e4.3.1-2-3-4-5-ptb-4-2013

ASME PTB-4-2013

Example E4.3.1 - E4.3.5 BPVC VIII-1 2013

Lauterbach Verfahrenstechnik GmbH 1 27-Feb-2014

Layout

Input values: 1.234 or 1.234 Calculated values: 1.234 or 1.234 Critical values: 1.234 or 1.234 Estimated values: 1.234 or 1.234

Table of contents Table of contents ................................. ............................... 1

Comparison Overview * .................................................. ........... 2

4.3 Internal Design Pressure ...................... ............................... 3

Example E4.3.1 - Cylindrical Shell ................ ............................... 3

E4.3.1 - LV Calculation * .................................................. ....... 4

4.3.2 Example E4.3.2 - Conical Shell ..................................... .. 6

E4.3.2 - LV Calculation * .................................................. ....... 7

4.3.3 Example E4.3.3 - Spherical Shell ..................................... 9

E4.3.3 - LV Calculation * .................................................. ...... 10

Example E4.3.4 - Torispherical Head .......................................... 12

E4.3.4 - LV Calculation * .................................................. ...... 13

Example E4.3.5 - Elliptical Head .............................................. 15

E4.3.5 - LV Calculation * .................................................. ...... 16

Appendix : Material documentation ................. .............................. 18

ASME PTB-4-2013



Equation form

Comments Results for examples E4.3.1 to 5 acc. ASME and Laut erbach Verfahrenstechnik GmbH The LV program uses formulas for thick shells acc.A SME VIII Div.1 UG27/32 and App.1.

Equations Value Conversion factor mm 2in = 0.03937 0.03937 . MPa2 psi = 145.037 145 'Results Ex. E4.3.1 LV and ASME Required thickness t acc. LV t1 = mm2in*#6(1) 0.8119 Required thickness tc ASME tc1 Asme = 0.8119 0.8119 Difference in % Diff1 = (t1-tc1Asme )/tc1Asme*100 -0.00069 'Results Ex. E4.3.2 LV and ASME Required thickness acc. LV t2 = mm2in*#15(7) 1.446 Required thickness ASME tc 2Asme = 1.448 1.448 Difference in % Diff2 = (t2 - tc2Asme)/tc2Asm e*100 -0.1055 'Results Ex. E4.3.3 LV and ASME Required thickness t acc. LV t3 = mm2in*#25(8) 3.726 Required thickness tc ASME tc 3Asme = 3.726 3.726 Difference in % Diff3 = (t3-tc3Asme )/tc3Asme*100 0.01141 'Results Ex. E4.3.4 LV and ASME Allowable Pressure P acc. LV P4 = M Pa2psi*#16(5) 135.3 Allowable Pressure P ASME P4A sme = 135.302 135.3 Difference in % Diff4 = (P4 - P4Asme)/P4Asme*100 0.002143 'Results Ex. E4.3.5 LV and ASME Allowable Pressure P acc. LV P5 = M Pa2psi*#16(9) 442.2 Allowable Pres sure P ASME P5Asme = 442.233 442.2 Difference in % Diff5 = (P5 - P5Asme)/P5Asme*100 0.000181 'Maximum difference between LV and ASME Dmax = Max(|Diff1|;|Diff2|;|Diff3|;|Diff4|;|Diff5|) 0.1055

Comparison Overview*

*Form for equations

ASME PTB-4-2013



4.3 Internal Design Pressure

Example E4.3.1 - Cylindrical Shell

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 100% radiographically examined.

Vessel Data:

• Material = SA-516, Grade 70, Normalized

• Design Conditions = 356 psig@300°F

• Inside Diameter = 90.0 in

• Corrosion Allowance = 0.125 in

• Allowable Stress = 20000 psi

• Weld Joint Efficiency = 1.0

Determine the inside radius and adjust for corrosion allowance.

ASME PTB-4-2013



Cylindrical shells

Design pressure PD 356 psi = pD 356 psi Hydrostatic head DP 0 psi = Dp 0 psi Calculation pressure P0 356 psi = p0 356 psi Calulation temperature T0 300 °F

Outside diameter D0 98 in Design wall thickness te 4 in Wall thickness allowance c1 0.125 in Allowance (corrosion) c2 0 in Weld joint efficiency E 1 -

Material: K02700 - SA- 516 - 70- Class: - Size:

Allowable stress S 20000 psi Results

Outside radius R0 49 in Effective thickness t0 3.875 in

Required thickness t(R0) t(R) thin shell acc. UG-27 0.866 in 0.8119 in thick shell (not applicable) 0.8645 in 0.8104 in Minimum t = Min[t(R);t(R0)] t 20.62 mm with allowances t+c1+c2 0.9369 in

Allowable excess pressure P 1633 psi Allowable excess pressure without hydr. head MAWP 1633 psi

Remark:

For calculation of openings according to UG- 37:

Required thickness t(E=1) 20.62 mm

Allowable unreinforced opening diameter dA for weld ed, brazed, and flued connections acc. UG 36(c)3:

dA ≤ 89 mm for t ≤ 10 mm or: dA ≤ 3 1/2 in for t ≤ 3/8 in dA ≤ 60 mm for t > 10 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 add itional conditions acc. to UG- 37 apply.

E4.3.1 - LV Calculation*

*Thickness of shells under internal pressure ASME BPVC VIII UG-27 & APPENDIX-1, 2013 Edition

ASME PTB-4-2013



Equations: —

P0 = 0.1*p0 = 2.455 = 0.1 * 24.55 R0 = D0 / 2 = 1245 = 2489 / 2 t+c1+c2 = 23.8 = 20.62 + 3.175 + 0 R = R0 - t0 = 1245 - 98.43 = 1146 = corroded inside radius

1) Thin shell: For P0 = 356 psi ≤ 0.385*S*E = 7700 psi

and te = 101.6 ≤ (R0- te) / 2 = ( 1245 - 101.6 )/2 = 571.5

acc. UG - 27 Eq.(1) with the inside radius R:

P0*R 2.455 * 1146 t(R) = = = 20.62

S*E - 0.6*P0 137. 9 * 1 - 0.6 * 2.455

S*E*t0 137.9 * 1 * 98.43 P(R) = = = 11.26

R + 0.6*t0 1146 + 0.6 * 98.43

or with the outside radius R0 acc. App.1- 1 Eq.(1):

P0*R0 2.455 * 1245 t(R 0) = = = 22

S*E + 0.4*P0 137.9 * 1 + 0.4 * 2.455

S*E*t0 137.9 * 1 * 98.43 P(R0) = = = 11.26

R0 - 0.4*t0 1245 - 0.4 * 98.43

2) Thick shell: For P0 = 356 psi > 0.385*S*E = 7700 psi

or te = 101.6 > (R0- te) / 2 = ( 1245 - 101.6 )/2 = 571.5

with the inside radius R acc. App.1- 2:

t(R) = R * ( Exp(P0/(S*E)) - 1 )

20.58 = 1146 * ( Exp( 2.455 / ( 137.9 * 1 ) - 1 )

P(R) = S*E*Log((R+t0)/R)

11.36 = 137.9 * 1 * Log(( 1146 + 98.43 )/ 1146 ))

or with the outside radius R0 acc. App.1- 2:

t(R0) = R0 * ( 1 - Exp( - P0/(S*E)) )

21.96 = 1245 * ( 1 - exp(- 2.455 / ( 137.9 * 1 ) )

P(R0) = S*E*Log(R0/(R0- t0))

11.36 = 137.9 * 1 * Log( 1245 / ( 1245 - 98.43 ))

Log(x) = Ln(x)

ASME PTB-4-2013



4.3.2 Example E4.3.2 - 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 100% radiographically examined. Vessel Data:

• Material = SA - 516, Grade 70, Normalized

• Design Conditions = 356 psig @300°F

• Inside Diameter (Large End) = 150.0 in

• Inside Diameter (Small End) = 90.0 in

• Length of Conical Section = 78.0 in




Adjust for corrosion allowance and determine the cone angle.

ASME PTB-4-2013



Conical sections with or without knuckle acc. to UG - 32(g)

Design pressure PD 356 psi = pD 356 psi Hydrostatic head DP 0 psi = Dp 0 psi Calculation pressure P0 356 psi = p0 356 psi Calculation temperature T0 300 °F

Final wall thickness te 1.573 in Wall thickness allowance c1 0 in Allowance (corrosion) c2 0.125 in Effective thickness witout allowances t0 1.448 in

Half - apex angle ( ≤ 30° without knuckle) α 21.04 ° Outside diameter at the large end D0 153.2 in Inside diameter at the large end D 150.1 in Outside diameter at the small end Dk 94 in Cone length L 76.91 in Weld joint efficiency factor E 1 -

Material: K02700 - SA- 516 - 70- Class: - Size:

Allowable stress S 20000 psi

Calculation:

Required thickness t 1.446 in inc. allowances (te= 1.573 in ≥ t+) t+ 1.571 in

Allowable excess pressure incl. hydrost. head P 356.4 psi without hydrostatic head MAWP 356.4 psi

Remark:

Geometrical conditions: valid

Strength condition: Wall thickness acceptable

For calculation of openings according to UG-37(a) i n nomenclature for tr :

Design diameter according to UG- 37(a):tr(b) D1 in Required thickness t(E=1) in

—


*Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 2013 Edition

ASME PTB-4-2013



Equations according to UG- 32(g):

cos( α ) = cos( 21.04 ) = 0.9333

D = D0 - 2 * t0 / cos( α ) = 3812 = 3891 - 2 * 36.78 / 0.9333

P0*D t = ,

2*cos( α )*(S*E - 0.6*P0)

2.455 * 3812 t = 36.74 =

2 * 0.9333 ( 137.9 * 1 - 0.6 * 2.455 )

2*S*E*t0*cos( α ) P = ,

D + 1.2*t0*cos( α )

2 * 137.9 * 1 * 36.78 * 0.9333 P = 2.457 =

3812 + 1.2 * 36.78 * 0.9333

Rem.: App.1-5(d) or (e) indicates if a reinforcement ring is require d.

ASME PTB-4-2013



4.3.3 Example E4.3.3 - 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 100% radiographically examined.

Vessel Data:

• Material = SA -542, TypeD, Class 4a

• Design Conditions = 2080 psig@850°F



• Allowable Stress = 21000 ps


ASME PTB-4-2013



Spherical shells

Design pressure PD 2080 psi = pD 2080 psi Hydrostatic head DP 0 psi = Dp 0 psi Calculation pressure P0 2080 psi = p0 2080 psi Calulation temperature T0 850 °F

Outside diameter D0 157 in Design wall thickness te 4 in Wall thickness allowance c1 0 in Allow ance (corrosion) c2 0 in Weld joint efficiency E 1 -

Material: K31835 - SA- 542 - D- Class:4a - Size:

Allowable stress S 21000 psi

Results

Outside radius R0 78.5 inEffective thickness t0 4 in

Required thickness t(R0) t(R) thin shell acc. UG-27 3.739 in 3.726 in thick shell (not applicable) 3.793 in 3.782 in Minimum t = Min[t(R );t(R0)] t 94.65 mm with allowances t+c1+c2 3.726 in

Allowable excess pressure P 2231 psi Allowable excess pressure without hydr. head MAWP 2231 psi

Remark:

For calculation of openings according to UG- 37:

Minimum required thickness for openings t(E=1) 94.65 mm

Allowable unreinforced opening diameter dA for weld ed, brazed, and flued connections acc. UG 36 (c)3:

dA ≤ 89 mm for t ≤ 10 mm or: dA ≤ 3 1/2 in for t ≤ 3/8 in dA ≤ 60 mm for t > 10 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 fo r unreinforced openings, unless additional conditio ns acc. to UG- 37 apply.


*Thickness of shells under internal pressure ASME BPVC VIII UG-27 & APPENDIX-1, 2013 Edition

ASME PTB-4-2013



Equations —

P0 = 0.1*p0 = 14.34 = 0.1 * 143.4 R0 = D0 / 2 = 1994 = 3988 / 2 t+c1+c2 = 94.65 = 94.65 + 0 + 0 R = R0 - t0 = 1994 - 101.6 = 1892 = corroded inside radius

1) Thin shell: For P0 = 2080 psi ≤ 0.665*S*E = 14110 psi

and te = 101.6 ≤ 0.356*(R0- te) = 0.356*( 1994 - 101.6 ) = 673.7

acc. UG - 27 Eq.(3) with the inside radius R:

P0*R 14.34 * 1892 t(R) = = = 94.65

2*S*E - 0.2*P0 2* 144.8 * 1 - 0.2* 14.34

2*S*E*t0 2* 144.8 * 1 * 101.6 P(R) = = = 15.38

R + 0.2*t0 1892 + 0.2 * 101.6

or with outside radius R0 acc. App.1- 1 Eq.(2):

P0*R0 14.34 * 1994 t(R0) = = = 94.98

2*S*E+0.8*P0 2* 144.8 * 1 +0.8* 14.34

2*S*E*t0 2* 144.8 * 1 * 101.6 P(R0) = = = 15.38

R0 - 0.8*t0 1994 - 0.8 * 101.6

2) Thick shell: Für P 0 = 2080 psi > 0.665*S*E = 14110 psi

or te = 101.6 > 0.356*(R0- te) = 0.356*( 1994 - 101.6 ) = 673.7

with inside radius R acc. App.1- 3:

t(R) = R * ( Exp(0.5*P0/(S*E)) - 1 )

96.07 = 1994 * ( exp(0.5* 14.34 / ( 144.8 * 1 ) - 1 )

P(R) = 2*S*E*Log((R+t0)/R)

15.14 = 2* 144.8 * 1 * Log(( 1892 + 101.6 )/ 1892 )

or with outside radius R0 acc. App.1- 3:

t(R0) = R0 * ( 1 - Exp( - 0.5*P0/(S*E)) )

96.34 = 1994 * ( 1 - exp(- 0.5* 14.34 / ( 144.8 * 1 ) )

P(R0) = 2*S*E*Log(R0/(R0- t0))

15.14 = 2* 144.8 * 1 * Log( 1994 /( 1994 - 101.6 ))

Log(x) = Ln(x)

ASME PTB-4-2013



Example E4.3.4 - Torispherical Head

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 100% radiographically examined.

Vessel Data:

• Material =

SA -387, Grade 11, Class 1

• Design Temperature = 650°F


• Crown Radius = 72.0 in

• Knuckle Radius = 4.375 in

• Thickness = 0.625 in




• Modulus of Elasticity at Design Temperature

= 26.55E + 06 psi

• Yield Strength at Design Temperature = 26900 psi

Adjust for corrosion allowance

ASME PTB-4-2013



Input: Type of head (1=Kloepper-, 2=Korbbogen-, 3=Tori-

spherical, 4=Semi- spherical, 5=Elliptical 2:1) 3 Torispherical Design pressure PD 136 psi = pD 136 psi Hydrostatic head DP 0 psi = Dp 0 psi Calculation pressure P0 136 psi = p0 136 psi Calculation temperature T0 650 °F

Final wall thick ness te 0.625 in Wall thickness allowance c1 0 in Allowance (corrosion) c2 0.125 in Effective thickness witout allowances t0 0.5 in

Outside diameter of cylindrical shell D0 73.25 in Inside diameter of cylindrical shell (= D0- 2t0) D 72.25 in Outside crown radius L0 72.63 in Inside crown radius (= L0- t0) L 72.13 in Knuckle radius r 4.5 in Weld joint e fficiency E 1 -

Material: K11789-SA-387-11-Class:1-Size:

Elasticity modulus ET 2.660E+7 psi Elastic limit Sy 26948 psi Reduce allowable *) stress for Rm20 > 485 MPa? Yes (Yes/No) Tensile strength at 20°C Rm20 60190 psi Allowable stress:

at working temperature acc. ASME- table ST 17114 psi at 20°C S20 17100 psi acc. UG-32(e) or App. 1- 4(c) S 17100 psi

*) According to App. 1- 4(c) the allowable stress must be reduced to 138 * ST /S20 (=20 ksi*...) for Rm20 > 485 MPa ( 70 ksi)

Calculation:

Ratio L/r 16.03 -Factor M 1.751 -

Required thickness without allowance t 0.5026 ininc. allowances (te= 0.625 in ≥ t+) t+ 0.6276 in

Allowable excess pressure incl. hydrost. head P 135.3 psi without hydrostatic head MAWP 135.3 psi

Geometrical conditions: valid

Strength condition: Final wall thickness 15,875 < 15,9403 = required thickness


*Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 2013 Edition

ASME PTB-4-2013



Required thickness for openings acc. to UG- 37(a) in nomenclature for tr: —

Using UG-32 with E=1 t(E=1) = 0.5026 in acc. section (a) in the crown region t1(E=1) = 0.287 in


dA ≤ 89 mm (3.5 in.) for t ≤ 10 mm (3/8 in.) dA ≤ 60 mm (2 3/8 in.) for t > 10 mm (3/8 in.)

Remark:

Equations:

P0*L*M 0.9377 * 1832 * 1.751 t = 12.77 = =

2*S*E- 0.2*P0 2* 117.9 * 1 - 0.2 * 0.9377

2*S*E*t0 2 * 117.9 * 1 * 12.7 P = ⇔ 0.9329 =

L*M + 0.2*t0 1832 * 1.751 + 0.2 * 12.7

For openings in the crown region with: Opening diameter di 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 dka 67.48 in Angle of the knuckle region phi 62.24 ° Arc length of the knuckle region b ″ 5.567 in

dka = (2*L+te)*(D/2 - r)/(L - r) phi = Arccos( (D/2-r)/(L- r) ) b' = (dka-di)/2 - e b ″ = (r+te)*phi

ASME PTB-4-2013



Example E4.3.5 - Elliptical Head

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 100% radiographically examined. Vessel Data:

• Material

• Design Temperature

= =

SA-516, Grade 70, Norm.

300°F


• Thickness = 1.125 in



• Weld Joint Efficiency

= 1.0

• Modulus of Elasticity at Design Temperature

=

= 28.3E + 06 psi

• Yield Strength at Design Temperature = 33600 psi

Determine the elliptical head diameter to height ratio, k, and adjust for corrosion allowance.

ASME PTB-4-2013



Ellipsoidal heads acc. UG-32(d) and Appendix 1- 4(f)

Design pressure PD 442.2 psi = pD 442.2 psi Hydrostatic head DP 0 psi = Dp 0 psi Calculation pressure P0 442.2 psi = p0 442.2 psi Calculation temperature T0 300 °F

Final wall thickness te 1.125 in Wall thickness allowance c1 0 in Allowance (corrosion) c2 0.125 in Effective thickness witout allowances t0 1 in

Outside diameter of cylindrical shell D0 92.25 in Inside diameter of cylindrical shell (= D0- 2t0) D 90.25 in Outer height of head (minor semi - axis) h0 23.5 in Inside depth of head (minor semi-axis= h0- t0) h 22.5 in Weld joint efficiency E 1 -

Material: K02700-SA-516-70-Class:-Size:

Elasticity modulus ET 2.829E+7 psi Elastic limit Sy 33668 psi Reduce allowable *) stress for Rm20 > 485 MPa? Yes (Yes/No) Tensile st rength at 20°C Rm20 70343 psi Allowable stress:

at working temperature acc. ASME- table ST 20015 psi at 20°C S20 20000 psi acc. UG-32(e) or App. 1- 4(c) S 20000 psi

*) According to App.1-4(c) the allowable stress must be reduced to 138 * ST / S20 (=20 ksi*...) for Rm20 > 485 MPa (70 ksi) and K > 1

Results:

Ratio D/2h 2 -Factor K 1 -Factor K1 acc. Table UG - 37 K1 0.9 -

Required thickness t 1 in incl. allowances (te= 1.125 in ≥ t+) t+ 1.125 in

Allowable excess pressure incl. hydrost. Head P 442.2 psi without hydrostatic head MAWP 442.2 psi

Required thickness for openings acc. to UG- 37(a) in nomenclature for tr:

Using UG- 32 with E=1 t(E=1) 1 in Section (c) in the centre circle < 0.8*D t1(E=1) 0.9 in Equivalent spherical diameter 2*K1*D0 Dk 168.3 in

Geometri cal conditions: valid

Strength: Wall thickness acceptable

—

E4.3.5 - LV Calculation* *Dished heads and cones under internal pressure ASME VIII UG-32 and APPENDIX-1 BPVC 2013 Edition

ASME PTB-4-2013




dA ≤ 89 mm (3.5 in.) for t ≤ 10 mm (3/8 in.) dA ≤ 60 mm (2 3/8 in.) for t > 10 mm (3/8 in.)

Remark:

Equations according to UG- 32:

P0*D*K 3.049 * 2292 * 1 t = ⇔ 25.4 =

2*S*E - 0.2*P0 2* 137.9 * 1 - 0.2* 3.049

2*S*E*t0 2 * 137.9 * 1 * 25.4 P = ⇔ 3.049 =

K*D + 0.2*t0 1 * 2292 + 0.2 * 25.4

Geometry of an equivalent torispherical head: Equivalent spherical inside radius = K1*D L = 81.23 in Knuckle inside radius acc. Table 1.4- 4 r = 15.34 in

ASME PTB-4-2013



Appendix : Material documentation

Section no 2: Schale/UG27Section no 3: Boden/UG32 Material specification: Regulation: ASMET1A:2010Spec. No.: SA-5 16 Product: Plate Material code: K02700-SA-516-70-Class:-Size: Short name: Carbon steel Design conditions and dimensions: Temperature [°C]: 148,8889 Pressure [bar]: 30,49 Thickness [mm]: 101,6 Outside diameter [mm]: 2489,2 Material values for test and design conditions: Test condition O perating condition --------------------- ------------------- Nominal design strength [N/mm²]: 138,00 138,00 Safety factor: 1,00 1,00 Allowable stress [N/mm²]: 138,00 138,00 Modulus of elasticity [kN/mm²]: 202 195,0667 Creep rupture strength for 100000 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.··|50°C·····|100°C····|150°C····|200°C····|2 50°C····|300°C····|350°C····|400°C···· <= mm····|MPa······|MPa······|MPa······|MPa······|M Pa······|MPa······|MPa······|MPa······ ---------+---------+---------+---------+---------+- --------+---------+---------+--------- ·········|·········|138······|138······|138······|1 38······|136······|128······|101······ K-values as function of the temperature Diam./·····|···········|···········|···········|··· ········|···········|···········|··········· Thickn.····|450°C······|500°C······|550°C······|600 °C······|650°C······|700°C······|800°C······ <= mm······|MPa········|MPa········|MPa········|MPa ········|MPa········|MPa········|MPa········ -----------+-----------+-----------+-----------+--- --------+-----------+-----------+----------- ···········|67.1·······|33.6·······|12.9·······|··· ········|···········|···········|··········· Modulus of elasticity in dependence of the temperature: Static modulus of elasticity in [kN/mm²] a t the temperature of -75···|-200··|-125··|25····|100···|150···|200···|25 0···|300···|350···|400···|450···|500···|550··· ------+------+------+------+------+------+------+-- ----+------+------+------+------+------+------ 209···|216···|212···|202···|198···|195···|192···|18 9···|185···|179···|171···|162···|151···|137··· Coefficient of linear expansion: Thermal coefficient of expansion between 20 °C and Density|100°C··|200°C··|300°C··|400°C··|500°C··|600 °C··|700°C··|800°C··|Heat···|Heat··· (20 °C)|·······|·······|·······|·······|·······|··· ····|·······|·······|cond.··|capac.· kg/dm³·|10E-6/K|10E-6/K|10E-6/K|10E-6/K|10E-6/K|10E -6/K|10E-6/K|10E-6/K|W/Km···|J/kgK·· -------+-------+-------+-------+-------+-------+--- ----+-------+-------+-------+------- 7,85···|12,1···|12,7···|13,3···|13,8···|14,4···|-·· ····|-······|-······|·······|·······

ASME PTB-4-2013



Section no 4: Schale/UG27 Material specification: Regulation: ASMET1A:2010Spec. No.: SA-5 42 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]: 30,49 Thickness [mm]: 101,6 Outside diameter [mm]: 3987,8 Material values for test and design conditions: Test condition O perating condition --------------------- ------------------- Nominal design strength [N/mm²]: 168,00 144,29 Safety factor: 1,00 1,00 Allowable stress [N/mm²]: 168,00 144,29 Modulus of elasticity [kN/mm²]: 200 149,5062 Creep rupture strength for 100000 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.··|50°C·····|100°C····|150°C····|200°C····|2 50°C····|300°C····|350°C····|400°C···· <= mm····|MPa······|MPa······|MPa······|MPa······|M Pa······|MPa······|MPa······|MPa······ ---------+---------+---------+---------+---------+- --------+---------+---------+--------- ·········|·········|168······|168······|168······|1 68······|165······|159······|153······ K-values as function of the temperature Diam./·····|···········|···········|···········|··· ········|···········|···········|··········· Thickn.····|450°C······|500°C······|550°C······|600 °C······|650°C······|700°C······|800°C······ <= mm······|MPa········|MPa········|MPa········|MPa ········|MPa········|MPa········|MPa········ -----------+-----------+-----------+-----------+--- --------+-----------+-----------+----------- ···········|145········|137········|···········|··· ········|···········|···········|··········· Modulus of elasticity in dependence of the temperature: Static modulus of elasticity in [kN/mm²] a t the temperature of 260············|370············|480············|425 ············|20·············|150············ ---------------+---------------+---------------+--- ------------+---------------+--------------- 186············|169············|143············|157 ············|200············|200············ Coefficient of linear expansion: Thermal coefficient of expansion between 20 °C and Density|100°C··|200°C··|300°C··|400°C··|500°C··|600 °C··|700°C··|800°C··|Heat···|Heat··· (20 °C)|·······|·······|·······|·······|·······|··· ····|·······|·······|cond.··|capac.· kg/dm³·|10E-6/K|10E-6/K|10E-6/K|10E-6/K|10E-6/K|10E -6/K|10E-6/K|10E-6/K|W/Km···|J/kgK·· -------+-------+-------+-------+-------+-------+--- ----+-------+-------+-------+------- ·······|12,1···|12,7···|13,3···|13,8···|14,4···|-·· ····|-······|-······|·······|·······

ASME PTB-4-2013



Section no 5: Boden/UG32 Material specification: Regulation: ASMET1A:2010Spec. No.: SA-3 87 Product: Plate Material code: K11789-SA-387-11-Class:1-Size: Short name: 1.25Cr-0.5Mo-Si Design conditions and dimensions: Temperature [°C]: 343,33 Pressure [bar]: 30,49 Thickness [mm]: 15,88 Outside diameter [mm]: 1860,55 Material values for test and design conditions: Test condition O perating condition --------------------- ------------------- Nominal design strength [N/mm²]: 118,00 118,00 Safety factor: 1,00 1,00 Allowable stress [N/mm²]: 118,00 118,00 Modulus of elasticity [kN/mm²]: 204 183,4002 Creep rupture strength for 100000 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.··|50°C·····|100°C····|150°C····|200°C····|2 50°C····|300°C····|350°C····|400°C···· <= mm····|MPa······|MPa······|MPa······|MPa······|M Pa······|MPa······|MPa······|MPa······ ---------+---------+---------+---------+---------+- --------+---------+---------+--------- ·········|·········|118······|118······|118······|1 18······|118······|118······|118······ K-values as function of the temperature Diam./·····|···········|···········|···········|··· ········|···········|···········|··········· Thickn.····|450°C······|500°C······|550°C······|600 °C······|650°C······|700°C······|800°C······ <= mm······|MPa········|MPa········|MPa········|MPa ········|MPa········|MPa········|MPa········ -----------+-----------+-----------+-----------+--- --------+-----------+-----------+----------- ···········|114········|74.7·······|36.5·······|17. 6·······|8.08·······|···········|··········· Modulus of elasticity in dependence of the temperature: Static modulus of elasticity in [kN/mm²] a t the temperature of 650··|-75··|-200·|-125·|25···|100··|150··|200··|250 ··|300··|350··|400··|450··|500··|550·· -----+-----+-----+-----+-----+-----+-----+-----+--- --+-----+-----+-----+-----+-----+----- 150··|210··|218··|213··|204··|200··|197··|193··|190 ··|186··|183··|179··|174··|169··|164·· Static modulus of elasticity in [kN/mm²] a t the temperature of 600···············|700···············|············· ·····|··················|·················· ------------------+------------------+------------- -----+------------------+------------------ 157···············|142···············|············· ·····|··················|·················· Coefficient of linear expansion: Thermal coefficient of expansion between 20 °C and Density|100°C··|200°C··|300°C··|400°C··|500°C··|600 °C··|700°C··|800°C··|Heat···|Heat··· (20 °C)|·······|·······|·······|·······|·······|··· ····|·······|·······|cond.··|capac.· kg/dm³·|10E-6/K|10E-6/K|10E-6/K|10E-6/K|10E-6/K|10E -6/K|10E-6/K|10E-6/K|W/Km···|J/kgK·· -------+-------+-------+-------+-------+-------+--- ----+-------+-------+-------+------- 7,85···|12,1···|12,7···|13,3···|13,8···|14,4···|-·· ····|-······|-······|·······|·······

ASME PTB-4-2013



Section no 6: Boden/UG32 Material specification: Regulation: ASMET1A:2010Spec. No.: SA-5 16 Product: Plate Material code: K02700-SA-516-70-Class:-Size: Short name: Carbon steel Design conditions and dimensions: Temperature [°C]: 148,89 Pressure [bar]: 30,49 Thickness [mm]: 28,58 Outside diameter [mm]: 2343,15 Material values for test and design conditions: Test condition O perating condition --------------------- ------------------- Nominal design strength [N/mm²]: 138,00 138,00 Safety factor: 1,00 1,00 Allowable stress [N/mm²]: 138,00 138,00 Modulus of elasticity [kN/mm²]: 202 195,0666 Creep rupture strength for 100000 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.··|50°C·····|100°C····|150°C····|200°C····|2 50°C····|300°C····|350°C····|400°C···· <= mm····|MPa······|MPa······|MPa······|MPa······|M Pa······|MPa······|MPa······|MPa······ ---------+---------+---------+---------+---------+- --------+---------+---------+--------- ·········|·········|138······|138······|138······|1 38······|136······|128······|101······ K-values as function of the temperature Diam./·····|···········|···········|···········|··· ········|···········|···········|··········· Thickn.····|450°C······|500°C······|550°C······|600 °C······|650°C······|700°C······|800°C······ <= mm······|MPa········|MPa········|MPa········|MPa ········|MPa········|MPa········|MPa········ -----------+-----------+-----------+-----------+--- --------+-----------+-----------+----------- ···········|67.1·······|33.6·······|12.9·······|··· ········|···········|···········|··········· Modulus of elasticity in dependence of the temperature: Static modulus of elasticity in [kN/mm²] a t the temperature of -75···|-200··|-125··|25····|100···|150···|200···|25 0···|300···|350···|400···|450···|500···|550··· ------+------+------+------+------+------+------+-- ----+------+------+------+------+------+------ 209···|216···|212···|202···|198···|195···|192···|18 9···|185···|179···|171···|162···|151···|137··· Coefficient of linear expansion: Thermal coefficient of expansion between 20 °C and Density|100°C··|200°C··|300°C··|400°C··|500°C··|600 °C··|700°C··|800°C··|Heat···|Heat··· (20 °C)|·······|·······|·······|·······|·······|··· ····|·······|·······|cond.··|capac.· kg/dm³·|10E-6/K|10E-6/K|10E-6/K|10E-6/K|10E-6/K|10E -6/K|10E-6/K|10E-6/K|W/Km···|J/kgK·· -------+-------+-------+-------+-------+-------+--- ----+-------+-------+-------+------- 7,85···|12,1···|12,7···|13,3···|13,8···|14,4···|-·· ····|-······|-······|·······|·······

e4.3.1-2-3-4-5-ptb-4-2013

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