ASME BPVC VIII Example E E4.3.8 PTB

Transcription

1 ASME BPVC VIII Example E E4.3.8 PTB Table of contents Comparison - Form for equations... 2 Example E Conical Transitions Without a Knuckle... 3 E4.3.7 Large End - Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 217 Edition. 5 Example E Conical Transitions with a Knuckle... 7 E Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 217 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 E4.3.8 PTB Comparison - Form for equations Equation form Coent Results for example E acc. ASME and Lauterbach Verfahrenstechnik GmbH (LV) The LV-program uses formulas for thick Shells acc.asme VIII Div.1 UG32 and App.1. Equations Conversion factor 2in = ^2toin^2=.155 'Results Ex. E4.3.7 LV and ASME Larg End Del acc.to LV = #58(2) Del acc. to Asme = 3 Required thickness t acc. LV t7 = 2in*#64(2) Required thickness t ASME t7asme = Difference in % Diff1 = (t7-t7asme)/t7asme*1 'Results Ex. E4.3.7 LV and ASME Small End Del acc.to LV = #58(3) Del acc. to Asme = Required area acc. LV Ars =.155*#62(3) Required area ASME ArsAsme = Difference in % Diff2a = (Ars-ArsAsme)/ArsAsme*1 Required area acc. LV Aes =.155*#67(3) Required area ASME AesAsme = Difference in % Diff2b = (Aes-AesAsme)/AesAsme*1 'Results Ex. E4.3.8 LV and ASME Required thickness t acc. LV t = 2in*#15(4) Required thickness tk ASME tkasme =.6778 Difference in % Diff3 = (t-tkasme)/tkasme*1 Required thickness t1 acc. LV t1 = 2in*#12(4) Required thickness tc ASME tcasme =.9749 Difference in % Diff4 = (t1-tcasme)/tcasme*1 'Maximum difference between LV and ASME Dmax = Max( Diff1 ; Diff2a ; Diff2b ; Diff3 ; Diff4 ) Value e Lauterbach Verfahrenstechnik GmbH

3 ASME BPVC VIII Example E E4.3.8 PTB Example E Conical Transitions Without a Knuckle Determine if the proposed large and small end cylinder-to-cone transitions are adequately designed considering the following design conditions and applied forces and moments. Evaluate the stresses in the cylinder and cone at both the large and small end junction. Vessel Data: Material = SA -516, Grade 7, Normalized Design Conditions = 356 F Inside Radius (Large End) = 75. in Thickness (Large End) = in Cylinder Length (Large End) = 6. in Inside Radius (Small End) = 45. in Thickness (Small End) = in Cylinder Length (Small End) = 48. in Thickness (Conical Section) = in Length of Conical Section = 78. in Corrosion Allowance =.125 in Allowable Stress = 2 psi Weld Joint Efficiency = 1. One-Half Apex Angle (See Figure E4.3.7) = deg Axial Force (Large End) = lbs Net Section Bending Moment (Large End) = 5.46E + 6 in - lbs Axial Force (Small End) = -7814/bs Net Section Bending Moment (Small = 4.31E +6 in-lbs Lauterbach Verfahrenstechnik GmbH

4 ASME BPVC VIII Example E E4.3.8 PTB Adjust variables for corrosion Lauterbach Verfahrenstechnik GmbH

5 ASME BPVC VIII Example E E4.3.8 PTB E4.3.7 Large End - Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 217 Edition Cone-to-cylinder junction (wide end) Type of reinforcing ring ( = no, 1 = at the cylinder, 2 = at the cone) Without stiffener Design pressure Hydrostatic head Calculation pressure Calculation temperature Axial load based on circumference (for compression negative) p D D p p T f psi F lbf/in Cylinder Outside diameter Final wall thickness Material K27-SA Class:-Size: Wall thickness allowance Allowance (corrosion) Thickness without allowances Inside radius Allowable stress Modulus of elasticity Joint efficiency factor Cone Half-apex angle ( 3 ) Final wall thickness Material K27-SA Class:-Size: Wall thickness allowance Allowance (corrosion) Effective thickness Allowable stress Modulus of elasticity Joint efficiency factor (= D /2-t s ) D t 1 c 1 c 2 t s R L S s E s E 1 α t 2 c 1 c 2 t c S c E c E in N/² N/² N/² N/² Lauterbach Verfahrenstechnik GmbH

6 ASME BPVC VIII Example E E4.3.8 PTB Results Geometrical conditions valid Strength condition Wall thickness acceptable Factor k 1 Ratio Angle (Reinforcement required if < P /S s E ) α Effective load lbf/in Q L Required thickness cylinder (UG-27) t with allowances (t t+) t+ Required thickness cone (UG-32) t r with allowances (t t r +) t r + Required cross sectional area Available cross section Required area of reinforcement Available area of reinforcement b v t v A rl A el A r A v in in in² ² in² ² Maximum distance from the connection point of the complete reinforcing area centroid of reinforcing area Equations [R L t s ].25 [R L t s ] Lauterbach Verfahrenstechnik GmbH

7 ASME BPVC VIII Example E E4.3.8 PTB E4.3.7 Small End - Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 217 Edition Cone-to-cylinder junction (small end) Type of reinforcing ring ( = no, 1 = at the cylinder, 2 = at the cone) Without stiffener Design pressure Hydrostatic head Calculation pressure Calculation temperature Axial load based on circumference (for compression negative) p D D p p T f psi F lbf/in Cylinder Outside diameter Final wall thickness Material K27-SA Class:-Size: Wall thickness allowance Allowance (corrosion) Effective thickness Inside radius Allowable stress Modulus of elasticity Joint efficiency factor Cone Half-apex angle ( 3 ) Final wall thickness Material K27-SA Class:-Size: Wall thickness allowance Allowance (corrosion) Thickness without allowances Allowable stress Modulus of elasticity Joint efficiency factor (= D /2-t s ) D t 1 c 1 c 2 t s R S S s E s E 1 α t 2 c 1 c 2 t c S c E c E in N/² N/² N/² N/² Lauterbach Verfahrenstechnik GmbH

8 ASME BPVC VIII Example E E4.3.8 PTB Results Geometrical conditions valid Strength condition Wall thickness acceptable Factor Ratio Angle Effective load P /S s E 1 k Q S N/ Required thickness cylinder (UG-27) t with allowances (t t+) t+ Required thickness cone (UG-32) t r with allowances (t t r +) t r + Required cross sectional area Available cross section Required area of reinforcement Available area of reinforcement b v t v A rs A es A r A v in in ² ² in² ² Maximum distance from the connection point of the complete reinforcing area centroid of reinforcing area Equations [R L t s ].25 [R L t s ] Lauterbach Verfahrenstechnik GmbH

9 ASME BPVC VIII Example E E4.3.8 PTB Example E Conical Transitions with a Knuckle Determine if the proposed design for the large end of a cylinder-to-cone junction with a knuckle is adequately designed considering the following design conditions and applied forces and moments, see Figure E4.3.8 for details. Vessel Data: Material Design Conditions = = SA-516, Grade 7, Normalized 28 psig@3 F Inside Diameter (Large End) = 12. in Inside Radius (Large End) Knuckle Radius = = 6. in 1. in Large End Thickness = 1. in Cone Thickness = 1. in Knuckle Thickness = 1. in Corrosion Allowance =. in Allowable Stress = 2 psi Weld Joint Efficiency = 1. One-half Apex Angle = 3. deg Axial force (Large End) = - 1 lbs Net Section Bending Moment (Large End) = 2.E + 6 in -lbs Lauterbach Verfahrenstechnik GmbH

10 ASME BPVC VIII Example E E4.3.8 PTB Lauterbach Verfahrenstechnik GmbH

11 ASME BPVC VIII Example E E4.3.8 PTB E Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 217 Edition Toriconical sections Design pressure Hydrostatic head Calculation pressure Calculation temperature p D D p p T psi F Final wall thickness Wall thickness allowance Allowance (corrosion) Effective thickness witout allowances t e c 1 c 2 t Outside diameter of cylindrical shell Inside diameter of cylindrical shell Semi-apex angle Knuckle radius (.6 Da, 3 t e ) Weld joint efficiency factor (= D -2t ) D D α r E in Material K27-SA Class:-Size: Allowable stress S 138 N/² Lauterbach Verfahrenstechnik GmbH

12 ASME BPVC VIII Example E E4.3.8 PTB Calculation Largest inside diameter of cone Equivalent radius Ratio Factor Required knuckle thickness Allowable inside pressure of knuckle D i L L/r M t P Calculation diameter of cone Required cone thickness at D 1 t 1 Allowable inside pressure of cone D 1 P Remark Required thickness incl. allowances t+c 1 +c 2 t+ Allowable excess pressure Min(P, P 1 ) P m Allowable excess pressure without hydr. Head MAWP Geometrical conditions valid Strength condition Wall thickness acceptable Equations knuckle Equations cone.. Lauterbach Verfahrenstechnik GmbH

13 ASME BPVC VIII Example E E4.3.8 PTB Appendix: Material documentation Section 2: Zylinder/UG32 Section 2: Kegel/UG32 Section 3: Zylinder/UG32 Section 3: Kegel/UG32 Section 4: Boden/UG32 Material specification: Regulation: ASMET1A:215Spec. No.: SA-516 Product: Plate Material code: K27-SA Class:-Size: Short name: Carbon steel Design conditions and dimensions: Temperature [ C]: 148,8889 Pressure []: Thickness []: 46,4 Outside diameter []: 391,76 Material values for test and design conditions: Test condition Operating condition Nominal design strength [N/²]: 138, 138, Safety factor: 1, 1, Allowable stress [N/²]: 138, 138, Modulus of elasticity [kn/²]: ,667 Notes: G1 General Requirements Upon prolonged exposure to temperatures above 425 C, the carbide phase of carbon steel may be converted to graphite. See Nonmandatory Appendix A, A 21 and A 22. S1 Size Requirements For Section I applications, stress values at temperatures of 45 C and above are permissible but, except for tubular products 75 O.D. or less enclosed within the boiler setting, use of these materials at these temperatures is not current practice. T2 Time-Dependent Properties Allowable stresses for temperatures of 4 C and above are values obtained from time dependent properties. -- 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 <= 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 <= 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 <= MPa MPa MPa MPa MPa MPa MPa Lauterbach Verfahrenstechnik GmbH

14 ASME BPVC VIII Example E E4.3.8 PTB Modulus of elasticity in dependence of the temperature: Static modulus of elasticity in [kn/²] 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