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Codeware, Inc.
Sarasota, FL, USA
www.codeware.com
COMPRESS Pressure Vessel Design Calculations
Item: Split Stream Dearator
Vessel No: V-1234
Customer: Magaladon Oil Venture
Contract: C-45490-R56
Designer: John Doe
Date: April 1, 2001
You can edit this page by selecting Cover Page settings... in the report menu.
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Table of Contents
General Arrangement Drawing................................................................................................................................1/86
Deficiencies Summary..............................................................................................................................................2/86
Pressure Summary...................................................................................................................................................3/86
Revision History........................................................................................................................................................4/86
Settings Summary.....................................................................................................................................................5/86
Radiography Summary.............................................................................................................................................7/86
Thickness Summary.................................................................................................................................................8/86
Weight Summary.......................................................................................................................................................9/86
Long Seam Summary.............................................................................................................................................10/86
Hydrostatic Test......................................................................................................................................................11/86
Vacuum Summary...................................................................................................................................................12/86
Cylinder #1...............................................................................................................................................................13/86
Ellipsoidal Head #1.................................................................................................................................................33/86
Straight Flange on Ellipsoidal Head #1.................................................................................................................36/86
Straight Flange on Ellipsoidal Head #2.................................................................................................................47/86
Ellipsoidal Head #2.................................................................................................................................................58/86
Legs #1.....................................................................................................................................................................61/86
Seismic Code...........................................................................................................................................................75/86
Wind Code...............................................................................................................................................................79/86
Liquid Level bounded by Ellipsoidal Head #2......................................................................................................86/86
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General Arrangement Drawing
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Deficiencies Summary
Warnings Summary
Warnings for Legs #1The Skirt/Legs/Saddles Stress Increase factor is 1.00 (Set Mode Options dialog on the Calculation page). AISCparagraph A5 permits a stress increase factor of 1/3. For the specified building code the recommended stress
increase factor is 1.30. (warning)
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Pressure Summary
Pressure Summary for Chamber bounded by Ellipsoidal Head #2 and Ellipsoidal Head #1
Identifier
P
Design
( bar)
T
Design
( °C)
MAWP
( bar)
MAP
( bar)
MAEP
( bar)
Te
external
( °C)
MDMT
( °C)
MDMT
Exemption
Impact
Tested
Ellipsoidal Head #1 3.5 140 11.84 17.72 2.82 140 -105 Note 1 No
Straight Flange on Ellipsoidal Head #1 3.5 140 15.6 21.48 1.31 140 -105 Note 2 No
Cylinder #1 3.5 140 11.4 17.61 0.63 140 -105 Note 3 No
Straight Flange on Ellipsoidal Head #2 3.5 140 15.28 21.48 1.31 140 -105 Note 5 No
Ellipsoidal Head #2 3.5 140 11.48 17.72 2.82 140 -105 Note 4 No
Legs #1 3.5 140 3.5 N/A N/A N/A N/A N/A N/A
Chamber design MDMT is -5 °CChamber rated MDMT is -105 °C @ 3.5 bar
Chamber MAWP hot & corroded is 3.5 bar @ 140 °C
Chamber MAP cold & new is 17.61 bar @ 21.11 °C
Chamber MAEP is 0.63 bar @ 140 °CVacuum rings did not govern the external pressure rating.
Notes for MDMT Rating:
Note # Exemption Details
1. Straight Flange governs MDMT
2. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2232)
3. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.3244)
4. Straight Flange governs MDMT
5. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2437)
Design notes are available on the Settings Summary page.
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Revision History
No. Date Operator Notes
0 4/24/2014 User New vessel created ASME Section VIII Division 1 [COMPRESS 2013 Build 7330]
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Settings Summary
COMPRESS 2014 Build 7400
Units: MKS
Datum Line Location: 0.00 mm from bottom seam
Design
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Design or Rating: Get Thickness from Pressure
Minimum thickness: 1.5 mm 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: 200 mmJuncture calculations for α > 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): No
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: YesNote: UG-22(b),(c) and (f) loads only considered when supports are present.
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Radiography Summary
Radiography for Chamber bounded by Ellipsoidal Head #2 and Ellipsoidal Head #1
ComponentLongitudinal Seam Top Circumferential Seam Bottom Circumferential Seam
MarkCategory
(Fig UW-3)Radiography / Joint Type
Category
(Fig UW-3)Radiography / Joint Type
Category
(Fig UW-3)Radiography / Joint Type
Ellipsoidal Head #1 N/A Seamless No RT N/A N/A B Full UW-11(a) / Type 1 RT1
Cylinder #1 A Full UW-11(a) / Type 1 B Full UW-11(a) / Type 1 B Full UW-11(a) / Type 1 RT1
Ellipsoidal Head #2 N/A Seamless No RT B Full UW-11(a) / Type 1 N/A N/A RT1
Chamber bounded by Ellipsoidal Head #2 and Ellipsoidal Head #1 - UG-116(e) Radiography: RT1
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Thickness Summary
Component
IdentifierMaterial Diameter
(mm)
Length
(mm)
Nominal t
(mm)
Design t
(mm)
Total Corrosion
(mm)
Joint
ELoad
Ellipsoidal Head #1 SA-516 70 1,400 ID 359 9* 4.78 3 1.00 Internal
Straight Flange on Ellipsoidal Head #1 SA-516 70 1,400 ID 50 11 6.39 3 1.00 External
Cylinder #1 SA-516 70 1,400 ID 4,100 9 6.38 3 1.00 External
Straight Flange on Ellipsoidal Head #2 SA-516 70 1,400 ID 50 11 6.39 3 1.00 External
Ellipsoidal Head #2 SA-516 70 1,400 ID 359 9* 4.96 3 1.00 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 ( kg) Contributed by Vessel ElementsSurface Area
m2Metal
New*
Metal
Corroded*Insulation
Insulation
SupportsLining
Piping
+ Liquid
Operating Liquid Test Liquid
New Corroded New Corroded
Ellipsoidal Head #1 180.8 122.3 0 0 0 0 0 0 435.8 442.6 2.66
Cylinder #1 1,279.4 854.8 0 0 0 0 4,941.9 4,984.3 6,306.2 6,360.3 18.26
Ellipsoidal Head #2 180.8 122.3 0 0 0 0 466.7 474.1 435.8 442.6 2.66
Legs #1 238.9 238.9 0 0 0 0 0 0 0 0 4.07
TOTAL: 1,880 1,338.4 0 0 0 0 5,408.6 5,458.4 7,177.8 7,245.6 27.65
* Shells with attached nozzles have weight reduced by material cut out for opening.
Component
Weight ( kg) Contributed by AttachmentsSurface
Area
m2Body FlangesNozzles &Flanges
PackedBeds
Ladders &Platforms
TraysTray
SupportsRings &
ClipsVerticalLoads
New Corroded New Corroded
Ellipsoidal Head #1 0 0 0 0 0 0 0 0 0 0 0
Cylinder #1 0 0 0 0 0 0 0 0 0 0 0
Ellipsoidal Head #2 0 0 0 0 0 0 0 0 0 0 0
Legs #1 0 0 0 0 0 0 0 0 0 0 0
TOTAL: 0 0 0 0 0 0 0 0 0 0 0
Vessel operating weight, Corroded: 6,797 kg
Vessel operating weight, New: 7,289 kg
Vessel empty weight, Corroded: 1,338 kg
Vessel empty weight, New: 1,880 kg
Vessel test weight, New: 9,058 kg
Vessel test weight, Corroded: 8,584 kg
Vessel surface area: 27.65 m2
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 1,880 kg
Center of Gravity: 1,725.94 mm
Vessel Capacity
Vessel Capacity** (New): 7,184 liters
Vessel Capacity** (Corroded): 7,252 liters
**The vessel capacity does not include volume of nozzle, piping or other attachments.
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Long Seam Summary
Shell Long Seam
Angles
Component Seam 1
Cylinder #1 0°
Shell Plate Lengths
Component StartingAngle
Plate 1
Cylinder #1 0° 4,426.5 mm
*North is located at 0°*Plate Lengths use the circumference of the vessel based on the mid diameter of the components
Shell Rollout
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Hydrostatic Test
Shop test pressure determination for Chamber bounded by Ellipsoidal Head #2 and Ellipsoidal Head #1 basedon MAWP per UG-99(b)
Shop hydrostatic test gauge pressure is 4.55 bar at 21.11 °C (the chamber MAWP = 3.5 bar)
The shop test is performed with the vessel in the horizontal position.
IdentifierLocal testpressure
bar
Test liquidstatic head
bar
UG-99(b)stressratio
UG-99(b)pressure
factor
Stressduring test
kgf/cm2
Allowabletest stress
kgf/cm2
Stressexcessive?
Ellipsoidal Head #1 (1) 4.69 0.14 1 1.30 334.572 2,404.489 No
Straight Flange on Ellipsoidal Head #1 4.69 0.14 1 1.30 306.54 2,404.489 No
Cylinder #1 4.69 0.14 1 1.30 374.131 2,404.489 No
Straight Flange on Ellipsoidal Head #2 4.69 0.14 1 1.30 306.54 2,404.489 No
Ellipsoidal Head #2 4.69 0.14 1 1.30 334.572 2,404.489 No
Notes:(1) Ellipsoidal Head #1 limits the UG-99(b) stress ratio.
(2) 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 Ellipsoidal Head #2 and EllipsoidalHead #1.
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Vacuum Summary
Component Line of Support
Elevation
above Datum
(mm)
Length Le
(mm)
Ellipsoidal Head #1 - 4,509 N/A
- 1/3 depth of Ellipsoidal Head #1 4,267.67 N/A
Straight Flange on Ellipsoidal Head #1 Top - 4,150 4,435.33
Straight Flange on Ellipsoidal Head #1 Bottom - 4,100 4,435.33
Cylinder #1 Top - 4,100 4,435.33
Cylinder #1 Bottom - 0 4,435.33
Straight Flange on Ellipsoidal Head #2 Top - 0 4,435.33
Straight Flange on Ellipsoidal Head #2 Bottom - -50 4,435.33
- 1/3 depth of Ellipsoidal Head #2 -167.67 N/A
Ellipsoidal Head #2 - -409 N/A
Note
For main components, the listed value of 'Le' is the largest unsupported length for the component.
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Cylinder #1
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component: Cylinder
Material specification: SA-516 70 (II-D Metric p. 18, ln. 19)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.3244)
Internal design pressure: P = 3.5 bar @ 140 °C
External design pressure: Pe = 0.15 bar @ 140 °C
Static liquid head:
Ps = 0.31 bar (SG = 1.071, Hs = 3,000 mm,Operating head)
Pth = 0.14 bar (SG = 1, Hs = 1,400 mm, Horizontal testhead)
Corrosion allowance Inner C = 3 mm Outer C = 0 mm
Design MDMT = -5 °C No impact test performedRated MDMT = -105 °C Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1
Top circumferential joint - Full UW-11(a) Type 1Bottom circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 1,279.4 kg corr = 854.8 kg
Capacity New = 6,311.46 liters corr = 6,365.67 liters
ID = 1,400 mmLengthLc
= 4,100 mm
t = 9 mm
Design thickness, (at 140 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion= 3.81*703 / (1,380*1.00 - 0.60*3.81) + 3= 4.95 mm
Maximum allowable working pressure, (at 140 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps= 1,380*1.00*6 / (703 + 0.60*6) - 0.31= 11.4 bar
Maximum allowable pressure, (at 21.11 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)= 1,380*1.00*9 / (700 + 0.60*9)
= 17.61 bar
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External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 4,435.33 / 1,418 = 3.1279Do / t = 1,418 / 3.38 = 419.0728From table G: A = 0.000048
From table CS-2Metric:
B = 48.0756 kg/cm2 (47.15 bar)
Pa = 4*B / (3*(Do / t))
= 4*47.15 / (3*(1,418 / 3.38))= 0.15 bar
Design thickness for external pressure Pa = 0.15 bar
ta = t + Corrosion = 3.38 + 3 = 6.38mm
Maximum Allowable External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 4,435.33 / 1,418 = 3.1279
Do / t = 1,418 / 6 = 236.3231From table G: A = 0.000113
From table CS-2
Metric: B = 113.656 kg/cm
2
(111.4582 bar)
Pa = 4*B / (3*(Do / t))
= 4*111.46 / (3*(1,418 / 6))= 0.63 bar
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*9 / 704.5)*(1 - 704.5 / ∞)
= 0.6388%
The extreme fiber elongation does not exceed 5%.
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
Pv = W / (2*π*Rm) + M / (π*Rm2)
= 10*971.8 / (2*π*706) + 10000*893 / (π*7062)
= 7.8937 kg/cm
α = Pv / (Pe*Do)
= 9.803*7.8937 / (0.15*1,418)
= 0.3639
n = 3
m = 1.23 / (L / Do)2
= 1.23 / (4,435.33 / 1,418)2
= 0.1257
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
=(32 - 1 + 0.1257 + 0.1257*0.3639) / (32 - 1 +0.1257)
= 1.0056
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
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External Pressure + Weight + Wind Loading Check at Bottom Seam (Bergman, ASME paper 54-A-104)
Pv = W / (2*π*Rm) + M / (π*Rm2)
= 10*-5,586 / (2*π*706) + 10000*5.9 / (π*7062)
= -12.5549 kg/cm
α = Pv / (Pe*Do)
= 9.803*-12.5549 / (0.15*1,418)
= -0.5788
n = 3
m = 1.23 / (L / Do)2
= 1.23 / (4,435.33 / 1,418)2
= 0.1257
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (32 - 1 + 0.1257 + 0.1257*-0.5788) / (32 - 1 + 0.1257)
= 1.0000
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = (1 + VAccel)*W / (2*π*Rm) + M / (π*Rm2)
= 1.20*10*971.8 / (2*π*706) + 10000*1,043.4 / (π*7062)
= 9.2924 kg/cm
α = Pv / (Pe*Do)
= 9.803*9.2924 / (0.15*1,418)
= 0.4284
n = 3
m = 1.23 / (L / Do)2
= 1.23 / (4,435.33 / 1,418)2
= 0.1257Ratio Pe = (n
2 - 1 + m + m*α) / (n2 - 1 + m)
= (32 - 1 + 0.1257 + 0.1257*0.4284) / (32 - 1 + 0.1257)
= 1.0066
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check at Bottom Seam(Bergman, ASME paper 54-A-104)
Pv = W / (2*π*Rm) + M / (π*Rm2)
= 10*-5,586 / (2*π*706) + 10000*5.8 / (π*7062)
= -12.5557 kg/cm
α = Pv / (Pe*Do)= 9.803*-12.5557 / (0.15*1,418)
= -0.5789
n = 3
m = 1.23 / (L / Do)2
= 1.23 / (4,435.33 / 1,418)2
= 0.1257
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
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= (32 - 1 + 0.1257 + 0.1257*-0.5789) / (32 - 1 + 0.1257)
= 1.0000
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
Design thickness = 6.38 mm
The governing condition is due to external pressure.
The cylinder thickness of 9 mm is adequate.
Thickness Required Due to Pressure + External Loads
ConditionPressure P
( bar)
AllowableStress Before
UG-23 StressIncrease (kg/cm2)
Temperature (°C)
Corrosion C(mm)
Location LoadReq'd Thk Due to
Tension (mm)Req'd Thk Due to
Compression (mm)
St Sc
Operating, Hot & Corroded 3.5 1,407.2 878.5 140 3
TopWind 0.76 0.7
Seismic 0.77 0.69
BottomWind 0.82 0.82
Seismic 0.83 0.82
Operating, Hot & New 3.5 1,407.2 984.3 140 0
TopWind 0.75 0.69
Seismic 0.76 0.67
BottomWind 0.81 0.81
Seismic 0.83 0.81
Hot Shut Down, Corroded 0 1,407.2 878.5 140 3
TopWind 0.02 0.07
Seismic 0.03 0.09
BottomWind 0.07 0.07
Seismic 0.09 0.07
Hot Shut Down, New 0 1,407.2 984.3 140 0
TopWind 0.01 0.08
Seismic 0.02 0.1
BottomWind 0.08 0.07
Seismic 0.09 0.07
Empty, Corroded 0 1,407.2 878.5 21.11 3Top
Wind 0.02 0.07
Seismic 0 0.05
BottomWind 0 0
Seismic 0 0
Empty, New 0 1,407.2 984.3 21.11 0Top
Wind 0.01 0.08
Seismic 0 0.06
BottomWind 0 0
Seismic 0 0
Vacuum -0.15 1,407.2 878.5 140 3Top Wind 0.02 0.13
Seismic 0.01 0.14
BottomWind 0.04 0.04
Seismic 0.06 0.04
Hot Shut Down, Corroded,
Weight & Eccentric MomentsOnly
0 1,407.2 878.5 140 3
Top Weight 0.02 0.02
Bottom Weight 0.09 0.09
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Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2Metric)
A = 0.125 / (Ro / t)
= 0.125 / (709 / 6)
= 0.001058
B = 878.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScHC = min(B, S) = 878.5 kg/cm2
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (709 / 9)
= 0.001587
B = 984.3 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScHN = min(B, S) = 984.3 kg/cm2
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (709 / 9)
= 0.001587
B = 984.3 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScCN = min(B, S) = 984.3 kg/cm2
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2Metric)
A = 0.125 / (Ro / t)
= 0.125 / (709 / 6)
= 0.001058
B = 878.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScCC = min(B, S) = 878.5 kg/cm2
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableCS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (709 / 6)
= 0.001058B = 878.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScVC = min(B, S) = 878.5 kg/cm2
Operating, Hot & Corroded, Wind, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
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= 3.5*703 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 893 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0.03 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 971.8 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0.01 mmtt = tp + tm - tw (total required, tensile)
= 0.74 + 0.03 - (0.01)
= 0.76 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0.03 + (0.01) - (0.74)|
= 0.7 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(6 - 0.03 + (0.01)) / (703 - 0.40*(6 - 0.03 + (0.01)))
= 28.27 bar
Operating, Hot & New, Wind, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*700 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 894.6 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0.03 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1,452.3 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0.02 mm
tt = tp + tm - tw(total required,tensile)
= 0.74 + 0.03 - (0.02)
= 0.75 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0.03 + (0.02) - (0.74)|
= 0.69 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(9 - 0.03 + (0.02)) / (700 - 0.40*(9 - 0.03 + (0.02)))
= 42.73 bar
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Hot Shut Down, Corroded, Wind, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 893 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0.03 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 971.8 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0.01 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0.03 - (0.01)
= 0.02 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 893 / (π*7062*861.49*1.20) * 98066.5
= 0.05 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 971.8 / (2*π*706*861.49*1.20) * 98.0665
= 0.02 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.05 + (0.02) - (0)
= 0.07 mm
Hot Shut Down, New, Wind, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 894.6 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0.03 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 1,452.3 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0.02 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0.03 - (0.02)
= 0.01 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 894.6 / (π*704.52*965.25*1.20) * 98066.5
= 0.05 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1,452.3 / (2*π*704.5*965.25*1.20) * 98.0665= 0.03 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.05 + (0.03) - (0)
= 0.08 mm
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Empty, Corroded, Wind, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 875 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0.03 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 971.8 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0.01 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0.03 - (0.01)
= 0.02 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 875 / (π*7062*861.49*1.20) * 98066.5
= 0.05 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 971.8 / (2*π*706*861.49*1.20) * 98.0665
= 0.02 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.05 + (0.02) - (0)
= 0.07 mm
Empty, New, Wind, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 877.2 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0.03 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 1,452.3 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0.02 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0.03 - (0.02)
= 0.01 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 877.2 / (π*704.52*965.25*1.20) * 98066.5
= 0.05 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1,452.3 / (2*π*704.5*965.25*1.20) * 98.0665= 0.03 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.05 + (0.03) - (0)
= 0.08 mm
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Vacuum, Wind, Above Support Point
tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -0.15*703 / (2*861.49*1.20 + 0.40*|0.15|)
= -0.05 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 893 / (π*7062*861.49*1.20) * 98066.5
= 0.05 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 971.8 / (2*π*706*861.49*1.20) * 98.0665
= 0.02 mm
tt = |tp + tm - tw| (total, net compressive)
= |-0.05 + 0.05 - (0.02)|
= 0.02 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.05 + (0.02) - (-0.05)
= 0.13 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*861.49*1.20*(6 - 0.05 - 0.02) / (703 - 0.40*(6 - 0.05 - 0.02))
= 17.49 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 0 / (π*7062*861.49*1.00) * 98066.5
= 0 mmtw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 971.8 / (2*π*706*861.49*1.00) * 98.0665
= 0.02 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0.02)|
= 0.02 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0.02) - (0)
= 0.02 mm
Operating, Hot & Corroded, Wind, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*703 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.9 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0 mm
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tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw (total required, tensile)
= 0.74 + 0 - (-0.07)
= 0.82 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (0.74)|= 0.82 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(6 - 0 + (-0.07)) / (703 - 0.40*(6 - 0 + (-0.07)))
= 28.01 bar
Operating, Hot & New, Wind, Below Support Point
tp
= P*R / (2*St*K
s*E
c + 0.40*|P|) (Pressure)
= 3.5*700 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.9 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,597.4 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw(total required,
tensile)
= 0.74 + 0 - (-0.07)
= 0.81 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0.07) - (0.74)|
= 0.81 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(9 - 0 + (-0.07)) / (700 - 0.40*(9 - 0 + (-0.07)))
= 42.44 bar
Hot Shut Down, Corroded, Wind, Below Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.9 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0 mm
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tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (-0.07)
= 0.07 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (0)|= 0.07 mm
Hot Shut Down, New, Wind, Below Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.9 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,597.4 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw(total required,
tensile)
= 0 + 0 - (-0.07)
= 0.08 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (-0.07) - (0)|
= 0.07 mm
Empty, Corroded, Wind, Below Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.8 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -127.6 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (0)
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (0) - (0)|
= 0 mm
Empty, New, Wind, Below Support Point
tp = 0 mm (Pressure)
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tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.8 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -188.8 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw(total required,
tensile)= 0 + 0 - (0)
= 0 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (0) - (0)|
= 0 mm
Vacuum, Wind, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -0.15*703 / (2*1,380*1.20*1.00 + 0.40*|0.15|)= -0.03 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.9 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw (total required, tensile)
= -0.03 + 0 - (-0.07)
= 0.04 mmtc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (-0.03)|
= 0.04 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*861.49*1.20*(6 - 0 - -0.12) / (703 - 0.40*(6 - 0 - -0.12))
= 18.06 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Below Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 0 / (π*7062*1,380*1.00*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,586 / (2*π*706*1,380*1.00*1.00) * 98.0665
= -0.09 mm
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tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (-0.09)
= 0.09 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.09) - (0)|
= 0.09 mm
Operating, Hot & Corroded, Seismic, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*703 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 1,043.4 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0.04 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 971.8 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0.01 mm
tt = tp + tm - tw(total required,tensile)
= 0.74 + 0.04 - (0.01)
= 0.77 mm
twc = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*971.8 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0.02 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0.04 + (0.02) - (0.74)|
= 0.69 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(6 - 0.04 + (0.01)) / (703 - 0.40*(6 - 0.04 + (0.01)))
= 28.24 bar
Operating, Hot & New, Seismic, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*700 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 1,136.8 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0.04 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1,452.3 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0.02 mm
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tt = tp + tm - tw(total required,tensile)
= 0.74 + 0.04 - (0.02)
= 0.76 mm
twc = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*1,452.3 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0.02 mm
tc = |tmc + twc - tpc| (total, nettensile)
= |0.04 + (0.02) - (0.74)|
= 0.67 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(9 - 0.04 + (0.02)) / (700 - 0.40*(9 - 0.04 + (0.02)))
= 42.69 bar
Hot Shut Down, Corroded, Seismic, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 1,043.4 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0.04 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 971.8 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0.01 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0.04 - (0.01)
= 0.03 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 1,043.4 / (π*7062*861.49*1.20) * 98066.5
= 0.06 mm
twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*971.8 / (2*π*706*861.49*1.20) * 98.0665
= 0.02 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.06 + (0.02) - (0)
= 0.09 mm
Hot Shut Down, New, Seismic, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 1,136.8 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0.04 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
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= 1,452.3 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0.02 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0.04 - (0.02)
= 0.02 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 1,136.8 / (π*704.52*965.25*1.20) * 98066.5
= 0.06 mmtwc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*1,452.3 / (2*π*704.5*965.25*1.20) * 98.0665
= 0.03 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.06 + (0.03) - (0)
= 0.1 mm
Empty, Corroded, Seismic, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 336.1 / (π*7062*861.49*1.20) * 98066.5
= 0.02 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 971.8 / (2*π*706*861.49*1.20) * 98.0665
= 0.02 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0.02 - (0.02)|
= 0 mm
twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*971.8 / (2*π*706*861.49*1.20) * 98.0665
= 0.02 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.02 + (0.02) - (0)
= 0.05 mm
Empty, New, Seismic, Above Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 478.7 / (π*704.52*965.25*1.20) * 98066.5
= 0.03 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1,452.3 / (2*π*704.5*965.25*1.20) * 98.0665
= 0.03 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0.03 - (0.03)|
= 0 mm
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twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*1,452.3 / (2*π*704.5*965.25*1.20) * 98.0665
= 0.03 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.03 + (0.03) - (0)
= 0.06 mm
Vacuum, Seismic, Above Support Point
tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -0.15*703 / (2*861.49*1.20 + 0.40*|0.15|)
= -0.05 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 1,043.4 / (π*7062*861.49*1.20) * 98066.5
= 0.06 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 971.8 / (2*π*706*861.49*1.20) * 98.0665
= 0.02 mm
tt = |tp + tm - tw| (total, net compressive)
= |-0.05 + 0.06 - (0.02)|
= 0.01 mm
twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*971.8 / (2*π*706*861.49*1.20) * 98.0665
= 0.02 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.06 + (0.02) - (-0.05)
= 0.14 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*861.49*1.20*(6 - 0.06 - 0.02) / (703 - 0.40*(6 - 0.06 - 0.02))
= 17.45 bar
Operating, Hot & Corroded, Seismic, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*703 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)= 5.8 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw(total required,tensile)
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= 0.74 + 0 - (-0.09)
= 0.83 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (-0.07) - (0.74)|= 0.82 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(6 - 0 + (-0.09)) / (703 - 0.40*(6 - 0 + (-0.09)))
= 27.94 bar
Operating, Hot & New, Seismic, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*700 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 6.1 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,597.4 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw (total required, tensile)
= 0.74 + 0 - (-0.09)
= 0.83 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,597.4 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (0.74)|
= 0.81 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*1,380*1.20*1.00*(9 - 0 + (-0.09)) / (700 - 0.40*(9 - 0 + (-0.09)))
= 42.37 bar
Hot Shut Down, Corroded, Seismic, Below Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.8 / (π*7062*1,380*1.20*1.00) * 98066.5
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= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw(total required,
tensile)
= 0 + 0 - (-0.09)
= 0.09 mmtwc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (-0.07) - (0)|
= 0.07 mm
Hot Shut Down, New, Seismic, Below Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)
= 6.1 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,597.4 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (-0.09)
= 0.09 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -5,597.4 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (0)|
= 0.07 mm
Empty, Corroded, Seismic, Below Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 1.6 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-127.6 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw(total required,
tensile)
= 0 + 0 - (0)
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= 0 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -127.6 / (2*π*706*1,380*1.20*1.00) * 98.0665
= 0 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (0) - (0)|
= 0 mm
Empty, New, Seismic, Below Support Point
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 2.3 / (π*704.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-188.8 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)
= 0 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -188.8 / (2*π*704.5*1,380*1.20*1.00) * 98.0665
= 0 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (0) - (0)|
= 0 mm
Vacuum, Seismic, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -0.15*703 / (2*1,380*1.20*1.00 + 0.40*|0.15|)
= -0.03 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.8 / (π*7062*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665= -0.09 mm
tt = tp + tm - tw(total required,tensile)
= -0.03 + 0 - (-0.09)
= 0.06 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,586 / (2*π*706*1,380*1.20*1.00) * 98.0665
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= -0.07 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (-0.07) - (-0.03)|
= 0.04 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))= 2*861.49*1.20*(6 - 0 - -0.12) / (703 - 0.40*(6 - 0 - -0.12))
= 18.06 bar
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Design thickness for internal pressure, (Corroded at 140 °C) Appendix 1-4(c)
t = P*D*K / (2*S*E - 0.2*P) + Corrosion= 3.5*1,406*0.994347 / (2*1,380*1 - 0.2*3.5) + 3= 4.77 mm
The head internal pressure design thickness is 4.78 mm.
Maximum allowable working pressure, (Corroded at 140 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*1,380*1*6 / (0.994347*1,406 +0.2*6) - 0
= 11.84 bar
The maximum allowable working pressure (MAWP) is 11.84 bar.
Maximum allowable pressure, (New at 21.11 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*1,380*1*9 / (1*1,400 +0.2*9) - 0= 17.72 bar
The maximum allowable pressure (MAP) is 17.72 bar.
Design thickness for external pressure, (Corroded at 140 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8887*1,418= 1,260.2 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,260.2 / 1.39)= 0.000138
From Table CS-2Metric:
B = 138.7052 kgf /cm2
Pa = B / (Ro / t)
= 136.0234 / (1,260.2 / 1.39)= 0.15 bar
t = 1.39 mm + Corrosion = 1.39 mm + 3 mm = 4.39 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c)
t = 1.67*Pe*D*K / (2*S*E - 0.2*1.67*Pe) + Corrosion
= 1.67*0.15*1,406*0.994347 / (2*1,380*1 - 0.2*1.67*0.15) + 3
= 3.13 mm
The head external pressure design thickness (te) is 4.39 mm.
Maximum Allowable External Pressure, (Corroded at 140 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8887*1,418
= 1,260.2 mm
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A = 0.125 / (Ro / t)
= 0.125 / (1,260.2 / 6)= 0.000595
From Table CS-2Metric:
B = 603.0223 kgf /cm2
Pa = B / (Ro / t)
= 591.3634 / (1,260.2 / 6)= 2.8157 bar
Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c)
P = 2*S*E*t / ((K*D + 0.2*t)*1.67) - Ps2= 2*1,380*1*6 / ((0.994347*1,406 +0.2*6)*1.67) - 0= 7.09 bar
The maximum allowable external pressure (MAEP) is 2.82 bar.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / Rf)*(1 - Rf / Ro)
= (75*11 / 243.5)*(1 - 243.5 / ∞)
= 3.3881%
The extreme fiber elongation does not exceed 5%.
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From table G: A = 0.000048From table CS-2
Metric:B = 48.1381 kg/cm2 (47.21 bar)
Pa = 4*B / (3*(Do / t))
= 4*47.21 / (3*(1,422 / 3.39))= 0.15 bar
Design thickness for external pressure Pa = 0.15 bar
ta = t + Corrosion = 3.39 + 3 = 6.39mm
Maximum Allowable External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 4,435.33 / 1,422 = 3.1191Do / t = 1,422 / 8 = 177.7442
From table G: A = 0.000176From table CS-2Metric:
B = 177.6831 kg/cm2 (174.2472 bar)
Pa = 4*B / (3*(Do / t))
= 4*174.25 / (3*(1,422 / 8))
= 1.31 bar
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*11 / 705.5)*(1 - 705.5 / ∞)
= 0.7796%
The extreme fiber elongation does not exceed 5%.
Design thickness = 6.39 mm
The governing condition is due to external pressure.
The cylinder thickness of 11 mm is adequate.
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Thickness Required Due to Pressure + External Loads
ConditionPressure P (
bar)
AllowableStress Before
UG-23 StressIncrease (
kg/cm2)
Temperature (°C)
Corrosion C(mm)
LoadReq'd Thk Due to
Tension (mm)Req'd Thk Due to
Compression (mm)
St Sc
Operating, Hot & Corroded 3.5 1,407.2 951.5 140 3Wind 0.74 0.74
Seismic 0.74 0.74
Operating, Hot & New 3.5 1,407.2 1,040.5 140 0Wind 0.74 0.74
Seismic 0.74 0.74
Hot Shut Down, Corroded 0 1,407.2 951.5 140 3Wind 0 0
Seismic 0 0
Hot Shut Down, New 0 1,407.2 1,040.5 140 0Wind 0 0
Seismic 0 0
Empty, Corroded 0 1,407.2 951.5 21.11 3Wind 0 0
Seismic 0 0
Empty, New 0 1,407.2 1,040.5 21.11 0Wind 0 0
Seismic 0 0
Vacuum -0.15 1,407.2 951.5 140 3Wind 0.05 0.05
Seismic 0.05 0.05
Hot Shut Down, Corroded,Weight & Eccentric MomentsOnly
0 1,407.2 951.5 140 3 Weight 0 0
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 8)
= 0.001407
B = 951.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScHC = min(B, S) = 951.5 kg/cm2
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 11)
= 0.001934
B = 1,040.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScHN = min(B, S) = 1,040.5 kg/cm2
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 11)
= 0.001934
B = 1,040.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
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ScCN = min(B, S) = 1,040.5 kg/cm2
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 8)
= 0.001407
B = 951.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScCC = min(B, S) = 951.5 kg/cm2
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableCS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 8)
= 0.001407
B = 951.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScVC = min(B, S) = 951.5 kg/cm2
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*703 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.6 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 122.3 / (2*π*707*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw (total required, tensile)
= 0.74 + 0 - (0)
= 0.74 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (0) - (0.74)|
= 0.74 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(8 - 0 + (0)) / (703 - 0.40*(8 - 0 + (0)))
= 37.87 bar
Operating, Hot & New, Wind, Bottom Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
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= 3.5*700 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.7 / (π*705.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 180.8 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= 0 mmtt = tp + tm - tw (total required, tensile)
= 0.74 + 0 - (0)
= 0.74 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (0) - (0.74)|
= 0.74 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(11 - 0 + (0)) / (700 - 0.40*(11 - 0 + (0)))
= 52.39 bar
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 5.6 / (π*7072*933.15*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 122.3 / (2*π*707*933.15*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0)|
= 0 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Hot Shut Down, New, Wind, Bottom Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)
= 5.7 / (π*705.52*1,020.33*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 180.8 / (2*π*705.5*1,020.33*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
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= |0 + 0 - (0)|
= 0 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Empty, Corroded, Wind, Bottom Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 5.5 / (π*7072*933.15*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 122.3 / (2*π*707*933.15*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0)|
= 0 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Empty, New, Wind, Bottom Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 5.5 / (π*705.52*1,020.33*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 180.8 / (2*π*705.5*1,020.33*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0)|
= 0 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Vacuum, Wind, Bottom Seam
tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -0.15*703 / (2*933.15*1.20 + 0.40*|0.15|)
= -0.05 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 5.6 / (π*7072*933.15*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
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= 122.3 / (2*π*707*933.15*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |-0.05 + 0 - (0)|
= 0.05 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (-0.05)
= 0.05 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*933.15*1.20*(8 - 0 - 0) / (703 - 0.40*(8 - 0 - 0))
= 25.59 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 0 / (π*7072*933.15*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 122.3 / (2*π*707*933.15*1.00) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0)|
= 0 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*703 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 4.2 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 122.3 / (2*π*707*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw(total required,
tensile)
= 0.74 + 0 - (0)
= 0.74 mm
twc = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
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= 1.20*122.3 / (2*π*707*1,380*1.20*1.00) * 98.0665
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0.74)|
= 0.74 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(8 - 0 + (0)) / (703 - 0.40*(8 - 0 + (0)))
= 37.87 bar
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*700 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 6 / (π*705.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 180.8 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0.74 + 0 - (0)
= 0.74 mm
twc = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*180.8 / (2*π*705.5*1,380*1.20*1.00) * 98.0665= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0.74)|
= 0.74 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(11 - 0 + (0)) / (700 - 0.40*(11 - 0 + (0)))
= 52.39 bar
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 4.2 / (π*7072*933.15*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
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= 122.3 / (2*π*707*933.15*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0)|
= 0 mm
twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*122.3 / (2*π*707*933.15*1.20) * 98.0665
= 0 mmtc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 6 / (π*705.52*1,020.33*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 180.8 / (2*π*705.5*1,020.33*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0)|
= 0 mm
twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*180.8 / (2*π*705.5*1,020.33*1.20) * 98.0665
= 0 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Empty, Corroded, Seismic, Bottom Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 4.8 / (π*7072*933.15*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 122.3 / (2*π*707*933.15*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0)|
= 0 mm
twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*122.3 / (2*π*707*933.15*1.20) * 98.0665
= 0 mm
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tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Empty, New, Seismic, Bottom Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 6.7 / (π*705.52*1,020.33*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 180.8 / (2*π*705.5*1,020.33*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0)|
= 0 mm
twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*180.8 / (2*π*705.5*1,020.33*1.20) * 98.0665
= 0 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (0)
= 0 mm
Vacuum, Seismic, Bottom Seam
tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -0.15*703 / (2*933.15*1.20 + 0.40*|0.15|)
= -0.05 mm
tm = M / (π*Rm2
*Sc*Ks) * MetricFactor (bending)= 4.2 / (π*7072*933.15*1.20) * 98066.5
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 122.3 / (2*π*707*933.15*1.20) * 98.0665
= 0 mm
tt = |tp + tm - tw| (total, net compressive)
= |-0.05 + 0 - (0)|
= 0.05 mm
twc = (1 + VAccel)*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.20*122.3 / (2*π*707*933.15*1.20) * 98.0665= 0 mm
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0) - (-0.05)
= 0.05 mm
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Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*933.15*1.20*(8 - 0 - 0) / (703 - 0.40*(8 - 0 - 0))
= 25.59 bar
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Straight Flange on Ellipsoidal Head #2
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component: Straight Flange
Material specification: SA-516 70 (II-D Metric p. 18, ln. 19)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2437)
Internal design pressure: P = 3.5 bar @ 140 °C
External design pressure: Pe = 0.15 bar @ 140 °C
Static liquid head:
Ps = 0.32 bar (SG = 1.071, Hs = 3,050 mm,Operating head)
Pth = 0.14 bar (SG = 1, Hs = 1,400 mm, Horizontal testhead)
Corrosion allowance Inner C = 3 mm Outer C = 0 mm
Design MDMT = -5 °C No impact test performedRated MDMT = -105 °C Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Radiography: Longitudinal joint - Seamless No RT
Circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 19.1 kg corr = 13.9 kg
Capacity New = 76.97 liters corr = 77.63 liters
ID = 1,400 mm
LengthLc
= 50 mm
t = 11 mm
Design thickness, (at 140 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion
= 3.82*703 / (1,380*1.00 - 0.60*3.82) + 3= 4.95 mm
Maximum allowable working pressure, (at 140 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps= 1,380*1.00*8 / (703 + 0.60*8) - 0.32
= 15.28 bar
Maximum allowable pressure, (at 21.11 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 1,380*1.00*11 / (700 + 0.60*11)= 21.48 bar
External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 4,435.33 / 1,422 = 3.1191Do / t = 1,422 / 3.39 = 419.6194
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From table G: A = 0.000048From table CS-2
Metric:B = 48.1381 kg/cm2 (47.21 bar)
Pa = 4*B / (3*(Do / t))
= 4*47.21 / (3*(1,422 / 3.39))= 0.15 bar
Design thickness for external pressure Pa = 0.15 bar
ta = t + Corrosion = 3.39 + 3 = 6.39mm
Maximum Allowable External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 4,435.33 / 1,422 = 3.1191Do / t = 1,422 / 8 = 177.7442
From table G: A = 0.000176From table CS-2Metric:
B = 177.6831 kg/cm2 (174.2472 bar)
Pa = 4*B / (3*(Do / t))
= 4*174.25 / (3*(1,422 / 8))
= 1.31 bar
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*11 / 705.5)*(1 - 705.5 / ∞)
= 0.7796%
The extreme fiber elongation does not exceed 5%.
Design thickness = 6.39 mm
The governing condition is due to external pressure.
The cylinder thickness of 11 mm is adequate.
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Thickness Required Due to Pressure + External Loads
ConditionPressure P (
bar)
AllowableStress Before
UG-23 StressIncrease (
kg/cm2)
Temperature (°C)
Corrosion C(mm)
LoadReq'd Thk Due to
Tension (mm)Req'd Thk Due to
Compression (mm)
St Sc
Operating, Hot & Corroded 3.5 1,407.2 951.5 140 3Wind 0.82 0.82
Seismic 0.83 0.82
Operating, Hot & New 3.5 1,407.2 1,040.5 140 0Wind 0.81 0.81
Seismic 0.83 0.81
Hot Shut Down, Corroded 0 1,407.2 951.5 140 3Wind 0.07 0.07
Seismic 0.09 0.07
Hot Shut Down, New 0 1,407.2 1,040.5 140 0Wind 0.07 0.07
Seismic 0.09 0.07
Empty, Corroded 0 1,407.2 951.5 21.11 3Wind 0 0
Seismic 0 0
Empty, New 0 1,407.2 1,040.5 21.11 0Wind 0 0
Seismic 0 0
Vacuum -0.15 1,407.2 951.5 140 3Wind 0.04 0.04
Seismic 0.06 0.04
Hot Shut Down, Corroded,Weight & Eccentric MomentsOnly
0 1,407.2 951.5 140 3 Weight 0.09 0.09
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 8)
= 0.001407
B = 951.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScHC = min(B, S) = 951.5 kg/cm2
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 11)
= 0.001934
B = 1,040.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScHN = min(B, S) = 1,040.5 kg/cm2
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 11)
= 0.001934
B = 1,040.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
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ScCN = min(B, S) = 1,040.5 kg/cm2
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 8)
= 0.001407
B = 951.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScCC = min(B, S) = 951.5 kg/cm2
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableCS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (711 / 8)
= 0.001407
B = 951.5 kg/cm2
S = 1,407.2 / 1.00 = 1,407.2 kg/cm2
ScVC = min(B, S) = 951.5 kg/cm2
Operating, Hot & Corroded, Wind, Top Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*703 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.1 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw (total required, tensile)
= 0.74 + 0 - (-0.07)
= 0.82 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (0.74)|
= 0.82 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(8 - 0 + (-0.07)) / (703 - 0.40*(8 - 0 + (-0.07)))
= 37.51 bar
Operating, Hot & New, Wind, Top Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
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= 3.5*700 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.2 / (π*705.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,589.5 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw(total required,
tensile)
= 0.74 + 0 - (-0.07)
= 0.81 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0.07) - (0.74)|
= 0.81 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(11 - 0 + (-0.07)) / (700 - 0.40*(11 - 0 + (-0.07)))
= 52.02 bar
Hot Shut Down, Corroded, Wind, Top Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.1 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (-0.07)
= 0.07 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (0)|
= 0.07 mm
Hot Shut Down, New, Wind, Top Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.2 / (π*705.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,589.5 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= -0.07 mm
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tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (-0.07)
= 0.07 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (-0.07) - (0)|
= 0.07 mm
Empty, Corroded, Wind, Top Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -122.3 / (2*π*707*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0 - (0)
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (0) - (0)|
= 0 mm
Empty, New, Wind, Top Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.1 / (π*705.52*1,380*1.20*1.00) * 98066.5= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -180.8 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)
= 0 mm
tc = |tmc + twc - tpc|(total, net
tensile)= |0 + (0) - (0)|
= 0 mm
Vacuum, Wind, Top Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -0.15*703 / (2*1,380*1.20*1.00 + 0.40*|0.15|)
= -0.03 mm
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tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.1 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tt = tp + tm - tw (total required, tensile)
= -0.03 + 0 - (-0.07)= 0.04 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (-0.03)|
= 0.04 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*933.15*1.20*(8 - 0 - -0.11) / (703 - 0.40*(8 - 0 - -0.11))
= 25.96 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Top Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 0 / (π*7072*1,380*1.00*1.00) * 98066.5
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,580.7 / (2*π*707*1,380*1.00*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0 - (-0.09)
= 0.09 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.09) - (0)|
= 0.09 mm
Operating, Hot & Corroded, Seismic, Top Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*703 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mmtm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)
= 5 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw
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(total required,
tensile)
= 0.74 + 0 - (-0.09)
= 0.83 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc| (total, nettensile)
= |0 + (-0.07) - (0.74)|
= 0.82 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(8 - 0 + (-0.09)) / (703 - 0.40*(8 - 0 + (-0.09)))
= 37.44 bar
Operating, Hot & New, Seismic, Top Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*700 / (2*1,380*1.20*1.00 + 0.40*|3.5|)
= 0.74 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.3 / (π*705.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,589.5 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw (total required, tensile)= 0.74 + 0 - (-0.09)
= 0.83 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,589.5 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (0.74)|
= 0.81 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,380*1.20*1.00*(11 - 0 + (-0.09)) / (700 - 0.40*(11 - 0 + (-0.09)))
= 51.94 bar
Hot Shut Down, Corroded, Seismic, Top Seam
tp = 0 mm (Pressure)
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tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw(total required,
tensile)= 0 + 0 - (-0.09)
= 0.09 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0.07) - (0)|
= 0.07 mm
Hot Shut Down, New, Seismic, Top Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5.3 / (π*705.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,589.5 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (-0.09)= 0.09 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,589.5 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0.07) - (0)|
= 0.07 mm
Empty, Corroded, Seismic, Top Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 1.5 / (π*7072*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-122.3 / (2*π*707*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw
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(total required,
tensile)
= 0 + 0 - (0)
= 0 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -122.3 / (2*π*707*1,380*1.20*1.00) * 98.0665
= 0 mm
tc = |tmc + twc - tpc| (total, nettensile)
= |0 + (0) - (0)|
= 0 mm
Empty, New, Seismic, Top Seam
tp = 0 mm (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 2.1 / (π*705.52*1,380*1.20*1.00) * 98066.5
= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 1.20*-180.8 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= 0 mm
tt = tp + tm - tw(total required,
tensile)
= 0 + 0 - (0)
= 0 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -180.8 / (2*π*705.5*1,380*1.20*1.00) * 98.0665
= 0 mm
tc = |tmc + twc - tpc| (total, nettensile)
= |0 + (0) - (0)|
= 0 mm
Vacuum, Seismic, Top Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -0.15*703 / (2*1,380*1.20*1.00 + 0.40*|0.15|)
= -0.03 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5 / (π*707
2
*1,380*1.20*1.00) * 98066.5= 0 mm
tw = (1 + VAccel)*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.20*-5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.09 mm
tt = tp + tm - tw(total required,
tensile)
= -0.03 + 0 - (-0.09)
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= 0.06 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= -5,580.7 / (2*π*707*1,380*1.20*1.00) * 98.0665
= -0.07 mm
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (-0.07) - (-0.03)|
= 0.04 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*933.15*1.20*(8 - 0 - -0.11) / (703 - 0.40*(8 - 0 - -0.11))
= 25.96 bar
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Ellipsoidal Head #2
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D Metric p.18, ln. 19)
Straight Flange governs MDMT
Internal design pressure: P = 3.5 bar @ 140 °CExternal design pressure: Pe = 0.15 bar @ 140 °C
Static liquid head:
Ps= 0.36 bar (SG=1.071, Hs=3403 mm Operating head)Pth= 0.14 bar (SG=1, Hs=1400 mm Horizontal test head)
Corrosion allowance: Inner C = 3 mm Outer C = 0 mm
Design MDMT = -5°C No impact test performedRated MDMT = -105°C Material is not normalized
Material is not produced to fine grain practice
PWHT is not performedDo not Optimize MDMT / Find MAWP
Radiography: Category A joints - Seamless No RTHead to shell seam - Full UW-11(a) Type 1
Estimated weight*: new = 180.8 kg corr = 122.3 kgCapacity*: new = 436.2 liters corr = 443 liters
* includes straight flange
Inner diameter = 1400 mmMinimum head thickness = 9 mmHead ratio D/2h = 2 (new)
Head ratio D/2h = 1.9915 (corroded)Straight flange length Lsf = 50 mm
Nominal straight flange thickness tsf = 11 mm
Results Summary
The governing condition is internal pressure.
Minimum thickness per UG-16 = 1.5 mm + 3 mm = 4.5 mmDesign thickness due to internal pressure (t) = 4.96 mm
Design thickness due to external pressure (te) = 4.39 mmMaximum allowable working pressure (MAWP) = 11.48 bar
Maximum allowable pressure (MAP) = 17.72 bar
Maximum allowable external pressure (MAEP) = 2.82 bar
K (Corroded)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (1,406 / (2*353))2]=0.994347
K (New)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (1,400 / (2*350))2]=1
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Design thickness for internal pressure, (Corroded at 140 °C) Appendix 1-4(c)
t = P*D*K / (2*S*E - 0.2*P) + Corrosion= 3.86*1,406*0.994347 / (2*1,380*1 - 0.2*3.86) + 3= 4.95 mm
The head internal pressure design thickness is 4.96 mm.
Maximum allowable working pressure, (Corroded at 140 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*1,380*1*6 / (0.994347*1,406 +0.2*6) - 0.36
= 11.48 bar
The maximum allowable working pressure (MAWP) is 11.48 bar.
Maximum allowable pressure, (New at 21.11 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*1,380*1*9 / (1*1,400 +0.2*9) - 0= 17.72 bar
The maximum allowable pressure (MAP) is 17.72 bar.
Design thickness for external pressure, (Corroded at 140 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8887*1,418= 1,260.2 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,260.2 / 1.39)= 0.000138
From Table CS-2Metric:
B = 138.7052 kgf /cm2
Pa = B / (Ro / t)
= 136.0234 / (1,260.2 / 1.39)= 0.15 bar
t = 1.39 mm + Corrosion = 1.39 mm + 3 mm = 4.39 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c)
t = 1.67*Pe*D*K / (2*S*E - 0.2*1.67*Pe) + Corrosion
= 1.67*0.15*1,406*0.994347 / (2*1,380*1 - 0.2*1.67*0.15) + 3
= 3.13 mm
The head external pressure design thickness (te) is 4.39 mm.
Maximum Allowable External Pressure, (Corroded at 140 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8887*1,418
= 1,260.2 mm
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A = 0.125 / (Ro / t)
= 0.125 / (1,260.2 / 6)= 0.000595
From Table CS-2Metric:
B = 603.0223 kgf /cm2
Pa = B / (Ro / t)
= 591.3634 / (1,260.2 / 6)= 2.8157 bar
Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c)
P = 2*S*E*t / ((K*D + 0.2*t)*1.67) - Ps2= 2*1,380*1*6 / ((0.994347*1,406 +0.2*6)*1.67) - 0= 7.09 bar
The maximum allowable external pressure (MAEP) is 2.82 bar.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / Rf)*(1 - Rf / Ro)
= (75*11 / 243.5)*(1 - 243.5 / ∞)
= 3.3881%
The extreme fiber elongation does not exceed 5%.
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Legs #1
Leg material: SA 36Leg description: 5x5x1/2 Equal Angle (Leg in)Number of legs: N = 4
Overall length: 2,000 mmBase to girth seam length: 1,500 mm
Pad length: 520 mmPad width: 200 mm
Pad thickness: 9 mmBolt circle: 1,386 mmAnchor bolt size: 30 mm
Anchor bolt material: ASTM F1554 GR.55Anchor bolts/leg: 1
Anchor bolt allowable stress: Sb = 1,699.999 kgf /cm2
Anchor bolt corrosion allowance: 0 mm
Anchor bolt hole clearance: 9.53 mmBase plate width: 200 mmBase plate length: 200 mm
Base plate thickness: 14 mm (11.39 mm required)Base plate allowable stress: 1,407.099 kgf /cm
2
Foundation allowable bearing stress: 116.569 kgf /cm2
Effective length coefficient: K = 1.2Coefficient: Cm = 0.85Leg yield stress: Fy = 2,549.308 kgf /cm
2
Leg elastic modulus: E = 2,038,900.1kgf /cm2
Leg to pad fillet weld: 6.35 mm (0.71 mm required)Pad to shell fillet weld: 6 mm (0.52 mm required)
Legs braced: No
Note: The support attachment point is assumed to be 25.4 mm up from the cylinder circumferential seam.
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LoadingForceattack
angle °
Legposition °
Axialend load
kgf
Shearresisted
kgf
Axialfa
kgf/cm2
Bendingfbx
kgf/cm2
Bendingfby
kgf/cm2
RatioH1-1
RatioH1-2
Windoperating
corroded
Moment =887.1 kgf-m
0
0 1,021.7 44.2 33.34 212.844 0 0.1403 0.1483
90 1,639.5 171.1 53.498 125.439 314.653 0.2747 0.2965
180 2,257.2 44.2 73.656 307.374 0 0.2315 0.2308
270 1,639.5 171.1 53.498 125.439 314.653 0.2747 0.2965
45
0 1,021.7 107.6 33.34 310.148 139.977 0.2623 0.2893
90 1,021.7 107.6 33.34 310.148 139.977 0.2623 0.2893
180 2,257.2 107.6 73.656 404.677 139.977 0.3562 0.3719
270 2,257.2 107.6 73.656 404.677 139.977 0.3562 0.3719
LoadingForceattack
angle °
Legposition °
Axialend load
kgf
Shearresisted
kgf
Axialfa
kgf/cm2
Bendingfbx
kgf/cm2
Bendingfby
kgf/cm2
RatioH1-1
RatioH1-2
Windoperating
new
Moment =
888.7 kgf-m
0
0 1,143.5 44.3 37.316 222.414 0 0.1492 0.1566
90 1,762.4 171.4 57.511 134.848 315.234 0.2840 0.3051
180 2,381.3 44.3 77.706 317.118 0 0.2410 0.2393
270 1,762.4 171.4 57.511 134.848 315.234 0.2840 0.3051
45
0 1,143.5 107.8 37.316 319.898 140.236 0.2717 0.2979
90 1,143.5 107.8 37.316 319.898 140.236 0.2717 0.2979
180 2,381.3 107.8 77.706 414.602 140.236 0.3663 0.3806
270 2,381.3 107.8 77.706 414.602 140.236 0.3663 0.3806
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LoadingForceattack
angle °
Legposition °
Axialend load
kgf
Shearresisted
kgf
Axialfa
kgf/cm2
Bendingfbx
kgf/cm2
Bendingfby
kgf/cm2
RatioH1-1
RatioH1-2
Windempty
corroded
Moment =869.2 kgf-m
0
0 -330.5 43.3 -10.783 157.244 0 0.0692 0.0864
90 274.9 167.6 8.969 21.03 308.322 0.1747 0.2016
180 880.2 43.3 28.721 199.304 0 0.1287 0.1372
270 274.9 167.6 8.969 21.03 308.322 0.1747 0.2016
45
0 -330.5 105.4 -10.783 252.589 137.161 0.1860 0.2246
90 -330.5 105.4 -10.783 252.589 137.161 0.1860 0.2246
180 880.2 105.4 28.721 294.65 137.161 0.2480 0.2754
270 880.2 105.4 28.721 294.65 137.161 0.2480 0.2754
LoadingForceattack
angle °
Legposition °
Axialend load
kgf
Shearresisted
kgf
Axialfa
kgf/cm2
Bendingfbx
kgf/cm2
Bendingfby
kgf/cm2
RatioH1-1
RatioH1-2
Windempty
new
Moment =
871.4 kgf-m
0
0 -196.5 43.4 -6.413 147.322 0 0.0683 0.0834
90 410.3 168.0 13.388 31.391 309.081 0.1845 0.2111
180 1,017.1 43.4 33.189 210.104 0 0.1387 0.1466
270 410.3 168.0 13.388 31.391 309.081 0.1845 0.2111
45
0 -196.5 105.7 -6.413 242.903 137.499 0.1857 0.2219
90 -196.5 105.7 -6.413 242.903 137.499 0.1857 0.2219
180 1,017.1 105.7 33.189 305.685 137.499 0.2585 0.2851
270 1,017.1 105.7 33.189 305.685 137.499 0.2585 0.2851
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LoadingForceattack
angle °
Legposition °
Axialend load
kgf
Shearresisted
kgf
Axia