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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
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
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