张拉计算公式

钢束编号N1N2N3N4张拉张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg钢束截面面积钢束类型控制应力2力Pj(KN)长度L(m)孔数Ay（m2）θ(rad)P(kN)（N/mm）kμ（Mpa）Φ15.20Φ15.20Φ15.20Φ15.20ssss延伸量(cm)51.5755.2560.1924.46延伸量±6%范围48.5-54.751.9-58.656.6-63.823.0-25.9备注15151550.00210.00210.00210.000713951395139513952929.52929.52929.5976.542.45744.48446.42417.9590.00150.00150.00150.00150.150.150.150.151.46621.13430.52370.13972550.7202608.3842722.780953.487200000200000200000200000单端张拉D3-D6预应力理论延伸量计算

钢束编号N1N2N3N4张拉张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg钢束截面面积钢束类型控制应力力Pj(KN)长度L(m)孔数Ay（m2）θ(rad)P(kN)（N/mm2）kμ（Mpa）Φ15.20Φs15.20Φ15.20Φ15.20sss延伸量(cm)50.9054.5759.4824.21延伸量±6%范围47.8-54.051.3-57.855.9-63.022.8-25.7备注15151550.00210.00210.00210.000713951395139513952929.52929.52929.5976.541.88743.91445.85417.7690.00150.00150.00150.00150.150.150.150.151.46621.13430.52370.13972551.7592609.4552723.915953.622200000200000200000200000单端张拉D1-D3预应力理论延伸量计算

钢束编号张拉张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg钢束截面面积钢束类型控制应力2力Pj(KN)长度L(m)孔数Ay（m2）θ(rad)P(kN)（N/mm）kμ（Mpa）延伸量(cm)延伸量±6%范围备注计算：复核： 监理：

N1N2N3N4N4Φ15.20Φs15.20Φ15.20Φs15.20Φs15.20ss151515550.00210.00210.00210.00070.0007139513951395139513952929.52929.52929.5976.5976.531.52333.50835.4721.25419.2630.00150.00150.00150.00150.00150.150.150.150.150.150.96000.78530.52370.10300.10302666.3582696.5682744.717953.751955.16519500019500019500019500019500041.0544.1347.5529.7026.9638.6-43.541.5-46.844.7-50.427.9-31.525.3-28.6单端张拉单端张拉C1-C3预应力理论延伸量计算

钢束编号N1N2N3N4N4张拉张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg钢束截面面积钢束类型控制应力2力Pj(KN)长度L(m)孔数Ay（m2）θ(rad)P(kN)（N/mm）kμ（Mpa）Φs15.20Φ15.20Φs15.20Φ15.20Φs15.20ss延伸量(cm)41.6144.7048.1230.0227.25延伸量±6%范围39.1-44.142.0-47.445.2-51.028.2-31.825.6-28.9备注151515550.00210.00210.00210.00070.0007139513951395139513952929.52929.52929.5976.5976.531.96333.94835.9121.48419.4730.00150.00150.00150.00150.00150.150.150.150.150.150.96000.78530.52370.10300.10302665.5072695.7032743.831953.5855.016195000195000195000195000195000单端张拉单端张拉XY7-XY10预应力理论延伸量计算

钢束编号N1张拉张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg钢束截面面积钢束类型控制应力力Pj(KN)长度L(m)孔数Ay（m2）θ(rad)P(kN)（N/mm2）kμ（Mpa）Φ15.20s延伸量(cm)53.81延伸量±6%范围50.6-57.0备注120.0016813952343.3.0060.00150.151.04782102.013200000计算：复核： 监理：

N2N3N4N5Φ15.20Φs15.20Φ15.20Φs15.20ss1212550.001680.001680.00070.000713951395139513952343.62343.6976.5976.544.69546.22918.8722.4740.00150.00150.00150.00150.150.150.150.151.17021.16920.15700.17452081.0132078.866951.614947.83620000020000020000020000055.3657.2025.6530.4352.0-58.753.8-60.624.1-27.228.6-32.3单端张拉XZ7-XZ10预应力理论延伸量计算

钢束编号N1N2N3N4N5张拉张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg钢束截面面积钢束类型控制应力2力Pj(KN)长度L(m)孔数Ay（m2）θ(rad)P(kN)（N/mm）kμ（Mpa）Φ15.20Φs15.20Φ15.20Φs15.20Φ15.20sss延伸量(cm)54.1555.7157.5525.7830.56延伸量±6%范围50.9-57.452.4-59.054.1-61.024.2-27.328.7-32.4备注121212550.001680.001680.001680.00070.0007139513951395139513952343.62343.62343.6976.5976.543.29144.9846.51418.96522.5690.00150.00150.00150.00150.00150.150.150.150.150.151.04781.17021.16920.15700.17452101.5802080.5862078.440951.547947.769200000200000200000200000200000单端张拉XZ1-XZ4，XY1-XY4预应力理论延伸量计算

张拉控制张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg钢束截面面积钢束编号钢束类型应力2力Pj(KN)长度L(m)孔数Ay（m2）θ(rad)P(kN)（N/mm）kμ（Mpa）延伸量(cm)延伸量±6%范围备注纵向部分：N1Φ15.20s130.0018213952538.946.2770.00150.151.39612215.66319500057.7854.3-61.2计算：复核： 监理：

N2N3N4N5Φ15.20Φs15.20Φ15.20Φs15.20ss1313570.001820.001820.00070.0009813951395139513952538.92538.9976.51367.148.2295119.76123.7950.00150.00150.00150.00150.150.150.150.151.39611.57080.13950.13962212.5732180.881952.2221329.10919500019500019500019500060.1462.6827.5733.1056.5-63.758.9-66.425.9-29.231.1-35.1单端张拉端横梁部分：N1N1\"N2Φs15.20Φ15.20Φ15.20ss1212120.001680.001680.001681395139513952343.62343.62343..3814.3734.3660.00150.00150.00150.150.150.150.19850.19850.31032301.5212301.5342282.4711950001950001950006.166.146.085.85.85.7---6.56.56.4中横梁部分：N1N2Φ15.20Φs15.20s12120.001680.00168139513952343.62343..3814.3660.00150.00150.150.150.19850.31032301.5212282.4711950001950006.166.085.85.7--6.56.4XZ4-XZ7预应力理论延伸量计算

张拉控制张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg钢束截面面积钢束编号钢束类型应力2力Pj(KN)长度L(m)孔数Ay（m2）θ(rad)P(kN)（N/mm）kμ（Mpa）延伸量(cm)延伸量±6%范围备注纵向部分：N1Φ15.20s130.0018213952538.946.3370.00150.151.39612215.56819500057.8554.4-61.3计算：复核： 监理：

N2N3N4N5N6Φ15.20Φs15.20Φ15.20Φs15.20Φs15.20ss13135750.001820.001820.00070.000980.0007139513951395139513952538.92538.9976.51367.1976.548.27651.04719.76123.79519.8210.00150.00150.00150.00150.00150.150.150.150.150.151.39611.57080.13950.13960.13952212.4982180.8052.2221329.109952.17919500019500019500019500019500060.1962.7427.5733.1027.6556.6-63.859.0-66.525.9-29.231.1-35.126.0-29.3单端张拉单端张拉端横梁部分：N1N1\"N2Φ15.20Φ15.20Φs15.20ss1212120.001680.001680.001681395139513952343.62343.62343..3814.3734.3660.00150.00150.00150.150.150.150.19850.19850.31032301.5212301.5342282.4711950001950001950006.166.146.085.85.85.7---6.56.56.4中横梁部分：N1N2Φs15.20Φs15.20121215150.001680.001680.00210.002113951395139513952343.62343.62929.52929.54.3814.36.3934.4280.00150.00150.00150.00150.150.150.150.150.19850.31030.15840.22542301.5212282.4712885.4972871.0441950001950001950001950006.166.086.196.215.85.75.85.8----6.56.46.66.6N1(XZ5)Φs15.20N2(XZ5)Φs15.20XY4-XY7预应力理论延伸量计算

钢束截面面积钢束编号钢束类型孔数Ay（m2）张拉控制张拉控制1/2工作预应力损耗系数1/2总转角平均张拉力弹性模量Eg应力2力Pj(KN)长度L(m)θ(rad)P(kN)（N/mm）kμ（Mpa）延伸量(cm)延伸量±6%范围备注纵向部分：计算：复核： 监理：

N1N2N3N4N5N6Φ15.20Φs15.20Φ15.20Φs15.20Φs15.20Φs15.20ss1313135750.001820.001820.001820.00070.000980.00071395139513951395139513952538.92538.92538.9976.51367.1976.546.21748.15650.92719.76123.79519.2010.00150.00150.00150.00150.00150.00150.150.150.150.150.150.151.39611.39611.57080.13950.13960.13952215.7582212.6882180.994952.2221329.109952.61919500019500019500019500019500019500057.7160.0562.5927.5733.1026.8054.2-61.256.4-63.758.8-66.325.9-29.231.1-35.125.2-28.4单端张拉单端张拉端横梁部分：N1N1\"N2Φ15.20Φs15.20Φs15.20s1212120.001680.001680.001681395139513952343.62343.62343..3814.3734.3660.00150.00150.00150.150.150.150.19850.19850.31032301.5212301.5342282.4711950001950001950006.166.146.085.85.85.7---6.56.56.4中横梁部分：N1N2Φs15.20Φs15.20121215150.001680.001680.00210.002113951395139513952343.62343.62929.52929.54.3814.36.3934.4280.00150.00150.00150.00150.150.150.150.150.19850.31030.15840.22542301.5212282.4712885.4972871.0441950001950001950001950006.166.086.196.215.85.75.85.8----6.56.46.66.6N1(XY5)Φs15.20N2(XY5)Φs15.20以下为分段计算

计算：复核： 监理：

XY7-XY10预应力理论延伸量计算

钢束编号钢束分段编号N1-1N1-2N1-3N1-4N1-5N1N1-6N1-7N1-8N1-9N1-10N1-11合计N2-1N2-2N2-3N2-4N2-5N2N2-6N2-7N2-8N2-9N2-10N2-11合计12121212121212121212120.001680.001680.001680.001680.001680.001680.001680.001680.001680.001680.00168139513951395139513951395139513951395139513952343.62343.62343.62343.62343.62343.62343.62343.62343.62343.62343.6钢束孔数1212121212121212121212截面面积2Ay（m）0.001680.001680.001680.001680.001680.001680.001680.001680.001680.001680.00168张拉控制应力（Mpa）13951395139513951395139513951395139513951395张拉控制力Pj(KN)2343.62343.62343.62343.62343.62343.62343.62343.62343.62343.62343.6工作长度L(m)1.1913.49813.0321.7454.9351.0473.951.0474.7081.0476.803.0061.1332.83316.4361.7454.9351.0471.951.0475.2841.0477.23844.6950.00150.00150.00150.00150.00150.00150.00150.00150.00150.00150.00150.150.150.150.150.150.150.150.150.150.150.15预应力损耗系数k0.00150.00150.00150.00150.00150.00150.00150.00150.00150.00150.0015μ0.150.150.150.150.150.150.150.150.150.150.15转角θ(rad)0.00000.34980.00000.17450.00000.17450.00000.17450.00000.17450.00001.04780.00000.47220.00000.17450.00000.17450.00000.17450.00000.17450.00001.17022341.6102257.7882314.9462310.1822334.9472311.3862340.1762311.3862334.3372311.3862330.924平均张拉力P(kN)2341.5082277.2502320.8422310.1822334.9472311.3862336.6712311.3862335.3442311.3862331.678弹性模量Eg（N/mm）2延伸量(cm)0.832.379.001.203.430.722.750.723.270.724.7259.47延伸量±6%范围备注20000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000055.9-63.00.791.9011.321.203.430.721.360.723.670.725.0261.7258.0-65.4计算：复核： 监理：

XY7-XY10预应力理论延伸量计算

钢束编号钢束分段编号N3-1N3-2N3-3N3-4N3N3-5N3-6N3-7N3-8N3-9N3-10合计N4-1N4-2N4N4-3N4-4N4-5合计N5-1N5N5-2N5-3合计5550.00070.00070.0007139513951395976.5976.5976.5555550.00070.00070.00070.00070.000713951395139513951395976.5976.5976.5976.5976.5钢束孔数12121212121212121212截面面积2Ay（m）0.001680.001680.001680.001680.001680.001680.001680.001680.001680.00168张拉控制应力（Mpa）1395139513951395139513951395139513951395张拉控制力Pj(KN)2343.62343.62343.62343.62343.62343.62343.62343.62343.62343.6工作长度L(m)1.3372.82719.6231.7453.4331.7451.7453.4331.7458.596.2290.8450.83732.941.3961.12237.141.1221.39619.95622.4740.00150.00150.00150.150.150.150.00150.00150.00150.00150.00150.150.150.150.150.15预应力损耗系数k0.00150.00150.00150.00150.00150.00150.00150.00150.00150.0015μ0.150.150.150.150.150.150.150.150.150.15转角θ(rad)0.00000.47120.00000.17450.00000.17450.17450.00000.17450.00001.16920.00000.13950.00000.17450.00000.31400.00000.17450.00000.1745975.679962.827962.029975.881965.750952.7662.827975.679平均张拉力P(kN)2341.2522257.9662309.4452310.1822337.5762310.1822310.1822337.5762310.1822328.556弹性模量Eg（N/mm）2延伸量(cm)0.931.9013.491.202.391.201.202.391.205.9663.70延伸量±6%范围备注20000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000020000059.9-67.50.590.5822.420.960.7825.330.780.9613.7130.9129.1-32.823.8-26.8单端张拉计算：复核： 监理：