一、计算系数
摩擦系数u=0.6698偏差系数k=0.0006
二、钢绞线分段长度x计算张拉管道标号阶段预张拉2N62N2a2N1b2N2c初张拉2N32N72N102N2d2N92N8N1a2N2d2N52N4终张拉2N2b2N102N72N62N32N1b2N2c2N2a三、伸长值计算1、预张拉伸长值计算2N6管道锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)钢绞线弹模E=195Gpa锚口、喇叭口摩阻=5.30%
端部直线段1913.243418.473174.773418.471804.021804.201913.243418.471804.201913.243174.773418.471804.201913.243418.471913.241804.201913.241804.023174.773418.473418.47平曲线段1085.300.000.000.002136.502138.401087.360.002139.672010.910.000.002137.921083.760.001087.362138.401085.302136.500.000.000.00直线段4282.260.000.000.00795.415920.269405.790.008480.705920.060.000.003357.181720.500.009405.795920.264282.26795.410.000.000.00竖曲线段2268.931047.201047.201047.202268.932268.932268.931047.202268.932268.931047.201047.202268.932268.931047.202268.932268.932268.932268.931047.201047.201047.20中间直线段6686.2711703.5111696.6211703.519231.574139.861595.6811703.511596.004139.8611696.6211703.516686.279231.5711703.511595.684139.866686.279231.5711696.6211703.5111703.51小计32472323383183732338324733254332542323383257932506318373233832509324363233832542325433247232473318373233832338930.00268.59端部直线段1913.240.00000.00110.9989880.7100MpaMpa平曲线段1085.300.13960.09420.9101879.6996起点应力=起点应力=直线段4282.260.00000.00260.9974800.6369880.71254.35竖曲线段2268.930.11340.07730.9256798.5824中间直线段6686.270.00000.00400.9960739.1423起点应力应力下
31.5米箱梁终张拉锚内伸长值计算
控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）2、初张拉伸长值计算
2N2c管道锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)879.6996880.20488.64930.00267.84端部直线段3418.470.00000.00210.9980880.7100878.9054879.807715.42930.00267.84端部直线段1804.020.00000.00110.9989880.7100879.7572880.23368.14800.6369840.16824.68MpaMpa平曲线段0.000.13960.09350.9107878.9054800.4352839.67030.00MpaMpa平曲线段2136.500.13960.09480.9096879.7572800.1845839.97099.20798.5824799.609717.56起点应力=起点应力=直线段0.000.00000.00001.0000800.4352800.4352800.43520.00起点应力=起点应力=直线段795.410.00000.00050.9995800.1845799.8027799.99363.26739.1423768.86248.95880.71253.64竖曲线段1047.200.11340.07660.9262800.4352741.4004770.91784.14880.71253.64竖曲线段2268.930.11340.07730.9256799.8027740.2718770.03728.96736.1830737.662625.292N2a管道中间直线段11703.510.00000.00700.9930741.4004736.2125738.806544.342N1b管道中间直线段9231.570.00000.00550.9945740.2718736.1828738.227334.95930.00267.84端部直线段3418.470.00000.00210.9980880.7100878.9054879.8077MpaMpa平曲线段0.000.13960.09350.9107878.9054800.4352839.6703起点应力=起点应力=直线段0.000.00000.00001.0000800.4352800.4352800.4352880.71253.64竖曲线段1047.200.11340.07660.9262800.4352741.4004770.9178中间直线段11703.510.00000.00700.9930741.4004736.2125738.8065起点应力控制应力下终点应力平均应力应力下
31.5米箱梁终张拉锚内伸长值计算
分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)15.42930.00274.49端部直线段1804.020.00000.00110.9989880.7100879.7572880.23368.14930.00274.49端部直线段1804.200.00000.00110.9989880.7100879.7571880.23368.14930.00268.59端部直线段1913.240.00000.00110.9989880.7100879.6996880.20488.64930.000.00MpaMpa平曲线段2136.500.13960.09480.9096879.7572800.1845839.97099.20MpaMpa平曲线段2138.400.13960.09480.9096879.7571800.1835839.97039.21MpaMpa平曲线段1087.360.13960.09420.9101879.6996800.6359840.16774.68Mpa0.00起点应力=起点应力=直线段795.410.00000.00050.9995800.1845799.8027799.99363.26起点应力=起点应力=直线段5920.260.00000.00360.9965800.1835797.3462798.764924.25起点应力=起点应力=直线段9405.790.00000.00560.9944800.6359796.1303798.383138.51起点应力=4.14880.71259.94竖曲线段2268.930.11340.07730.9256799.8027740.2718770.03728.96880.71259.94竖曲线段2268.930.11340.07730.9256797.3462737.9981767.67218.93880.71254.35竖曲线段2268.930.11340.07730.9256796.1303736.8727766.50158.92880.71中间直线段1595.680.00000.00100.9990736.8727736.1675736.52016.03中间直线段4139.860.00000.00250.9975737.9981736.1672737.082615.65中间直线段9231.570.00000.00550.9945740.2718736.1828738.227334.9544.342N3管道管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)控制应力下2N7管道管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=2N10管道2N2d管道31.5米箱梁终张拉锚内伸长值计算
2N2d管道锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）3、终张拉伸长值计算2N9管道锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)267.84端部直线段3418.470.00000.00210.9980880.7100878.9054879.807715.42Mpa平曲线段0.000.13960.09350.9107878.9054800.4352839.67030.00起点应力=直线段0.000.00000.00001.0000800.4352800.4352800.43520.00253.64竖曲线段1047.200.11340.07660.9262800.4352741.4004770.91784.14中间直线段11703.510.00000.00700.9930741.4004736.2125738.806544.341372.43274.49端部直线段1804.200.00000.00110.99891299.69121298.28501298.988112.021342.95268.59端部直线段1913.240.00000.00110.99891271.77371270.31461271.044112.471339.2267.84端部直线段MpaMpa平曲线段2139.670.13960.09480.90951298.28501180.85491239.570013.60MpaMpa平曲线段2010.910.06980.04800.95321270.31461210.81921240.566912.79MpaMpa平曲线段起点应力=起点应力=直线段8480.700.00000.00510.99491180.85491174.86151177.858251.23起点应力=起点应力=直线段5920.060.00000.00360.99651210.81921206.52591208.672636.69起点应力=起点应力=直线段1299.69259.94竖曲线段2268.930.11340.07730.92561174.86151087.41411131.137813.161271.77254.35竖曲线段2268.930.11340.07730.92561206.52591116.72171161.623813.521268.22253.64竖曲线段中间直线段中间直线段4139.860.00000.00250.99751116.72171113.95131115.336523.68中间直线段1596.000.00000.00100.99901087.41411086.37331086.89378.90起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)2N8管道起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位N1a管道31.5米箱梁终张拉锚内伸长值计算
x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)3174.770.00000.00190.99811268.22241265.80891267.015720.631339.2930端部直线段3418.470.00000.00210.99801268.22241265.62381266.923122.211372.43274.486端部直线段1804.200.00000.00110.99891299.69121298.28501298.988112.021342.95268.59端部直线段1913.240.00000.00110.000.00000.00001.00001265.80891265.80891265.80890.00MpaMpa平曲线段0.000.00000.00001.00001265.62381265.62381265.62380.00MpaMpa平曲线段2137.920.13960.09480.90961298.28501180.85611239.570613.59MpaMpa平曲线段1083.760.06980.04740.000.00000.00001.00001265.80891265.80891265.80890.00起点应力=起点应力=直线段0.000.00000.00001.00001265.62381265.62381265.62380.00起点应力=起点应力=直线段3357.180.00000.00200.99801180.85611178.47991179.668020.31起点应力=起点应力=直线段1720.500.00000.00101047.200.06980.04740.95371265.80891207.22241236.51576.641268.22880.71竖曲线段1047.200.06980.04740.95371265.62381207.04591236.33496.641299.69259.94竖曲线段2268.930.11340.07730.92561178.47991090.76321134.621613.201271.77254.35竖曲线段2268.930.11340.077311696.620.00000.00700.99301207.22241198.77981203.001172.16起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)N2d管道中间直线段11703.510.00000.00700.99301207.04591198.59961202.822772.192N5管道中间直线段6686.270.00000.00400.99601090.76321086.39611088.579737.33起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθ2N4管道中间直线段9231.570.00000.005531.5米箱梁终张拉锚内伸长值计算
e-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)0.99891271.77371270.31461271.044112.471339.2267.84端部直线段3418.470.00000.00210.99801268.22241265.62381266.923122.211342.95930端部直线段1913.240.00000.00110.99891271.77371270.31461271.044112.471372.43930端部直线段1804.200.00000.00110.99891299.69121298.28500.95371270.31461211.49291240.90386.90MpaMpa平曲线段0.000.00000.00001.00001265.62381265.62381265.62380.00MpaMpa平曲线段1087.360.06980.04740.95371270.31461211.49031240.90246.92MpaMpa平曲线段2138.400.13960.09480.90961298.28501180.85580.99901211.49291210.24301210.868010.68起点应力=起点应力=直线段0.000.00000.00001.00001265.62381265.62381265.62380.00起点应力=起点应力=直线段9405.790.00000.00560.99441211.49031204.67261208.081558.27起点应力=起点应力=直线段5920.260.00000.00360.99651180.85581176.66860.92561210.24301120.16211165.202513.561268.22253.64竖曲线段1047.200.06980.04740.95371265.62381207.04591236.33496.641271.77880.71竖曲线段2268.930.11340.07730.92561204.67261115.00631159.839413.501299.69880.71竖曲线段2268.930.11340.07730.92561176.66861089.08680.99451120.16211113.97471117.068452.882N2b管道中间直线段11703.510.00000.00700.99301207.04591198.59961202.822772.19起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力2N10管道部位中间直线段1595.680.00000.00100.99901115.00631113.93931114.47289.122N7管道部位中间直线段4139.860.00000.00250.99751089.08681086.3849控制应力下31.5米箱梁终张拉锚内伸长值计算
平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=x (mm)1298.988112.021342.95930端部直线段1913.240.00000.00110.99891271.77371270.31461271.044112.471372.43930端部直线段x (mm)1804.020.00000.00110.99891299.69121298.28521298.988212.021339.2930端部直线段x (mm)3174.770.00000.00190.99811268.22241265.80891267.015720.63θ (rad)kx+uθe-(kx+uθ)起点应力终点应力平均应力分段伸长值（mm）θ (rad)kx+uθe-(kx+uθ)起点应力终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=θ (rad)kx+uθe-(kx+uθ)起点应力终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=1239.570413.59MpaMpa平曲线段1085.300.06980.04740.95371270.31461211.49181240.90326.91MpaMpa平曲线段2136.500.13960.09480.90961298.28521180.85731239.571213.58MpaMpa平曲线段0.000.00000.00001.00001265.80891265.80891265.80890.001178.762235.79起点应力=起点应力=直线段4282.260.00000.00260.99741211.49181208.38311209.937426.57起点应力=起点应力=直线段795.410.00000.00050.99951180.85731180.29381180.57564.82起点应力=起点应力=直线段0.000.00000.00001.00001265.80891265.80891265.80890.001132.877713.181271.77880.71竖曲线段2268.930.11340.07730.92561208.38311118.44061163.411813.541299.69880.71竖曲线段2268.930.11340.07730.92561180.29381092.44211136.368013.221268.22880.71竖曲线段1047.200.06980.04740.95371265.80891207.22241236.51576.64中间直线段11696.620.00000.00700.99301207.22241198.77981203.001172.16中间直线段9231.570.00000.00550.99451092.44211086.40791089.425051.57中间直线段6686.270.00000.00400.99601118.44061113.96271116.201638.271087.735823.092N6管道部位管道尺寸控制应力下2N3管道部位管道尺寸控制应力下2N1b管道部位管道尺寸控制应力下31.5米箱梁终张拉锚内伸长值计算
2N2c管道部位x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=x (mm)管道尺寸θ (rad)kx+uθe-(kx+uθ)起点应力控制应力下终点应力平均应力分段伸长值（mm）锚外控制应力=锚外初始应力=1339.2930端部直线段3418.470.00000.00210.99801268.22241265.62381266.923122.211339.2930端部直线段3418.470.00000.00210.99801268.22241265.62381266.923122.21MpaMpa平曲线段0.000.00000.00001.00001265.62381265.62381265.62380.00MpaMpa平曲线段0.000.00000.00001.00001265.62381265.62381265.62380.00起点应力=起点应力=直线段0.000.00000.00001.00001265.62381265.62381265.62380.00起点应力=起点应力=直线段0.000.00000.00001.00001265.62381265.62381265.62380.001268.22880.71竖曲线段1047.200.06980.04740.95371265.62381207.04591236.33496.641268.22880.71竖曲线段1047.200.06980.04740.95371265.62381207.04591236.33496.64中间直线段11703.510.00000.00700.99301207.04591198.59961202.822772.19中间直线段11703.510.00000.00700.99301207.04591198.59961202.822772.192N2a管道部位设计32472323383183832338324733254332542323383257932506318383233832509324363233832542325433247232473318383233832338小计32472130.2小计32338127.8小计32473129.0小计32338127.8小计32473129.0小计32543132.4小计32542133.6小计32338127.8小计32579197.8小计32506198.3小计31837198.9小计32338202.1小计32509192.9小计32436193.0小计32338202.1小计32542200.6小计32543195.3小计32472195.5小计32473190.4小计31837198.9小计32338202.1小计32338202.1
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