沙坪坝区沙磁片区道路工程（5号路）桥梁计算书

沙坪坝区沙磁片区道路工程（5号路）计算软件名称及版本号：御临河东滨河路（寨子路以南）道路工程-L-4段工程编号：工程规模：桥梁1座，中型目录TOC第一章工程概况 11.1、工程概况 11.2、技术标准、规范 11.2.1、技术规范 11.2.2、主要技术标准 21.3、结构主要材料 21.3.1、混凝土 21.3.2、预应力钢绞线 31.3.3、钢筋 31.3.4、钢板 3第二章结构计算 43.1、主要设计计算参数 43.3、上部结构验算 43.4、横梁验算 603.6、下部结构验算 633.6.1、盖梁验算 633.6.3、桩基承载能力验算 65PAGE3第一章工程概况1.1、工程概况5号路（含童家桥正街连接段、国盛大道连接段）设计全长1021m。其中5号路主线设计全长760.470m，设计等级为城市次干路，标准路幅宽度为26m，双向四车道，设计时速为30km/h。其中K0+378.479~K0+603.954段为现状桥梁，建成于2013年8月。拟建的K0+520.235大桥为现状桥梁外侧拓宽部分，毗邻清水溪。桥梁起点桩号K0+381.249，桥梁终点桩号K0+659.221，为（35.15+27.642+28.829）m+（28.92+29.791+32.0+31.40）m+（27.96+27.96）m预应力砼连续箱梁桥。1.2、技术标准、规范1.2.1、技术规范《公路桥涵设计通用规范》（JTGD60-2015）《公路钢筋混凝土及预应力混凝土桥涵设计规范》（JTG3362-2015）《公路桥涵地基与基础设计规范》（JTG3363-2019）《公路圬工桥涵设计规范》（JTGD61-2005）《公路桥涵施工技术规范》（JTG/TF50-2011）《城市桥梁设计规范》（2019年版）（CJJ11-2011）《城市桥梁抗震设计规范》（CJJ166-2011）《城市桥梁工程施工与质量验收规范》（CJJ2—2008）交通、建设及相关行业其他有效规范、规程、规定等。1.2.2、主要技术标准（1）设计荷载：汽车荷载：城—A级；人群荷载：3.7Kpa；（2）道路等级：城市次干路，计算行车速度：30公里/小时；（3）地震基本设防烈度：6度，抗震设防措施等级为6级；（4）桥梁设计基准期：100年；（5）桥梁使用年限：100年；（6）设计安全等级：一级，结构重要性系数1.1；（7）桥面标准宽度：7.5m（行车道）+5.5m（人行道）=13.0m；（8）纵坡、横坡桥梁纵坡：i=-1.137％及2.286%；桥梁横坡：采用1.5％的单向横坡；（9）耐久性设计环境类别：Ⅰ类（JTG3362-2018规范中分类）。1.3、结构主要材料1.3.1、混凝土本工程使用高标号混凝土，必须仔细研究确定施工工艺和所选用的材料，进行高强混凝土最佳配合比设计与试验，制定质量控制标准和检测方法，并严格执行。C50砼，其轴心抗压设计强度fcd=22.4MPa，轴心抗拉设计强度ftd=1.83MPa，弹性模量Ec=3.45×104MPa。C40砼，其轴心抗压设计强度fcd=18.4MPa，轴心抗拉设计强度ftd=1.65MPa，弹性模量Ec=3.25×104MPa。C30砼，其轴心抗压设计强度fcd=13.8MPa，轴心抗拉设计强度ftd=1.39MPa，弹性模量Ec=3.0×104MPa。C25混凝土，其轴心抗压设计强度fcd=11.5MPa，轴心抗拉设计强度ftd=1.23MPa，弹性模量Ec=2.8×104MPa。C20混凝土，其轴心抗压设计强度fcd=9.2MPa，轴心抗拉设计强度ftd=1.06MPa，弹性模量Ec=2.55×104MPa。1.3.2、预应力钢绞线钢绞线采用标准《预应力混凝土用钢绞线》（GB/T5224-2014）高强度低松弛钢绞线，其标准强度fpk=1860MPa，弹性模量Ep＝1.95×105MPa，单根钢绞线公称直径φS15.2mm，公称面积139.0mm2。1.3.3、钢筋设计采用钢筋为HPB300和HRB400，钢筋必须符合国家标准的有关规定。钢筋抗拉、抗压设计强度为：HPB300fsd=fsd'=250Mpa，HRB400fsd=fsd'=330Mpa。1.3.4、钢板采用Q235c钢，其技术条件必须符合《公路钢结构桥梁设计规范》（JTGD64-2015）规定。第二章结构计算2.1、主要设计计算参数（1）体系整体均匀升温19℃、降温23℃；（2）日照正温差T1=15.2℃T2=5.74℃；（3）日照负温差T1=-7.6℃T2=-2.75℃；（4）波纹管摩阻系数μ=0.16；（5）偏差系数K=0.0015；（6）一端锚具变形引起的钢束回缩量为6mm；（7）钢绞线松弛系数ξ=0.3；（8）混凝土容重；（9）人群荷载3.83KN/m2；（10）汽车荷载城市—A级；（11）设计安全等级：一级，结构重要性系数1.1；（12）预应力类型：A类；（13）张拉控制应力：1395MPa。2.2、上部结构验算结构总体计算采用midas2019进行建模，对结构按规范进行复核验算。2.2.1、第一联（1）结构有限元模型全桥离散为113个节点，90个梁单元，全桥共有划分为6个施工阶段。全桥结构有限元模型（2）抗裂验算按A类预应力混凝土构件进行正截面抗裂验算，在作用长期短期效应组合下，对构件正截面拉应力和斜截面的最大主拉应力进行验算，其验算结果见表。正截面抗裂验算（MPa）验算位置结果Sig_TSig_BSig_TLSig_TRSig_BRSig_BLSig_MAXSig_ALW0.000[1]OK-1.3-0.2-1.3-1.3-0.2-0.2-1.3-1.8550.011[2]OK1.03.81.01.03.83.81.0-1.8550.011[2]OK2.34.02.32.34.04.02.300.028[3]OK1.03.91.01.03.93.91.0-1.8550.028[3]OK2.34.02.32.34.04.02.300.046[4]OK1.14.31.01.14.44.31.0-1.8550.046[4]OK2.44.42.42.44.54.42.400.064[4]OK1.14.91.01.25.04.91.0-1.8550.064[4]OK2.45.02.42.55.05.02.400.083[5]OK1.15.80.91.25.95.70.9-1.8550.083[5]OK2.45.82.42.45.85.82.400.101[7]OK1.06.90.81.27.16.80.8-1.8550.101[7]OK2.46.92.32.47.06.92.300.119[7]OK0.87.20.61.17.37.00.6-1.8550.119[7]OK2.27.12.22.37.27.12.200.138[9]OK0.97.20.61.27.47.00.6-1.8550.138[9]OK2.37.12.22.47.17.02.200.156[10]OK1.17.00.81.47.26.80.8-1.8550.156[10]OK2.56.82.52.66.96.82.500.174[10]OK1.26.80.91.67.16.60.9-1.8550.174[10]OK2.76.62.62.86.76.62.600.193[11]OK1.36.71.01.77.06.41.0-1.8550.193[11]OK2.96.52.82.96.56.42.800.211[12]OK1.46.71.01.87.06.41.0-1.8550.211[12]OK2.96.42.83.06.56.32.800.229[14]OK1.46.70.91.87.06.40.9-1.8550.229[14]OK3.06.42.83.16.56.32.800.248[15]OK1.36.80.81.87.26.40.8-1.8550.248[15]OK2.96.42.83.06.56.32.800.267[16]OK1.27.00.61.77.46.60.6-1.8550.267[16]OK2.86.62.73.06.76.52.700.285[17]OK1.27.00.71.87.46.60.7-1.8550.285[17]OK2.96.52.83.16.66.42.800.303[18]OK1.56.70.92.17.16.20.9-1.8550.303[18]OK3.26.23.13.46.36.13.100.322[19]OK2.06.11.42.76.65.61.4-1.8550.322[19]OK3.85.63.63.95.75.53.600.340[19]OK2.55.51.83.26.05.01.8-1.8550.340[19]OK4.34.94.14.55.04.84.100.358[20]OK8.72.58.19.43.02.12.1-1.8550.358[20]OK5.23.75.15.43.83.63.600.377[21]OK9.12.08.49.82.51.51.5-1.8550.377[21]OK5.63.25.55.83.33.03.000.395[22]OK9.51.58.710.22.11.01.0-1.8550.395[22]OK6.02.75.86.22.82.62.600.413[23]OK9.40.98.710.11.40.30.3-1.8550.413[23]OK5.91.95.76.12.01.71.700.432[24]OK9.30.48.610.10.9-0.2-0.2-1.8550.432[24]OK5.81.35.76.01.41.11.100.450[26]OK9.10.28.49.80.7-0.3-0.3-1.8550.450[26]OK5.61.15.45.81.20.90.900.468[27]OK8.60.57.99.31.00.00.0-1.8550.468[27]OK5.01.34.95.21.41.21.200.491[28]OK7.91.57.18.62.00.90.9-1.8550.491[28]OK4.22.34.04.42.52.22.200.514[28]OK8.70.510.37.1-0.71.6-0.7-1.8550.514[28]OK5.11.35.64.60.91.70.900.532[29]OK9.30.210.97.7-0.91.4-0.9-1.8550.532[29]OK5.71.16.25.20.71.50.700.551[30]OK9.60.411.28.0-0.81.5-0.8-1.8550.551[30]OK6.11.36.65.61.01.71.000.569[31]OK9.60.911.38.0-0.22.1-0.2-1.8550.569[31]OK6.22.06.75.71.62.41.600.587[32]OK9.71.711.38.10.52.90.5-1.8550.587[32]OK6.22.96.75.72.53.32.500.596[34]OK9.51.911.18.00.83.10.8-1.8550.596[34]OK6.03.16.55.62.83.52.800.606[34]OK9.42.210.97.81.13.31.1-1.8550.606[34]OK5.83.46.35.43.13.83.100.624[36]OK3.25.24.81.64.06.31.6-1.8550.624[36]OK5.44.05.95.03.74.33.700.642[36]OK2.75.84.31.24.76.91.2-1.8550.642[36]OK4.55.35.04.05.05.64.000.661[38]OK2.26.63.60.75.57.60.7-1.8550.661[38]OK3.96.14.43.55.86.43.500.679[38]OK1.77.33.00.36.38.30.3-1.8550.679[38]OK3.46.83.82.96.57.12.900.697[40]OK1.37.82.70.06.88.70.0-1.8550.697[40]OK3.07.33.42.67.07.62.600.716[40]OK1.37.92.60.17.08.80.1-1.8550.716[40]OK3.07.53.32.67.27.82.600.734[42]OK1.47.72.60.36.98.60.3-1.8550.734[42]OK3.17.43.42.77.17.72.700.753[42]OK1.57.72.60.46.98.40.4-1.8550.753[42]OK3.17.43.52.87.17.62.800.771[43]OK1.67.62.60.56.98.40.5-1.8550.771[43]OK3.17.43.52.87.27.62.800.789[45]OK1.67.72.50.67.08.40.6-1.8550.789[45]OK3.17.53.42.87.37.72.800.807[45]OK1.57.82.40.67.28.50.6-1.8550.807[45]OK3.07.73.32.77.57.92.700.826[47]OK1.48.02.10.67.58.60.6-1.8550.826[47]OK2.87.93.12.67.78.12.600.844[47]OK1.28.31.90.57.88.80.5-1.8550.844[47]OK2.68.22.82.48.18.42.400.862[48]OK0.98.61.50.38.29.00.3-1.8550.862[48]OK2.38.62.52.28.48.72.200.881[50]OK0.98.61.40.48.29.00.4-1.8550.881[50]OK2.38.62.42.18.58.72.100.899[50]OK1.18.31.50.78.08.60.7-1.8550.899[50]OK2.48.42.62.38.38.52.300.918[52]OK1.36.91.60.96.77.20.9-1.8550.918[52]OK2.67.02.72.57.07.12.500.936[53]OK1.46.01.61.25.86.11.2-1.8550.936[53]OK2.76.12.72.66.16.22.600.954[54]OK1.45.21.51.35.25.31.3-1.8550.954[54]OK2.75.42.72.75.45.42.700.973[55]OK1.44.71.41.44.74.71.4-1.8550.973[55]OK2.74.92.72.74.94.92.700.989[55]OK1.54.61.41.54.64.51.4-1.8550.989[55]OK2.84.82.72.84.84.82.701.000[56]OK-1.3-0.2-1.3-1.3-0.2-0.2-1.3-1.855主梁斜截面抗裂验算（MPa）验算位置组合名称结果Sig_P5Sig_P6Sig_P7Sig_P8Sig_P9Sig_P10Sig_MAXSig_AP0.000[1]频遇60OK-0.80-0.80-0.51-0.51-0.09-0.09-0.80-1.3250.011[2]频遇70OK-0.39-0.49-0.34-0.43-0.23-0.30-0.49-1.3250.028[3]频遇60OK0.00-0.030.00-0.030.00-0.02-0.03-1.3250.046[4]频遇73OK-0.01-0.01-0.02-0.01-0.01-0.01-0.02-1.3250.064[4]频遇77OK-0.03-0.03-0.04-0.03-0.03-0.02-0.04-1.3250.083[5]频遇77OK-0.05-0.04-0.07-0.06-0.05-0.04-0.07-1.3250.101[7]频遇77OK-0.03-0.02-0.05-0.04-0.03-0.03-0.05-1.3250.119[7]频遇70OK0.00-0.030.00-0.030.00-0.02-0.03-1.3250.138[9]频遇70OK-0.04-0.10-0.07-0.13-0.04-0.08-0.13-1.3250.156[10]频遇60OK-0.04-0.11-0.07-0.15-0.04-0.09-0.15-1.3250.174[10]频遇60OK-0.02-0.08-0.04-0.11-0.02-0.07-0.11-1.3250.193[11]频遇60OK-0.01-0.05-0.02-0.07-0.01-0.05-0.07-1.3250.211[12]频遇60OK0.00-0.03-0.01-0.04-0.01-0.03-0.04-1.3250.229[14]频遇60OK0.00-0.010.00-0.020.00-0.01-0.02-1.3250.248[15]频遇71OK-0.01-0.02-0.01-0.02-0.01-0.02-0.02-1.3250.267[16]频遇71OK0.00-0.01-0.01-0.020.00-0.01-0.02-1.3250.285[17]频遇60OK-0.04-0.06-0.08-0.10-0.05-0.07-0.10-1.3250.303[18]频遇76OK-0.16-0.12-0.27-0.22-0.19-0.15-0.27-1.3250.322[19]频遇76OK-0.23-0.18-0.40-0.32-0.31-0.25-0.40-1.3250.340[19]频遇76OK-0.19-0.14-0.35-0.27-0.30-0.22-0.35-1.3250.358[20]频遇76OK-0.15-0.11-0.30-0.22-0.28-0.20-0.30-1.3250.377[21]频遇76OK-0.12-0.08-0.24-0.17-0.26-0.17-0.26-1.3250.395[22]频遇76OK-0.09-0.06-0.19-0.13-0.23-0.14-0.23-1.3250.413[23]频遇76OK-0.08-0.05-0.15-0.10-0.21-0.11-0.21-1.3250.432[24]频遇56OK-0.03-0.02-0.05-0.03-0.08-0.03-0.08-1.3250.450[26]频遇70OK-0.01-0.06-0.02-0.09-0.03-0.13-0.13-1.3250.468[27]频遇76OK-0.24-0.18-0.30-0.23-0.37-0.25-0.37-1.3250.491[28]频遇76OK-0.50-0.38-0.57-0.42-0.56-0.40-0.57-1.3250.514[28]频遇73OK-0.13-0.25-0.16-0.32-0.16-0.39-0.39-1.3250.532[29]频遇73OK-0.05-0.07-0.06-0.10-0.07-0.13-0.13-1.3250.551[30]频遇72OK-0.01-0.05-0.01-0.08-0.01-0.19-0.19-1.3250.569[31]频遇72OK-0.03-0.13-0.07-0.23-0.07-0.37-0.37-1.3250.587[32]频遇72OK-0.05-0.17-0.11-0.33-0.11-0.42-0.42-1.3250.596[34]频遇72OK-0.05-0.18-0.11-0.33-0.11-0.40-0.40-1.3250.606[34]频遇72OK-0.06-0.21-0.14-0.38-0.13-0.43-0.43-1.3250.624[36]频遇62OK-0.09-0.24-0.18-0.43-0.16-0.42-0.43-1.3250.642[36]频遇62OK-0.11-0.29-0.23-0.48-0.18-0.41-0.48-1.3250.661[38]频遇62OK-0.15-0.33-0.28-0.53-0.21-0.41-0.53-1.3250.679[38]频遇62OK-0.10-0.23-0.18-0.35-0.12-0.24-0.35-1.3250.697[40]频遇62OK-0.03-0.09-0.06-0.13-0.04-0.08-0.13-1.3250.716[40]频遇73OK0.00-0.02-0.01-0.020.00-0.02-0.02-1.3250.734[42]频遇73OK-0.01-0.02-0.01-0.03-0.01-0.02-0.03-1.3250.753[42]频遇73OK0.00-0.010.00-0.020.00-0.01-0.02-1.3250.771[43]频遇62OK0.00-0.02-0.01-0.02-0.01-0.01-0.02-1.3250.789[45]频遇62OK-0.01-0.03-0.02-0.04-0.01-0.03-0.04-1.3250.807[45]频遇62OK-0.02-0.05-0.03-0.07-0.02-0.04-0.07-1.3250.826[47]频遇62OK-0.03-0.07-0.05-0.10-0.03-0.06-0.10-1.3250.844[47]频遇62OK-0.05-0.10-0.08-0.14-0.04-0.08-0.14-1.3250.862[48]频遇62OK-0.03-0.09-0.06-0.11-0.03-0.06-0.11-1.3250.881[50]频遇62OK0.00-0.010.00-0.010.00-0.01-0.01-1.3250.899[50]频遇73OK-0.02-0.04-0.04-0.06-0.02-0.03-0.06-1.3250.918[52]频遇73OK-0.04-0.06-0.06-0.09-0.04-0.06-0.09-1.3250.936[53]频遇73OK-0.03-0.04-0.04-0.05-0.03-0.04-0.05-1.3250.954[54]频遇73OK-0.02-0.03-0.02-0.03-0.02-0.02-0.03-1.3250.973[55]频遇71OK-0.01-0.01-0.01-0.01-0.01-0.01-0.01-1.3250.989[55]频遇62OK0.00-0.020.00-0.010.00-0.01-0.02-1.3251.000[56]频遇60OK-0.79-0.79-0.51-0.51-0.08-0.08-0.79-1.325结论：由理论分析知，准永久、频遇组合下，箱梁抗裂验算满足规范要求。（3）混凝土压应力验算根据公路钢筋混凝土及预应力混凝土桥涵设计规范JTGD3362-2018进行持久状况构件的应力验算。在持久状况下，使用阶段受弯构件正截面混凝土的允许最大压应力为0.5×32.4=16.2Mpa；混凝土的主压应力最大允许值为0.6×32.4=19.4Mpa，其验算结果见表。最大压应力验算验算位置结果Sig_TSig_BSig_TSig_TRSig_BRSig_BSig_MAXSig_ALW0.000[1]OK3.20.53.23.20.50.53.216.20.011[2]OK5.54.55.55.54.54.55.516.20.028[3]OK5.84.35.75.84.34.25.816.20.046[4]OK6.04.46.06.14.44.36.116.20.064[4]OK6.24.66.16.34.74.66.316.20.083[5]OK6.45.16.26.55.25.06.516.20.101[7]OK5.57.15.35.77.37.07.316.20.119[7]OK5.47.35.25.77.47.17.416.20.138[9]OK0.57.30.20.87.57.17.516.20.156[10]OK7.25.16.97.55.34.97.516.20.174[10]OK7.54.77.27.84.94.57.816.20.193[11]OK7.74.47.48.14.74.28.116.20.211[12]OK7.94.27.58.34.53.98.316.20.229[14]OK8.04.17.68.44.43.88.416.20.248[15]OK8.04.17.68.54.43.88.516.20.267[16]OK8.04.27.58.44.53.88.416.20.285[17]OK8.14.17.58.64.53.78.616.20.303[18]OK8.43.87.88.94.23.48.916.20.322[19]OK8.93.28.39.53.62.79.516.20.340[19]OK9.42.58.810.03.02.110.016.20.358[20]OK9.82.09.210.52.41.510.516.20.377[21]OK10.21.59.510.92.00.910.916.20.395[22]OK10.51.09.811.21.60.511.216.20.413[23]OK10.40.49.711.11.0-0.111.116.20.432[24]OK10.30.09.611.00.5-0.511.016.20.450[26]OK10.1-0.19.410.80.5-0.610.816.20.468[27]OK9.50.28.810.20.8-0.310.216.20.491[28]OK8.81.28.09.51.80.79.516.20.514[28]OK9.60.211.28.0-0.91.411.216.20.532[29]OK10.2-0.111.88.6-1.21.111.816.20.551[30]OK10.50.112.18.9-1.11.212.116.20.569[31]OK10.60.512.29.0-0.61.712.216.20.587[32]OK10.71.212.39.10.02.412.316.20.596[34]OK10.61.412.29.00.32.612.216.20.606[34]OK10.41.711.98.90.62.811.916.20.624[36]OK10.02.211.58.61.23.311.516.20.642[36]OK9.62.911.08.21.93.911.016.20.661[38]OK9.13.610.47.72.74.610.416.20.679[38]OK8.54.39.87.33.45.29.816.20.697[40]OK8.24.89.47.04.05.79.416.20.716[40]OK8.25.09.37.04.25.89.316.20.734[42]OK8.34.99.37.24.15.69.316.20.753[42]OK8.34.99.37.34.25.69.316.20.771[43]OK8.34.99.27.44.35.69.216.20.789[45]OK8.25.19.17.44.55.79.116.20.807[45]OK8.05.48.87.24.85.98.816.20.826[47]OK0.98.21.70.17.68.78.716.20.844[47]OK0.78.41.40.07.98.98.916.20.862[48]OK0.58.71.1-0.18.39.19.116.20.881[50]OK0.58.71.00.08.39.09.016.20.899[50]OK5.78.56.15.38.28.88.816.20.918[52]OK5.87.36.15.57.17.57.516.20.936[53]OK6.65.66.86.45.55.76.816.20.954[54]OK6.45.26.56.35.25.36.516.20.973[55]OK6.25.06.26.25.05.16.216.20.989[55]OK6.05.36.06.15.35.26.116.21.000[56]OK3.20.53.23.20.50.53.216.2主压应力验算验算位置结果Sig_P1Sig_P2Sig_P3Sig_P4Sig_P5Sig_P6Sig_P7Sig_P8Sig_P9Sig_P100.000[1]OK3.213.210.510.510.000.000.000.000.000.000.011[2]OK5.555.554.514.512.262.472.833.013.633.770.028[3]OK5.745.794.294.261.902.042.452.573.273.370.046[4]OK5.976.084.424.342.072.152.612.693.443.520.064[4]OK6.146.314.714.582.252.372.802.933.713.830.083[5]OK6.256.505.205.012.442.623.063.234.114.290.101[7]OK5.325.687.277.012.272.533.353.605.425.680.119[7]OK5.215.657.437.112.202.543.313.635.465.780.138[9]OK0.210.757.497.103.864.284.605.006.026.410.156[10]OK6.927.475.284.882.913.333.403.794.254.640.174[10]OK7.207.824.924.473.003.463.363.804.004.440.193[11]OK7.408.094.664.163.063.583.333.813.804.290.211[12]OK7.538.284.493.943.093.673.303.843.664.210.229[14]OK7.588.414.413.813.103.743.273.873.584.180.248[15]OK7.568.464.433.783.083.783.263.923.554.210.267[16]OK7.488.444.543.843.043.793.243.953.584.290.285[17]OK7.548.584.503.753.103.873.294.003.574.280.303[18]OK7.838.944.173.373.304.073.444.123.474.170.322[19]OK8.309.483.602.753.554.333.564.243.243.920.340[19]OK8.7810.022.992.093.694.543.504.242.843.560.358[20]OK9.1810.502.441.503.814.733.434.242.473.230.377[21]OK9.5210.911.970.993.894.883.374.242.132.950.395[22]OK9.7811.251.590.583.955.023.304.251.832.720.413[23]OK9.6911.131.000.153.694.732.913.871.422.300.432[24]OK9.6011.020.590.053.444.492.563.571.052.020.450[26]OK9.3610.770.500.043.224.312.373.460.992.100.468[27]OK8.8510.250.780.073.054.142.383.481.362.430.491[28]OK8.039.511.780.712.933.942.573.551.942.890.514[28]OK11.188.040.011.384.702.433.991.762.880.790.532[29]OK11.788.630.011.104.992.664.091.792.660.380.551[30]OK12.118.940.011.225.312.974.342.102.740.610.569[31]OK12.239.030.031.725.593.244.692.513.101.070.587[32]OK12.339.100.172.395.913.515.122.953.591.540.596[34]OK12.159.020.302.565.843.495.112.963.691.620.606[34]OK11.948.890.592.795.773.495.123.053.841.840.624[36]OK11.508.581.193.305.613.445.143.174.162.230.642[36]OK10.998.201.883.895.433.375.153.284.522.660.661[38]OK10.397.752.664.575.223.275.173.404.923.130.679[38]OK9.807.293.435.244.933.045.043.305.203.440.697[40]OK9.427.043.975.684.722.894.923.215.363.650.716[40]OK9.317.054.185.794.642.934.863.265.393.780.734[42]OK9.357.224.125.644.643.044.833.335.293.790.753[42]OK9.337.334.165.584.623.114.803.395.243.830.771[43]OK9.247.394.285.604.583.174.773.455.243.920.789[45]OK9.077.354.515.724.503.194.753.525.314.080.807[45]OK8.837.254.835.944.403.264.753.695.444.370.826[47]OK1.720.127.628.755.234.025.994.867.566.430.844[47]OK1.450.047.938.935.104.035.934.937.646.640.862[48]OK1.140.018.269.134.934.005.854.987.716.850.881[50]OK1.010.018.319.044.824.045.745.017.626.890.899[50]OK6.095.268.218.793.202.594.423.856.916.340.918[52]OK6.125.537.077.492.972.554.013.615.895.480.936[53]OK6.786.415.465.722.982.713.613.354.694.430.954[54]OK6.536.335.175.302.712.593.313.194.284.150.973[55]OK6.226.195.045.072.472.493.063.073.983.980.989[55]OK5.996.105.315.242.372.513.023.154.044.151.000[56]OK3.213.210.530.530.000.000.000.000.000.00结论：由理论分析知，使用阶段箱梁正截面法向压应力及主压应力均满足规范要求。（4）预应力钢筋应力验算根据公路钢筋混凝土及预应力混凝土桥涵设计规范JTGD3362-2018第7.1条进行持久状况下进行预应力钢筋的拉应力验算。在持久状况下，使用阶段受拉预应力钢筋的最大拉应力允许值为0.65fpk=1209Mpa,其验算结果见表。使用阶段钢绞线拉应力验算钢束结果Sig_DL

(N/mm^2)Sig_ADL

(N/mm^2)安全系数

(最大拉应力)Sig_LL

(N/mm^2)Sig_ALL

(N/mm^2)N1-aOK1251.55513951.01941185.9661209N1-bOK1255.94713951.02221182.7571209N1-cOK1255.94713951.02521179.281209N1-dOK1251.55513951.02841175.5561209N2-aOK1255.91713951.01951185.8651209N2-bOK1260.96113951.02191183.0961209N2-cOK1260.96113951.02511179.4351209N2-dOK1255.91713951.0291174.8771209N3-aOK1266.57613951.00521202.6971209N3-bOK1271.35513951.00321205.1141209N3-cOK1271.35513951.0071200.5491209N3-dOK1266.57613951.01681189.0351209结论：由上表理论分析结果可知，使用阶段预应力钢筋拉应力不满足规范要求。（5）箱梁的强度验算根据《公路桥涵设计通用规范》（JTGD60-2015）中第4.1.7条规定进行效应组合，并进行承载能力验算，其验算结果见表。承载能力极限状态组合强度验算(单位：KN·m)验算位置结果rMu

(kN.m)Mn

(kN.m)受压区高度x

(m)ξb*h0

(m)2a'

(m)0.000[1]OK0.09436.8OK-0.010.870.120.000[1]OK0.013631.0OK0.010.870.120.011[2]OK-82.642817.3OK0.160.550.120.011[2]OK-737.642817.3OK0.160.550.120.028[3]OK6064.950835.6OK0.120.490.120.028[3]OK2671.650835.6OK0.120.490.120.046[4]OK12277.854264.3OK0.120.520.120.046[4]OK6031.854264.3OK0.120.520.120.064[4]OK17835.563015.5OK0.150.480.120.064[4]OK8977.863015.5OK0.150.480.120.083[5]OK22771.867439.1OK0.150.510.120.083[5]OK11538.967439.1OK0.150.510.120.101[7]OK27123.671652.0OK0.150.540.120.101[7]OK13690.871652.0OK0.150.540.120.119[7]OK30922.674812.7OK0.150.560.120.119[7]OK15426.174812.7OK0.150.560.120.138[9]OK34177.176273.1OK0.150.570.120.138[9]OK16836.776273.1OK0.150.570.120.156[10]OK36889.276378.8OK0.150.570.120.156[10]OK17922.776378.8OK0.150.570.120.174[10]OK39061.576378.8OK0.150.570.120.174[10]OK18683.876378.8OK0.150.570.120.193[11]OK40697.076378.8OK0.150.570.120.193[11]OK19120.276378.8OK0.150.570.120.211[12]OK41799.076378.8OK0.150.570.120.211[12]OK19231.876378.8OK0.150.570.120.229[14]OK42371.476378.8OK0.150.570.120.229[14]OK19018.576378.8OK0.150.570.120.248[15]OK42418.376378.8OK0.150.570.120.248[15]OK18480.476378.8OK0.150.570.120.267[16]OK41905.676279.4OK0.150.570.120.267[16]OK17563.976279.4OK0.150.570.120.285[17]OK40888.974799.2OK0.150.560.120.285[17]OK16359.374799.2OK0.150.560.120.303[18]OK39362.071470.8OK0.150.540.120.303[18]OK14830.271470.8OK0.150.540.120.322[19]OK37330.666599.6OK0.150.500.120.322[19]OK12976.366599.6OK0.150.500.120.340[19]OK34800.961368.8OK0.150.460.120.340[19]OK10797.961368.8OK0.150.460.120.358[20]OK31779.751944.4OK0.120.490.120.358[20]OK8294.951944.4OK0.120.490.120.377[21]OK28274.147586.7OK0.120.460.120.377[21]OK5467.547586.7OK0.120.460.120.395[22]OK24291.843223.5OK0.120.420.120.395[22]OK2315.343223.5OK0.120.420.120.413[23]OK19958.434681.6OK0.100.490.120.413[23]OK-1294.456017.6OK0.200.520.120.432[24]OK15872.531246.0OK0.100.460.120.432[24]OK-5459.660632.0OK0.200.550.120.450[26]OK11753.928614.3OK0.100.440.120.450[26]OK-10182.263860.6OK0.200.570.120.468[27]OK7926.727060.7OK0.110.410.120.468[27]OK-16258.765294.3OK0.200.580.120.491[28]OK2599.926752.1OK0.110.410.120.491[28]OK-24856.765665.9OK0.200.580.120.514[28]OK8043.127120.3OK0.110.410.120.514[28]OK-15849.665543.6OK0.200.580.120.532[29]OK11975.428876.4OK0.110.440.120.532[29]OK-9716.864121.6OK0.200.570.120.551[30]OK16189.431761.0OK0.110.460.120.551[30]OK-4913.160824.0OK0.200.550.120.569[31]OK20239.035428.1OK0.110.490.120.569[31]OK-658.256167.3OK0.200.520.120.587[32]OK24609.843597.9OK0.130.420.120.587[32]OK3061.743597.9OK0.130.420.120.596[34]OK26521.445640.5OK0.130.440.120.596[34]OK4590.845640.5OK0.130.440.120.606[34]OK28699.248054.5OK0.130.460.120.606[34]OK6273.148054.5OK0.130.460.120.624[36]OK32327.252519.4OK0.130.490.120.624[36]OK9144.252519.4OK0.130.490.120.642[36]OK35474.461466.6OK0.150.460.120.642[36]OK11690.061466.6OK0.150.460.120.661[38]OK38140.866684.9OK0.150.500.120.661[38]OK13909.466684.9OK0.150.500.120.679[38]OK40322.171515.7OK0.150.540.120.679[38]OK15804.471515.7OK0.150.540.120.697[40]OK42014.774776.9OK0.150.560.120.697[40]OK17376.974776.9OK0.150.560.120.716[40]OK43214.776182.5OK0.150.570.120.716[40]OK18629.076182.5OK0.150.570.120.734[42]OK43918.976240.5OK0.150.570.120.734[42]OK19563.276240.5OK0.150.570.120.753[42]OK44123.676211.8OK0.150.570.120.753[42]OK20192.076211.8OK0.150.570.120.771[43]OK43830.076184.0OK0.160.570.120.771[43]OK20486.176184.0OK0.160.570.120.789[45]OK43030.076155.1OK0.160.570.120.789[45]OK20478.676155.1OK0.160.570.120.807[45]OK41722.376125.7OK0.160.570.120.807[45]OK20161.076125.7OK0.160.570.120.826[47]OK39904.376095.9OK0.160.570.120.826[47]OK19534.976095.9OK0.160.570.120.844[47]OK37574.176074.7OK0.160.570.120.844[47]OK18601.976074.7OK0.160.570.120.862[48]OK34729.775945.9OK0.160.570.120.862[48]OK17363.375945.9OK0.160.570.120.881[50]OK31369.474458.5OK0.160.560.120.881[50]OK15820.174458.5OK0.160.560.120.899[50]OK27398.871189.7OK0.160.540.120.899[50]OK13928.071189.7OK0.160.540.120.918[52]OK22994.066955.5OK0.160.510.120.918[52]OK11675.366955.5OK0.160.510.120.936[53]OK18026.462516.3OK0.160.470.120.936[53]OK9054.062516.3OK0.160.470.120.954[54]OK12487.254557.0OK0.140.520.120.954[54]OK6083.954557.0OK0.140.520.120.973[55]OK6341.550978.3OK0.140.490.120.973[55]OK2737.950978.3OK0.140.490.120.989[55]OK301.647732.5OK0.140.470.120.989[55]OK-642.343229.1OK0.200.560.121.000[56]OK0.09436.8OK-0.010.870.121.000[56]OK0.013631.0OK0.010.870.12结论：箱梁抗弯承载能力验算满足规范要求。（6）、抗剪承载能力验算按照新《公桥规》第5.2.6、5.2.7条规定，对主梁截面进行抗剪承载能力验算，其验算结果见表。抗剪承载能力验算(单位：KN·m)验算位置结果rVd

(kN)Vn

(kN)截面验算构造验算0.000[1]OK0.013277.0OK跳过0.000[1]OK0.013277.0OK跳过0.011[2]OK1594.014663.3OK跳过0.011[2]OK270.714663.3OK跳过0.028[3]OK-3413.414355.3OK跳过0.028[3]OK-6765.414355.3OK验算0.046[4]OK-2980.315955.7OK跳过0.046[4]OK-6136.215955.7OK验算0.064[4]OK-2534.214441.9OK跳过0.064[4]OK-5544.714441.9OK验算0.083[5]OK-2095.114521.2OK跳过0.083[5]OK-4991.914521.2OK验算0.101[7]OK-1684.114497.2OK跳过0.101[7]OK-4478.714497.2OK验算0.119[7]OK-1286.212500.7OK跳过0.119[7]OK-3987.312500.7OK验算0.138[9]OK-886.311905.1OK跳过0.138[9]OK-3499.211905.1OK验算0.156[10]OK-484.312003.1OK跳过0.156[10]OK-3014.712003.1OK验算0.174[10]OK-80.612003.1OK跳过0.174[10]OK-2533.612003.1OK验算0.193[11]OK324.812003.1OK跳过0.193[11]OK-2056.112003.1OK跳过0.211[12]OK731.712003.1OK跳过0.211[12]OK-1582.312003.1OK跳过0.229[14]OK1140.012003.1OK跳过0.229[14]OK-1112.212003.1OK跳过0.248[15]OK1610.012003.1OK跳过0.248[15]OK-706.512003.1OK跳过0.267[16]OK2110.011888.4OK验算0.267[16]OK-288.411888.4OK跳过0.285[17]OK2586.312578.6OK验算0.285[17]OK105.112578.6OK跳过0.303[18]OK3063.012815.7OK验算0.303[18]OK494.812815.7OK跳过0.322[19]OK3540.213062.2OK验算0.322[19]OK880.513062.2OK跳过0.340[19]OK4017.612443.9OK验算0.340[19]OK1262.312443.9OK跳过0.358[20]OK4495.112879.5OK验算0.358[20]OK1640.212879.5OK验算0.377[21]OK4972.312328.9OK验算0.377[21]OK2014.012328.9OK验算0.395[22]OK5449.211778.0OK验算0.395[22]OK2383.911778.0OK验算0.413[23]OK5944.214732.2OK验算0.413[23]OK2765.214732.2OK验算0.432[24]OK6474.915331.0OK验算0.432[24]OK3152.314345.4OK验算0.450[26]OK7040.515421.4OK验算0.450[26]OK3552.412874.2OK验算0.468[27]OK7640.015310.6OK验算0.468[27]OK3981.511540.9OK验算0.491[28]OK8409.612674.4OK验算0.491[28]OK4535.79717.7OK验算0.514[28]OK-4064.310240.7OK验算0.514[28]OK-7743.913528.2OK验算0.532[29]OK-3635.212921.9OK验算0.532[29]OK-7145.215448.7OK验算0.551[30]OK-3235.114387.8OK验算0.551[30]OK-6580.314387.8OK验算0.569[31]OK-2851.714744.6OK验算0.569[31]OK-6050.314744.6OK验算0.587[32]OK-2472.112920.8OK验算0.587[32]OK-5556.512920.8OK验算0.596[34]OK-2303.512044.7OK验算0.596[34]OK-5337.512044.7OK验算0.606[34]OK-2104.713550.6OK验算0.606[34]OK-5082.713550.6OK验算0.624[36]OK-1736.314179.9OK验算0.624[36]OK-4609.614179.9OK验算0.642[36]OK-1364.813684.0OK跳过0.642[36]OK-4137.013684.0OK验算0.661[38]OK-989.414390.6OK跳过0.661[38]OK-3665.314390.6OK验算0.679[38]OK-611.014669.1OK跳过0.679[38]OK-3194.614669.1OK验算0.697[40]OK-230.214093.0OK跳过0.697[40]OK-2725.614093.0OK验算0.716[40]OK152.713500.5OK跳过0.716[40]OK-2259.013500.5OK验算0.734[42]OK537.613720.9OK跳过0.734[42]OK-1795.013720.9OK跳过0.753[42]OK933.513720.9OK跳过0.753[42]OK-1323.213720.9OK跳过0.771[43]OK1356.113720.9OK跳过0.771[43]OK-917.713720.9OK跳过0.789[45]OK1809.313720.9OK跳过0.789[45]OK-524.713720.9OK跳过0.807[45]OK2264.213720.9OK验算0.807[45]OK-134.613720.9OK跳过0.826[47]OK2720.713720.9OK验算0.826[47]OK252.413720.9OK跳过0.844[47]OK3179.013720.9OK验算0.844[47]OK636.413720.9OK跳过0.862[48]OK3639.413544.2OK验算0.862[48]OK1017.513544.2OK跳过0.881[50]OK4101.814039.5OK验算0.881[50]OK1395.514039.5OK跳过0.899[50]OK4576.714484.7OK验算0.899[50]OK1778.714484.7OK跳过0.918[52]OK5057.814505.2OK验算0.918[52]OK2162.314505.2OK验算0.936[53]OK5574.014425.4OK验算0.936[53]OK2570.214425.4OK验算0.954[54]OK6121.715942.7OK验算0.954[54]OK2989.315942.7OK跳过0.973[55]OK6700.315923.9OK验算0.973[55]OK3381.015923.9OK跳过0.989[55]OK7235.816305.3OK验算0.989[55]OK3741.415403.6OK跳过1.000[56]OK0.016522.6OK跳过1.000[56]OK0.016522.6OK跳过结论：箱梁的抗弯承载能力验算满足规范要求。（7）、箱梁抗扭承载能力验算按照新《公桥规》第5.5.3、5.5.4条规定，对主梁截面进行抗扭承载能力验算，其验算结果见表。箱梁抗扭承载能力验算验算位置结果rTd

(kN.m)Tn

(kN.m)rVd

(kN)Vn

(kN)截面验算抗扭验算0.000[1]OK-0.0144801.990.009441.41OK跳过0.000[1]OK0.0040575.820.0010621.59OK跳过0.000[1]OK0.0041433.470.0010382.08OK跳过0.011[2]OK4207.7344583.201528.198132.21OK跳过0.011[2]OK1146.2940575.821594.039089.91OK跳过0.011[2]OK-52.8940575.82270.699089.91OK跳过0.028[3]OK-6684.0541156.696557.848708.47OK验算0.028[3]OK143.2240575.823413.3