calculos scrubber
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METALCOLMESA
SOACHA
COLOMBIA
CODE CALCULATIONS
Item: SCRUBBERVessel No: R-SEP-36-1-3Customer: ECOPETROL
Calculations: 1651-1-MC-0001 Rev. 0Designer: HERNAN FERRER
Date: mi rcoles, marzo 20, 2013Location: CASABE SUR
Purchaser: ECOPETROLVessel Name: SCRUBBER 1651
Service: GAS SCRUBBER
Tag Number: R-SEP-36-1-3
You can edit this page by selecting Cover Page settings... in the report menu.
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Deficiencies Summary
No deficiencies found.
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Revision History
No. Date Operator Notes
0 3/20/2013 Andres New vessel created ASME Section VIII Division 1 [COMPRESS 2013 Build 7300]
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Settings Summary
COMPRESS 2013 Build 7300
Units: U.S. Customary
Datum Line Location: 0,00" from bottom seam
Design
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
Design or Rating: Get Thickness from PressureMinimum thickness: 0,0625" per UG-16(b)Design for cold shut down only: NoDesign for lethal service (full radiography required): NoDesign nozzles for: Design P onlyCorrosion weight loss: 100% of theoretical lossUG-23 Stress Increase: 1,20Skirt/legs stress increase: 1,0
Minimum nozzle projection: 6"Juncture calculations for > 30 only: YesPreheat P-No 1 Materials > 1,25" and
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UG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: YesUG-22(f) Wind reactions: YesUG-22(f) Seismic reactions: YesUG-22(j) Test pressure and coincident static head acting during the test: YesNote: UG-22(b),(c) and (f) loads only considered when supports are present.
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Pressure Summary
Pressure Summary for Chamber bounded by BOTTOM HEAD and TOP HEAD
Ide ntifierP
Design( psi)
T
Design( F)
MAWP( psi)
MAP( psi)
MDMT( F)
MDMTExemption
ImpactTested
TOP HEAD 100 150 105,37 206,18 -55 Note 1 No
Straight Flange on TOP HEAD 100 150 199,76 300,35 -55 Note 2 No
Cylinder #1 100 150 148,82 250 -55 Note 3 No
Cylinder #2 100 150 147,26 250 -55 Note 4 No
Straight Flange o n BOTTOM HEA D 100 150 197,32 300,35 -55 Note 6 No
BOTTOM HEAD 100 150 102,62 206,18 -55 Note 5 No
MANHOLE (M1) 100 150 100 100 -55 Nozzle Note 7 No
Pad Note 8 No
ENTRADA (N1) 100 150 100 100 -55 Note 9 No
PG (N11) 100 150 100 100 -55 Note 9 No
SALIDA DE GAS (N2) 100 150 100 100 -47,3 Nozzle Note 10 No
Pad Note 11 No
ALIVIO (N3) 100 150 100 100 -55 Note 9 No
PDIT (N4A) 100 150 100 100 -55 Note 9 No
PDIT (N4B) 100 150 100 100 -55 Note 9 No
DRENAJE (N5) 100 150 100 100 -45,1 Note 12 No
TIT (N6) 100 150 100 100 -55 Note 9 No
SALIDA DE CONDENSADOS (N7) 100 150 100 100 -55 Note 9 No
LIT (N8A) 100 150 100 100 -55 Note 9 No
LIT (N8B) 100 150 100 100 -55 Note 9 No
LG (N9A) 100 150 100 100 -55 Note 9 No
LG (N9B) 100 150 100 100 -55 Note 9 No
Chamber design MDMT is -20 FChamber rated MDMT is -45,1 F @ 100 psi
Chamber MAWP hot & corroded is 100 psi @ 150 F
Chamber MAP cold & new is 100 psi @ 50 F
This pressure chamber is not designed for external pressure.
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Notes for MDMT R ating:
Note # Exemption Details
1. Straight Flange governs MDMT
2.Material impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 79,9 F, (coincident ratio = 0,424)Rated MDMT of -99,9F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in
3.Material impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 45,6 F, (coincident ratio = 0,5717)Rated MDMT of -65,6F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in
4.Material impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 44,6 F, (coincident ratio = 0,5806)Rated MDMT of -64,6F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in
5. Straight Flange governs MDMT
6.Material impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 75,6 F, (coincident ratio = 0,4344)Rated MDMT of -95,6F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in
7. Nozzle is impact test exempt to -155 F per UCS-66(b)(3) (coincident ratio = 0,3089).
8.Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 46,2 F, (coincident ratio = 0,5667)Rated MDMT of -66,2F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in.
9. Flange rating governs: UCS-66(b)(1)(b)
10.Nozzle impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 27,3 F, (coincident ratio = 0,7273) UCS-66 governing thickness = 0,2818 in.
11. Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 27,3 F, (coincident ratio = 0,7273) UCS-66 governing thickness = 0,2818 in.
12. Nozzle impact test exemption temperature from Fig UCS -66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 25,1 F, (coincident ratio = 0,7485) UCS-66 governing thickness = 0,255 in.
Design notes are available on the Settings Summary page.
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Thickness Summary
Com ponentIdentifier
Materia l Diameter(in)
Length(in)
Nominal t(in)
Design t(in)
Total Corrosion(in)
JointE
Load
TOP HEAD SA-516 70 42 ID 10,755 0,255* 0,2484 0,125 0,85 Internal
Straight Flange on TOP HEAD SA-516 70 42 ID 2 0,375 0,2498 0,125 0,85 Internal
Cylinder #1 SA-516 70 42,125 ID 96 0,3125 0,2512 0,125 0,85 Internal
Cylinder #2 SA-516 70 42,125 ID 54 0,3125 0,2531 0,125 0,85 Internal
Straight Flange on BOTTOM HEAD SA-516 70 42 ID 2 0,375 0,2528 0,125 0,85 Internal
BOTTOM HEAD SA-516 70 42 ID 10,755 0,255* 0,2518 0,125 0,85 Internal
Support Skirt #1 SA-516 70 42,546 ID 44 0,375 0,013 0 0,55 Wind
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
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Nozzle Schedule
Nozzlemark Service Size Materials
ImpactTested Normalized
FineGrain Flange Blind
M1 MANHOLE 20 OD x 0,3125Nozzle SA-516 70 No No No NPS 20 Class
150SO A105
NPS 20 Class150A105Pad SA-516 70 No No No
N1 ENTRADA NPS 6 Sch 40(Std) NozzleSA-106 B Smlspipe No No No
NPS 6 Class 150WN A105 No
N11 PG NPS 2 Sch 160 NozzleSA-106 B Smlspipe No No No
NPS 2 Class 150WN A105 No
N2 SALIDA DE GAS NPS 8 Sch 40(Std)Nozzle SA-106 B Smlspipe No No No NPS 8 Class 150WN A105 No
Pad SA-516 70 No No No
N3 ALIVIO NPS 3 Sch 80(XS) NozzleSA-106 B Smlspipe No No No
NPS 3 Class 150WN A105 No
N4A PDIT NPS 2 Sch 160 Nozzle SA-106 B Smlspipe No No NoNPS 2 Class 150WN A105 No
N4B PDIT NPS 2 Sch 160 Nozzle SA-106 B Smlspipe No No NoNPS 2 Class 150WN A105 No
N5 DRENAJE NPS 3 Sch 80(XS) NozzleSA-106 B Smlspipe No No No
NPS 3 Class 150WN A105 No
N6 TIT NPS 2 Sch 160 NozzleSA-106 B Smlspipe No No No
NPS 2 Class 150WN A105 No
N7 SALIDA DECONDE NSA DOSNPS 3 Sch 80(XS) Nozzle
SA-106 B Smlspipe No No No
NPS 3 Class 150WN A105 No
N8A LIT NPS 2 Sch 160 Nozzle SA-106 B Smlspipe No No NoNPS 2 Class 150WN A105 No
N8B LIT NPS 2 Sch 160 Nozzle SA-106 B Smlspipe No No NoNPS 2 Class 150WN A105 No
N9A LG NPS 2 Sch 160 Nozzle SA-106 B Smlspipe No No NoNPS 2 Class 150WN A105 No
N9B LG NPS 2 Sch 160 Nozzle SA-106 B Smlspipe No No NoNPS 2 Class 150WN A105 No
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Nozzle Summary
Nozzlemark
OD(in)
tn
(in)Req t
n(in)
A1? A 2?Shell ReinforcementPad Corr
(in)A
a/A
r(%)
Nom t(in)
Design t(in)
User t(in)
Width(in)
tpad(in)
M1 20 0,3125 0,2313 Yes Yes 0,3125 0,2313 2 0,3125 0,125 150,8
N1 6,625 0,28 0,2645 Yes Yes 0,3125 0,2314 N/A N/A 0,125 106,2
N11 2,375 0,344 0,2643 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N2 8,625 0,322 0,2627 Yes Yes 0,255* 0,2196 2 0,3125 0,125 217,5
N3 3,5 0,3 0,2643 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N4A 2,375 0,344 0,2643 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N4B 2,375 0,344 0,2643 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N5 3,5 0,3 0,2662 Yes Yes 0,255* N/A N/A N/A 0,125 Exempt
N6 2,375 0,344 0,2643 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N7 3,5 0,3 0,2671 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N8A 2,375 0,344 0,2646 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N8B 2,375 0,344 0,2667 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N9A 2,375 0,344 0,2667 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
N9B 2,375 0,344 0,265 Yes Yes 0,3125 N/A N/A N/A 0,125 Exempt
tn: Nozzle thicknessReq t n: Nozzle thickness required per UG-45/UG-16Nom t: Vessel wall thicknessDesign t: Required vessel wall thickness due to pressure + corrosion allowance per UG-37User t: Local vessel wall thickness (near opening)Aa : Area available per UG-37, governing conditionAr: Area required per UG-37, governing conditionCorr: Corrosion allowance on nozzle wall
* Head minimum thickness after forming
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Weight Summary
ComponentWeight ( lb) Contributed by Vessel Elements
Surface Areaft2Metal
New*Metal
Corroded * InsulationInsulationSupports Lining
Piping+ Liquid
Operating Liquid Test Liquid
New Corroded New Corroded
TOP HEAD 172,9 93, 2 0 0 0 0 0 0 453,3 463,1 17
Cylinder #1 1 .097 ,9 66 0,7 0 0 0 0 1.154,4 1.168,4 4.895,2 4.955,2 87
Cylinder #2 635,1 382,2 0 0 0 0 2.174,4 2.200,5 2.718 2.750,7 50
BOTTOM HEAD 176,4 95 0 0 0 0 360,7 368,5 450,9 460,6 17
Support Skirt #1 622,5 622,5 0 0 0 0 0 0 0 0 83
Skirt Base Ring #1 132 132 0 0 0 0 0 0 0 0 15
TOTAL: 2.836,8 1.985,6 0 0 0 0 3.689,5 3.737,4 8.517,4 8.629,5 269
* Shells with attached nozzles have weight reduced by material cut out for opening.
Component
Weight ( lb) Contributed by Attachments SurfaceArea
ft2Body FlangesNozzles &Flanges PackedBeds
Ladders &Platforms
Trays TraySupportsRings &
ClipsVerticalLoads
New C orroded New Corroded
TOP HEAD 0 0 50,3 48 0 170,8 0 0 0 0 2
Cylinder #1 0 0 636,9 609,6 0 956,6 0 0 0 0 16
Cylinder #2 0 0 32,4 27,4 0 162 0 0 0 0 2BOTTOM HEAD 0 0 13 11,7 0 126 0 0 0 0 1
Support Skirt #1 0 0 0 0 0 0 0 0 0 0 0
TOTAL: 0 0 732,6 696,9 0 1.415,5 0 0 0 0 21
* Platforms and ladders are not included in surface area.
Vessel operating weight, Corroded: 7.835 lbVessel operating weight, New: 8.674 lbVessel empty weight, Corroded: 4.098 lbVessel empty weight, New: 4.985 lbVessel test weight, New: 12.087 lb
Vessel test weight, Corroded: 11.312 lbVessel surface area: 290 ft 2
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 3.569 lbCenter of Gravity: 61,2547"
Vessel Capacity
Vessel Capacity** (New): 1.013 US galVessel Capacity** (Corroded): 1.026 US gal**The vessel capacity does not include volume of nozzle, piping or other attachments.
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Test Report
Shop test pressure determination for Chamber bounded by BOTTOM HEAD and TOP HEAD based on userdefined pressure
Shop test gauge pressure is 134 psi at 50 F
The shop test is performed with the vessel in the horizontal position.
IdentifierLocal testpressure
psi
Test liquidstatic head
psi
Stressduring test
psi
Allowabletest stress
psi
Stressexcessive?
TOP HEAD 135,518 1,518 10.044 34.200 No
Straight Flange on TOP HEAD 135,518 1,518 7.657 34.200 No
Cylinder #1 135,521 1,521 9.202 34.200 No
Cylinder #2 135,521 1,521 9.202 34.200 No
Straight Flange on BOTTOM HEAD 135,518 1,518 7.657 34.200 No
BOTTOM HEAD 135,518 1,518 10.044 34.200 No
ALIVIO (N3) 135,749 1,749 12.733 51.300 No
DRENAJE (N5) 134,813 0,813 11.404 51.300 No
ENTRADA (N1) 134,87 0,87 19.812 51.300 No
LG (N9A) 135,537 1,537 9.619 51.300 No
LG (N9B) 135,537 1,537 9.619 51.300 No
LIT (N8A) 135,631 1,631 9.625 51.300 No
LIT (N8B) 135,631 1,631 9.625 51.300 No
MANHOLE (M1) 135,11 1,11 24.766 51.300 No
PDIT (N4A) 135,537 1,537 9.619 51.300 No
PDIT (N4B) 135,537 1,537 9.619 51.300 No
PG (N11) 135,749 1,749 9.634 51.300 NoSALIDA DE CONDENSADOS (N7) 135,749 1,749 9.149 51.300 No
SALIDA DE GAS (N2) 134,904 0,904 9.773 51.300 No
TIT (N6) 135,352 1,352 9.606 51.300 No
Notes:(1) P L stresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages 77-82.(2) 1,5*0,9*S y used as the basis for the maximum local primary membrane stress at the nozzle intersection P L.(3) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-mostflange.
The field test condition has not been investigated for the Chamber bounded by BOTTOM HEAD and TOP HEAD.
The test temperature of 50 F is warmer than the minimum recommended temperature of -15,1 F so the brittlefracture provision of UG-99(h) has been met.
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TOP HEAD
ASME Section VIII, Division 1, 2010 Edition, A11 Addenda
Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D p.18, ln. 19)Straight Flange governs MDMT
Internal design pressure: P = 100 psi @ 150 F
Static liquid head:
P s= 0 psi (SG=0,8, H s=0" Operating head)P th= 1,52 psi (SG=1, H s=42,0625" Horizontal test head)
Corrosion allowance: Inner C = 0,125" Outer C = 0"
Design MDMT = -20F No impact test performedRated MDMT = -55F Material is not normalized
Material is produced to fine grain practicePWHT is not performedDo not Optimize MDMT / Find MAWP
Radiography: Category A joints - Seamless No RTHead to shell seam - Spot UW-11(b) Type 1
Estimated weight*: new = 172,9 lb corr = 93,2 lbCapacity*: new = 54 US gal corr = 55,1 US gal* includes straight flange
Inner diameter = 42"Minimum head thickness = 0,255"Head ratio D/2h = 2 (new)Head ratio D/2h = 1,9882 (corroded)Straight flange length L sf = 2"Nominal straight flange thickness t sf = 0,375"Results Summary
The governing condition is internal pressure.Minimum thickness per UG-16 = 0,0625" + 0, 125" = 0,1875"Design thickness due to internal pressure (t) = 0,2484 "Maximum allowable working pressure (MAWP) = 105,37 psiMaximum allowable pressure (MAP) = 206,18 psi
K (Corroded)K=(1/6)*[2 + (D / (2*h)) 2]=(1/6)*[2 + (42,25 / (2*10,625)) 2]=0,99218
K (New)
K=(1/6)*[2 + (D / (2*h)) 2]=(1/6)*[2 + (42 / (2*10,5)) 2]=1
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Design thickness for internal pressure, (Corroded at 150 F) Appendix 1-4(c)
t = P*D*K / (2*S*E - 0,2*P) + Corrosion= 100*42,25*0,99218 / (2*20.000*0,85 - 0,2*100) + 0,125= 0,2484"
The head internal pressure design thickness is 0,2484 ".
Maximum allowable working pressure, (Corroded at 150 F) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0,2*t) - P s= 2*20.000*0,85*0,13 / (0,99218*42,25 +0,2*0,13) - 0= 105,37 psi
The maximum allowable working pressure (MAWP) is 105,37 psi.
Maximum allowable pressure, (New at 50 F) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0,2*t) - P s= 2*20.000*0,85*0,255 / (1*42 +0,2*0,255) - 0= 206,18 psi
The maximum allowable pressure (MAP) is 206,18 psi.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / R f)*(1 - R f / R o)= (75*0,375 / 7,3275)*(1 - 7,3275 / infinity)= 3,8383%
The extreme fiber elongation does not exceed 5%.
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Straight Flange on TOP HEAD
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
Component: Straight FlangeMaterial specification: SA-516 70 (II-D p. 18, ln. 19)Material impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 79,9 F, (coincident ratio = 0,424)Rated MDMT of -99,9F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in
Internal design pressure: P = 100 psi @ 150 F
Static liquid head:
P s = 0 psi (SG = 0,8, H s = 0",Operatinghead)
P th = 1,52 psi (SG = 1, H s = 42,0625",Horizontal test head)
Corrosion allowance Inner C = 0,125" Outer C = 0"
Design MDMT = -20 F No impact test performedRated MDMT = -55 F Material is not normalized
Material is produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Seamless No RTCircumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 28,3 lb corr = 18,9 lbCapacity New = 12 US gal corr = 12,14 US gal
ID = 42"
LengthLc= 2"
t = 0,375"
Design thickness, (at 150 F) UG-27(c)(1)
t = P*R / (S*E - 0,60*P) + Corrosion= 100*21,125 / (20.000*0,85 - 0,60*100) + 0,125= 0,2498"
Maximum allowable working pressure, (at 150 F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t) - P s= 20.000*0,85*0,25 / (21,125 + 0,60*0,25) - 0= 199,76 psi
Maximum allowable pressure, (at 50 F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t)= 20.000*0,85*0,375 / (21 + 0,60*0,375)= 300,35 psi
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S cHN = min(B, S) = 15.265 psi
Allowable Compressive Stress, Cold and New- S cCN , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,375)= 0,002193
B = 15.265 psi
S = 20.000 / 1,00 = 20.000 psiS cCN = min(B, S) = 15.265 psi
Allowable Compressive Stress, Cold and Corroded- S cCC , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,25)= 0,001462
B = 13.713 psi
S = 20.000 / 1,00 = 20.000 psi
S cCC = min(B, S) = 13.713 psi
Allowable Compressive Stress, Vacuum and Corroded- S cVC , (tableCS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,25)= 0,001462
B = 13.713 psi
S = 20.000 / 1,00 = 20.000 psi
S cVC = min(B, S) = 13.713 psi
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,125 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0517"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 169 / ( *21,25 2*20.000*1,20*0,85)= 0"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 141,2 / (2* *21,25*20.000*1,20*0,85)= 0,0001"
tt = tp + t m - tw(total required,tensile)
= 0,0517 + 0 - (0,0001)= 0,0517"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0 + (0,0001) - (0,0517)|= 0,0517"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,25 - 0 + (0,0001)) / (21,125 - 0 ,40*(0,25 - 0 + (0,0001)))= 485,23 psi
Operating, Hot & New, Wind, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0514"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 169 / ( *21,1875 2*20.000*1,20*0,85)= 0"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 223,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0001"
tt = tp + t m - tw(total required,tensile)
= 0,0514 + 0 - (0,0001)= 0,0513"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0 + (0,0001) - (0,0514)|= 0,0513"
Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,375 - 0 + (0,0001)) / (21 - 0,40*(0,3 75 - 0 + (0,0001)))= 733,96 psi
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 169 / ( *21,25 2*13.712,9*1,20)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)= 141,2 / (2* *21,25*13.712,9*1,20)
= 0,0001"tt = |t p + t m - tw| (total, net compressive)
= |0 + 0 - (0,0001)|= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)= 0 + (0,0001) - (0)= 0,0001"
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Hot Shut Down, New, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 169 / ( *21,1875 2*15.264,57*1,20)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)= 223,2 / (2* *21,1875*15.264,57*1,20)= 0,0001"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0 - (0,0001)|= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)= 0 + (0, 0001) - (0)= 0,0001"
Empty, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 169 / ( *21,25 2*13.712,9*1,20)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)= 141,2 / (2* *21,25*13.712,9*1,20)= 0,0001"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0 - (0,0001)|= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)= 0 + (0, 0001) - (0)= 0,0001"
Empty, New, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 169 / ( *21,1875 2*15.264,57*1,20)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)
= 223,2 / (2* *21,1875*15.264,57*1,20)= 0,0001"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0 - (0,0001)|= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)= 0 + (0,0001) - (0)= 0,0001"
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Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 0 / ( *21,25 2*13.712,9*1,00)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)= 141,2 / (2* *21,25*13.712,9*1,00)= 0,0001"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0 - (0,0001)|= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)= 0 + (0, 0001) - (0)= 0,0001"
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,125 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0517"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 692 / ( *21,25 2*20.000*1,20*0,85)= 0"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 141,2 / (2* *21,25*20.000*1,20*0,85)= 0,0001"
tt = tp + t m - tw(total required,
tensile)= 0,0517 + 0 - (0,0001)= 0,0517"
twc = (1 + VAccel)*W / (2* *Rm*St*Ks*Ec) (Weight)= 1,20*141,2 / (2* *21,25*20.000*1,20*0,85)= 0,0001"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0 + (0,0001) - (0,0517)|= 0,0516"
Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.000*1,20*0,85*(0,25 - 0 + (0,0001)) / (21,125 - 0,40*(0,25 - 0 + (0,0001)))= 485,19 psi
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Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0514"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 791 / ( *21,1875 2*20.000*1,20*0,85)= 0"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 223,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0001"
tt = tp + t m - tw(total required,tensile)
= 0,0514 + 0 - (0,0001)= 0,0514"
twc = (1 + VAccel)*W / (2* *Rm*St*Ks*Ec) (Weight)= 1,20*223,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0001"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0 + (0,0001) - (0,0514)|= 0,0513"
Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,375 - 0 + (0,0001)) / (21 - 0,40*(0,375 - 0 + (0,0001)))= 733,92 psi
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 692 / ( *21,25 2*13.712,9*1,20)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)= 141,2 / (2* *21,25*13.712,9*1,20)= 0,0001"
tt = |t p + t m - tw| (total, net compressive)
= |0 + 0 - (0,0001)|= 0"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*141,2 / (2* *21,25*13.712,9*1,20)= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)= 0 + (0,0001) - (0)= 0,0001"
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Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 791 / ( *21,1875 2*15.264,57*1,20)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)= 223,2 / (2* *21,1875*15.264,57*1,20)= 0,0001"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0 - (0,0001)|= 0,0001"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*223,2 / (2* *21,1875*15.264,57*1,20)= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)= 0 + (0, 0001) - (0)= 0,0001"
Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 602 / ( *21,25 2*13.712,9*1,20)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)= 141,2 / (2* *21,25*13.712,9*1,20)= 0,0001"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0 - (0,0001)|= 0"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*141,2 / (2* *21,25*13.712,9*1,20)= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)= 0 + (0, 0001) - (0)= 0,0001"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)
= 697 / ( *21,1875 2*15.264,57*1,20)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)= 223,2 / (2* *21,1875*15.264,57*1,20)= 0,0001"
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tt = |t p + t m - tw| (total, net compressive)= |0 + 0 - (0,0001)|= 0,0001"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*223,2 / (2* *21,1875*15.264,57*1,20)= 0,0001"
tc = tmc + t wc - tpc (total required, compressive)
= 0 + (0,0001) - (0)= 0,0001"
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BOTTOM HEAD
ASME Section VIII, Division 1, 2010 Edition, A11 Addenda
Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D p.18, ln. 19)Straight Flange governs MDMT
Internal design pressure: P = 100 psi @ 150 F
Static liquid head:
P s= 2,75 psi (SG=0,8, H s=95,25" Operating head)P th= 1,52 psi (SG=1, H s=42,0625" Horizontal test head)
Corrosion allowance: Inner C = 0,125" Outer C = 0"
Design MDMT = -20F No impact test performedRated MDMT = -55F Material is not normalized
Material is produced to fine grain practicePWHT is not performedDo not Optimize MDMT / Find MAWP
Radiography: Category A joints - Seamless No RTHead to shell seam - Spot UW-11(b) Type 1
Estimated weight*: new = 176,4 lb corr = 95 lbCapacity*: new = 54 US gal corr = 55,1 US gal* includes straight flange
Inner diameter = 42"Minimum head thickness = 0,255"Head ratio D/2h = 2 (new)Head ratio D/2h = 1,9882 (corroded)Straight flange length L sf = 2"Nominal straight flange thickness t sf = 0,375"Results Summary
The governing condition is internal pressure.Minimum thickness per UG-16 = 0,0625" + 0, 125" = 0,1875"Design thickness due to internal pressure (t) = 0,2518 "Maximum allowable working pressure (MAWP) = 102,62 psiMaximum allowable pressure (MAP) = 206,18 psi
K (Corroded)K=(1/6)*[2 + (D / (2*h)) 2]=(1/6)*[2 + (42,25 / (2*10,625)) 2]=0,99218
K (New)
K=(1/6)*[2 + (D / (2*h)) 2]=(1/6)*[2 + (42 / (2*10,5)) 2]=1
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Design thickness for internal pressure, (Corroded at 150 F) Appendix 1-4(c)
t = P*D*K / (2*S*E - 0,2*P) + Corrosion= 102,75*42,25*0,99218 / (2*20.000*0,85 - 0,2*102 ,75) + 0 ,125= 0,2518"
The head internal pressure design thickness is 0,2518 ".
Maximum allowable working pressure, (Corroded at 150 F) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0,2*t) - P s= 2*20.000*0,85*0,13 / (0,99218*42,25 +0,2*0,13) - 2,75= 102,62 psi
The maximum allowable working pressure (MAWP) is 102,62 psi.
Maximum allowable pressure, (New at 50 F) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0,2*t) - P s= 2*20.000*0,85*0,255 / (1*42 +0,2*0,255) - 0= 206,18 psi
The maximum allowable pressure (MAP) is 206,18 psi.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / R f)*(1 - R f / R o)= (75*0,375 / 7,3275)*(1 - 7,3275 / infinity)= 3,8383%
The extreme fiber elongation does not exceed 5%.
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Straight Flange on BOTTOM HEAD
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
Component: Straight FlangeMaterial specification: SA-516 70 (II-D p. 18, ln. 19)Material impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 75,6 F, (coincident ratio = 0,4344)Rated MDMT of -95,6F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in
Internal design pressure: P = 100 psi @ 150 F
Static liquid head:
P s = 2,44 psi (SG = 0,8, H s =84,625",Operating head)
P th = 1,52 psi (SG = 1, H s = 42,0625",Horizontal test head)
Corrosion allowance Inner C = 0,125" Outer C = 0"
Design MDMT = -20 F No impact test performedRated MDMT = -55 F Material is not normalized
Material is produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Seamless No RTCircumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 28,3 lb corr = 18,9 lbCapacity New = 12 US gal corr = 12,14 US gal
ID = 42"
LengthLc= 2"
t = 0,375"
Design thickness, (at 150 F) UG-27(c)(1)
t = P*R / (S*E - 0,60*P) + Corrosion= 102,44*21,125 / (20.000*0,85 - 0,60*102,44) + 0,125= 0,2528"
Maximum allowable working pressure, (at 150 F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t) - P s= 20.000*0,85*0,25 / (21,125 + 0,60*0,25) - 2,44= 197,32 psi
Maximum allowable pressure, (at 50 F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t)= 20.000*0,85*0,375 / (21 + 0,60*0,375)= 300,35 psi
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% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / R f)*(1 - R f / R o)= (50*0,375 / 21,1875)*(1 - 21,1875 / infinity)= 0,885%
The extreme fiber elongation does not exceed 5%.
Design thickness = 0,2528"
The governing condition is due to internal pressure.
The cylinder thickness of 0,375" is adequate.
Thickness Required Due to Pressure + External Loads
Con dition Pressure P (psi)
AllowableStress BeforeUG-23 StressIncrease ( psi)
Temperature ( F)
Corrosion C(in) Load
Req'd Thk Due toTension (in)
Req'd Thk D ue toCompressio n (in)
S t S c
Operating, Hot & Corroded 100 20.000 13.713 150 0,125Wind 0,0552 0,0458
Seismic 0,0536 0,0473
Operating, Hot & New 100 20.000 15.265 150 0 Wind 0,0547 0,0452
Seismic 0,0533 0,0462
Hot Shut Down, Corroded 0 20.000 13.713 150 0,125 Wind 0,0035 0,0073
Seismic 0,0018 0,0055
Hot Shut Down, New 0 20.000 15.265 150 0 Wind 0,0033 0,007
Seismic 0,0019 0,0058
Empty, Corroded 0 20.000 13.713 70 0,125 Wind 0,0035 0,0073
Seismic 0,001 0,0046
Empty, New 0 20.000 15.265 70 0 Wind 0,0033 0,007
Seismic 0,0011 0,0049
Hot Shut Down, Corroded, Weight& Eccentric Moments Only 0 20.000 13.713 150 0,125 Weight 0,0009 0,0027
Allowable Compressive Stress, Hot and Corroded- S cHC , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,25)= 0,001462
B = 13.713 psi
S = 20.000 / 1,00 = 20.000 psi
S cHC = min(B, S) = 13.713 psi
Allowable Compressive Stress, Hot and New- S cHN , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,375)= 0,002193
B = 15.265 psi
S = 20.000 / 1,00 = 20.000 psi
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S cHN = min(B, S) = 15.265 psi
Allowable Compressive Stress, Cold and New- S cCN , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,375)= 0,002193
B = 15.265 psi
S = 20.000 / 1,00 = 20.000 psiS cCN = min(B, S) = 15.265 psi
Allowable Compressive Stress, Cold and Corroded- S cCC , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,25)= 0,001462
B = 13.713 psi
S = 20.000 / 1,00 = 20.000 psi
S cCC = min(B, S) = 13.713 psi
Allowable Compressive Stress, Vacuum and Corroded- S cVC , (tableCS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,25)= 0,001462
B = 13.713 psi
S = 20.000 / 1,00 = 20.000 psi
S cVC = min(B, S) = 13.713 psi
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,125 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0517"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 136.397 / ( *21,25 2*20.000*1,20*0,85)= 0,0047"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.255,6 / (2* *21,25*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw(total required,tensile)
= 0,0517 + 0,0047 - (0,0012)= 0,0552"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,0047 + (0,0012) - (0,0517)|= 0,0458"
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= 3.255,6 / (2* *21,25*13.712,9*1,20)= 0,0015"
tc = tmc + t wc - tpc (total required, compressive)= 0,005 8 + (0,0015) - (0)= 0,0073"
Hot Shut Down, New, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 136.965 / ( *21,1875 2*20.000*1,20*0,85)= 0,0048"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.069,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0048 - (0,0015)= 0,0033"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 136.965 / ( *21,1875 2*15.264,57*1,20)= 0,0053"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 4.069,2 / (2* *21,1875*15.264,57*1,20)= 0,0017"
tc = tmc + t wc - tpc (total required, compressive)= 0,005 3 + (0,0017) - (0)= 0,007"
Empty, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 136.397 / ( *21,25 2*20.000*1,20*0,85)= 0,0047"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.255,6 / (2* *21,25*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0047 - (0,0012)= 0,0035"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 136.397 / ( *21,25 2*13.712,9*1,20)= 0,0058"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 3.255,6 / (2* *21,25*13.712,9*1,20)= 0,0015"
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tc = tmc + t wc - tpc (total required, compressive)= 0,005 8 + (0,0015) - (0)= 0,0073"
Empty, New, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 136.965 / ( *21,1875 2*20.000*1,20*0,85)= 0,0048"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.069,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0048 - (0,0015)= 0,0033"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 136.965 / ( *21,1875 2*15.264,57*1,20)= 0,0053"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 4.069,2 / (2* *21,1875*15.264,57*1,20)= 0,0017"
tc = tmc + t wc - tpc (total required, compressive)= 0,005 3 + (0,0017) - (0)= 0,007"
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)= 17.337 / ( *21,25 2*13.712,9*1,00)= 0,0009"
tw = W / (2**Rm*Sc*Ks) (Weight)= 3.255,6 / (2* *21,25*13.712,9*1,00)= 0,0018"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0,0009 - (0,0018)|= 0,0009"
tc = tmc + t wc - tpc (total required, compressive)= 0,0009 + (0,0018) - (0)= 0,0027"
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,125 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0517"
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tm = M / ( *Rm2*St*Ks*Ec) (bending)= 87.555 / ( *21,25 2*20.000*1,20*0,85)= 0,003"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.255,6 / (2* *21,25*20.000*1,20*0,85)= 0,0012"
tt
= tp + t
m - t
w
(total required,
tensile)= 0,0517 + 0,003 - (0,0012)= 0,0536"
twc = (1 + VAccel)*W / (2* *Rm*St*Ks*Ec) (Weight)= 1,20*3.255,6 / (2* *21,25*20.000*1,20*0,85)= 0,0014"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,003 + (0,0014) - (0,0517)|= 0,0473"
Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,25 - 0,003 + (0,0012)) / (21,125 - 0,40*(0,25 - 0,003 + (0,0012)))= 481,57 psi
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0514"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 97.684 / ( *21,1875 2*20.000*1,20*0,85)= 0,0034"
tw = W / (2**Rm*St*Ks*Ec) (Weight)= 4.069,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0,0514 + 0,0034 - (0,0015)= 0,0533"
twc = (1 + VAccel)*W / (2* *Rm*St*Ks*Ec) (Weight)= 1,20*4.069,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0018"
tc = |t mc + t wc - tpc | (total, net tensile)= |0,0034 + (0,0018) - (0,0514)|= 0,0462"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,375 - 0,0034 + (0,0015)) / (21 - 0,40*( 0,375 - 0,0034 + (0,0015)))= 730,07 psi
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)= 87.555 / ( *21,25 2*20.000*1,20*0,85)= 0,003"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.255,6 / (2* *21,25*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,003 - (0,0012)= 0,0018"
tmc = M / ( *Rm2
*Sc*Ks) (bending)= 87.555 / ( *21,25 2*13.712,9*1,20)= 0,0038"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*3.255,6 / (2* *21,25*13.712,9*1,20)= 0,0018"
tc = tmc + t wc - tpc (total required, compressive)= 0,003 8 + (0,0018) - (0)= 0,0055"
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 97.684 / ( *21,1875 2*20.000*1,20*0,85)= 0,0034"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.069,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0034 - (0,0015)
= 0,0019"tmc = M / ( *Rm2*Sc*Ks) (bending)
= 97.684 / ( *21,1875 2*15.264,57*1,20)= 0,0038"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*4.069,2 / (2* *21,1875*15.264,57*1,20)= 0,002"
tc = tmc + t wc - tpc (total required, compressive)
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= 0,003 8 + (0,002) - (0)= 0,0058"
Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 64.918 / ( *21,25 2*20.000*1,20*0,85)
= 0,0022"tw = W / (2* *Rm*St*Ks*Ec) (Weight)
= 3.255,6 / (2* *21,25*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0022 - (0,0012)= 0,001"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 64.918 / ( *21,25 2*13.712,9*1,20)= 0,0028"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*3.255,6 / (2* *21,25*13.712,9*1,20)= 0,0018"
tc = tmc + t wc - tpc (total required, compressive)= 0,002 8 + (0,0018) - (0)= 0,0046"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 74.968 / ( *21,1875 2*20.000*1,20*0,85)= 0,0026"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.069,2 / (2* *21,1875*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0026 - (0,0015)= 0,0011"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 74.968 / ( *21,1875 2*15.264,57*1,20)= 0,0029"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*4.069,2 / (2* *21,1875*15.264,57*1,20)= 0,002"
tc = tmc + t wc - tpc (total required, compressive)= 0,0029 + (0,002) - (0)= 0,0049"
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Cylinder #1
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
Component: CylinderMaterial specification: SA-516 70 (II-D p. 18, ln. 19)Material impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 45,6 F, (coincident ratio = 0,5717)Rated MDMT of -65,6F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in
Internal design pressure: P = 100 psi @ 150 F
Static liquid head:
P s = 0,83 psi (SG = 0,8, H s = 28,625",Operating head)
P th = 1,52 psi (SG = 1, H s = 42,125", Horizontal testhead)
Corrosion allowance Inner C = 0,125" Outer C = 0"
Design MDMT = -20 F No impact test performedRated MDMT = -55 F Material is not normalized
Material is produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Spot UW-11(b) Type 1Top circumferential joint - Spot UW-11(b) Type 1Bottom circumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 1.097,9 lb corr = 660,7 lbCapacity New = 579,2 US gal corr = 586,1 US gal
ID = 42,125"
LengthLc= 96"
t = 0,3125"
Design thickness, (at 150 F) UG-27(c)(1)
t = P*R / (S*E - 0,60*P) + Corrosion= 100,83*21,1875 / (20.000*0,85 - 0,60*100,83) + 0,125= 0,2512"
Maximum allowable working pressure, (at 150 F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t) - P s= 20.000*0,85*0,1875 / (21,1875 + 0,60*0,1875) - 0,83= 148,82 psi
Maximum allowable pressure, (at 50 F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t)= 20.000*0,85*0,3125 / (21,0625 + 0,60*0,3125)= 250 psi
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% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / R f)*(1 - R f / R o)= (50*0,3125 / 21,2188)*(1 - 21,2188 / infinity)= 0,7364%
The extreme fiber elongation does not exceed 5%.
Design thickness = 0,2512"
The governing condition is due to internal pressure.
The cylinder thickness of 0,3125" is adequate.
Thickness Required Due to Pressure + External Loads
Con dition Pressure P (psi)
AllowableStress BeforeUG-23 StressIncrease ( psi)
Temperature ( F)
Corrosion C(in) Load
Req'd Thk Due toTension (in)
Req'd Thk D ue toCompressio n (in)
S t S c
Operating, Hot & Corroded 100 20.000 12.629 150 0,125Wind 0,0534 0,0482
Seismic 0,0525 0,049
Operating, Hot & New 100 20.000 14.618 150 0 Wind 0,053 0,0477
Seismic 0,0522 0,0482
Hot Shut Down, Corroded 0 20.000 12.629 150 0,125 Wind 0,0016 0,0049
Seismic 0,0006 0,0039
Hot Shut Down, New 0 20.000 14.618 150 0 Wind 0,0014 0,0045
Seismic 0,0006 0,0039
Empty, Corroded 0 20.000 12.629 70 0,125 Wind 0,0016 0,0049
Seismic 0,0004 0,0036
Empty, New 0 20.000 14.618 70 0 Wind 0,0014 0,0045
Seismic 0,0004 0,0037
Hot Shut Down, Corroded, Weight& Eccentric Moments Only 0 20.000 12.629 150 0,125 Weight 0,0007 0,0026
Allowable Compressive Stress, Hot and Corroded- S cHC , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,1875)= 0,001096
B = 12.629 psi
S = 20.000 / 1,00 = 20.000 psi
S cHC = min(B, S) = 12.629 psi
Allowable Compressive Stress, Hot and New- S cHN , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,3125)= 0,001827
B = 14.618 psi
S = 20.000 / 1,00 = 20.000 psi
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S cHN = min(B, S) = 14.618 psi
Allowable Compressive Stress, Cold and New- S cCN , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,3125)= 0,001827
B = 14.618 psi
S = 20.000 / 1,00 = 20.000 psiS cCN = min(B, S) = 14.618 psi
Allowable Compressive Stress, Cold and Corroded- S cCC , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,1875)= 0,001096
B = 12.629 psi
S = 20.000 / 1,00 = 20.000 psi
S cCC = min(B, S) = 12.629 psi
Allowable Compressive Stress, Vacuum and Corroded- S cVC , (tableCS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,1875)= 0,001096
B = 12.629 psi
S = 20.000 / 1,00 = 20.000 psi
S cVC = min(B, S) = 12.629 psi
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,1875 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0519"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 75.629 / ( *21,2813 2*20.000*1,20*0,85)= 0,0026"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 2.827,1 / (2* *21,2813*20.000*1,20*0,85)= 0,001"
tt = tp + t m - tw(total required,tensile)
= 0,0519 + 0,0026 - (0,001)= 0,0534"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,0026 + (0,001) - (0,0519)|= 0,0482"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,1875 - 0,0026 + (0,001)) / (21, 1875 - 0,40*(0,1875 - 0,0026 + (0,001)))= 359,3 psi
Operating, Hot & New, Wind, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,0625 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0516"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 76.153 / ( *21,2188 2*20.000*1,20*0,85)= 0,0026"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.373,4 / (2* *21,2188*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw(total required,tensile)
= 0,0516 + 0,0026 - (0,0012)= 0,053"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,0026 + (0,0012) - (0,0516)|= 0,0477"
Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,3125 - 0,0026 + (0,0012)) / (21,062 5 - 0,40*(0,3125 - 0,0026 + (0,0012)))= 606,21 psi
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 75.629 / ( *21,2813 2*20.000*1,20*0,85)= 0,0026"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 2.827,1 / (2* *21,2813*20.000*1,20*0,85)
= 0,001"tt = tp + t m - tw (total required, tensile)
= 0 + 0,0026 - (0,001)= 0,0016"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 75.629 / ( *21,2813 2*12.628,7*1,20)= 0,0035"
twc = W / (2* *Rm*Sc*Ks) (Weight)
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= 2.827,1 / (2* *21,2813*12.628,7*1,20)= 0,0014"
tc = tmc + t wc - tpc (total required, compressive)= 0,003 5 + (0,0014) - (0)= 0,0049"
Hot Shut Down, New, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 76.153 / ( *21,2188 2*20.000*1,20*0,85)= 0,0026"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.373,4 / (2* *21,2188*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0026 - (0,0012)= 0,0014"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 76.153 / ( *21,2188 2*14.617,56*1,20)= 0,0031"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 3.373,4 / (2* *21,2188*14.617,56*1,20)= 0,0014"
tc = tmc + t wc - tpc (total required, compressive)= 0,003 1 + (0,0014) - (0)= 0,0045"
Empty, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 75.629 / ( *21,2813 2*20.000*1,20*0,85)= 0,0026"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 2.827,1 / (2* *21,2813*20.000*1,20*0,85)= 0,001"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0026 - (0,001)= 0,0016"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 75.629 / ( *21,2813 2*12.628,7*1,20)= 0,0035"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 2.827,1 / (2* *21,2813*12.628,7*1,20)= 0,0014"
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tc = tmc + t wc - tpc (total required, compressive)= 0,003 5 + (0,0014) - (0)= 0,0049"
Empty, New, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 76.153 / ( *21,2188 2*20.000*1,20*0,85)= 0,0026"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.373,4 / (2* *21,2188*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0026 - (0,0012)= 0,0014"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 76.153 / ( *21,2188 2*14.617,56*1,20)= 0,0031"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 3.373,4 / (2* *21,2188*14.617,56*1,20)= 0,0014"
tc = tmc + t wc - tpc (total required, compressive)= 0,003 1 + (0,0014) - (0)= 0,0045"
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)= 17.107 / ( *21,2813 2*12.628,7*1,00)= 0,001"
tw = W / (2**Rm*Sc*Ks) (Weight)= 2.827,1 / (2* *21,2813*12.628,7*1,00)= 0,0017"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0,001 - (0,0017)|= 0,0007"
tc = tmc + t wc - tpc (total required, compressive)= 0,001 + (0,0017) - (0)= 0,0026"
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,1875 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0519"
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tm = M / ( *Rm2*St*Ks*Ec) (bending)= 48.485 / ( *21,2813 2*20.000*1,20*0,85)= 0,0017"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 2.827,1 / (2* *21,2813*20.000*1,20*0,85)= 0,001"
tt
= tp + t
m - t
w
(total required,
tensile)= 0,0519 + 0,0017 - (0,001)= 0,0525"
twc = (1 + VAccel)*W / (2* *Rm*St*Ks*Ec) (Weight)= 1,20*2.827,1 / (2* *21,2813*20.000*1,20*0,85)= 0,0012"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,0017 + (0,0012) - (0,0519)|= 0,049"
Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,1875 - 0,0017 + (0,001)) / (21,187 5 - 0,40*(0,1875 - 0,0017 + (0,001)))= 361,11 psi
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,0625 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0516"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 54.053 / ( *21,2188 2*20.000*1,20*0,85)= 0,0019"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.373,4 / (2* *21,2188*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw(total required,tensile)
= 0,0516 + 0,0019 - (0,0012)= 0,0522"
twc = (1 + VAccel)*W / (2* *Rm*St*Ks*Ec) (Weight)= 1,20*3.373,4 / (2* *21,2188*20.000*1,20*0,85)= 0,0015"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,0019 + (0,0015) - (0,0516)|= 0,0482"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,3125 - 0,0019 + (0,0012)) / (21,0625 - 0,40*(0,3125 - 0,0019 + (0,0012)))= 607,71 psi
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)= 48.485 / ( *21,2813 2*20.000*1,20*0,85)= 0,0017"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 2.827,1 / (2* *21,2813*20.000*1,20*0,85)= 0,001"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0017 - (0,001)= 0,0006"
tmc = M / ( *Rm2
*Sc*Ks) (bending)= 48.485 / ( *21,2813 2*12.628,7*1,20)= 0,0022"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*2.827,1 / (2* *21,2813*12.628,7*1,20)= 0,0017"
tc = tmc + t wc - tpc (total required, compressive)= 0,002 2 + (0,0017) - (0)= 0,0039"
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 54.053 / ( *21,2188 2*20.000*1,20*0,85)= 0,0019"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.373,4 / (2* *21,2188*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0019 - (0,0012)
= 0,0006"tmc = M / ( *Rm2*Sc*Ks) (bending)
= 54.053 / ( *21,2188 2*14.617,56*1,20)= 0,0022"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*3.373,4 / (2* *21,2188*14.617,56*1,20)= 0,0017"
tc = tmc + t wc - tpc (total required, compressive)
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= 0,002 2 + (0,0017) - (0)= 0,0039"
Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 42.492 / ( *21,2813 2*20.000*1,20*0,85)
= 0,0015"tw = W / (2* *Rm*St*Ks*Ec) (Weight)
= 2.827,1 / (2* *21,2813*20.000*1,20*0,85)= 0,001"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0015 - (0,001)= 0,0004"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 42.492 / ( *21,2813 2*12.628,7*1,20)= 0,002"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*2.827,1 / (2* *21,2813*12.628,7*1,20)= 0,0017"
tc = tmc + t wc - tpc (total required, compressive)= 0,002 + (0,0017) - (0)= 0,0036"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 47.837 / ( *21,2188 2*20.000*1,20*0,85)= 0,0017"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.373,4 / (2* *21,2188*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0017 - (0,0012)= 0,0004"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 47.837 / ( *21,2188 2*14.617,56*1,20)= 0,0019"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*3.373,4 / (2* *21,2188*14.617,56*1,20)= 0,0017"
tc = tmc + t wc - tpc (total required, compressive)= 0,0019 + (0,0017) - (0)= 0,0037"
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Cylinder #2
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
Component: CylinderMaterial specification: SA-516 70 (II-D p. 18, ln. 19)Material impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 44,6 F, (coincident ratio = 0,5806)Rated MDMT of -64,6F is limited to -55F by UCS-66(b)(2)
UCS-66 governing thickness = 0,3125 in
Internal design pressure: P = 100 psi @ 150 F
Static liquid head:
P s = 2,39 psi (SG = 0,8, H s = 82,625",Operating head)
P th = 1,52 psi (SG = 1, H s = 42,125", Horizontal testhead)
Corrosion allowance Inner C = 0,125" Outer C = 0"
Design MDMT = -20 F No impact test performedRated MDMT = -55 F Material is not normalized
Material is produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Spot UW-11(b) Type 1Top circumferential joint - Spot UW-11(b) Type 1Bottom circumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 635,1 lb corr = 382,2 lbCapacity New = 325,8 US gal corr = 329,68 US gal
ID = 42,125"
LengthLc= 54"
t = 0,3125"
Design thickness, (at 150 F) UG-27(c)(1)
t = P*R / (S*E - 0,60*P) + Corrosion= 102,39*21,1875 / (20.000*0,85 - 0,60*102,39) + 0,125= 0,2531"
Maximum allowable working pressure, (at 150 F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t) - P s= 20.000*0,85*0,1875 / (21,1875 + 0,60*0,1875) - 2,39= 147,26 psi
Maximum allowable pressure, (at 50 F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t)= 20.000*0,85*0,3125 / (21,0625 + 0,60*0,3125)= 250 psi
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% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / R f)*(1 - R f / R o)= (50*0,3125 / 21,2188)*(1 - 21,2188 / infinity)= 0,7364%
The extreme fiber elongation does not exceed 5%.
Design thickness = 0,2531"
The governing condition is due to internal pressure.
The cylinder thickness of 0,3125" is adequate.
Thickness Required Due to Pressure + External Loads
Con dition Pressure P (psi)
AllowableStress BeforeUG-23 StressIncrease ( psi)
Temperature ( F)
Corrosion C(in) Load
Req'd Thk Due toTension (in)
Req'd Thk D ue toCompressio n (in)
S t S c
Operating, Hot & Corroded 100 20.000 12.629 150 0,125Wind 0,0554 0,046
Seismic 0,0537 0,0474
Operating, Hot & New 100 20.000 14.618 150 0 Wind 0,0548 0,0453
Seismic 0,0535 0,0464
Hot Shut Down, Corroded 0 20.000 12.629 150 0,125 Wind 0,0035 0,0079
Seismic 0,0018 0,006
Hot Shut Down, New 0 20.000 14.618 150 0 Wind 0,0033 0,0072
Seismic 0,0019 0,006
Empty, Corroded 0 20.000 12.629 70 0,125 Wind 0,0035 0,0079
Seismic 0,0011 0,0049
Empty, New 0 20.000 14.618 70 0 Wind 0,0033 0,0072
Seismic 0,0011 0,0051
Hot Shut Down, Corroded, Weight& Eccentric Moments Only 0 20.000 12.629 150 0,125 Weight 0,001 0,0029
Allowable Compressive Stress, Hot and Corroded- S cHC , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,1875)= 0,001096
B = 12.629 psi
S = 20.000 / 1,00 = 20.000 psi
S cHC = min(B, S) = 12.629 psi
Allowable Compressive Stress, Hot and New- S cHN , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,3125)= 0,001827
B = 14.618 psi
S = 20.000 / 1,00 = 20.000 psi
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S cHN = min(B, S) = 14.618 psi
Allowable Compressive Stress, Cold and New- S cCN , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,3125)= 0,001827
B = 14.618 psi
S = 20.000 / 1,00 = 20.000 psiS cCN = min(B, S) = 14.618 psi
Allowable Compressive Stress, Cold and Corroded- S cCC , (table CS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,1875)= 0,001096
B = 12.629 psi
S = 20.000 / 1,00 = 20.000 psi
S cCC = min(B, S) = 12.629 psi
Allowable Compressive Stress, Vacuum and Corroded- S cVC , (tableCS-2)A = 0,125 / (R o / t)
= 0,125 / (21,375 / 0,1875)= 0,001096
B = 12.629 psi
S = 20.000 / 1,00 = 20.000 psi
S cVC = min(B, S) = 12.629 psi
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,1875 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0519"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 136.397 / ( *21,2813 2*20.000*1,20*0,85)= 0,0047"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.236,7 / (2* *21,2813*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw(total required,tensile)
= 0,0519 + 0,0047 - (0,0012)= 0,0554"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,0047 + (0,0012) - (0,0519)|= 0,046"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,1875 - 0,0047 + (0,0012)) / (2 1,1875 - 0,40*(0,1875 - 0,0047 + (0,0012)))= 355,53 psi
Operating, Hot & New, Wind, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,0625 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0516"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 136.965 / ( *21,2188 2*20.000*1,20*0,85)= 0,0047"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.040,9 / (2* *21,2188*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw(total required,tensile)
= 0,0516 + 0,0047 - (0,0015)= 0,0548"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,0047 + (0,0015) - (0,0516)|= 0,0453"
Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,3125 - 0,0047 + (0,0015)) / (21,062 5 - 0,40*(0,3125 - 0,0047 + (0,0015)))= 602,56 psi
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 136.397 / ( *21,2813 2*20.000*1,20*0,85)= 0,0047"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.236,7 / (2* *21,2813*20.000*1,20*0,85)
= 0,0012"tt = tp + t m - tw (total required, tensile)
= 0 + 0,0047 - (0,0012)= 0,0035"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 136.397 / ( *21,2813 2*12.628,7*1,20)= 0,0063"
twc = W / (2* *Rm*Sc*Ks) (Weight)
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= 3.236,7 / (2* *21,2813*12.628,7*1,20)= 0,0016"
tc = tmc + t wc - tpc (total required, compressive)= 0,006 3 + (0,0016) - (0)= 0,0079"
Hot Shut Down, New, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 136.965 / ( *21,2188 2*20.000*1,20*0,85)= 0,0047"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.040,9 / (2* *21,2188*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0047 - (0,0015)= 0,0033"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 136.965 / ( *21,2188 2*14.617,56*1,20)= 0,0055"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 4.040,9 / (2* *21,2188*14.617,56*1,20)= 0,0017"
tc = tmc + t wc - tpc (total required, compressive)= 0,005 5 + (0,0017) - (0)= 0,0072"
Empty, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 136.397 / ( *21,2813 2*20.000*1,20*0,85)= 0,0047"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.236,7 / (2* *21,2813*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0047 - (0,0012)= 0,0035"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 136.397 / ( *21,2813 2*12.628,7*1,20)= 0,0063"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 3.236,7 / (2* *21,2813*12.628,7*1,20)= 0,0016"
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tc = tmc + t wc - tpc (total required, compressive)= 0,006 3 + (0,0016) - (0)= 0,0079"
Empty, New, Wind, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 136.965 / ( *21,2188 2*20.000*1,20*0,85)= 0,0047"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.040,9 / (2* *21,2188*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0047 - (0,0015)= 0,0033"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 136.965 / ( *21,2188 2*14.617,56*1,20)= 0,0055"
twc = W / (2* *Rm*Sc*Ks) (Weight)= 4.040,9 / (2* *21,2188*14.617,56*1,20)= 0,0017"
tc = tmc + t wc - tpc (total required, compressive)= 0,005 5 + (0,0017) - (0)= 0,0072"
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*Sc*Ks) (bending)= 17.337 / ( *21,2813 2*12.628,7*1,00)= 0,001"
tw = W / (2**Rm*Sc*Ks) (Weight)= 3.236,7 / (2* *21,2813*12.628,7*1,00)= 0,0019"
tt = |t p + t m - tw| (total, net compressive)= |0 + 0,001 - (0,0019)|= 0,001"
tc = tmc + t wc - tpc (total required, compressive)= 0,001 + (0,0019) - (0)= 0,0029"
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,1875 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0519"
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tm = M / ( *Rm2*St*Ks*Ec) (bending)= 87.555 / ( *21,2813 2*20.000*1,20*0,85)= 0,003"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.236,7 / (2* *21,2813*20.000*1,20*0,85)= 0,0012"
tt
= tp + t
m - t
w
(total required,
tensile)= 0,0519 + 0,003 - (0,0012)= 0,0537"
twc = (1 + VAccel)*W / (2* *Rm*St*Ks*Ec) (Weight)= 1,20*3.236,7 / (2* *21,2813*20.000*1,20*0,85)= 0,0014"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,003 + (0,0014) - (0,0519)|= 0,0474"
Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,1875 - 0,003 + (0,0012)) / (21,187 5 - 0,40*(0,1875 - 0,003 + (0,0012)))= 358,8 psi
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / (2*S t*Ks*Ec + 0,40*|P|) (Pressure)= 100*21,0625 / (2*20.000*1,20*0,85 + 0,40*|100|)= 0,0516"
tm = M / ( *Rm2*St*Ks*Ec) (bending)= 97.684 / ( *21,2188 2*20.000*1,20*0,85)= 0,0034"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.040,9 / (2* *21,2188*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw(total required,tensile)
= 0,0516 + 0,0034 - (0,0015)= 0,0535"
twc = (1 + VAccel)*W / (2* *Rm*St*Ks*Ec) (Weight)= 1,20*4.040,9 / (2* *21,2188*20.000*1,20*0,85)= 0,0018"
tc = |t mc + t wc - tpc |(total, nettensile)
= |0,0034 + (0,0018) - (0,0516)|= 0,0464"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*S t*Ks*Ec*(t - tm + t w) / (R - 0,40*(t - t m + t w))= 2*20.00 0*1,20*0,85*(0,3125 - 0,0034 + (0,0015)) / (21,0625 - 0,40*(0,3125 - 0,0034 + (0,0015)))= 605,23 psi
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)= 87.555 / ( *21,2813 2*20.000*1,20*0,85)= 0,003"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 3.236,7 / (2* *21,2813*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,003 - (0,0012)= 0,0018"
tmc = M / ( *Rm2
*Sc*Ks) (bending)= 87.555 / ( *21,2813 2*12.628,7*1,20)= 0,0041"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*3.236,7 / (2* *21,2813*12.628,7*1,20)= 0,0019"
tc = tmc + t wc - tpc (total required, compressive)= 0,004 1 + (0,0019) - (0)= 0,006"
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 97.684 / ( *21,2188 2*20.000*1,20*0,85)= 0,0034"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.040,9 / (2* *21,2188*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0034 - (0,0015)
= 0,0019"tmc = M / ( *Rm2*Sc*Ks) (bending)
= 97.684 / ( *21,2188 2*14.617,56*1,20)= 0,0039"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*4.040,9 / (2* *21,2188*14.617,56*1,20)= 0,0021"
tc = tmc + t wc - tpc (total required, compressive)
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= 0,003 9 + (0,0021) - (0)= 0,006"
Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 64.918 / ( *21,2813 2*20.000*1,20*0,85)
= 0,0022"tw = W / (2* *Rm*St*Ks*Ec) (Weight)
= 3.236,7 / (2* *21,2813*20.000*1,20*0,85)= 0,0012"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0022 - (0,0012)= 0,0011"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 64.918 / ( *21,2813 2*12.628,7*1,20)= 0,003"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*3.236,7 / (2* *21,2813*12.628,7*1,20)= 0,0019"
tc = tmc + t wc - tpc (total required, compressive)= 0,003 + (0,0019) - (0)= 0,0049"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / ( *Rm2*St*Ks*Ec) (bending)
= 74.968 / ( *21,2188 2*20.000*1,20*0,85)= 0,0026"
tw = W / (2* *Rm*St*Ks*Ec) (Weight)= 4.040,9 / (2* *21,2188*20.000*1,20*0,85)= 0,0015"
tt = tp + t m - tw (total required, tensile)= 0 + 0,0026 - (0,0015)= 0,0011"
tmc = M / ( *Rm2*Sc*Ks) (bending)= 74.968 / ( *21,2188 2*14.617,56*1,20)= 0,003"
twc = (1 + VAccel)*W / (2* *Rm*Sc*Ks) (Weight)= 1,20*4.040,9 / (2* *21,2188*14.617,56*1,20)= 0,0021"
tc = tmc + t wc - tpc (total required, compressive)= 0,003 + (0,0021) - (0)= 0,0051"
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ENTRADA (N1)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
tw(lower) = 0,3125 inLeg 41 = 0,375 in
Note: round inside edges per UG-76(c)
Location and OrientationLocated on: Cylinder #1Orientation: 270Nozzle center line offset to datum line: 80 inEnd of nozzle to shell center: 27,375 inPasses through a Category A joint: No
NozzleMaterial specification: SA-106 B Smls pipe (II-D p. 10, ln. 40)Description: NPS 6 Sch 40 (Std)Inside diameter, new: 6,065 in
Nominal wall thickness: 0,28 inCorrosion allowance: 0,125 inProjection available outside vessel, Lpr: 2,5 inProjection available outside vessel to flange face, Lf: 6 inLocal vessel minimum thickness: 0,3125 inLiquid static head included: 0,1634 psiLongitudinal joint efficiency: 1
ASME B16.5-2009 FlangeDescription: NPS 6 Class 150 WN A105
Bolt Material: SA-193 B7 Bolt
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Reinforcement Calculations for Internal Pressure
UG-37 Area Calculation Summary (in 2)For P = 100,16 psi @ 150 F
The opening is adequately reinforced
UG-45 NozzleWall
ThicknessSummary (in)The nozzle passes
UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
0,6769 0,7189 0,5083 0,0904 -- -- 0,1202 0,2314 0,245
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(1)
UW-16 Weld Sizi ng Sum mary
Weld description Required weld
throat size (in)
Actual weld
throat size (in)Status
Nozzle to shell fillet (Leg 41 ) 0,1085 0,2625 weld size is adequate
Calculations for internal pressure 100,16 psi @ 150 F
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -155 F per UCS-66(b)(3) (coincident ratio = 0,1547).
Nozzle UCS-66 governing thk: 0,245 inNozzle rated MDMT: -155 FParallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(6,315, 3,1575 + (0,28 - 0,125) + (0,3125 - 0,125))= 6,315 in
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2,5*(t - C), 2,5*(t n - C n) + t e)= MIN(2,5*(0,3125 - 0,125), 2,5*(0,28 - 0,125) + 0)= 0,3875 in
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0,6*P)= 100,1634*3,1575 / (17.100*1 - 0,6*100,1634)= 0,0186 in
Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0,6*P)
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= 100,1634*21,1875 / (20.000*1 - 0,6*100,1634)= 0,1064 in
Area required per UG-37(c)
Allowable stresses: S n = 17.100, S v = 20.000 psi
fr1 = lesser of 1 or S n / S v = 0,855
fr2 = lesser of 1 or S n / S v = 0,855
A = d*tr*F + 2*tn*tr*F*(1 - fr1)= 6,315*0,1064*1 + 2*0,155*0,1064*1*(1 - 0,855)= 0,6769 in2
Area available from FIG. UG-37.1
A1 = larger of the following= 0,5083 in2
= d*(E 1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - f r1)= 6,315*(1*0,1875 - 1*0,1064) - 2*0,155*(1*0,1875 - 1*0,1064)*(1 - 0,855)= 0,5083 in 2
= 2*(t + t n)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= 2*(0,1875 + 0,155)*(1*0,1875 - 1 *0,106 4) - 2*0,155*(1*0,1875 - 1*0,1064)*(1 - 0,855)= 0,0519 in 2
A2 = smaller of the following= 0,0904 in2
= 5*(tn - t rn)*fr2*t= 5*(0,155 - 0,0186)*0,855*0,1875= 0,1093 in 2
= 5*(tn - t rn)*fr2*tn= 5*(0,155 - 0,0186)*0,855*0,155= 0,0904 in 2
A41 = Leg 2*fr2
= 0,3752
*0,855= 0,1202 in2
Area = A 1 + A2 + A41= 0,5083 + 0,0904 + 0,1202= 0,7189 in2
As Area >= A the reinforcement is adequate.
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UW-16(c) Weld Check
Fillet weld: t min = lesser of 0,75 or t n or t = 0,155 intc(min) = lesser of 0,25 or 0,7*t min = 0,1085 intc(actual) = 0,7*Leg = 0.7*0,375 = 0,2625 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
ta UG-27 = P*R / (S*E - 0,6*P) + Corrosion= 100,1634*3,1575 / (17.100*1 - 0,6*100,1634) + 0,125= 0,1436 in
ta = max[ t a UG-27 , t a UG-22 ]
= max[ 0,1436 , 0 ]= 0,1436 in
tb1 = P*R / (S*E - 0,6*P) + Corrosion= 100,1634*21,1875 / (20.000*1 - 0,6*100,1634) + 0,125= 0,2314 in
tb1 = max[ t b1 , t b UG16 ]= max[ 0,2314 , 0,1875 ]= 0,2314 in
tb = min[ t b3 , t b1 ]= min[ 0,37 , 0,2314 ]= 0,2314 in
tUG-45 = max[ t a , t b ]= max[ 0,1436 , 0,2314 ]= 0,2314 in
Available nozzle wall thickness new, t n = 0,875*0,28 = 0,245 in
The nozzle neck thickness is adequate.
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SALIDA DE GAS (N2)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
tw(lower) = 0,255 inLeg 41 = 0,3125 intw(upper) = 0,3125 inLeg 42 = 0,25 in
Dp = 12,625 inte = 0,3125 in
Note: round inside edges per UG-76(c)
Location and OrientationLocated on: TOP HEADOrientation: 0End of nozzle to datum line: 168,5313 inCalculated as hillside: NoDistance to head center, R: 0 inPasses through a Category A joint: No
NozzleMaterial specification: SA-106 B Smls pipe (II-D p. 10, ln. 40)Description: NPS 8 Sch 40 (Std)
Inside diameter, new: 7,981 inNominal wall thickness: 0,322 inCorrosion allowance: 0,125 inProjection available outside vessel, Lpr: 2 inProjection available outside vessel to flange face, Lf: 6 inLocal vessel minimum thickness: 0,255 inLiquid static head included: 0 psiLongitudinal joint efficiency: 1
Reinforcing Pad
Material specification: SA-516 70 (II-D p. 18, ln. 19)Diameter: 12,625 inIs split: No
ASME B16.5-2009 FlangeDescription: NPS 8 Class 150 WN A105Bolt Material: SA-193 B7 Bolt
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Liquid static head: 0 psiMAWP rating: 272,5 psi @ 150FMAP rating: 285 psi @ 50FHydrotest rating: 450 psi @ 50FPWHT performed: NoCircumferential joint radiography: Spot UW-11(b) Type 1
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Reinforcement Calculations for Internal Pressure
UG-37 Area Calculation Summary (in 2)For P = 100 psi @ 150 F
The opening is adequately reinforced
UG-45 NozzleWall
ThicknessSummary (in)The nozzle passes
UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
0,7836 1,7048 0,2898 0,096 -- 1,25 0,069 0,2299 0,2818
UG-41 Weld Failure Path Analysis Summary (lb f)All failu re paths ar e st ronger than th e applicable w eld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
10.115,69 28.300 79.804,67 2.925,86 124.201,53 29.175,86 74.653,27
UW-16 Weld Sizin g Sum mary
Weld description Required weldsize (in)Actual weld
size (in) Status
Nozzle to pad fillet (Leg 41 ) 0,1379 0,2188 weld size is adequate
Pad to shell fillet (Leg 42 ) 0,065 0,175 weld size is adequate
Nozzle to pad groove (Upper) 0,1379 0,3125 weld size is adequate
Calculations for internal pressure 100 psi @ 150 F
Fig UCS-66.2 general note (1) applies.
Nozzle impact test exemption temperature from Fig UCS-66 Curve B = -20 F
Fig UCS-66.1 MDMT reduction = 27,3 F, (coincident ratio = 0,7273).Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 27,3 F, (coincident ratio = 0,7273).
Nozzle UCS-66 governing thk: 0,2818 inNozzle rated MDMT: -47,3 FPad UCS-66 governing thickness: 0,2818 inPad rated MDMT: -47,3 FParallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(8,231, 4,1155 + (0,322 - 0,125) + (0,255 - 0,125))= 8,231 in
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2,5*(t - C), 2,5*(t n - C n) + t e)= MIN(2,5*(0,255 - 0,125), 2,5*(0,322 - 0,125) + 0,3125)= 0,325 in
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Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0,6*P)= 100*4,1155 / (17.100*1 - 0,6*100)= 0,0242 in
Required thickness t r from UG-37(a)(c)
tr = P*K1*D / (2*S*E - 0,2*P)= 100*0,8947*42,25 / (2*20.000*1 - 0,2*100)= 0,0946 in
Area required per UG-37(c)
Allowable stresses: S n = 17.100, S v = 20.000, S p = 20.000 psi
fr1 = lesser of 1 or S n / S v = 0,855
fr2
= lesser of 1 or Sn / S
v = 0,855
fr3 = lesser of f r2 or S p / S v = 0,855
fr4 = lesser of 1 or S p / S v = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)= 8,231*0,0946*1 + 2*0,197*0,0946*1*(1 - 0,855)= 0,7836 in2
Area available from FIG. UG-37.1
A1 = larger of the following= 0,2898 in2
= d*(E 1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - f r1)= 8,231*(1*0,13 - 1*0,0946) - 2*0,197*(1*0,13 - 1*0,0946)*(1 - 0,855)= 0,2898 in 2
= 2*(t + t n)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= 2*(0,13 + 0,197)*(1*0,13 - 1*0,09 46) - 2*0,197*(1*0,13 - 1*0,0946)*(1 - 0,855)= 0,0212 in 2
A2 = smaller of the following= 0,096 in2
= 5*(tn - t rn)*fr2*t= 5*(0,197 - 0,0242)*0,855*0,13= 0,096 in 2
= 2*(tn - t rn)*(2,5*tn + t e )*fr2= 2*(0,197 - 0,0242)*(2,5*0,197 + 0,3125)*0,855
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= 0,2379 in 2
A41 = Leg 2*fr3= 0,0875 2*0,855= 0,0065 in2
(Part of the weld is outside of the limits)
A42 = Leg 2*fr4= 0,25 2*1= 0,0625 in2
A5 = (Dp - d - 2*t n)*te*fr4= (12,625 - 8,231 - 2*0,197)*0,3125*1= 1,25 in2
Area = A1 + A
2 + A
41 + A
42 + A
5= 0,2898 + 0,096 + 0,0065 + 0,0625 + 1,25= 1,7048 in2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: t min = lesser of 0,75 or t n or t e = 0,197 intc(min) = lesser of 0,25 or 0,7*t min = 0,1379 intc(actual) = 0,7*Leg = 0.7*0,3125 = 0,21 88 in
Outer fillet: t min = lesser of 0,75 or t e or t = 0,13 intw(min) = 0,5*t min = 0,065 intw(actual) = 0,7*Leg = 0.7*0,25 = 0,175 in
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-27 = P*R / (S*E - 0,6*P) + Corrosion= 100*4,1155 / (17.100*1 - 0,6*100) + 0,125= 0,1492 in
ta = max[ t a UG-27 , t a UG-22 ]= max[ 0,1492 , 0 ]= 0,1492 in
tb1 = 0,2299 in
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tb1 = max[ t b1 , t b UG16 ]= max[ 0,2299 , 0,1875 ]= 0,2299 in
tb = min[ t b3 , t b1 ]= min[ 0,4068 , 0,2299 ]= 0,2299 in
tUG-45 = max[ t a , t b ]= max[ 0,1492 , 0,2299 ]= 0,2299 in
Available nozzle wall thickness new, t n = 0,875*0,322 = 0,2818 in
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension: 0,74*20.000 = 14.800 psiNozzle wall in shear: 0,7*17.100 = 11.970 psiInner fil let weld in shear: 0,49*17.100 = 8.379 psiOuter fi llet weld in shear: 0,49*20.000 = 9.800 psiUpper groove weld in tension: 0,74*20.000 = 14.800 psiStrength of welded joints:
(1) Inner fillet weld in shear( / 2)*Nozzle OD*Leg*S i = ( / 2)*8,625*0,3125*8.379 = 35.474,9 lb f
(2) Outer fillet weld in shear( / 2)*Pad OD*Leg*S o = ( / 2)*12,625*0,25*9.800 = 48.586,69 lb f
(3) Nozzle wall in shear( / 2)*Mean nozzle dia*t n*Sn = ( / 2)*8,428*0,197*11.970 = 31.217,98 lb f
(4) Groove weld in tension( / 2)*Nozzle OD*t w*Sg = ( / 2)*8,625*0,13*14.800 = 26.066,58 lb f
(6) Upper groove weld in tension( / 2)*Nozzle OD*t w*Sg = ( / 2)*8,625*0,3125*14.800 = 62.660,05 lb f
Loading on welds per UG-41(b)(1)
W = (A - A 1 + 2*t n*fr1*(E1*t - F*tr))*Sv= (0,7836 - 0,2898 + 2*0,197*0,855*(1*0,13 - 1*0,0946))*20.000= 10.115,69 lbf
W1-1 = (A2 + A5 + A41 + A42 )*Sv= (0,096 + 1,25 + 0,0065 + 0,0625)*20.000= 28.300 lbf
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W2-2 = (A2 + A3 + A41 + A43 + 2*t n*t*fr1)*Sv= (0,096 + 0 + 0,0065 + 0 + 2*0,197*0,13*0,855)*20.000= 2.925,86 lbf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*t n*t*fr1)*Sv
= (0,096 + 0 + 1,25 + 0,0065 + 0,0625 + 0 + 2*0,197*0,13*0,855)*20.000= 29.175,86 lbf
Load for path 1-1 lesser of W or W 1-1 = 10.115,69 lb fPath 1-1 through (2) & (3) = 48.586,69 + 31.217,98 = 79.804,67 lbfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W 2-2 = 2.925,86 lb fPath 2-2 through (1), (4), (6) = 35.474,9 + 26.066,58 + 62.660,05 = 124.201,53 lbfPath 2-2 is stronger than W 2-2 so it is acceptable per UG-41(b)(1 ).
Load for path 3-3 lesser of W or W3-3
= 10.115,69 lbfPath 3-3 through (2), (4) = 48.586,69 + 26.066,58 = 74.653,27 lbf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
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ALIVIO (N3)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
tw(lower) = 0,3125 inLeg 41 = 0,375 in
Note: round inside edges per UG-76(c)
Location and OrientationLocated on: Cylinder #1Orientation: 180Nozzle center line offset to datum line: 130 inEnd of nozzle to shell center: 27,375 inPasses through a Category A joint: No
NozzleMaterial specification: SA-106 B Smls pipe (II-D p. 10, ln. 40)Description: NPS 3 Sch 80 (XS)Inside diameter, new: 2,9 in
Nominal wall thickness: 0,3 inCorrosion allowance: 0,125 inProjection available outside vessel, Lpr: 3,25 inProjection available outside vessel to flange face, Lf: 6 inLocal vessel minimum thickness: 0,3125 inLiquid static head included: 0 psiLongitudinal joint efficiency: 1
ASME B16.5-2009 FlangeDescription: NPS 3 Class 150 WN A105
Bolt Material: SA-193 B7 Bolt
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Reinforcement Calculations for Internal Pressure
UG-37 Area Calculation Summary(in 2)
For P = 100 psi @ 150 F
UG-45 NozzleWall
ThicknessSummary (in)The nozzle passes
UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 0,2313 0,2625
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizi ng Sum mary
Weld description Required weldthroat size (in)Actual weld
throat size (in) Status
Nozzle to shell fillet (Leg 41 ) 0,1225 0,2625 weld size is adequate
Calculations for internal pressure 100 psi @ 150 F
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -155 F per UCS-66(b)(3) (coincident ratio = 0,0672).
Nozzle UCS-66 governing thk: 0,2625 in
Nozzle rated MDMT: -155 FParallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(3,15, 1,575 + (0,3 - 0,125) + (0,3125 - 0,125))= 3,15 in
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2,5*(t - C), 2,5*(t n - C n) + t e)= MIN(2,5*(0,3125 - 0,125), 2,5*(0,3 - 0,125) + 0)= 0,4375 in
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0,6*P)= 100*1,575 / (17.100*1 - 0,6*100)= 0,0092 in
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Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0,6*P)= 100*21,1875 / (20.000*1 - 0,6*100)= 0,1063 in
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 0,75 or t n or t = 0,175 intc(min) = lesser of 0,25 or 0,7*t min = 0,1225 intc(actual) = 0,7*Leg = 0.7*0,375 = 0,2625 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
ta UG-27 = P*R / (S*E - 0,6*P) + Corrosion= 100*1,575 / (17.100*1 - 0,6*100) + 0,125= 0,1342 in
ta = max[ t a UG-27 , t a UG-22 ]= max[ 0,1342 , 0 ]= 0,1342 in
tb1
= P*R / (S*E - 0,6*P) + Corrosion= 100*21,1875 / (20.000*1 - 0,6*100) + 0,125= 0,2313 in
tb1 = max[ t b1 , t b UG16 ]= max[ 0,2313 , 0,1875 ]= 0,2313 in
tb = min[ t b3 , t b1 ]= min[ 0,314 , 0,2313 ]= 0,2313 in
tUG-45 = max[ t a , t b ]= max[ 0,1342 , 0,2313 ]= 0,2313 in
Available nozzle wall thickness new, t n = 0,875*0,3 = 0,2625 in
The nozzle neck thickness is adequate.
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PDIT (N4A)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda
tw(lower) = 0,3125 inLeg 41 = 0,375 in
Note: round inside edges per UG-76(c)
Location and OrientationLocated on: Cylinder #1Orientation: 140Nozzle center line offset to datum line: 147 inEnd of nozzle to shell center: 27,375 inPasses through a Category A joint: No
NozzleMaterial specification: SA-106 B Smls pipe (II-D p. 10, ln. 40)Description: NPS 2 Sch 160Inside diameter, new: 1,687 in
Nominal wall thickness: 0,344 inCorrosion allowance: 0,125 inProjection available outside vessel, Lpr: 3,5 inProjection available outside vessel to flange face, Lf: 6 inLocal vessel minimum thickness: 0,3125 inLiquid static head included: 0 psiLongitudinal joint efficiency: 1
ASME B16.5-2009 FlangeDescription: NPS 2 Class 150 WN A105
Bolt Material: SA-193 B7 Bolt
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Reinforcement Calculations for Internal Pressure
UG-37 Area Calculation Summary(in 2)
For P = 100 psi @ 150 F
UG-45 NozzleWall
ThicknessSummary (in)The nozzle passes
UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 0,2313 0,301
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizi ng Sum mary
Weld description Required weldthroat size (in)Actual weld
throat size (in) Status
Nozzle to shell fillet (Leg 41 ) 0,1312 0,2625 weld size is adequate
Calculations for internal pressure 100 psi @ 150 F
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -155 F per UCS-66(b)(3) (coincident ratio = 0,0323).
Nozzle UCS-66 governing thk: 0,301 in
Nozzle rated MDMT: -155 FParallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(1,937, 0,9685 + (0,344 - 0,125) + (0,3125 - 0,125))= 1,937 in
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2,5*(t - C), 2,5*(t n - C n) + t e)= MIN(2,5*(0,3125 - 0,125), 2,5*(0,344 - 0,125) + 0)= 0,4688 in
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0,6*P)= 100*0,9685 / (17.100*1 - 0,6*100)= 0,0057 in
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Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0,6*P)= 100*21,1875 / (20.000*1 - 0,6*100)= 0,1063 in
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 0,75 or t n or t = 0,1875 intc(min) = lesser of 0,25 or 0,7*t min = 0,1312 intc(actual) = 0,7*Leg = 0.7*0,375 = 0,2625 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
ta UG-27 = P*R / (S*E - 0,6*P) + Corrosion= 100*0,9685 / (17.100*1 - 0,6*100) + 0,125= 0,1307 in
ta = max[ t a UG-27 , t a UG-22 ]= max[ 0,1307 , 0 ]= 0,1307 in
tb1
= P*R / (S*E - 0,6*P) + Corrosion= 100*21,1875 / (20.000*1 - 0,6*100) + 0,125= 0,2313 in
tb1