# PV Elite Heat exchanger calculations

July 9, 2017 | Author: cbousmu | Category: Heat Exchanger, Pressure, Screw, Stress (Mechanics), Pounds Per Square Inch

#### Short Description

Example of PV calculations for a heat exchanger according to ASME...

#### Description

Pressure Vessel Engineering Ltd. ASME Calculations - CRN Assistance - Vessel Design - Finite Element Analysis

Design Conditions

ASME Section VIII-1 Calculations

Code: ASME VIII-1 Year: 2010 Addenda: 2011 MAWP Shell Side: 1400

psi

Shell Side Temp: 650

°F

MAWP Tube Side: 150

psi

Tube Side Temp: 650

°F

MDMT: -20

°F

Corrosion All. Shell: 0.0625 Corrosion All. Tube: 0.0625 Corrosion All. Tubes: 0

Cust: File: Desc: Dwg: Date:

PVEng, H&C Heat Transfer PVE-4293 Heat Exchanger Sample PVEdwg-4293-0.0 Heat Exchanger September 20, 2012

in in in

Hydrotest Shell: 1820

psi

Hydrotest Tube: 195

psi

Impact Exemption: Exempt per UG-20(f) Radiography: Full

UG-22 Loadings Considered Internal Press.: Yes External Press.: Yes Vessel Weight: Yes Weight of Attachments: Yes Attachment of Internals: No Attachment of Externals: No Cyclic or Dynamic Reactions: No Wind Loading: No Seismic Loading: No Fluid Impact Shock Reactions: No Temperature Gradients: No Differential Thermal Expansion: No Abnormal Pressures: No

Author: Jakub Luszczki CET Reviewer: Laurence Brundrett, P. Eng.

Conclusion: The sample heat exchanger has been analyzed according to ASME Sec VIII-1 and found to be acceptable.

www.pveng.com [email protected] Phone 519-880-9808

Pressure Vessel Engineering Ltd. 120 Randall Drive, Suite B Waterloo, Ontario, Canada, N2V 1C6

H&C Heat Transfer Sample PVE-4293

Table of Contents Cover Page Warnings and Errors : Input Echo : Flg Calc [Int P] : Ch. Flange Flg Calc [Int P] : Ch. Flange Internal Pressure Calculations : External Pressure Calculations : Element and Detail Weights : Nozzle Flange MAWP : Center of Gravity Calculation : Horizontal Vessel Analysis (Ope.) Horizontal Vessel Analysis (Test) Nozzle Calcs. : T1/T2 Nozzle Calcs. : S2 Nozzle Calcs. : S1 Nozzle Calcs. : S3 Nozzle Calcs. : T3 & T4 Nozzle Schedule : Nozzle Summary : MDMT Summary : ASME TS Calc : Vessel Design Summary :

1 2 3 11 16 21 27 30 32 33 34 42 50 57 64 71 75 78 79 80 81 95

Cover Page

H&C Heat Transfer Sample PVE-4293

DESIGN CALCULATION In Accordance with ASME Section VIII Division 1 ASME Code Version

Analysis Performed by : PRESSURE VESSEL ENGINEERING Job File

: \\PVESERVER\JOBS\4000-4999\4200-4299\4293 H&C HE

Date of Analysis

: Sep 18,2012

PV Elite 2012,

January 2012

H&C Heat PVE-4293 PV Elite FileName Warnings

Transfer Sample 2012 Licensee: PRESSURE VESSEL ENGINEERING : PVEcalc-4293-0.0 ------------------------------ Page 2 of 96 and Errors : Step: 0 5:58p Sep 18,2012

Class From To : Basic Element Checks. ========================================================================== Class From To: Check of Additional Element Data ========================================================================== There were no geometry errors or warnings.

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

H&C Heat Transfer Sample PVE-4293 PV Elite 2012 Licensee: PRESSURE VESSEL ENGINEERING FileName : PVEcalc-4293-0.0 ------------------------------ Page 3 of 96 Input Echo : Step: 1 5:58p Sep 18,2012 PV Elite Vessel Analysis Program: Input Data

H&C Heat Transfer Sample PVE-4293

Exchanger Design Pressures and Temperatures Shell Side Design Pressure Channel Side Design Pressure Shell Side Design Temperature Channel Side Design Temperature Type of Hydrotest Hydrotest Position Projection of Nozzle from Vessel Top Projection of Nozzle from Vessel Bottom Minimum Design Metal Temperature Type of Construction Special Service Degree of Radiography Miscellaneous Weight Percent Use Higher Longitudinal Stresses (Flag) Select t for Internal Pressure (Flag) Select t for External Pressure (Flag) Select t for Axial Stress (Flag) Select Location for Stiff. Rings (Flag) Consider Vortex Shedding Perform a Corroded Hydrotest Is this a Heat Exchanger User Defined Hydro. Press. (Used if > 0) User defined MAWP User defined MAPnc Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load

Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

Wind Design Code Seismic Design Code

1400.0 150.00 650 650 UG99-b Note [34] Horizontal 0.0000 0.0000 -20 Welded None RT 1 0.0 Y N N N N N N Yes 0.0000 0.0000 0.0000 NP+EW+WI+FW+BW NP+EW+EE+FS+BS NP+OW+WI+FW+BW NP+OW+EQ+FS+BS NP+HW+HI NP+HW+HE IP+OW+WI+FW+BW IP+OW+EQ+FS+BS EP+OW+WI+FW+BW EP+OW+EQ+FS+BS HP+HW+HI HP+HW+HE IP+WE+EW IP+WF+CW IP+VO+OW IP+VE+EW NP+VO+OW FS+BS+IP+OW FS+BS+EP+OW No Wind Loads No Seismic

psig psig F F

in. in. F

psig psig psig

H&C Heat Transfer Sample PVE-4293 PV Elite 2012 Licensee: PRESSURE VESSEL ENGINEERING FileName : PVEcalc-4293-0.0 ------------------------------ Page 4 of 96 Input Echo : Step: 1 5:58p Sep 18,2012

Design Nozzle for Des. Press. + St. Head Consider MAP New and Cold in Noz. Design Consider External Loads for Nozzle Des. Use ASME VIII-1 Appendix 1-9 Material Database Year

Y N Y N 2009

Configuration Directives: Do not use Nozzle MDMT Interpretation VIII-1 01-37 Use Table G instead of exact equation for "A" Shell Head Joints are Tapered Compute "K" in corroded condition Use Code Case 2286 Use the MAWP to compute the MDMT Using Metric Material Databases, ASME II D

No Yes Yes Yes No Yes No

Complete Listing of Vessel Elements and Details:

Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Element Outside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Allowable Stress, Ambient Allowable Stress, Operating Allowable Stress, Hydrotest Material Density P Number Thickness Yield Stress, Operating UCS-66 Chart Curve Designation External Pressure Chart Name UNS Number Product Form Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Elliptical Head Factor Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density

10 20 Elliptical Left Head 0.08330 ft. 18.500 in. 0.1680 in. 0.06250 in. 0.1875 in. 0.0000 in. 150.00 psig 650 F 0.0000 psig 650 F 1.2 SA-516 70 20000. psi 18800. psi 26000. psi 0.2830 lb./in³ 1.2500 in. 28200. psi B CS-2 K02700 Plate 1.0 1.0 2.0 10 Liquid HEAD 0.1600 1.5137 62.400

ft. ft. lb./ft³

H&C Heat Transfer Sample PVE-4293 PV Elite 2012 Licensee: PRESSURE VESSEL ENGINEERING FileName : PVEcalc-4293-0.0 ------------------------------ Page 5 of 96 Input Echo : Step: 1 5:58p Sep 18,2012 -------------------------------------------------------------------Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Element Outside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Efficiency, Longitudinal Seam Efficiency, Circumferential Seam

20 30 Cylinder Left Channel 0.7290 18.500 0.1875 0.06250 0.1875 0.0000 150.00 650 0.0000 650 1.2 SA-516 70 1.0 1.0

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density

20 Liquid CHANNEL 0.8300 1.5104 62.400

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl

20 Nozzle T1/T2 0.3600 4.0 40 300 110.57 N 0.0000 GR 1.1 SA-106 B

ft. in. in. in. in. in. psig F psig F

ft. ft. lb./ft³

ft. in.

lb.

-------------------------------------------------------------------Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Flange Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure

30 40 Flange Channel Flange 0.2396 18.125 1.7500 0.06250 1.7500 0.0000 150.00 650 0.0000 650

ft. in. in. in. in. in. psig F psig F

H&C Heat Transfer Sample PVE-4293 PV Elite 2012 Licensee: PRESSURE VESSEL ENGINEERING FileName : PVEcalc-4293-0.0 ------------------------------ Page 6 of 96 Input Echo : Step: 1 5:58p Sep 18,2012 Effective Diameter Multiplier Material Name Allowable Stress, Ambient Allowable Stress, Operating Allowable Stress, Hydrotest Material Density P Number Thickness Yield Stress, Operating UCS-66 Chart Curve Designation External Pressure Chart Name UNS Number Product Form Perform Flange Stress Calculation (Y/N) Weight of ANSI B16.5/B16.47 Flange Class of ANSI B16.5/B16.47 Flange Grade of ANSI B16.5/B16.47 Flange

1.2 SA-105 20000. 17800. 26000. 0.2830 1.2500 26700. B CS-2 K03504 Forgings Y 0.0000

psi psi psi lb./in³ in. psi

lb.

-------------------------------------------------------------------Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Element Outside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Allowable Stress, Ambient Allowable Stress, Operating Allowable Stress, Hydrotest Material Density P Number Thickness Yield Stress, Operating UCS-66 Chart Curve Designation External Pressure Chart Name UNS Number Product Form Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Width of Saddle Height of Saddle at Bottom Saddle Contact Angle Height of Composite Ring Stiffener Width of Wear Plate

40 50 Cylinder Shell 7.6670 18.500 0.7500 0.06250 0.7500 0.0000 1400.0 650 15.000 650 1.2 SA-516 70 20000. 18800. 26000. 0.2830 1.2500 28200. B CS-2 K02700 Plate 1.0 1.0 40 Saddle Lft Sdl 1.5989 4.0000 25.000 120.0 0.0000 5.0000

ft. in. in. in. in. in. psig F psig F

psi psi psi lb./in³ in. psi

ft. in. in. in. in.

H&C Heat Transfer Sample PVE-4293 PV Elite 2012 Licensee: PRESSURE VESSEL ENGINEERING FileName : PVEcalc-4293-0.0 ------------------------------ Page 7 of 96 Input Echo : Step: 1 5:58p Sep 18,2012 Thickness of Wear Plate Contact Angle, Wear Plate (degrees)

0.2500 132.0

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Width of Saddle Height of Saddle at Bottom Saddle Contact Angle Height of Composite Ring Stiffener Width of Wear Plate Thickness of Wear Plate Contact Angle, Wear Plate (degrees)

40 Saddle Rgt Sdl 6.4000 4.0000 25.000 120.0 0.0000 5.0000 0.2500 132.0

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density

40 Liquid SHELL 0.0000 1.4427 62.400

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl

40 Nozzle S2 0.5000 3.0 XXS 900 270.0 N 0.0000 GR 1.1 SA-106 B

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl

40 Nozzle S1 7.2900 6.0 XXS 900 270.0 N 0.0000 GR 1.1 SA-106 B

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N)

40 Nozzle S3 0.5000 2.0 XXS 900 90.0 N

in.

ft. in. in. in. in. in.

ft. ft. lb./ft³

ft. in.

lb.

ft. in.

lb.

ft. in.

H&C Heat Transfer Sample PVE-4293 PV Elite 2012 Licensee: PRESSURE VESSEL ENGINEERING FileName : PVEcalc-4293-0.0 ------------------------------ Page 8 of 96 Input Echo : Step: 1 5:58p Sep 18,2012 Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl

0.0000 GR 1.1 SA-106 B

lb.

-------------------------------------------------------------------Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Flange Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Allowable Stress, Ambient Allowable Stress, Operating Allowable Stress, Hydrotest Material Density P Number Thickness Yield Stress, Operating UCS-66 Chart Curve Designation External Pressure Chart Name UNS Number Product Form Perform Flange Stress Calculation (Y/N) Weight of ANSI B16.5/B16.47 Flange Class of ANSI B16.5/B16.47 Flange Grade of ANSI B16.5/B16.47 Flange

50 60 Flange Channel Flange 0.2396 18.125 1.7500 0.06250 1.7500 0.0000 150.00 650 0.0000 650 1.2 SA-105 20000. 17800. 26000. 0.2830 1.2500 26700. B CS-2 K03504 Forgings Y 0.0000

ft. in. in. in. in. in. psig F psig F

psi psi psi lb./in³ in. psi

lb.

-------------------------------------------------------------------Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Element Outside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Allowable Stress, Ambient Allowable Stress, Operating

60 70 Cylinder Channel 0.7290 18.500 0.1875 0.06250 0.1875 0.0000 150.00 650 0.0000 650 1.2 SA-516 70 20000. 18800.

ft. in. in. in. in. in. psig F psig F

psi psi

H&C Heat Transfer Sample PVE-4293 PV Elite 2012 Licensee: PRESSURE VESSEL ENGINEERING FileName : PVEcalc-4293-0.0 ------------------------------ Page 9 of 96 Input Echo : Step: 1 5:58p Sep 18,2012 Allowable Stress, Hydrotest Material Density P Number Thickness Yield Stress, Operating UCS-66 Chart Curve Designation External Pressure Chart Name UNS Number Product Form Efficiency, Longitudinal Seam Efficiency, Circumferential Seam

26000. 0.2830 1.2500 28200. B CS-2 K02700 Plate 1.0 1.0

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density

60 Liquid CHANNEL 0.0000 1.5104 62.400

Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl

60 Nozzle T3 & T4 0.5000 1.0 80 300 90.0 N 0.0000 GR 1.1 SA-106 B

psi lb./in³ in. psi

ft. ft. lb./ft³

ft. in.

lb.

-------------------------------------------------------------------Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Element Outside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Elliptical Head Factor Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist

70 80 Elliptical Right Head 0.08330 ft. 18.500 in. 0.1680 in. 0.06250 in. 0.1875 in. 0.0000 in. 150.00 psig 650 F 0.0000 psig 650 F 1.2 SA-516 70 1.0 1.0 2.0 70 Liquid HEAD 0.0000

ft.

H&C Heat Transfer Sample PVE-4293 PV Elite 2012 Licensee: PRESSURE VESSEL ENGINEERING FileName : PVEcalc-4293-0.0 ------------------------------ Page 10 of 96 Input Echo : Step: 1 5:58p Sep 18,2012 Height/Length of Liquid Liquid Density

1.5137 62.400

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

ft. lb./ft³

H&C Heat PVE-4293 PV Elite FileName Flg Calc

Transfer Sample 2012 Licensee: PRESSURE VESSEL ENGINEERING : PVEcalc-4293-0.0 ------------------------------ Page 11 of 96 [Int P] : Ch. Flange Flng: 3 5:58p Sep 18,2012

Flange Input Data Values

Description: Ch. Flange

:

Channel Flange

Description of Flange Geometry (Type) Design Pressure P Design Temperature Internal Corrosion Allowance ci External Corrosion Allowance ce Use Corrosion Allowance in Thickness Calcs. Flange Inside Diameter Flange Outside Diameter Flange Thickness Thickness of Hub at Small End Thickness of Hub at Large End Length of Hub

Integral Weld 150.00 650 0.0625 0.0000 No

Neck psig F in. in.

B A t go g1 h

18.125 23.500 1.7500 0.1875 0.5625 1.1250

in. in. in. in. in. in.

Sfo Sfa

SA-105 K03504 17800.00 20000.00

psi psi

Bolt Material Bolt Allowable Stress At Temperature Bolt Allowable Stress At Ambient

Sb Sa

SA-193 B7 25000.00 25000.00

psi psi

Diameter of Bolt Circle Nominal Bolt Diameter Type of Threads Number of Bolts

C 21.750 dB 0.6250 UNC Thread Series 16

in. in.

Fod 19.750 Fid 18.125 1, Code Sketch 1a

in. in.

Flange Flange Flange Flange

Material Material UNS number Allowable Stress At Temperature Allowable Stress At Ambient

Outside Diameter Inside Diameter Factor Design Seating Stress

Column for Gasket Seating Gasket Thickness Length of Width of Partition Partition

Go Gi m y

19.125 18.125 2.5000 2900.00

2, Code Column II tg 0.1250

18.1250 0.3130 2.5000 2900.00

ASME Code, Section VIII, Division 1, 2010, 2011a

Hub Small End Required Thickness due to Internal Pressure: = (P*(D/2+Ca))/(S*E-0.6*P) per UG-27 (c)(1) = (150.00*(18.1250/2+0.0625))/(17800.00*1.00-0.6*150.00)+Ca = 0.1398 in.

in. in. psi

in. in. in. psi

H&C Heat PVE-4293 PV Elite FileName Flg Calc

Transfer Sample 2012 Licensee: PRESSURE VESSEL ENGINEERING : PVEcalc-4293-0.0 ------------------------------ Page 12 of 96 [Int P] : Ch. Flange Flng: 3 5:58p Sep 18,2012

Hub Small End Hub MAWP: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = (17800.00 * 1.00 * 0.1250 )/(9.1250 + 0.6 * 0.1250 ) = 241.848 psig Corroded Flange ID, Corroded Large Hub, Corroded Small Hub, Code R Dimension,

Bcor g1Cor g0Cor R

N bo b G

= = = =

B+2*Fcor g1-ci go-ci ((C-Bcor)/2)-g1cor

18.250 0.500 0.125 1.250

in. in. in. in.

= = = =

(Go - Gi) / 2 N / 2 bo (Go + Gi) / 2

0.500 0.250 0.250 18.625

in. in. in. in.

Basic Flange and Bolt Loads: Hydrostatic End Load due to Pressure [H]:

= 0.785 * G² * Peq = 0.785 * 18.6250² * 150.000 = 40867.090 lb. Contact Load on Gasket Surfaces [Hp]:

= 2 * b * Pi * G * m * P + 2 * lp * bPart * mPart * P = 2 * 0.2500 * 3.1416 * 18.6250 * 2.5000 * 150.00 + 2.0 * 18.1250 * 0.1565 * 2.5000 * 150.0000 = 13098.453 lb. Hydrostatic End Load at Flange ID [Hd]:

= Pi * Bcor² * P / 4 = 3.1416 * 18.2500² *150.0000/4 = 39238.004 lb. Pressure Force on Flange Face [Ht]:

= H - Hd = 40867 - 39238 = 1629.086 lb. Operating Bolt Load [Wm1]:

= max( H + Hp + H'p, 0 ) = max( 40867 + 13098 + 0 , 0 ) = 53965.543 lb. Gasket Seating Bolt Load [Wm2]:

= y * b * Pi * G + yPart * bPart * lp = 2900.00*0.2500*3.141*18.625+2900.00*0.1565*18.12 = 50647.352 lb. Required Bolt Area [Am]:

= Maximum of Wm1/Sb, Wm2/Sa = Maximum of 53965/25000 , 50647/25000 = 2.159 in²

ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]: = 2a + 6t/(m + 0.5) = 2 * 0.625 + 6 * 1.750/(2.50 + 0.5) = 4.750 in. Actual Circumferential Bolt Spacing [Bs]: = C * sin( pi / n ) ) = 21.750 * sin( 3.142/16 ) = 4.243 in.

H&C Heat PVE-4293 PV Elite FileName Flg Calc

Transfer Sample 2012 Licensee: PRESSURE VESSEL ENGINEERING : PVEcalc-4293-0.0 ------------------------------ Page 13 of 96 [Int P] : Ch. Flange Flng: 3 5:58p Sep 18,2012

ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]: = max( sqrt( Bs/( 2a + t )), 1 ) = max( sqrt( 4.243/( 2 * 0.625 + 1.750 )), 1 ) = 1.1893 Bolting Information for UNC Thread Series (Non Mandatory): ----------------------------------------------------------------------------Minimum Actual Maximum ----------------------------------------------------------------------------Bolt Area, in² 2.159 3.232 Radial distance bet. hub and bolts 0.938 1.250 Radial distance bet. bolts and the edge 0.750 0.875 Circumferential spacing between bolts 1.500 4.243 4.750 ----------------------------------------------------------------------------Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]:

= Ab * Sa/( y * Pi * (Go + Gi) ) = 3.232 * 25000.00/(2900.00 * 3.14 * (19.125 + 18.12 ) ) = 0.238 in. Flange Design Bolt Load, Gasket Seating [W]:

= Sa * ( Am + Ab ) / 2 = 25000.00 * ( 2.1586 + 3.2320 )/2 = 67382.77 lb. Gasket Load for the Operating Condition [HG]:

= Wm1 - H = 53965 - 40867 = 13098.45 lb. Moment Arm Calculations:

Distance to Gasket Load Reaction [hg]: = (C - G ) / 2 = ( 21.7500 - 18.6250 )/2 = 1.5625 in. Distance to Face Pressure Reaction [ht]: = ( R + g1 + hg ) / 2 = ( 1.2500 + 0.5000 + 1.5625 )/2 = 1.6562 in. Distance to End Pressure Reaction [hd]: = R + ( g1 / 2 ) = 1.2500 + ( 0.5000/2.0 ) = 1.5000 in. Summary of Moments for Internal Pressure:

Md Mt Mg Matm

Force 39238. 1629. 13098. 67383.

Distance Bolt Corr 1.5000 1.1893 1.6562 1.1893 1.5625 1.1893 1.5625 1.1893

Moment 5833. 267. 2028. 10435.

ft.lb. ft.lb. ft.lb. ft.lb.

Total Moment for Operation, Mop Total Moment for Gasket seating, Matm

8129. ft.lb. 10435. ft.lb.

Effective Hub Length, ho = sqrt(Bcor*goCor) Hub Ratio, h/h0 = HL / H0 Thickness Ratio, g1/g0 = (g1Cor/goCor)

1.510 0.745 4.000

in.

H&C Heat PVE-4293 PV Elite FileName Flg Calc

Transfer Sample 2012 Licensee: PRESSURE VESSEL ENGINEERING : PVEcalc-4293-0.0 ------------------------------ Page 14 of 96 [Int P] : Ch. Flange Flng: 3 5:58p Sep 18,2012

Flange Factors for Integral Flange:

Factor F per Factor V per Factor f per Factors from

2-7.2 2-7.3 2-7.6 Figure 2-7.1 T = Y = d = Stress Factors BETA = DELTA =

1.803 7.822 2.513 in.³ 2.138 2.133

K U Z e ALPHA GAMMA Lamda

Longitudinal Hub Stress, Operating [SHo]: = ( f * Mop / Bcor ) / ( L * g1² ) = (2.9303*97547/18.2500)/(3.1608*0.5000²) = 19821.01 psi Longitudinal Hub Stress, Seating [SHa]: = ( f * Matm / Bcor ) / ( L * g1² ) = (2.9303*125214/18.2500)/(3.1608*0.5000²) = 25442.91 psi Radial Flange Stress, Operating [SRo]: = ( Beta * Mop / Bcor ) / ( L * t² ) = (2.1376*97547/18.2500)/(3.1608*1.7500²) = 1180.33 psi Radial Flange Stress, Seating [SRa]: = ( Beta * Matm/Bcor ) / ( L * t² ) = (2.1376*125214/18.2500)/(3.1608*1.7500²) = 1515.11 psi Tangential Flange Stress, Operating [STo]: = ( Y * Mo / (t² * Bcor) ) - Z * SRo = (7.8217*97547/(1.7500²*18.2500))-4.0391*1180 = 8883.92 psi Tangential Flange Stress, Seating [STa]: = ( y * Matm / (t² * Bcor) ) - Z * SRa = (7.8217*125214/(1.7500²*18.2500))-4.0391*1515 = 11403.70 psi Average Flange Stress, Operating [SAo]: = ( SHo + max( SRo, STo ) ) / 2 = (19821+max(1180,8883))/2 = 14352.46 psi Average Flange Stress, Seating [SAa]: = ( SHa + max( SRa, STa ) ) / 2 = (25442+max(1515,11403))/2 = 18423.30 psi Bolt Stress, Operating [BSo]: = ( Wm1 / Ab ) = (53965/3.2320) = 16697.26 psi Bolt Stress, Seating [BSa]: = ( Wm2 / Ab ) = (50647/3.2320) = 15670.59 psi

= = = = = = =

0.736 0.081 2.930 1.288 8.595 4.039 0.4875 in.^-1 1.853 1.028 3.161

H&C Heat PVE-4293 PV Elite FileName Flg Calc

Transfer Sample 2012 Licensee: PRESSURE VESSEL ENGINEERING : PVEcalc-4293-0.0 ------------------------------ Page 15 of 96 [Int P] : Ch. Flange Flng: 3 5:58p Sep 18,2012

Stress Computation Results: Operating Actual Allowed Longitudinal Hub 19821. 26700. Radial Flange 1180. 17800. Tangential Flange 8884. 17800. Maximum Average 14352. 17800. Bolting 16697. 25000.

Gasket Seating Actual Allowed 25443. 30000. 1515. 20000. 11404. 20000. 18423. 20000. 15671. 25000.

Minimum Required Flange Thickness Estimated M.A.W.P. ( Operating ) Estimated Finished Weight of Flange at given Thk. Estimated Unfinished Weight of Forging at given Thk

1.684 186.0 94.0 143.0

psi psi psi psi psi in. psig lbm lbm

Flange Rigidity Based on Required Thickness [ASME]: Flange Rigidity Index, Seating (rotation check) per APP. 2 [Js]:

= 52.14 * Ma / Bsc * Cnv_fac * V / ( Lambda * Eamb * go^(2) * ho * Ki ) = 52.14 * 10434.6/1.2026 * 12.000 * 0.081/( 2.908 * 29400000 * 0.125^(2) * 1.510 * 0.300 ) = 0.724 (should be