钢材理论质量计算公式.doc

钢材理论质量计算公式表1 钢材理论质量计算公式名称单位计算公式计算举例圆钢盘条kgmw=0.006165d式中，d为直径(mm)直径80mm的圆钢，求每米质量每米质量=0.00616580kg=39.46kg螺纹钢kgmW=0.00617d式中，d为断面直径(mm)断面直径为12mm的螺纹钢，求每米质量每米质量=0.00617x12kg=0.89kg方钢kgmW=0.00785d式中，d为边宽(MM)边宽30mm的方钢，求每米质量每米质量=O0078530kg=7.07kg扁钢kgmW=0.00785db式中，d为边宽(mm)b为厚(mm)边宽40mm、厚5mm的扁钢，求每米质量每米质量=O00785405kg=1.57kg六角钢kgmW =0.006798d式中，d为对边距离(mm)对边距离50mm的六角钢，求每米质量每米质量=0.00679850kg=17kg八角钢kgmW=0.006798d式中，d为对边距离(mm)对边距离80mm的八角钢，求每米质量每米质量：0.0065 x 80kg=41.60kg等边角钢kgmW=0.00785d(2b-d)+0.215(R一2r)式中，b为边宽，d为边厚，R 为内弧_半径，r为端弧半径求4mmx20mm等边角钢的每米质量GB9787中查出4mm20mm等边角钢的R为3.5，r为1.2每米质量=0.007854(2204)+0.215(3.5一21.2)kg=1.15kg不等边角钢kgmw=0.00785d(B+6一d)+0.215(R一2 r)式中，B为长边宽，b为短边, 宽，d为边厚，R为内弧半径,r为端弧半径求30rnm20mm x 4mm不等边角钢每米质量。从GB9788中查出30x 20x 4不等边角钢的R为3.5，r为1.2每米质量=0.007854(30+204)+0.215(3.521.2)kg =1.46kg槽钢kgmw=0.00785hd+2t(b一d)+0.349(R一r2)式中，h为高，b为腿长，d为腰厚，t为平均腿厚，R为内弧半径，r为端弧半径求80mm43mm5mm的槽钢每米质量。从GB707中查出该槽钢t为8，R为8，r为4每米质量=0.00785805十28(435)+0.349(8-4)kg=8.04kg工字钢kgmw=0.00785hd+2t(b一d)+0.8584(R一r)式中，h为高，b为腿长，d为腰厚，t为平均腿厚，R为内弧半径，r为端弧半径求250rnm118mm10mm的工字钢每米质量。从GB706中查出该工字钢t为13。R为10，r为5每米质量=0.0078525010+213 x(118一10)+0.8584(105)kg=42.2kg钢板kgmw=7.856式中，6为厚厚度6mm的钢板，求每平方米的质量每平方米质量=7.856kg=47.1kg钢管(包括无缝钢管及焊接钢管)kgmw=0.02466S(DS)式中，D为外径，s为壁厚外径60mm，壁厚4mm的无缝钢管，求每米质量每米质量=0.024664(60-4)kg：5.52kg注：用公式计算的理论质量与实际质量有一定的出入，误差一般约为O2O7之间，只能作为估算时的参考。热轧等边角钢（GBT9787-1988） (1)尺寸规格见表1。(2)允许偏差见表2。表1 热轧等边角钢的尺寸规格角钢号数尺 寸mm截面面积/mm理论质量(kgm)外表面积(m2m)参考数值X-XXo-XoYo-YoX1-XlzocmbdrIx/cm4ixcmWxcm3ixo/cmixoCmWxo/cm31yo/cm4iyocmWyocm3Ix1/cm4220343.51.1321.4590.8891.1450.0780.077O.40O.500.59O.580.29O.360.63O.780.750.730.450.550.17O.22O.390.38O.200.24O.811.09O.600.642.525341.4321.8591.1241.4590.098O.0970.821.030.76O.740.46O.591.291.62O.95O.930.73O.92O.340.430.49O.48O.330.401.572.110.73O.763.030344.51.7492.2761.3731.786O.1170.1171.461.84O.9l0.90O.680.872.3l2.921.151.131.091.37O.610.770.59O.58O.51O.622.7l3.630.85O.893.6363452.1092.7563.3821.6562.1632.654O.14l0.141O.1412.583.293.951.1l1.091.08O.991.281.564.095.226.241.391.381.361.6l2.052.451.071.371.650.7l0.70O.70O.76O.931.094.686.257.841.001.041.0744034552.359 3.0863.7911.8522.4222.976O.1570.157O.1563.594.605.531.231.221.211.231.601.965.697.298.761.551.541.522.012.583.101.491.912.30O.790.79O.78O.961.191.396.4l8.5610.741.091.131.174.545345652.6593.4864.2925.0762.0882.7363.3693.9850.177O.1770.176O.1765.176.658.049.331.401.381.371.361.582.052.512.958.2010.5612.7414.761.761.741.721.702.583.324.004.642.142.753.333.890.890.890.880.881.241.541.8l2.069.1212.1815.2518.361.221.261.301.3355034565.52.97l3.8974.8035.6882.3323.0593.7704.465O.197O.197O.1960.1967.189.2611.2l13.051.551.541.531.521.962.563.133.6811.3714.7017.7920.681.961.941.921.913.224.165.035.852.983.824.645.421.000.99O.930.931.571.962.3l2.6312.5016.6920.9025.141.341.381.421.465.656345863.3434.3905.4158.3672.6243.4464.2516.5680.22l0.220O.220O.21910.1913.1816.0223.631.751.731.721.682.483.243.976.0316.1420.9225.4237.372.202.182.172.114.085.286.429.444.245.466.619.891.131.111.101.092.022.522.984.1617.5623.4329.3347.241.481.531.571.686.3634568lO74.9786.1437.2889.51511.6573.9074.8225.7217.46915l0.248O.248O.247O.247O.24619.0323.1727.1234.4641.091.961.941.931.901.884.135.086.oo7.759.3930.1736.7743.0354.5664.852.462.452.432.402.366.788.259.6612.2514.567.899.5711.2014.3317.331.261.251.241.231.223.293.904.465.476.3633.3541.7350.1467.1l84.311.701.741.781.851.937704567885.5706.8758.1609.42410.6674.3725.3976.4067.3988.3730.275O.275O.275O.2750.27426.3932.2137.7743.0948.172.182.162.152.142.125.146.327.488.599.6841.8051.0859.9368.3576.372.762.732.7l2.692.688.4410.3212.1l13.8115.43lO.9913.3415.6l17.8219.981.401.391.381.381.374.174.955.676.346.9845.7457.2168.7380.2991.921.861.911.951.992.03(7.5)7556781097.4128.79710.16011.50314.1265.8186.9057.9769.03011.0890.295O.294O.294O.2940.29339.9746.9553.5759.9671.982.332.312.302.282.267.328.649.9311.2013.6463.3074.3884.9695.07113.922.922.902.892.882.8411.9414.0216.0217.9321.4816.6319.5122.1824.8630.051.501.491.481.471.465.776.677.448.199.5670.5684.5598.71112.97141.712.042.072.112.152.228805678107.9129.39710.8612.30315.1266.2117.3768.5259.65811.874O.315O.3140.3140.3140.31348.7957.3565.5873.4988.432.482.472.462.442.428.349.8711.3712.8315.6477.3390.98104.07116.6140.093.133.113.103.083.0413.6716.0818.4020.6l24.7620.2523.7227.0930.3936.771.601.591.581.571.566.667.658.589.4611.0885.36102.50119.70136.97171.742.152.192.232.272.35990678lO1210lO.63712.30113.94417.16720.3068.3509.65610.94613.47615.94O.354O.354O.3530.353O.352B2.7794.83106.47128.58149.222.792.782.762.742.7112.6114.5416.4220.0723.57131.26150.47168.97203.9236.213.513.503.483.453.4120.6323.6426.5532.0437.1234.2839.1843.9753.2662.221.801.781.781.761.759.9511.1912.3514.5216.49145.87170.30194.80244.07293.762.442.482.522.592.671O100678101214161211.93213.79615.63819.26122.8026.25629.6279.36610.83012.27615.12017.89820.61123.257O.393O.3930.3930.392O.391O.3910.390114.95131.86148.24179.51208.90236.53262.533.103.093.083.053.033.002.9815.6818.1020.4725.0629.4833.7337.82181.98208.97235.07284.68330.95374.06414.163.903.893.883.843.813.773.7425.7429.5533.2440.2646.8052.9058.5747.9254.7461.4174.3586.8499.00110.892.001.991.981.961.951.941.9412.6914.2615.7518.5421.0823.4425.63200.07233.54267.09334.48402.34470.75539.802.672.712.762.842.912.993.06111107810121415.19617.23821.26l25.20029.05611.92813.53216.69019.78222.8090.4330.4330.4320.43l0.43l177.16199.46242.19282.55320.713.413.403.383.353.3222.0524.9530.6036.0541.31280.94316.49384.39448.17508.014.304.284.254.224.1836.1240.6949.4257.6265.3173.3882.4299.98116.93133.402.202.192.172.152.1417.5119.3922.9126.1529.14310.64355.20444.65534.60625.162.963.013.093.163.2412.512581012141419.750 24.37328.91233.36715.504 19.13322.69626.193O.492O.49l0.491O.490297.03 361.67423.16481.653.883.853.833.8032.52 39.9741.1754.16470.89 573.89671.44763.734.884.854.824.7853.28 64.9375.9686.41123.16149.46174.88199.572.502.482.462.4525.8630.6235.0339.13521.01651.93783.42915.613.373.453.533.61141401012141627.37332.51237.56742.53921.48825.52229.49033.3930.5510.551O.550O.549514.65603.68688.81770.244.344.314.284.2650.5859.8068.7577.46817.27958.791093.56122l.815.465.435.405.3682.5696.85110.47123.42212.04248.57284.06318.672.782.762.752.7439.2045.0250.4555.55915.111099.281284.221470.073.823.903.984.0616160lO1214161631.50237.44l43.29649.06724.72929.39133.98738.5180.630O.630O.6290.629779.53916.581048.361175.084.984.954.924.8966.7078.9890.95102.631237.301455.681665.021865.576.276.246.206.17109.36128.67147.17164.89321.76377.49431.70484.593.203.183.163.1452.7660.7468.2475.311365.331639.571914.682190.824.314.394.474.55181801214161842.24148.89655.46761.95533.15938.38343.54248.6340.7100.7090.7090.7091321.351514.481700.991875.125.595.565.545.50100.82116.25131.13145.642100.102407.422703.372988.247.057.026.986.94165.00189.14212.40234.78542.61621.53698.60762.0l3.583.583.553.5178.4188.3897.83105.142332.802723.483115.293502.434.894.975.055.132020014161820241854.64262.01369.30176.50590.66142.89448.68054.40160.05671.1680.7880.788O.7870.787O.7852103.552366.152620.642867.303338.256.206.186.156.126.07144.70163.65182.22200.42236.173343.263760.894164.544554.555294.977.827.797.757.727.64236.40265.93294.48322.06374.41863.83971.411076.741180.041381.533.983.963.943.933.90111.82123.96135.52146.55166.553734.104270.394808.135347.516457.165.465.545.625.695.87注：截面图中的r1=1/3d及表中r表2 热轧等边角钢的允许偏差和长度角钢号数边宽bmm边厚dmm长度m角钢号数边宽bmm边厚dmm长度m25.66 .39O.8士1.20.4士O.6412412101416201.8土2.50.7士1.O419619热轧不等边角钢（GBT9788-1988） (1)尺寸规格见表 1。(2)允许偏差见表 2。表1 热轧不等边角钢的尺寸规格角钢号数尺 寸m截面面积/cm理论质量/(kg/m)外表面积/(m/m)参考数值x-xY-YX1X1Y1-Y1U-UBbdrIx/cm4ix/cmWx/cmIy/ cm4Iy/cmWy/cmIx1/ cm4Yo/ cmIyo/ cm4Xo/ cmIu/ cm4iu/ cmWu/ cm3tana2.51.62516343.51.1621.499O9121.176O080O079O700.88O780.770.43O55O22O270.44O430.190.241.562.09O860.90O43O59O420.460.14O17O340.34O160.200.3920.3813.2/23220341.4921.9391.1711.522O1020.1011.531.931.01100O72O93O46O57O55O540.30O393.274.371.081.120.821.12O49O530.28O350.43O420.25O32O3820.37442.540253441.8902.4671.4841.9360.127O1273.083.931.281.361.151.490.931.180.700.690.49O635.398.531.321.371.592.14O59O63O56O710.540.54O40O52O386O3814.52.845283452.1492.8061.6872.203O1430.1434.455.691.441.421.471.911.341.700.79O780.62O809.1012.131.471.512.233.00O640.68O801.02O610.600.51O660.383O38053.25032345.52.4313.1771.9082.4940.161O1606.248.021.601.591.842.392.022.58O910.900.821.0612.4916.651.601.653.314.450.73O771.201.53O70O69O680.870.4040.402 角钢号数尺 寸m截面面积/cm理论质量/(kg/m)外表面积/(m/m)参考数值x-xY-YX1X1Y1-Y1U-UBbdrIx/cm4ix/cmWx/cmIy/ cm4Iy/cmWy/cmIx1/ cm4Yo/ cmIyo/ cm4Xo/ cmIu/ cm4iu/ cmWu/ cm3tana5.63.6563634562.7433.5904.4152.1532.8183.466O181O180O1808.8811.4513.861.801.791.772.323.033.712.923.764.491.031.021.011.051.371.6517.5423.3929.251.781.821.874.706.337.94O800.850.881.732.232.670.790.790.78O871.131.360.4080.408O4046.346340456774.0584.9935.9086.8023.1853.9204.6385.3390.202O202O201O20116.4920.0223.3626.532.022.001.961.983.874.745.596.405.236.317.298.241.141.121.111.101.702.712.432.7833.3041.6349.9858.072.042.082.122.158.6310.8613.1215.470.92O950.991.033.123.764.344.97O88O870.86O861.401.711.992.290.398O396O3930.38974.5704545677.54.5475.6096.6477.6573.5704.4035.2186.011O2260.2250.2250.22523.1727.9532.5437.222.262.232.212.204.865.926.958.037.559.131O6212.011.291.281.261.252.172.653.123.5745.9257.1068.3579.992.242.282.322.3612.2615.3918.5821.841.021.061.091.134.405.406.357.16O98O98O980.971.772.192.592.940.4100.407O404O402(7.55)75505681O86.1257.2609.46711.5904.8085.6997.4319.098O2450.2450.244O24434.8641.1252.3962.712.392.382.352.33658.1210.5212.7912.6114.7018.5321.961.4.41.421.401.383.303.884.996.0470.0084.30112.50140.802.402.442.522.6021.0425.3734.2343.431.171.211.291.367.418.5410.8713.101.101.081.071.062.743.194.104.990.4350.4350.429O42385805056788.56.3757.5608.7249.8675.0055.93568487.745O255O255O255O25441.9649.4956.1662.832.562.562.542.527.789.2510.5811.9212.8214.9516.9618851421411391383.323.914.485.0385.21102.53119.33136.412.602.652.692.7321.0625.41298234.321.141.181.211.257.668.8510.1811.381.101.081.081.072.743.203.704.16O388O387O384O381角钢号数尺 寸m截面面积/cm理论质量/(kg/m)外表面积/(m/m)参考数值x-xY-YX1X1Y1-Y1U-UBbdrIx/cm4ix/cmWx/cmIy/ cm4Iy/cmWy/cmIx1/ cm4Yo/ cmIyo/ cm4Xo/ cmIu/ cm4iu/ cmWu/ cmtana106.310063678101O9.61711.11112.58415.4677.5508.7229.87812.1420.320O3200.3190.31999.06113.45127.37153.813.213.203.183.1514.6419.8819.0823.3230.9435.2639.3947.121.791.781.771.746.357.298.219.98199.71233.00266.32333.063.243.283.323.4050.5059.1467.8885.731.431.471.501.5818.4221.0023.5028.331.381.381.371.355.256.02 6.788.24O3940.3930.3910.38710810080678101O63712.30113.94417.1678.3509.65610.94613.4760.3540.354O353O353107.04122.73137.92166.873.173.163.143.1215.1917.5219.8124.2461.2470.0878.5894.652.402.392.372.3510.1611.7113.2116.12199.83233.20266.61333.632.953003.043.12102.68119.98137.37172.481.972.012.052.1331.6536.1740.5849.101.721.721.711.698.379.601O8013.12O627O626O6250.62211/710070678101O10.63712.30113.94417.1678.3509.65610.94613.4760.3540.354O353O353133.37153.00172.04208.393.543.533.513.4817.8520.6023.3028.5442.9249.0154.8765.882.012.001.981.967.909.0910.2512.48265.78310.07254.39443.133.533.573.623.7069.0880.8292.70116.831.571.611.651.7225.3628.9532.4539201.541.531.531.516.537.508.4510.29O4030.4020.4010.39712.58125807810121114.09615.98919.71223.35111.06612.55115.47418.330O403O400.4020.402227.98256.77312.04364.414.024.013.983.9526.8630.4137.3344.0174.4283.49100.67116.672.302.282.262.2412.0113.5616.5619.43454.99519.99650.09780.394.014.064.144.22120.32137.85173.40209.671.801.841.922.0043.8149.1559.4569.351.761.751.741.729.9211.1813.6416O10.4080.4070.404O400角钢号数尺 寸m截面面积/cm理论质量/(kg/m)外表面积/(m/m)参考数值x-xY-YX1X1Y1-Y1U-UBbdrIx/cm4ix/cmWx/cmIy/ cm4Iy/cmWy/cmIx1/ cm4Yo/ cmIyo/ cm4Xo/ cmIu/ cm4iu/ cmWu/ cm3tana1491409081012141218.03822.26126.40030.45614.16017.47520.72423.908O4530.452O4510.451365.64445.50521.59594.104.504.474.444.4238.4847.3155.8764.18120.69146.03169.79192.102.592.562.542.5117.3421.2224.9528.54730.53913.201096.091279.204.504.584.664.74197.79243.92296.89348.822.042.122.192.2770.8385.82100.21114.131.981.961.951.9414.3117.4820.5423.52O411O4090.4060.40316101601001O1214161325.31530.05434.70939.28119.87223.59227.24730.835O5120.5110.5100.510668.69784.91896.301003.045.145.115.085.0562.1373.4984.5695.33205.03239.06271.20301.602.852.822.802.7726.5631.2835.8340.241362.891635.561908.502181.795.245.325.405.48336.59405.94476.42548.222.282.362.432.5