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1 2 Pressure Vessel Engineering Ltd. 3 Finite Element Analysis ASME Code Calculations 4 Canadian Vessel Registration Vessel Modeling and Drafting 5 6 Page 1 of 1 7 F&D Head Description 8 Dimensions: 9 24.000 10 24.000 11 1.440 12 0.188 13 0.159 14 0.010 15 2.000 16 Material and Conditions: 17 SA-240 304 Material 18 20,000 19 0.85 20 50.0 21 Calculated Properties: 22 note 1:Suggested radius L per UG-32( 24.00 Approx. head weight based on steel, lbs = 38.53 23 note 2:Suggested radius IKR per UG-3 1.440 pprox. head volume including skirt, cuft = 1.12 24 note 3:Suggested thickness after for 0.1555 25 Variables: 26 0.159-0.01 = 0.149 27 24-2*0.149 = 23.701 28 L/IKR 24/1.44 = 16.667 29 0.25*(3+sqrt(L/IKR)) 0.25*(3+SQRT(24/1.44)) = 1.771 30 24+0.188 = 24.188 31 32 tf/L 0.159/24 = 0.007 33 if(AND(0.0005=<App1-4(f),App1-4(f)<0.002),"Calculation Required","Calcul 34 App. 1-4(f) Calculation Not Required 35 36 (50*24*1.771)/(2*20000*0.85-0.2*50)+0.01 = 0.073 37 Treq<=tf 0.073<=0.159 = Acceptable 38 39 40 (2*20000*0.85*0.149)/(24*1.771+0.2*0.149) = 119.4 41 Pmax >= P 119.4 >= 50 = Acceptable 42 App. 1-4(f) calculation is not included on this sheet 43 Nozzles may be subject to a smaller required thickness depending on location in the head, only the knuckle req 44 thickness is calculated on this sheet 45 Heads may be subject to stress relief if large elongation occurs - UCS-79(d), UNF-79(d), UG-37(a)(1) 46 The UG-16(b) minimum thickness requirement is not checked. 47 This sheet cannot be used to check for allowable exterior pressure loads. 48 Use the Weld Efficiency program to calculate E 49 This sheet is for educational use only - use at your own risk. 50 Pressure Vessel Engineering Ltd. 51 120 Randall Drive, Suite B 52 Waterloo, Ontario, Canada, N2V 1C6 53 F&D Head Design Tool ver E4.00 Do [in] - outside diameter of head L [in] - inside crown radius (note 1) IKR [in] - inside knuckle radius (note 2) tb [in] - thickness before forming tf [in] - thickness after forming (note 3) Corr [in] - corrosion allowance Skirt [in] - straight skirt length S [psi] - allowable stress E - longitudinal efficiency P [psi] - interior pressure nt [in] = tf-Corr ~~ thickness with corrosion allowance removed D [in] = Do-2*nt ~~ ID with corrosion allowance removed L/r = M = Ro [in] = L+tb Required Thickness: App. 1-4(a), App. 1-4(d) App1-4(f) = App1-4(f)Calc = Treq [in] = (P*L*M)/(2*S*E-0.2*P)+Corr ~~ required minimum thickness CheckTreq = Maximum Pressure: App. 1-4(a), App. 1-4(d) Pmax [psi] = (2*S*E*nt)/(L*M+0.2*nt) ~~ maximum allowed design pressure CheckPMax = www.pveng.com (519) 880-9808

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2 Pressure Vessel Engineering Ltd.3 Finite Element Analysis ASME Code Calculations4 Canadian Vessel Registration Vessel Modeling and Drafting5

6 Page 1 of 17 F&D Head Description

8 Dimensions:9 24.00010 24.00011 1.44012 0.18813 0.15914 0.01015 2.000

16 Material and Conditions:17 SA-240 304 Material 18 20,000

19 0.8520 50.0

21 Calculated Properties:22 note 1:Suggested radius L per UG-32(j) 24.00 Approx. head weight based on steel, lbs = 38.5323 note 2:Suggested radius IKR per UG-32(j) 1.440 Approx. head volume including skirt, cuft = 1.1224 note 3:Suggested thickness after forming 0.1555

25 Variables:26 0.159-0.01 = 0.14927 24-2*0.149 = 23.70128 L/IKR 24/1.44 = 16.66729 0.25*(3+sqrt(L/IKR)) 0.25*(3+SQRT(24/1.44)) = 1.77130 24+0.188 = 24.188

31

32 tf/L 0.159/24 = 0.00733 if(AND(0.0005=<App1-4(f),App1-4(f)<0.002),"Calculation Required","Calculation not required")

34 App. 1-4(f) Calculation Not Required35

36 (50*24*1.771)/(2*20000*0.85-0.2*50)+0.01 = 0.07337 Treq<=tf 0.073<=0.159 = Acceptable

38

39

40 (2*20000*0.85*0.149)/(24*1.771+0.2*0.149) = 119.441 Pmax >= P 119.4 >= 50 = Acceptable

42 App. 1-4(f) calculation is not included on this sheet

43 Nozzles may be subject to a smaller required thickness depending on location in the head, only the knuckle required

44 thickness is calculated on this sheet

45 Heads may be subject to stress relief if large elongation occurs - UCS-79(d), UNF-79(d), UG-37(a)(1)

46 The UG-16(b) minimum thickness requirement is not checked.

47 This sheet cannot be used to check for allowable exterior pressure loads.

48 Use the Weld Efficiency program to calculate E

49 This sheet is for educational use only - use at your own risk.

50 Pressure Vessel Engineering Ltd.51 120 Randall Drive, Suite B52 Waterloo, Ontario, Canada, N2V 1C653

F&D Head Design Tool ver E4.00

Do [in] - outside diameter of head L [in] - inside crown radius (note 1) IKR [in] - inside knuckle radius (note 2) tb [in] - thickness before forming tf [in] - thickness after forming (note 3) Corr [in] - corrosion allowance Skirt [in] - straight skirt length

S [psi] - allowable stress

E - longitudinal efficiency P [psi] - interior pressure

nt [in] = tf-Corr ~~ thickness with corrosion allowance removed

D [in] = Do-2*nt ~~ ID with corrosion allowance removed

L/r =M =

Ro [in] = L+tb

Required Thickness: App. 1-4(a), App. 1-4(d)

App1-4(f) =App1-4(f)Calc =

Treq [in] = (P*L*M)/(2*S*E-0.2*P)+Corr ~~ required minimum thickness

CheckTreq =

Maximum Pressure: App. 1-4(a), App. 1-4(d)

Pmax [psi] = (2*S*E*nt)/(L*M+0.2*nt) ~~ maximum allowed design pressure

CheckPMax =

www.pveng.com (519) 880-9808

K15
If not specified use value indicated by note 3
K22
Efficiency of weld in head. Not efficiency of head to shell. Use Weld Efficiency program.