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Codeware, Inc.

Houston, TX, USA

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COMPRESS Pressure Vessel Design Calculations

Item: Split Stream DearatorVessel No: V-1234Customer: Magaladon Oil Venture

Contract: C-45490-R56Designer: John Doe

Date: April 1, 2001

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Deficiencies Summary

Deficiencies for Transition #1Appendix 1-8(b): a stiffener ring is required at the cone large end within 17.1 mm of the juncture.Appendix 1-8(c): a stiffener ring is required at the cone small end within 16.68 mm of the juncture.

Warnings Summary

Warnings for Flange #1This body flange is being counted as a line of support for external pressure. (warning)

Warnings for Flange #3This body flange is being counted as a line of support for external pressure. (warning)

Warnings for VesselThe vessel does not have a top closure (head or cover). (warning)

2/28

Pressure Summary

Pressure Summary for Chamber bounded by Welded Cover #1 and Top of vessel

IdentifierP

Design( kg/cm2)

T

Design(°C)

MAWP( kg/cm2)

MAP( kg/cm2)

MAEP( kg/cm2)

Te

external(°C)

MDMT(°C)

MDMTExemption

Total Corrosion

Allowance(mm)

ImpactTest

Cylinder #1 23.10 70.0 25.80 34.48 10.06 70.0 -29.2 Note 1 3.00 No

Transition #1 23.10 70.0 24.49 32.73 1.05 70.0 -29.0 Note 2 3.00 No

Cylinder #2 23.10 70.0 24.53 32.78 1.87 70.0 -29.0 Note 2 3.00 No

Welded Cover #1 23.10 70.0 23.11 26.05 23.11 70.0 -29.0 Note 3 3.00 No

Flange #1 23.10 70.0 98.75 104.05 N/A 70.0 -48.0 Note 4, 5 0.00 No

Flange #3 23.10 70.0 98.75 104.05 N/A 70.0 -48.0 Note 4, 5 0.00 No

Chamber design MDMT is -28.89°CChamber rated MDMT is -29.00°C @ 23.11 kg/cm2

Chamber MAWP hot & corroded is 23.11 kg/cm2 @ 70.0°C

Chamber MAP cold & new is 26.05 kg/cm2 @ 21.1°C

Chamber MAEP is 1.05 kg/cm2 @ 70.0°CVacuum rings did not govern the external pressure rating.

Notes for MDMT Rating:

Note # Exemption Details

1. Material impact test exemption temperature from Fig UCS-66M Curve B = -23.31 °CFig UCS-66.1M MDMT reduction = 5.9 °C, (coincident ratio = 0.8946971) UCS-66 governing thickness = 12 mm

2. Material is impact test exempt per UG-20(f) UCS-66 governing thickness = 12 mm

3. Head is impact test exempt per UG-20(f) UCS-66 governing thickness = 14.25 mm.

4. UCS-66(b)(3): Coincident ratio = 0.2220956

5. Flange rated MDMT = -105 °C Bolts rated MDMT per Fig UCS-66 note (e) = -48 °C

Design notes are available on the Settings Summary page.

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Revision History

No. Date Operator Notes

0 6/30/2011 Administrator New vessel created ASME Section VIII Division 1 [Build 6258]

4/28

Settings Summary

COMPRESS Build 6258

Units: MKS

Datum Line Location: 0.00 mm from bottom seam

Design

ASME Section VIII Division 1, 2007 Edition Metric

Design or Rating: Get Thickness from PressureMinimum thickness: 1.50 mm per UG-16(b)Design for cold shut down only: NoDesign for lethal service (full radiography required): NoDesign nozzles for: Design P, find nozzle MAWP and MAPCorrosion weight loss: 100% of theoretical lossUG-23 Stress Increase: 1.20Skirt/legs stress increase: 1.0Minimum nozzle projection: 152.40 mmJuncture calculations for α > 30 only: YesPreheat P-No 1 Materials > 1.25&#34 and <= 1.50" thick: NoButt welds are tapered per Figure UCS-66.3(a).

Hydro/Pneumatic Test

Shop Hydrotest Pressure: 1.3 times vesselMAWP

Test liquid specific gravity: 1.00Maximum stress during test: 90% of yield

Required Marking - UG-116

UG-116 (e) Radiography: RT1UG-116 (f) Postweld heat treatment: None

Code Cases\Interpretations

Use Code Case 2547: NoApply interpretation VIII-1-83-66: YesApply interpretation VIII-1-86-175: YesApply interpretation VIII-1-83-115: YesApply interpretation VIII-1-01-37: YesDisallow UG-20(f) exemptions: No

UG-22 Loadings

UG-22 (a) Internal or External Design Pressure : YesUG-22 (b) Weight of the vessel and normal contents under operating or test conditions: NoUG-22 (c) Superimposed static reactions from weight of attached equipment (external loads): No

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UG-22 (d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: NoUG-22 (f) Wind reactions: NoUG-22 (f) Seismic reactions: NoNote: UG-22 (b),(c) and (f) loads only considered when supports are present.

6/28

Thickness Summary

ComponentIdentifier

Material Diameter(mm)

Length(mm)

Nominal t(mm)

Design t(mm)

JointE

Load

Cylinder #1 SA-516 70 965.00 ID 1000.00 12.00 11.05 1.0000 Internal

Transition #1 SA-516 70 965.00/1016.00 ID 500.00 12.00 11.48 1.0000 Internal

Cylinder #2 SA-516 70 1016.00 ID 6000.00 12.00 11.47 1.0000 Internal

Welded Cover #1 SA-516 70 1016.00 ID 57.00 57.00* 56.99 1.0000 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

7/28

Weight Summary

ComponentWeight ( kg) Contributed by Vessel Elements

MetalNew*

Metal

Corroded*Insulation &

Supports Lining Piping+ Liquid

OperatingLiquid

TestLiquid

Cylinder #1 288.51 217.05 0.00 0.00 0.00 0.00 730.77

Transition #1 148.22 111.50 0.00 0.00 0.00 0.00 385.04

Cylinder #2 1,821.39 1,370.07 0.00 0.00 0.00 0.00 4,860.33

Welded Cover #1 361.98 342.93 0.00 0.00 0.00 0.00 0.00

TOTAL: 2,620.09 2,041.55 0.00 0.00 0.00 0.00 5,976.13

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

Component

Weight ( kg) Contributed by Attachments

Body Flanges Nozzles &Flanges Packed

BedsLadders &Platforms

Trays &Supports

Rings &Clips

VerticalLoads

New Corroded New Corroded

Cylinder #1 607.81 607.81 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Transition #1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Cylinder #2 739.36 739.36 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Welded Cover #1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

TOTAL: 1,347.17 1,347.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Vessel operating weight, Corroded: 3,389 kgVessel operating weight, New: 3,967 kgVessel empty weight, Corroded: 3,389 kgVessel empty weight, New: 3,967 kgVessel test weight, New: 9,943 kg

Vessel center of gravity location - from datum - lift condition

Vessel Lift Weight, New: 3,967 kgCenter of Gravity: 3,508.57 mm

Vessel Capacity

Vessel Capacity** (New): 5,981 litersVessel Capacity** (Corroded): 6,053 liters**The vessel capacity does not include volume of nozzle, piping or other attachments.

8/28

Hydrostatic Test

Shop test pressure determination for Chamber bounded by Welded Cover #1 and Top of vessel based onMAWP per UG-99(b)

Shop hydrostatic test gauge pressure is 30.04 kg/cm2 at 21.11 °C (the chamber MAWP = 23.11 kg/cm2)

The shop test is performed with the vessel in the horizontal position.

IdentifierLocal testpressurekg/cm2

Test liquidstatic head

kg/cm2

UG-99stressratio

UG-99pressure

factor

Stressduring test

kg/cm2

Allowabletest stress

kg/cm2

Stressexcessive?

Cylinder #1 (1) 30.14 0.1 1 1.30 1,226.966 2,386.134 No

Flange #1 30.14 0.1 N/A 1.30 NI NI NI

Transition #1 30.14 0.1 1 1.30 1,277.775 2,386.134 No

Cylinder #2 30.14 0.1 1 1.30 1,291.13 2,386.134 No

Flange #3 30.14 0.1 N/A 1.30 NI NI NI

Welded Cover #1 30.14 0.1 1 1.30 1,628.15 3,579.201 No

Notes:(1) Cylinder #1 limits the UG-99 stress ratio.(2) NI indicates that test stress was not investigated.(3) VIII-2, AD-151.1(b) used as the basis for nozzle allowable test stress.(4) 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 Welded Cover #1 and Top of vessel.

The test temperature of 21.11 °C is warmer than the minimum recommended temperature of -12 °C so the brittlefracture provision of UG-99(h) has been met.

9/28

Vacuum Summary

Component Line of SupportElevation

above Datum(mm)

Length Le(mm)

- Flange #1 8058.80 N/A

- Flange #1 8058.80 N/A

Cylinder #1 Top - 7770.00 1288.80

Cylinder #1 Bottom - 6770.00 1288.80

Transition #1 Top - 6770.00 487.74

- Transition #1 Top 6770.00 487.74

- Transition #1 Bottom 6270.00 487.74

Transition #1 Bottom - 6270.00 487.74

Cylinder #2 Top - 6270.00 6270.00

Cylinder #2 Bottom - 270.00 6270.00

- Flange #3 0.00 N/A

- 1/3 depth of Welded Cover #1 0.00 N/A

Welded Cover #1 - -57.00 N/A

Note

For main components, the listed value of 'Le' is the largest unsupported length for the component.

10/28

Cylinder #1


Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 22)Material impact test exemption temperature from Fig UCS-66M Curve B = -23.31 °CFig UCS-66.1M MDMT reduction = 5.9 °C, (coincident ratio = 0.8946971)UCS-66 governing thickness = 12 mm

Internal design pressure: P = 23.1 kg/cm2 @ 70°CExternal design pressure: Pe = 1.05461 kg/cm2 @ 70°C

Static liquid head:

Pth =0.0990 kg/cm2 (SG=1.0000, Hs=990.50 mm, Horizontal test head)

Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm

Design MDMT = -28.89°C No impact test performedRated MDMT = -29.21°C Material is not normalized

Material is not produced to Fine Grain PracticePWHT is not performed

Radiography: Longitudinal joint - Full UW-11(a) Type 1Top circumferential joint - Full UW-11(a) Type 1Bottom circumferential joint - Full UW-11(a) Type 1

Estimated weight: New = 288.5052 kg corr = 217.0500 kgCapacity: New = 731.3824 liters corr = 740.5048 litersID = 965.00 mmLength Lc = 1000.00 mmt = 12.00 mm

Design thickness, (at 70.00°C) UG-27(c)(1)

t = P*R/(S*E - 0.60*P) + Corrosion= 23.10*485.50/(1407*1.00 - 0.60*23.10) + 3.00= 11.0490 mm

Maximum allowable working pressure, (at 70.00°C) UG-27(c)(1)

P = S*E*t/(R + 0.60*t) - Ps= 1407*1.00*9.0003 / (485.50 + 0.60*9.0003) - 0.0000= 25.8001 kg/cm2

Maximum allowable pressure, (at 21.11°C) UG-27(c)(1)

P = S*E*t/(R + 0.60*t)= 1407*1.00*12.0000 / (482.50 + 0.60*12.0000)= 34.4834 kg/cm2

External Pressure, (Corroded & at 70.00°C) UG-28(c)

L/Do = 1288.7981/989.0000 = 1.3031Do/t = 989.0000/3.544509 = 279.0232

11/28

From table G: A = 0.000219From table CS-2 Metric: B = 220.6944 kg/cm²

Pa = 4*B/(3*(Do/t))= 4*220.6944/(3*(989.0000/3.544509))= 1.0546 kg/cm²

Design thickness for external pressure Pa = 1.0546 kg/cm2

= t + Corrosion = 3.544509 + 3.00 = 6.54 mm

Maximum Allowable External Pressure, (Corroded & at 70.00°C) UG-28(c)

L/Do = 1288.7981/989.00 = 1.3031Do/t = 989.00/9.0003 = 109.8857


Pa = 4*B/(3*(Do/t))= 4*829.1452/(3*(989.00/9.0003))= 10.0607 kg/cm²

% Extreme fiber elongation - UCS-79(d)

= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 12.00 / 488.5000) * (1 - 488.5000 / ∞)= 1.2282 %

12/28

Transition #1


Component: TransitionMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 22)Material is impact test exempt per UG-20(f)UCS-66 governing thickness = 12 mm

Internal design pressure: P = 23.1000 kg/cm2 @ 70.00°CExternal design pressure: Pe = 1.0546 kg/cm2 @ 70.00°C

Static liquid head:

Pth =0.0990 kg/cm2 (SG=1.0000, Hs=990.50 mm, Horizontal test head at small end)Pth =0.1015 kg/cm2 (SG=1.0000, Hs=1016.00 mm, Horizontal test head at large end)




Radiography: Category A joints - Full UW-11(a) Type 1Circ. joint top/left - Full UW-11(a) Type 1Circ. joint right/bottom - Full UW-11(a) Type 1

Estimated weight: New = 148.2 kg corr = 111.5 kgCapacity: New = 385.4 liters corr = 390.0 litersAxial length = 500.00 mmLarge End ID = 1016.0000 mmSmall End ID = 965.0000 mmCone tc = 12.00 mm

Design thickness, (at 70.00°C) UG-32(g) (Large End)

t = P*D / (2*Cos(α)*(S*E - 0.60*P)) + C

= 23.1000*1022.0073 / (2*Cos(2.920)*(1407*1.00 - 0.60*23.1000))+ 2.9997

= 11.48 mmSmall End design thickness (t = 11.06 mm) does not govern.

MAWP, (Corroded at 70.00°C) UG-32(g) (Large End)

P = 2*S*E*t*Cos(α) / (D + 1.20*t*Cos(α)) - Ps

= 2*1407*1.00*9.0003*Cos(2.920) / (1022.0073 + 1.20*9.0003*Cos(2.920)) -0.0000

= 24.49 kg/cm2

Small End MAWP (25.7667 kg/cm²) does not govern.

MAP, (New at 21.11°C) UG-32(g) (Large End)

P = 2*S*E*t*Cos(α) / (D + 1.20*t*Cos(α)) - Ps

=

13/28

2*1407*1.00*12.0000*Cos(2.920) / (1016.0000 + 1.20*12.0000*Cos(2.920)) -0.0000

= 32.73 kg/cm2

Small End MAP (34.4393 kg/cm²) does not govern.

External Pressure, (Corroded & at 70.00°C) UG-33(f)

DL = 1040.03 mmLe = (L/2)*(1+Ds/DL)

= (500.0000/2)*(1+989.0312/1040.0311)= 487.74 mm

te = t * Cos(α)= 2.434713

Le/DL = 487.7408/1040.0311 = 0.4690DL/te = 1040.0311/2.434713 = 427.1678From table G: A = 0.000334From table CS-2 Metric: B = 337.8688 kg/cm²

Pa = 4*B/(3*(DL/te))= 4*337.8688/(3*(1040.0311/2.434713))= 1.0546 kg/cm²


= te/Cos(α) + Corrosion = 2.434713/Cos(α) + 3.00 = 5.44 mm

Maximum Allowable External Pressure, (Corroded & at 70.00°C) UG-33(f)

te = t*Cos(α) = 8.99 mmLe/DL = 487.7408/1040.0311 = 0.4690DL/te = 1040.0311/8.9886 = 115.7059


Pa = 4*B/(3*(DL/te))= 4*1098.7589/(3*(1040.0311/8.9886))= 12.6615 kg/cm²


= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 12.0156 / 488.5078) * (1 - 488.5078 / ∞)= 1.2298 %

14/28

Cone juncture large end calculations, P =24.49 kg/cm2

Appendix 1-5(d)

LoadingArea check

required(∆ < α)

U-2(g)

analysisrequired

f1(kgf /cm)

QL

(kgf /cm)A

rL(cm2)

AeL

(cm2)Ring

area (cm2)Status

WeightCorroded No No -2.89 622.94 0 0.01 none OK

WeightNew No No -3.23 618.92 0 4.78 none OK

15/28

Cone large end calculations per Appendix 1-5(d), weight + pressure, corroded

f1 = -Wl/(π*2*Rm) + 12*Ml/(π*R

m2)

= -2,064.32/(π*2*20.2953) + 12*0/(π*20.29532)= -16.18835 lb/in (-2.890909 kg/cm)

P*RL/2 = 3,504.488 lb/in (625.8301 kg/cm)

|f1| <= P*RL/2 so a U-2(g) analysis is not required.

P/(Ss*E1) = 348.3916/(20,015.21*1) = 0.017406

From table 1-5.1 ∆ = 30°

As ∆ >= α no additional reinforcement is required.

Cone large end calculations per Appendix 1-5(d), weight + pressure, new

f1 = -Wl/(π*2*Rm) + 12*Ml/(π*R

m2)

= -2,302.8/(π*2*20.2362) + 12*0/(π*20.23622)= -18.11122 lb/in (-3.234294 kg/cm)

P*RL/2 = 3,483.916 lb/in (622.1563 kg/cm)


P/(Ss*E1) = 348.3916/(20,015.21*1) = 0.017406

From table 1-5.1 ∆ = 30°


Cone juncture small end calculations P = 24.49 kg/cm2

Appendix 1-5(e)

LoadingArea check

required(∆ < α)

U-2(g)

analysisrequired

f2(kgf /cm)

Qs(kgf /cm)

Ars(cm2)

Aes(cm2)

Ringarea (cm2)

Status

WeightCorroded No No -2.68 591.92 0 0.47 none OK

WeightNew No No -2.92 588.01 0 4.17 none OK

16/28

Cone small end calculations per Appendix 1-5(e), weight + pressure, corroded

f2 = -Ws/(π*2*Rm) + 12*Ms/(π*R

m2)

= -1,818.51/(π*2*19.2913) + 12*0/(π*19.29132)= -15.00287 lb/in (-2.679206 kg/cm)

P*Rs/2 = 3,329.607 lb/in (594.5999 kg/cm)

|f2| <= P*Rs/2 so a U-2(g) analysis is not required.

P/(Ss*E1) = 348.3916/(20,015.21*1) = 0.017406

From table 1-5.2 ∆ = 11.59°


Cone small end calculations per Appendix 1-5(e), weight + pressure, new

f2 = -Ws/(π*2*Rm) + 12*Ms/(π*R

m2)

= -1,976.05/(π*2*19.2323) + 12*0/(π*19.23232)= -16.35258 lb/in (-2.920236 kg/cm)

P*Rs/2 = 3,309.034 lb/in (590.926 kg/cm)


P/(Ss*E1) = 348.3916/(20,015.21*1) = 0.017406

From table 1-5.2 ∆ = 11.59°


Cone large end calculations for external pressure of 1.05 kg/cm2

Appendix 1-8(b)

Loading

Area

check

req'd∆< α

U-2(g)

analysisreq'd

f1(kgf /cm)

QL

(kgf /cm)A

rL(cm2)

AeL

(cm2)Ring

area (cm2)Area

statusI's

(cm4)I'

(cm4)I

status

WeightCorroded Yes No 2.89 30.31 0.05 9.58 none OK 28.0244 0.7201 Not

OK

17/28

Cone large end calculations per Appendix 1-8(b), weight + external pressure

f1 = Wl/(π*2*Rm) + 12*Ml/(π*R

m2)

= 2,064.32/(π*2*20.2953) + 12*0/(π*20.29532)= 16.18835 lb/in (2.890909 kg/cm)

P*RL/2 = 153.5433 lb/in (27.4197 kg/cm)

f1 + P*RL/2 is in compression so a U-2(g) analysis is not required.

P/(Ss*E1) = 15/(20,015.21*1) = 0.000749

From table 1-8.1 ∆ = 1.87°

As ∆ < α reinforcement is required.

QL = P*R

L/2 + f1

= 153.5433 + 16.1884= 169.7317 lb/in (30.31061 kg/cm)

ArL = (k*Q

L*R

L*tan(α)/(Ss*E1))*[1 - 0.25*((P*R

L-Q

L)/Q

L)*(∆/α)]

= (1*169.7317*20.4724*tan(2.9196)/(20,015.209*1))*[1 - 0.25*((15*20.4724-169.7317)/169.7317)*(1.87/2.9196)]= 0.0077 in2 (0.04972084 cm2)

AeL

= 0.55*(DL*ts)0.5*(ts + tc/cos(α))

= 0.55*(40.9449*0.3543)0.5*(0.3543 + 0.3543/cos(2.9196))= 1.4856 in2 (9.584602 cm2)

AeL

>= ArL therefore the large end juncture is adequately reinforced.

M = -RL*tan(α)/2 + L

L/2 + (R

L2 - Rs

2)/(3*RL*tan(α))

= -20.4724*tan(2.9196)/2 + 246.8505/2 + (20.47242 - 19.46852)/(3*20.4724*tan(2.9196))= 135.7048

Lc = (L2 + (RL - Rs)2)0.5

= (19.6852 + (20.4724 - 19.4685)2)0.5

= 19.71062

ATL

= LL*ts/2 + Lc * tc/2 + As

= 246.8505*0.3543/2 + 19.7106 * 0.3543/2 + 0= 47.22676

FL = P*M + f1*tan(α)

= 15*135.7048 + 16.1884*tan(2.9196)= 2,036.397

B = 0.75*FL*D

L/A

TL= 0.75*2,036.3972*40.9449/47.2268= 1,324.144

From Table CS-2 Metric: A = 0.000093 (shell, 70°C)

I's = A*DL2*A

TL/10.9

= 9.269183E-05*40.94492*47.2268/10.9= 0.67329 in4 (28.0244 cm4)

18/28

The calculated I' for the combined shell-cone cross section is 0.0173 in4 (0.7201 cm4)

** The large end is not adequately stiffened per Appendix 1-8(b). **

Cone small end calculations for external pressure of 1.05 kg/cm2

Appendix 1-8(c)

LoadingU-2(g)

analysisreq'd

f2(kgf /cm)

Qs

(kgf /cm)A

rs(cm2)

Aes

(cm2)Ring

area (cm2)Area

statusI's

(cm4)I'

(cm4)I

status

WeightCorroded No 2.68 28.75 0.05 6.99 none OK 5.7998 0.6993 Not

OK

19/28

Cone small end calculations per Appendix 1-8(c), weight + external pressure

f2 = Ws/(π*2*Rm) + 12*Ms/(π*R

m2)

= 1,818.51/(π*2*19.2913) + 12*0/(π*19.29132)= 15.00287 lb/in (2.679206 kg/cm)

P*Rs/2 = 146.0138 lb/in (26.07508 kg/cm)

f2 + P*Rs/2 is in compression so a U-2(g) analysis is not required.

Qs = P*Rs/2 + f2= 146.0138 + 15.0029= 161.0166 lb/in (28.75429 kg/cm)

Ars = (k*Qs*Rs*tan(α)/(Ss*E1))= (1*161.0166*19.4685*tan(2.9196)/(20,015.209*1))= 0.007987545 in2 (0.05153244 cm2)

Aes = 0.55*(Ds*ts)0.5*((ts - t) + (tc - tr)/cos(α))= 0.55*(38.937*0.3543)0.5*((0.3543 - 0.1395476) + (0.3543 - 0.0389885)/cos(2.9196))= 1.083891 in2 (6.992831 cm2)

Aes >= Ars therefore the small end juncture is adequately reinforced.

N = Rs*tan(α)/2 + Ls/2 + (RL2 - Rs

2)/(6*Rs*tan(α))= 19.4685*tan(2.9196)/2 + 50.7401/2 + (20.47242 - 19.46852)/(6*19.4685*tan(2.9196))= 32.59735

Lc = (L2 + (RL - Rs)2)0.5

= (19.6852 + (20.4724 - 19.4685)2)0.5

= 19.71062

Ats = Ls*ts/2 + Lc * tc/2 + As

= 50.7401*0.3543/2 + 19.7106 * 0.3543/2 + 0= 12.48179

Fs = P*N + f2*tan(α)

= 15*32.5974 + 15.0029*tan(2.9196)= 489.7254

B = 0.75*Fs*Ds/Ats= 0.75*489.7254*38.937/12.4818= 1,145.776

From Table CS-2 Metric: A = 0.00008 (shell, 70°C)

I's = A*Ds2*Ats/10.9

= 8.026024E-05*38.9372*12.4818/10.9= 0.13934 in4 (5.7998 cm4)

The calculated I' for the combined shell-cone cross section is 0.0168 in4 (0.6993 cm4)

20/28

** The small end is not adequately stiffened per Appendix 1-8(c). **

MAP Cone juncture large end calculations, P =32.73 kg/cm2

Appendix 1-5(d)

LoadingArea check

required(∆ < α)

U-2(g)

analysisrequired

f1(kgf /cm)

QL

(kgf /cm)A

rL(cm2)

AeL

(cm2)Ring

area (cm2)Status

Pressure No No 0 831.46 0 0.01 none OK

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Cone large end calculations per Appendix 1-5(d), pressure, new

f1 = -Wl/(π*2*Rm) + 12*Ml/(π*R

m2)

= -0/(π*2*20.2362) + 12*0/(π*20.23622)= 0 lb/in (0 kg/cm)

P*RL/2 = 4,655.961 lb/in (831.4597 kg/cm)


P/(Ss*E1) = 465.5961/(20,015.21*1) = 0.023262

From table 1-5.1 ∆ = 30°


MAP Cone juncture small end calculations P = 32.73 kg/cm2

Appendix 1-5(e)

LoadingArea check

required(∆ < α)

U-2(g)

analysisrequired

f2(kgf /cm)

Qs(kgf /cm)

Ars(cm2)

Aes(cm2)

Ringarea (cm2)

Status

Pressure No No 0 789.72 0 0.72 none OK

Cone small end calculations per Appendix 1-5(e), pressure, new

f2 = -Ws/(π*2*Rm) + 12*Ms/(π*R

m2)

= -0/(π*2*19.2323) + 12*0/(π*19.23232)= 0 lb/in (0 kg/cm)

P*Rs/2 = 4,422.247 lb/in (789.723 kg/cm)


P/(Ss*E1) = 465.5961/(20,015.21*1) = 0.023262

From table 1-5.2 ∆ = 13.32°


22/28

Cylinder #2


Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 22)Material is impact test exempt per UG-20(f)UCS-66 governing thickness = 12 mm

Internal design pressure: P = 23.1 kg/cm2 @ 70°CExternal design pressure: Pe = 1.05461 kg/cm2 @ 70°C

Static liquid head:





Radiography: Longitudinal joint - Full UW-11(a) Type 1Top circumferential joint - Full UW-11(a) Type 1Bottom circumferential joint - Full UW-11(a) Type 1

Estimated weight: New = 1821.3922 kg corr = 1370.0725 kgCapacity: New = 4864.3921 liters corr = 4922.0098 litersID = 1016.00 mmLength Lc = 6000.00 mmt = 12.00 mm

Design thickness, (at 70.00°C) UG-27(c)(1)

t = P*R/(S*E - 0.60*P) + Corrosion= 23.10*511.00/(1407*1.00 - 0.60*23.10) + 3.00= 11.4732 mm

Maximum allowable working pressure, (at 70.00°C) UG-27(c)(1)

P = S*E*t/(R + 0.60*t) - Ps= 1407*1.00*9.0003 / (511.00 + 0.60*9.0003) - 0.0000= 24.5261 kg/cm2

Maximum allowable pressure, (at 21.11°C) UG-27(c)(1)

P = S*E*t/(R + 0.60*t)= 1407*1.00*12.0000 / (508.00 + 0.60*12.0000)= 32.7766 kg/cm2

External Pressure, (Corroded & at 70.00°C) UG-28(c)

L/Do = 6270.0020/1040.0000 = 6.0288Do/t = 1040.0000/7.174323 = 144.9614

From table G: A = 0.000114

23/28

From table CS-2 Metric: B = 114.6580 kg/cm²

Pa = 4*B/(3*(Do/t))= 4*114.6580/(3*(1040.0000/7.174323))= 1.0546 kg/cm²


= t + Corrosion = 7.174323 + 3.00 = 10.17 mm

Maximum Allowable External Pressure, (Corroded & at 70.00°C) UG-28(c)

L/Do = 6270.0020/1040.00 = 6.0288Do/t = 1040.00/9.0003 = 115.5522


Pa = 4*B/(3*(Do/t))= 4*161.6773/(3*(1040.00/9.0003))= 1.8656 kg/cm²


= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 12.00 / 514.0000) * (1 - 514.0000 / ∞)= 1.1673 %

24/28

Welded Cover #1


Component: Welded CoverMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 22)Head is impact test exempt per UG-20(f)UCS-66 governing thickness = 14.25 mm.

Internal design pressure: P = 23.1000 kg/cm2 @ 70.00°CExternal design pressure: Pe = 1.0546 kg/cm2 @ 70.00°C

Static liquid head:





Radiography: Category A joints - Seamless No RT

Estimated weight: New = 362.0 kg corr = 342.9 kgHead outside diameter = 1064.00 mmCover thickness = 57.00 mm

Factor C from Fig. UG-34, sketch (b-1)

Factor C = 0.17

Design thickness, (at 70 °C) UG-34 (c)(2)

t = d*Sqr(C*P/(S*E)) + Corrosion= 40.2362*Sqr(0.17*328.5592/(20,015.21*1)) + 0.1181= 2.2436 in (56.99 mm)

Maximum allowable working pressure, (at 70 °C )

P = (S*E/C)*(t/d)2 - Ps= (20,015.21*1/0.17)*(2.126/40.2362)2 - 0= 328.701 psi (23.11 kg/cm2)

Maximum allowable pressure, (At 21.11 °C )

P = (S*E/C)*(t/d)2

= (20,015.21*1/0.17)*(2.2441/40)2

= 370.573 psi (26.05 kg/cm2)

Design thickness for external pressure, (at 70 °C) UG-34(c)(2)

t = d*Sqr(C*Pe/(S*E)) + Corrosion= 40.2362*Sqr(0.17*15/(20,015.21*1)) + 0.1181= 0.5723 in (14.54 mm)

25/28

Maximum allowable external pressure, (At 70 °C )

P = (S*E/C)*(t/d)2

= (20,015.21*1/0.17)*(2.126/40.2362)2

= 328.701 psi (23.11 kg/cm2)

26/28

Flange #1

Flange description: 36 inch Class 600 WN A105Bolt Material: SA-193 B7 Bolt <= 64Flange rated MDMT: -48°C(UCS-66(b)(3): Coincident ratio = 0.2220956)(Flange rated MDMT = -105 °CBolts rated MDMT per Fig UCS-66 note (e) = -48 °C)Liquid static head on flange: 0 kg/cm2

ASME B16.47 flange rating MAWP: 98.75 kg/cm2 @ 70°CASME B16.47 flange rating MAP: 104.05 kg/cm2 @ 21.11°CASME B16.47 flange hydro test: 156.43 kg/cm2 @ 21.11°C

27/28

Flange #3

Flange description: 40 inch Class 600 WN A105Bolt Material: SA-193 B7 Bolt <= 64Flange rated MDMT: -48°C(UCS-66(b)(3): Coincident ratio = 0.2220956)(Flange rated MDMT = -105 °CBolts rated MDMT per Fig UCS-66 note (e) = -48 °C)Liquid static head on flange: 0 kg/cm2

ASME B16.47 flange rating MAWP: 98.75 kg/cm2 @ 70°CASME B16.47 flange rating MAP: 104.05 kg/cm2 @ 21.11°CASME B16.47 flange hydro test: 156.43 kg/cm2 @ 21.11°C

28/28

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