memoria de calculo recipiente a presion
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CFE AGUA PRIETA SENER
Agua Prieta Sonora Mexico
MEMORIA DE CALCULO PARA TANQUE DE 36" DIAMETRO
Item: TANQUE LECHOS MIXTOS 36"Vessel No: LM-AGT-06
Customer: CFE SENER
Contract: XXXXX
Designer: Armando Iracheta Puente
Date: junio 2012
TANQUE AZ001 LECHOS MIXTOS
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Deficiencies Summary
Deficiencies for AIRE (B5)Physical interference between nozzles B5 and R1 (pad) detected.
Deficiencies for REGISTRO HOMBRE (R1)Physical interference between nozzles R1 (pad) and B5 detected.
Deficiencies for REGISTRO HOMBRE (R3)
Physical interference between nozzles R3 (pad) and B6 detected.
Deficiencies for SALIDA DE PRODUCTO (B6)Physical interference between nozzles B6 and R3 (pad) detected.
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Nozzle Schedule
Nozzle
markService Size
Materials
Nozzle Impact NormFineGrain
Pad Impact NormFineGrain
Flange
B1 ALIMENTACIONNPS 2 Sch 40
(Std)
SA-106 B Smls
pipeNo No No N/A N/A N/A N/A
WNA105
Class150
B2 SOSANPS 2 Sch 40
(Std)
SA-106 B Smls
pipeNo No No N/A N/A N/A N/A
WNA105
Class150
B3 ACIDONPS 2 Sch 40(Std)
SA-106 B Smlspipe
No No No N/A N/A N/A N/A
WN
A105Class150
B4 INTERMEDIONPS 2.5 Sch 40(Std)
SA-106 B Smlspipe
No No No N/A N/A N/A N/A
WN
A105Class
150
B5 AIRENPS 2 Sch 40(Std)
SA-106 B Smlspipe
No No No N/A N/A N/A N/A
WN
A105Class
150
B6SALIDA DE
PRODUCTO
NPS 2 Sch 40
(Std)
SA-106 B Smls
pipeNo No No N/A N/A N/A N/A
WNA105
Class150
B7 RESINAS 3.00 IDx2.25 SA-105 No No No N/A N/A N/A N/A N/A
M1 MIRILLASUPERIOR 3.00 IDx2.25 SA-105 No No No N/A N/A N/A N/A N/A
M2 MIRILLA INFERIOR 3.00 IDx2.25 SA-105 No No No N/A N/A N/A N/A N/A
MIRILLAINFERIOR
Nozzle #15 3.00 IDx2.25 SA-105 No No No N/A N/A N/A N/A N/A
R1 REGISTRO HOMBRENPS 24 Sch 20(Std)
SA-53 E/B Wldpipe
No No NoSA-285C
No No No
SO
A105Class150
R2 REGISTRO HOMBRENPS 20 Sch 20(Std)
SA-53 E/B Wldpipe
No No NoSA-285C
No No No
SO
A105Class
150
R3 REGISTRO HOMBRENPS 20 Sch 20(Std)
SA-53 E/B Wldpipe
No No NoSA-285C
No No No
SOA105Class
150
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Nozzle Summary
Nozzle
mark
OD
(in)
tn
(in)
Req tn
(in)A1? A2?
ShellReinforcement
Pad Corr
(in)
Aa/A
r(%)
Nom t
(in)
Design t
(in)
User t
(in)
Width
(in)
tpad(in)
B1 2.375 0.154 0.154 Yes Yes 0.235 N/A N/A N/A 0 Exempt
B2 2.375 0.154 0.154 Yes Yes 0.235 N/A 0.375 N/A N/A 0 Exempt
B3 2.375 0.154 0.154 Yes Yes 0.235 N/A 0.375 N/A N/A 0 Exempt
B4 2.875 0.203 0.203 Yes Yes 0.235 N/A 0.375 N/A N/A 0 Exempt
B5 2.375 0.154 0.154 No Yes 0.235* N/A N/A N/A 0 Exempt
B6 2.375 0.154 0.154 Yes Yes 0.235* 0.1517 N/A N/A 0 100.0
B7 7.5 2.25 0.235 Yes Yes 0.235 0.0915 N/A N/A 0 176.6
M1 7.5 2.25 0.235 Yes Yes 0.235 0.0915 N/A N/A 0 176.6
M2 7.5 2.25 0.235 Yes Yes 0.235 0.0915 N/A N/A 0 176.6
MIRILLA INFERIOR 7.5 2.25 0.235 Yes Yes 0.235 0.0915 N/A N/A 0 176.6
R1 24 0.375 0.2423 Yes Yes 0.235* 0.212 4 0.5 0 100.0
R2 20 0.375 0.1153 Yes Yes 0.235 0.1737 1.5 0.625 0 100.0
R3 20 0.375 0.2643 Yes Yes 0.235* 0.2313 4 0.5 0 100.0
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
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Pressure Summary
Pressure Summary for Chamber bounded by F&D Head #2 and F&D Head #1
Identifier
P
Design
( psi)
T
Design
( F)
MAWP
( psi)
MAP
( psi)
MDMT
( F)
MDMT
Exemption
Impact
Tested
F&D Head #1 80 100 149.3 149.3 -55 Note 1 No
Straight Flange on F&D Head #1 80 100 186.38 186.38 -55 Note 2 No
Cylinder #1 80 150 175.14 175.14 -55 Note 3 No
Cylinder #2 80 100 175.14 175.14 -55 Note 3 No
Straight Flange on F&D Head #2 80 100 186.31 186.38 -55 Note 5 No
F&D Head #2 80 100 148.94 149.3 -55 Note 4 No
Legs #1 80 100 80 N/A N/A N/A N/A
ALIMENTACION (B1) 80 150 206.05 206.05 -55 Note 6 No
SOSA (B2) 80 100 285 285 -55 Note 6 No
ACIDO (B3) 80 100 285 285 -55 Note 6 No
INTERMEDIO (B4) 80 100 285 285 -55 Note 6 No
AIRE (B5) 80 100 255.79 255.79 -55 Note 6 No
SALIDA DE PRODUCTO (B6) 80 100 163.88 164.74 -55 Note 7 No
RESINAS (B7) 80 100 206.05 206.05 -55Nozzle N/A No
Pad Note 8 No
MIRILLA SUPERIOR (M1) 80 100 206.05 206.05 -55Nozzle N/A No
Pad Note 8 No
MIRILLA INFERIOR (M2) 80 100 206.05 206.05 -55Nozzle N/A No
Pad Note 8 No
Nozzle #15 (MIRILLA INFERIOR) 80 100 206.05 206.05 -55Nozzle N/A No
Pad Note 8 No
REGISTRO HOMBRE (R1) 80 100 158.36 158.36 -55Nozzle Note 9 No
Pad Note 10 No
REGISTRO HOMBRE (R2) 80 100 152.09 152.09 -55Nozzle Note 11 No
Pad Note 12 No
REGISTRO HOMBRE (R3) 80 100 172.21 172.83 -53.9Nozzle Note 13 No
Pad Note 14 No
Chamber design MDMT is -20 FChamber rated MDMT is -53.9 F @ 80 psi
Chamber MAWP hot & corroded is 80 psi @ 100 F
Chamber MAP cold & new is 149.3 psi @ 70 F
This pressure chamber is not designed for external pressure.
Notes for MDMT Rating:
Note # Exemption Details
1. Straight Flangegoverns MDMT
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2.
Material impact test exemption temperature from Fig UCS-66 Curve A = 18 F
Fig UCS-66.1 MDMT reduction = 125.9 F, (coincident ratio = 0.3660014)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.235 in
3.
Material impact test exemption temperature from Fig UCS-66 Curve A = 18 F
Fig UCS-66.1 MDMT reduction = 110.3 F, (coincident ratio = 0.3893631)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.235 in
4. Straight Flangegoverns MDMT
5.Material impact test exemption temperature from Fig UCS-66 Curve A = 18 FFig UCS-66.1 MDMT reduction = 125.7 F, (coincident ratio = 0.3663309)
Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.235 in
6.Flange rating governs:Flange rated MDMT = -155 F
Bolts rated MDMT per Fig UCS-66 note (c) = -55 F
UCS-66(b)(3): Coincident ratio = 0.2807018
7.Flange rating governs:Flange rated MDMT = -155 FBolts rated MDMT per Fig UCS-66 note (c) = -55 F
UCS-66(b)(3): Coincident ratio = 0.2837414
8.
Pad impact test exemption temperature from Fig UCS-66 Curve B = -20 F
Fig UCS-66.1 MDMT reduction = 110.2 F, (coincident ratio = 0.38949)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.235 in.
9.
Nozzle impact test exemption temperature from Fig UCS-66 Curve B = -20 F
Fig UCS-66.1 MDMT reduction = 73.6 F, (coincident ratio = 0.45719)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.3281 in.
10.Pad impact test exemption temperature from Fig UCS-66 Curve A = 18 FFig UCS-66.1 MDMT reduction = 73.6 F, (coincident ratio = 0.45719)
Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.3281 in.
11.Nozzle impact test exemption temperature from Fig UCS-66 Curve B = -20 FFig UCS-66.1 MDMT reduction = 110.2 F, (coincident ratio = 0.38949)
Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.3281 in.
12.Pad impact test exemption temperature from Fig UCS-66 Curve A = 18 FFig UCS-66.1 MDMT reduction = 110.2 F, (coincident ratio = 0.38949)
Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.3281 in.
13.
Nozzle impact test exemption temperature from Fig UCS-66 Curve B = -20 F
Fig UCS-66.1 MDMT reduction = 71.9 F, (coincident ratio = 0.46072)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.3281 in.
14.Pad impact test exemption temperature from Fig UCS-66 Curve A = 18 F
Fig UCS-66.1 MDMT reduction = 71.9 F, (coincident ratio = 0.46072)UCS-66 governing thickness = 0.3281 in.
Design notes are available on the Settings Summarypage.
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Revision History
No. Date Operator Notes
0 6/ 1/2012 DIBUJO-7 New vessel created ASME Section VIII Division 1 [COMPRESS Build 7110]
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Settings Summary
COMPRESS Build 7110
Units: U.S. Customary
Datum Line Location: 0.00" from bottom seam
Design
ASME Section VIII Division 1, 2010 Edition
Design or Rating: Get Thickness from Pressure
Minimum thickness: 0.0625" per UG-16(b)
Design for cold shut down only: No
Design for lethal service (full radiography required): No
Design nozzles for: Design P, find nozzle MAWP and MAP
Corrosion weight loss: 100% of theoretical loss
UG-23 Stress Increase: 1.20
Skirt/legs stress increase: 1.0
Minimum nozzle projection: 6"
Juncture calculations for > 30 only: Yes
Preheat P-No 1 Materials > 1.25" and
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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): Yes
UG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: Yes
UG-22(f) Wind reactions: Yes
UG-22(f) Seismic reactions: Yes
UG-22(j) Test pressure and coincident static head acting during the test: Yes
Note: UG-22(b),(c) and (f) loads only considered when supports are present.
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Thickness Summary
Component
IdentifierMaterial Diameter
(in)
Length
(in)
Nominal t
(in)
Design t
(in)
Total Corrosion
(in)
Joint
ELoad
F&D Head #1 SA-285 C 36 OD 8.1929 0.235* 0.1264 0 0.85 Internal
Straight Flange on F&D Head #1 SA-285 C 36 OD 2 0.25 0.1077 0 0.85 Internal
Cylinder #1 SA-285 C 36 OD 47.375 0.235 0.1077 0 0.85 Internal
Cylinder #2 SA-285 C 36 OD 72 0.235 0.1077 0 0.85 Internal
Straight Flange on F&D Head #2 SA-285 C 36 OD 2 0.25 0.1078 0 0.85 Internal
F&D Head #2 SA-285 C 36 OD 8.1929 0.235* 0.1269 0 0.85 Internal
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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Weight Summary
Component
Weight ( lb) Contributed by Vessel Elements SurfaceAreaft2Metal
New*
Metal
Corroded*Insulation &
SupportsLining
Piping+ Liquid
OperatingLiquid
TestLiquid
F&D Head #1 72.1 72.1 0 0 0 0 329.7 8
Cylinder #1 353.7 353.7 0 0 0 0 1,695.9 37
Cylinder #2 504.4 504.4 0 0 0 0 2,642.5 53
F&D Head #2 81.3 81.3 0 0 0 321 320.9 9
Legs #1 455.3 455.3 0 0 0 0 0 36
TOTAL: 1,466.8 1,466.8 0 0 0 321 4,989 143
* Shells with attached nozzles have weight reduced by material cut out for opening.
Component
Weight ( lb) Contributed by AttachmentsSurface Area
ft2Body FlangesNozzles &Flanges
PackedBeds
Ladders&Platforms
Trays &Supports
Rings &Clips
VerticalLoads
New Corroded New Corroded
F&D Head #1 0 0 822.6 822.6 0 0 0 0 0 13
Cylinder #1 0 0 7.5 7.5 0 0 0 52.4 0 4
Cylinder #2 0 0 657.4 657.4 0 0 0 20.7 0 14
F&D Head #2 0 0 595.6 595.6 0 0 0 0 0 11
Legs #1 0 0 0 0 0 0 0 0 0 0
TOTAL: 0 0 2,083 2,083 0 0 0 73.1 0 42
Vessel operating weight, Corroded: 3,944 lb
Vessel operating weight, New: 3,944 lb
Vessel empty weight, Corroded: 3,623 lb
Vessel empty weight, New: 3,623 lb
Vessel test weight, New: 8,612 lb
Vessel surface area: 186 ft2
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 3,623 lb
Center of Gravity: 51.2442"
Vessel Capacity
Vessel Capacity** (New): 572 US gal
Vessel Capacity** (Corroded): 572 US gal
**The vessel capacity does not include volume of nozzle, piping or other attachments.
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Long Seam Summary
Shell Long SeamAngles
Component Seam 1
Cylinder #1 15
Cylinder #2 45
Shell Plate Lengths
ComponentStartingAngle
Plate 1
Cylinder #1 15 112.3591"
Cylinder #2 45 112.3591"
*North is located at 180*Plate Lengths use the circumfrence of the vessel based on the mid diameter of the components
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Shell Rollout
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Hydrostatic Test
Shop test pressure determination for Chamber bounded by F&D Head #2 and F&D Head #1 based on MAWPper UG-99(b)
Shop hydrostatic test gauge pressure is 104 psi at 70 F (the chamber MAWP = 80 psi)
The shop test is performed with the vessel in the vertical position.
IdentifierLocal testpressure
psi
Test liquidstatic head
psi
UG-99stressratio
UG-99pressure
factor
Stressduring test
psi
Allowabletest stress
psi
Stressexcessive?
F&D Head #1 (1) 104.83 0.83 1 1.30 6,424 27,000 No
Straight Flange on F&D Head #1 104.83 0.83 1 1.30 7,495 27,000 No
Cylinder #1 106.54 2.54 1 1.30 8,107 27,000 No
Cylinder #2 109.139 5.139 1 1.30 8,305 27,000 No
Straight Flange on F&D Head #2 109.212 5.212 1 1.30 7,809 27,000 No
F&D Head #2 109.499 5.499 1 1.30 6,710 27,000 No
ACIDO (B3) 108.96 4.96 1 1.30 7,277 40,500 No
AIRE (B5) 104.514 0.514 1 1.30 7,292 40,500 No
ALIMENTACION (B1) 105.295 1.295 1 1.30 9,186 40,500 No
INTERMEDIO (B4) 108.189 4.189 1 1.30 7,016 40,500 No
MIRILLA INFERIOR (M2) 107.569 3.569 1 1.30 1,341 40,500 No
MIRILLA SUPERIOR (M1) 107.389 3.389 1 1.30 1,339 40,500 No
Nozzle #15 (MIRILLA INFERIOR) 108.454 4.454 1 1.30 1,352 40,500 No
REGISTRO HOMBRE (R1) 104.462 0.462 1 1.30 7,244 40,500 No
REGISTRO HOMBRE (R2) 108.065 4.065 1 1.30 12,239 40,500 No
REGISTRO HOMBRE (R3) 109.763 5.763 1 1.30 5,988 40,500 No
RESINAS (B7) 108.941 4.941 1 1.30 1,358 40,500 No
SALIDA DE PRODUCTO (B6) 110.006 6.006 1 1.30 9,460 40,500 No
SOSA (B2) 107.011 3.011 1 1.30 7,147 40,500 No
Notes:
(1) F&D Head #1 limits the UG-99 stress ratio.(2) PLstresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages 77-82.
(3) 1.5*0.9*Syused as the basis for the maximum local primary membrane stress at the nozzle intersection PL.
The field test condition has not been investigated for the Chamber bounded by F&D Head #2 and F&D Head #1.
The test temperature of 70 F is warmer than the minimum recommended temperature of -23.9 F so the brittlefracture provision of UG-99(h) has been met.
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Cylinder #1
ASME Section VIII Division 1, 2010 Edition
Component: Cylinder
Material specification: SA-285 C (II-D p. 6, ln. 42)Material impact test exemption temperature from Fig UCS-66 Curve A = 18 F
Fig UCS-66.1 MDMT reduction = 110.3 F, (coincident ratio = 0.3893631)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.235 in
Internal design pressure: P = 80 psi @ 150 F
Static liquid head:
Ps = 0 psi (SG = 1, Hs= 0",Operating
head)
Ptv = 2.54 psi (SG = 1, Hs= 70.375",Vertical test head)
Corrosion allowance Inner C = 0" Outer C = 0"
Design MDMT = -20 F No impact test performedRated MDMT = -55 F Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Radiography: Longitudinal joint - Spot UW-11(b) Type 1
Top circumferential joint - Spot UW-11(b) Type 1Bottom circumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 353.7 lb corr = 353.7 lb
Capacity New = 203.34 US gal corr = 203.34 US gal
OD = 36"Length
Lc= 47.375"
t = 0.235"
Design thickness, (at 150 F) Appendix 1-1
t = P*Ro/ (S*E + 0.40*P) + Corrosion= 80*18 / (15,700*0.85 + 0.40*80) + 0
= 0.1077"
Maximum allowable working pressure, (at 150 F) Appendix 1-1
P = S*E*t / (Ro- 0.40*t) - Ps= 15,700*0.85*0.235 / (18 - 0.40*0.235) - 0= 175.14 psi
Maximum allowable pressure, (at 70 F) Appendix 1-1
P = S*E*t / (Ro- 0.40*t)= 15,700*0.85*0.235 / (18 - 0.40*0.235)
= 175.14 psi
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% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf/ Ro)
= (50*0.235 / 17.8825)*(1 - 17.8825 / )
= 0.6571%
The extreme fiber elongation does not exceed 5%.
Design thickness = 0.1077"
The governing condition is due to internal pressure.
The cylinder thickness of 0.235" is adequate.
Thickness Required Due to Pressure + External Loads
ConditionPressure P (
psi)
Allowable StressBefore UG-23
Stress Increase (psi)
Temperature (F)
Corrosion C(in)
LoadReq'd Thk Due to
Tension (in)
Req'd Thk Dueto
Compression(in)
St Sc
Operating, Hot & Corroded 80 15,700 14,152 150 0 Wind 0.0441 0.0433
Seismic 0.0448 0.0422
Operating, Hot & New 80 15,700 14,152 150 0Wind 0.0441 0.0433
Seismic 0.0448 0.0422
Hot Shut Down, Corroded 0 15,700 14,152 150 0Wind 0.0002 0.0009
Seismic 0.0005 0.002
Hot Shut Down, New 0 15,700 14,152 150 0Wind 0.0002 0.0009
Seismic 0.0005 0.002
Empty, Corroded 0 15,700 14,152 70 0Wind 0.0002 0.0009
Seismic 0.0005 0.0019
Empty, New 0 15,700 14,152 70 0Wind 0.0002 0.0009
Seismic 0.0005 0.0019
Hot Shut Down, Corroded, Weight
& Eccentric Moments Only0 15,700 14,152 150 0 Weight 0.0008 0.0008
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.235)
= 0.001632
B = 14,152 psi
S = 15,700 / 1.00 = 15,700 psi
ScHC = min(B, S) = 14,152 psi
Allowable Compressive Stress, Hot and New- ScHNScHN = ScHC
= 14,152 psi
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Allowable Compressive Stress, Cold and New- ScCN, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.235)
= 0.001632
B = 14,152 psi
S = 15,700 / 1.00 = 15,700 psi
ScCN = min(B, S) = 14,152 psi
Allowable Compressive Stress, Cold and Corroded- ScCCScCC = ScCN
= 14,152 psi
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.235)
= 0.001632
B = 14,152 psi
S = 15,700 / 1.00 = 15,700 psi
ScVC = min(B, S) = 14,152 psi
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 4,061 / (*17.88252*15,700*1.20*0.85)
= 0.0003"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0.0443 + 0.0003 - (0.0004)
= 0.0441"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= 1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0007"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0003 + (0.0007) - (0.0443)|
= 0.0433"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.235 - 0.0003 + (0.0004)) / (17.765 - 0.40*(0.235 - 0.0003 + (0.0004)))
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= 426.26 psi
Operating, Hot & New, Wind, Bottom Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 4,061 / (*17.88252*15,700*1.20*0.85)
= 0.0003"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0.0443 + 0.0003 - (0.0004)
= 0.0441"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= 1,308.3 / (2**17.8825*15,700*1.20*0.85)= 0.0007"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0003 + (0.0007) - (0.0443)|
= 0.0433"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.235 - 0.0003 + (0.0004)) / (17.765 - 0.40*(0.235 - 0.0003 + (0.0004)))
= 426.26 psi
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 4,061 / (*17.88252*14,151.54*1.20)
= 0.0002"
tw = 0.6*W / (2**Rm*Sc*Ks) (Weight)
= 0.60*1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0004"
tt = |tp+ tm- tw| (total, net compressive)= |0 + 0.0002 - (0.0004)|
= 0.0002"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0007"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0002 + (0.0007) - (0)
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= 0.0009"
Hot Shut Down, New, Wind, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 4,061 / (*17.88252*14,151.54*1.20)
= 0.0002"
tw = 0.6*W / (2**Rm*Sc*Ks) (Weight)
= 0.60*1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0004"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0.0002 - (0.0004)|
= 0.0002"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0007"
tc = tmc+ twc- tpc (total required, compressive)= 0.0002 + (0.0007) - (0)
= 0.0009"
Empty, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 4,061 / (*17.88252*14,151.54*1.20)
= 0.0002"
tw = 0.6*W / (2**Rm*Sc*Ks) (Weight)
= 0.60*1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0004"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0.0002 - (0.0004)|
= 0.0002"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0007"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0002 + (0.0007) - (0)= 0.0009"
Empty, New, Wind, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 4,061 / (*17.88252*14,151.54*1.20)
= 0.0002"
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tw = 0.6*W / (2**Rm*Sc*Ks) (Weight)
= 0.60*1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0004"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0.0002 - (0.0004)|
= 0.0002"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0007"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0002 + (0.0007) - (0)
= 0.0009"
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 199 / (*17.88252
*14,151.54*1.00)= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)
= 1,308.3 / (2**17.8825*14,151.54*1.00)
= 0.0008"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0 - (0.0008)|
= 0.0008"
tc = tmc+ twc- tpc (total required, compressive)
= 0 + (0.0008) - (0)
= 0.0008"
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 19,659 / (*17.88252*15,700*1.20*0.85)
= 0.0012"
tw = W / (2**Rm*St*Ks*Ec) (Weight)= 1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0.0443 + 0.0012 - (0.0007)
= 0.0448"
twc = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*1,308.3 / (2**17.8825*15,700*1.20*0.85)
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= 0.0009"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0012 + (0.0009) - (0.0443)|
= 0.0422"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.235 - 0.0012 + (0.0007)) / (17.765 - 0.40*(0.235 - 0.0012 + (0.0007)))
= 425.03 psi
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 19,659 / (*17.88252*15,700*1.20*0.85)
= 0.0012"tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0.0443 + 0.0012 - (0.0007)
= 0.0448"
twc = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0009"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0012 + (0.0009) - (0.0443)|
= 0.0422"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.235 - 0.0012 + (0.0007)) / (17.765 - 0.40*(0.235 - 0.0012 + (0.0007)))
= 425.03 psi
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 19,659 / (*17.88252*15,700*1.20*0.85)
= 0.0012"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0007"
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tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0012 - (0.0007)
= 0.0005"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 19,659 / (*17.88252*14,151.54*1.20)
= 0.0012"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0008"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0012 + (0.0008) - (0)
= 0.002"
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 19,659 / (*17.88252
*15,700*1.20*0.85)= 0.0012"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0012 - (0.0007)
= 0.0005"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 19,659 / (*17.88252*14,151.54*1.20)
= 0.0012"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0008"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0012 + (0.0008) - (0)
= 0.002"
Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / (*Rm
2*St*Ks*Ec) (bending)
= 18,967 / (*17.88252*15,700*1.20*0.85)
= 0.0012"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
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= 0 + 0.0012 - (0.0007)
= 0.0005"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 18,967 / (*17.88252*14,151.54*1.20)
= 0.0011"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0008"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0011 + (0.0008) - (0)
= 0.0019"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 18,967 / (*17.88252*15,700*1.20*0.85)
= 0.0012"tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 1,308.3 / (2**17.8825*15,700*1.20*0.85)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0012 - (0.0007)
= 0.0005"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 18,967 / (*17.88252*14,151.54*1.20)
= 0.0011"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*1,308.3 / (2**17.8825*14,151.54*1.20)
= 0.0008"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0011 + (0.0008) - (0)
= 0.0019"
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Cylinder #2
ASME Section VIII Division 1, 2010 Edition
Component: Cylinder
Material specification: SA-285 C (II-D p. 6, ln. 42)Material impact test exemption temperature from Fig UCS-66 Curve A = 18 F
Fig UCS-66.1 MDMT reduction = 110.3 F, (coincident ratio = 0.3893631)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.235 in
Internal design pressure: P = 80 psi @ 100 F
Static liquid head:
Ps = 0 psi (SG = 1, Hs= 0",Operating head)
Ptv = 5.14 psi (SG = 1, Hs= 142.375", Vertical testhead)
Corrosion allowance Inner C = 0" Outer C = 0"
Design MDMT = -20 F No impact test performed
Rated MDMT = -55 F Material is not normalizedMaterial is not produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Spot UW-11(b) Type 1Top circumferential joint - Spot UW-11(b) Type 1
Bottom circumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 504.4 lb corr = 504.4 lb
Capacity New = 309.03 US gal corr = 309.03 US gal
OD = 36"
LengthLc
= 72"
t = 0.235"
Design thickness, (at 100 F) Appendix 1-1
t = P*Ro/ (S*E + 0.40*P) + Corrosion
= 80*18 / (15,700*0.85 + 0.40*80) + 0= 0.1077"
Maximum allowable working pressure, (at 100 F) Appendix 1-1
P = S*E*t / (Ro- 0.40*t) - Ps= 15,700*0.85*0.235 / (18 - 0.40*0.235) - 0= 175.14 psi
Maximum allowable pressure, (at 70 F) Appendix 1-1
P = S*E*t / (Ro- 0.40*t)
= 15,700*0.85*0.235 / (18 - 0.40*0.235)= 175.14 psi
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% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf/ Ro)
= (50*0.235 / 17.8825)*(1 - 17.8825 / )
= 0.6571%
The extreme fiber elongation does not exceed 5%.
Design thickness = 0.1077"
The governing condition is due to internal pressure.
The cylinder thickness of 0.235" is adequate.
Thickness Required Due to Pressure + External Loads
ConditionPressure P
( psi)
AllowableStress BeforeUG-23 StressIncrease ( psi)
Temperature (F)
Corrosion C(in)
Location LoadReq'd Thk Dueto Tension (in)
Req'd Thk Due toCompression (in)
St Sc
Operating, Hot & Corroded 80 15,700 14,152 100 0Top Wind 0.0387 0.0348
Seismic 0.0401 0.0327
BottomWind 0.0381 0.0379
Seismic 0.0383 0.0381
Operating, Hot & New 80 15,700 14,152 100 0Top
Wind 0.0387 0.0348
Seismic 0.0401 0.0327
BottomWind 0.0381 0.0379
Seismic 0.0383 0.0381
Hot Shut Down, Corroded 0 15,700 14,152 100 0Top
Wind 0.001 0.0032
Seismic 0.0024 0.0056
BottomWind 0.0004 0.0003
Seismic 0.0006 0.0004
Hot Shut Down, New 0 15,700 14,152 100 0Top
Wind 0.001 0.0032
Seismic 0.0024 0.0056
BottomWind 0.0004 0.0003
Seismic 0.0006 0.0004
Empty, Corroded 0 15,700 14,152 70 0Top
Wind 0.001 0.0032
Seismic 0.0023 0.0054
BottomWind 0.0003 0.0002
Seismic 0.0004 0.0003
Empty, New 0 15,700 14,152 70 0Top
Wind 0.001 0.0032
Seismic 0.0023 0.0054
BottomWind 0.0003 0.0002
Seismic 0.0004 0.0003
Hot Shut Down, Corroded,Weight & Eccentric Moments
Only0 15,700 14,152 100 0
Top Weight 0.0006 0.0025
Bottom Weight 0.0005 0.0005
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Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.235)
= 0.001632
B = 14,152 psi
S = 15,700 / 1.00 = 15,700 psi
ScHC = min(B, S) = 14,152 psi
Allowable Compressive Stress, Hot and New- ScHNScHN = ScHC
= 14,152 psi
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.235)
= 0.001632
B = 14,152 psi
S = 15,700 / 1.00 = 15,700 psi
ScCN = min(B, S) = 14,152 psi
Allowable Compressive Stress, Cold and Corroded- ScCCScCC = ScCN
= 14,152 psi
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.235)
= 0.001632
B = 14,152 psi
S = 15,700 / 1.00 = 15,700 psi
ScVC = min(B, S) = 14,152 psi
Operating, Hot & Corroded, Wind, Above Support Point
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*1.00 + 0.40*|80|)
= 0.0377"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 33,085 / (*17.88252*15,700*1.20*1.00)
= 0.0017"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
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= 0.0377 + 0.0017 - (0.0007)
= 0.0387"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= 2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0012"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0017 + (0.0012) - (0.0377)|
= 0.0348"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*1.00*(0.235 - 0.0017 + (0.0007)) / (17.765 - 0.40*(0.235 - 0.0017 + (0.0007)))
= 498.85 psi
Operating, Hot & New, Wind, Above Support Point
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*1.00 + 0.40*|80|)= 0.0377"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 33,085 / (*17.88252*15,700*1.20*1.00)
= 0.0017"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0.0377 + 0.0017 - (0.0007)
= 0.0387"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= 2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0012"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0017 + (0.0012) - (0.0377)|
= 0.0348"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))= 2*15,700*1.20*1.00*(0.235 - 0.0017 + (0.0007)) / (17.765 - 0.40*(0.235 - 0.0017 + (0.0007)))
= 498.85 psi
Hot Shut Down, Corroded, Wind, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 33,085 / (*17.88252*15,700*1.20*1.00)
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= 0.0017"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0017 - (0.0007)
= 0.001"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 33,085 / (*17.88252*14,151.54*1.20)
= 0.0019"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 2,483.2 / (2**17.8825*14,151.54*1.20)
= 0.0013"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0019 + (0.0013) - (0)
= 0.0032"
Hot Shut Down, New, Wind, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 33,085 / (*17.88252*15,700*1.20*1.00)
= 0.0017"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0017 - (0.0007)
= 0.001"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 33,085 / (*17.88252*14,151.54*1.20)
= 0.0019"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 2,483.2 / (2**17.8825*14,151.54*1.20)
= 0.0013"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0019 + (0.0013) - (0)= 0.0032"
Empty, Corroded, Wind, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 33,085 / (*17.88252*15,700*1.20*1.00)
= 0.0017"
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tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0017 - (0.0007)
= 0.001"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 33,085 / (*17.88252*14,151.54*1.20)
= 0.0019"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 2,483.2 / (2**17.8825*14,151.54*1.20)
= 0.0013"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0019 + (0.0013) - (0)
= 0.0032"
Empty, New, Wind, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 33,085 / (*17.88252*15,700*1.20*1.00)
= 0.0017"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0007"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0017 - (0.0007)
= 0.001"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 33,085 / (*17.88252*14,151.54*1.20)
= 0.0019"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 2,483.2 / (2**17.8825*14,151.54*1.20)
= 0.0013"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0019 + (0.0013) - (0)
= 0.0032"
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 13,062 / (*17.88252*14,151.54*1.00)
= 0.0009"
tw = W / (2**Rm*Sc*Ks) (Weight)
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= 2,483.2 / (2**17.8825*14,151.54*1.00)
= 0.0016"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0.0009 - (0.0016)|
= 0.0006"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0009+ (0.0016) - (0)
= 0.0025"
Operating, Hot & Corroded, Wind, Below Support Point
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*1.00 + 0.40*|80|)
= 0.0377"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.88252*15,700*1.20*1.00)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)= -933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0.0377 + 0 - (-0.0004)
= 0.0381"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0003"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0003) - (0.0377)|
= 0.0379"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*1.00*(0.235 - 0 + (-0.0004)) / (17.765 - 0.40*(0.235 - 0 + (-0.0004)))
= 500.14 psi
Operating, Hot & New, Wind, Below Support Point
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)= 80*17.765 / (2*15,700*1.20*1.00 + 0.40*|80|)
= 0.0377"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.88252*15,700*1.20*1.00)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -933.4 / (2**17.8825*15,700*1.20*1.00)
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= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0.0377 + 0 - (-0.0004)
= 0.0381"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0003"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0003) - (0.0377)|
= 0.0379"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*1.00*(0.235 - 0 + (-0.0004)) / (17.765 - 0.40*(0.235- 0 + (-0.0004)))
= 500.14 psi
Hot Shut Down, Corroded, Wind, Below Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.88252*15,700*1.20*1.00)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0004)
= 0.0004"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0003"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0003) - (0)|
= 0.0003"
Hot Shut Down, New, Wind, Below Support Point
tp = 0" (Pressure)tm = M / (*Rm
2*St*Ks*Ec) (bending)
= 72 / (*17.88252*15,700*1.20*1.00)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
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= 0 + 0 - (-0.0004)
= 0.0004"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0003"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0003) - (0)|
= 0.0003"
Empty, Corroded, Wind, Below Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.88252*15,700*1.20*1.00)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -684.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0003"tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0003)
= 0.0003"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-684.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0002"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0002) - (0)|
= 0.0002"
Empty, New, Wind, Below Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.88252*15,700*1.20*1.00)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -684.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0003"
tt = tp+ tm- tw (total required, tensile)= 0 + 0 - (-0.0003)
= 0.0003"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-684.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0002"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0002) - (0)|
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= 0.0002"
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Below Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.88252*15,700*1.00*1.00)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -933.4 / (2**17.8825*15,700*1.00*1.00)
= -0.0005"
tt = tp+ tm- tw(total required,
tensile)
= 0 + 0 - (-0.0005)
= 0.0005"
tc = |tmc+ twc- tpc|(total, net
tensile)
= |0+ (-0.0005) - (0)|
= 0.0005"
Operating, Hot & Corroded, Seismic, Above Support Point
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*1.00 + 0.40*|80|)
= 0.0377"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 68,200 / (*17.88252*15,700*1.20*1.00)
= 0.0036"
tw = W / (2**Rm*St*Ks*Ec) (Weight)= 2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0012"
tt = tp+ tm- tw (total required, tensile)
= 0.0377 + 0.0036 - (0.0012)
= 0.0401"
twc = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0014"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0036 + (0.0014) - (0.0377)|
= 0.0327"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*1.00*(0.235 - 0.0036 + (0.0012)) / (17.765 - 0.40*(0.235 - 0.0036 + (0.0012)))
= 495.88 psi
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Operating, Hot & New, Seismic, Above Support Point
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*1.00 + 0.40*|80|)
= 0.0377"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 68,200 / (*17.88252*15,700*1.20*1.00)
= 0.0036"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0012"
tt = tp+ tm- tw (total required, tensile)
= 0.0377 + 0.0036 - (0.0012)
= 0.0401"
twc = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0014"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0036 + (0.0014) - (0.0377)|
= 0.0327"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*1.00*(0.235 - 0.0036 + (0.0012)) / (17.765 - 0.40*(0.235 - 0.0036 + (0.0012)))
= 495.88 psi
Hot Shut Down, Corroded, Seismic, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 68,200 / (*17.88252*15,700*1.20*1.00)
= 0.0036"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0012"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0036 - (0.0012)
= 0.0024"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 68,200 / (*17.88252*14,151.54*1.20)
= 0.004"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*2,483.2 / (2**17.8825*14,151.54*1.20)
= 0.0016"
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tc = tmc+ twc- tpc (total required, compressive)
= 0.004+ (0.0016) - (0)
= 0.0056"
Hot Shut Down, New, Seismic, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 68,200 / (*17.88252*15,700*1.20*1.00)
= 0.0036"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0012"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0036 - (0.0012)
= 0.0024"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 68,200 / (*17.88252
*14,151.54*1.20)= 0.004"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*2,483.2 / (2**17.8825*14,151.54*1.20)
= 0.0016"
tc = tmc+ twc- tpc (total required, compressive)
= 0.004+ (0.0016) - (0)
= 0.0056"
Empty, Corroded, Seismic, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 66,237 / (*17.88252*15,700*1.20*1.00)
= 0.0035"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0012"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0035 - (0.0012)
= 0.0023"tmc = M / (*Rm
2*Sc*Ks) (bending)
= 66,237 / (*17.88252*14,151.54*1.20)
= 0.0039"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*2,483.2 / (2**17.8825*14,151.54*1.20)
= 0.0016"
tc = tmc+ twc- tpc (total required, compressive)
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= 0.0039 + (0.0016) - (0)
= 0.0054"
Empty, New, Seismic, Above Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 66,237 / (*17.88252*15,700*1.20*1.00)
= 0.0035"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 2,483.2 / (2**17.8825*15,700*1.20*1.00)
= 0.0012"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0035 - (0.0012)
= 0.0023"
tmc = M / (*Rm2*Sc*Ks) (bending)
= 66,237 / (*17.88252*14,151.54*1.20)
= 0.0039"twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*2,483.2 / (2**17.8825*14,151.54*1.20)
= 0.0016"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0039 + (0.0016) - (0)
= 0.0054"
Operating, Hot & Corroded, Seismic, Below Support Point
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.765 / (2*15,700*1.20*1.00 + 0.40*|80|)
= 0.0377"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 1,099 / (*17.88252*15,700*1.20*1.00)
= 0.0001"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0.0377 + 0.0001 - (-0.0005)= 0.0383"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= -933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0001 + (-0.0004) - (0.0377)|
= 0.0381"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*1.00*(0.235 - 0.0001 + (-0.0005)) / (17.765 - 0.40*(0.235 - 0.0001 + (-0.0005)))
= 499.83 psi
Operating, Hot & New, Seismic, Below Support Point
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)= 80*17.765 / (2*15,700*1.20*1.00 + 0.40*|80|)
= 0.0377"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 1,099 / (*17.88252*15,700*1.20*1.00)
= 0.0001"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0.0377 + 0.0001 - (-0.0005)
= 0.0383"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= -933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0001 + (-0.0004) - (0.0377)|
= 0.0381"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*1.00*(0.235 - 0.0001 + (-0.0005)) / (17.765 - 0.40*(0.235 - 0.0001 + (-0.0005)))
= 499.83 psi
Hot Shut Down, Corroded, Seismic, Below Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 1,099 / (*17.88252*15,700*1.20*1.00)
= 0.0001"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0001 - (-0.0005)
= 0.0006"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
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= -933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0001 + (-0.0004) - (0)|
= 0.0004"
Hot Shut Down, New, Seismic, Below Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 1,099 / (*17.88252*15,700*1.20*1.00)
= 0.0001"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0001 - (-0.0005)
= 0.0006"twc = W / (2**Rm*St*Ks*Ec) (Weight)
= -933.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0001 + (-0.0004) - (0)|
= 0.0004"
Empty, Corroded, Seismic, Below Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 852 / (*17.88252*15,700*1.20*1.00)
= 0"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-684.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0004)
= 0.0004"
twc = W / (2**Rm*St*Ks*Ec) (Weight)= -684.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0003"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0003) - (0)|
= 0.0003"
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Empty, New, Seismic, Below Support Point
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 852 / (*17.88252*15,700*1.20*1.00)
= 0"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-684.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0004)
= 0.0004"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= -684.4 / (2**17.8825*15,700*1.20*1.00)
= -0.0003"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0003) - (0)|
= 0.0003"
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F&D Head #1
ASME Section VIII, Division 1, 2010 Edition
Component: F&D Head
Material Specification: SA-285 C (II-D p.6, ln. 42)Straight Flangegoverns MDMT
Internal design pressure: P = 80 psi @ 100 F
Static liquid head:
Ps= 0 psi (SG=1, Hs=0" Operating head)
Ptv= 0.758 psi (SG=1, Hs=21" Vertical test head)
Corrosion allowance: Inner C = 0" Outer C = 0"
Design MDMT = -20F No impact test performed
Rated MDMT = -55F Material is not normalizedMaterial 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(b) Type 1
Estimated weight*: new = 72.1 lb corr = 72.1 lb
Capacity*: new = 29.9 US gal corr = 29.9 US gal* includes straight flange
Outer diameter = 36"
Crown radius L = 28.8"Knuckle radius r = 3.6"Minimum head thickness = 0.235"
Straight flange length Lsf = 2"Nominal straight flange thickness tsf = 0.25"
Results Summary
The governing condition is internal pressure.Minimum thickness per UG-16 = 0.0625" + 0"= 0.0625"
Design thickness due to internal pressure (t) = 0.1264"Maximum allowable working pressure (MAWP) = 149.3psi
Maximum allowable pressure (MAP) = 149.3psi
M (Corroded)
M=1/4*[3 + (L / r)1/2]=1/4*[3 + (28.8 / 3.6)1/2]=1.457107
M (New)
M=1/4*[3 + (L / r)1/2]=1/4*[3 + (28.8 / 3.6)1/2]=1.457107
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Design thickness for internal pressure, (Corroded at 100 F) Appendix 1-4(d)
t = P*Lo*M / (2*S*E + P*(M - 0.2)) + Corrosion= 80*29.035*1.4571 / (2*15,700*0.85 + 80*(1.4571 - 0.2)) + 0= 0.1263"
The head internal pressure design thickness is 0.1264".
Maximum allowable working pressure, (Corroded at 100 F) Appendix 1-4(d)
P = 2*S*E*t / (M*Lo- t*(M - 0.2)) - Ps= 2*15,700*0.85*0.235 / (1.4571*29.035 - 0.235*(1.4571 - 0.2))- 0
= 149.3 psi
The maximum allowable working pressure (MAWP) is 149.3psi.
Maximum allowable pressure, (New at 70 F) Appendix 1-4(d)
P = 2*S*E*t / (M*Lo- t*(M - 0.2)) - Ps= 2*15,700*0.85*0.235 / (1.4571*29.035 - 0.235*(1.4571 - 0.2)) - 0= 149.3 psi
The maximum allowable pressure (MAP) is 149.3psi.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / Rf)*(1 - Rf/ Ro)
= (75*0.25 / 3.725)*(1 - 3.725 / )
= 5.0336%
The extreme fiber elongation exceeds 5 percent. Heat treatment per UCS-56 may be required. See UCS-79(d)(4) or(5).
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Straight Flange on F&D Head #1
ASME Section VIII Division 1, 2010 Edition
Component: Straight Flange
Material specification: SA-285 C (II-D p. 6, ln. 42)Material impact test exemption temperature from Fig UCS-66 Curve A = 18 F
Fig UCS-66.1 MDMT reduction = 125.9 F, (coincident ratio = 0.3660014)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.235 in
Internal design pressure: P = 80 psi @ 100 F
Static liquid head:
Ps = 0 psi (SG = 1, Hs=
0",Operating head)
Ptv = 0.83 psi (SG = 1, Hs= 23",Vertical test head)
Corrosion allowance Inner C = 0" Outer C = 0"
Design MDMT = -20 F No impact test performedRated MDMT = -55 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(b) Type 1
Estimated weight New = 15.9 lb corr = 15.9 lb
Capacity New = 8.57 US gal corr = 8.57 US gal
OD = 36"
LengthLc
= 2"
t = 0.25"
Design thickness, (at 100 F) Appendix 1-1
t = P*Ro/ (S*E + 0.40*P) + Corrosion
= 80*18 / (15,700*0.85 + 0.40*80) + 0= 0.1077"
Maximum allowable working pressure, (at 100 F) Appendix 1-1
P = S*E*t / (Ro- 0.40*t) - Ps= 15,700*0.85*0.25 / (18 - 0.40*0.25) - 0= 186.38 psi
Maximum allowable pressure, (at 70 F) Appendix 1-1
P = S*E*t / (Ro- 0.40*t)
= 15,700*0.85*0.25 / (18 - 0.40*0.25)= 186.38 psi
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% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf/ Ro)
= (50*0.25 / 17.875)*(1 - 17.875 /)
= 0.6993%
The extreme fiber elongation does not exceed 5%.
Design thickness = 0.1077"
The governing condition is due to internal pressure.
The cylinder thickness of 0.25" is adequate.
Thickness Required Due to Pressure + External Loads
ConditionPressure P (
psi)
Allowable StressBefore UG-23
Stress Increase (psi)
Temperature (F)
Corrosion C(in)
LoadReq'd Thk Due to
Tension (in)
Req'd Thk Dueto
Compression(in)
St Sc
Operating, Hot & Corroded 80 15,700 14,404 100 0 Wind 0.044 0.0438
Seismic 0.044 0.0435
Operating, Hot & New 80 15,700 14,404 100 0Wind 0.044 0.0438
Seismic 0.044 0.0435
Hot Shut Down, Corroded 0 15,700 14,404 100 0Wind 0.0003 0.0005
Seismic 0.0003 0.0007
Hot Shut Down, New 0 15,700 14,404 100 0Wind 0.0003 0.0005
Seismic 0.0003 0.0007
Empty, Corroded 0 15,700 14,404 70 0Wind 0.0003 0.0005
Seismic 0.0003 0.0007
Empty, New 0 15,700 14,404 70 0Wind 0.0003 0.0005
Seismic 0.0003 0.0007
Hot Shut Down, Corroded, Weight
& Eccentric Moments Only0 15,700 14,404 100 0 Weight 0.0005 0.0006
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.25)
= 0.001736
B = 14,404 psi
S = 15,700 / 1.00 = 15,700 psi
ScHC = min(B, S) = 14,404 psi
Allowable Compressive Stress, Hot and New- ScHNScHN = ScHC
= 14,404 psi
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Allowable Compressive Stress, Cold and New- ScCN, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.25)
= 0.001736
B = 14,404 psi
S = 15,700 / 1.00 = 15,700 psi
ScCN = min(B, S) = 14,404 psi
Allowable Compressive Stress, Cold and Corroded- ScCCScCC = ScCN
= 14,404 psi
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.25)
= 0.001736
B = 14,404 psi
S = 15,700 / 1.00 = 15,700 psi
ScVC = min(B, S) = 14,404 psi
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.75 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 176 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*894.7 / (2**17.875*15,700*1.20*0.85)
= 0.0003"
tt = tp+ tm- tw(total required,
tensile)
= 0.0443 + 0 - (0.0003)
= 0.044"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= 894.7 / (2**17.875*15,700*1.20*0.85)
= 0.0005"
tc = |tmc+ twc- tpc|(total, net
tensile)
= |0 + (0.0005) - (0.0443)|
= 0.0438"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.25 - 0 + (0.0003)) / (17.75 - 0.40*(0.25 - 0 + (0.0003)))
= 454.18 psi
Operating, Hot & New, Wind, Bottom Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)= 80*17.75 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 176 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*894.7 / (2**17.875*15,700*1.20*0.85)
= 0.0003"
tt = tp+ tm- tw
(total required,
tensile)= 0.0443 + 0 - (0.0003)
= 0.044"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= 894.7 / (2**17.875*15,700*1.20*0.85)
= 0.0005"
tc = |tmc+ twc- tpc|(total, nettensile)
= |0 + (0.0005) - (0.0443)|
= 0.0438"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.25 - 0 + (0.0003)) / (17.75 - 0.40*(0.25 - 0 + (0.0003)))
= 454.18 psi
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 176 / (*17.8752
*14,404.47*1.20)= 0"
tw = 0.6*W / (2**Rm*Sc*Ks) (Weight)
= 0.60*894.7 / (2**17.875*14,404.47*1.20)
= 0.0003"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0 - (0.0003)|
= 0.0003"
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twc = W / (2**Rm*Sc*Ks) (Weight)
= 894.7 / (2**17.875*14,404.47*1.20)
= 0.0005"
tc = tmc+ twc- tpc (total required, compressive)
= 0 + (0.0005) - (0)
= 0.0005"
Hot Shut Down, New, Wind, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 176 / (*17.8752*14,404.47*1.20)
= 0"
tw = 0.6*W / (2**Rm*Sc*Ks) (Weight)
= 0.60*894.7 / (2**17.875*14,404.47*1.20)
= 0.0003"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0 - (0.0003)|= 0.0003"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 894.7 / (2**17.875*14,404.47*1.20)
= 0.0005"
tc = tmc+ twc- tpc (total required, compressive)
= 0 + (0.0005) - (0)
= 0.0005"
Empty, Corroded, Wind, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 176 / (*17.8752*14,404.47*1.20)
= 0"
tw = 0.6*W / (2**Rm*Sc*Ks) (Weight)
= 0.60*894.7 / (2**17.875*14,404.47*1.20)
= 0.0003"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0 - (0.0003)|
= 0.0003"twc = W / (2**Rm*Sc*Ks) (Weight)
= 894.7 / (2**17.875*14,404.47*1.20)
= 0.0005"
tc = tmc+ twc- tpc (total required, compressive)
= 0 + (0.0005) - (0)
= 0.0005"
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Empty, New, Wind, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 176 / (*17.8752*14,404.47*1.20)
= 0"
tw = 0.6*W / (2**Rm*Sc*Ks) (Weight)
= 0.60*894.7 / (2**17.875*14,404.47*1.20)
= 0.0003"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0 - (0.0003)|
= 0.0003"
twc = W / (2**Rm*Sc*Ks) (Weight)
= 894.7 / (2**17.875*14,404.47*1.20)
= 0.0005"
tc = tmc+ twc- tpc (total required, compressive)
= 0 + (0.0005) - (0)
= 0.0005"
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 88 / (*17.8752*14,404.47*1.00)
= 0"
tw = W / (2**Rm*Sc*Ks) (Weight)
= 894.7 / (2**17.875*14,404.47*1.00)
= 0.0006"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0 - (0.0006)|
= 0.0005"
tc = tmc+ twc- tpc (total required, compressive)
= 0 + (0.0006) - (0)
= 0.0006"
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.75 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 2,857 / (*17.8752*15,700*1.20*0.85)
= 0.0002"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= 894.7 / (2**17.875*15,700*1.20*0.85)
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Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 2,857 / (*17.8752*14,404.47*1.20)
= 0.0002"
tw = W / (2**Rm*Sc*Ks) (Weight)
= 894.7 / (2**17.875*14,404.47*1.20)
= 0.0005"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0.0002 - (0.0005)|
= 0.0003"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*894.7 / (2**17.875*14,404.47*1.20)
= 0.0006"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0002 + (0.0006) - (0)
= 0.0007"
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 2,857 / (*17.8752*14,404.47*1.20)
= 0.0002"
tw = W / (2**Rm*Sc*Ks) (Weight)
= 894.7 / (2**17.875*14,404.47*1.20)
= 0.0005"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0.0002 - (0.0005)|
= 0.0003"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*894.7 / (2**17.875*14,404.47*1.20)
= 0.0006"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0002 + (0.0006) - (0)
= 0.0007"
Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 2,759 / (*17.8752*14,404.47*1.20)
= 0.0002"
tw = W / (2**Rm*Sc*Ks) (Weight)
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= 894.7 / (2**17.875*14,404.47*1.20)
= 0.0005"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0.0002 - (0.0005)|
= 0.0003"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*894.7 / (2**17.875*14,404.47*1.20)
= 0.0006"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0002 + (0.0006) - (0)
= 0.0007"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (*Rm2*Sc*Ks) (bending)
= 2,759 / (*17.8752*14,404.47*1.20)
= 0.0002"tw = W / (2**Rm*Sc*Ks) (Weight)
= 894.7 / (2**17.875*14,404.47*1.20)
= 0.0005"
tt = |tp+ tm- tw| (total, net compressive)
= |0 + 0.0002 - (0.0005)|
= 0.0003"
twc = (1 + VAccel)*W / (2**Rm*Sc*Ks) (Weight)
= 1.20*894.7 / (2**17.875*14,404.47*1.20)
= 0.0006"
tc = tmc+ twc- tpc (total required, compressive)
= 0.0002 + (0.0006) - (0)
= 0.0007"
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Straight Flange on F&D Head #2
ASME Section VIII Division 1, 2010 Edition
Component: Straight Flange
Material specification: SA-285 C (II-D p. 6, ln. 42)Material impact test exemption temperature from Fig UCS-66 Curve A = 18 F
Fig UCS-66.1 MDMT reduction = 125.7 F, (coincident ratio = 0.3663309)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 0.235 in
Internal design pressure: P = 80 psi @ 100 F
Static liquid head:
Ps = 0.07 psi (SG = 1, Hs= 2",Operating head)
Ptv = 5.21 psi (SG = 1, Hs= 144.375", Vertical testhead)
Corrosion allowance Inner C = 0" Outer C = 0"
Design MDMT = -20 F No impact test performed
Rated MDMT = -55 F Material is not normalizedMaterial is not produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Seamless No RTCircumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 15.9 lb corr = 15.9 lb
Capacity New = 8.57 US gal corr = 8.57 US gal
OD = 36"Length
Lc= 2"
t = 0.25"
Design thickness, (at 100 F) Appendix 1-1
t = P*Ro/ (S*E + 0.40*P) + Corrosion= 80.07*18 / (15,700*0.85 + 0.40*80.07) + 0
= 0.1078"
Maximum allowable working pressure, (at 100 F) Appendix 1-1
P = S*E*t / (Ro- 0.40*t) - Ps= 15,700*0.85*0.25 / (18 - 0.40*0.25) - 0.07
= 186.31 psi
Maximum allowable pressure, (at 70 F) Appendix 1-1
P = S*E*t / (Ro- 0.40*t)= 15,700*0.85*0.25 / (18 - 0.40*0.25)
= 186.38 psi
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% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf/ Ro)
= (50*0.25 / 17.875)*(1 - 17.875 /)
= 0.6993%
The extreme fiber elongation does not exceed 5%.
Design thickness = 0.1078"
The governing condition is due to internal pressure.
The cylinder thickness of 0.25" is adequate.
Thickness Required Due to Pressure + External Loads
ConditionPressure P (
psi)
Allowable StressBefore UG-23
Stress Increase (psi)
Temperature (F)
Corrosion C(in)
LoadReq'd Thk Due to
Tension (in)
Req'd Thk Dueto
Compression(in)
St Sc
Operating, Hot & Corroded 80 15,700 14,404 100 0 Wind 0.0447 0.0445
Seismic 0.0448 0.0446
Operating, Hot & New 80 15,700 14,404 100 0Wind 0.0447 0.0445
Seismic 0.0448 0.0446
Hot Shut Down, Corroded 0 15,700 14,404 100 0Wind 0.0004 0.0002
Seismic 0.0005 0.0003
Hot Shut Down, New 0 15,700 14,404 100 0Wind 0.0004 0.0002
Seismic 0.0005 0.0003
Empty, Corroded 0 15,700 14,404 70 0Wind 0.0004 0.0002
Seismic 0.0005 0.0003
Empty, New 0 15,700 14,404 70 0Wind 0.0004 0.0002
Seismic 0.0005 0.0003
Hot Shut Down, Corroded, Weight
& Eccentric Moments Only0 15,700 14,404 100 0 Weight 0.0005 0.0004
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.25)
= 0.001736
B = 14,404 psi
S = 15,700 / 1.00 = 15,700 psi
ScHC = min(B, S) = 14,404 psi
Allowable Compressive Stress, Hot and New- ScHNScHN = ScHC
= 14,404 psi
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Allowable Compressive Stress, Cold and New- ScCN, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.25)
= 0.001736
B = 14,404 psi
S = 15,700 / 1.00 = 15,700 psi
ScCN = min(B, S) = 14,404 psi
Allowable Compressive Stress, Cold and Corroded- ScCCScCC = ScCN
= 14,404 psi
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2)
A = 0.125 / (Ro/ t)
= 0.125 / (18 / 0.25)
= 0.001736
B = 14,404 psi
S = 15,700 / 1.00 = 15,700 psi
ScVC = min(B, S) = 14,404 psi
Operating, Hot & Corroded, Wind, Top Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.75 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0.0443 + 0 - (-0.0004)
= 0.0447"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0002"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0002) - (0.0443)|
= 0.0445"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.25 - 0 + (-0.0004)) / (17.75 - 0.40*(0.25 - 0 + (-0.0004)))
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= 452.96 psi
Operating, Hot & New, Wind, Top Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.75 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0.0443 + 0 - (-0.0004)
= 0.0447"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-676.9 / (2**17.875*15,700*1.20*0.85)= -0.0002"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0002) - (0.0443)|
= 0.0445"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.25 - 0 + (-0.0004)) / (17.75 - 0.40*(0.25 - 0 + (-0.0004)))
= 452.96 psi
Hot Shut Down, Corroded, Wind, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)= 0 + 0 - (-0.0004)
= 0.0004"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0002"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0002) - (0)|
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= 0.0002"
Hot Shut Down, New, Wind, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0004)
= 0.0004"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0002"
tc = |tmc+ twc- tpc| (total, net tensile)= |0 + (-0.0002) - (0)|
= 0.0002"
Empty, Corroded, Wind, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0004)
= 0.0004"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0002"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0002) - (0)|= 0.0002"
Empty, New, Wind, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.8752*15,700*1.20*0.85)
= 0"
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tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0004)
= 0.0004"
twc = 0.6*W / (2**Rm*St*Ks*Ec) (Weight)
= 0.60*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0002"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0002) - (0)|
= 0.0002"
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 72 / (*17.8752
*15,700*1.00*0.85)= 0"
tw = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.00*0.85)
= -0.0005"
tt = tp+ tm- tw(total required,
tensile)
= 0 + 0 - (-0.0005)
= 0.0005"
tc
= |tmc
+ twc
- tpc
|(total, net
tensile)= |0+ (-0.0005) - (0)|
= 0.0004"
Operating, Hot & Corroded, Seismic, Top Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.75 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 987 / (*17.8752*15,700*1.20*0.85)
= 0.0001"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0.0443 + 0.0001 - (-0.0005)
= 0.0448"
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twc = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0001 + (-0.0004) - (0.0443)|
= 0.0446"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.25 - 0.0001 + (-0.0005)) / (17.75 - 0.40*(0.25 - 0.0001 + (-0.0005)))
= 452.72 psi
Operating, Hot & New, Seismic, Top Seam
tp = P*R / (2*St*Ks*Ec+ 0.40*|P|) (Pressure)
= 80*17.75 / (2*15,700*1.20*0.85 + 0.40*|80|)
= 0.0443"
tm = M / (*Rm2*St*Ks*Ec) (bending)= 987 / (*17.8752*15,700*1.20*0.85)
= 0.0001"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0.0443 + 0.0001 - (-0.0005)
= 0.0448"
twc
= W / (2**Rm
*St
*Ks
*Ec
) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0001 + (-0.0004) - (0.0443)|
= 0.0446"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm+ tw) / (R - 0.40*(t - tm+ tw))
= 2*15,700*1.20*0.85*(0.25 - 0.0001 + (-0.0005)) / (17.75 -0.40*(0.25 - 0.0001 + (-0.0005)))
= 452.72 psi
Hot Shut Down, Corroded, Seismic, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 987 / (*17.8752*15,700*1.20*0.85)
= 0.0001"
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tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0001 - (-0.0005)
= 0.0005"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0001 + (-0.0004) - (0)|
= 0.0003"
Hot Shut Down, New, Seismic, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 987 / (*17.875
2
*15,700*1.20*0.85)= 0.0001"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0.0001 - (-0.0005)
= 0.0005"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0.0001 + (-0.0004) - (0)|
= 0.0003"
Empty, Corroded, Seismic, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 777 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0005)
= 0.0005"
twc = W / (2**Rm*St*Ks*Ec) (Weight)
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= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0004) - (0)|
= 0.0003"
Empty, New, Seismic, Top Seam
tp = 0" (Pressure)
tm = M / (*Rm2*St*Ks*Ec) (bending)
= 777 / (*17.8752*15,700*1.20*0.85)
= 0"
tw = (1 + VAccel)*W / (2**Rm*St*Ks*Ec) (Weight)
= 1.20*-676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0005"
tt = tp+ tm- tw (total required, tensile)
= 0 + 0 - (-0.0005)
= 0.0005"twc = W / (2**Rm*St*Ks*Ec) (Weight)
= -676.9 / (2**17.875*15,700*1.20*0.85)
= -0.0004"
tc = |tmc+ twc- tpc| (total, net tensile)
= |0 + (-0.0004) - (0)|
= 0.0003"
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F&D Head #2
ASME Section VIII, Division 1, 2010 Edition
Component: F&D Head
Material Specification: SA-285 C (II-D p.6, ln. 42)Straight Flangegoverns MDMT
Internal design pressure: P = 80 psi @ 100 F
Static liquid head:
Ps= 0.3595 psi (SG=1, Hs=9.9579" Operating head)
Ptv= 5.4988 psi (SG=1, Hs=152.3329" Vertical test head)
Corrosion allowance: Inner C = 0" Outer C = 0"
Design MDMT = -20F No impact test performed
Rated MDMT = -55F Material is not normalizedMaterial 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(b) Type 1
Estimated weight*: new = 81.3 lb corr = 81.3 lb
Capacity*: new = 29.9 US gal corr = 29.9 US gal* includes straight flange
Outer diameter = 36"
Crown radius L = 28.8"Knuckle radius r = 3.6"Minimum head thickness = 0.235"
Straight flange length Lsf = 2"Nominal straight flange thickness tsf = 0.25"
Results Summary
The governing condition is internal pressure.Minimum thickness per UG-16 = 0.0625" + 0"= 0.0625"
Design thickness due to internal pressure (t) = 0.1269"Maximum allowable working pressure (MAWP) = 148.94psi
Maximum allowable pressure (MAP) = 149.3psi
M (Corroded)
M=1/4*[3 + (L / r)1/2]=1/4*[3 + (28.8 / 3.6)1/2]=1.457107
M (New)
M=1/4*[3 + (L / r)1/2]=1/4*[3 + (28.8 / 3.6)1/2]=1.457107
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Design thickness for internal pressure, (Corroded at 100 F) Appendix 1-4(d)
t = P*Lo*M / (2*S*E + P*(M - 0.2)) + Corrosion= 80.36*29.035*1.4571 / (2*15,700*0.85 + 80.36*(1.4571- 0.2)) + 0= 0.1269"
The head internal pressure design thickness is 0.1269".
Maximum allowable working pressure, (Corroded at 100 F) Appendix 1-4(d)
P = 2*S*E*t / (M*Lo- t*(M - 0.2)) - Ps= 2*15,700*0.85*0.235 / (1.4571*29.035 - 0.235*(1.4571 - 0.2)) - 0.36
= 148.94 psi
The maximum allowable working pressure (MAWP) is 148.94psi.
Maximum allowable pressure, (New at 70 F) Appendix 1-4(d)
P = 2*S*E*t / (M*Lo- t*(M - 0.2)) - Ps= 2*15,700*0.85*0.235 / (1.4571*29.035 - 0.235*(1.4571 - 0.2)) - 0= 149.3 psi
The maximum allowable pressure (MAP) is 149.3psi.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / Rf)*(1 - Rf/ Ro)
= (75*0.25 / 3.725)*(1 - 3.725 / )
= 5.0336%
The extreme fiber elongation exceeds 5 percent. Heat treatment per UCS-56 may be required. See UCS-79(d)(4) or(5).
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ACIDO (B3)
ASME Section VIII Division 1, 2010 Edition
tw(lower)= 0.375 in
Leg41= 0.1875 in
Leg43= 0 in
hnew= 1 in
Note: round inside edges per UG-76(c)
Located on: Cylinder #2
Liquid static head included: 0 psi
Nozzle material specification: SA-106 B Smls pipe (II-D p. 10, ln. 40)
Nozzle longitudinal joint efficiency: 1
Nozzle description: NPS 2 Sch 40 (Std)
Flange description: 2 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt
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Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary(in2)
For P = 285 psi @ 100 F
UG-45 NozzleWall
ThicknessSummary (in)The nozzle passes
UG-45
Arequired
Aavailable
A1 A2 A3 A5A
weldstreq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a)
0.1348 0.1348
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations
per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld descriptionRequired weldthroat size (in)
Actual weldthroat size (in)
Status
Nozzle to shell fillet (Leg41) 0.1078 0.1312 weld size is adequate
Calculations for internal pressure 285 psi @ 100 F
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt per UCS-66(d) (NPS 4 or smaller pipe).
Nozzle UCS-66 governing thk: 0.1348 in
Nozzle rated MDMT: -155 F
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn+ (tn- Cn) + (t - C))
= MAX(2.067, 1.0335 + (0.154 - 0) + (0.375 - 0))
= 2.067 in
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn- Cn) + te)
= MIN(2.5*(0.375 - 0), 2.5*(0.154 - 0) + 0)
= 0.385 in
Inner Normal Limit of reinforcement per UG-40
LI = MIN(2.5*(t - C), 2.5*(ti- Cn- C))
= MIN(2.5*(0.375 - 0), 2.5*(0.154 - 0 - 0))
= 0.385 in
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Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/ (Sn*E - 0.6*P)
= 285*1.0335 / (17,100*1 - 0.6*285)
= 0.0174 in
Required thickness trfrom UG-37(a)
tr = P*Ro/ (S*E + 0.4*P)
= 285*18 / (15,700*1 + 0.4*285)
= 0.3244 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 tnor t = 0.154 in
tc(min)= lesser of 0.25 or 0.7*tmin= 0.1078in
tc(actual)= 0.7*Leg = 0.7*0.1875 = 0.1313 in
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail whic
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