This document contains calculations for the design of a hemispherical head for a pressure vessel. It provides dimensions, material properties, and interior pressure. It then calculates the required minimum thickness, which is acceptable, and the maximum allowed design pressure, which is also acceptable based on the given interior pressure. In summary, it determines that the head design meets code requirements for thickness and pressure based on the input parameters.

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Pressure Vessel Engineering Ltd.
6 Hemispherical Head Design Tool ver E4.01 Page 1 of 1
7 Description
8 Dimensions:
9 108,189 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-516 Gr.70 Material
15 20.000 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 = 2442,0
20 Approx. head volume, cuft = 186,87
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(d108,189-2*0,472)/2 = 53,622
24 Ro [in]= Do/2 108,189/2 = 54,094
25 Required Thickness: UG-32(f)
26 Treq [in] =
0,395
Finite Element Analysis  ASME Code Calculations
Canadian Vessel Registration  Vessel Modeling and Drafting
Hemispherical Heads - Solución 1
(P*L)/(2*S*E-0.2*P)+Corr ~~ required minimum thickness
27 (250*53,622)/(2*20000*0,85-0.2*250)+0 =
28 CheckTreq = Treq<=tf 0,395<=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*20000*0,85*0,472)/(53,622+0.2*0,472) =
299,0
32 CheckPMax = Pmax >= P 299 >= 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.
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Pressure Vessel Engineering Ltd.
120 Randall Drive, Suite B
Waterloo, Ontario, Canada, N2V 1C6
www.pveng.com (519) 880-9808