 3 Q2 = ((-4.1361599*50 - -4.1607299*-15) + 0*0.00 / (2*π)) / (1 + 4.6107008*0.1012484) = -183.5385 Load case 4 Q2 = ((-4.1361599*0 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = 0.0000000 Load case 5 Q2 = ((-4.1361599*0 - -4.1607299*-15) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = -42.4679 Load case 6 Q2 = ((-4.1361599*50 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = -140.7237 Load case 7 Q2 = ((-4.1361599*50 - -4.1607299*-15) + 0*0.00 / (2*π)) / (1 + 4.6390811*0.1012277) = -183.1915 Load case 1 Q3 = 0.0193694 + 2*-42.5483 / (3.6559*53.84802) = 0.0113420 Load case 2 Q3 = 0.0193694 + 2*-140.9902 / (8.0816*53.84802) = 0.0073361 New or corroded Load case 3 Q3 = 0.0193694 + 2*-183.5385 / (11.7375*53.84802) = 0.0085838 Load case 4 Q3 = 0.0192421 + 2*0.0000000 / (20.4874*53.84802) = 0.0192421 Load case 5 Q3 = 0.0192421 + 2*-42.4679 / (24.1346*53.84802) = 0.0180284 Load case 6 Q3 = 0.0192421 + 2*-140.7237 / (28.5535*53.84802) = 0.0158427 Load case 7 Q3 = 0.0192421 + 2*-183.1915 / (32.2007*53.84802) = 0.0153181 Stress Allowable Over- Tubesheet Bending Stress (psi) (psi) stressed? σ = (1.5*0.0203531 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*3.6559 Load case 1 1,846 28,125 No = σ = (1.5*0.0190249 / 0.3116704)*(2*53.8480 / (1.5000 - 0.0000))2*8.0816 Load case 2 3,814 28,125 No = σ = (1.5*0.0194386 / 0.3116704)*(2*53.8480 / (1.5000 - New or corroded Load case 3 5,660 28,125 No 0.0000))2*11.7375 = σ = (1.5*0.0233946 / 0.3115843)*(2*53.8480 / (1.5000 - Load case 4 11,894 57,195 No 0.0000))2*20.4874 = σ = (1.5*0.0229164 / 0.3115843)*(2*53.8480 / (1.5000 - Load case 5 13,725 57,195 No 0.0000))2*24.1346 = 2/10/2007 10:33:19 AM 354/368
- 356. σ = (1.5*0.0220552/ 0.3115843)*(2*53.8480 / (1.5000 - Load case 6 15,628 57,195 No 0.0000))2*28.5535 = σ = (1.5*0.0218485 / 0.3115843)*(2*53.8480 / (1.5000 - Load case 7 17,459 57,195 No 0.0000))2*32.2007 = UHX-13.5.8 Step 8 Condition Vacuum-TS Stress Allowable Over- Tubesheet Shear Stress (psi) (psi) stressed? Load case 1 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*3.6559 = 268 15,000 No Load case 2 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*8.0816 = 591 15,000 No New or corroded Load case 3 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*11.7375 = 859 15,000 No Load case 4 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*20.4874 = 1,499 15,252 No Load case 5 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*24.1346 = 1,766 15,252 No Load case 6 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*28.5535 = 2,089 15,252 No Load case 7 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*32.2007 = 2,356 15,252 No UHX-13.5.9 Step 9 Condition Vacuum-TS Load case 1 Fq = (0.0005076 + 0.0113420*0.0050230)*14.22388644 / 2 = 11.5543 New or Load case 2 Fq = (0.0005076 + 0.0073361*0.0050230)*14.22388644 /2= 11.1425 corroded Load case 3 Fq = (0.0005076 + 0.0085838*0.0050230)*14.22388644 / 2 = 11.2707 Load case 4 Fq = (0.0005073 + 0.0192421*0.0050210)*14.22668374 / 2 = 12.3692 Load case 5 Fq = (0.0005073 + 0.0180284*0.0050210)*14.22668374 / 2 = 12.2444 Load case 6 Fq = (0.0005073 + 0.0158427*0.0050210)*14.22668374 / 2 = 12.0196 Load case 7 Fq = (0.0005073 + 0.0153181*0.0050210)*14.22668374 / 2 = 11.9656 New or All load cases rt = (1.25000002 + (1.2500000 - 2*0.0490000)2 )0.5 / 4 = 0.4250 corroded New or All load cases Ft = 87.3000 / 0.4250 = 205.4258 corroded Load case 1, 2, 3 Ct = (2*π2*26,850,000 / 18,625)0.5 = 168.6898 New or corroded Load case 4, 5, Ct = (2*π2*27,087,500 / 19,385)0.5 = 166.0797 6, 7 New or All load cases Fs = MAX [(3.25 - 0.5*11.5542910) = -2.5271, 1.25] but not greater than 2.0 = 1.2500 corroded Stress Allowable Over- Tube Evaluation (psi) (psi) stressed? σt,o = ((0*0.5408861 - -15*0.6100532) - 3.6559*11.5542910) / Load case 1 -478 16,471 No (0.6100532 - 0.5408861) = σt,o = ((50*0.5408861 - 0*0.6100532) - 8.0816*11.1424730) / (0.6100532 Load case 2 -911 16,471 No - 0.5408861) = σt,o = ((50*0.5408861 - -15*0.6100532) - 11.7375*11.2707439) / New or Load case 3 -1,389 16,471 No corroded (0.6100532 - 0.5408861) = 2/10/2007 10:33:19 AM 355/368
- 357. σt,o = ((0*0.5408861- 0*0.6100532) - 20.4874*12.3691774) / (0.6100532 Load case 4 -3,664 33,412 No - 0.5408861) = σt,o = ((0*0.5408861 - -15*0.6100532) - 24.1346*12.2443568) / Load case 5 -4,140 33,412 No (0.6100532 - 0.5408861) = σt,o = ((50*0.5408861 - 0*0.6100532) - 28.5535*12.0195759) / Load case 6 -4,571 33,412 No (0.6100532 - 0.5408861) = σt,o = ((50*0.5408861 - -15*0.6100532) - 32.2007*11.9656201) / Load case 7 -5,047 33,412 No (0.6100532 - 0.5408861) = New or Load case 1, 2, 3 For Ct <= 205.4258, Stb = Min{π2*26,850,000 / (1.2500*205.42582) = 5,024, 16,471} = 5,024 No corroded Load case 4, 5, 6, 7 For Ct <= 205.4258, Stb = Min{π2*27,087,500 / (1.2500*205.42582) = 5,068, 16,706} = 5,068 No UHX-13.5.10 Step 10 σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts)) σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σs = ABS(σs,m) + ABS(σs,b) σc,m = ac2 / (tc*(2*ac + tc))*Pt σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σc = ABS(σc,m) + ABS(σc,b) Condition Vacuum-TS Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in Stress 1.5*Ss SPS,s Over- Shell Evaluation (psi) (psi) (psi) stressed? σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(3.6559 + (1.05157112 - 1)*(0 - -772 Load -15)) + 56.62502*-15 / (0.3750*(2*56.6250 + 0.3750)) = case 24,713 49,425 No 1 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*0 - 0.3100*56.6250*-772/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(3.6559*(0.0050230 + 2,791 2 0.1012484*0.0193694) + 2*0.1012484*-42.5483 / 53.8480 )) = σs = ABS(-772) + ABS(2,791) = 3,563 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(8.0816 + (1.05157112 - 1)*(50 910 Load - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case 24,713 49,425 No 2 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*50 - 0.3100*56.6250*910/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(8.0816*(0.0050230 + 15,939 2 0.1012484*0.0193694) + 2*0.1012484*-140.9902 / 53.8480 )) = σs = ABS(910) + ABS(15,939) = 16,849 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(11.7375 + (1.05157112 - 138 New or Load 1)*(50 - -15)) + 56.62502*-15 / (0.3750*(2*56.6250 + 0.3750)) = corroded case 24,713 49,425 No 3 σs,b = 6*72,583.7266 / 0.37502*(0.2780179*(2.690900E-04*50 - 0.3100*56.6250*138/ 26,850,000) + 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(11.7375*(0.0050230 + 18,731 2 0.1012484*0.0193694) + 2*0.1012484*-183.5385 / 53.8480 )) = σs = ABS(138) + ABS(18,731) = 18,869 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(20.4874 + (1.05157112 - 1)*(0 1,394 Load - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 4 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*1,394/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(20.4874*(0.0050210 + 14,219 2 0.1012277*0.0192421) + 2*0.1012277*0.0000000 / 53.8480 )) = 2/10/2007 10:33:19 AM 356/368
- 358. σs = ABS(1,394)+ ABS(14,219) = 15,614 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(24.1346 + (1.05157112 - 1)*(0 622 Load - -15)) + 56.62502*-15 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 5 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*0 - 0.3100*56.6250*622/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(24.1346*(0.0050210 + 17,014 2 0.1012277*0.0192421) + 2*0.1012277*-42.4679 / 53.8480 )) = σs = ABS(622) + ABS(17,014) = 17,635 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(28.5535 + (1.05157112 - 2,303 Load 1)*(50 - 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 6 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*50 - 0.3100*56.6250*2,303/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(28.5535*(0.0050210 + 30,167 2 0.1012277*0.0192421) + 2*0.1012277*-140.7237 / 53.8480 )) = σs = ABS(2,303) + ABS(30,167) = 32,470 σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(32.2007 + (1.05157112 - 1,531 Load 1)*(50 - -15)) + 56.62502*-15 / (0.3750*(2*56.6250 + 0.3750)) = case N/A 50,100 No 7 σs,b = 6*73,610.9844 / 0.37502*(0.2780179*(2.653348E-04*50 - 0.3100*56.6250*1,531/ 27,230,000) + 6*(1 - 0.30043602) / 9,120,553*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(32.2007*(0.0050210 + 32,961 2 0.1012277*0.0192421) + 2*0.1012277*-183.1915 / 53.8480 )) = σs = ABS(1,531) + ABS(32,961) = 34,492 UHX-13.5.10 Step 10 Minimum channel length = 1.8*(Dc*tc)0.5 = 11.7302 in where thickness tc = 0.3750 in Condition Vacuum-TS Stress 1.5*Sc SPS,c Over- Channel Evaluation (psi) (psi) (psi) stressed? σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*-15 = -1,129 Load case σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*-15 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 24,713 49,425 No 1 1.50003)*(1 + 1.5000*0.2784858 / 2)*(3.6559*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*-42.5483 / -5,830 53.84802)) = σc = ABS(-1,129) + ABS(-5,830) = 6,958 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*0 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 24,713 49,425 No 2 1.50003)*(1 + 1.5000*0.2784858 / 2)*(8.0816*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*-140.9902 / -4,844 53.84802)) = σc = ABS(0) + ABS(-4,844) = 4,844 New or corroded σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*-15 = -1,129 Load case σc,b = 6*72,218.5078 / 0.37502*(0.2784858*2.706823E-04*-15 - 6*(1 - 0.30039792) / 9,047,927*(53.84803 / 24,713 49,425 No 3 1.50003)*(1 + 1.5000*0.2784858 / 2)*(11.7375*(0.0050230 + 0.1012484*0.0193694) + 2*0.1012484*-183.5385 / -10,674 53.84802)) = σc = ABS(-1,129) + ABS(-10,674) = 11,803 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 4 1.50003)*(1 + 1.5000*0.2784858 / 2)*(20.4874*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*0.0000000 / -14,944 53.84802)) = σc = ABS(0) + ABS(-14,944) = 14,944 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*-15 = -1,129 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*-15 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 5 1.50003)*(1 + 1.5000*0.2784858 / 2)*(24.1346*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*-42.4679 / -20,778 53.84802)) = 2/10/2007 10:33:19 AM 357/368
- 359. σc = ABS(-1,129)+ ABS(-20,778) = 21,907 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*0 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 6 1.50003)*(1 + 1.5000*0.2784858 / 2)*(28.5535*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*-140.7237 / -19,799 53.84802)) = σc = ABS(0) + ABS(-19,799) = 19,799 σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*-15 = -1,129 Load case σc,b = 6*73,294.3906 / 0.37502*(0.2784858*2.667090E-04*-15 - 6*(1 - 0.30043602) / 9,120,553*(53.84803 / N/A 50,100 No 7 1.50003)*(1 + 1.5000*0.2784858 / 2)*(32.2007*(0.0050210 + 0.1012277*0.0192421) + 2*0.1012277*-183.1915 / -25,633 53.84802)) = σc = ABS(-1,129) + ABS(-25,633) = 26,762 Calculations for Tube side hydrotest Condition UHX-13.5.1 Step 1 Condition Tube side hydrotest New Do = 2*53.2230 + 1.2500 = 107.6960 New µ = (1.6563 - 1.2500) /1.6563 = 0.2453 * d = MAX{[1.2500 - 2*0.0490*(28.3E+06 / 28.3E+06)*(26,471 / 30,000)*0.8500], New Load case 1 1.1765000 [1.2500 - 2*0.0490]} = New p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097 New Load case 1 µ* = (1.7096848 - 1.1765000)/1.7096848 = 0.311861 hg' = 0.0000 New ao = 107.6960 / 2 = 53.8480 New ρs = 56.6250 / 53.8480 = 1.051571 New ρc = 56.6250 / 53.8480 = 1.051571 New xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886 New xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053 UHX-13.5.2 Step 2 Condition Tube side hydrotest New Load case 1 Ks = π*0.3750*(113.2500 + 0.3750)*28.3E+06 / 272.7500 = 13,889,183.00 New Load case 1 Kt = π*0.0490*(1.2500 - 0.0490)*28.3E+06 / 272.7500 = 19,182.74 New Load case 1 Ks,t = 13,889,183.00 / (3408*19,182.74) = 0.212455 New Load case 1 J = 1 as no expansion joint used New βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179 New Load case 1 ks = 0.2780179*28.3E+06*0.37503 / (6*(1 - 0.31002)) = 76,503.52 New Load case 1 λs = (6*113.2500 / 1.50003)*76,503.5234*(1 + 1.5000*0.2780179 + 1.50002*0.27801792 / 2) = 23,165,408 New Load case 1 δs = 113.25002 / (4*28.3E+06*0.3750) * (1 - 0.3100 / 2) = 2.5530E-04 New βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858 2/10/2007 10:33:19 AM 358/368
- 360. New Load case 1 kc = 0.2784858*28.3E+06*0.37503 / (6*(1 - 0.30002)) = 76,118.58 New Load case 1 λc = (6*113.2500 / 1.50003)*76,118.5781*(1 + 1.5000*0.2784858 + 1.50002*0.27848582 / 2) = 23,064,090 New Load case 1 δc = 113.25002 / (4*28.3E+06*0.3750) * (1 - 0.3000 / 2) = 2.5681E-04 UHX-13.5.3 Step 3 Condition Tube side hydrotest New h/p = 1.5000/1.6563 = 0.9056 Load case New 1 - from Fig. UHX-11.3(a) E*/E = 0.3372 Load case New 1 E* = 0.3372423*28.3E+06 = 9,543,956 Load case New 1 - from Fig. UHX-11.3(b) ν* = 0.3003 Load case Xa = [24*(1 - 0.30031352)*3408*28.3E+06*0.0490*(1.2500 - 0.0490)*53.84802 / New 1 14.2213 (9,543,956*272.7500*1.50003)]0.25 = Load case New 1 Zd = 0.0005079 Load case New 1 Zv = 0.0050249 Load case New 1 Zm = 0.1012678 UHX-13.5.4 Step 4 Condition Tube side hydrotest New K = 116.0000 / 107.6960 = 1.0771059 New Load case 1 F = ((1 - 0.3003135) / 9,543,956)*(23,165,408.00 + 23,064,090.00 + 28,300,000*ln(1.0771)) = 3.5432828 New Load case 1 Φ = (1 + 0.3003135)*3.5432828 = 4.6073786 New Load case 1 Q1 = (1.0515711 - 1 - 4.6073786*0.0050249) / (1 + 4.6073786*0.1012678) = 0.0193782 New Load case 1 Qz1 = (0.0005079 + 0.0193782*0.0050249)*14.22132354 / 2 = 12.3780 New Load case 1 Qz2 = (0.0050249 + 0.0193782*0.1012678)*14.22132354 / 2 = 142.9015 New Load case 1 U = [0.0050249 + (1.0515711 - 1)*0.1012678]*14.22132354 / (1 +4.6073786*0.1012678) = 285.8029 UHX-13.5.5 Step 5 Condition Tube side hydrotest New γb = 0 = 0 UHX-13.5.5 Step 5 Condition Tube side hydrotest 2/10/2007 10:33:19 AM 359/368
- 361. Ps (psi) Pt (psi) Load Case 1 0 69.46 New All load cases γ= 0.0000 New Load case 1 ωs = 1.0515711*76,503.5234*0.2780179*2.553027E-04*(1 + 1.5000*0.2780179) = 8.0915 New Load case 1 ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362 New Load case 1 ωc = 1.0515711*76,118.5781*0.2784858*2.568134E-04*(1 + 1.5000*0.2784858) = 8.1160 New Load case 1 ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212 = -4.1607 UHX-13.5.6 Step 6 Condition Tube side hydrotest All load Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0*(113.2500 / 107.6960)2*0.3100 - (1.05157112 - 1) / New cases 0 (0*0) - (1 - 0)*[0.00002 - (2*56.6250)2] / (2*0*0*107.69602))*0 = Load case New 1 Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (1.0000000*0.2124548))*69.46 = 385.58 All load New cases Pγ = 3408*0.00*0.0000000 / (π*53.84802) = 0 All load New cases PW = - 0*0*0.00 / (2*π*53.84802) = 0 Load case New 1 Prim = - 285.8029100 / 53.84802*(-4.1361599*0 - -4.1607299*69.46) = -28.49 Load case Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3779674 + (1.0515711 - 1)*142.9014550] New 1 -16.93 )*(0 - 385.5798 + 0 + 0 + -28.4870) = UHX-13.5.7 Step 7 Condition Tube side hydrotest New Load case 1 Q2 = ((-4.1361599*0 - -4.1607299*69.46) + 0*0.00 / (2*π)) / (1 + 4.6073786*0.1012678) = 197.0673 New Load case 1 Q3 = 0.0193782 + 2*197.0673 / (-16.9322*53.84802) = 0.0113504 Stress Allowable Over- Tubesheet Bending Stress (psi) (psi) stressed? New Load case 1 σ = (1.5*0.0203595 / 0.3118615)*(2*53.8480 / (1.5000 - 0.0000))2*-16.9322 = -8,547 40,500 No UHX-13.5.8 Step 8 Condition Tube side hydrotest Stress Allowable Over- Tubesheet Shear Stress (psi) (psi) stressed? New Load case 1 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*-16.9322 = -1,239 24,000 No UHX-13.5.9 Step 9 Condition Tube side hydrotest Load case New Fq = (0.0005079 + 0.0113504*0.0050249)*14.22132354 / 2 = 11.5530 1 2/10/2007 10:33:19 AM 360/368
- 362. Stress Allowable Over- Tube Evaluation (psi) (psi) stressed? Load case σt,o = ((0*0.5408861 - 69.46*0.6100532) - -16.9322*11.5529795) / (0.6100532 - New 1 2,216 26,471 No 0.5408861) = UHX-13.5.10 Step 10 σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts)) σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σs = ABS(σs,m) + ABS(σs,b) σc,m = ac2 / (tc*(2*ac + tc))*Pt σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σc = ABS(σc,m) + ABS(σc,b) Condition Tube side hydrotest Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in Stress 1.5*Ss SPS,s Over- Shell Evaluation (psi) (psi) (psi) stressed? σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(-16.9322 + (1.05157112 - 1)*(0 - 3,575 Load 69.46)) + 56.62502*69.46 / (0.3750*(2*56.6250 + 0.3750)) = New case 33,750 50,100 No 1 σs,b = 6*76,503.5234 / 0.37502*(0.2780179*(2.553027E-04*0 - 0.3100*56.6250*3,575/ 28.3E+06) + 6*(1 - 0.3003135 ) / 2 9,543,956*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(-16.9322*(0.0050249 + 0.1012678*0.0193782) + -12,925 2*0.1012678*197.0673 / 53.84802)) = σs = ABS(3,575) + ABS(-12,925) = 16,500 UHX-13.5.10 Step 10 Minimum channel length = 1.8*(Dc*tc)0.5 = 11.7302 in where thickness tc = 0.3750 in Condition Tube side hydrotest Stress 1.5*Sc SPS,c Over- Channel Evaluation (psi) (psi) (psi) stressed? Load σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*69.46 = 5,227 New case 33,750 50,100 No 1 σc,b = 6*76,118.5781 / 0.37502*(0.2784858*2.568134E-04*69.46 - 6*(1 - 0.30031352) / 9,543,956*(53.84803 / 1.50003)*(1 2 26,995 + 1.5000*0.2784858 / 2)*(-16.9322*(0.0050249 + 0.1012678*0.0193782) + 2*0.1012678*197.0673 / 53.8480 )) = σc = ABS(5,227) + ABS(26,995) = 32,222 Calculations for Shell side hydrotest Condition UHX-13.5.1 Step 1 Condition Shell side hydrotest New Do = 2*53.2230 + 1.2500 = 107.6960 New µ = (1.6563 - 1.2500) /1.6563 = 0.2453 * d = MAX{[1.2500 - 2*0.0490*(28.3E+06 / 28.3E+06)*(26,471 / 30,000)*0.8500], New Load case 2 1.1765000 [1.2500 - 2*0.0490]} = New p* = 1.6563 /(1 - 4*MIN(560.0000, 4*107.6960*1.6563) /(π*107.69602))0.5 = 1.7097 2/10/2007 10:33:19 AM 361/368
- 363. New Load case 2 µ* = (1.7096848 - 1.1765000)/1.7096848 = 0.311861 hg' = 0.0000 New ao = 107.6960 / 2 = 53.8480 New ρs = 56.6250 / 53.8480 = 1.051571 New ρc = 56.6250 / 53.8480 = 1.051571 New xs = 1 - 3408*(1.2500/(2*53.8480))2 = 0.540886 New xt = 1 - 3408*((1.2500 - 2*0.0490)/(2*53.8480))2 = 0.610053 UHX-13.5.2 Step 2 Condition Shell side hydrotest New Load case 2 Ks = π*0.3750*(113.2500 + 0.3750)*28.3E+06 / 272.7500 = 13,889,183.00 New Load case 2 Kt = π*0.0490*(1.2500 - 0.0490)*28.3E+06 / 272.7500 = 19,182.74 New Load case 2 Ks,t = 13,889,183.00 / (3408*19,182.74) = 0.212455 New Load case 2 J = 1 as no expansion joint used New βs = (12*(1 - 0.31002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2780179 New Load case 2 ks = 0.2780179*28.3E+06*0.37503 / (6*(1 - 0.31002)) = 76,503.52 New Load case 2 λs = (6*113.2500 / 1.50003)*76,503.5234*(1 + 1.5000*0.2780179 + 1.50002*0.27801792 / 2) = 23,165,408 New Load case 2 δs = 113.25002 / (4*28.3E+06*0.3750) * (1 - 0.3100 / 2) = 2.5530E-04 New βc = (12*(1 - 0.30002))0.25 / ((113.2500 + 0.3750)*0.3750)0.5 = 0.2784858 New Load case 2 kc = 0.2784858*28.3E+06*0.37503 / (6*(1 - 0.30002)) = 76,118.58 New Load case 2 λc = (6*113.2500 / 1.50003)*76,118.5781*(1 + 1.5000*0.2784858 + 1.50002*0.27848582 / 2) = 23,064,090 New Load case 2 δc = 113.25002 / (4*28.3E+06*0.3750) * (1 - 0.3000 / 2) = 2.5681E-04 UHX-13.5.3 Step 3 Condition Shell side hydrotest New h/p = 1.5000/1.6563 = 0.9056 Load case New 2 - from Fig. UHX-11.3(a) E*/E = 0.3372 Load case New 2 E* = 0.3372423*28.3E+06 = 9,543,956 Load case New 2 - from Fig. UHX-11.3(b) ν* = 0.3003 Load case Xa = [24*(1 - 0.30031352)*3408*28.3E+06*0.0490*(1.2500 - 0.0490)*53.84802 / New 2 14.2213 (9,543,956*272.7500*1.50003)]0.25 = Load case New 2 Zd = 0.0005079 Load case New 2 Zv = 0.0050249 New Zm = 0.1012678 2/10/2007 10:33:19 AM 362/368
- 364. Load case 2 UHX-13.5.4 Step 4 Condition Shell side hydrotest New K = 116.0000 / 107.6960 = 1.0771059 New Load case 2 F = ((1 - 0.3003135) / 9,543,956)*(23,165,408.00 + 23,064,090.00 + 28,300,000*ln(1.0771)) = 3.5432828 New Load case 2 Φ = (1 + 0.3003135)*3.5432828 = 4.6073786 New Load case 2 Q1 = (1.0515711 - 1 - 4.6073786*0.0050249) / (1 + 4.6073786*0.1012678) = 0.0193782 New Load case 2 Qz1 = (0.0005079 + 0.0193782*0.0050249)*14.22132354 / 2 = 12.3780 New Load case 2 Qz2 = (0.0050249 + 0.0193782*0.1012678)*14.22132354 / 2 = 142.9015 New Load case 2 U = [0.0050249 + (1.0515711 - 1)*0.1012678]*14.22132354 / (1 +4.6073786*0.1012678) = 285.8029 UHX-13.5.5 Step 5 Condition Shell side hydrotest New γb = 0 = 0 UHX-13.5.5 Step 5 Condition Shell side hydrotest Ps (psi) Pt (psi) Load Case 2 77.16 0 New All load cases γ= 0.0000 New Load case 2 ωs = 1.0515711*76,503.5234*0.2780179*2.553027E-04*(1 + 1.5000*0.2780179) = 8.0915 New Load case 2 ωs* = 53.84802*(1.05157112 - 1)*(1.0515711 - 1) / 4 - 8.0914516 = -4.1362 New Load case 2 ωc = 1.0515711*76,118.5781*0.2784858*2.568134E-04*(1 + 1.5000*0.2784858) = 8.1160 New Load case 2 ωc* = 53.84802*[(1.05157112 + 1)*(1.0515711 - 1) / 4 - (1.0515711 - 1) / 2] - 8.1160212 = -4.1607 UHX-13.5.6 Step 6 Condition Shell side hydrotest Ps' = (0.5408861 + 2*(1 - 0.5408861)*0.3000 + 2 / 0.2124548*(113.2500 / 107.6960)2*0.3100 - Load New case 2 (1.05157112 - 1) / (1.0000000*0.2124548) - (1 - 1.0000000)*[0.00002 - (2*56.6250)2] / 273.56 (2*1.0000000*0.2124548*107.69602))*77.16 = All load New cases Pt' = (0.6100532 + 2*(1 - 0.6100532)*0.3000 + 1 / (0*0))*0 = 0 All load New cases Pγ = 3408*0.00*0.0000000 / (π*53.84802) = 0 2/10/2007 10:33:19 AM 363/368
- 365. All load New cases PW = - 0*0*0.00 / (2*π*53.84802) = 0 Load New case 2 Prim = - 285.8029100 / 53.84802*(-4.1361599*77.16 - -4.1607299*0) = 31.46 Load Pe = 1.0000000*0.2124548 / (1 + 1.0000000*0.2124548*[12.3779674 + (1.0515711 - 1)*142.9014550] New case 2 12.47 )*(273.5619 - 0 + 0 + 0 + 31.4570) = UHX-13.5.7 Step 7 Condition Shell side hydrotest New Load case 2 Q2 = ((-4.1361599*77.16 - -4.1607299*0) + 0*0.00 / (2*π)) / (1 + 4.6073786*0.1012678) = -217.6127 New Load case 2 Q3 = 0.0193782 + 2*-217.6127 / (12.4729*53.84802) = 0.0073443 Stress Allowable Over- Tubesheet Bending Stress (psi) (psi) stressed? New Load case 2 σ = (1.5*0.0190310 / 0.3118615)*(2*53.8480 / (1.5000 - 0.0000))2*12.4729 = 5,885 40,500 No UHX-13.5.8 Step 8 Condition Shell side hydrotest Stress Allowable Over- Tubesheet Shear Stress (psi) (psi) stressed? New Load case 2 τ = (1 / (2*0.2453))*(53.8480 / 1.5000)*12.4729 = 913 24,000 No UHX-13.5.9 Step 9 Condition Shell side hydrotest Load case New Fq = (0.0005079 + 0.0073443*0.0050249)*14.22132354 / 2 = 11.1413 2 Load case New rt = (1.25000002 + (1.2500000 - 2*0.0490000)2 )0.5 / 4 = 0.4250 2 Load case New Ft = 87.3000 / 0.4250 = 205.4258 2 Load case New Ct = (2*π2*28.3E+06 / 25,000)0.5 = 149.4817 2 Load case New Fs = MAX [(3.25 - 0.5*11.1412770) = -2.3206, 1.25] but not greater than 2.0 = 1.2500 2 Stress Allowable Over- Tube Evaluation (psi) (psi) stressed? Load case σt,o = ((77.16*0.5408861 - 0*0.6100532) - 12.4729*11.1412770) / (0.6100532 - New 2 -1,406 26,471 No 0.5408861) = Load case New 2 For Ct <= 205.4258, Stb = Min{π2*28.3E+06 / (1.2500*205.42582) = 5,295, 26,471} = 5,295 No UHX-13.5.10 Step 10 σs,m = ao2 / (ts*(2*as + ts))*[Pe + (ρs2 - 1)*(Ps - Pt)] + as2*Pt / (ts*(2*as + ts)) σs,b = 6*ks / ts2*{βs*[δs*Ps - νs*as*σs,m/ Es] + 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βs / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σs = ABS(σs,m) + ABS(σs,b) 2/10/2007 10:33:19 AM 364/368
- 366. σc,m = ac2/ (tc*(2*ac + tc))*Pt σc,b = 6*kc / tc2*{βc*δc*Pt - 6*(1 - ν*2) / E**(ao3 / h3)*(1 + h*βc / 2)*[Pe*(Zv + Zm*Q1) + 2*Zm*Q2 / ao2]} σc = ABS(σc,m) + ABS(σc,b) Condition Shell side hydrotest Minimum shell length = 1.8*(Ds*ts)0.5 = 11.7302 in where thickness ts = 0.3750 in Stress 1.5*Ss SPS,s Over- Shell Evaluation (psi) (psi) (psi) stressed? σs,m = 53.84802 / (0.3750*(2*56.6250 + 0.3750))*(12.4729 + (1.05157112 - 1)*(77.16 - 1,404 Load 0)) + 56.62502*0 / (0.3750*(2*56.6250 + 0.3750)) = New case 33,750 50,100 No 2 σs,b = 6*76,503.5234 / 0.37502*(0.2780179*(2.553027E-04*77.16 - 0.3100*56.6250*1,404/ 28.3E+06) + 6*(1 - 0.30031352) / 9,543,956*(53.84803 / 1.50003)*(1 + 1.5000*0.2780179 / 2)*(12.4729*(0.0050249 + 0.1012678*0.0193782) 24,597 + 2*0.1012678*-217.6127 / 53.84802)) = σs = ABS(1,404) + ABS(24,597) = 26,001 UHX-13.5.10 Step 10 Minimum channel length = 1.8*(Dc*tc)0.5 = 11.7302 in where thickness tc = 0.3750 in Condition Shell side hydrotest Stress 1.5*Sc SPS,c Over- Channel Evaluation (psi) (psi) (psi) stressed? Load σc,m = 56.62502 / (0.3750*(2*56.6250 + 0.3750))*0 = 0 New case 33,750 50,100 No 2 σc,b = 6*76,118.5781 / 0.37502*(0.2784858*2.568134E-04*0 - 6*(1 - 0.30031352) / 9,543,956*(53.84803 / 1.50003)*(1 + 2 -7,475 1.5000*0.2784858 / 2)*(12.4729*(0.0050249 + 0.1012678*0.0193782) + 2*0.1012678*-217.6127 / 53.8480 )) = σc = ABS(0) + ABS(-7,475) = 7,475 Tube-To-Tubesheet Joint Loads ASME Tube To Tubesheet Joint Loads - Periphery Of Bundle Wj = σt,o*At fT = (Po + PT)/Po Lmax = At*Sa*fe*fr*fy*fT Condition Design lbf Load case 1 Wj = 1,595*0.1849 = 294.8338 Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769 Load case 2 Wj = -911*0.1849 = -168.4069 Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769 New or corroded Load case 3 Wj = 684*0.1849 = 126.4269 Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769 Load case 4 Wj = -3,664*0.1849 = -677.3553 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 Load case 5 Wj = -2,076*0.1849 = -383.7772 2/10/2007 10:33:19 AM 365/368
- 367. Lmax = 0.1849*32,941.00*1*0.5*1*2= 6,090.1538 Load case 6 Wj = -4,571*0.1849 = -845.0691 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 Load case 7 Wj = -2,983*0.1849 = -551.4910 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 |Wj| <= Lmax indicates the joint strength is adequate for the Design condition. ASME Tube To Tubesheet Joint Loads - Periphery Of Bundle Wj = σt,o*At fT = (Po + PT)/Po Lmax = At*Sa*fe*fr*fy*fT Condition Vacuum-SS lbf Load case 1 Wj = 1,595*0.1849 = 294.8338 Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769 Load case 2 Wj = 273*0.1849 = 50.5221 Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769 New or corroded Load case 3 Wj = 1,868*0.1849 = 345.3558 Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769 Load case 4 Wj = -3,664*0.1849 = -677.3553 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 Load case 5 Wj = -2,076*0.1849 = -383.7772 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 Load case 6 Wj = -3,392*0.1849 = -627.0412 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 Load case 7 Wj = -1,804*0.1849 = -333.4630 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 |Wj| <= Lmax indicates the joint strength is adequate for the Vacuum-SS condition. ASME Tube To Tubesheet Joint Loads - Periphery Of Bundle Wj = σt,o*At fT = (Po + PT)/Po Lmax = At*Sa*fe*fr*fy*fT Condition Vacuum-TS lbf Load case 1 Wj = -478*0.1849 = -88.4501 2/10/2007 10:33:19 AM 366/368
- 368. Lmax = 0.1849*16,471.00*1*0.5*1*2= 3,045.0769 Load case 2 Wj = -911*0.1849 = -168.4069 Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769 Load case 3 Wj = -1,389*0.1849 = -256.8571 Lmax = 0.1849*16,471.00*1*0.5*1*2 = 3,045.0769 Load case 4 Wj = -3,664*0.1849 = -677.3553 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 Load case 5 Wj = -4,140*0.1849 = -765.4288 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 Load case 6 Wj = -4,571*0.1849 = -845.0691 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 Load case 7 Wj = -5,047*0.1849 = -933.1426 Lmax = 0.1849*32,941.00*1*0.5*1*2 = 6,090.1538 |Wj| <= Lmax indicates the joint strength is adequate for the Vacuum-TS condition. ASME Tube To Tubesheet Joint Loads - Periphery Of Bundle Wj = σt,o*At fT = (Po + PT)/Po Lmax = At*Sa*fe*fr*fy*fT Condition Tube side hydrotest lbf Load case 1 Wj = 2,216*0.1849 = 409.6051 New Lmax = 0.1849*26,471.00*1*0.5*1*1 = 2,446.9368 |Wj| <= Lmax indicates the joint strength is adequate for the Tube side hydrotest condition. ASME Tube To Tubesheet Joint Loads - Periphery Of Bundle Wj = σt,o*At fT = (Po + PT)/Po Lmax = At*Sa*fe*fr*fy*fT Condition Shell side hydrotest lbf Load case 2 Wj = -1,406*0.1849 = -259.8896 New Lmax = 0.1849*26,471.00*1*0.5*1*1 = 2,446.9368 |Wj| <= Lmax indicates the joint strength is adequate for the Shell side hydrotest condition. 2/10/2007 10:33:19 AM 367/368
- 369. Tubesheet Maximum PressureReport ASME Tubesheet Maximum Pressure Ratings Shell side Description Design Vacuum-SS Vacuum-TS Tube side hydrotest hydrotest Pressure (psi) 106.53 91.92 -60.43 108.00 0.00 Tube Side Design temperature (°F) 325.00 325.00 325.00 70.00 70.00 Mean temperature (°F) 282.50 282.50 282.50 70.00 70.00 Pressure (psi) 102.29 -70.02 73.15 0.00 148.67 Shell Side Design temperature (°F) 325.00 325.00 325.00 70.00 70.00 Mean temperature (°F) 254.50 254.50 254.50 70.00 70.00 Tubesheet Design temperature (°F) 325.00 325.00 325.00 70.00 70.00 2/10/2007 10:33:19 AM 368/368