ASME BPVC VIII Example E E4.3.5 PTB

Transcription

1 ASME BPVC VIII Table of contents Table of contents... 1 Comparison Form for equations... 2 Example E Cylindrical Shell... 3 E4.3.1 Thickness of shells under internal pressure ASME BPVC VIII UG-27 & APPENDIX-1, 215 Edition... 4 Example E Conical Shell... 7 E4.3.2 Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 215 Edition... 8 Example E Spherical Shell... 1 E4.3.3 Thickness of shells under internal pressure ASME BPVC VIII UG-27 & APPENDIX-1, 215 Edition Example E Torispherical Head E4.3.4 Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 215 Edition Example E Elliptical Head E4.3.5 Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 215 Edition Appendix: Material documentation Layout Input values: or Calculated values: or Critical values: or Estimated values: or Lauterbach Verfahrenstechnik GmbH

2 ASME BPVC VIII Comparison Form for equations Equation form Comment Results for example E4.3 acc. ASME and Lauterbach Verfahrenstechnik GmbH (LV) The LV-program uses formulas for thick Shells acc.asme VIII Div.1 UG27/32 and App.1. Equations Conversion factor mm2in = MPa2psi = 'Results Ex. E4.3.1 LV and ASME Required thickness t acc. LV t1 = mm2in*#6(1) Required thickness tc ASME tc1asme =.8119 Difference in % Diff1 = (t1-tc1asme)/tc1asme*1 'Results Ex. E4.3.2 LV and ASME Required thickness acc. LV t2 = mm2in*#15(7) Required thickness ASME tc2asme = Difference in % Diff2 = (t2-tc2asme)/tc2asme*1 'Results Ex. E4.3.3 LV and ASME Required thickness t acc. LV t3 = mm2in*#25(8) Required thickness tc ASME tc3asme = Difference in % Diff3 = (t3-tc3asme)/tc3asme*1 'Results Ex. E4.3.4 LV and ASME Allowable Pressure P acc. LV P4 = MPa2psi*#16(5) Allowable Pressure P ASME P4Asme = Difference in % Diff4 = (P4-P4Asme)/P4Asme*1 'Results Ex. E4.3.5 LV and ASME Allowable Pressure P acc. LV P5 = MPa2psi*#16(9) Allowable Pressure P ASME P5Asme = Difference in % Diff5 = (P5-P5Asme)/P5Asme*1 'Maximum difference between LV and ASME Dmax = Max( Diff1 ; Diff2 ; Diff3 ; Diff4 ; Diff5 ) Value e e Lauterbach Verfahrenstechnik GmbH

3 Example E Cylindrical Shell ASME BPVC VIII Determine the required thickness for a cylindrical shell considering the following design conditions. All Category A and B joints are Type 1 butt welds and have been 1% radiographically examined. Vessel Data: Material = SA-516, Grade 7, Normalized Design Conditions = 356 psig@3 F Inside Diameter = 9. in Corrosion Allowance =.125 in Allowable Stress = 2 psi Weld Joint Efficiency = 1. Determine the inside radius and adjust for corrosion allowance. Lauterbach Verfahrenstechnik GmbH

4 ASME BPVC VIII E4.3.1 Thickness of shells under internal pressure ASME BPVC VIII UG-27 & APPENDIX-1, 215 Edition Cylindrical shells Design pressure P D 356 psi p D 356 psi Hydrostatic head D P psi D p psi Calculation pressure P 356 psi p 356 psi Calulation temperature 3 F T Outside diameter D 98 in Design wall thickness t e 4 in Wall thickness allowance c in Allowance (corrosion) c 2 in Weld joint efficiency E 1 Circumferential weld joint efficiency for Eq. 2 E c Material K27-SA Class:-Size: Allowable stress S 2 psi Results Outside radius Effective thickness R t in in Required thickness t(r ) t(r) thin shell acc. UG in.8119 in thick shell (not applicable).8645 in.814 in Minimum t = Min[t(R);t(R)] t.8119 in Required wall thickness for circumferential seam t long in with allowances t+c 1 +c in Allowable excess pressure P 1633 psi Allowable excess pressure for longitudinal stress for Eq. (2) P long psi Allowable excess pressure without hydrostatic head MAWP 1633 psi Remark For calculation of openings according to UG-37 Required thickness t(e=1).8119 in Allowable unreinforced opening diameter da for welded, brazed, and flued connections acc. UG 36(c)3 da 89 mm for t 1 mm or da 3 1/2 in for t 3/8 in da 6 mm for t > 1 mm or da 2 3/8 in for t > 3/8 in For a vessel thickness > 2*t(E=1) the reinforcement of the vessel alone is sufficient for unreinforced openings, unless additional conditions acc. to UG-37 apply. Lauterbach Verfahrenstechnik GmbH

5 ASME BPVC VIII Equations corroded inside radius 1) Thin shell For and acc. UG-27 Eq.(1) with the inside radius R or with the outside radius R acc. App.1-1 Eq.(1) 2) Thick shell For or with the inside radius R acc. App.1-2 or with the outside radius R acc. App.1-2 Lauterbach Verfahrenstechnik GmbH

6 ASME BPVC VIII Longitudinal Stress (Circumferential Joints) Lauterbach Verfahrenstechnik GmbH

7 ASME BPVC VIII Example E Conical Shell Determine the required thickness for a conical shell considering the following design conditions. All Category A and B joints are Type 1 butt welds and have been 1% radiographically examined. Vessel Data: Material = SA - 516, Grade 7, Normalized Design Conditions = 356 F Inside Diameter (Large End) = 15. in Inside Diameter (Small End) = 9. in Length of Conical Section = 78. in Corrosion Allowance =.125 in Allowable Stress = 2 psi Weld Joint Efficiency = 1. Adjust for corrosion allowance and determine the cone angle. Lauterbach Verfahrenstechnik GmbH

8 ASME BPVC VIII E4.3.2 Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 215 Edition Conical sections with or without knuckle acc. to UG-32(g) Design pressure P D 356 psi = p D 356 psi Hydrostatic head D P psi = D p psi Calculation pressure P 356 psi = p 356 psi Calculation temperature 3 F T Final wall thickness Wall thickness allowance Allowance (corrosion) Effective thickness witout allowances t e c 1 c 2 t in in.125 in in Half-apex angle ( 3 without knuckle) α 21.4 Outside diameter at the large end D in Inside diameter at the large end D 15.1 in Outside diameter at the small end D k 94 in Cone length L in Weld joint efficiency factor E 1 Material K27-SA Class:-Size: Allowable stress S 2 psi Calculation Required thickness t in incl. allowances (t e in t+) t in Allowable excess pressure incl. hydrost. head P psi Allowable excess pressure without hydrostatic Head MAWP psi Remark Geometrical conditions valid Strength condition Wall thickness acceptable For calculation of openings according to UG-37(a) in nomenclature for t r Design diameter according to UG-37(a):tr(b) D 1 in Required thickness t(e=1) in Lauterbach Verfahrenstechnik GmbH

9 ASME BPVC VIII Equations according to UG-32(g) Rem.: App.1-5(d) or (e) indicates if a reinforcement ring is required. Lauterbach Verfahrenstechnik GmbH

10 ASME BPVC VIII Example E Spherical Shell Determine the required thickness for a spherical shell considering the following design conditions. All Category A joints are Type 1 butt welds and have been 1% radiographically examined. Vessel Data: Material = SA -542, TypeD, Class 4a Design Conditions = 28 psig@85 F Inside Diameter = 149. in Corrosion Allowance =. in Allowable Stress = 21 ps Weld Joint Efficiency = 1. Lauterbach Verfahrenstechnik GmbH

11 ASME BPVC VIII E4.3.3 Thickness of shells under internal pressure ASME BPVC VIII UG-27 & APPENDIX-1, 215 Edition Spherical shells Design pressure P D 28 psi p D 28 psi Hydrostatic head D P psi D p psi Calculation pressure P 28 psi p 28 psi Calulation temperature 85 F T Outside diameter D 157 in Design wall thickness t e 4 in Wall thickness allowance c 1 in Allowance (corrosion) c 2 in Weld joint efficiency E 1 - Material K31835-SA-542-D-Class:4a-Size: Allowable stress S 21 psi Results Outside radius Effective thickness R t in in Required thickness t(r ) t(r) thin shell acc. UG in in thick shell (not applicable) in in Minimum t = Min[t(R);t(R)] t in with allowances t+c 1 +c in Allowable excess pressure P 2231 psi Allowable excess pressure without hydrostatic head MAWP 2231 psi Remark Lauterbach Verfahrenstechnik GmbH

12 ASME BPVC VIII For calculation of openings according to UG-37 Minimum required thickness for openings t(e=1) in Allowable unreinforced opening diameter da for welded, brazed, and flued connections acc. UG 36(c)3 da 89 mm for t 1 mm or da 3 1/2 in for t 3/8 in da 6 mm for t > 1 mm or da 2 3/8 in for t > 3/8 in For a vessel thickness > 2*t(E=1) the reinforcement of the vessel alone is sufficient for unreinforced openings, unless additional conditions acc. to UG-37 apply. Equations corroded inside radius 1) Thin shell For and acc. UG-27 Eq.(3) with the inside radius R or with outside radius R acc. App.1-1 Eq.(2) 2) Thick shell For or with the inside radius R acc. App.1-3 Lauterbach Verfahrenstechnik GmbH

13 ASME BPVC VIII or with outside radius R acc. App.1-3 Lauterbach Verfahrenstechnik GmbH

14 Example E Torispherical Head ASME BPVC VIII Determine the maximum allowable working pressure (MAWP) for the proposed seamless torispherical head. The Category B joint joining the head to the shell is a Type 1 butt weld and has been 1% radiographically examined. Vessel Data: Material = SA -387, Grade 11, Class 1 Design Temperature = 65 F Inside Diameter = 72. in Crown Radius = 72. in Knuckle Radius = in Thickness =.625 in Corrosion Allowance =.125 in Allowable Stress = 171 psi Weld Joint Efficiency = 1. Modulus of Elasticity at Design Temperature = 26.55E + 6 psi Yield Strength at Design Temperature = 269 psi Adjust for corrosion allowance Lauterbach Verfahrenstechnik GmbH

15 ASME BPVC VIII E4.3.4 Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 215 Edition Type of head (1=Kloepper-, 2=Korbbogen-, 3=Tori- spherical, 4=Semi-spherical, 3 5=Elliptical 2:1) Torispherical Design pressure P D 136 psi = p D 136 psi Hydrostatic head D P psi = D p psi Calculation pressure P 136 psi = p 136 psi Calculation temperature 65 F T Final wall thickness Wall thickness allowance Allowance (corrosion) Effective thickness witout allowances t e c 1 c 2 t.625 in in.125 in.5 in Outside diameter of cylindrical shell D in Inside diameter of cylindrical shell (= D -2t ) D in Outside crown radius L in Inside crown radius (= L -t ) L in Knuckle radius r 4.5 in Weld joint efficiency E 1 Material data Material K11789-SA Class:1-Size: Elasticity modulus E T 2.66e+7 psi Elastic limit S y psi Reduce allowable *) stress for R m2 > 485 MPa? Yes (Yes/No) Tensile strength at 2 C R m2 619 psi Allowable stress at working temperature acc. ASME-table S T 171 psi at 2 C S psi acc. UG-32(e) or App. 1-4(c) S 171 psi *) According to App. 1-4(c) the allowable stress must be reduced to 138 * ST /S2 (=2 ksi*...) for Rm2 > 485 MPa (7 ksi) Lauterbach Verfahrenstechnik GmbH

16 ASME BPVC VIII Calculation Ratio Factor L/r M Required thickness without allowance t.526 in incl. allowances (t e.625 in t+) t in Allowable excess pressure incl. hydrost. head P psi Allowable excess pressure without hydrostatic Head MAWP psi Geometrical conditions valid Strength condition Final wall thickness 15,875 < 15,943 = required thickness Required thickness for openings acc. to UG-37(a) in nomenclature for t r Using UG-32 with E=1 t(e=1).526 in acc. section (a) in the crown region t 1 (E=1).287 in Allowable unreinforced opening diameter da for welded, brazed, and flued connections acc. UG 36(c)3 d A 89 mm (3.5 in.) for t 1 mm (3/8 in.) d A 6 mm (2 3/8 in.) for t > 1 mm (3/8 in.) Remark Equations For openings in the crown region with Opening diameter d i in Distance between opening center and head center e in Available reinforcement width acc. UG37 Available reinforcement width of the crown b' in Diameter of the crown region d ka in Angle of the knuckle region Arc length of the knuckle region b'' in d ka = (2 L+t e ) (D/2-r)/(L-r) φ = arccos( (D/2-r)/(L-r) ) b' = (d ka -d i )/2 - e b'' = (r+t e ) φ Lauterbach Verfahrenstechnik GmbH

17 Example E Elliptical Head ASME BPVC VIII Determine the maximum allowable working pressure (MAWP) for the proposed seamless 2:1 elliptical head. The Category B joint joining the head to the shell is a Type 1 butt weld and has been 1% radiographically examined. Vessel Data: Material Design Temperature = = SA-516, Grade 7, Norm. 3 F Inside Diameter = 9. in Thickness = in Corrosion Allowance =.125 in Allowable Stress = 2 psi Weld Joint Efficiency = 1. Modulus of Elasticity at Design Temperature = = 28.3E + 6 psi Yield Strength at Design Temperature = 336 psi Determine the elliptical head diameter to height ratio, k, and adjust for corrosion allowance. Lauterbach Verfahrenstechnik GmbH

18 ASME BPVC VIII E4.3.5 Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 215 Edition Ellipsoidal heads acc. UG-32(d) and Appendix 1-4(f) Design pressure P D psi = p D psi Hydrostatic head D P psi = D p psi Calculation pressure P psi = p psi Calculation temperature 3 F T Final wall thickness Wall thickness allowance Allowance (corrosion) Effective thickness witout allowances t e c 1 c 2 t in in.125 in 1 in Outside diameter of cylindrical shell D in Inside diameter of cylindrical shell (= D -2t ) D 9.25 in Outer height of head h 23.5 in Inside depth of head (minor semi-axis= h -t ) h 22.5 in Weld joint efficiency E 1 Material data Material K27-SA Class:-Size: Elasticity modulus E T 2.829e+7 psi Elastic limit S y psi Reduce allowable *) stress for R m2 > 485 MPa? Yes (Yes/No) Tensile strength at 2 C R m psi Allowable stress at working temperature acc. ASME-table S T 2 psi at 2 C S 2 2 psi acc. UG-32(e) or App. 1-4(c) S 2 psi *) According to App. 1-4(c) the allowable stress must be reduced to 138 * ST /S2 (=2 ksi*...) for Rm2 > 485 MPa (7 ksi) Results Ratio D/2h 2 Factor K 1 Factor K1 acc. Table UG-37.9 Required thickness t 1 in incl. allowances (t e in t+) t in Allowable excess pressure incl. hydrostatic Head P psi Allowable excess pressure without hydrostatic Head MAWP psi K 1 Lauterbach Verfahrenstechnik GmbH

19 ASME BPVC VIII Required thickness for openings acc. to UG-37(a) in nomenclature for t r Using UG-32 with E=1 t(e=1) 1 in Section (c) in the centre circle (<.8 D) t 1 (E=1).9 in Equivalent spherical diameter 2 K 1 D D k in Geometrical conditions valid Strength Wall thickness acceptable Allowable unreinforced opening diameter da for welded, brazed, and flued connections acc. UG 36(c)3 d A 89 mm (3.5 in.) for t 1 mm (3/8 in.) d A 6 mm (2 3/8 in.) for t > 1 mm (3/8 in.) Remark Equations according to UG-32 Lauterbach Verfahrenstechnik GmbH

20 ASME BPVC VIII Appendix: Material documentation Section 2: Schale/UG27 Material specification: Regulation: ASMET1A:213Spec. No.: SA-516 Product: Plate Material code: K27-SA Class:-Size: Short name: Carbon steel Design conditions and dimensions: Temperature [ C]: 148,8889 Pressure [bar]: 3,49 Thickness [mm]: 11,6 Outside diameter [mm]: 2489,2 Material values for test and design conditions: Test condition Operating condition Nominal design strength [N/mm²]: 138, 138, Safety factor: 1, 1, Allowable stress [N/mm²]: 138, 138, Modulus of elasticity [kn/mm²]: ,667 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

21 ASME BPVC VIII Section 3: Boden/UG32 Section 6: Boden/UG32 Material specification: Regulation: ASMET1A:213Spec. No.: SA-516 Product: Plate Material code: K27-SA Class:-Size: Short name: Carbon steel Design conditions and dimensions: Temperature [ C]: 148,89 Pressure [bar]: 3,49 Thickness [mm]: 39,96 Outside diameter [mm]: 389,59 Material values for test and design conditions: Test condition Operating condition Nominal design strength [N/mm²]: 138, 138, Safety factor: 1, 1, Allowable stress [N/mm²]: 138, 138, Modulus of elasticity [kn/mm²]: ,666 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

22 ASME BPVC VIII Section 4: Schale/UG27 Material specification: Regulation: ASMET1A:213Spec. No.: SA-542 Product: Plate Material code: K31835-SA-542-D-Class:4a-Size: Short name: 2.25Cr-1Mo-V Design conditions and dimensions: Temperature [ C]: 454,44 Pressure [bar]: 3,49 Thickness [mm]: 11,6 Outside diameter [mm]: 3987,8 Material values for test and design conditions: Test condition Operating condition Nominal design strength [N/mm²]: 168, 144,29 Safety factor: 1, 1, Allowable stress [N/mm²]: 168, 144,29 Modulus of elasticity [kn/mm²]: 2 149,562 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 ,1 12,7 13,3 13,8 14, Lauterbach Verfahrenstechnik GmbH

23 ASME BPVC VIII Section 5: Boden/UG32 Material specification: Regulation: ASMET1A:213Spec. No.: SA-387 Product: Plate Material code: K11789-SA Class:1-Size: Short name: 1.25Cr-.5Mo-Si Design conditions and dimensions: Temperature [ C]: 343,33 Pressure [bar]: 3,49 Thickness [mm]: 15,88 Outside diameter [mm]: 186,55 Material values for test and design conditions: Test condition Operating condition Nominal design strength [N/mm²]: 118, 118, Safety factor: 1, 1, Allowable stress [N/mm²]: 118, 118, Modulus of elasticity [kn/mm²]: ,42 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 ,85 12,1 12,7 13,3 13,8 14, Lauterbach Verfahrenstechnik GmbH