ASME BPVC VIII Example E E PTB

Transcription

1 ASME BPVC VIII Example E E PTB Table of contents Table of contents... 1 Comparison Form for equations... 2 Example E Integral Type... 3 E Bolted flanges ASME BPVC VIII DIVISION 1 APP. 2, 215 Edition... 5 Example E Loose Type... 8 E Bolted flanges ASME BPVC VIII DIVISION 1 APP. 2, 215 Edition... 9 Appendix: Material documentation... 9 Layout Input values: or Calculated values: or Critical values: or Estimated values: or Lauterbach Verfahrenstechnik GmbH

2 ASME BPVC VIII Example E E PTB Comparison Form for equations Equation form Comment Results for example E acc. ASME and Lauterbach Verfahrenstechnik GmbH (LV) The LV-program uses formulas for Bolted flanges acc. VIII-1, App.2. Equations Conversion factor mm2in = N2lbf = 'Results Ex. E LV and ASME Required load W acc. LV W1 = #23(1)*N2lbf Required load W ASME W1Asme = Difference in % Diff1 = (W1-W1Asme)/W1Asme*1 'Results Ex. E LV and ASME Required load W acc. LV W2 = #23(2)*N2lbf Required load W ASME W2Asme = Difference in % Diff2 = (W2-W2Asme)/W2Asme*1 'Maximum difference between LV and ASME Dmax = Max( Diff1 ; Diff2 ) Value Lauterbach Verfahrenstechnik GmbH

3 ASME BPVC VIII Example E E PTB Example E Integral Type Determine if the stresses in the heat exchanger girth flange are with acceptable limits, considering the following design conditions. The flange is of an integral type and is attached to a cylindrical shell with a Category C, Type 1 butt weld and has been 1% radiographically examined. See Figure E General Data: Cylinder Material = SA-516, Grade 7 Design Conditions = 135 F Allowable Stress at Design Temperature = 188 psi Allowable Stress at Ambient Temperature = 2 psi Corrosion Allowance =.125 in Flange Data: Material = SA-15 Allowable Stress at Design Temperature = 178 psi Allowable Stress at Ambient Temperature = 2 psi Modulus of Elasticity at Design Temperature = 26.E + 6 psi Modulus of Elasticity at Ambient Temperature = 29.4E +6 psi Bolt Data: Material = SA-193, Grade B7 Allowable Stress at Design Temperature = 25 psi Allowable Stress at Ambient Temperature = 25 psi Diameter =.75 in Number of Bolts = 44 Root area =.32 in 2 Gasket Data: Material = Flat Metal Jacketed (Iron/Soft Steel) Gasket Factor = 3.75 Seating Stress = 76 psi Inside Diameter = 29. in Outside Diameter = 3. in Lauterbach Verfahrenstechnik GmbH

4 ASME BPVC VIII Example E E PTB Design rules for bolted flange connections with ring type gaskets are provided in Vlll-1 Mandatory Appendix 2. The rules in this paragraph are the same as those provided in Vlll-2, paragraph However, there are differences to be noted, including; a step-by-step design procedure, nomenclature with regard to operating and gasket seating bolt loads, the inclusion of a flange moment due to externally applied axial forces and bending moment, and minor differences in bolt pacing criteria. Therefore, while the example problem will be presented for use with Vlll-1, Appendix 2, references to Vlll-2 paragraphs will be provided, as applicable. Evaluate the girth flange in accordance with Vlll-1, Appendix 2. Establish the design conditions and gasket reaction diameter, (VIII-2, paragraph ). Lauterbach Verfahrenstechnik GmbH

5 ASME BPVC VIII Example E E PTB E Bolted flanges ASME BPVC VIII DIVISION 1 APP. 2, 215 Edition Integral Type Flange Design data Design pressure PD 135 psi = pd 135 psi Hydrostatic head DP psi = Dp psi Calculation pressure P 135 psi = p 135 psi Calculation temperature T 65 F Flange Outside diameter A in Inside diameter B in Bolt circle diameter C in Pipe size Bn in Hub length h in Flange thickness t in Large hub thickness g in Small hub thick. g.3125 in Material K354-SA-15--Class:-Size: Allowable operating stress Sfb psi Allowable installation stress Sfa 215 psi Corrosion allowance c2 in Modulus of elasticity at operation ET 2.591e+7 psi Modulus of elasticity at test (2 C) E e+7 psi Gasket Gasket diameter G 29.5 in Effective gasket width [Table:2.5.2] b.231 in Gasket factor [Table:2.5.1] m 3.75 Gasket seating load [Table:2.5.1] y 76 psi Bolts Number n 44 Root diameter dk.62 in Nominal diameter a.75 in Material G414-SA-193-B7-Class:-Size:<=64 Allowable operating stress Sb psi Allowable installation stress Sa psi Consider bolt factor BSC 2-6(7)? (N=No) Y (Y/N) Lauterbach Verfahrenstechnik GmbH

6 ASME BPVC VIII Example E E PTB Required operation bolt load, Eq.(1) Wm lbf Minimum initial bolt load, Eq.(2) Wm lbf Available cross section of bolts Ab in² Required cross section Wm1/Sb Am in² Required cross section Wm2/Sa Am in² Req. bolt load (5) for gasket seating=(am+ab)*sa/2 W lbf Allowable bolt load = Ab*Sa Wzul lbf Design (gasket seating =1; max. allowable=2) 1 (1,2) Moment = Force * Lever arm = Result MD = HD*hD = 7324 lbf * in = lbf ft MG = HG*hG = 1949 lbf *.875 in = 1389 lbf ft MT = HT*hT = 1922 lbf * in = 27 lbf ft Total operating moment M1 = MD + MG + MT = lbf ft Total gasket seating moment, Eq. (6) M2 = W * (C-G)/2 = lbf ft Stress Operation Installation Allowable Longitudinal SH psi psi 1.5*S f (8) Ratio SH/Sf Allowable stress Sf psi 215 psi Radial SR 6157 psi 6184 psi S f (9) Tangential ST 5548 psi 5573 psi S f (1) Combination (SH+SR)/2 = psi 1225 psi S f Combination (SH+ST)/2 = psi psi S f Bolt pitch BS in in = BSmax (3) Remark Auxiliary values (Fig ) (Fig ) (Fig ) Lauterbach Verfahrenstechnik GmbH

7 ASME BPVC VIII Example E E PTB Eq.(1) Eq.(2) Bolt pitch (3) For (7) KI (=.3 acc. Table 2-14) =.3 J = 52.14*V*[M1 or M2]/L/[E or E2C]/(g-c2)²/KL/h = 52.14*.1576 *[ 2.333e+7 or 2.344e+7 ]/.9359 /[ or 21 ]/( )²/.3 / Rigidity criterion: J Lauterbach Verfahrenstechnik GmbH

8 ASME BPVC VIII Example E E PTB Example E Loose Type Determine if the stresses in the ASME B16.5, Class 3, NPS 2 Slip-on Flange are with acceptable limits, considering the following design conditions. The flange is of a loose type with hub and is attached to a cylindrical shell with Category C fillet welds, see Vlll-1 Appendix 2, Figure 2-4 Sketch 3. General Data Cylinder Material = SA-516, Grade 7 Design Conditions = 45 psig@65 F Allowable Stress at Design Temperature = 188 psi Allowable Stress at Ambient Temperature = 2 psi Corrosion Allowance =. in Flange Data: Material = SA-15 Allowable Stress at Design Temperature = 178 psi Allowable Stress at Ambient Temperature = 2 psi Modulus of Elasticity at Design Temperature = 26.E + 6 psi Modulus of Elasticity at Ambient Temperature = 29.4E +6 psi Bolt Data: Material = SA -193, Grade B7 Allowable Stress at Design Temperature = 25 psi Allowable Stress at Ambient Temperature = 25 psi Diameter = 1.25 in Number of Bolts = 24 Root area =.929 in 2 Gasket Data Material = Kammprofile Gasket Factor = 2. Seating Stress = 25 psi Inside Diameter = in Outside Diameter = in Lauterbach Verfahrenstechnik GmbH

9 ASME BPVC VIII Example E E PTB Design rules for bolted flange connections with ring type gaskets are provided in Vlll-1 Mandatory Appendix 2. The rules in this paragraph are the same as those provided in Vlll-2, paragraph However, there are differences to be noted, including; a step-by-step design procedure, nomenclature with regard to operating and gasket seating bolt loads, the inclusion of a flange moment due to externally applied axial forces and bending moment, and minor differences in bolt spacing criteria. Therefore, while the example problem will be presented for use with Vlll-1, Appendix 2, references to Vlll-2 paragraphs will be provided, as applicable. Evaluate the flange in accordance with Vlll-1, Appendix 2. Establish the design conditions and gasket seating reaction diameter, (VIII-2, paragraph ). Lauterbach Verfahrenstechnik GmbH

10 ASME BPVC VIII Example E E PTB E Bolted flanges ASME BPVC VIII DIVISION 1 APP. 2, 215 Edition Loose Type Flange With Full Neck Design data Design pressure PD 45 psi = pd 45 psi Hydrostatic head DP psi = Dp psi Calculation pressure P 45 psi = p 45 psi Calculation temperature T 65 F Flange Outside diameter A 3.5 in Inside diameter B 2.2 in Bolt circle diameter C 27 in Pipe size Bn 2.2 in Hub length h 1.25 in Flange thickness t 2.44 in Large hub thickness g in Small hub thickness g 1.46 in Material K354-SA-15--Class:-Size: Allowable operating stress Sfb psi Allowable installation stress Sfa 215 psi Corrosion allowance c2 in Modulus of elasticity at operation ET 2.591e+7 psi Modulus of elasticity at test (2 C) E e+7 psi Gasket Gasket diameter G in Effective gasket width [Table:2.5.2] b.3536 in Gasket factor [Table:2.5.1] m 2 Gasket seating load [Table:2.5.1] y 25 psi Bolts Number n 24 Root diameter dk 1.8 in Nominal diameter a 1.25 in Material G414-SA-193-B7-Class:-Size:<=64 Allowable operating stress Sb psi Allowable installation stress Sa psi Consider bolt factor BSC 2-6(7)? (N=No) Y (Y/N) Lauterbach Verfahrenstechnik GmbH

11 ASME BPVC VIII Example E E PTB Required operation bolt load, Eq.(1) Wm lbf Minimum initial bolt load, Eq.(2) Wm lbf Available cross section of bolts Ab in² Required cross section Wm1/Sb Am in² Required cross section Wm2/Sa Am in² Req. bolt load (5) for gasket seating=(am+ab)*sa/2 W lbf Allowable bolt load = Ab*Sa Wzul lbf Design (gasket seating =1; max. allowable=2) 1 (1,2) Moment = Force * Lever arm = Result MD = HD*hD = lbf * 3.4 in = 484 lbf ft MG = HG*hG = 4434 lbf * in = 892 lbf ft MT = HT*hT = lbf * 2.98 in = 7137 lbf ft Total operating moment M1 = MD + MG + MT = lbf ft Total gasket seating moment, Eq. (6) M2 = W * (C-G)/2 = lbf ft Stress Operation Installation Allowable Longitudinal SH 3864 psi 5238 psi 1.5*S f (8) Ratio SH/Sf Allowable stress Sf psi 215 psi Radial SR 48 psi 553 psi S f (9) Tangential ST psi 2342 psi S f (1) Combination (SH+SR)/2 = 3972 psi 5384 psi S f Combination (SH+ST)/2 = 1571 psi psi S f Bolt pitch BS in in = BSmax (3) Remark Auxiliary values (Fig ) (Fig ) Lauterbach Verfahrenstechnik GmbH

12 ASME BPVC VIII Example E E PTB Eq.(1) Eq.(2) Bolt pitch (3) For (7) KL (=.2 acc. Table 2-14) =.2 J = 52.14*V*[M1 or M2]/L/[E or E2C]/(g-c2)²/KL/h = 52.14* *[ 7.714e+7 or 1.46e+8 ]/ 4.13 / /[ or 21 ]/( 37.8 )²/.2 / Rigidity criterion: J Lauterbach Verfahrenstechnik GmbH

13 ASME BPVC VIII Example E E PTB Appendix: Material documentation Section 2: Flansch/AFL Section 3: Flansch/AFL Material specification: Regulation: ASMET1A:213Spec. No.: SA-15 Product: Forgings Material code: K354-SA-15--Class:-Size: Short name: Carbon steel Design conditions and dimensions: Temperature [ C]: 343,3333 Pressure [bar]: 31,266 Thickness [mm]: 2 Outside diameter [mm]: Material values for test and design conditions: Test condition Operating condition Nominal design strength [N/mm²]: 138, 122,8 Safety factor: 1, 1, Allowable stress [N/mm²]: 138, 122,8 Modulus of elasticity [kn/mm²]: ,6667 Creep rupture strength for 1 h [MPa]: Tensile strength and yield stress at ambient temperature: Diam./ Tensile str. ReH Rupture Rupture Thick. Rm min Rm max elong. elong <= mm MPa MPa MPa längs % quer % K-values as function of the temperature Diam./ Thickn. 5 C 1 C 15 C 2 C 25 C 3 C 35 C 4 C <= mm MPa MPa MPa MPa MPa MPa MPa MPa K-values as function of the temperature Diam./ Thickn. 45 C 5 C 55 C 6 C 65 C 7 C 8 C <= mm MPa MPa MPa MPa MPa MPa MPa Modulus of elasticity in dependence of the temperature: Static modulus of elasticity in [kn/mm²] at the temperature of Coefficient of linear expansion: Thermal coefficient of expansion between 2 C and Density 1 C 2 C 3 C 4 C 5 C 6 C 7 C 8 C Heat Heat (2 C) cond. capac. kg/dm³ 1E-6/K 1E-6/K 1E-6/K 1E-6/K 1E-6/K 1E-6/K 1E-6/K 1E-6/K W/Km J/kgK ,85 12,1 12,7 13,3 13,8 14, Lauterbach Verfahrenstechnik GmbH

14 ASME BPVC VIII Example E E PTB Section 2: Schraube/AFL Section 3: Schraube/AFL Material specification: Regulation: ASMET3:21Spec. No.: SA-193 Product: Bolting Material code: G414-SA-193-B7-Class:-Size:<=64 Short name: 1Cr-.2Mo Design conditions and dimensions: Temperature [ C]: 343,3333 Pressure [bar]: 31,266 Thickness [mm]: 2 Outside diameter [mm]: Material values for test and design conditions: Test condition Operating condition Nominal design strength [N/mm²]: 172, 172, Safety factor: 1, 1, Allowable stress [N/mm²]: 172, 172, Modulus of elasticity [kn/mm²]: ,4 Creep rupture strength for 1 h [MPa]: Tensile strength and yield stress at ambient temperature: Diam./ Tensile str. ReH Rupture Rupture Thick. Rm min Rm max elong. elong <= mm MPa MPa MPa längs % quer % K-values as function of the temperature Diam./ Thickn. 5 C 1 C 15 C 2 C 25 C 3 C 35 C 4 C <= mm MPa MPa MPa MPa MPa MPa MPa MPa K-values as function of the temperature Diam./ Thickn. 45 C 5 C 55 C 6 C 65 C 7 C 8 C <= mm MPa MPa MPa MPa MPa MPa MPa Modulus of elasticity in dependence of the temperature: Static modulus of elasticity in [kn/mm²] at the temperature of Static modulus of elasticity in [kn/mm²] at the temperature of Coefficient of linear expansion: Thermal coefficient of expansion between 2 C and Density 1 C 2 C 3 C 4 C 5 C 6 C 7 C 8 C Heat Heat (2 C) cond. capac. kg/dm³ 1E-6/K 1E-6/K 1E-6/K 1E-6/K 1E-6/K 1E-6/K 1E-6/K 1E-6/K W/Km J/kgK Lauterbach Verfahrenstechnik GmbH

15 ASME BPVC VIII Example E E PTB ,85 12,1 12,7 13,3 13,8 14, Lauterbach Verfahrenstechnik GmbH