11534 Réservoir D'Eau 6800L

7/23/2019 11534 Réservoir D'Eau 6800L

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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 ContentsGeneral Arrangement Drawing................................................................................................................................1/69

Deficiencies Summary..............................................................................................................................................2/69

Pressure Summary...................................................................................................................................................3/69

Revision History........................................................................................................................................................4/69

Settings Summary.....................................................................................................................................................5/69

Radiography Summary.............................................................................................................................................7/69

Thickness Summary.................................................................................................................................................8/69

Weight Summary.......................................................................................................................................................9/69

Long Seam Summary.............................................................................................................................................10/69

Hydrostatic Test......................................................................................................................................................12/69

Vacuum Summary...................................................................................................................................................13/69

Liquid Level bounded by Bottom of vessel..........................................................................................................14/69

Transition #1............................................................................................................................................................15/69

Cylinder #1...............................................................................................................................................................26/69

Cylinder #2...............................................................................................................................................................34/69

Legs #1.....................................................................................................................................................................47/69

Transition #2............................................................................................................................................................55/69

Seismic Code...........................................................................................................................................................66/69

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General Arrangement Drawing

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Deficiencies Summary

Deficiencies for Transition #1Transition calculations cannot be completed until a component is attached to the small end of the cone (or thediscontinuity is eliminated).

The half apex angle is greater than 30 degrees. This results in UW-3 Category B weld joints being UW-12 type 8. Auser defined joint efficiency should be used.

Deficiencies for Transition #2

Transition calculations cannot be completed until a component is attached to the small end of the cone (or thediscontinuity is eliminated).The half apex angle is greater than 30 degrees. This results in UW-3 Category B weld joints being UW-12 type 8. A

user defined joint efficiency should be used.

Warnings Summary

Warnings for Cylinder #1Do/t > 1000 which is outside of ASME code range. U-2(g) analysis performed. (warning)

Warnings for Cylinder #2Do/t > 1000 which is outside of ASME code range. U-2(g) analysis performed. (warning)

Warnings for Legs #1WRC 107: Rm / t > 300 (ratio not covered by WRC 107; Rm / t = 300 used which may be unconservative) (warning)

Warnings for Vessel

The vessel does not have a bottom closure (head or cover). (warning)The vessel does not have a top closure (head or cover). (warning)

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Pressure Summary

Component Summary

Identifier

P

Design

(psi)

T

Design

(°F)

MAWP

(psi)

MAP

(psi)

MDMT

(°F)

MDMT

Exemption

Impact

Tested

Transition #1 0 200 2,83 3,19 -320 Note 1 No

Cylinder #1 0 200 17,63 19,73 -320 Note 2 No

Cylinder #2 0 200 15,9 19,73 -320 Note 3 No

Transition #2 0 200 2,39 6,38 -320 Note 4 No

Legs #1 0 200 0 N/A N/A N/A N/A

Chamber Summary

Design MDMT -20 °F

Rated MDMT -320 °F @ 0 psi

MAWP hot & corroded 0 psi @ 200 °F

MAP cold & new 3,19 psi @ 70 °F

(1) This pressure chamber is not designed

for external pressure.

Notes for MDMT Rating

Note # Exemption Details

1. Impact test exempt per UHA-51(g) (coincident ratio = 0,0843)



4. Rated MDMT per UHA-51(d)(1)(a), (carbon content does not exceed 0,10%) = -320°F

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Revision History

Revisions

No. Date Operator Notes

0 12/11/2015 mnmeil New vessel created ASME Section VIII Division 1 [COMPRESS 2015 Build 7500]

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Settings Summary

COMPRESS 2015 Build 7500

ASME Section VIII Division 1, 2013 Edition

Units U.S. Customary

Datum Line Location 0,00" from bottom seam

Vessel Design Mode Get Thickness from Pressure

Minimum thickness 0,0625" per UG-16(b)

Design for cold shut down only No

Design for lethal service (full radiography required) No

Design nozzles forDesign P, find nozzle MAWP andMAP

Corrosion weight loss 100% of theoretical loss

UG-23 Stress Increase 1,20

Skirt/legs stress increase 1,0Minimum nozzle projection 6"

Juncture calculations for α > 30 only Yes

Preheat P-No 1 Materials > 1,25" and <= 1,50" thick No

UG-37(a) shell tr calculation considers longitudinal stress No

Cylindrical shells made from pipe are entered as minimum thickness No

Nozzles made from pipe are entered as minimum thickness No

Pipe caps are entered as minimum thickness No

Butt welds Tapered per Figure UCS-66.3(a)

Disallow Appendix 1-5, 1-8 calculations under 15 psi No

Hydro/Pneumatic Test

Shop Hydrotest Pressure 1,3 times vessel MAWP

Test liquid specific gravity 1,00

Maximum stress during test 90% of yield

Required Marking - UG-116

UG-116(e) Radiography None

UG-116(f) Postweld heat treatment None

Code Cases\Interpretations

Use Code Case 2547 No

Use Code Case 2695 No

Apply interpretation VIII-1-83-66 Yes


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No UCS-66.1 MDMT reduction No

No UCS-68(c) MDMT reduction No

Disallow UG-20(f) exemptions No

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 testconditions

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 No

UG-22(f) Seismic reactions Yes

UG-22(j) Test pressure and coincident static head acting during the test: No

Note: UG-22(b),(c) and (f) loads only considered when supports are present.

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Radiography Summary

UG-116 Radiography

ComponentLongitudinal Seam Top Circumferential Seam Bottom Circumferential Seam

MarkCategory

(Fig UW-3)Radiography / Joint Type

Category(Fig UW-3)

Radiography / Joint TypeCategory

(Fig UW-3)Radiography / Joint Type

Transition #1 A None UW-11(c) / Type 1 B N/A / Type 8 B None UW-11(c) / Type 1 None

Cylinder #1 A None UW-11(c) / Type 1 B None UW-11(c) / Type 1 B None UW-11(c) / Type 1 None

Cylinder #2 A None UW-11(c) / Type 1 B None UW-11(c) / Type 1 B None UW-11(c) / Type 1 None

Transition #2 A None UW-11(c) / Type 1 B None UW-11(c) / Type 1 B N/A / Type 8 None

UG-116(e) Required Marking: None

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Thickness Summary

Component Data

Component

IdentifierMaterial Diameter

(in)

Length

(in)

Nominal t

(in)

Design t

(in)

Total Corrosion

(in)

Joint

ELoad

Transition #1 SA-240 304L 3 / 74 ID 10 0,0625 0,0065 0 0,70 External

Knuckle of Transition #1 SA-240 304L 74 -- 0,0625 0,0071 0 -- Internal

Cylinder #1 SA-240 304L 74 ID 48 0,0625 0,0067 0 0,70 Internal

Cylinder #2 SA-240 304L 74 ID 48 0,0625 0,0122 0 0,70 Internal

Transition #2 SA-240 304L 3 / 74 ID 10 0,125 0,0653 0 0,70 Internal

Knuckle of Transition #2 SA-240 304L 74 -- 0,125 0,0781 0 -- Internal

Definitions

Nominal t Vessel wall nominal thickness

Design t Required vessel thickness due to governing loading + corrosion

Joint E Longitudinal seam joint efficiency

Load

Internal Circumferential stress due to internal pressure governs

External External pressure governs

WindCombined longitudinal stress of pressure + weight + wind

governs

SeismicCombined longitudinal stress of pressure + weight + seismicgoverns

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Weight Summary

Weight (lb) Contributed by Vessel Elements

Component Metal

New*

Metal

CorrodedInsulation

Insulation

SupportsLining

Piping

+ Liquid

Operating Liquid Test LiquidSurface Area

ft2New Corroded New Corroded

Transition #1 88,9 88,9 0 0 0 0 894,5 894,5 894,5 894,5 34

Cylinder #1 202,4 202,4 0 0 0 0 7 451,9 7 451,9 7 451,9 7 451,9 78

Cylinder #2 202,4 202,4 0 0 0 0 7 451,9 7 451,9 7 451,9 7 451,9 78

Transition #2 177,7 177,7 0 0 0 0 894,7 894,7 894,7 894,7 34

Legs #1 97,7 97,7 0 0 0 0 0 0 0 0 12

TOTAL: 769,1 769,1 0 0 0 0 16 693 16 693 16 693 16 693 235

*Shells with attached nozzles have weight reduced by material cut out for opening.

Weight (lb) Contributed by Attachments

ComponentBody Flanges

Nozzles &

FlangesPackedBeds

Ladders &

PlatformsTrays

TraySupports

Rings &Clips

VerticalLoads

Surface

Areaft2

New Corroded New Corroded

Transition #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

Cylinder #2 0 0 0 0 0 0 0 0 0 0 0

Transition #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 Totals

New Corroded

Operating Weight (lb) 17 462 17 462

Empty Weight (lb) 769 769

Test Weight (lb) 17 462 17 462

Surface Area (ft2) 235 -

Capacity** (US gal) 2 002 2 002

**The vessel capacity does not includevolume of nozzle, piping or otherattachments.

Vessel Lift Condition

Vessel Lift Weight, New (lb) 769

Center of Gravity from Datum (in) 44,4632

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Long Seam Summary

Shell Long Seam

Angles

Component Seam 1

Transition #1 0°

Cylinder #1 30°

Cylinder #2 0°

Transition #2 30°

Shell Plate Lengths

ComponentStartingAngle

Plate 1

Transition #1 0° 232,6742"

Cylinder #1 30° 232,6742"

Cylinder #2 0° 232,6742"

Transition #2 30° 232,8706"

Notes

1) Plate Lengths use the circumference of the vessel based on the mid diameter of the components.

2) North is located at 0°

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Shell Rollout

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Hydrostatic Test

Horizontal shop hydrostatic test based on MAWP per UG-99(b)

Gauge pressure at 70°F=1,3*MAWP*LSR

= 1,3*0*1= 0 psi

Horizontal shop hydrostatic test

IdentifierLocal testpressure

(psi)

Test liquidstatic head

(psi)

UG-99(b)stress

ratio

UG-99(b)pressure

factor

Transition #1 (1) 2,673 2,671 1 1,30

Cylinder #1 2,673 2,671 1 1,30

Cylinder #2 2,673 2,671 1 1,30

Transition #2 2,673 2,671 1 1,30

(1) Transition #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-most flange.

The field test condition has not been investigated.

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Vacuum Summary

Largest Unsupported Length Le

Component Line of Support

Elevation

above Datum

(in)

Length Le

(in)

Transition #1 Top - 116 2,9344

- Transition #1 Top 116 2,9344

- Transition #1 Bottom 106 2,9344

Transition #1 Bottom - 106 2,9344

Cylinder #1 Top - 106 96

Cylinder #1 Bottom - 58 96

Cylinder #2 Top - 58 96

Cylinder #2 Bottom - 10 96

Transition #2 Top - 10 2,9315

- Transition #2 Top 10 2,9315

- Transition #2 Bottom 0 2,9315

Transition #2 Bottom - 0 2,9315

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Liquid Level bounded by Bottom of vessel


Location from Datum (in) 116

Operating Liquid Specific Gravity 1

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Transition #1


Component Cone

Material SA-240 304L (II-D p. 86, ln. 43)

ImpactTested

NormalizedFine GrainPractice

PWHTOptimize MDMT/

Find MAWP

No No No No No

DesignPressure (psi)

DesignTemperature (°F)

DesignMDMT (°F)

Internal 0 200-20

External 0 200

Static Liquid Head

Condition Ps (psi) Hs (in) SG

OperatingLarge 0,36 10

1

Small 0 0

Test horizontalLarge 2,67 74

1

Small 1,39 38,5

Dimensions

Inner DiameterLarge 74"

Small 3"

Length 10"

Nominal Thickness 0,0625"

CorrosionInner 0"

Outer 0"

KnuckleThickness tkl 0,0625"

Radius r1 4,4475"

Weight and Capacity

Weight (lb) Capacity (US gal)

New 88,95 107,28

Corroded 88,95 107,28

Radiography

Longitudinal seam None UW-11(c) Type 1

Top Circumferential seam None UW-11(c) Type 1

Bottom Circumferential seam None UW-11(c) Type 1

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Results Summary

Governing condition UG-16

Minimum thickness per UG-16 0,0625" + 0" = 0,0625"

Design thickness due to internal pressure (t) 0,0071"

Design thickness due to external pressure (te) 0,0065"

Design thickness due to combined loadings + corrosion 0,0039"

Maximum allowable working pressure (MAWP) 2,83 psi

Maximum allowable pressure (MAP) 3,19 psi

Maximum allowable external pressure (MAEP) 0 psi

Rated MDMT -320 °F

UHA-51 Material Toughness Requirements

tr = 0,36*74 / (2*0,1739*(16 700*0,7 - 0.6*0,36)) = 0,0066"

Stress ratio = tr*E* / (tn - c) = 0,0066*0,8 / (0,0625 - 0) = 0,0843

Impact test exempt per UHA-51(g) (coincident ratio = 0,0843)

Rated MDMT = -320°F

Material is exempt from impact testing at the Design MDMT of -20°F.

Design thickness, (at 200 °F) UG-32(h) (Large End)

Di = D - 2*r*(1 - cos(α))= 74 - 2*4,4475*(1 - cos(79,9852))= 66,6519"

t = P*Di / (2*cos(α)*(S*E - 0,60*P)) + Corrosion= 0,2*66,6519 / (2*cos(79,9852)*(16 700*0,70 - 0,60*0,2)) + 0= 0,0033"

Design thickness, (at 200 °F) Appendix 1-4(d) (Knuckle)

L = Di / (2*cos(α))

= 66,6519 / (2*cos(79,9852))= 191,635"

M = 0,25*(3 + Sqr(L / r))

= 0,25*(3 + Sqr(191,635 / 4,4475))= 2,391

tk = P*L*M / (2*S*E - 0,20*P) + Corrosion= 0,36*191,635*2,391 / (2*16 700*0,70 - 0,20*0,36) + 0

= 0,0071"Small End design thickness (t = 0") does not govern.

Maximum allowable working pressure, (Corroded at 200 °F) UG-32(h)

P = 2*S*E*t*cos(α) / (Di + 1,20*t*cos(α)) - Pskl

=2*16 700*0,70*0,0625*cos(79,9852) / (66,6519 + 1,20*0,0625*cos(79,9852))

- 0,2

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= 3,61 psi

Maximum allowable working pressure, (Corroded at 200 °F) App 1-4(d) (Knuckle)

P = 2*S*E*tk / (L*M + 0,20*tk) - Ps

=2*16 700*0,70*0,0625 / (191,635*2,391 + 0,20*0,0625) -0,36

= 2,83 psi

Small End MAWP (84,34 psi) does not govern.

Maximum allowable pressure, (New at 70 °F) UG-32(h)

P = 2*S*E*t*cos(α) / (Di + 1,20*t*cos(α))

=2*16 700*0,70*0,0625*cos(79,9852) / (66,6519 +1,20*0,0625*cos(79,9852))

= 3,81 psi

Maximum allowable pressure, (New at 70 °F) App 1-4(d) (Knuckle)

P = 2*S*E*tk / (L*M + 0,20*tk)

=

2*16 700*0,70*0,0625 /

(191,635*2,391 + 0,20*0,0625)= 3,19 psi

Small End MAP (84,34 psi) does not govern.

External Pressure, (Corroded & at 200 °F) UG-33(f)(2)

C = 0,13

t = Do*Sqr(C*Pe / Se) + Corrosion= 74,125*Sqr(0,13*0 / 16700) + 0

= 0,0065"

% Forming strain - UHA-44(a)(2)

EFE = (50*t / Rf)*(1 - Rf / Ro)

= (50*0,3594 / 1,6797)*(1 - 1,6797 / infinity)

= 10,6982%

External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)

Pv = [(1 + 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)] / cos(α)

= [1,01*88,9 / (2*π*37,0313) + 39 / (π*37,03132)] / cos(79,9852) = 2,2828 lb/in

α = Pv / (Pe*Do) = 2,2828 / (0*74,125)

= 30,7963n = 30

m = 1,23 / (L / Do)2

= 1,23 / (2,9344 / 74,125)2

= 784,8765

Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (302 - 1 + 784,8765 + 784,8765*30,7963) / (302 - 1 + 784,8765)

= 15,3545

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Ratio Pe * Pe ≤ MAEP

(15,3545 * 0 = 0,02) ≤ 0,09

Transition design thickness is satisfactory.

Thickness Required Due to Pressure + External Loads

ConditionPressure P (

psi)

AllowableStress Before

UG-23 StressIncrease (

psi)

Temperature (°F)

Corrosion C(in)

Location LoadReq'd Thk Due to

Tension (in)

Req'd Thk Due

toCompression

(in)

St Sc

Operating, Hot & Corroded 0 16 700 504 200 0Top Seismic 0 0

Bottom Seismic 0,0019 0,0036

Operating, Hot & New 0 16 700 504 200 0Top Seismic 0 0


Hot Shut Down, Corroded 0 16 700 504 200 0Top Seismic 0 0


Hot Shut Down, New 0 16 700 504 200 0Top Seismic 0 0


Empty, Corroded 0 16 700 525 70 0Top Seismic 0 0


Empty, New 0 16 700 525 70 0Top Seismic 0 0


Vacuum 0 16 700 504 200 0Top Seismic 0 0


Hot Shut Down, Corroded,

Weight & Eccentric MomentsOnly

0 16 700 504 200 0

Top Weight 0 0

Bottom Weight 0 0

Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3)A = 0,125 / (Ro / te)

= 0,125 / (37,0625 / 0,0109)= 0,000037B = 504 psi

S = 16 700 / 1,00 = 16 700 psiScHC = min(B, S) = 504 psi

Allowable Compressive Stress, Hot and New- ScHN

ScHN = ScHC

= 504,2549 psi

Allowable Compressive Stress, Cold and New- ScCN, (table HA-3)

A = 0,125 / (Ro / te)= 0,125 / (37,0625 / 0,0109)

= 0,000037

B = 525 psiS = 16 700 / 1,00 = 16 700 psiScCN = min(B, S) = 525 psiAllowable Compressive Stress, Cold and Corroded- ScCC

ScCC = ScCN

= 524,7357 psi

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Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableHA-3)

A = 0,125 / (Ro / te)= 0,125 / (37,0625 / 0,0109)= 0,000037

B = 504 psiS = 16 700 / 1,00 = 16 700 psi

ScVC = min(B, S) = 504 psi

Operating, Hot & Corroded, Seismic, Top Seam

tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)

= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]= 0"

tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)

= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]

= 0"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)

= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]= 0"

tt = tp + tm - tw

(total

required,

tensile)= 0 + 0 - (0)= 0"

tc = |tmc + twc - tpc|(total, nettensile)

= |0 + (0) - (0)|

= 0"

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,00*0,70*(0,0625 - 0 + (0)) / ((1,5 - 0,40*(0,0625 - 0 + (0)))*cos(79,9852))= 5 696,72 psi

Operating, Hot & New, Seismic, Top Seam


= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]= 0"


= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]= 0"

tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]

= 0"

tt = tp + tm - tw(totalrequired,

tensile)= 0 + 0 - (0)

= 0"

tc = |tmc + twc - tpc|(total, net

tensile)= |0 + (0) - (0)|= 0"

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P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,00*0,70*(0,0625 - 0 + (0)) / ((1,5 - 0,40*(0,0625 - 0 + (0)))*cos(79,9852))= 5 696,72 psi

Hot Shut Down, Corroded, Seismic, Top Seam

tp = 0" (Pressure)

tm = M / [(π*Rm2

*St*Ks*Ec)*cos(α)] (bending)= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]= 0"


= 0"

tt = tp + tm - tw(total required,

tensile)= 0 + 0 - (0)

= 0"

tc = tmc + twc - tpc

(total required,compressive)

= 0 + (0) - (0)

= 0"

Hot Shut Down, New, Seismic, Top Seam

tp = 0" (Pressure)tm = M / [(π*Rm

2*St*Ks*Ec)*cos(α)] (bending)

= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]= 0"


= 0"

tt = tp + tm - tw(total required,tensile)

= 0 + 0 - (0)= 0"



= 0 + (0) - (0)= 0"

Empty, Corroded, Seismic, Top Seam



= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]


= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]= 0"


= 0 + 0 - (0)= 0"


(total required,

compressive)

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= 0 + (0) - (0)= 0"

Empty, New, Seismic, Top Seam



= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]= 0"

tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]= 0"


= 0 + 0 - (0)= 0"



= 0 + (0) - (0)= 0"

Vacuum, Seismic, Top Seam

tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]

= 0"tm = M / [(π*Rm

2*St*Ks*Ec)*cos(α)] (bending)= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]


= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]= 0"


= 0 + 0 - (0)

= 0"tpc = P*R / [(2*Sc*Ks + 0,40*|P|)*cos(α)] (Pressure)

= 0*1,5 / [(2*504,25*1,00 + 0,40*|0|)*cos(79,9852)]= 0"



= 0 + (0) - (0)

= 0"

Maximum Allowable External Pressure, Longitudinal Stress

P = 2*Sc*Ks*(t - tmc - twc) / ((R - 0,40*(t - tmc - twc))*cos(α))

= 2*504,25*1,00*(0,0625 - 0 - 0) / ((1,5 - 0,40*(0,0625 - 0 - 0))*cos(79,9852))= 245,73 psi

Operating, Hot & Corroded, Seismic, Bottom Seam

tp = P*R / [(2*Sc*Ks + 0,40*|P|)*cos(α)] (Pressure)

= 0*37 / [(2*504,25*1,20 + 0,40*|0|)*cos(79,9852)]= 0,0002"

tm = M / [(π*Rm2*Sc*Ks)*cos(α)] (bending)

= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]

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= 0,0001"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)

=0,59*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]

= 0,0021"

tt = |tp + tm - tw| (total, net compressive)= |0,0002 + 0,0001 - (0,0021)|

= 0,0019"twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)

= 1,01*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]

= 0,0037"



= 0,0001 + (0,0037) - (0,0002)= 0,0036"


P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,20*0,70*(0,0625 - 0 + (0,0001)) / ((37 - 0,40*(0,0625 - 0 + (0,0001)))*cos(79,9852))

= 273,09 psi

Operating, Hot & New, Seismic, Bottom Seam

tp = P*R / [(2*Sc*Ks + 0,40*|P|)*cos(α)] (Pressure)= 0*37 / [(2*504,25*1,20 + 0,40*|0|)*cos(79,9852)]= 0,0002"


= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]

= 0,0001"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)

=0,59*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]

= 0,0021"

tt = |tp + tm - tw| (total, net compressive)= |0,0002 + 0,0001 - (0,0021)|


=1,01*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]

= 0,0037"



= 0,0001 + (0,0037) - (0,0002)= 0,0036"


P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,20*0,70*(0,0625 - 0 + (0,0001)) / ((37 - 0,40*(0,0625 - 0 + (0,0001)))*cos(79,9852))

= 273,09 psi

Hot Shut Down, Corroded, Seismic, Bottom Seam

tp = 0" (Pressure)


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= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]= 0,0001"

tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)

=0,59*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]

= 0,0021"tt = |tp + tm - tw| (total, net compressive)

= |0 + 0,0001 - (0,0021)|= 0,002"

twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)=

1,01*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]

= 0,0037"


(total required,

compressive)= 0,0001 + (0,0037) - (0)

= 0,0038"

Hot Shut Down, New, Seismic, Bottom Seam

tp = 0" (Pressure)


= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]= 0,0001"


=0,59*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]

= 0,0021"

tt = |tp + tm - tw| (total, net compressive)= |0 + 0,0001 - (0,0021)|


=1,01*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]

= 0,0037"



= 0,0001 + (0,0037) - (0)= 0,0038"

Empty, Corroded, Seismic, Bottom Seam


2*Sc*Ks)*cos(α)] (bending)

= 7 / [(π*37,03132*524,74*1,20)*cos(79,9852)]= 0"


= 0,59*88,9 / [(2*π*37,0313*524,74*1,20)*cos(79,9852)]


= |0 + 0 - (0,002)|= 0,002"

twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)

=1,01*88,9 / [(2*π*37,0313*524,74*1,20)*cos(79,9852)]

= 0,0035"

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tc = tmc + twc - tpc (total required,compressive)

= 0 + (0,0035) - (0)= 0,0036"

Empty, New, Seismic, Bottom Seam


2*Sc*Ks)*cos(α)] (bending)

= 7 / [(π*37,03132

*524,74*1,20)*cos(79,9852)]= 0"


=0,59*88,9 / [(2*π*37,0313*524,74*1,20)*cos(79,9852)]


= |0 + 0 - (0,002)|= 0,002"


=1,01*88,9 / [(2*π*37,0313*524,74*1,20)*cos(79,9852)]

= 0,0035"

tc = tmc + twc - tpc(total required,compressive)

= 0 + (0,0035) - (0)

= 0,0036"

Vacuum, Seismic, Bottom Seam

tp = P*R / [(2*Sc*Ks + 0,40*|P|)*cos(α)] (Pressure)

= 0*37 / [(2*504,25*1,20 + 0,40*|0|)*cos(79,9852)]= -0,0002"


= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]= 0,0001"


=0,59*88,9 /

[(2*π*37,0313*504,25*1,20)*cos(79,9852)]= 0,0021"

tt = |tp + tm - tw| (total, net compressive)= |-0,0002 + 0,0001 - (0,0021)|= 0,0022"


=1,01*88,9 /

[(2*π*37,0313*504,25*1,20)*cos(79,9852)]= 0,0037"


(total required,

compressive)= 0,0001 + (0,0037) - (-0,0002)

= 0,0039"


P = 2*Sc*Ks*(t - tmc - twc) / ((R - 0,40*(t - tmc - twc))*cos(α))= 2*504,25*1,20*(0,0625 - 0,0001 - 0,0037) / ((37 - 0,40*(0,0625 - 0,0001 - 0,0037))*cos(79,9852))= 11,05 psi

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Appendix 1-5 calculations are not required for the transition large end as a knuckle is present.

Appendix 1-8(b)(2) reinforcement calculations are not required for the transition large end as a knuckle is present.

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Cylinder #1


Component Cylinder


ImpactTested


PWHTOptimize MDMT/

Find MAWP

No No No No No



DesignMDMT (°F)

Internal 0 200-20

External 0 200

Static Liquid Head


Operating 2,09 58 1

Test horizontal 2,67 74 1

Dimensions

Inner Diameter 74"

Length 48"


CorrosionInner 0"

Outer 0"

Weight and Capacity


New 202,43 893,68

Corroded 202,43 893,68

Radiography


Top Circumferential

seamNone UW-11(c) Type 1

Bottom Circumferential

seam None UW-11(c) Type 1

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Results Summary








Maximum allowable external pressure (MAEP) 0,38 psi

Rated MDMT -320 °F


tr = 2,09*37 / (16 700*0,7 - 0.6*2,09) = 0,0066"





Design thickness, (at 200 °F) UG-27(c)(1)

t = P*R / (S*E - 0,60*P) + Corrosion= 2,09*37 / (16 700*0,70 - 0,60*2,09) + 0= 0,0067"

Maximum allowable working pressure, (at 200 °F) UG-27(c)(1)

P = S*E*t / (R + 0,60*t) - Ps

= 16 700*0,70*0,0625 / (37 + 0,60*0,0625) - 2,09= 17,63 psi

Maximum allowable pressure, (at 70 °F) UG-27(c)(1)

P = S*E*t / (R + 0,60*t)= 16 700*0,70*0,0625 / (37 + 0,60*0,0625)

= 19,73 psi

External Pressure, (Corroded & at 200 °F) UG-28(c)

L / Do = 96 / 74,125 = 1,2951

Do / t = 74,125 / 0,006 = 12397,2732Experimental basin formula

Pa = [2,42*E / (1 - µ2)0,75]*[(t / Do)2,50 / (L / Do - 0,45*(t / Do)

0,50)] / 3

= [2,42*27300000 / (1 - 0,302)0,75]*[(0,006 / 74,125)2,50 / (96 / 74,125 - 0,45*(0,006 / 74,125)0,50)] / 3= 0 psi

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Design thickness for external pressure Pa = 0 psi

ta = t + Corrosion = 0,006 + 0 = 0,006"Maximum Allowable External Pressure, (Corroded & at 200 °F) UG-28(c)

L / Do = 96 / 74,125 = 1,2951Do / t = 74,125 / 0,0625 = 1186,0000

Experimental basin formula

Pa = [2,42*E / (1 - µ2

)0,75

]*[(t / Do)2,50

/ (L / Do - 0,45*(t / Do)0,50

)] / 3= [2,42*27300000 / (1 - 0,302)0,75]*[(0,0625 / 74,125)2,50 / (96 / 74,125 - 0,45*(0,0625 / 74,125)0,50)] / 3= 0,38 psi


EFE = (50*t / Rf)*(1 - Rf / Ro)

= (50*0,0625 / 37,0313)*(1 - 37,0313 / infinity)

= 0,0844%


Pv = (1 + 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)

= 1,01*291,4 / (2*π*37,0313) + 2 432 / (π*37,03132) = 1,8351 lb/in

α = Pv / (Pe*Do) = 1,8351 / (0*74,125)

= 24,7563n = 8

m = 1,23 / (L / Do)2

= 1,23 / (96 / 74,125)2

= 0,7333

Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)

= (82 - 1 + 0,7333 + 0,7333*24,7563) / (82 - 1 + 0,7333) = 1,2848


(1,2848 * 0 = 0) ≤ 0,38

Cylinder design thickness is satisfactory.

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psi)

AllowableStress Before

UG-23 StressIncrease ( psi)

Temperature (°F)

Corrosion C(in)

LoadReq'd Thk Due to

Tension (in)

Req'd Thk Due

toCompression

(in)

St Sc

Operating, Hot & Corroded 0 16 700 2 889 200 0 Seismic 0 0,0005

Operating, Hot & New 0 16 700 2 889 200 0 Seismic 0 0,0005

Hot Shut Down, Corroded 0 16 700 2 889 200 0 Seismic 0 0,0005

Hot Shut Down, New 0 16 700 2 889 200 0 Seismic 0 0,0005

Empty, Corroded 0 16 700 2 989 70 0 Seismic 0,0002 0,0004

Empty, New 0 16 700 2 989 70 0 Seismic 0,0002 0,0004

Vacuum 0 16 700 2 889 200 0 Seismic 0,0001 0,0005

Hot Shut Down, Corroded, Weight &

Eccentric Moments Only0 16 700 2 889 200 0 Weight 0,0004 0,0004

Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3)

A = 0,125 / (Ro / t)

= 0,125 / (37,0625 / 0,0625)

= 0,000211B = 2 889 psi

S = 16 700 / 1,00 = 16 700 psi

ScHC = min(B, S) = 2 889 psi


ScHN = ScHC

= 2 889 psi


A = 0,125 / (Ro / t)= 0,125 / (37,0625 / 0,0625)

= 0,000211

B = 2 989 psi

S = 16 700 / 1,00 = 16 700 psi

ScCN = min(B, S) = 2 989 psi

Allowable Compressive Stress, Cold and Corroded- ScCC

ScCC = ScCN

= 2 989 psi


A = 0,125 / (Ro / t)

= 0,125 / (37,0625 / 0,0625)

= 0,000211

B = 2 889 psi

S = 16 700 / 1,00 = 16 700 psi

ScVC = min(B, S) = 2 889 psi

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tp = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)

= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)

= 0"

tm = M / (π*Rm2*Sc*Ks) (bending)

= 2 432 / (π*37,03132*2 888,78*1,20)

= 0,0002"

tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)

= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0002"

tt = |tp + tm - tw| (total, net compressive)

= |0 + 0,0002 - (0,0002)|

= 0"

twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)

= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0004"

tc

= tmc

+ twc

- tpc

(total required, compressive)

= 0,0002 + (0,0004) - (0)

= 0,0005"


P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0,40*(t - tm + tw))

= 2*16 700*1,20*0,70*(0,0625 - 0 + (0,0001)) / (37 - 0,40*(0,0625 - 0 + (0,0001)))

= 47,43 psi


tp = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)

= 0"


= 2 432 / (π*37,03132*2 888,78*1,20)

= 0,0002"


= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0002"


= |0 + 0,0002 - (0,0002)|

= 0"


= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0004"

tc = tmc + twc - tpc (total required, compressive)

= 0,0002 + (0,0004) - (0)

= 0,0005"

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= 2*16 700*1,20*0,70*(0,0625 - 0 + (0,0001)) / (37 - 0,40*(0,0625 - 0 + (0,0001)))

= 47,43 psi


tp = 0" (Pressure)tm = M / (π*Rm

2*Sc*Ks) (bending)

= 2 432 / (π*37,03132*2 888,78*1,20)

= 0,0002"


= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0002"


= |0 + 0,0002 - (0,0002)|

= 0"

twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0004"


= 0,0002 + (0,0004) - (0)

= 0,0005"


tp = 0" (Pressure)


= 2 432 / (π*37,03132*2 888,78*1,20)= 0,0002"


= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0002"


= |0 + 0,0002 - (0,0002)|

= 0"


= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0004"


= 0,0002 + (0,0004) - (0)

= 0,0005"


tp = 0" (Pressure)


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= 123 / (π*37,03132*2 989,49*1,20)

= 0"


= 0,59*291,4 / (2*π*37,0313*2 989,49*1,20)

= 0,0002"


= |0 + 0 - (0,0002)|

= 0,0002"twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)

= 1,01*291,4 / (2*π*37,0313*2 989,49*1,20)

= 0,0004"


= 0 + (0,0004) - (0)

= 0,0004"


tp = 0" (Pressure)


= 123 / (π*37,03132*2 989,49*1,20)

= 0"


= 0,59*291,4 / (2*π*37,0313*2 989,49*1,20)

= 0,0002"


= |0 + 0 - (0,0002)|

= 0,0002"


= 1,01*291,4 / (2*π*37,0313*2 989,49*1,20)

= 0,0004"


= 0 + (0,0004) - (0)

= 0,0004"


tp = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)

= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)

= 0"


= 2 432 / (π*37,03132*2 888,78*1,20)

= 0,0002"


= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0002"


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= |0 + 0,0002 - (0,0002)|

= 0,0001"


= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)

= 0,0004"


= 0,0002 + (0,0004) - (0)

= 0,0005"


P = 2*Sc*Ks*(t - tmc - twc) / (R - 0,40*(t - tmc - twc))

= 2*2 888,78*1,20*(0,0625 - 0,0002 - 0,0004) / (37 - 0,40*(0,0625 - 0,0002 - 0,0004))

= 11,62 psi

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam

tp = 0" (Pressure)


= 0 / (π*37,03132*2 888,78*1,00)

= 0"

tw = W / (2*π*Rm*Sc*Ks) (Weight)

= 291,4 / (2*π*37,0313*2 888,78*1,00)

= 0,0004"


= |0 + 0 - (0,0004)|

= 0,0004"


= 0 + (0,0004) - (0)

= 0,0004"

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Cylinder #2


Component Cylinder


ImpactTested


PWHTOptimize MDMT/

Find MAWP

No No No No No



DesignMDMT (°F)

Internal 0 200-20

External 0 200

Static Liquid Head


Operating 3,83 106 1

Test horizontal 2,67 74 1

Dimensions

Inner Diameter 74"

Length 48"


CorrosionInner 0"

Outer 0"

Weight and Capacity


New 202,43 893,68

Corroded 202,43 893,68

Radiography


Top Circumferential

seamNone UW-11(c) Type 1

Bottom Circumferential

seam None UW-11(c) Type 1

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Results Summary








Maximum allowable external pressure (MAEP) 0,38 psi

Rated MDMT -320 °F


tr = 3,83*37 / (16 700*0,7 - 0.6*3,83) = 0,0121"





Design thickness, (at 200 °F) UG-27(c)(1)

t = P*R / (S*E - 0,60*P) + Corrosion= 3,83*37 / (16 700*0,70 - 0,60*3,83) + 0= 0,0122"

Maximum allowable working pressure, (at 200 °F) UG-27(c)(1)

P = S*E*t / (R + 0,60*t) - Ps

= 16 700*0,70*0,0625 / (37 + 0,60*0,0625) - 3,83= 15,9 psi

Maximum allowable pressure, (at 70 °F) UG-27(c)(1)

P = S*E*t / (R + 0,60*t)= 16 700*0,70*0,0625 / (37 + 0,60*0,0625)

= 19,73 psi

External Pressure, (Corroded & at 200 °F) UG-28(c)

L / Do = 96 / 74,125 = 1,2951

Do / t = 74,125 / 0,006 = 12397,2732Experimental basin formula

Pa = [2,42*E / (1 - µ2)0,75]*[(t / Do)2,50 / (L / Do - 0,45*(t / Do)

0,50)] / 3

= [2,42*27300000 / (1 - 0,302)0,75]*[(0,006 / 74,125)2,50 / (96 / 74,125 - 0,45*(0,006 / 74,125)0,50)] / 3= 0 psi

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Design thickness for external pressure Pa = 0 psi

ta = t + Corrosion = 0,006 + 0 = 0,006"Maximum Allowable External Pressure, (Corroded & at 200 °F) UG-28(c)

L / Do = 96 / 74,125 = 1,2951Do / t = 74,125 / 0,0625 = 1186,0000

Experimental basin formula

Pa = [2,42*E / (1 - µ2

)0,75

]*[(t / Do)2,50

/ (L / Do - 0,45*(t / Do)0,50

)] / 3= [2,42*27300000 / (1 - 0,302)0,75]*[(0,0625 / 74,125)2,50 / (96 / 74,125 - 0,45*(0,0625 / 74,125)0,50)] / 3= 0,38 psi


EFE = (50*t / Rf)*(1 - Rf / Ro)

= (50*0,0625 / 37,0313)*(1 - 37,0313 / infinity)

= 0,0844%


Pv = (1 + 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)

= 1,01*489,6 / (2*π*37,0313) + 7 280 / (π*37,03132) = 3,8246 lb/in

α = Pv / (Pe*Do) = 3,8246 / (0*74,125)

= 51,5964n = 8

m = 1,23 / (L / Do)2

= 1,23 / (96 / 74,125)2

= 0,7333

Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)

= (82 - 1 + 0,7333 + 0,7333*51,5964) / (82 - 1 + 0,7333) = 1,5937


(1,5937 * 0 = 0) ≤ 0,38


External Pressure + Weight + Seismic Loading Check at Bottom Seam(Bergman, ASME paper 54-A-104)

Pv = (0,6 - 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)

= 0,59*-16 164,3 / (2*π*37,0313) + 15 / (π*37,03132) = -40,668 lb/in

α = Pv / (Pe*Do) = -40,668 / (0*74,125)

= -548,6414n = 8m = 1,23 / (L / Do)

2

= 1,23 / (96 / 74,125)2

= 0,7333

Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (82 - 1 + 0,7333 + 0,7333*-548,6414) / (82 - 1 + 0,7333)

= 1

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(1 * 0 = 0) ≤ 0,38




psi)

Allowable

Stress BeforeUG-23 Stress

Increase (psi)

Temperature (

°F)

Corrosion C

(in)Location Load

Req'd Thk Due to

Tension (in)

Req'd Thk Due to

Compression (in)

St Sc

Operating, Hot & Corroded 0 16 700 2 889 200 0Top Seismic 0 0,0011


Operating, Hot & New 0 16 700 2 889 200 0Top Seismic 0 0,0011


Hot Shut Down, Corroded 0 16 700 2 889 200 0Top Seismic 0 0,0011


Hot Shut Down, New 0 16 700 2 889 200 0Top Seismic 0 0,0011


Empty, Corroded 0 16 700 2 989 70 0Top Seismic 0,0003 0,0006

Bottom Seismic 0 0

Empty, New 0 16 700 2 989 70 0Top Seismic 0,0003 0,0006

Bottom Seismic 0 0

Vacuum 0 16 700 2 889 200 0Top Seismic 0 0,0011


Hot Shut Down, Corroded,Weight & Eccentric Moments

Only0 16 700 2 889 200 0

Top Weight 0,0007 0,0007

Bottom Weight 0,0042 0,0042

Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3)

A = 0,125 / (Ro / t)= 0,125 / (37,0625 / 0,0625)

= 0,000211

B = 2 889 psi

S = 16 700 / 1,00 = 16 700 psi

ScHC = min(B, S) = 2 889 psi


ScHN = ScHC

= 2 889 psi


A = 0,125 / (Ro / t)

= 0,125 / (37,0625 / 0,0625)

= 0,000211

B = 2 989 psi

S = 16 700 / 1,00 = 16 700 psi

ScCN = min(B, S) = 2 989 psi

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ScCC = ScCN

= 2 989 psi


A = 0,125 / (Ro / t)

= 0,125 / (37,0625 / 0,0625)

= 0,000211

B = 2 889 psi

S = 16 700 / 1,00 = 16 700 psi


Operating, Hot & Corroded, Seismic, Above Support Point

tp = P*R / (2*St*Ks*Ec + 0,40*|P|) (Pressure)

= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)

= 0"tm = M / (π*Rm

2*St*Ks*Ec) (bending)

= 7 280 / (π*37,03132*16 700*1,20*1,00)

= 0,0001"

tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)

= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)

= 0,0001"

tt = tp + tm - tw (total required, tensile)

= 0 + 0,0001 - (0,0001)

= 0"

tpc = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)

= 0"

tmc = M / (π*Rm2*Sc*Ks) (bending)

= 7 280 / (π*37,03132*2 888,78*1,20)

= 0,0005"


= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)

= 0,0006"


= 0,0005 + (0,0006) - (0)= 0,0011"



= 2*16 700*1,20*1,00*(0,0625 - 0,0001 + (0,0001)) / (37 - 0,40*(0,0625 - 0,0001 + (0,0001)))

= 67,72 psi

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Operating, Hot & New, Seismic, Above Support Point


= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)

= 0"

tm = M / (π*Rm2*St*Ks*Ec) (bending)

= 7 280 / (π*37,03132*16 700*1,20*1,00)

= 0,0001"


= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)

= 0,0001"


= 0 + 0,0001 - (0,0001)

= 0"

tpc = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)

= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)

= 0"

tmc

= M / (π*Rm

2*Sc*K

s) (bending)

= 7 280 / (π*37,03132*2 888,78*1,20)

= 0,0005"


= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)

= 0,0006"


= 0,0005 + (0,0006) - (0)

= 0,0011"



= 2*16 700*1,20*1,00*(0,0625 - 0,0001 + (0,0001)) / (37 - 0,40*(0,0625 - 0,0001 + (0,0001)))

= 67,72 psi

Hot Shut Down, Corroded, Seismic, Above Support Point

tp = 0" (Pressure)


= 7 280 / (π*37,03132*16 700*1,20*1,00)

= 0,0001"


= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)

= 0,0001"


= 0 + 0,0001 - (0,0001)

= 0"


= 7 280 / (π*37,03132*2 888,78*1,20)

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= 0,0005"


= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)

= 0,0006"


= 0,0005 + (0,0006) - (0)

= 0,0011"

Hot Shut Down, New, Seismic, Above Support Point

tp = 0" (Pressure)


= 7 280 / (π*37,03132*16 700*1,20*1,00)

= 0,0001"


= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)

= 0,0001"


= 0 + 0,0001 - (0,0001)

= 0"


= 7 280 / (π*37,03132*2 888,78*1,20)

= 0,0005"


= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)

= 0,0006"


= 0,0005 + (0,0006) - (0)

= 0,0011"

Empty, Corroded, Seismic, Above Support Point

tp = 0" (Pressure)


= 315 / (π*37,03132*2 989,49*1,20)

= 0"


= 0,59*489,6 / (2*π*37,0313*2 989,49*1,20)

= 0,0003"


= |0 + 0 - (0,0003)|

= 0,0003"


= 1,01*489,6 / (2*π*37,0313*2 989,49*1,20)

= 0,0006"


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= 0 + (0,0006) - (0)

= 0,0006"

Empty, New, Seismic, Above Support Point

tp = 0" (Pressure)


= 315 / (π*37,03132*2 989,49*1,20)

= 0"


= 0,59*489,6 / (2*π*37,0313*2 989,49*1,20)

= 0,0003"


= |0 + 0 - (0,0003)|

= 0,0003"


= 1,01*489,6 / (2*π*37,0313*2 989,49*1,20)

= 0,0006"


= 0 + (0,0006) - (0)

= 0,0006"

Vacuum, Seismic, Above Support Point


= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)

= 0"


= 7 280 / (π*37,03132*16 700*1,20*1,00)

= 0,0001"


= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)

= 0,0001"


= 0 + 0,0001 - (0,0001)

= 0"

tpc = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)

= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)

= 0"


= 7 280 / (π*37,03132*2 888,78*1,20)

= 0,0005"


= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)

= 0,0006"


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= 0,0005 + (0,0006) - (0)

= 0,0011"



= 2*2 888,78*1,20*(0,0625 - 0,0005 - 0,0006) / (37 - 0,40*(0,0625 - 0,0005 - 0,0006))

= 11,51 psi

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Above Support Point

tp = 0" (Pressure)


= 0 / (π*37,03132*2 888,78*1,00)

= 0"

tw = W / (2*π*Rm*Sc*Ks) (Weight)

= 489,6 / (2*π*37,0313*2 888,78*1,00)

= 0,0007"


= |0 + 0 - (0,0007)|

= 0,0007"


= 0 + (0,0007) - (0)

= 0,0007"

Operating, Hot & Corroded, Seismic, Below Support Point


= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)

= 0"


= 15 / (π*37,03132*16 700*1,20*1,00)

= 0"

tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)

= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,0035"


= 0 + 0 - (-0,0035)

= 0,0035"

twc = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)

= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,002"


= |0 + (-0,002) - (0)|

= 0,002"

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= 2*16 700*1,20*1,00*(0,0625 - 0 + (-0,0035)) / (37 - 0,40*(0,0625 - 0 + (-0,0035)))

= 63,93 psi

Operating, Hot & New, Seismic, Below Support Point

tp = P*R / (2*St*Ks*Ec + 0,40*|P|) (Pressure)= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)

= 0"


= 15 / (π*37,03132*16 700*1,20*1,00)

= 0"


= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,0035"


tensile)

= 0 + 0 - (-0,0035)

= 0,0035"


= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,002"


tensile)

= |0 + (-0,002) - (0)|

= 0,002"



= 2*16 700*1,20*1,00*(0,0625 - 0 + (-0,0035)) / (37 - 0,40*(0,0625 - 0 + (-0,0035)))

= 63,93 psi

Hot Shut Down, Corroded, Seismic, Below Support Point

tp = 0" (Pressure)


= 15 / (π*37,03132*16 700*1,20*1,00)

= 0"tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)

= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,0035"


tensile)

= 0 + 0 - (-0,0035)

= 0,0035"

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= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,002"


= |0 + (-0,002) - (0)|

= 0,002"

Hot Shut Down, New, Seismic, Below Support Point

tp = 0" (Pressure)


= 15 / (π*37,03132*16 700*1,20*1,00)

= 0"


= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,0035"

tt

= tp

+ tm

- tw

(total required,

tensile)= 0 + 0 - (-0,0035)

= 0,0035"


= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,002"


= |0 + (-0,002) - (0)|

= 0,002"

Empty, Corroded, Seismic, Below Support Point

tp = 0" (Pressure)


= 4 / (π*37,03132*16 700*1,20*1,00)

= 0"


= 1,01*-181,9 / (2*π*37,0313*16 700*1,20*1,00)

= 0"


= 0 + 0 - (0)= 0"


= 0,59*-181,9 / (2*π*37,0313*16 700*1,20*1,00)

= 0"

tc = |tmc + twc - tpc| (total, net tensile)

= |0 + (0) - (0)|

= 0"

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Empty, New, Seismic, Below Support Point

tp = 0" (Pressure)


= 4 / (π*37,03132*16 700*1,20*1,00)

= 0"


= 1,01*-181,9 / (2*π*37,0313*16 700*1,20*1,00)

= 0"


= 0 + 0 - (0)

= 0"


= 0,59*-181,9 / (2*π*37,0313*16 700*1,20*1,00)

= 0"


= |0 + (0) - (0)|

= 0"

Vacuum, Seismic, Below Support Point


= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)

= 0"


= 15 / (π*37,03132*16 700*1,20*1,00)

= 0"


= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)= -0,0035"


= 0 + 0 - (-0,0035)

= 0,0035"


= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)

= -0,002"


= |0 + (-0,002) - (0)|

= 0,002"



= 2*2 888,78*1,20*(0,0625 - 0 - -0,0117) / (37 - 0,40*(0,0625 - 0 - -0,0117))

= 13,92 psi

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Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Below Support Point

tp = 0" (Pressure)


= 0 / (π*37,03132*16 700*1,00*1,00)

= 0"

tw = W / (2*π*Rm*St*Ks*Ec) (Weight)

= -16 164,3 / (2*π*37,0313*16 700*1,00*1,00)

= -0,0042"


= 0 + 0 - (-0,0042)

= 0,0042"


= |0 + (-0,0042) - (0)|

= 0,0042"

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Legs #1

Inputs

Leg material

Leg description 3 inch sch 40 pipe

Number of legs, N 4

Overall length 36"

Base to girth seam length 28"

Bolt circle 76,125"

Foundation allowable bearing stress 1 658 psi

User defined leg eccentricity 0

Effective length coefficient, K 1,2

Coefficient, Cm 0,85

Leg yield stress, Fy 36 000 psi

Leg elastic modulus, E 29 000 000 psi

Anchor Bolts

Anchor bolt size 0,375" series 8 threaded

Anchor bolt material

Anchor bolts/leg 1

Anchor bolt allowable stress, Sb 20 000 psi

Anchor bolt corrosion allowance 0"

Anchor bolt hole clearance 0,375"

Welds

Leg to shell fillet weld 0,0625" (0,0406" required)

Legs braced No

Note: The support attachment point is assumed to be 1 in up from the cylinder circumferential seam.

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Weight operating corroded, Moment = 0,0 lbf-ft

Forceattack

angle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfa

psi

Bendingfbx

psi

Bendingfby

psi

RatioH1-1

RatioH1-2

0

0 4 365,5 0,0 1 958 0 0 0,0981 0,0906

90 4 365,5 0,0 1 958 0 0 0,0981 0,0906

180 4 365,5 0,0 1 958 0 0 0,0981 0,0906

270 4 365,5 0,0 1 958 0 0 0,0981 0,0906

Weight empty corroded, Moment = 0,0 lbf-ft

Forceattack

angle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfa

psi

Bendingfbx

psi

Bendingfby

psi

RatioH1-1

RatioH1-2

0

0 192,2 0,0 86 0 0 0,0043 0,0040

90 192,2 0,0 86 0 0 0,0043 0,0040

180 192,2 0,0 86 0 0 0,0043 0,0040

270 192,2 0,0 86 0 0 0,0043 0,0040

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Weight vacuum corroded, Moment = 0,0 lbf-ft

Forceattack

angle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfa

psi

Bendingfbx

psi

Bendingfby

psi

RatioH1-1

RatioH1-2

0

0 4 365,5 0,0 1 958 0 0 0,0981 0,0906

90 4 365,5 0,0 1 958 0 0 0,0981 0,0906

180 4 365,5 0,0 1 958 0 0 0,0981 0,0906

270 4 365,5 0,0 1 958 0 0 0,0981 0,0906

Governing Condition : Seismic operating corroded, Moment = 605,4 lb f-ft

Forceattack

angle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfa

psi

Bendingfbx

psi

Bendingfby

psi

RatioH1-1

RatioH1-2

0

0 2 443,4 30,6 1 096 514 0 0,0734 0,0723

90 4 404,2 30,6 1 975 0 514 0,1176 0,1130

180 4 502,2 30,6 2 019 514 0 0,1198 0,1151

270 4 404,2 30,6 1 975 0 514 0,1176 0,1130

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Seismic empty corroded, Moment = 25,9 lbf-ft

Forceattack

angle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfa

psi

Bendingfbx

psi

Bendingfby

psi

RatioH1-1

RatioH1-2

0

0 94,0 1,3 42 23 0 0,0029 0,0029

90 170,2 1,3 76 0 23 0,0046 0,0045

180 174,4 1,3 78 23 0 0,0047 0,0046

270 170,2 1,3 76 0 23 0,0046 0,0045

Seismic vacuum corroded, Moment = 605,4 lbf-ft

Forceattack

angle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfa

psi

Bendingfbx

psi

Bendingfby

psi

RatioH1-1

RatioH1-2

0

0 2 443,4 30,6 1 096 514 0 0,0734 0,0723

90 4 404,2 30,6 1 975 0 514 0,1176 0,1130

180 4 502,2 30,6 2 019 514 0 0,1198 0,1151

270 4 404,2 30,6 1 975 0 514 0,1176 0,1130

Leg Calculations (AISC manual ninth edition)

Axial end load, P1 (Based on vessel total bending moment acting at leg attachment elevation)

P1 = (1 + 0,14*SDS)*Wt / N + 48*Mt / (N*D)= (1 + 0,14*0,104)*17 364,14 / 4 + 48*605,4 / ( 4*74,125)= 4 502,24 lbf

Allowable axial compressive stress, Fa (AISC chapter E)

Cc = Sqr(2*π2*E / Fy)= Sqr(2*π2*29 000 000 / 36 000)= 126,0993

K*l / r = 1,2*29 / 1,1637 = 29,9039

Fa = 1 * (1 - (K*l / r)2 / (2*Cc2))*Fy / (5 / 3 + 3*(K*l / r) / (8*Cc)-(K*l / r)3 / (8*Cc

3))= 1 * (1 - (29,9039)2 / (2*126,09932))*36 000 / (5 / 3 + 3*(29,9039) / (8*126,0993)-(29,9039)3 / (8*126,09933))

= 19 948 psi

Allowable axial compression and bending (AISC chapter H)

F'ex = 1*12*π2*E / (23*(K*l / r)2)

= 1*12*π2*29 000 000 / (23*(29,9039)2)= 166 992 psi

F'ey = 1*12*π2*E / (23*(K*l / r)2)

= 1*12*π2*29 000 000 / (23*(29,9039)2)= 166 992 psi

Fb = 1*0,66*Fy

= 1*0,66*36 000

= 23 760 psi

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Compressive axial stress

fa = P1 / A= 4 502,24 / 2,23

= 2 019 psi

Bending stresses

fbx = F*cos(α)*L / (Ix / Cx) + P1*Ecc / (Ix / Cx)= 30,56*cos(0)*29 / (3,02 / 1,75) + 4 502,24*0 / (3,02 / 1,75)= 514 psi

fby= F*sin(α)*L / (Iy / Cy)

= 30,56*sin(0)*29 / (3,02 / 1,75)= 0 psi

AISC equation H1-1

H1-1 = fa / Fa + Cmx*fbx / ((1 - fa / F'ex)*Fbx) + Cmy*fby / ((1 - fa / F

'ey)*Fby)

= 2 019 / 19 948 + 0,85*514 / ((1 - 2 019 / 166 992)*23 760) + 0,85*0 / ((1 - 2 019 / 166 992)*23 760)

= 0,1198

AISC equation H1-2

H1-2 = fa / (0,6*1*Fy) + fbx / Fbx + fby / Fby

= 2 019 / (0,6*1*36 000) + 514 / 23 760 + 0 / 23 760= 0,1151

4, 3 inch sch 40 pipe legs are adequate.

Anchor bolts - Seismic empty corroded condition governs

Tensile loading per leg (1 bolt per leg)

R = 48*M / (N*BC) - (0,6 - 0,14*SDS)*W / N= 48*38,3 / (4*76,125) - (0,6 - 0,14*0,104)*768,81 / 4

= -106,49 lbf

There is no net uplift (R is negative).

0,375" series 8 threaded bolts are satisfactory.

Check the leg to vessel fillet weld, Bednar 10.3, Seismic operating corroded governs

Note: continuous welding is assumed for all support leg fillet welds.

Zw = (2*b*d + d2) / 3

= (2*3,5*7 + 72

) / 3= 32,6667 in2

Jw = (b + 2*d)3 / 12 - d2*(b + d)2 / (b + 2*d)

= (3,5 + 2*7)3 / 12 - 72*(3,5 + 7)2 / (3,5 + 2*7)= 137,9146 in3

E = d2 / (b + 2*d)= 72 / (3,5 + 2*7)

= 2,8 in

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Governing weld load fx = Cos(90)*30,56 = 0 lbf

Governing weld load fy = Sin(90)*30,56 = 30,56 lbf

f1 = P1 / Lweld

= 4 404,24 / 17,5= 251,67 lbf /in (V

L direct shear)

f2= fy*Lleg*0,5*b / Jw

= 30,56*29*0,5*3,5 / 137,9146= 11,24 lbf /in (V

L torsion shear)

f3 = fy / Lweld

= 30,56 / 17,5

= 1,75 lbf /in (Vc direct shear)

f4 = fy*Lleg*E / Jw

= 30,56*29*2,8 / 137,9146= 17,99 lbf /in (V

c torsion shear)

f5 = (fx*Lleg + P1*Ecc) / Zw

= (0*29 + 4 404,24*0) / 32,6667

= 0 lbf /in (ML bending)

f6 = fx / Lweld

= 0 / 17,5= 0 lbf /in (Direct outward radial shear)

f = Sqr((f1 + f2)2 + (f3 + f4)

2 + (f5 + f6)2)

= Sqr((251,67 + 11,24)2 + (1,75 + 17,99)2 + (0 + 0)2)

= 263,66 lbf /in (Resultant shear load)

Required leg to vessel fillet weld leg size (welded both sides + top)

tw

= f / (0,707*0,55*Sa

)

= 263,66 / (0,707*0,55*16 700)= 0,0406 in

The 0,0625 in leg to vessel attachment fillet weld size is adequate.

Base plate thickness check, AISC 3-106

fp = P / (B*N)= 4 569,38 / (4*4)

= 286 psi

tb =(N - (d - tL)) / 2*Sqr(3*fp / Sb)

=(4 - (3,5 - 0,216)) / 2*Sqr(3*286 / 24 000)= 0,0676 in

The base plate thickness is adequate.

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Check the leg to vessel attachment stresses, WRC 107 (Seismic operating corrodedgoverns)

Applied Loads

Radial load, Pr -30,56 lbf

Circumferential moment, Mc 0 lbf-in

Circumferential shear, Vc

0 lbf

Longitudinal moment, ML 886,2 lbf-in

Longitudinal shear, VL 2 443,41 lbf

Torsion moment, Mt 0 lbf-in

Internal pressure, P 3,83 psi

Mean shell radius, Rm 37,0313"

Local shell thickness, T 0,0625"

Design factor 3

Maximum stresses due to the applied loads at the leg edge (includes pressure)

γ = Rm / T = 37,0313 / 0,0625 = 592,5

WRC 107: R m / t > 300 (ratio not covered by WRC 107; R m / t = 300 used which may be unconservative)

C1 = 1,75, C2 = 3,5 in

Local circumferential pressure stress = P*Ri / T =2 266 psi

Local longitudinal pressure stress = P*Ri / (2*T) =1 133 psi

Maximum combined stress (PL+Pb+Q) = 28 399 psiAllowable combined stress (P

L+P

b+Q) = ±3*S = ±50 100 psi

Note: The allowable combined stress (PL+P

b+Q) is based on the strain hardening characteristics of this material.

The maximum combined stress (PL+P

b+Q) is within allowable limits.

Maximum local primary membrane stress (PL) = 6 462 psi

Allowable local primary membrane stress (PL) = ±1,5*S = ±25 050 psi

The maximum local primary membrane stress (PL) is within allowable limits.

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Stresses at the leg edge per WRC Bulletin 107

Figure value β Au Al Bu Bl Cu Cl Du Dl

3C* 24,1131 0,0882 0 0 0 0 318 318 318 318

4C* 42,2557 0,0757 558 558 558 558 0 0 0 0

1C 0,0878 0,0615 0 0 0 0 4 121 -4 121 4 121 -4 121

2C-1 0,0485 0,0615 2 276 -2 276 2 276 -2 276 0 0 0 0

3A* 11,668 0,0595 0 0 0 0 0 0 0 0

1A 0,0815 0,0589 0 0 0 0 0 0 0 0

3B* 32,9963 0,075 -3 638 -3 638 3 638 3 638 0 0 0 0

1B-1 0,0317 0,0593 -19 661 19 661 19 661 -19 661 0 0 0 0

Pressure stress* 2 266 2 266 2 266 2 266 2 266 2 266 2 266 2 266

Total circumferential stress -18 199 16 571 28 399 -15 475 6 705 -1 537 6 705 -1 537

Primary membrane

circumferential stress*-814 -814 6 462 6 462 2 584 2 584 2 584 2 584

3C* 27,9388 0,0757 369 369 369 369 0 0 0 0

4C* 39,5527 0,0882 0 0 0 0 522 522 522 522

1C-1 0,0689 0,078 3 234 -3 234 3 234 -3 234 0 0 0 0

2C 0,0392 0,078 0 0 0 0 1 840 -1 840 1 840 -1 840

4A* 19,1241 0,0595 0 0 0 0 0 0 0 0

2A 0,0385 0,0673 0 0 0 0 0 0 0 0

4B* 12 0,075 -2 481 -2 481 2 481 2 481 0 0 0 0

2B-1 0,0356 0,0683 -19 169 19 169 19 169 -19 169 0 0 0 0

Pressure stress* 1 133 1 133 1 133 1 133 1 133 1 133 1 133 1 133

Total longitudinal stress -16 914 14 956 26 386 -18 420 3 495 -185 3 495 -185

Primary membranelongitudinal stress*

-979 -979 3 983 3 983 1 655 1 655 1 655 1 655

Shear from Mt 0 0 0 0 0 0 0 0

Circ shear from Vc 0 0 0 0 0 0 0 0

Long shear from VL

0 0 0 0 -2 792 -2 792 2 792 2 792

Total Shear stress 0 0 0 0 -2 792 -2 792 2 792 2 792

Combined stress (PL+Pb+Q) -18 199 16 571 28 399 -18 420 8 320 5 745 8 320 5 745

* denotes primary stress.

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Transition #2


Component Cone


ImpactTested


PWHTOptimize MDMT/

Find MAWP

No No No No No



DesignMDMT (°F)

Internal 0 200-20

External 0 200

Static Liquid Head


OperatingLarge 3,83 106

1

Small 4,19 116

Test horizontalLarge 2,67 74

1

Small 1,39 38,5

Dimensions

Inner DiameterLarge 74"

Small 3"

Length 10"


CorrosionInner 0"

Outer 0"

KnuckleThickness tkl 0,125"

Radius r1 4,4475"

Weight and Capacity


New 177,66 107,29

Corroded 177,66 107,29

Radiography


Top Circumferential seam None UW-11(c) Type 1

Bottom Circumferential seam None UW-11(c) Type 1

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Results Summary

Governing condition Internal pressure







Maximum allowable external pressure (MAEP) 0 psi

Rated MDMT -320 °F


Rated MDMT per UHA-51(d)(1)(a), (carbon content does not exceed 0,10%) = -320°F


Design thickness, (at 200 °F) UG-32(h) (Large End)

Di = D - 2*r*(1 - cos(α))

= 74 - 2*4,4475*(1 - cos(79,9852))= 66,6519"

t = P*Di / (2*cos(α)*(S*E - 0,60*P)) + Corrosion= 3,99*66,6519 / (2*cos(79,9852)*(16 700*0,70 - 0,60*3,99)) + 0

= 0,0653"Design thickness, (at 200 °F) Appendix 1-4(d) (Knuckle)

L = Di / (2*cos(α))= 66,6519 / (2*cos(79,9852))= 191,635"

M = 0,25*(3 + Sqr(L / r))= 0,25*(3 + Sqr(191,635 / 4,4475))

= 2,391

tk = P*L*M / (2*S*E - 0,20*P) + Corrosion= 3,99*191,635*2,391 / (2*16 700*0,70 - 0,20*3,99) + 0= 0,0781"

Small End design thickness (t = 0,0031") does not govern.

Maximum allowable working pressure, (Corroded at 200 °F) UG-32(h)

P = 2*S*E*t*cos(α) / (Di + 1,20*t*cos(α)) - Pskl

=2*16 700*0,70*0,125*cos(79,9852) / (66,6519 + 1,20*0,125*cos(79,9852)) -3,98

= 3,64 psi

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Maximum allowable working pressure, (Corroded at 200 °F) App 1-4(d) (Knuckle)

P = 2*S*E*tk / (L*M + 0,20*tk) - Ps

=2*16 700*0,70*0,125 / (191,635*2,391 + 0,20*0,125) -3,98

= 2,39 psi

Small End MAWP (163,76 psi) does not govern.

Maximum allowable pressure, (New at 70 °F) UG-32(h)

P = 2*S*E*t*cos(α) / (Di + 1,20*t*cos(α))

=2*16 700*0,70*0,125*cos(79,9852) / (66,6519 +1,20*0,125*cos(79,9852))

= 7,62 psi

Maximum allowable pressure, (New at 70 °F) App 1-4(d) (Knuckle)

P = 2*S*E*tk / (L*M + 0,20*tk)

=2*16 700*0,70*0,125 / (191,635*2,391 +0,20*0,125)

= 6,38 psi

Small End MAP (167,95 psi) does not govern.

External Pressure, (Corroded & at 200 °F) UG-33(f)(2)

C = 0,13

t = Do*Sqr(C*Pe / Se) + Corrosion= 74,25*Sqr(0,13*0 / 16700) + 0

= 0,0066"


EFE = (50*t / Rf)*(1 - R

f / R

o)

= (50*0,7188 / 1,8594)*(1 - 1,8594 / infinity)

= 19,3286%


Pv = [(0,6 - 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)] / cos(α)

= [0,59*-16 870,7 / (2*π*37,0625) + 12 / (π*37,06252)] / cos(79,9852) = -243,8733 lb/in

α = Pv / (Pe*Do) = -243,8733 / (0*74,25)

= -3 284,4887n = 24

m = 1,23 / (L / Do)2

= 1,23 / (2,9315 / 74,25)2

= 789,0945

Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (242 - 1 + 789,0945 + 789,0945*-3) / (242 - 1 + 789,0945)

= 1


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(1 * 0 = 0) ≤ 0,36

Transition design thickness is satisfactory.



psi)

Allowable

Stress BeforeUG-23 Stress

Increase (

psi)

Temperature (°F)

Corrosion C(in)

Location LoadReq'd Thk Due to

Tension (in)Req'd Thk Due toCompression (in)

St Sc

Operating, Hot & Corroded 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174


Operating, Hot & New 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174


Hot Shut Down, Corroded 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174


Hot Shut Down, New 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174


Empty, Corroded 0 16 700 1 044 70 0Top Seismic 0,0003 0,0002

Bottom Seismic 0 0

Empty, New 0 16 700 1 044 70 0Top Seismic 0,0003 0,0002

Bottom Seismic 0 0

Vacuum 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174


Hot Shut Down, Corroded,Weight & Eccentric Moments

Only0 16 700 1 005 200 0

Top Weight 0 0

Bottom Weight 0 0

Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3)A = 0,125 / (Ro / te)

= 0,125 / (37,125 / 0,0217)= 0,000073

B = 1 005 psiS = 16 700 / 1,00 = 16 700 psi

ScHC = min(B, S) = 1 005 psiAllowable Compressive Stress, Hot and New- ScHN

ScHN = ScHC

= 1005,3211 psi

Allowable Compressive Stress, Cold and New- ScCN, (table HA-3)A = 0,125 / (Ro / te)

= 0,125 / (37,125 / 0,0217)= 0,000073

B = 1 044 psi

S = 16 700 / 1,00 = 16 700 psiScCN = min(B, S) = 1 044 psi


ScCC = ScCN

= 1043,8631 psi

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table

HA-3)A = 0,125 / (Ro / te)

= 0,125 / (37,125 / 0,0217)= 0,000073

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B = 1 005 psiS = 16 700 / 1,00 = 16 700 psi


Operating, Hot & Corroded, Seismic, Top Seam


= 0*37 / [(2*16 700*1,20*0,70 + 0,40*|0|)*cos(79,9852)]= 0"

tm = M / [(π*Rm2


tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 1,01*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]

= -0,0301"

tt = tp + tm - tw

(total

required,tensile)

= 0 + 0 - (-0,0301)= 0,0301"

twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)

= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]

= -0,0174"


= |0 + (-0,0174) - (0)|= 0,0174"


P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,20*0,70*(0,125 - 0 + (-0,0301)) / ((37 - 0,40*(0,125 - 0 + (-0,0301)))*cos(79,9852))

= 414,08 psi

Operating, Hot & New, Seismic, Top Seam


= 0*37 / [(2*16 700*1,20*0,70 + 0,40*|0|)*cos(79,9852)]= 0"


= 12 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"


= -0,0301"

tt = tp + tm - tw

(total

required,

tensile)= 0 + 0 - (-0,0301)

= 0,0301"twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)

= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]= -0,0174"


= |0 + (-0,0174) - (0)|

= 0,0174"

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P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,20*0,70*(0,125 - 0 + (-0,0301)) / ((37 - 0,40*(0,125 - 0 + (-0,0301)))*cos(79,9852))= 414,08 psi

Hot Shut Down, Corroded, Seismic, Top Seam

tp = 0" (Pressure)

tm = M / [(π*Rm2



= -0,0301"

tt = tp + tm - tw

(total

required,tensile)

= 0 + 0 - (-0,0301)= 0,0301"


= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]

= -0,0174"


= |0 + (-0,0174) - (0)|= 0,0174"

Hot Shut Down, New, Seismic, Top Seam



= 12 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"

tw

= (1 + 0,14*SDS

)*W / [(2*π*Rm

*St

*Ks

*Ec

)*cos(α)] (Weight)

= 1,01*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]= -0,0301"

tt = tp + tm - tw

(totalrequired,

tensile)= 0 + 0 - (-0,0301)= 0,0301"

twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]

= -0,0174"


tensile)

= |0 + (-0,0174) - (0)|= 0,0174"

Empty, Corroded, Seismic, Top Seam

tp = 0" (Pressure)


= 4 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"

tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)

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= 1,01*-177,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]

= -0,0003"


= 0 + 0 - (-0,0003)= 0,0003"


=0,59*-177,7 /

[(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]= -0,0002"


= |0 + (-0,0002) - (0)|= 0,0002"

Empty, New, Seismic, Top Seam


2*St*Ks*Ec)*cos(α)] (bending)= 4 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"


= 1,01*-177,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]

= -0,0003"


= 0 + 0 - (-0,0003)


=0,59*-177,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]

= -0,0002"tc = |tmc + twc - tpc| (total, net tensile)

= |0 + (-0,0002) - (0)|

= 0,0002"

Vacuum, Seismic, Top Seam

tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)= 0*37 / [(2*16 700*1,20*0,70 + 0,40*|0|)*cos(79,9852)]= 0"


= 12 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]

= 0"tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)

= 1,01*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]

= -0,0301"

tt = tp + tm - tw

(total

required,tensile)

= 0 + 0 - (-0,0301)= 0,0301"

twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]= -0,0174"

tc = |tmc + twc - tpc| (total, net

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tensile)= |0 + (-0,0174) - (0)|

= 0,0174"


P = 2*Sc*Ks*(t - tmc - twc) / ((R - 0,40*(t - tmc - twc))*cos(α))

= 2*1 005,32*1,20*(0,125 - 0 - -0,2022) / ((37 - 0,40*(0,125 - 0 - -0,2022))*cos(79,9852))= 123,11 psi



= 0"tm = M / [(π*Rm


= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]= 0"

tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0013"

tt = tp + tm - tw

(total

required,tensile)

= 0 + 0 - (-0,0013)


= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]

= -0,0007"


tensile)= |0 + (-0,0007) - (0)|

= 0,0007"


P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))

= 2*16 700*1,00*0,70*(0,125 - 0 + (-0,0013)) / ((1,5 - 0,40*(0,125 - 0 + (-0,0013)))*cos(79,9852))= 11 468,65 psi



= 0"tm = M / [(π*Rm


= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]


= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0013"

tt = tp + tm - tw

(totalrequired,

tensile)= 0 + 0 - (-0,0013)= 0,0013"


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= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0007"


= |0 + (-0,0007) - (0)|

= 0,0007"


P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,00*0,70*(0,125 - 0 + (-0,0013)) / ((1,5 - 0,40*(0,125 - 0 + (-0,0013)))*cos(79,9852))= 11 468,65 psi


tp = 0" (Pressure)


= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]


= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]

= -0,0013"

tt = tp + tm - tw(totalrequired,tensile)

= 0 + 0 - (-0,0013)= 0,0013"


= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0007"


= |0 + (-0,0007) - (0)|= 0,0007"




= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]= 0"


= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0013"

tt = tp + tm - tw

(totalrequired,

tensile)

= 0 + 0 - (-0,0013)= 0,0013"

twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]

= -0,0007"


tensile)= |0 + (-0,0007) - (0)|= 0,0007"

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2*St*Ks*Ec)*cos(α)] (bending)= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]


= 0 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= 0"

tt = tp + tm - tw (total required,tensile)

= 0 + 0 - (0)

= 0"


(total required,

compressive)= 0 + (0) - (0)

= 0"


tp = 0" (Pressure)


= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]= 0"

tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)

= 0 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= 0"


tensile)= 0 + 0 - (0)

= 0"


(total required,

compressive)= 0 + (0) - (0)= 0"



= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]= 0"


= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]= 0"

tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]

= -0,0013"

tt = tp + tm - tw(totalrequired,

tensile)= 0 + 0 - (-0,0013)


= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0007"


tensile)

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= |0 + (-0,0007) - (0)|= 0,0007"


P = 2*Sc*Ks*(t - tmc - twc) / ((R - 0,40*(t - tmc - twc))*cos(α))= 2*1 005,32*1,00*(0,125 - 0 - -0,0085) / ((1,5 - 0,40*(0,125 - 0 - -0,0085))*cos(79,9852))

= 1 066,85 psi

Appendix 1-5 calculations are not required for the transition large end as a knuckle is present.

Appendix 1-8(b)(2) reinforcement calculations are not required for the transition large end as a knuckle is present.

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Seismic Code

Building Code: ASCE 7-10 ground supported

Site Class C

Importance Factor, Ie 1,0000

Spectral Response Acceleration at short

period (% g), Ss

13,00%

Spectral Response Acceleration at period of1 sec (% g), S1

5,70%

Response Modification Coeficient from

Table 15.4-2, R3,0000

Acceleration-based Site Coefficient, Fa 1,2000

Velocity-based Site Coefficient, Fv 1,7000

Long-period Transition Period, TL 12,0000

Redundancy factor, ρ 1,0000

Risk Category (Table 1.5-1) IIUser Defined Vertical AccelerationsConsidered

No

Vessel Characteristics

Height 11,1667 ft

WeightOperating, Corroded 17 462 lb

Empty, Corroded 769 lb

Vacuum, Corroded 17 462 lb

Period of Vibration Calculation

Fundamental Period, TOperating, Corroded 0,193 sec (f = 5,2 Hz)

Empty, Corroded 0,038 sec (f = 26,2 Hz)

Vacuum, Corroded 0,193 sec (f = 5,2 Hz)

The fundamental period of vibration T (above) is calculated using the Rayleigh method of approximation

T = 2 * PI * Sqr( {Sum(Wi * yi2 )} / {g * Sum(W i * yi )} ), where

Wi is the weight of the ith lumped mass, andyi is its deflection when the system is treated as a cantilever beam.

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2.4 Combining Nominal Loads Using Allowable StressDesign

Load combinations considered in accordance with ASCEsection 2.4.1:

5. D + P + P s + 0.7E

8. 0.6D + P + P s + 0.7E

Parameter description

D = Dead load

P = Internal or external pressure load

P s

= Static head load

E = Seismic load

Seismic Shear Reports:

Operating, CorrodedEmpty, Corroded

Vacuum, CorrodedBase Shear Calculations

Seismic Shear Report: Operating, Corroded

ComponentElevation of Bottom

above Base (in)

Elastic Modulus E

(106 psi)

Inertia I

(ft4)

Seismic Shear at

Bottom (lbf)

Bending Moment at

Bottom (lbf-ft)

Transition #1 124 27,5 * 12 3

Cylinder #1 76 27,5 0,4809 82 203

Cylinder #2 (top) 28 27,5 0,4809 118 607

Legs #1 0 29,0 0,0006 122 890

Cylinder #2 (bottom) 28 27,5 0,4809 4 1

Transition #2 28 27,5 * 3 1

*Moment of Inertia I varies over the length of the component

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Seismic Shear Report: Empty, Corroded


above Base (in)Elastic Modulus E

(106 psi)Inertia I

(ft4)Seismic Shear at

Bottom (lbf)Bending Moment at

Bottom (lbf-ft)

Transition #1 124 28,3 * 1 1

Cylinder #1 76 28,3 0,4809 3 10

Cylinder #2 (top) 28 28,3 0,4809 5 26

Legs #1 0 29,0 0,0006 5 38

Cylinder #2 (bottom) 28 28,3 0,4809 1 0

Transition #2 28 28,3 * 1 0


Seismic Shear Report: Vacuum, Corroded


above Base (in)Elastic Modulus E

(106 psi)Inertia I

(ft4)Seismic Shear at

Bottom (lbf)Bending Moment at

Bottom (lbf-ft)

Transition #1 124 27,5 * 12 3

Cylinder #1 76 27,5 0,4809 82 203

Cylinder #2 (top) 28 27,5 0,4809 118 607

Legs #1 0 29,0 0,0006 122 890

Cylinder #2 (bottom) 28 27,5 0,4809 4 1

Transition #2 28 27,5 * 3 1


11.4.3: Maximum considered earthquake spectral response acceleration

The maximum considered earthquake spectral response acceleration at short period, SMS

SMS

= Fa * Ss = 1,2000 * 13,00 / 100 = 0,1560

The maximum considered earthquake spectral response acceleration at 1 s period, SM1

SM1

= Fv * S1 = 1,7000 * 5,70 / 100 = 0,0969

11.4.4: Design spectral response acceleration parameters

Design earthquake spectral response acceleration at short period, SDS

SDS

= 2 / 3 * SMS

= 2 / 3 * 0,1560 = 0,1040

Design earthquake spectral response acceleration at 1 s period, SD1

SD1

= 2 / 3 * SM1

= 2 / 3 * 0,0969 = 0,0646

11.6 Seismic Design Category

The Risk Category is II.From Table 11.6-1, the Seismic Design Category based on S

Ds = 0,1040 is A.

From Table 11.6-2, the Seismic Design Category based on SD1 = 0,0646 is A.This vessel is assigned to Seismic Design Category A.

Note: This vessel is assigned to Seismic Design Category A, and seismic design is per Section 11.7. The VAccel Termis not applicable.

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Base Shear Calculations

Operating, CorrodedEmpty, CorrodedVacuum, Corroded

Base Shear Calculations: Operating, Corroded

Per ASCE Section 11.6, this vessel is assigned to Seismic Design Category A, as (SD1 = 0,0646) < 0.067, and (SDs =0,1040) < 0.167.In accordance with ASCE Section 11.7, seismic load is determined with Equation 1.4-1.

V = 0.01 * W * 0.7 (Only 70% of seismic load considered as per Section 2.4.1)

= 0.01 * 17 462,1289 * 0.7

= 122,23 lb

Base Shear Calculations: Empty, Corroded

Per ASCE Section 11.6, this vessel is assigned to Seismic Design Category A, as (SD1

= 0,0646) < 0.067, and (SDs

=

0,1040) < 0.167.In accordance with ASCE Section 11.7, seismic load is determined with Equation 1.4-1.


= 0.01 * 769,1284 * 0.7

= 5,38 lb

Base Shear Calculations: Vacuum, Corroded

Per ASCE Section 11.6, this vessel is assigned to Seismic Design Category A, as (SD1

= 0,0646) < 0.067, and (SDs

=0,1040) < 0.167.

In accordance with ASCE Section 11.7, seismic load is determined with Equation 1.4-1.


= 0.01 * 17 462,1289 * 0.7

= 122,23 lb

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11534 Réservoir D'Eau 6800L