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2 
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45 
Pressure Vessel Engineering Ltd. 
6 Hemispherical Head Design Tool ver E4.01 Page 1 of 1 
7 Description 
8 Dimensions: 
9 133,386 Do [in] - outside diameter of head 
10 0,472 tb [in] - thickness before forming 
11 0,472 tf [in] - thickness after forming 
12 0,000 Corr [in] - corrosion allowance 
13 Material and Conditions: 
14 SA - 612 Material 
15 23.700 S [psi] - allowable stress 
16 0,85 E - head longitudinal efficiency 
17 250,0 P [psi] - interior pressure 
18 Calculated Properties: 
19 Approx. head weight based on steel, lbs = 3718,0 
20 Approx. head volume, cuft = 351,97 
21 Variables: 
22 nt [in] = tf-Corr ~~ thickness with corrosion allowance removed 0,472-0 = 0,472 
23 L [in] = (Do-2*nt)/2 ~~ inside radius with corrosion allowance remove(d133,386-2*0,472)/2 = 66,221 
24 Ro [in]= Do/2 133,386/2 = 66,693 
25 Required Thickness: UG-32(f) 
26 Treq [in] = 
0,411 
Finite Element Analysis  ASME Code Calculations 
Canadian Vessel Registration  Vessel Modeling and Drafting 
Hemispherical Heads - Solución 2 
(P*L)/(2*S*E-0.2*P)+Corr ~~ required minimum thickness 
27 (250*66,221)/(2*23700*0,85-0.2*250)+0 = 
28 CheckTreq = Treq<=tf 0,411<=0,472 = Acceptable 
29 Maximum Pressure: UG-32(f) 
30 Pmax [psi] = 
(2*S*E*nt)/(L+0.2*nt) ~~ maximum allowed design pressure 
31 (2*23700*0,85*0,472)/(66,221+0.2*0,472) = 
286,8 
32 CheckPMax = Pmax >= P 286,8 >= 250 = Acceptable 
33 App. 1-4(f) calculation is not included on this sheet 
34 Heads may be subject to stress relief if large elongation occurs - UCS-79(d), UNF-79(d), UHA-44(d) 
35 Use the Weld Efficiency program to calculate E 
36 The UG-16(b) minimum thickness requirement has not been taken into consideration here. 
37 This sheet cannot be used to check for allowable exterior pressure loads. 
38 This sheet is for educational use only - use at your own risk. 
39 
40 
41 
42 
Pressure Vessel Engineering Ltd. 
120 Randall Drive, Suite B 
Waterloo, Ontario, Canada, N2V 1C6 
www.pveng.com (519) 880-9808

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  • 1. 1 2 3 45 Pressure Vessel Engineering Ltd. 6 Hemispherical Head Design Tool ver E4.01 Page 1 of 1 7 Description 8 Dimensions: 9 133,386 Do [in] - outside diameter of head 10 0,472 tb [in] - thickness before forming 11 0,472 tf [in] - thickness after forming 12 0,000 Corr [in] - corrosion allowance 13 Material and Conditions: 14 SA - 612 Material 15 23.700 S [psi] - allowable stress 16 0,85 E - head longitudinal efficiency 17 250,0 P [psi] - interior pressure 18 Calculated Properties: 19 Approx. head weight based on steel, lbs = 3718,0 20 Approx. head volume, cuft = 351,97 21 Variables: 22 nt [in] = tf-Corr ~~ thickness with corrosion allowance removed 0,472-0 = 0,472 23 L [in] = (Do-2*nt)/2 ~~ inside radius with corrosion allowance remove(d133,386-2*0,472)/2 = 66,221 24 Ro [in]= Do/2 133,386/2 = 66,693 25 Required Thickness: UG-32(f) 26 Treq [in] = 0,411 Finite Element Analysis  ASME Code Calculations Canadian Vessel Registration  Vessel Modeling and Drafting Hemispherical Heads - Solución 2 (P*L)/(2*S*E-0.2*P)+Corr ~~ required minimum thickness 27 (250*66,221)/(2*23700*0,85-0.2*250)+0 = 28 CheckTreq = Treq<=tf 0,411<=0,472 = Acceptable 29 Maximum Pressure: UG-32(f) 30 Pmax [psi] = (2*S*E*nt)/(L+0.2*nt) ~~ maximum allowed design pressure 31 (2*23700*0,85*0,472)/(66,221+0.2*0,472) = 286,8 32 CheckPMax = Pmax >= P 286,8 >= 250 = Acceptable 33 App. 1-4(f) calculation is not included on this sheet 34 Heads may be subject to stress relief if large elongation occurs - UCS-79(d), UNF-79(d), UHA-44(d) 35 Use the Weld Efficiency program to calculate E 36 The UG-16(b) minimum thickness requirement has not been taken into consideration here. 37 This sheet cannot be used to check for allowable exterior pressure loads. 38 This sheet is for educational use only - use at your own risk. 39 40 41 42 Pressure Vessel Engineering Ltd. 120 Randall Drive, Suite B Waterloo, Ontario, Canada, N2V 1C6 www.pveng.com (519) 880-9808