50米箱梁伸长量计算

一.已知

Ey=1.95×105Mpa二.钢束各参数计算线段综合长度（m）11.018K=0.0004

竖弯θ(rad）平弯θ(rad)u=0.215

综合角度θKLAy=22*140

钢束编号为F1-A内e(KL)0.99560250.96933800.99372970.95436670.99743690.95436670.99549860.95436670.9999172N起点控制应力N终点控制应力N平均控制应力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计2.79315.7254.1896.4164.18911.2794.1890.20760.0050.139650.209450.209450.2094500.1396500.2094500.2094500.2094500.00440720.03114200.00629000.04670740.00256640.04670740.00451160.04670740.00008283567.333680.773704.023882.583892.564080.204098.674296.244296.603551.633567.333680.773704.023882.583892.564080.204098.674296.243559.483624.053692.403793.303887.573986.384089.434197.464296.423080.03080.03080.03080.03080.03080.03080.03080.03080.06.5301.6859.6672.6464.1532.7807.6802.9280.14838.200钢束编号为F1-A外线段综合长度（m）10.184竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计2.79317.0964.1895.8584.18911.2794.1890.20759.9840.139650.209450.209450.2094500.1396500.2094500.2094500.2094500.00407360.03114200.00683840.04670740.00234320.04670740.00451160.04670740.00008280.99593470.96933800.99318490.95436670.99765950.95436670.99549860.95436670.99991723566.173679.573704.853883.453892.564080.204098.674296.244296.603551.663566.173679.573704.853883.453892.564080.204098.674296.243558.913622.873692.213794.153888.003986.384089.434197.464296.423080.03080.03080.03080.03080.03080.03080.03080.03080.06.0351.68510.5102.6463.7922.7807.6802.9280.14838.200计算:孙一星复核:马春波第 1 页，共 12 页

钢束编号为F1-B内线段综合长度（m）6.209竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.209450.209450.209450.209450.2094500.2094500.2094500.2094500.00248360.04670740.00381480.04670740.00256640.04670740.00451160.04670740.00008280.99751950.95436670.99619250.95436670.99743690.95436670.99549860.95436670.99991723520.223689.913704.023882.583892.564080.204098.674296.244296.603511.483520.223689.913704.023882.583892.564080.204098.674296.243515.853605.073696.973793.303887.573986.384089.434197.464296.423080.03080.03080.03080.03080.03080.03080.03080.03080.03.6352.5145.8702.6464.1532.7807.6802.9280.14832.4004.1899.5374.1896.4164.18911.2794.1890.20750.404钢束编号为F1-B外线段综合长度（m）5.651竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.209450.209450.209450.209450.2094500.2094500.2094500.2094500.00226040.04670740.00425120.04670740.00234320.04670740.00451160.04670740.00008280.99774220.95436670.99575780.95436670.99765950.95436670.99549860.95436670.99991723519.473689.123704.853883.453892.564080.204098.674296.244296.603511.523519.473689.123704.853883.453892.564080.204098.674296.243515.493604.303696.993794.153888.003986.384089.434197.464296.423080.03080.03080.03080.03080.03080.03080.03080.03080.03.3082.5146.5422.6463.7922.7807.6802.9280.14832.3004.18910.6284.1895.8584.18911.2794.1890.20750.379计算:孙一星复核:马春波第 2 页，共 12 页

钢束编号为F1-C内

线段综合长度（m）6.209竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEF累计00.209450.139650.2094500.1396500.00248360.04670740.00629120.03114200.00440720.99751950.95436670.99372850.96933800.99560253930.364119.824145.854277.694296.603920.603930.364119.824145.854277.693925.484025.094132.834211.774287.153080.03080.03080.03080.03080.04.0582.80710.8231.9597.86527.5004.18915.7282.79311.01839.937钢束编号为F1-C外

线段综合长度（m）5.651竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEF累计00.209450.139650.2094500.1396500.00226040.04670740.00683840.03114200.00407360.99774220.95436670.99318490.96933800.99593473929.514118.944147.234279.124296.603920.643929.514118.944147.234279.123925.084024.234133.094213.184287.863080.03080.03080.03080.03080.03.6932.80711.7651.9597.27127.5004.18917.0962.79310.18439.913计算:孙一星复核:马春波第 3 页，共 12 页

钢束编号为F2-A内线段综合长度（m）9.838竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.122150.209450.209450.209450.1221500.2094500.2094500.2094500.00393520.02723950.00760160.04670740.00256640.04670740.00308160.04670740.00081360.99607250.97312820.99242720.95436670.99743690.95436670.99692310.95436670.99918673579.223678.523706.623885.303895.294083.064095.674293.114296.603565.153579.223678.523706.623885.303895.294083.064095.674293.113572.193628.873692.573795.963890.293989.184089.374194.394294.853080.03080.03080.03080.03080.03080.03080.03080.03080.05.8511.47611.6842.6484.1562.7825.2462.9251.45538.2002.44319.0044.1896.4164.1897.7044.1892.03460.006钢束编号为F2-A外线段综合长度（m）8.886竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计计算:孙一星

00.122150.209450.209450.209450.1221500.2094500.2094500.2094500.00355440.02723950.00819800.04670740.00234320.04670740.00307960.04670740.00081360.99645190.97312820.99183550.95436670.99765950.95436670.99692510.95436670.99918673577.893677.153707.463886.183895.304083.074095.674293.114296.603565.183577.893677.153707.463886.183895.304083.074095.674293.113571.533627.523692.303796.823890.743989.184089.374194.394294.853080.03080.03080.03080.03080.03080.03080.03080.03080.05.2841.47612.6002.6483.7952.7825.2422.9251.45538.2002.44320.4954.1895.8584.1897.6994.1892.03459.982复核:马春波第 4 页，共 12 页

钢束编号为F2-B内线段综合长度（m）4.381竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.209450.209450.209450.209450.2094500.2094500.2094500.2094500.00175240.04670740.00524480.04670740.00256640.04670740.00308160.04670740.00081360.99824910.95436670.99476890.95436670.99743690.95436670.99692310.95436670.99918673517.643687.213706.623885.303895.294083.064095.674293.114296.603511.483517.643687.213706.623885.303895.294083.064095.674293.113514.563602.433696.923795.963890.293989.184089.374194.394294.853080.03080.03080.03080.03080.03080.03080.03080.03080.02.5642.5138.0712.6484.1562.7825.2462.9251.45532.4004.18913.1124.1896.4164.1897.7044.1892.03450.403钢束编号为F2-B外

线段综合长度（m）3.824竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.209450.209450.209450.209450.2094500.2094500.2094500.2094500.00152960.04670740.00568160.04670740.00234320.04670740.00308160.04670740.00081360.99847160.95436670.99433450.95436670.99765950.95436670.99692310.95436670.99918673516.893686.423707.453886.173895.294083.064095.674293.114296.603511.513516.893686.423707.453886.173895.294083.064095.674293.113514.203601.663696.943796.813890.733989.184089.374194.394294.853080.03080.03080.03080.03080.03080.03080.03080.03080.02.2372.5128.7432.6483.7952.7825.2462.9251.45532.3004.18914.2044.1895.8584.1897.7044.1892.03450.38计算:孙一星复核:马春波第 5 页，共 12 页

钢束编号为F2-C内线段综合长度（m）4.381竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEF累计00.209450.122150.2094500.1221500.00175240.04670740.00760160.02723950.00393520.99824910.95436670.99242720.97312820.99607253942.564132.614164.194279.714296.603935.663942.564132.614164.194279.713939.114037.594148.404221.954288.163080.03080.03080.03080.03080.02.8732.81613.1261.7177.02427.2004.18919.0042.4439.83839.855钢束编号为F2-C外线段综合长度（m）3.824竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEF累计00.209450.122150.2094500.1221500.00152960.04670740.00819800.02723950.00355440.99847160.95436670.99183550.97312820.99645193941.714131.724165.784281.354296.603935.683941.714131.724165.784281.353938.694036.714148.754223.564288.973080.03080.03080.03080.03080.02.5082.81514.1571.7186.34627.2004.18920.4952.4438.88639.837计算:孙一星复核:马春波第 6 页，共 12 页

钢束编号为F3-A内线段综合长度（m）8.212竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.10470.209450.209450.209450.104700.2094500.2094500.2094500.00328480.02334810.00909440.04670740.00256640.04670740.00165120.04670740.00154480.99672060.97692240.99094680.95436670.99743690.95436670.99835020.95436670.99845643590.433675.593709.223888.023898.024085.924092.684289.974296.603578.653590.433675.593709.223888.023898.024085.924092.684289.973584.543633.013692.403798.623893.023991.974089.304191.324293.283080.03080.03080.03080.03080.03080.03080.03080.03080.04.9011.26713.9782.6494.1592.7842.8112.9232.76138.2002.09422.7364.1896.4164.1894.1284.1893.86260.015钢束编号为F3-A外

线段综合长度（m）7.103竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.10470.209450.209450.209450.104700.2094500.2094500.2094500.00284120.02334810.00975400.04670740.00234320.04670740.00165120.04670740.00154480.99716280.97692240.99029340.95436670.99765950.95436670.99835020.95436670.99845643588.863673.983710.053888.893898.024085.924092.684289.974296.603578.673588.863673.983710.053888.893898.024085.924092.684289.973583.773631.423692.013799.473893.453991.974089.304191.324293.283080.03080.03080.03080.03080.03080.03080.03080.03080.04.2381.26614.9902.6503.7982.7842.8112.9232.76138.2002.09424.3854.1895.8584.1894.1284.1893.86259.997计算:孙一星复核:马春波第 7 页，共 12 页

钢束编号为F3-B内线段综合长度（m）2.554竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.209450.209450.209450.209450.2094500.2094500.2094500.2094500.00102160.04670740.00667520.04670740.00256640.04670740.00165120.04670740.00154480.99897890.95436670.99334700.95436670.99743690.95436670.99835020.95436670.99845643515.073684.513709.223888.023898.024085.924092.684289.974296.603511.483515.073684.513709.223888.023898.024085.924092.684289.973513.273599.793696.863798.623893.023991.974089.304191.324293.283080.03080.03080.03080.03080.03080.03080.03080.03080.01.4942.51110.2722.6494.1592.7842.8112.9232.76132.4004.18916.6884.1896.4164.1894.1284.1893.86250.404钢束编号为F3-B外线段综合长度（m）1.996竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计计算:孙一星

00.209450.209450.209450.209450.2094500.2094500.2094500.2094500.00079840.04670740.00711160.04670740.00234320.04670740.00165120.04670740.00154480.99920190.95436670.99291360.95436670.99765950.95436670.99835020.95436670.99845643514.313683.723710.053888.893898.024085.924092.684289.974296.603511.513514.313683.723710.053888.893898.024085.924092.684289.973512.913599.023696.883799.473893.453991.974089.304191.324293.283080.03080.03080.03080.03080.03080.03080.03080.03080.01.1672.51010.9442.6503.7982.7842.8112.9232.76132.3004.18917.7794.1895.8584.1894.1284.1893.86250.379复核:马春波第 8 页，共 12 页

钢束编号为F3-C内线段综合长度（m）2.554竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEF累计00.209450.10470.2094500.104700.00102160.04670740.00909440.02334810.00328480.99897890.95436670.99094680.97692240.99672063954.724145.364183.294282.504296.603950.683954.724145.364183.294282.503952.704050.044164.324232.894289.553080.03080.03080.03080.03080.01.6812.82515.7641.4765.86527.6004.18922.7362.0948.21239.785钢束编号为F3-C外

线段综合长度（m）1.996竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEF累计00.209450.10470.2094500.104700.00079840.04670740.00975400.02334810.00284120.99920190.95436670.99029340.97692240.99716283953.864144.464185.154284.404296.603950.703953.864144.464185.154284.403952.284049.164164.804234.774290.503080.03080.03080.03080.03080.01.3132.82416.9101.4765.07427.6004.18924.3852.0947.10339.767计算:孙一星复核:马春波第 9 页，共 12 页

钢束编号为F4-A内线段综合长度（m）7.731竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.06980.209450.209450.209450.069800.2094500.2094500.2094500.00309240.01556540.01026960.04670740.00256640.04670740.00022120.04670740.00227600.99691240.98455510.98978300.95436670.99743690.95436670.99977880.95436670.99772663616.933673.823711.813890.743900.744088.784089.684286.834296.603605.763616.933673.823711.813890.743900.744088.784089.684286.833611.353645.383692.823801.273895.743994.764089.234188.264291.713080.03080.03080.03080.03080.03080.03080.03080.03080.04.6490.84715.7862.6514.1622.7860.3772.9214.06638.2001.39625.6744.1896.4164.1890.5534.1895.6960.027钢束编号为F1-B内线段综合长度（m）6.068竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计计算:孙一星

00.06980.209450.209450.209450.069800.2094500.2094500.2094500.00242720.01556540.01115160.04670740.00234320.04670740.00022120.04670740.00227600.99757570.98455510.98891030.95436670.99765950.95436670.99977880.95436670.99772663614.543671.393712.643891.613900.744088.784089.684286.834296.603605.773614.543671.393712.643891.613900.744088.784089.684286.833610.163642.963692.013802.123896.183994.764089.234188.264291.713080.03080.03080.03080.03080.03080.03080.03080.03080.03.6470.84717.1382.6523.8002.7860.3772.9214.06638.2001.39627.8794.1895.8584.1890.5534.1895.6960.011复核:马春波第 10 页，共 12 页

钢束编号为F4-B内线段综合长度（m）2.197竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.062850.209450.209450.209450.0628500.2094500.2094500.2094500.00087880.01401560.00869400.04670740.00256640.04670740.00022120.04670740.00227600.99912160.98608220.99134370.95436670.99743690.95436670.99977880.95436670.99772663628.303679.633711.813890.743900.744088.784089.684286.834296.603625.113628.303679.633711.813890.743900.744088.784089.684286.833626.713653.973695.723801.273895.743994.764089.234188.264291.713080.03080.03080.03080.03080.03080.03080.03080.03080.01.3270.76513.3742.6514.1622.7860.3772.9214.06632.4001.25721.7354.1896.4164.1890.5534.1895.6950.415钢束编号为F4-B外

线段综合长度（m）1.64竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEFFGGHHIIJ累计00.062850.209450.209450.209450.0628500.2094500.2094500.2094500.00065600.01401560.00913040.04670740.00234320.04670740.00022120.04670740.00227600.99934420.98608220.99091120.95436670.99765950.95436670.99977880.95436670.99772663627.523678.843712.643891.613900.744088.784089.684286.834296.603625.143627.523678.843712.643891.613900.744088.784089.684286.833626.333653.183695.743802.123896.183994.764089.234188.264291.713080.03080.03080.03080.03080.03080.03080.03080.03080.00.9900.76514.0462.6523.8002.7860.3772.9214.06632.4001.25722.8264.1895.8584.1890.5534.1895.6950.391计算:孙一星复核:马春波第 11 页，共 12 页

钢束编号为F4-C内线段综合长度（m）2.197竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEF累计00.062850.06980.0628500.069800.00087880.01401560.01085840.01556540.00309240.99912160.98608220.98920030.98455510.99691244113.184171.384217.004283.334296.604109.574113.184171.384217.004283.334111.384142.284194.194250.164289.963080.03080.03080.03080.03080.01.5040.86718.9570.9885.52227.8001.25727.1461.3967.73139.727钢束编号为F4-C外线段综合长度（m）1.64竖弯θ(rad）平弯θ(rad)综合角度θKLe(KL)N起点控制应N终点控制应N平均控制应力力力AyLN平LAyEy (cm)ABBCCDDEEF累计00.062850.06980.0628500.069800.00065600.01401560.01174000.01556540.00242720.99934420.98608220.98832860.98455510.99757574112.284170.464219.814286.184296.604109.584112.284170.464219.814286.184110.934141.374195.134252.994291.393080.03080.03080.03080.03080.01.1230.86720.5010.9894.33627.8001.25729.351.3966.06839.711计算:孙一星复核:马春波第 12 页，共 12 页