LEG-2000 HT - Div 1.pdf

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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

    18/86

  • 8/18/2019 LEG-2000 HT - Div 1.pdf

    21/88

    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

    19/86

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    22/88

    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

    20/86

  • 8/18/2019 LEG-2000 HT - Div 1.pdf

    23/88

    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

    21/86

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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

    22/86

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    25/88

    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)

    23/86

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    26/88

    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

    24/86

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    27/88

    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

    25/86

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    28/88

    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)

    26/86

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    29/88

    = 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

    27/86

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    30/88

    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