Stress Young Modulus and Thermal Expansion Coefficients of Steels

Propiedades de metalesMetal properties at operation temperaturetref =21.1Ctoperacion =40Ctoperacion =50Ctoperacion =121CAllowable stressElasticity moduleCoefficient of linear expansionMetal allowable stress accordingElasticity module for metal groupsLinear expansion coefficient calculatedTable A-1. Basic alowable stresses inaccording Table C-1 (SI),Table based on ASTM C-1 of B31.3-2006tension for metals (Page 157 -ASME B31.1-2001161) de ASME B31.3-2002Material:MaterialMaterialsallow =144.8MPaE =201.0GPal =1.17E-05m/(m*K)Do not delete these rows. They contain Annexes for interpolation of the properties of selected metal at operating temperatureAnexo AInterpolacin para el esfuerzo admisible del material(Tabla A-1, Hoja 3)t =40C(Para t < 38 C, la tabla utiliza 38 C)Row =11(Selected material)Col_A =3tA =37.8CsA =144.8MPaCol_B =4tB =93.3CsB =144.8MPaS =sB + (sA - sB) * (tb - t)/(tb - ta)S =144.8MPa00Anexo BInterpolacin para el mdulo de elasticidad del tipo de material(Tabla C-1, Hoja 5)Para t < -200 C, se usan datos para -200 Ct =50CInformacin disponible, para la mayora de los tipos de materiales, tmax = 649 C.Row =1(Selected material)Col_A =4tA =50.0CEA =201.0GPaCol_B =5tB =100.0CEB =198.0GPaE =EB + (EA - EB) * (tb - t)/(tb - ta)E =201.0GPa00Anexo CInterpolacin para el coeficiente de expansin trmica del material(Tabla C-1, Hoja 8)t =121C(Para t < 38 C, la tabla utiliza 38 C)Row =1(Selected material)Col_A =29tA =107.2ClA =1.1E-05m/(m*K)Col_B =30tB =121.1ClB =1.2E-05m/(m*K)l =sB + (sA - sB) * (tb - t)/(tb - ta)l =1.17E-05m/(m*K)00cjc. Rev.02,08,2013

3.- Table A-1 ASME B31.311Allowable stress as function of temperature [MPa]TEMPERATURE C1234567891011121314151617181920212223242526Spec & GradeMaterial389314920426031634337139942745448251053856659362164967770473276078881612345678910111213141516171819202122232425261A 53(Type F) Gr.A110.3110.3110.3110.3"N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A"2A 53 - Gr. A110.3110.3110.3110.3110.3102.0100.099.373.864.154.544.831.017.211.06.9"NA""NA""NA""NA""NA""NA""NA""N/A"3A 53 - Gr. B137.9137.9137.9137.9130.3119.3117.2113.889.674.560.044.831.017.2"NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"4A 106 - Gr. A110.3110.3110.3110.3110.3102.0100.099.373.864.154.544.831.017.211.06.9"NA""NA""NA""NA""NA""NA""NA""N/A"5A106 - Gr. B137.9137.9137.9137.9130.3119.3117.2113.889.674.560.044.831.017.2"NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"6A106 - Gr. C160.6160.6160.6157.9148.9135.8133.8132.4102.082.7"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"7API 5L - Gr. A110.3110.3110.3110.3"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"8API 5L - Gr. A25103.4103.4100.095.1"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"9API 5L - Gr. B137.9137.9137.9137.9130.3119.3117.2113.889.674.560.044.831.017.211.06.9"NA""NA""NA""NA""NA""NA""NA""N/A"10API 5L - Gr. X42137.9137.9137.9137.9"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"11API 5L - Gr. X46144.8144.8144.8144.8"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"12API 5L - Gr. X52151.7151.7151.7151.7"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"13API 5L - Gr. X56163.4163.4163.4163.4"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"14API 5L - Gr. X60172.4172.4172.4172.4"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"15API 5L - Gr. X65177.2177.2177.2177.2"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"16API 5L - Gr. X70188.2188.2188.2188.2"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"17API 5L - Gr. X80206.8206.8206.8206.8"NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""NA""N/A"18A312 - Gr. TP 304137.9137.9137.9128.9120.7113.1111.7110.3107.6104.8102.7100.799.395.184.166.953.141.432.425.520.015.912.49.719A312 - Gr. TP 304L115.1115.1115.1108.9102.096.594.593.191.789.688.382.068.353.843.435.227.622.117.914.511.77.66.96.220A312 - Gr. TP 304H137.9137.9137.9128.9120.7113.1111.7110.3107.6104.8102.7100.799.395.184.166.953.141.432.425.520.015.912.49.721A312 - Gr. TP 309137.9137.9137.9137.9137.9132.4129.6126.2124.1120.7100.795.886.272.458.644.834.526.220.015.912.49.06.24.822A312 - Gr. TP 310137.9137.9137.9137.9137.9132.4129.6126.2124.1120.7100.795.886.275.849.034.524.817.210.35.53.42.82.11.423A312 - Gr. TP 316137.9137.9137.9133.1123.4117.2115.1112.4111.0109.6108.2106.9106.2105.5100.085.567.651.037.928.321.415.911.79.024A312 - Gr. TP 316L115.1115.1115.1106.999.393.191.088.986.985.583.481.479.377.274.570.360.744.132.424.117.212.49.06.925A312 - Gr. TP 316H137.9137.9137.9133.1123.4117.2115.1112.4111.0109.6108.2106.9106.2105.5100.085.567.651.037.928.321.415.911.79.026A312 - Gr. TP 317137.9137.9137.9133.1123.4117.2115.1112.4111.0109.6108.2106.9106.2105.5100.085.567.651.037.928.321.415.911.79.027A312 - Gr. TP 317L137.9137.9137.9130.3122.0115.8114.5111.7108.9106.9104.8"N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A""N/A"1234567891011121314151617181920212223242526t =593621.0S =66.953.1Table A-1. Basic alowable stresses in tension for metals (Page 157 - 161) de ASME B31.3-2002ASME B31.3-2002Table A-1. Basic alowable stresses in tension for metals (Page 157 - 161)Allowable stress as function of temperature [MPa]TEMPERATURE CSpecGrade38931492042603163433713994274544825105385665936216496777047327607888161A 53Gr. A110.3110.3110.3110.32A 53A110.3110.3110.3110.3110.3102.0100.099.373.864.154.544.831.017.211.06.93A 53B137.9137.9137.9137.9130.3119.3117.2113.889.674.560.044.831.017.24A 106A110.3110.3110.3110.3110.3102.0100.099.373.864.154.544.831.017.211.06.95A106B137.9137.9137.9137.9130.3119.3117.2113.889.674.560.044.831.017.26A106C160.6160.6160.6157.9148.9135.8133.8132.4102.082.77API 5LA110.3110.3110.3110.38API 5LA25103.4103.4100.095.19API 5LB137.9137.9137.9137.9130.3119.3117.2113.889.674.560.044.831.017.211.06.910API 5LX42137.9137.9137.9137.911API 5LX46144.8144.8144.8144.812API 5LX52151.7151.7151.7151.713API 5LX56163.4163.4163.4163.414API 5LX60172.41482.4172.4172.415API 5LX65177.2177.2177.2177.216API 5LX70188.2188.2188.2188.217API 5LX80206.8206.8206.8206.818A312TP 304137.9137.9137.9128.9120.7113.1111.7110.3107.6104.8102.7100.799.395.184.166.953.141.432.425.520.015.912.49.719A312TP 304L115.1115.1115.1108.9102.096.594.593.191.789.688.382.068.353.843.435.227.622.117.914.511.77.66.96.220A312TP 304H137.9137.9137.9128.9120.7113.1111.7110.3107.6104.8102.7100.799.395.184.166.953.141.432.425.520.015.912.49.721A312TP 309137.9137.9137.9137.9137.9132.4129.6126.2124.1120.7100.795.886.272.458.644.834.526.220.015.912.49.06.24.822A312TP 310137.9137.9137.9137.9137.9132.4129.6126.2124.1120.7100.795.886.275.849.034.524.817.210.35.53.42.82.11.423A312TP 316137.9137.9137.9133.1123.4117.2115.1112.4111.0109.6108.2106.9106.2105.5100.085.567.651.037.928.321.415.911.79.024A312TP 316L115.1115.1115.1106.999.393.191.088.986.985.583.481.479.377.274.570.360.744.132.424.117.212.49.06.925A312TP 316H137.9137.9137.9133.1123.4117.2115.1112.4111.0109.6108.2106.9106.2105.5100.085.567.651.037.928.321.415.911.79.026A312TP 317137.9137.9137.9133.1123.4117.2115.1112.4111.0109.6108.2106.9106.2105.5100.085.567.651.037.928.321.415.911.79.027A312TP 317L137.9137.9137.9130.3122.0115.8114.5111.7108.9106.9104.8ASME B31.3-2006Table A-1. Basic alowable stresses in tension for metals (Page 157 - 161)Carbon steel pipes and tubes. Pag. 140- 144Allowable stress as function of temperature [ksi]1 ksi =6.89476MpaTEMPERATURE C3893149204260316343371399427454482510538566593621649677704732760788816Temperature FMaterialSpecGrade10020030040050060065070075080085090095010001050110011501200125013001350140014501500Type FA 53Gr. A, Type F16161616A 53A161616161614.814.514.410.79.37.96.54.52.51.61A 53B2020202018.917.31716.51310.88.76.54.52.51.61A 106A161616161614.814.514.410.79.37.96.54.52.51.61A106B2020202018.917.31716.51310.88.76.54.52.51.61A106C23.323.323.322.921.619.719.419.214.812API 5LA161616161614.814.514.410.79.37.96.54.52.51.61Butt weldAPI 5LA25151514.513.8API 5LB2020202018.917.31716.51310.88.76.54.52.51.61API 5LX4220202020API 5LX4621212121API 5LX5222222222API 5LX5623.723.723.723.7API 5LX60252152525API 5LX6525.725.725.725.7API 5LX7027.327.327.327.3API 5LX80303030301A312TP 30420202018.717.516.416.21615.615.214.914.614.413.812.29.77.764.73.72.92.31.81.42A312TP 304L16.716.716.715.814.81413.713.513.31312.811.99.97.86.35.143.22.62.11.71.110.93A312TP 304H20202018.717.516.416.21615.615.214.914.614.413.812.29.77.764.73.72.92.31.81.44A312TP 309202020202019.218.818.31817.514.613.912.510.58.56.553.82.92.31.81.30.90.75A312TP 310202020202019.218.818.31817.514.613.912.5117.153.62.51.50.80.50.40.30.26A312TP 31620202019.317.91716.716.316.115.915.715.515.415.314.512.49.87.45.54.13.12.31.71.37A312TP 316L16.716.716.715.514.413.513.212.912.612.412.111.811.511.210.810.28.86.44.73.52.51.81.318A312TP 316H20202019.317.91716.716.316.115.915.715.515.415.314.512.49.87.45.54.13.12.31.71.39A312TP 31720202019.317.91716.716.316.115.915.715.515.415.314.512.49.87.45.54.13.12.31.71.310A312TP 317L20202018.917.716.816.616.215.815.515.2ASME B31.3-2002Table A-1. Basic alowable stresses in tension for metals (Page 157 - 161)3893149204260316343371399427454482510538566593toMaterialSpecGrade100200300400500600650700750800850900950100010501100A 285 Gr. AA 1341514.614.213.71311.811.611.510.397.86.6A 285 Gr. AA 672A451514.614.213.71311.811.611.510.397.86.54.52.51.61Butt weldAPI 5LA2515415154.513.8-smlsAPI 5LA2515415154.513.8-Type FA 53Gr. A1616161616-A 53A161616161614.814.514.410.79.37.96.54.52.51.61A 106A161616161614.814.514.410.79.37.96.54.52.51.61A 135A161616161614.814.514.410.79.37.96.54.52.51.61A 369FPA161616161614.814.514.410.79.37.96.54.52.51.61API 5LA161616161614.814.514.410.79.37.96.54.52.51.61A 285 Gr. BA 13416.716.41615.414.613.313.11311.29.68.16.5-A 285 Gr. BA 672A 5016.716.41615.414.613.313.11311.29.68.16.54.52.51.61285 Gr. BA 13418.318.317.717.216.214.814.514.41210.28.36.5-A 516 Gr. 60A 671CC602019.519.818.317.315.815.515.41310.88.76.54.52.5-A 515 Gr. 60A 671C8602019.519.818.317.315.815.515.41310.88.76.54.52.51.61A 515 Gr. 61A 672B602019.519.818.317.315.815.515.41310.88.76.54.52.51.61A 516 Gr. 62A 672C602019.519.818.317.315.815.515.41310.88.76.54.52.51.61A 53B2020202018.917.31716.51310.88.76.54.52.5-A106B2020202018.917.31716.51310.88.76.54.52.5-A 33362020202018.917.31716.51310.88.76.54.52.5-A 33462020202018.917.31716.51310.88.76.54.52.5-A 369FPB2020202018.917.31716.51310.88.76.54.52.5-A 381Y352020202018.917.31716.51310.88.76.54.52.5-API 5LB2020202018.917.31716.51310.88.76.54.52.5-100200300400500600650700750800850900950100010501100API 5LX4220202020API 5LX4621212121API 5LX5222222222API 5LX5623.723.723.723.7100200300400500600650700750800850900950100010501100A 516 Gr. 65A 671CC6521.721.320.72018.917.31716.813.911.496.54.52.5-A 515 Gr. 65A 671C86521.721.320.72018.917.31716.813.911.496.54.52.51.61A 515 Gr. 65A 672B6521.721.320.72018.917.31716.813.911.496.54.52.51.61A 516 Gr. 65A 672C6521.721.320.72018.917.31716.813.911.496.54.52.51.61100200300400500600650700750800850900950100010501100A 516 GR. 70A 671CC7023.122.521.720.548.718.418.314.8129.36.54.52.5-A 515 GR. 70A 671CB7023.122.521.720.548.718.418.314.8129.36.54.52.51.61A 515 GR. 70A 672B7023.122.521.720.548.718.418.314.8129.36.54.52.51.61A 516 GR. 70A 672C7023.122.521.720.548.718.418.314.8129.36.54.52.51.61A106C23.323.323.322.921.619.719.419.214.812-API 5LX6025252525API 5LX6525.725.725.725.7API 5LX7027.327.327.327.3API 5LX8030303030

6.CS_Imp123456789101112131415161723Pipe Thickness [mm], according ASME B36.10M45ASME B36.10M SCHEDULE / IDENTIFICATIONApplicationDn =10in6Sizedext5102030406080100120140160STDXSXXS(with input validation)SCH =XXS-71/221.31.652.11-2.412.77-3.73-0-4.782.773.737.47di =Pipe_Imp_CS_Dint_dn_schmm83/426.71.652.11-2.412.87-3.91-0-5.562.873.917.82de =Pipe_Imp_CS_Dext_dnmm9133.41.652.77-2.93.38-4.55-0-6.353.384.559.09s =Pipe_Imp_CS_Thickness_dn_schmm101 1/442.21.652.772.973.564.856.353.564.859.7111 1/248.31.652.77-3.183.68-5.08-0-7.143.685.0810.1512260.31.652.77-3.183.91-5.54-0-8.743.915.5411.07ApplicationDn =16in132 1/2732.113.054.785.167.019.535.167.0114.0214388.92.113.05-4.785.49-7.62-0-11.135.497.6215.24(without input validation)SCH =81153 1/2101.62.113.054.785.748.085.748.08164114.32.113.05-4.786.02-8.56-11.13-13.496.028.5617.12di =Pipe_Imp_CS_Dint_dn_schN/Amm175141.32.773.4--6.55-9.53-12.7-15.886.559.5319.05de =Pipe_Imp_CS_Dext_dn559mm186168.32.773.4--7.11-10.97-14.27-18.267.1110.9721.95s =Pipe_Imp_CS_Thickness_dn_schN/Amm198219.12.773.766.357.048.1810.3112.715.0918.2620.6223.018.1812.722.23The shedule entered is wrong20102733.44.196.357.89.2712.715.0918.2621.4425.428.589.2712.725.42112323.83.964.576.358.3810.3114.2717.4821.4425.428.5833.329.5312.725.42214355.63.966.357.929.5311.1315.0919.0523.8327.7931.7535.719.5312.7-2316406.44.196.357.929.5312.716.6621.4426.1930.9636.5340.499.5312.7-24184574.196.357.9211.1314.2719.0523.8329.3634.9339.6745.249.5312.7-25205084.786.359.5312.715.0920.6226.1932.5438.144.4550.019.5312.7-26225594.786.359.5312.7-22.2328.5834.9341.2847.6353.989.5312.7-27246105.546.359.5314.2717.4824.6130.9638.8946.0252.3759.549.5312.7-2826660-7.9212.715.88-------9.5312.7-2928711-7.9212.7--------9.5312.7-30307626.357.9212.715.88-------9.5312.7-3132813-7.9212.715.8817.48------9.5312.7-3234864-7.9212.715.8817.48------9.5312.7-3336914-7.9212.715.8819.05------9.5312.7-3438965-----------9.5312.7-35401016-----------9.5312.7-36421067-----------9.5312.7-441118-----------9.5312.7-461168-----------9.5312.7-39481219-----------9.5312.7-Carbon steel pipesdnSc -in1/253/4101201 1/2302403604805100612081401016012STD14XS16XXSCarbon steel pipes.18dn: 1/2,3/4,1,1 1/2,2,3,4,5,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48. Sch:5,10,20,30,40,60,80,100,120,140,160,STD,XS,XXS202224262830323436384042444648

5.- Table C-1 (SI) ASME B31.1Table C-1, ASME B31.1 - 2001. Moduli of elasticity for ferrous material "E" [GPa]MetalTemperature (oC)MetalTemperature (oC)123456789101112131415161718191-752050100150200250300350400450500550600650700750800-200-129-7321931492042603163714274825385936491234567891011121314151617181934567891Carbon steel C 0.3%31.230.63029.328.628.127.527.126.525.32422.220.217.915.43Carbon-moly steels206201199196193189187183177170160149135121106000Carbon-moly steels31.130.529.929.228.52827.42726.425.323.922.220.117.815.34Nickel steels Ni 2% - 9%196192190187184180178174169162153141128115101000Nickel steels Ni 2% - 9%29.629.128.527.827.126.726.125.725.224.6235Cr-Mo steels Cr 1/2% - 2%2102052042011971931901861811761701601481330000Cr-Mo steels Cr 1/2% - 2%31.63130.429.72928.527.927.526.926.325.524.823.92321.86Cr-Mo steels Cr 2 1/4% - 3%2162112102072031991951911871821751651531370000Cr-Mo steels Cr 2 1/4% - 3%32.63231.430.629.829.428.828.327.727.126.325.624.623.722.57Cr-Mo steels Cr 5% - 9%2192132122092052011971931891851811761711641561471380Cr-Mo steels Cr 5% - 9%32.932.331.730.930.129.72928.62827.326.124.722.720.418.28Austenitic steels (TP304, 310, 316, 321, 347)201195194192188184180176172168164160156152146140134127Austenitic steels (TP304, 310, 316, 321, 347)30.329.729.128.327.62726.525.825.324.824.123.522.822.121.2

8.- Table C-1 ASME B31.3Tabla C-1Coeficiente de expansin trmicaASME B31.3-2006, Table C-1Table C-1Thermal expansion coefficient " l " [m/(m*K)] for metals1Temperatura C1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980Material-268-254-240-226-212-198-184-171-157-143-129-115-101-87-73-59-46-32-18-41024385266799310712113514916317719120421823224626027428830231632934335737138539941342744145446848249651052453855256657959360762163564966367769170471873274676077478880281612345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879801Carbon SteelCarbon-Moly-Low-Chrome(Through3Cr-Mo)-----9.0E-069.1E-069.2E-069.3E-069.4E-069.5E-069.7E-069.9E-061.00E-051.01E-051.03E-051.05E-051.07E-051.05E-051.07E-051.05E-051.09E-051.15E-051.15E-051.14E-051.14E-051.14E-051.171E-051.167E-051.178E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.3E-051.263E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-05----25Cr-MoThrough9Cr-Mo-----8.4E-068.5E-068.6E-068.7E-068.8E-069.0E-069.2E-069.3E-069.5E-069.5E-069.7E-069.9E-069.9E-069.9E-061.0E-059.8E-061.0E-051.1E-051.1E-051.1E-051.1E-051.1E-051.094E-051.108E-051.112E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.4E-051.4E-051.4E-051.4E-05----3AusteniticStainlessSteels18Cr-8Ni-----1.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.6E-051.6E-051.5E-051.5E-051.5E-051.6E-051.6E-051.7E-051.7E-051.7E-051.7E-051.7E-051.694E-051.692E-051.698E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-05412Cr,17Cr,27Cr-----7.7E-067.8E-067.8E-067.9E-068.0E-068.1E-068.3E-068.5E-068.5E-068.6E-068.8E-069.0E-069.0E-069.0E-069.0E-069.0E-069.4E-061.0E-059.8E-069.9E-069.9E-069.9E-069.968E-061.008E-051.010E-051.0E-051.0E-051.0E-051.0E-051.0E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-05----525Cr-20Ni----------------------1.6E-051.6E-051.6E-051.6E-051.6E-051.587E-051.592E-051.595E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-05----6UNSN04400Monel67Ni-30Cu9.9E-061.0E-051.0E-051.1E-051.1E-051.1E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.5E-051.5E-051.4E-051.4E-051.4E-051.4E-051.4E-051.413E-051.425E-051.434E-051.4E-051.4E-051.4E-051.4E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-05----73.5Ni8.5E-068.8E-069.0E-069.2E-069.5E-069.8E-069.9E-061.0E-051.0E-051.0E-051.0E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.2E-051.1E-051.1E-051.2E-051.2E-051.171E-051.183E-051.193E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.4E-051.4E-051.4E-05--------------------8CopperandCopperAlloys1.1E-051.2E-051.2E-051.3E-051.4E-051.4E-051.4E-051.5E-051.5E-051.5E-051.5E-051.5E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.732E-051.742E-051.741E-051.7E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.7E-05------------------------------------9Aluminum-----1.8E-051.8E-051.8E-051.9E-051.9E-051.9E-051.9E-052.0E-052.0E-052.0E-052.0E-052.1E-052.1E-052.1E-052.1E-052.1E-052.2E-052.3E-052.3E-052.3E-052.3E-052.3E-052.332E-052.358E-052.371E-052.4E-052.4E-052.4E-052.4E-052.5E-052.5E-052.5E-052.5E-052.5E-052.5E-052.5E-052.5E-052.6E-05------------------------------------10GrayCastIron----------------------1.1E-051.0E-051.0E-051.0E-051.0E-051.045E-051.058E-051.061E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-05--------------------11Bronze-----1.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.6E-051.6E-051.6E-051.6E-051.6E-051.7E-052.0E-051.7E-051.6E-051.7E-051.7E-051.8E-051.8E-051.8E-051.8E-051.8E-051.800E-051.808E-051.815E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-052.0E-052.0E-052.0E-05----------------12Brass-----1.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.5E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.8E-051.7E-051.8E-051.8E-051.8E-051.771E-051.783E-051.793E-051.8E-051.8E-051.8E-051.8E-051.8E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-051.9E-052.0E-052.0E-052.0E-052.0E-052.0E-052.0E-052.0E-052.0E-052.0E-052.1E-052.1E-052.1E-052.1E-052.1E-052.1E-052.1E-052.1E-052.1E-05----------------1370Cu-30Ni-----1.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.3E-051.3E-051.3E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.5E-051.6E-051.5E-051.5E-051.5E-051.5E-051.539E-051.550E-051.559E-051.6E-051.6E-051.6E-051.6E-051.6E-05--------------------------------------------14UNSN08XXXSeriesNi-Fe-Cr----------------------1.4E-051.4E-051.4E-051.4E-051.4E-051.442E-051.467E-051.485E-051.5E-051.5E-051.5E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.6E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.7E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-051.8E-0515UNSN06XXXSeriesNi-Cr-Fe----------------------1.3E-051.3E-051.3E-051.3E-051.3E-051.335E-051.342E-051.354E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.4E-051.5E-051.5E-05----------------------------16DuctileIron----------8.4E-068.6E-068.8E-068.9E-069.2E-069.4E-069.6E-069.8E-069.9E-067.7E-061.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.1E-051.094E-051.108E-051.120E-051.1E-051.1E-051.1E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.2E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-051.3E-05---------------------450-425-400-375-350-325-300-275-250-225-200-175-150-125-100-75-50-250255075100125150175200225250275300325350375400425450475500525550575600625650675700725750775800825850875900925950975100010251050107511001125115011751200122512501275130013251350137514001425145014751500La tabla C-1 de la ASME B31.3 entrega la expansin trmica total, para el metal especificado, entre la temperatura de 70F y la temperatura seleccionada,en pulgadas por cada 100 ft.Temperatura de referenciatref =500FTemperatura de referenciatref =70F260.0C21.1C-17.7777777778tref =70Ftref =70Ftref =70Ft =225Ft =250Ft =275FDt =155FDt =180FDt =205FDt =86.1111111111CDt =100CDt =113.8888888889CCSCSCSDL100 ft =1.21in /(100 ft)DL100 ft =1.4in /(100 ft)DL100 ft =1.61in /(100 ft)DL100 ft =0.1008333333ft / 100 ftDL100 ft =0.1166666667ft / 100 ftDL100 ft =0.1341666667ft / 100 ftDL =0.0010083333ft/ftDL =0.0011666667ft/ftDL =0.0013416667ft/ftDL =0.0010083333m/mDL =0.0011666667m/mDL =0.0013416667m/ml =DL / Dtl =DL / Dtl =DL / DtDL =0.0010083333m/mDL =0.0011666667m/mDL =0.0013416667m/mDt =86.1111111111CDt =100CDt =113.8888888889Cl =1.171E-05m/(m*K)l =1.167E-05m/(m*K)l =1.178E-05m/(m*K)

Documents

Stress Young Modulus and Thermal Expansion Coefficients of Steels