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Flange Design example

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Flange Design (As per ASME Section VIII Div.1, Appendix-2 Type of Flange : Integral (As per A2-4 (a) (2) - (Fig. 2-4 (5)) Flange material : SA 350 Gr. LF2 Bolt Material : SA 193 Gr .B7 Description Equation Symbol Value Unit Remarks Size of the Flange 30 in Internal Design presure P 9.4 Mpa Internal design temperature 82 ͦ ͦ ˚C Corrosion allowance CA 0 mm Gasket outside diameter Go 844.55 mm Gasket inside diameter Gi 793.75 mm Width used for calculating 'bo' N 25.4 mm Ref. Table 2-4 Basic gasket seating width N/2 bo 12.7 mm Ref. Table 2-5.2 Conversion factor Cb 2.5 For SI unit Effective gasket seating width Cb* bo b 8.909264841 mm Ref. Table 2-5.2 Diameter at location of gasket load reaction Go-2b for bo > 6 G 826.7314703 mm Total hydrostatic end force 0.785 G ² P H 5043435.254 N Gasket factor m 3 Ref. Table 2-5.1 Total joint-contact surface compression load 2b x 3.14 G*m*P Hp 1304412.918 N Minimum required bolt load for operating condition H+H p Wm1 6347848.172 N Gasket or joint contact surface seating load y 69 MPa Ref. Table 2-5.1 Minimum required bolt load for gasket seating 3.14 * b*G*y Wm2 1595824.314 N Allowable bolt stress at design temperature Sb 172 MPa Rerf. Sec.2 Par-D Allowable bolt load at atmospheric temperature Sa 172 MPa Rerf. Sec.2 Par-D Total cross sectional area of bolts required for operating condition W m1 /S b Am1 36906.09402 mm2 Total cross sectional area of bolts required for gasket seating W m2 /Sa Am2 9278.048338 mm2 Total required cross sectional area of bolts Greater (A m1 , A m2 ) Am 36906.09402 mm2 Nominal bolt diameter a 50.8 mm Threads per inch n 4.5 Total cross sectional area available in the bolt 0.7854 (a-(0.9743/n))2 Ab 1611.755446 mm2 Number of bolts Nb 28 Total available area in all bolts Ab*Nb Atb 45129.15248 mm2 Safe Flange thickness t 192 mm Maximum bolt spacing 2a + 6t/(m+0.5) Bsmax 430.7428571 mm Flange design bolt load (for operating condition) W m1 W 6347848.172 N Flange design bolt load (gasket seating) (Am+Ab)Sa / 2 W 3312535.054 N Bolt Circle diameter C 1022.35 mm Value for Flange rotation at sealing surface (C-G)/2 hG 97.80926484 mm to be kept minimum Outside diameter of the flange A 1130.3 mm Inside diameter of the flange B 737 mm use 'B' for stress calc. Hydrostatic end force on area inside of flange 0.785*B^2*P HD 4008044.051 N Joint efficiency Ej 1 Ref. UW-12 Maximum allowable stress value S 138 Mpa Rerf. Sec.2 Par-D Hub thickness required due to internal pressure P(B/2) / S.E j -0.6P tr 26.17029314 mm Ref. UG-27 Thickness of hub at back of the flange g1 30 mm > tr, OK Radial distance from bolt circle to point of intersection of hub & back of flange (C-B/2) - g1 R 112.675 mm Radial distance from bolt circle to circle on which HD acts R + 0.5 g1 hD 127.675 mm Ref. Table 2-6 Component of moment due to HD H D *h D MD 511727024.2 N.mm Difference in hydrostatic end forces H - H D HT 1035391.203 N Gasket load (Operating) W-H HG 1304412.918 N Radial distance from bolt circle to circle on which HT acts (R + g1 + h G )/2 hT 120.2421324 mm Ref. Table 2-6 Component of moment due to HT H T* h T MT 1035511.445 N.mm Component of moment due to HG H G * h G MG 127583668.5 N.mm Total flange moment (operating) sum of (M D , M T , M G ) Mo 640346204.2 N.mm Sec. 2-6 Total flange moment (gasket seating) W* (C-G)/2 Mo 323996618.4 N.mm Sec. 2-6 Number of bolts Nb 28 Bolt spacing ( π*C)/Nb Bs 114.7074018 mm Bolt spacing check factor 2a+t 293.6 mm If 'Bs' > check factor, multiply Mo by 'Bsc' Proceed with 'Mo' Bolt spacing corrrection factor Max (√(Bs/2a+t), 1) Bsc 1 If applicable
Transcript
Page 1: Flange Design example

Flange Design (As per ASME Section VIII Div.1, Appendix-2

Type of Flange : Integral (As per A2-4 (a) (2) - (Fig. 2-4 (5))

Flange material : SA 350 Gr. LF2

Bolt Material : SA 193 Gr .B7

Description Equation Symbol Value Unit Remarks

Size of the Flange 30 in

Internal Design presure P 9.4 Mpa

Internal design temperature 82 ͦͦ˚C

Corrosion allowance CA 0 mm

Gasket outside diameter Go 844.55 mm

Gasket inside diameter Gi 793.75 mm

Width used for calculating 'bo' N 25.4 mm Ref. Table 2-4

Basic gasket seating width N/2 bo 12.7 mm Ref. Table 2-5.2

Conversion factor Cb 2.5 For SI unit

Effective gasket seating width Cb* √bo b 8.909264841 mm Ref. Table 2-5.2

Diameter at location of gasket load reaction Go-2b for bo > 6 G 826.7314703 mm

Total hydrostatic end force 0.785 G ² P H 5043435.254 N

Gasket factor m 3 Ref. Table 2-5.1

Total joint-contact surface compression load 2b x 3.14 G*m*P Hp 1304412.918 N

Minimum required bolt load for operating condition H+H p Wm1 6347848.172 N

Gasket or joint contact surface seating load y 69 MPa Ref. Table 2-5.1

Minimum required bolt load for gasket seating 3.14 * b*G*y Wm2 1595824.314 N

Allowable bolt stress at design temperature Sb 172 MPa Rerf. Sec.2 Par-D

Allowable bolt load at atmospheric temperature Sa 172 MPa Rerf. Sec.2 Par-D

Total cross sectional area of bolts required for operating condition W m1 /S b Am1 36906.09402 mm2

Total cross sectional area of bolts required for gasket seating W m2 /Sa Am2 9278.048338 mm2

Total required cross sectional area of bolts Greater (A m1 , A m2 ) Am 36906.09402 mm2

Nominal bolt diameter a 50.8 mm

Threads per inch n 4.5

Total cross sectional area available in the bolt 0.7854 (a-(0.9743/n))2 Ab 1611.755446 mm2

Number of bolts Nb 28

Total available area in all bolts Ab*Nb Atb 45129.15248 mm2 Safe

Flange thickness t 192 mm

Maximum bolt spacing 2a + 6t/(m+0.5) Bsmax 430.7428571 mm

Flange design bolt load (for operating condition) W m1 W 6347848.172 N

Flange design bolt load (gasket seating) (Am+Ab)Sa / 2 W 3312535.054 N

Bolt Circle diameter C 1022.35 mm

Value for Flange rotation at sealing surface (C-G)/2 hG 97.80926484 mm to be kept minimum

Outside diameter of the flange A 1130.3 mm

Inside diameter of the flange B 737 mm use 'B' for stress calc.

Hydrostatic end force on area inside of flange 0.785*B^2*P HD 4008044.051 N

Joint efficiency Ej 1 Ref. UW-12

Maximum allowable stress value S 138 Mpa Rerf. Sec.2 Par-D

Hub thickness required due to internal pressure P(B/2) / S.E j -0.6P tr 26.17029314 mm Ref. UG-27

Thickness of hub at back of the flange g1 30 mm > tr, OK

Radial distance from bolt circle to point of intersection of hub & back of flange (C-B/2) - g1 R 112.675 mm

Radial distance from bolt circle to circle on which HD acts R + 0.5 g1 hD 127.675 mm Ref. Table 2-6

Component of moment due to HD H D *h D MD 511727024.2 N.mm

Difference in hydrostatic end forces H - H D HT 1035391.203 N

Gasket load (Operating) W-H HG 1304412.918 N

Radial distance from bolt circle to circle on which HT acts (R + g1 + h G )/2 hT 120.2421324 mm Ref. Table 2-6

Component of moment due to HT H T* h T MT 1035511.445 N.mm

Component of moment due to HG H G * h G MG 127583668.5 N.mm

Total flange moment (operating) sum of (M D , M T , M G ) Mo 640346204.2 N.mm Sec. 2-6

Total flange moment (gasket seating) W* (C-G)/2 Mo 323996618.4 N.mm Sec. 2-6

Number of bolts Nb 28

Bolt spacing ( π*C)/Nb Bs 114.7074018 mm

Bolt spacing check factor 2a+t 293.6 mm

If 'Bs' > check factor, multiply Mo by 'Bsc' Proceed with 'Mo'

Bolt spacing corrrection factor Max (√(Bs/2a+t), 1) Bsc 1 If applicable

Page 2: Flange Design example

Flange Stresses Sec. 2-7

Thickness of the hub at small end go 30 mm > tr, OK

Hub length h 199 mm

Factor √Bg o ho 148.6943173

Factor h/ho 1.338316108 For Fig. 2-7.2

Factor g1/go 1 For Fig. 2-7.2

Factor with (h/ho) & (g1/go) F 0.9089 Ref. Fig 2-7.2

Factor F/ho e 0.00611254 for integral type

Value A/B K 1.533649932

Factor T 1.7 Ref. Fig. 2-7.1

Factor U 5 Ref. Fig. 2-7.1

Factor Y 4.5 Ref. Fig. 2-7.1

Factor Z 2.7 Ref. Fig. 2-7.1

Factor with (h/ho) & (g1/go) V 0.550103 Ref. Fig. 2-7.3

Factor U/V * ho. g o ^2 d 1216362.077

Factor t.e+1/T + t^3/d L 7.097491719

Factor with (h/ho) & (g1/go) f 1 Ref. Fig. 2-7.6

Longitudinal hub stresses (operating) f.Mo/ (L.g 1) ^2*B SH 136.0191159 Mpa

Radial Flange stress (operating) (1.33te+1)*Mo / Lt^2.B SR 8.50417773 Mpa

Tangential flange stress (operating) Ymo/t^2*B - ZS R ST 83.10013295 Mpa

Longitudinal hub stresses (gasket seating) f.Mo/ (L.g 1) ^2*B SH 68.82173003 Mpa

Radial Flange stress (gasket seating) (1.33te+1)*Mo / Lt^2.B SR 4.302867432 Mpa

Tangential flange stress (gasket seating) YMo/t^2*B - ZS R ST 30.70272075 Mpa

Allowable flange design stresses SA-350 Gr. LF2 Sf 138 Mpa Rerf. Sec.2 Par-D

Longitudinal Allowable hub stress (operating/gasket seating) S H < 1.5 Sf 207 Mpa Safe

Radial Allowable Flange stress (operating/gasket seating) S R < Sf 138 Mpa Safe

Tangential Allowable flange stress (operating/gasket seating) S T < Sf 138 Mpa Safe

Flange Rigidity check: Ref. Section 2-14

Rigidity factor K1 0.3 For integral type

Modulus of elasticity E 200000 Mpa Table TM-1. Sec.2 Part-D

Flange rigidity (Operating) (52.14 * V.Mo )/ (L.E(go)^2*K 1 *h o) J 0.322282597 < 1, Hence Safe

Flange rigidity (Gasket Seating) (52.14 * V.Mo )/ (L.E(go)^2*K 1 *h o) J 0.163065652 < 1, Hence Safe

Page 3: Flange Design example

Flange design as per ASME Section VIII Div. 1 - Appendix-2

Size of the flange = 30 in

Bolt circle diameter = 1022.35 mm

Gasket OD = 844.55 mm

Gasket ID = 793.75 mm

Bolt Diameter = 50.8 mm

Number of bolts = 28 nos.

30

737

30

192

1130.3

199


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