Sample4_PVElite

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Code:

Code: ASME VIII-1ASME VIII-1 Year:

Year: 20072007 Cust:Cust: Pressure Vessel EngineeringPressure Vessel Engineering Addenda:

Addenda: 20092009 Desc:Desc: Sample Vessel 4Sample Vessel 4 MAWP:

MAWP: 150150 psipsi Dwg:Dwg: Sample 4Sample 4 MEAWP:

MEAWP: 00 psipsi ID:ID: Sample 4Sample 4 Max. Temp.:

Max. Temp.: 120120 °F°F MDMT:

MDMT: -20-20 °F°F MDMT Press.:

MDMT Press.: 150150 psipsi Min. Thk. (UG-16b):

Min. Thk. (UG-16b): 0.093750.09375 inin Corrosion Allowance:

Corrosion Allowance: 0.1250.125 inin Hydrotest:

Hydrotest: 195195 psipsi Impact Testing:

Impact Testing: NoNo Impact Exemption:

Impact Exemption: UG-20(f)UG-20(f) Radiography:

Radiography: NoneNone

Internal Press.: Internal Press.: YesYes External Press.: External Press.: NoNo

Vessel Weight: Vessel Weight: YesYes Weight of Attachments: Weight of Attachments: NoNo Attachment of Internals: Attachment of Internals: NoNo Attachment of Externals: Attachment of Externals: YesYes Cyclic or Dynamic Reactions: Cyclic or Dynamic Reactions: NoNo

Wind Loading: Wind Loading: NoNo Seismic Loading: Seismic Loading: YesYes Fluid Impact Shock Reactions: Fluid Impact Shock Reactions: NoNo

Temperature Gradients:

Temperature Gradients: NoNo

PVEcalc-Sa

PVEcalc-Sample 4

mple 4 Calulations

Calulations

Differential Thermal Expansion:

Differential Thermal Expansion: NoNo Author:Author: Brian MunnBrian Munn Abnormal Pressures:

Abnormal Pressures: NoNo Reviewer:Reviewer: Laurence BrundrettLaurence Brundrett Hydrotest Loads: Hydrotest Loads: NoNo www.pveng.com www.pveng.com [email protected] [email protected] Phone 519-880-9808 Phone 519-880-9808

Pressure Vessel Engineering Ltd. Pressure Vessel Engineering Ltd.

120 Randall Drive, Suite B 120 Randall Drive, Suite B Waterloo, Ontario, Canada, N2V 1C6 Waterloo, Ontario, Canada, N2V 1C6

ASME Calculations - CRN Assistance - Vessel Design - Finite Element Analysis ASME Calculations - CRN Assistance - Vessel Design - Finite Element Analysis

Design Conditions Design Conditions

ASME Section VIII-1 Calculations

UG-22 Loadings Considered UG-22 Loadings Considered

Conclusion

Conclusion: : The sample vessel The sample vessel has been has been calculatedcalculated to ASME Section VIII-1 and found

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0 0 Datum Datum 50 50 100 100 150 150 in in April 15, 2010 April 15, 2010 20 20 120 in x 59 in id 120 in x 59 in id 30 30 30 30

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Cover

Cover Page Page 11

Title

Title Page Page 22

Warnings

Warnings and and Errors Errors : : 33

Input

Input Echo Echo : : 44

XY

XY Coordinate Coordinate Calculations Calculations : : 99 Internal

Internal Pressure Pressure Calculations Calculations : : 1010 External

External Pressure Pressure Calculations Calculations : : 1515 Element

Element and and Detail Detail Weights Weights : : 1717 Nozzle

Nozzle Flange Flange MAWP MAWP : : 1919

Natural

Natural Frequency Frequency Calculation Calculation : : 2020 Earthquake

Earthquake Load Load Calculation Calculation : : 2121 Wind/Earthquake

Wind/Earthquake Shear, Shear, Bending Bending : : 2323 Longitudinal

Longitudinal Stress Stress Constants Constants : : 2424 Longitudinal

Longitudinal Allowable Allowable Stresses Stresses : : 2525 Longitudinal

Longitudinal Stresses Stresses Due Due to to . . . . 2626 Stress

Stress due due to to Combined Combined Loads Loads : : 2828 Center

Center of of Gravity Gravity Calculation Calculation : : 3232 Leg

Leg Check, Check, (Operating (Operating Case) Case) : : 3333 Leg

Leg Check, Check, (Filled (Filled w/Water) w/Water) : : 3535 Nozzle

Nozzle Calcs. Calcs. : : N2 N2 3737

Nozzle

Nozzle Calcs. Calcs. : : M2 M2 4141

Nozzle

Nozzle Calcs. Calcs. : : M1 M1 4949

Nozzle

Nozzle Schedule Schedule : : 5858

Nozzle

Nozzle Summary Summary : : 5959

MDMT

MDMT Summary Summary : : 6060

Vessel

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DESIGN CALCULATION DESIGN CALCULATION

In Accordance with ASME Section VIII Division 1 In Accordance with ASME Section VIII Division 1 ASME

ASME Code Code Version Version : : 2007, 2007, Addenda Addenda A-08A-08 Analysis Performed by : PRESSURE VESSEL

Analysis Performed by : PRESSURE VESSEL ENGINEERINGENGINEERING Job

Job File File : : L:\SAMPLES\SAMPLE L:\SAMPLES\SAMPLE 4-VERTICAL 4-VERTICAL VESSEL\SAMPLE VESSEL\SAMPLE 4.1.P4.1.P Date

Date of of Analysis Analysis : : Apr Apr 15,201015,2010 PV

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FileName

FileName : : Sample Sample 4.1 4.1 --- --- Page Page 3 3 of of 6262 Warnings

Warnings and and Errors Errors : : Step: Step: 0 0 8:15a 8:15a Apr Apr 15,201015,2010

Class From To : Basic Element Checks. Class From To : Basic Element Checks.

========================================================================== ========================================================================== Note

Note 10 10 20 20 The The wind wind load load will will not not be be computed computed on on this this element.element. Note

Note 20 20 30 30 The The wind wind load load will will not not be be computed computed on on this this element.element. Note

Note 30 30 40 40 The The wind wind load load will will not not be be computed computed on on this this element.element. Class From To: Check of Additional Element Data

Class From To: Check of Additional Element Data

========================================================================== ========================================================================== Warn

Warn 10 10 20 20 Check Check UG-32(j) UG-32(j) and and UG-81 UG-81 for for Crown Crown Radius Radius > > ODOD Warn

Warn 30 30 40 40 Check Check UG-32(j) UG-32(j) and and UG-81 UG-81 for for Crown Crown Radius Radius > > ODOD

PVElite is a registered trademark of COADE, Inc. [2009]

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FileName

FileName : : Sample Sample 4.1 4.1 --- --- Page Page 4 4 of of 6262 Input

Input Echo Echo : : Step: Step: 1 1 8:15a 8:15a Apr Apr 15,201015,2010

PV Elite Vessel Analysis Program: Input Data PV Elite Vessel Analysis Program: Input Data

Design

Design Internal Internal Pressure Pressure (for (for Hydrotest) Hydrotest) 150.00 150.00 psigpsig Design

Design Internal Internal Temperature Temperature 120 120 FF Type

Type of of Hydrotest Hydrotest UG99-bUG99-b Hydrotest

Hydrotest Position Position VerticalVertical Projection

Projection of of Nozzle Nozzle from from Vessel Vessel Top Top 0.0000 0.0000 inin Projection

Projection of of Nozzle Nozzle from from Vessel Vessel Bottom Bottom 0.0000 0.0000 inin Minimum

Minimum Design Design Metal Metal Temperature Temperature -20 -20 FF Type

Type of of Construction Construction WeldedWelded Special

Special Service Service NoneNone

Degree

Degree of of Radiography Radiography NoneNone Miscellaneous

Miscellaneous Weight Weight Percent Percent 0.0. Use

Use Higher Higher Longitudinal Longitudinal Stresses Stresses (Flag) (Flag) NN Select

Select t t for for Internal Internal Pressure Pressure (Flag) (Flag) NN Select

Select t t for for External External Pressure Pressure (Flag) (Flag) NN Select

Select t t for for Axial Axial Stress Stress (Flag) (Flag) NN Select

Select Location Location for for Stiff. Stiff. Rings Rings (Flag) (Flag) NN Consider

Consider Vortex Vortex Shedding Shedding NN Perform

Perform a a Corroded Corroded Hydrotest Hydrotest NN Is

Is this this a a Heat Heat Exchanger Exchanger NoNo User

User Defined Defined Hydro. Hydro. Press. Press. (Used (Used if if > > 0) 0) 0.0000 0.0000 psigpsig User

User defined defined MAWP MAWP 0.0000 0.0000 psigpsig User

User defined defined MAPnc MAPnc 0.0000 0.0000 psigpsig Load

Load Case Case 1 1 NP+EW+WI+FW+BWNP+EW+WI+FW+BW Load

Load Case Case 2 2 NP+EW+EE+FS+BSNP+EW+EE+FS+BS Load

Load Case Case 3 3 NP+OW+WI+FW+BWNP+OW+WI+FW+BW Load

Load Case Case 4 4 NP+OW+EQ+FS+BSNP+OW+EQ+FS+BS Load

Load Case Case 5 5 NP+HW+HINP+HW+HI

Load

Load Case Case 6 6 NP+HW+HENP+HW+HE

Load

Load Case Case 7 7 IP+OW+WI+FW+BWIP+OW+WI+FW+BW Load

Load Case Case 8 8 IP+OW+EQ+FS+BSIP+OW+EQ+FS+BS Load

Load Case Case 9 9 EP+OW+WI+FW+BWEP+OW+WI+FW+BW Load

Load Case Case 10 10 EP+OW+EQ+FS+BSEP+OW+EQ+FS+BS Load

Load Case Case 11 11 HP+HW+HIHP+HW+HI Load

Load Case Case 12 12 HP+HW+HEHP+HW+HE Load

Load Case Case 13 13 IP+WE+EWIP+WE+EW Load

Load Case Case 14 14 IP+WF+CWIP+WF+CW Load

Load Case Case 15 15 IP+VO+OWIP+VO+OW Load

Load Case Case 16 16 IP+VE+OWIP+VE+OW Load

Load Case Case 17 17 IP+VF+CWIP+VF+CW Load

Load Case Case 18 18 FS+BS+IP+OWFS+BS+IP+OW Load

Load Case Case 19 19 FS+BS+EP+OWFS+BS+EP+OW Wind

Wind Design Design Code Code No No Wind Wind LoadsLoads Seismic

Seismic Design Design Code Code IBC IBC 20002000 Importance

Importance Factor Factor 1.0001.000

Table

Table Value Value Fa Fa 1.2001.200

Table

Table Value Value Fv Fv 2.8002.800

Short

Short Period Period Acceleration Acceleration value value Ss Ss 0.7500.750 Long

Long Period Period Acceleration Acceleration Value Value Sl Sl 0.3000.300 Moment

Moment Reduction Reduction Factor Factor Tau Tau 1.0001.000 Force

Force Modification Modification Factor Factor R R 2.0002.000 Site

Site Class Class EE

Component

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FileName

Input Echo Echo : : Step: Step: 1 1 8:15a 8:15a Apr Apr 15,201015,2010 Amplification

Amplification Factor Factor Ap Ap 0.0000.000 Force

Force Factor Factor 0.0000.000

Consider

Consider Vertical Vertical Acceleration Acceleration NoNo Minimum

Minimum Acceleration Acceleration Multiplier Multiplier 0.0000.000 User

User Value Value of of Sds Sds (used (used if if > > 0 0 ) ) 0.0000.000 User

User Value Value of of Sd1 Sd1 (used (used if if > > 0 0 ) ) 0.0000.000 Design

Design Nozzle Nozzle for for Des. Des. Press. Press. + + St. St. Head Head YY Consider

Consider MAP MAP New New and and Cold Cold in in Noz. Noz. Design Design NN Consider

Consider External External Loads Loads for for Nozzle Nozzle Des. Des. YY Use

Use ASME ASME VIII-1 VIII-1 Appendix Appendix 1-9 1-9 NN Material

Material Database Database Year Year Current Current w/Addenda w/Addenda or or Code Code YearYear

Complete Listing of Vessel Elements and Details: Complete Listing of Vessel Elements and Details:

Element

Element From From Node Node 1010

Element

Element To To Node Node 2020

Element

Element Type Type Torisphe.Torisphe.

Description

Description Bottom Bottom HeadHead

Distance

Distance "FROM" "FROM" to to "TO" "TO" 1.5000 1.5000 inin Element

Element Outside Outside Diameter Diameter 60.000 60.000 inin Element

Element Thickness Thickness 0.6750 0.6750 inin Internal

Internal Corrosion Corrosion Allowance Allowance 0.1250 0.1250 inin Nominal

Nominal Thickness Thickness 0.7500 0.7500 inin External

External Corrosion Corrosion Allowance Allowance 0.0000 0.0000 inin Design

Design Internal Internal Pressure Pressure 150.00 150.00 psigpsig Design

Design Temperature Temperature Internal Internal Pressure Pressure 120 120 FF Design

Design External External Pressure Pressure 0.0000 0.0000 psigpsig Design

Design Temperature Temperature External External Pressure Pressure 70 70 FF Effective

Effective Diameter Diameter Multiplier Multiplier 0.0. Material

Material Name Name SA-516 SA-516 7070 Allowable

Allowable Stress, Stress, Ambient Ambient 20000. 20000. psipsi Allowable

Allowable Stress, Stress, Operating Operating 20000. 20000. psipsi Allowable

Allowable Stress, Stress, Hydrotest Hydrotest 26000. 26000. psipsi Material

Material Density Density 0.2830 0.2830 lbm/in³lbm/in³ P

P Number Number Thickness Thickness 1.2500 1.2500 inin Yield

Yield Stress, Stress, Operating Operating 37080. 37080. psipsi UCS-66

UCS-66 Chart Chart Curve Curve Designation Designation BB External

External Pressure Pressure Chart Chart Name Name CS-2CS-2 UNS

UNS Number Number K02700K02700

Product

Product Form Form PlatePlate

Efficiency,

Efficiency, Longitudinal Longitudinal Seam Seam 0.850.85 Efficiency,

Efficiency, Circumferential Circumferential Seam Seam 0.70.7 Tori

Tori Head Head Crown Crown Radius Radius 60.000 60.000 inin Tori

Tori Head Head Knuckle Knuckle Radius Radius 3.6000 3.6000 inin Element

Detail

Detail Type Type LiquidLiquid

Detail

Detail ID ID BOTTOM BOTTOM HEADHEAD Dist.

Dist. from from "FROM" "FROM" Node Node / / Offset Offset dist dist -10.212 in-10.212 in Height/Length

Height/Length of of Liquid Liquid 11.712 11.712 inin Liquid

Liquid Density Density 62.400 62.400 lbm/ft³lbm/ft³ Element

Detail

Detail Type Type NozzleNozzle

Detail

Detail ID ID N2N2

Dist.

Dist. from from "FROM" "FROM" Node Node / / Offset Offset dist dist 0.0000 0.0000 inin Nozzle

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FileName

Input Echo Echo : : Step: Step: 1 1 8:15a 8:15a Apr Apr 15,201015,2010 Nozzle

Nozzle Schedule Schedule 160160

Nozzle

Nozzle Class Class 150150

Layout

Layout Angle Angle 0.0.

Blind

Blind Flange Flange (Y/N) (Y/N) NN Weight

Weight of of Nozzle Nozzle ( ( Used Used if if > > 0 0 ) ) 0.0000 0.0000 lbflbf Grade

Grade of of Attached Attached Flange Flange GR GR 1.11.1 Nozzle

Nozzle Matl Matl SA-106 SA-106 BB

---Element

Element

Element Type Type CylinderCylinder

Description Shell

Distance

Material Name Name SA-516 SA-516 7070 Efficiency,

Efficiency, Circumferential Circumferential Seam Seam 0.70.7 Element

Detail

Detail ID ID SHELLSHELL

Dist.

Dist. from from "FROM" "FROM" Node Node / / Offset Offset dist dist 0.0000 0.0000 inin Height/Length

Detail

Detail ID ID M2M2

Dist.

Nozzle Diameter Diameter 16. 16. in.in. Nozzle

Nozzle Schedule Schedule NoneNone

Nozzle

Layout

Blind

Grade of of Attached Attached Flange Flange NoneNone Nozzle

Element

Detail

Detail ID ID N1N1

Dist.

Nozzle Schedule Schedule 160160

Nozzle

Layout

Blind

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FileName

Input Echo Echo : : Step: Step: 1 1 8:15a 8:15a Apr Apr 15,201015,2010 Grade

Grade of of Attached Attached Flange Flange GR GR 1.11.1 Nozzle

Element

Detail

Detail Type Type LegLeg

Detail

Detail ID ID LEGSLEGS

Dist.

Dist. from from "FROM" "FROM" Node Node / / Offset Offset dist dist 12.500 12.500 inin Diameter

Diameter at at Leg Leg Centerline Centerline 60.500 60.500 inin Leg

Leg Orientation Orientation 33

Number

Number of of Legs Legs 44

Section

Section Identifier Identifier W6X15W6X15 Length

Length of of Legs Legs 42.500 42.500 inin

---Element

Element

Element Type Type Torisphe.Torisphe.

Description

Description Top Top HeadHead

Distance

Material Name Name SA-516 SA-516 7070 Efficiency,

Efficiency, Circumferential Circumferential Seam Seam 0.70.7 Tori

Tori Head Head Crown Crown Radius Radius 60.000 60.000 inin Tori

Tori Head Head Knuckle Knuckle Radius Radius 3.6000 3.6000 inin Element

Detail

Detail ID ID TOP TOP HEADHEAD

Dist.

Dist. from from "FROM" "FROM" Node Node / / Offset Offset dist dist 0.0000 0.0000 inin Height/Length

Detail

Detail ID ID M1M1

Dist.

Nozzle

Layout

Blind

Element

Detail

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FileName

Input Echo Echo : : Step: Step: 1 1 8:15a 8:15a Apr Apr 15,201015,2010 Dist.

Nozzle Diameter Diameter 2.25 2.25 in.in. Nozzle

Nozzle

Layout

Blind

Nozzle Matl Matl SA-105SA-105

PVElite is a registered trademark of COADE, Inc. [2009]

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FileName

FileName : : Sample Sample 4.1 4.1 --- --- Page Page 9 9 of of 6262 XY

XY Coordinate Coordinate Calculations Calculations : : Step: Step: 2 2 8:15a 8:15a Apr Apr 15,201015,2010

XY Coordinate Calculations XY Coordinate Calculations

|

| | | | | | | | | ||

From|

From| To To | | X X (Horiz.)| (Horiz.)| Y Y (Vert.) (Vert.) |DX |DX (Horiz.)| (Horiz.)| DY DY (Vert.) (Vert.) || |

| | | in in | | in in | | in in | | in in || Bottom

Bottom Hea| Hea| 0.00000 0.00000 | | 1.50000 1.50000 | | 0.00000 0.00000 | | 1.50000 1.50000 || Shell|

Shell| 0.00000 0.00000 | | 121.500 121.500 | | 0.00000 0.00000 | | 120.000 120.000 || Top

Top Head| Head| 0.00000 0.00000 | | 123.000 123.000 | | 0.00000 0.00000 | | 1.50000 1.50000 ||

PVElite is a registered trademark of COADE, Inc. [2009]

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FileName

FileName : : Sample Sample 4.1 4.1 --- --- Page Page 10 10 of of 6262 Internal

Internal Pressure Pressure Calculations Calculations : : Step: Step: 3 3 8:15a 8:15a Apr Apr 15,201015,2010

Element Thickness, Pressure,

Element Thickness, Pressure, Diameter and AllowDiameter and Allow able Stress :able Stress :

|

| | | Int. Int. Press Press | | Nominal Nominal | | Total Total Corr| Corr| Element Element | | Allowable Allowable || From|

| | | psig psig | | in in | | in in | | in in | | psi psi || Bottom

Bottom Hea| Hea| 155.170 155.170 | | 0.75000 0.75000 | | 0.12500 0.12500 | | 60.0000 60.0000 | | 17000.0 17000.0 || Shell|

Shell| 154.747 154.747 | | 0.50000 0.50000 | | 0.12500 0.12500 | | 60.0000 60.0000 | | 14000.0 14000.0 || Top

Top Head| Head| 150.414 150.414 | | 0.75000 0.75000 | | 0.12500 0.12500 | | 60.0000 60.0000 | | 17000.0 17000.0 ||

Element Required Thickness

Element Required Thickness and MAWP and MAWP ::

|

| | | Design Design | | M.A.W.P. M.A.W.P. | | M.A.P. M.A.P. | | Minimum Minimum | | Required Required || From|

From| To To | | Pressure Pressure | | Corroded Corroded | | New New & & Cold Cold | | Thickness Thickness | | Thickness Thickness || |

| | | psig psig | | psig psig | | psig psig | | in in | | in in || Bottom

Bottom Hea| Hea| 150.000 150.000 | | 171.925 171.925 | | 215.752 215.752 | | 0.67500 0.67500 | | 0.60739 0.60739 || Shell|

Shell| 150.000 150.000 | | 171.132 171.132 | | 234.899 234.899 | | 0.50000 0.50000 | | 0.45514 0.45514 || Top

Top Head| Head| 150.000 150.000 | | 176.735 176.735 | | 215.752 215.752 | | 0.67500 0.67500 | | 0.59254 0.59254 || Minimum

Minimum 171.132 171.132 215.751215.751

MAWP: 171.132 psig, limited by: Shell.

Internal Pressure Calculation Results : Internal Pressure Calculation Results : A

ASME Code, Section VIIISME Code, Section VIII , Division 1, 2007 A-08, Division 1, 2007 A-08 Torispherical He

Torispherical He ad From 10 To 20 SA-516 70 , UCS-66 Crv. B at 120 Fad From 10 To 20 SA-516 70 , UCS-66 Crv. B at 120 F

Bottom Head

Longitudinal

Longitudinal Joint: Joint: SeamlessSeamless

Circumferential

Circumferential Joint: Joint: No No Radiography per Radiography per UW UW 11(c) 11(c) Type Type 11

Inside Corroded Head Depth [h]: Inside Corroded Head Depth [h]:

= L - sqrt( ( L - Di / = L - sqrt( ( L - Di / 2) * ( L + Di / 2 - 2) * ( L + Di / 2 - 2 * r ) )2 * r ) ) = = 60.12-sqrt((60.12-60.25/2)*(60.12+60.25/2-2*60.12-sqrt((60.12-60.25/2)*(60.12+60.25/2-2*3.72))3.72)) = 10.285 in = 10.285 in

M factor for Torispherical Heads ( Corroded ):

= (3+sqrt((L+C)/(r+C)))/4 per Appendix 1-4 (b & d) = (3+sqrt((L+C)/(r+C)))/4 per Appendix 1-4 (b & d) = (3+sqrt((60.000 + 0.1250 )/(3.600 + 0.1250 )))/4 = (3+sqrt((60.000 + 0.1250 )/(3.600 + 0.1250 )))/4 = 1.7544

= 1.7544

Required Thickness due to Internal Pressure [tr]: Required Thickness due to Internal Pressure [tr]:

= (P*Lo*M)/(2*S*E+P*(M-0.2)) per Appendix 1-4 (d) = (P*Lo*M)/(2*S*E+P*(M-0.2)) per Appendix 1-4 (d) =

= (155.170*60.6750*1.7544)/(2*20000.00*0.85+15(155.170*60.6750*1.7544)/(2*20000.00*0.85+155.17*(1.7544-0.2))5.17*(1.7544-0.2)) = 0.4824 + 0.1250 = 0.6074 in

= 0.4824 + 0.1250 = 0.6074 in

Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: Less Operating Hydrostatic Head Pressure of 5.170 psig

Less Operating Hydrostatic Head Pressure of 5.170 psig

= (2*S*E*t)/(M*Lo-t*(M-0.2)) per Appendix 1-4 (d) = (2*S*E*t)/(M*Lo-t*(M-0.2)) per Appendix 1-4 (d) =

= (2*20000.00*0.85*0.5500)/(1.7544*60.6750-0.5(2*20000.00*0.85*0.5500)/(1.7544*60.6750-0.5500*(1.75-0.2))500*(1.75-0.2)) =

= 177.095 177.095 - - 5.170 5.170 = = 171.925 171.925 psigpsig

M factor for Torispherical Heads ( New & Cold ):

= (3+sqrt(L/r))/4 per Appendix 1-4 (b & d) = (3+sqrt(L/r))/4 per Appendix 1-4 (b & d) = (3+sqrt(60.000/3.600))/4

= (3+sqrt(60.000/3.600))/4 = 1.7706

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FileName

Maximum Allowable Pressure, New and Cold [MAPNC]: Maximum Allowable Pressure, New and Cold [MAPNC]:

= (2*S*E*t)/(M*Lo - t*(M-0.2)) per Appendix 1-4 (d) = (2*S*E*t)/(M*Lo - t*(M-0.2)) per Appendix 1-4 (d) =

= (2*20000.00*0.85*0.6750)/(1.7706*60.6750-2*0(2*20000.00*0.85*0.6750)/(1.7706*60.6750-2*0.6750*(1.77-0.2)).6750*(1.77-0.2)) = 215.752 psig

= 215.752 psig

Actual stress at given pressure and thickness, corroded [Sact]: Actual stress at given pressure and thickness, corroded [Sact]:

= (P*(M*Lo-t*(M-0.2)))/(2*E*t) = (P*(M*Lo-t*(M-0.2)))/(2*E*t) = = (155.170*(1.7544*60.6750-0.5500*(1.7544-0.2)(155.170*(1.7544*60.6750-0.5500*(1.7544-0.2)))/(2*0.85*0.5500)))/(2*0.85*0.5500) = 17523.934 psi = 17523.934 psi

Straight Flange Required Thickness:

=

= (P*Ro)/(S*E+0.4*P) (P*Ro)/(S*E+0.4*P) + + c c per per Appendix Appendix 1-1 1-1 (a)(1)(a)(1) =

= (155.170*30.0000)/(20000.00*0.85+0.4*155.170(155.170*30.0000)/(20000.00*0.85+0.4*155.170)+0.125)+0.125 = 0.398 in

= 0.398 in

Straight Flange Maximum Allowable Working Pressure:

= (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1)

= (20000.00 * 0.85 * 0.6250 ) / (30.0000 - 0.4 * 0.6250 ) = (20000.00 * 0.85 * 0.6250 ) / (30.0000 - 0.4 * 0.6250 ) =

= 357.143 357.143 - - 5.170 5.170 = = 351.973 351.973 psigpsig Percent

Percent Elongation Elongation per per UCS-79 UCS-79 (75*tnom/Rf)*(1-Rf/Ro) (75*tnom/Rf)*(1-Rf/Ro) 14.151 14.151 %%

Note: Please Check Requirements of UCS-79 as Elongation is > 5%.

MDMT Calculations in the Knuckle Portion:

Govrn. thk, tg = 0.675 , tr = 0.482 , c = 0.1250 in , E* = 0.85

Stress Ratio = tr * (E*) / (tg - c) = 0.746 , Temp. Reduction = 25 F

Min

Min Metal Metal Temp. Temp. w/o w/o impact impact per per UCS-66 UCS-66 10 10 FF Min

Min Metal Metal Temp. Temp. at at Required Required thickness thickness (UCS (UCS 66.1) 66.1) -15 -15 FF Min

Min Metal Metal Temp. Temp. w/o w/o impact impact per per UG-20(f) UG-20(f) -20 -20 FF

MDMT Calculations in the Head Straight Flange:

Govrn. thk, tg = 0.750 , tr = 0.264 , c = 0.1250 in , E* = 0.85

Stress Ratio = tr * (E*) / (tg - c) = 0.360 , Temp. Reduction = 130 F

Min

Cylindrical Shell From 20 To 30 SA-516 70 , UCS-66 Crv.

Cylindrical Shell From 20 To 30 SA-516 70 , UCS-66 Crv. B at 120 B at 120 FF

Shell

Longitudinal

Longitudinal Joint: Joint: No No Radiography Radiography per per UW UW 11(c) 11(c) Type Type 11

Circumferential

= (P*Ro)/(S*E+0.4*P) per Appendix 1-1 (a)(1) = (P*Ro)/(S*E+0.4*P) per Appendix 1-1 (a)(1) =

= (154.747*30.0000)/(20000.00*0.70+0.4*154.747(154.747*30.0000)/(20000.00*0.70+0.4*154.747)) = 0.3301 + 0.1250 = 0.4551 in

= 0.3301 + 0.1250 = 0.4551 in

= (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (20000.00*0.70*0.3750)/(30.0000-0.4*0.3750) = (20000.00*0.70*0.3750)/(30.0000-0.4*0.3750) =

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FileName

= (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (20000.00*0.70*0.5000)/(30.0000-0.4*0.5000) = (20000.00*0.70*0.5000)/(30.0000-0.4*0.5000) = 234.899 psig

= 234.899 psig

= (P*(Ro-0.4*t))/(E*t) = (P*(Ro-0.4*t))/(E*t) = = (154.747*((30.0000-0.4*0.3750))/(0.70*0.3750(154.747*((30.0000-0.4*0.3750))/(0.70*0.3750)) = 17596.973 psi = 17596.973 psi Percent

Minimum Design Metal Temperature Results:

Govrn. thk, tg = 0.500 , tr = 0.330 , c = 0.1250 in , E* = 0.80

Stress Ratio = tr * (E*) / (tg - c) = 0.704 , Temp. Reduction = 30 F

Min

Min Metal Metal Temp. Temp. w/o w/o impact impact per per UCS-66 UCS-66 -6 -6 FF Min

Torispherical He

Torispherical He ad From 30 To 40 SA-516 70 , UCS-66 Crv. B at 120 Fad From 30 To 40 SA-516 70 , UCS-66 Crv. B at 120 F

Top Head

Longitudinal

Longitudinal Joint: Joint: SeamlessSeamless

Circumferential

Inside Corroded Head Depth [h]: Inside Corroded Head Depth [h]:

= L - sqrt( ( L - Di / = L - sqrt( ( L - Di / 2) * ( L + Di / 2 - 2) * ( L + Di / 2 - 2 * r ) )2 * r ) ) = = 60.12-sqrt((60.12-60.25/2)*(60.12+60.25/2-2*60.12-sqrt((60.12-60.25/2)*(60.12+60.25/2-2*3.72))3.72)) = 10.285 in = 10.285 in

M factor for Torispherical Heads ( Corroded ):

= (3+sqrt((L+C)/(r+C)))/4 per Appendix 1-4 (b & d) = (3+sqrt((L+C)/(r+C)))/4 per Appendix 1-4 (b & d) = (3+sqrt((60.000 + 0.1250 )/(3.600 + 0.1250 )))/4 = (3+sqrt((60.000 + 0.1250 )/(3.600 + 0.1250 )))/4 = 1.7544

= 1.7544

= (P*Lo*M)/(2*S*E+P*(M-0.2)) per Appendix 1-4 (d) = (P*Lo*M)/(2*S*E+P*(M-0.2)) per Appendix 1-4 (d) =

= (150.360*60.6750*1.7544)/(2*20000.00*0.85+15(150.360*60.6750*1.7544)/(2*20000.00*0.85+150.36*(1.7544-0.2))0.36*(1.7544-0.2)) = 0.4675 + 0.1250 = 0.5925 in

= 0.4675 + 0.1250 = 0.5925 in

= (2*S*E*t)/(M*Lo-t*(M-0.2)) per Appendix 1-4 (d) = (2*S*E*t)/(M*Lo-t*(M-0.2)) per Appendix 1-4 (d) =

= (2*20000.00*0.85*0.5500)/(1.7544*60.6750-0.5(2*20000.00*0.85*0.5500)/(1.7544*60.6750-0.5500*(1.75-0.2))500*(1.75-0.2)) =

= 177.095 177.095 - - 0.360 0.360 = = 176.735 176.735 psigpsig

M factor for Torispherical Heads ( New & Cold ):

= (3+sqrt(L/r))/4 per Appendix 1-4 (b & d) = (3+sqrt(L/r))/4 per Appendix 1-4 (b & d) = (3+sqrt(60.000/3.600))/4

= (3+sqrt(60.000/3.600))/4 = 1.7706

= 1.7706

= (2*S*E*t)/(M*Lo - t*(M-0.2)) per Appendix 1-4 (d) = (2*S*E*t)/(M*Lo - t*(M-0.2)) per Appendix 1-4 (d) =

= (2*20000.00*0.85*0.6750)/(1.7706*60.6750-2*0(2*20000.00*0.85*0.6750)/(1.7706*60.6750-2*0.6750*(1.77-0.2)).6750*(1.77-0.2)) = 215.752 psig

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FileName

= (P*(M*Lo-t*(M-0.2)))/(2*E*t) = (P*(M*Lo-t*(M-0.2)))/(2*E*t) = = (150.360*(1.7544*60.6750-0.5500*(1.7544-0.2)(150.360*(1.7544*60.6750-0.5500*(1.7544-0.2)))/(2*0.85*0.5500)))/(2*0.85*0.5500) = 16980.678 psi = 16980.678 psi

Straight Flange Required Thickness:

=

= (P*Ro)/(S*E+0.4*P) (P*Ro)/(S*E+0.4*P) + + c c per per Appendix Appendix 1-1 1-1 (a)(1)(a)(1) =

= (150.360*30.0000)/(20000.00*0.85+0.4*150.360(150.360*30.0000)/(20000.00*0.85+0.4*150.360)+0.125)+0.125 = 0.389 in

= 0.389 in

Straight Flange Maximum Allowable Working Pressure:

= (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1)

= (20000.00 * 0.85 * 0.6250 ) / (30.0000 - 0.4 * 0.6250 ) = (20000.00 * 0.85 * 0.6250 ) / (30.0000 - 0.4 * 0.6250 ) =

= 357.143 357.143 - - 0.360 0.360 = = 356.783 356.783 psigpsig Percent

Note: Please Check Requirements of UCS-79 as Elongation is > 5%.

MDMT Calculations in the Knuckle Portion:

Govrn. thk, tg = 0.675 , tr = 0.468 , c = 0.1250 in , E* = 0.85

Stress Ratio = tr * (E*) / (tg - c) = 0.723 , Temp. Reduction = 28 F

Min

MDMT Calculations in the Head Straight Flange:

Govrn. thk, tg = 0.750 , tr = 0.264 , c = 0.1250 in , E* = 0.85

Stress Ratio = tr * (E*) / (tg - c) = 0.360 , Temp. Reduction = 130 F

Min

Note: Heads and Shells Exempted to -20F (-29C) by paragraph UG-20F

Hydrostatic Test Pressure Results: Hydrostatic Test Pressure Results:

Pressure

Pressure per per UG99b UG99b = = 1.3 1.3 * * M.A.W.P. M.A.W.P. * * Sa/S Sa/S 222.472 222.472 psigpsig Pressure

Pressure per per UG99b[34] UG99b[34] = = 1.3 1.3 * * Design Design Pres Pres * * Sa/S Sa/S 195.000 195.000 psigpsig Pressure

Pressure per per UG99c UG99c = = 1.3 1.3 * * M.A.P. M.A.P. - - Head(Hyd) Head(Hyd) 275.327 psig275.327 psig Pressure

Pressure per per UG100 UG100 = = 1.1 1.1 * * M.A.W.P. M.A.W.P. * * Sa/S Sa/S 188.245 188.245 psigpsig

Vertical Test performed per: UG-99b Vertical Test performed per: UG-99b

Stresses on Elements due

Stresses on Elements due to Hydrostatic Test Pressure:to Hydrostatic Test Pressure:

From

From To To Stress Stress Allowable Allowable Ratio Ratio PressurePressure Bottom

Bottom Head Head 21100.3 21100.3 26000.0 26000.0 0.812 0.812 227.62227.62 Shell

Shell 19345.6 19345.6 26000.0 26000.0 0.744 0.744 227.21227.21 Top

Top Head Head 20660.8 20660.8 26000.0 26000.0 0.795 0.795 222.88222.88

Elements Suitable for Internal Pressure.

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FileName : : Sample Sample 4.1 4.1 --- --- Page Page 15 15 of of 6262 External

External Pressure Pressure Calculations Calculations : : Step: Step: 4 4 8:15a 8:15a Apr Apr 15,201015,2010

External Pressure Calculation Results : External Pressure Calculation Results : A

ASME Code, Section VIIISME Code, Section VIII , Division 1, 2007 A-08, Division 1, 2007 A-08 Toris

Torispherical Head From 10 pherical Head From 10 to 20 Ext. Chart: CS-2 at 70 Fto 20 Ext. Chart: CS-2 at 70 F

Bottom Head

Elastic Modulus

Elastic Modulus from C

from Chart: C

hart: CS-2

S-2 at 70

at 70 F

F :

: 0.29000E+08

0.29000E+08 psi

psi

Results for Maximum Allowable External Pressure (MAEP):

Tca

Tca Sph. Sph. Rad Rad Ro/t Ro/t Factor Factor A A BB 0.550

0.550 60.67 60.67 110.32 110.32 0.0011331 0.0011331 12914.9612914.96 EMAP = B/(Ro/t) = 12914.9561 /110.3182 = 117.0701 psig EMAP = B/(Ro/t) = 12914.9561 /110.3182 = 117.0701 psig

Cylindrical Shell From 20

Cylindrical Shell From 20 to 30 Extto 30 Ext . Chart: . Chart: CS-2 at 70 FCS-2 at 70 F

Shell

Elastic Modulus

Elastic Modulus from C

from Chart: C

hart: CS-2

S-2 at 70

at 70 F

F :

: 0.29000E+08

0.29000E+08 psi

psi

Results for Maximum Allowable External Pressure (MAEP):

Tca

Tca OD OD SLEN SLEN D/t D/t L/D L/D Factor Factor A A BB 0.375

0.375 60.00 60.00 129.54 129.54 160.00 160.00 2.1590 2.1590 0.0003025 0.0003025 4386.304386.30 EMAP = (4*B)/(3*(D/t)) = (4*4386.2959 )/(3*160.0000 ) = 36.5525 psig EMAP = (4*B)/(3*(D/t)) = (4*4386.2959 )/(3*160.0000 ) = 36.5525 psig

Results for Maximum Stiffened Length (Slen):

Tca

Tca OD OD SLEN SLEN D/t D/t L/D L/D Factor Factor A A BB 0.375

0.375 60.00 60.00 0.33E+33 0.33E+33 160.00 160.00 .5000E+02 .5000E+02 0.0000430 0.0000430 623.05623.05 EMAP = (4*B)/(3*(D/t)) = (4*623.0469 )/(3*160.0000 ) = 5.1921 psig EMAP = (4*B)/(3*(D/t)) = (4*623.0469 )/(3*160.0000 ) = 5.1921 psig

Toris

Torispherical Head From 30 pherical Head From 30 to 40 Ext. Chart: CS-2 at 70 Fto 40 Ext. Chart: CS-2 at 70 F

Top Head

Elastic Modulus

Elastic Modulus from C

from Chart: C

hart: CS-2

S-2 at 70

at 70 F

F :

: 0.29000E+08

0.29000E+08 psi

psi

Results for Maximum Allowable External Pressure (MAEP):

Tca

Tca Sph. Sph. Rad Rad Ro/t Ro/t Factor Factor A A BB 0.550

0.550 60.67 60.67 110.32 110.32 0.0011331 0.0011331 12914.9612914.96 EMAP = B/(Ro/t) = 12914.9561 /110.3182 = 117.0701 psig EMAP = B/(Ro/t) = 12914.9561 /110.3182 = 117.0701 psig

External Pressure Calculations External Pressure Calculations

|

| | | Section Section | | Outside Outside | | Corroded Corroded | | Factor Factor | | Factor Factor || From|

From| To To | | Length Length | | Diameter Diameter | | Thickness Thickness | | A A | | B B || | | | | in in | | in in | | in in | | | | psi psi || 10| 20| 10| 20| No No Calc Calc | | 60.6750 60.6750 | | 0.55000 0.55000 | 0.0011331 | 0.0011331 | | 12915.0 12915.0 || 20| 30| 20| 30| 129.539 129.539 | | 60.0000 60.0000 | | 0.37500 0.37500 | | 0.00030250 0.00030250 | | 4386.30 4386.30 || 30| 40| 30| 40| No No Calc Calc | | 60.6750 60.6750 | | 0.55000 0.55000 | 0.0011331 | 0.0011331 | | 12915.0 12915.0 ||

|

| | | External External | | External External | | External External | | External External || From|

From| To To | | Actual Actual T. T. | | Required Required T.|Des. T.|Des. Press. Press. | | M.A.W.P. M.A.W.P. || |

| | | in in | | in in | | psig psig | | psig psig || 10|

10| 20| 20| 0.67500 0.67500 | | No No Calc Calc | | 0.00000 0.00000 | | 117.070 117.070 || 20|

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FileName : : Sample Sample 4.1 4.1 --- --- Page Page 16 16 of of 6262 External

External Pressure Pressure Calculations Calculations : : Step: Step: 4 4 8:15a 8:15a Apr Apr 15,201015,2010 30|

30| 40| 40| 0.67500 0.67500 | | No No Calc Calc | | 0.00000 0.00000 | | 117.070 117.070 ||

Minimum 36.552

|

| | | Actual Actual Len.| Len.| Allow. Allow. Len.| Len.| Ring Ring Inertia Inertia | | Ring Ring Inertia Inertia || From|

From| To To | | Bet. Bet. Stiff.| Stiff.| Bet. Bet. Stiff.| Stiff.| Required Required | | Available Available || |

| | | in in | | in in | | in**4 in**4 | | in**4 in**4 || 10|

10| 20| 20| No No Calc Calc | | No No Calc Calc | | No No Calc Calc | | No No Calc Calc || 20|

20| 30| 30| 129.539 129.539 | | 328.4E+30 328.4E+30 | | No No Calc Calc | | No No Calc Calc || 30|

30| 40| 40| No No Calc Calc | | No No Calc Calc | | No No Calc Calc | | No No Calc Calc ||

Elements Suitable for External Pressure.

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FileName : : Sample Sample 4.1 4.1 --- --- Page Page 17 17 of of 6262 Element

Element and and Detail Detail Weights Weights : : Step: Step: 5 5 8:15a 8:15a Apr Apr 15,201015,2010

Element and Detail Weights Element and Detail Weights

|

From| To To | | Metal Metal Wgt. Wgt. | | ID ID Volume Volume |Metal |Metal Wgt. Wgt. | | ID ID Volume Volume | | Misc Misc % % || | | | | lbf lbf | | ft³ ft³ | | lbf lbf | | ft³ ft³ | | lbf lbf || 10| 10| 20| 20| 762.967 762.967 | | 11.7502 11.7502 | | 639.274 639.274 | | 12.0032 12.0032 | | 0.00000 0.00000 || 20| 20| 30| 30| 3173.99 3173.99 | | 189.858 189.858 | | 2385.50 2385.50 | | 191.470 191.470 | | 0.00000 0.00000 || 30| 30| 40| 40| 762.967 762.967 | | 11.7502 11.7502 | | 639.274 639.274 | | 12.0032 12.0032 | | 0.00000 0.00000 || ---Total Total 4699 4699 213 213 3664 3664 215 215 00 Weight of Details Weight of Details |

| | | Weight Weight of of | | X X Offset, Offset, | | Y Y Offset, Offset, || From|Type|

| | | lbf lbf | | in in | | in in || 10|Liqd|

10|Liqd| 811.588 811.588 | | 0.00000 0.00000 | -| -5.10578 5.10578 | | BOTTOM BOTTOM HEADHEAD 10|Nozl|

10|Nozl| 16.3337 16.3337 | | 0.00000 0.00000 | | 0.81738 0.81738 | | N2N2 20|Liqd|

20|Liqd| 11847.2 11847.2 | | 0.00000 0.00000 | | 60.0000 60.0000 | | SHELLSHELL 20|Nozl|

20|Nozl| 39.0913 39.0913 | | 37.5000 37.5000 | | 10.0000 10.0000 | | M2M2 20|Nozl|

20|Nozl| 11.0755 11.0755 | | 31.5000 31.5000 | | 114.000 114.000 | | N1N1 20|Legs|

20|Legs| 254.730 254.730 | | 0.00000 0.00000 | | -8.74980 -8.74980 | | LEGSLEGS 30|Liqd|

30|Liqd| 734.315 734.315 | | 0.00000 0.00000 | | 4.98101 4.98101 | | TOP TOP HEADHEAD 30|Nozl|

30|Nozl| 42.4670 42.4670 | | 0.00000 0.00000 | | 0.81738 0.81738 | | M1M1 30|Nozl|

30|Nozl| 1.25949 1.25949 | | 0.00000 0.00000 | | 0.81738 0.81738 | | N3N3

Total Weight of Each Detail Type Total Weight of Each Detail Type

Total

Total Weight Weight of of Liquid Liquid 13393.113393.1 Total

Total Weight Weight of of Nozzles Nozzles 110.2110.2 Total

Total Weight Weight of of Legs Legs 254.7254.7

---Sum

Sum of of the the Detail Detail Weights Weights 13758.1 13758.1 lbflbf

Weight Summary

Fabricated

Fabricated Wt. Wt. - - Bare Bare Weight Weight W/O W/O Removable Removable Internals Internals 5064.9 5064.9 lbflbf Shop

Shop Test Test Wt. Wt. - - Fabricated Fabricated Weight Weight + + Water Water ( ( Full Full ) ) 18378.5 18378.5 lbflbf Shipping

Shipping Wt. Wt. - - Fab. Fab. Wt Wt + + Rem. Rem. Intls.+ Intls.+ Shipping Shipping App. App. 5064.9 5064.9 lbflbf Erected Wt.

Erected Wt. - - Fab. Fab. Wt Wt + + Rem. Rem. Intls.+ Intls.+ Insul. Insul. (etc) (etc) 5064.9 5064.9 lbflbf Ope.

Ope. Wt. Wt. no no Liq Liq - - Fab. Fab. Wt Wt + + Intls. Intls. + + Details Details + + Wghts. Wghts. 5064.9 5064.9 lbflbf Operating

Operating Wt. Wt. - - Empty Empty Wt. Wt. + + Operating Operating Liquid Liquid (No (No CA) CA) 18458.0 18458.0 lbflbf Field

Field Test Test Wt. Wt. - - Empty Empty Weight Weight + + Water Water (Full) (Full) 18378.5 18378.5 lbflbf Mass

Mass of of the the Upper Upper 1/3 1/3 of of the the Vertical Vertical Vessel Vessel 6113.3 6113.3 lbflbf

Outside Surface Areas of Elements Outside Surface Areas of Elements

|

| | | Surface Surface || From|

From| To To | | Area Area || | | | | in² in² || 10| 10| 20| 20| 3630.95 3630.95 || 20| 20| 30| 30| 22619.5 22619.5 || 30| 30| 40| 40| 3630.95 3630.95 || ---Total

Total 29881.373 29881.373 in² in² [207.5 [207.5 Square Square Feet Feet ]]

Element and Detail Weights Element and Detail Weights

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FileName : : Sample Sample 4.1 4.1 --- --- Page Page 18 18 of of 6262 Element

Element and and Detail Detail Weights Weights : : Step: Step: 5 5 8:15a 8:15a Apr Apr 15,201015,2010 |

| To To | | Total Total Ele.| Ele.| Total. Total. Ele.|Total. Ele.|Total. Ele.| Ele.| Total Total Dtl.| Dtl.| Oper. Oper. Wgt. Wgt. || From|

From| To To | | Empty Empty Wgt.| Wgt.| Oper. Oper. Wgt.|Hydro. Wgt.|Hydro. Wgt.| Wgt.| Offset Offset Mom.| Mom.| No No Liquid Liquid || | | | | lbm lbm | | lbm lbm | | lbm lbm | | in-lb in-lb | | lbm lbm || 10| 10| 20| 20| 779.301 779.301 | | 1590.89 1590.89 | | 1512.52 1512.52 | | 0.00000 0.00000 | | 779.301 779.301 || 20|Legs| 20|Legs| 335.860 335.860 | | 1569.98 1569.98 | | 1569.98 1569.98 | | 189.048 189.048 | | 335.860 335.860 || Legs| Legs| 30| 30| 2888.29 2888.29 | | 13501.4 13501.4 | | 13501.4 13501.4 | | 1625.75 1625.75 | | 2888.29 2888.29 || 30| 30| 40| 40| 806.694 806.694 | | 1541.01 1541.01 | | 1539.91 1539.91 | | 0.00000 0.00000 | | 806.694 806.694 ||

Cumulative Vessel Weight Cumulative Vessel Weight

|

| | | Cumulative Cumulative Ope Ope | | Cumulative Cumulative | | Cumulative Cumulative || From| To | Wgt. No Liquid | Oper. Wgt. | Hydro. Wgt. | From| To | Wgt. No Liquid | Oper. Wgt. | Hydro. Wgt. |

| | | | lbm lbm | | lbm lbm | | llbm bm || 10| 10| 20| 20| -779.301 -779.301 | | -1590.89 -1590.89 | | -1512.52 -1512.52 || 20|Legs| 20|Legs| -1115.16 -1115.16 | | -3160.87 | -3160.87 | -3082.50 -3082.50 || Legs| Legs| 30| 30| 3694.99 3694.99 | | 15042.4 15042.4 | | 15041.3 15041.3 || 30| 30| 40| 40| 806.694 806.694 | | 1541.01 1541.01 | | 1539.91 1539.91 ||

Note: The cumulative operating weights no liquid in the column above

are the cumulative operating weights minus the operating liquid

weight minus any weights absent in the empty condition.

Cumulative Vessel Moment

|

| | | Cumulative Cumulative | | Cumulative Cumulative |Cumulative |Cumulative || From| To | Empty Mom. | Oper. Mom. |Hydro. Mom.| From| To | Empty Mom. | Oper. Mom. |Hydro. Mom.|

|

| | | in-lb in-lb | | in-lb in-lb | | in-lb in-lb || 10| 10| 20| 20| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 || 20|Legs| 20|Legs| 189.048 189.048 | | 189.048 189.048 | | 189.048 189.048 || Legs| Legs| 30| 30| 1625.75 1625.75 | | 1625.75 1625.75 | | 1625.75 1625.75 || 30| 30| 40| 40| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 ||

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FileName

FileName : : Sample Sample 4.1 4.1 --- --- Page Page 19 19 of of 6262 Nozzle

Nozzle Flange Flange MAWP MAWP : : Step: Step: 6 6 8:15a 8:15a Apr Apr 15,201015,2010

Nozzle Flange MAWP Results : Nozzle Flange MAWP Results :

Nozzle

Nozzle --- --- Flange Flange RatingRating Description

Description Operating Operating Ambient Ambient Temperature Temperature Class Class Grade|GroupGrade|Group psig

psig psig psig FF

---N2 N2 280.0 280.0 285.0 285.0 120 120 150 150 GR GR 1.11.1 N1 N1 280.0 280.0 285.0 285.0 120 120 150 150 GR GR 1.11.1 ---Minimum

Minimum Rating Rating 280.000 280.000 285.000 285.000 psigpsig

Note: ANSI Ratings are per ANSI/ASME B16.5 2003 Edition

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FileName : : Sample Sample 4.1 4.1 --- --- Page Page 20 20 of of 6262 Natural

Natural Frequency Frequency Calculation Calculation : : Step: Step: 7 7 8:15a 8:15a Apr Apr 15,201015,2010

The Natural Frequencies for the vessel have been computed iteratively

by solving a

system of matrices.

These matrices describe the

mass

and the

stiffness of the vessel.

This is the gen

eralized eigenvalue/

eigenvector problem and is referenced in some mathematical texts.

The Natural Frequency for the Vessel (Empty.) is 31.8010 Hz.

The Natural Frequency for the Vessel (Empty.) is 31.8010 Hz. The Natural Frequency for the Vessel (Ope...) is 16.5138 Hz. The Natural Frequency for the Vessel (Ope...) is 16.5138 Hz. The Natural Frequency for the Vessel (Filled) is 16.8513 Hz. The Natural Frequency for the Vessel (Filled) is 16.8513 Hz.

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FileName : : Sample Sample 4.1 4.1 --- --- Page Page 21 21 of of 6262 Earthquake

Earthquake Load Load Calculation Calculation : : Step: Step: 8 8 8:15a 8:15a Apr Apr 15,201015,2010

Earthquake Analysis Results per IBC-2000 Earthquake Analysis Results per IBC-2000

User

User Entered Entered Table Table Value Value 1615.1.2(1) 1615.1.2(1) Fa Fa 1.2001.200 User

User Entered Entered Table Table Value Value 1615.1.2(1) 1615.1.2(1) Fv Fv 2.8002.800 Max.

Max. Mapped Mapped Acceleration Acceleration Value Value for for Short Short Periods Periods Ss Ss 0.750.75 Max.

Max. Mapped Mapped Acceleration Acceleration Value Value for for 1 1 sec. sec. Period Period S1 S1 0.3000.300 Moment

Moment Reduction Reduction Factor Factor Tau Tau 1.0001.000 Force

Force Modification Modification Factor Factor R R 2.0002.000 Importance

Importance Factor Factor I I 1.0001.000 Site

Site Class Class EE

Sms = Fa * Ss = 1.200 * 0.750 = 0.900 Sms = Fa * Ss = 1.200 * 0.750 = 0.900 Sm1 = Fv * S1 = 2.800 * 0.300 = 0.840 Sm1 = Fv * S1 = 2.800 * 0.300 = 0.840 Sds = 2/3 * Sms = 2/3 * 0.900 = 0.600 Sds = 2/3 * Sms = 2/3 * 0.900 = 0.600 Sd1 = 2/3 * Sm1 = 2/3 * 0.840 = 0.560 Sd1 = 2/3 * Sm1 = 2/3 * 0.840 = 0.560

Check the Period (1/Frequency) from 16-39

= Ct * hn^(3/4) where Ct = 0.020 and hn = total Vessel Height [Ta]:

= 0.020 * 161.3085 ^(3/4) = 0.140 seconds

The Co

The Coefficient Cu from Table

efficient Cu from Table 1617.4.2 is

1617.4.2 is 1.200

1.200 Check the Min. Value of T which is the Smaller of Cu*Ta and T, [T]:

Check the Min. Value of T which is the Smaller of Cu*Ta and T, [T]:

= Min. Value of (1.200 * 0.140 , 1/16.514 ) = 0.0606 per 1617.4.2 = Min. Value of (1.200 * 0.140 , 1/16.514 ) = 0.0606 per 1617.4.2

Compute the Seismic Response Coefficient Cs per 16-35, [Cs]:

= Sds / ( R / I )

= 0.600 / ( 2.00 / 1.00 ) = 0.3000 = 0.600 / ( 2.00 / 1.00 ) = 0.3000

Check the Maximum value of Cs per eqn. 16-36 :

= Sd1 / ( ( R / I )

= Sd1 / ( ( R / I ) * T )* T )

= 0.560 / ( ( 2.00 / 1.00 ) *

= 0.560 / ( ( 2.00 / 1.00 ) * 0.061 ) = 4.62390.061 ) = 4.6239

Check the Minimum value of Cs per eqn. 16-75:

= 0.14 * 1.00 * 0.600 = 0.0840 = 0.14 * 1.00 * 0.600 = 0.0840

For Categories E and F, check Minimum value of Cs per 16-76:

= 0.8 * S1 / ( R / I = 0.8 * S1 / ( R / I ))

= 0.8 * 0.30 / ( 2.00 / 1.00 ) =

= 0.8 * 0.30 / ( 2.00 / 1.00 ) = 0.12000.1200

Compute the Total Base Shear V = Cs * Total Weight, [V]:

= 0.3000 * 18203.3 = 5460.98 lbf = 0.3000 * 18203.3 = 5460.98 lbf

Note: Loads multiplied by the Scalar multiplier value of 0.7143

Final

Final Base Base Shear, Shear, V V = = 3900.78 3900.78 lbflbf

Distribute the Base shear force to each element according to

the equations Fx = Cvx * V (eqn. 16-41 ) and the vertical

distribution factor equation Cvx = Wx*hx**k/( Sum of Wi*hi**k ).

The factor k in the equation is an exponent that is related to the period

of Vibration.

of Vibration. In this

In this case, the

case, the value

value of k

of k was

was 1.0000

1.0000 ..

The Natural Frequency for the Vessel (Ope...) is 16.5138 Hz. The Natural Frequency for the Vessel (Ope...) is 16.5138 Hz. Earthquake Load Calculation

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FileName

FileName : : Sample Sample 4.1 4.1 --- --- Page Page 22 22 of of 6262 Earthquake

Earthquake Load Load Calculation Calculation : : Step: Step: 8 8 8:15a 8:15a Apr Apr 15,201015,2010 |

| | | Earthquake Earthquake | | Earthquake Earthquake | | Element Element | | Element Element || From|

From| To To | | Height Height | | Weight Weight | | Ope Load Ope Load | | Emp Emp Load Load || | | | | in in | | lbf lbf | | lbf lbf | | lbf lbf || 10| 10| 20| 20| 0.75000 0.75000 | | 1590.89 1590.89 | | 4.13242 4.13242 | | 1.20658 1.20658 || 20|Legs| 20|Legs| 14.0004 14.0004 | | 1569.98 1569.98 | | 76.1271 76.1271 | | 9.70704 9.70704 || Legs| Legs| 30| 30| 67.7502 67.7502 | | 13501.4 13501.4 | | 3168.05 3168.05 | | 403.961 403.961 || 30| 30| 40| 40| 122.250 122.250 | | 1541.01 1541.01 | | 652.466 652.466 | | 203.585 203.585 ||

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FileName

FileName : : Sample Sample 4.1 4.1 --- --- Page Page 23 23 of of 6262 Wind/Earthquake

Wind/Earthquake Shear, Shear, Bending Bending : : Step: Step: 9 9 8:15a 8:15a Apr Apr 15,201015,2010

The following table is for the Operating Case. The following table is for the Operating Case. Wind/

Wind/ Earthquake ShearEarthquake Shear, , BendingBending

|

| | | Distance Distance to| to| Cummulative|Earthquake Cummulative|Earthquake | | Wind Wind | | Earthquake Earthquake || From|

From| To To | | Support| Support| Wind Wind Shear| Shear| Shear Shear | | Bending Bending | | Bending Bending || | |

| | in in | | lbf lbf | | lbf lbf | | in-lb in-lb | | in-lb in-lb || 10| 10| 20| 20| 17.6485 17.6485 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 || 20|Legs| 20|Legs| 6.25020 6.25020 | | 0.00000 0.00000 | | 4.13242 4.13242 | | 0.00000 0.00000 | | 15.0755 15.0755 || Legs| Legs| 30| 30| 53.7498 53.7498 | | 0.00000 0.00000 | | 3824.65 3824.65 | | 0.00000 0.00000 | | 242260. 242260. || 30| 30| 40| 40| 111.148 111.148 | | 0.00000 0.00000 | | 652.466 652.466 | | 0.00000 0.00000 | | 2380.27 2380.27 ||

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FileName

FileName : : Sample Sample 4.1 4.1 --- --- Page Page 24 24 of of 6262 Longitudinal

Longitudinal Stress Stress Constants Constants : : Step: Step: 10 10 8:15a 8:15a Apr Apr 15,201015,2010

Longitudinal Stress Constants Longitudinal Stress Constants

|

| | | Metal Metal Area Area | | Metal Metal Area Area |New |New & & Cold Cold | | Corroded Corroded || From|

From| To To | | New New & & Cold Cold | | Corroded Corroded |Sect. |Sect. Mod. Mod. | | Sect. Sect. Mod. Mod. || |

| | | in² in² | | in² in² | | in in ³ ³ | | in in ³ ³ || 10| 10| 20| 20| 125.803 125.803 | | 102.722 102.722 | | 1845.06 1845.06 | | 1512.84 1512.84 || 20| 20| 30| 30| 93.4624 93.4624 | | 70.2440 70.2440 | | 1378.76 1378.76 | | 1040.57 1040.57 || 30| 30| 40| 40| 125.803 125.803 | | 102.722 102.722 | | 1845.06 1845.06 | | 1512.84 1512.84 ||

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FileName

Longitudinal Allowable Allowable Stresses Stresses : : Step: Step: 11 11 8:15a 8:15a Apr Apr 15,201015,2010

Longitudinal Allowable Stresses Longitudinal Allowable Stresses

|

| | | All. All. Str. Str. | | All. All. Str. Str. | | All. All. Str. Str. | | All. All. Str. Str. || From| To | Long. Ten. | Hydr. Ten. |Long. Com. | Hyr. Comp. | From| To | Long. Ten. | Hydr. Ten. |Long. Com. | Hyr. Comp. |

|

| | | psi psi | | psi psi | | psi psi | | psi psi || 10| 20| 10| 20| 14000.0 14000.0 | | 18200.0 18200.0 | -15476.5 | -15476.5 | | -24091.2 -24091.2 || 20|Legs| 20|Legs| 14000.0 14000.0 | | 18200.0 18200.0 | -| -14189.7 14189.7 | | -22769.8 -22769.8 || Legs| 3 Legs| 30| 0| 14000.0 14000.0 | | 18200.0 18200.0 | -14189.7 | -14189.7 | | -22769.8 -22769.8 || 30| 40| 30| 40| 14000.0 14000.0 | | 18200.0 18200.0 | -15476.5 | -15476.5 | | -24091.2 -24091.2 ||

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FileName

Longitudinal Stresses Stresses Due Due to to . . . Step: Step: 12 12 8:15a 8:15a Apr Apr 15,201015,2010

Longitudinal Stress Report Longitudinal Stress Report

Note: Longitudinal Operating and Empty Stresses are computed in the

corroded condition. Stresses due to loads in the hydrostatic test

cases have been computed in the new and cold condition.

Longitudinal Stresses Due to . . . Longitudinal Stresses Due to . . .

|

| | | Long. Long. Str. Str. | | Long. Long. Str. Str. |Long. |Long. Str. Str. || From| To | Int. Pres. | Ext. Pres. |Hyd. Pres. | From| To | Int. Pres. | Ext. Pres. |Hyd. Pres. |

|

| | | psi psi | | psi psi | | psi psi || 10| 10| 20| 20| 3985.91 3985.91 | | 0.00000 0.00000 | | 4788.09 4788.09 || 20| 20| 30| 30| 5895.00 5895.00 | | 0.00000 0.00000 | | 6518.42 6518.42 || 30| 30| 40| 40| 3985.91 3985.91 | | 0.00000 0.00000 | | 4788.09 4788.09 ||

|

| | | Wght. Wght. Str. Str. | | Wght. Wght. Str. Str. |Wght. |Wght. Str. Str. | | Wght. Wght. Str. Str. | | Wght. Wght. Str. Str. || From|

From| To To | | Empty Empty | | Operating Operating |Hydrotest |Hydrotest | | Emp. Emp. Mom. Mom. | | Opr. Opr. Mom. Mom. || |

| | | psi psi | | psi psi | | psi psi | | psi psi | | psi psi || 10| 10| 20| 20| 7.58650 7.58650 | | 15.4873 15.4873 | | 12.0229 12.0229 | | 0.00000 0.00000 | | 0.00000 0.00000 || 20|Legs| 20|Legs| 15.8755 15.8755 | | 44.9984 44.9984 | | 32.9812 32.9812 | | 0.18168 0.18168 | | 0.18168 0.18168 || Legs| 30| Legs| 30| -52.6021 -52.6021 | | -214.145 -214.145 | -160.934 | -160.934 | | 1.56237 1.56237 | | 1.56237 1.56237 || 30| 40| 30| 40| -7.85317 -7.85317 | | -15.0017 | -12.2407 -15.0017 | -12.2407 | | 0.00000 0.00000 | | 0.00000 0.00000 ||

|

| | | Wght. Wght. Str. Str. | | Bend. Bend. Str. Str. |Bend. |Bend. Str. Str. | | Bend. Bend. Str. Str. | | Bend. Bend. Str. Str. || From|

From| To To | | Hyd. Hyd. Mom. Mom. | | Oper. Oper. Wind Wind |Oper. |Oper. Equ. Equ. | | Hyd. Hyd. Wind Wind | | Hyd. Hyd. Equ. Equ. || |

| | | psi psi | | psi psi | | psi psi | | psi psi | | psi psi || 10| 10| 20| 20| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 || 20|Legs| 20|Legs| 0.13711 0.13711 | | 0.00000 0.00000 | | 0.014488 0.014488 | | 0.00000 0.00000 | | 0.00000 0.00000 || Legs| Legs| 30| 30| 1.17914 1.17914 | | 0.00000 0.00000 | | 232.814 232.814 | | 0.00000 0.00000 | | 0.00000 0.00000 || 30| 30| 40| 40| 0.00000 0.00000 | | 0.00000 0.00000 | | 1.57338 1.57338 | | 0.00000 0.00000 | | 0.00000 0.00000 ||

|

| | | Long. Long. Str. Str. | | Long. Long. Str. Str. |Long. |Long. Str. Str. | | EarthQuake EarthQuake || From|

From| To To | | Vortex Vortex Ope.| Ope.| Vortex Vortex Emp.|Vortex Emp.|Vortex Tst.| Tst.| Empty Empty || |

| | | psi psi | | psi psi | | psi psi | | psi psi || 10| 10| 20| 20| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 || 20|Legs| 20|Legs| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | 0.00| 0.0042301 42301 || Legs| Legs| 30| 30| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 42.5349 42.5349 || 30| 30| 40| 40| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.49093 0.49093 ||

|

| | | Long. Long. Str. Str. | | Long. Long. Str. Str. || From| To | Y Forces W | Y ForceS S | From| To | Y Forces W | Y ForceS S |

|

| | | psi psi | | psi psi || 10| 10| 20| 20| 0.00000 0.00000 | | 0.00000 0.00000 || 20|Legs| 20|Legs| 0.00000 0.00000 | | 0.00000 0.00000 || Legs| Legs| 30| 30| 0.00000 0.00000 | | 0.00000 0.00000 || 30| 30| 40| 40| 0.00000 0.00000 | | 0.00000 0.00000 || Long. Stress

Long. Stresses due to User Forces and Mes due to User Forces and M omentsoments

|

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FileName

Longitudinal Stresses Stresses Due Due to to . . . Step: Step: 12 12 8:15a 8:15a Apr Apr 15,201015,2010 From|

From| To To | | Corroded Corroded | | Corroded Corroded | | No No Corr. Corr. | | No No Corr. Corr. || |

| | | psi psi | | psi psi | | psi psi | | psi psi || 10| 10| 20| 20| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 || 20|Legs| 20|Legs| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 || Legs| Legs| 30| 30| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 || 30| 30| 40| 40| 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 | | 0.00000 0.00000 ||