坪山大道西山立交主线1号桥右幅桥梁结构设计计算书

坪山大道(西山立交）主线1号桥右幅桥梁结构设计计算书工程编号：主线右侧桥梁计算书PAGE52一、计算资料坪山大道（西山立交）工程主线1号桥右幅桥共计7联桥，现浇混凝土梁共6联，标准桥面布置：0.5m（防撞栏杆）+12（15.5）m（车行道）+0.5m（防撞栏杆），各联桥跨布置及桥梁形式如下：（1）第一联：0~3轴，桥跨布置为：35+35+35m，等截面预应力混凝土现浇箱梁，单箱双室截面，梁高1.9m。因与左幅第一联相同，故设计计算同左幅，不在本计算书中列出。（2）第二联：3~7轴，桥跨布置为：35+35+35+35m，等截面预应力混凝土现浇箱梁，单箱双室截面，梁高1.9m。（3）第三联：7~10轴，钢桥，不在本计算书内。（4）第四联：10~13轴，桥跨布置为：31.5+33.5+40m，等截面预应力混凝土现浇箱梁，单箱双室截面，梁高2.2m。（5）第五联：13~16轴，桥跨布置为：33+35.5+33m，等截面预应力混凝土现浇箱梁，单箱双室截面，梁高2.2m。（6）第六联：16~19轴，桥跨布置为：29.712+31.002+23.462m，变宽等高截面预应力混凝土现浇箱梁，单箱3~5室截面，梁高1.9m。（7）第七联：19~21轴，桥跨布置为：30+30m，等截面预应力混凝土现浇箱梁，单箱三室截面，梁高1.7m。桥梁上部结构混凝土梁均按部分预应力A类构件设计。计算荷载：城市—A级，人群4.0KN/㎡12m宽车行道按3列车队布置，横向折减系数0.78,另考虑活载的不均匀性，计入偏载系数1.2，合计3×0.78×1.2=2.808。15.5m宽车道按4列车队布置，横向折减系数0.67,另考虑活载的不均匀性，计入偏载系数1.2，合计4×0.67×1.2=3.216。材料性能参数混凝土C50弹性模量：3.45×104MPa容重：26.0kN/m3线膨胀系数：1.0×10-5泊松比：0.2强度标准值：fck＝32.4MPa；ftk＝2.65MPa强度设计值：fcd＝22.4MPa；ftd＝1.83MPa预应力钢绞线采用1×7标准型-15.2-1860-Ⅱ-GB/T5224-1995钢绞线抗拉标准强度：fpk＝1860Mpa，抗拉设计强度：fpd＝1260Mpa弹性模量1.95×105Mpa容重：78.5kN/m3线膨胀系数：1.2×10-5，泊松比：0.3张拉控制应力：σcon＝0.72fpk（≤0.75fpk）＝0.72×1860＝1339Mpa管道摩阻系数：μ＝0.17局部偏差系数：κ＝0.0015锚具变形、钢筋回缩和接缝压缩值合计：12mm（两端张拉）松弛系数：ζ＝0.3（低松弛）普通钢筋纵向抗拉普通钢筋采用HRB400钢筋，其强度指标为抗拉标准强度：fsk＝400Mpa，抗拉设计强度：fpk＝360Mpa弹性模量2.0×105Mpa箍筋及构造钢筋采用HPB300钢筋，其强度指标为抗拉标准强度：fsk＝300Mpa，抗拉设计强度：fpk＝270Mpa弹性模量2.1×105Mpa计算依据（1）《公路桥涵设计通用规范》（JTGD60-2015）（2）《公路工程技术标准》（JTGB01-2014）（3）《城市桥梁设计规范》（CJJ11-2011）（4）《公路钢筋混凝土及预应力混凝土桥涵设计规范》（JTG3362-2018）计算软件“桥梁博士”3.1.0桥梁分析软件，均采用平面杆系单元分析。二、结构计算相关参数恒荷载(1)一期恒载：由软件自动计算(2)桥面系自重（二期恒载）桥面铺装：80mmSMA沥青+80mm整体砼浇层：0.08×25+0.08×24=3.92KN/㎡。单侧防撞支墩：0.257×25=6.43KN/m。单侧防撞栏杆+防抛网=2.26KN/m。按9.0KN/m，单侧计算。(3)混凝土收缩徐变：考虑10年（3650天）活荷载2.1汽车冲击系数计算汽车冲击力系数参考《公路桥涵设计通用规范》（JTGD60-2015）第4.3.2条，应该按照结构基本频率计算。当f<1.5Hz时， μ=0.05当1.5Hz≤f≤14Hz时， μ=0.1767lnf-0.0157当f>14Hz时， μ=0.45连续梁桥可按下列公式进行计算结构基频f(Hz)：其中：L--结构的计算跨径(m)；E--结构材料的弹性模量(N/m2),E=3.45×1010N/m2Ic--结构跨中截面的截面惯性矩(m4)；mc--结构跨中处的单位长度质量(kg/m)；各桥梁冲击系数取值如下：桥号L(m)Ic(m4)A正弯矩自振频(Hz)正弯矩对应的冲击系数负弯矩自振频(Hz)负弯矩对应的冲击系数第二联（4*35）358.184.054.490.2507.800.347第四联（31.5+33.5+40）408.635.834.020.2306.980.328第五联（33+35.5+33）35.58.635.835.090.2728.860.370第六联（29.7+31.0+23.4）3110.85.475.790.29510.060.392第七联（2*30）3010.44.125.470.2849.490.382温度荷载根据连续梁的特点，本次计算考虑梯度温度的影响及均匀温差的影响，参照《公路桥涵设计通用规范》（JGJD60-2015）第4.3.10条取值，如下图所示（反温差为正温差乘以-0.5）；考虑整体升温25℃,降温25℃计算。温度梯度计算简图4．荷载组合组合一：承载能力极限状态基本组合（1）永久作用效应对结构承载力有利时1.2D+1.2PS+1.4M（判别组合）+1.4×0.8TPG（判别组合）（2）永久作用效应对结构承载力不利时1.0D+1.0PS+1.4M（判别组合）+1.4×0.8TPG（判别组合）组合二：正常使用极限状态频遇值组合1.0D+1.0PS+0.7/(1+u)M（判别组合）+0.8TPG（判别组合）组合三：正常使用极限状态准永久组合1.0D+1.0PS+0.4/(1+u)M（判别组合）+0.8TPG（判别组合）组合四：正常使用极限状态标准值组合1.0D+1.0PS+1.0M（判别组合）+1.0TPG（判别组合）注：D－恒载；PS－预应力；M－汽车荷载（已计入冲击系数）；TPG—梯度温度效应（包括顶板升温20℃和顶板降温-20℃）；μ－汽车冲击系数。三、第二联桥计算3.1．结构计算简图桥跨布置为：35+35+35+35m，单箱双室截面，梁高1.9m。主梁划分成120个单元，截面配筋18束16φ15.2，均按A类构件计算，计算简图如下所示：结构计算简图3.2模拟支点信息施工阶段支点节点水平刚性竖向刚性转动刚性一、二、三2120010一、二、三3191010一、二、三61110注：1表示具有刚性约束，0表示不具有约束3.3.施工阶段模拟施工阶段号施工内容时间（天）一现浇箱梁30二张拉预应力30三桥面铺装后收缩徐变36503.4.计算结果3.4.1.正常使用极限状态应力验算1.1频遇值效应组合计算结果第二联（4*35）频遇值效应组合计算结果频遇值组合下截面法向拉应力最小-0.9Mpa≥-1.855Mpa。1.2准永久效应组合计算结果第二联（4*35）准永久效应组合计算结果准永久组合下截面法向拉应力最小1.0Mpa≥0Mpa。1.3标准值组合计算结果第二联（4*35）标准值组合计算结果标准值组合下截面法向压应力最大12.2Mpa≤16.2Mpa。1.4主压及主拉应力验算第二联（4*35）主应力计算结果截面上缘为主压应力（标准组合），最大10.9MPa≤19.44Mpa，下缘为主拉应力（频遇值组合），最小-0.9≥-1.33Mpa。1.5钢束最大拉应力验算钢束号最大应力(Mpa)容许最大应力(Mpa)1-1.15E+03-1.21E+032-1.14E+03-1.21E+033-1.18E+03-1.21E+03可知各单元截面的法向应力、主应力及钢束的最大应力均满足规范关于A类预应力混凝土的要求。3.4.2.承载能力极限状态正截面强度验算2.1正截面强度验算最大抗力及对应内力图边跨跨中截面最大弯矩=64137KN·m，截面抗力=76404KN·m，中跨跨中截面最大弯矩=54190KN·m，截面抗力=76186KN·m，墩顶截面最大弯矩=-52011KN·m，截面抗力=-74778KN·m，可知正截面强度满足规范要求。2.2斜截面强度验算斜截面强度验算，截面抗剪钢筋按12φ（16+12）@100考虑。斜截面验算见下表。XV箍筋V预应力总抗力设计剪力VR/Vd满足尺寸0.5最大剪力-61513570-6151357-214.228712.38是是0.5最小剪力-61513570-6151357-1918.33206.748是是1最大剪力7690.62786.4104778311.11.261是是1最小剪力7690.62786.4104773971.32.638是是1.5最大剪力7379.12796.710175.87361.81.382是是1.5最小剪力7407.32796.710203.931723.217是是2最大剪力7381.42773.810155.26274.61.618是是2最小剪力7385.32786.310171.631743.205是是2.5最大剪力73482773.810121.85902.71.715是是2.5最小剪力7398.82786.310185.13168.63.214是是3最大剪力7302.62761.210063.85595.31.799是是3最小剪力7414.507414.53164.62.343是是3.5最大剪力6395.72748.59144.35312.41.721是是3.5最小剪力6395.82748.59144.31828.35.002是是4最大剪力6387.32761.19148.45180.31.766是是4最小剪力6387.32761.19148.41725.55.302是是4.5最大剪力6326.52773.79100.24895.91.859是是4.5最小剪力6325.22773.79098.91501.36.061是是5最大剪力6497.927999296.84622.52.011是是5最小剪力6502.327999301.31278.87.273是是5.5最大剪力6694.327999493.24351.42.182是是5.5最小剪力6700.127999499.11057.98.98是是6最大剪力6879.82769.79649.54084.82.362是是6最小剪力6886.42769.79656.1847.711.391是是6.5最大剪力7584.22714.510298.73820.32.696是是6.5最小剪力7584.22714.510298.7650.715.827是是7最大剪力7689.82560.310250.13557.92.881是是7最小剪力7689.82560.310250.1435.823.522是是7.5最大剪力7776.1238110157.13299.73.078是是7.5最小剪力7776.1238110157.1220.945.977是是8最大剪力7847.12120.19967.23045.83.272是是8最小剪力7847.12120.19967.210.3971.377是是8.5最大剪力7904.51949.49853.92796.33.524是是8.5最小剪力-7904.5-1949.4-9853.9-19650.284是是9最大剪力7948.11768.39716.42550.23.81是是9最小剪力-7948.1-1768.3-9716.4-399.324.335是是9.5最大剪力7979.513159294.52308.94.025是是9.5最小剪力-7979.7-1315-9294.6-603.115.41是是10最大剪力8001.21207.99209.12070.44.448是是10最小剪力-8001.3-1207.9-9209.2-803.311.464是是10.5最大剪力8018.49438961.41836.94.879是是10.5最小剪力-8018.4-943-8961.4-1006.38.905是是11最大剪力8028.4728.48756.81612.45.431是是11最小剪力7315.907315.9944.47.746是是11.5最大剪力8032.76198651.71389.26.228是是11.5最小剪力7434.307434.3773.29.615是是12最大剪力8033.5355.5838911857.08是是12最小剪力7540.607540.6600.312.562是是12.5最大剪力8033.6304.78338.3986.78.451是是12.5最小剪力7639.107639.1416.318.35是是13最大剪力8033.7152.48186788.410.383是是13最小剪力7726.207726.2227.234.008是是13.5最大剪力8033.750.88084.5592.613.644是是13.5最小剪力7799.707799.741.3188.661是是14最大剪力8033.808033.8396.820.247是是14最小剪力-7863.30-7863.3-143.854.672是是14.5最大剪力8033.908033.961.7130.202是是14.5最小剪力-7914.10-7914.1-331.323.888是是15最大剪力-80340-8034-132.760.52是是15最小剪力-7954.70-7954.7-521.115.265是是15.5最大剪力-8034.10-8034.1-327.224.554是是15.5最小剪力-7983.20-7983.2-713.511.188是是16最大剪力-8028.70-8028.7-518.615.483是是16最小剪力-8005.50-8005.5-906.98.827是是16.5最大剪力-8008.20-8008.2-705.211.355是是16.5最小剪力-8021.30-8021.3-1109.87.228是是17最大剪力-7976.80-7976.8-890.48.958是是17最小剪力-8029.80-8029.8-1315.26.105是是17.5最大剪力-7930.60-7930.6-1071.67.401是是17.5最小剪力-8032.50-8032.5-1525.85.265是是18最大剪力8032.608032.61089.87.371是是18最小剪力-8032.60-8032.6-1750.44.589是是18.5最大剪力8032.708032.7891.59.01是是18.5最小剪力-8032.70-8032.7-1974.94.067是是19最大剪力803308033694.411.569是是19最小剪力-80330-8033-2209.33.636是是19.5最大剪力8033.1148.28181.3498.616.409是是19.5最小剪力-8033.1-148.2-8181.3-2456.23.331是是20最大剪力8033.1396.78429.9302.827.838是是20最小剪力-8033.1-396.7-8429.9-2703.23.119是是20.5最大剪力-8033.2-594.7-8627.9-31.6272.744是是20.5最小剪力-8033.2-594.7-8627.9-3112.92.772是是21最大剪力-8033.3-792.3-8825.6-226.139.036是是21最小剪力-8033.3-792.3-8825.6-33562.63是是21.5最大剪力-8032.3-940.1-8972.3-420.921.318是是21.5最小剪力-8032.3-940.1-8972.3-3599.42.493是是22最大剪力-8021.5-1136.5-9158-61314.941是是22最小剪力-8021.6-1136.5-9158.1-38182.399是是22.5最大剪力-7998.9-1327-9326-806.811.56是是22.5最小剪力-7999.1-1327-9326.1-4036.82.31是是23最大剪力-7962.9-1676.7-9639.6-1002.19.619是是23最小剪力-7963.5-1676.7-9640.1-4271.12.257是是23.5最大剪力-7914.1-2198.1-10112.3-1198.38.439是是23.5最小剪力-7915.3-2198.1-10113.4-4528.52.233是是24最大剪力-7349.5-2705.1-10054.6-1388.17.243是是24最小剪力-7348.7-2705.1-10053.7-4788.52.1是是24.5最大剪力-7280.4-3132.7-10413-1584.56.572是是24.5最小剪力-7279.3-3132.7-10412-5052.12.061是是25最大剪力-7196.2-3599.1-10795.3-1783.36.054是是25最小剪力-7195-3599.1-10794.1-5319.22.029是是25.5最大剪力-7082.3-3861.7-10944-1985.45.512是是25.5最小剪力-7080.7-3861.7-10942.4-5574.91.963是是26最大剪力-6926.9-4062.8-10989.8-2192.75.012是是26最小剪力-6925.4-4062.8-10988.2-5819.61.888是是26.5最大剪力-6894.6-4434.5-11329.1-2255.25.023是是26.5最小剪力-6894-4434.5-11328.4-5892.61.922是是27最大剪力-7690.1-5046.8-12736.9-2456.75.185是是27最小剪力-7698.1-5046.8-12744.8-6128.12.08是是27.5最大剪力-7059.2-5438.2-12497.4-2634.54.744是是27.5最小剪力-6932.9-5444.1-12377-6607.71.873是是28最大剪力-6902.2-5704.5-12606.7-2839.44.44是是28最小剪力-6472.1-5745.4-12217.5-7147.21.709是否28.5最大剪力-6709.8-5917.4-12627.2-3046.74.145是是28.5最小剪力-5905.9-5616.2-11522.1-7694.71.497是否29最大剪力-6466.6-6115.6-12582.1-3254.43.866是是29最小剪力-7012-5888.3-12900.3-8173.31.578是是29.5最大剪力-6168-6371.9-12539.9-3463.43.621是是29.5最小剪力-6543.9-5694-12237.8-86651.412是否30最大剪力-7439.8-6522.3-13962.1-3677.43.797是是30最小剪力-2301618-5422.9-2307041-9004.5256.211是是30.5最大剪力-7464.5-6685.5-14150-3654.43.872是是30.5最小剪力-2377036-5326.6-2382363-9253.7257.45是是31最大剪力-7168.4-6558-13726.4-3884.33.534是是31最小剪力-2450118-4488.7-2454606-9510.4258.097是是31.5最大剪力-6283-6539.9-12822.8-4083.53.14是是31.5最小剪力-2380215-6698.8-2386914-9774.6244.196是是32最大剪力-6032.6-5679.2-11711.8-4320.92.71是是32最小剪力-2039030-2929.1-2041959-10046203.26是是32.5最大剪力-9263.6-3345.7-12609.3-5077.92.483是是32.5最小剪力-2091984-2200.6-2094184-10324.7202.832是是33最大剪力-2143396-1568.2-2144964-5758.4372.491是是33最小剪力-2143396-1568.2-2144964-10631.3201.76是是33.5最大剪力-2193383-1165.6-2194549-5968367.722是是33.5最小剪力-2193383-1165.6-2194549-10965.6200.131是是34最大剪力-2217888-817.7-2218706-6180359.013是是34最小剪力-2217888-817.7-2218706-11278196.729是是34.5最大剪力-2217750-233-2217983-6394.6346.853是是34.5最小剪力-2217750-233-2217983-11568.5191.727是是35最大剪力-22175930-2217593-6609.2335.532是是35最小剪力-22175930-2217593-11859186.997是是35.5最大剪力22174220221742210570209.785是是35.5最小剪力2217422022174225570.4398.075是是36最大剪力22172320221723210233.5216.665是是36最小剪力29731265747.829788745354.9556.289是是36.5最大剪力2192346021923469911.6221.191是是36.5最小剪力2192346021923465142.7426.302是是37最大剪力2141910021419109604.2223.018是是37最小剪力2141910021419104933.8434.133是是37.5最大剪力26411594441.126456009303.7284.359是是37.5最小剪力9625.12452.712077.84564.32.646是是38最大剪力2037253020372539010.2226.106是是38最小剪力5015.840629077.84016.32.26是是38.5最大剪力198282512.719828388723.9227.288是是38.5最小剪力5804.95003.610808.53699.42.922是是39最大剪力244774412.724477578445289.849是是39最小剪力6291.1515911450.13701.63.093是是39.5最大剪力2374603023746038173.7290.517是是39.5最小剪力6286.45247.611533.937043.114是是40最大剪力2299121022991217910.2290.653是是40最小剪力6297.55352.711650.23698.33.15是是40.5最大剪力2221389022213897654.3290.214是是40.5最小剪力6460.206460.23609.31.79是是41最大剪力2141171021411717406.1289.109是是41最小剪力6153.55620.711774.12518.94.674是是41.5最大剪力71885108.812296.86965.81.765是是41.5最小剪力6380.8546011840.92297.35.154是是42最大剪力7589.64998.512588.16465.31.947是是42最小剪力6585.95106.111691.92077.65.628是是42.5最大剪力6321.54990.311311.85935.71.906是是42.5最小剪力6790.74768.3115591850.96.245是是43最大剪力6783.34418.511201.75334.72.1是是43最小剪力6968.94426.711395.71630.96.987是是43.5最大剪力76374075.911712.94814.42.433是是43.5最小剪力7627.24075.911703.11450.38.07是是44最大剪力7744.63961.511706.14554.72.57是是44最小剪力7739.33961.511700.81245.19.397是是44.5最大剪力6766.63835.4106024508.92.351是是44.5最小剪力6769.23835.410604.61195.98.868是是45最大剪力6926.83687.210614.14239.92.503是是45最小剪力6929.13687.210616.4982.110.81是是45.5最大剪力7059.63393.210452.83976.72.629是是45.5最小剪力7061.73393.210454.9768.213.61是是46最大剪力7166.63018.5101853719.42.738是是46最小剪力7168.53018.510187558.118.252是是46.5最大剪力7253.7286910122.73467.82.919是是46.5最小剪力7255.7286910124.8349.628.959是是47最大剪力7328.225699897.23218.53.075是是47最小剪力7330.125699899.1143.868.846是是47.5最大剪力7904.52073.49977.82976.13.353是是47.5最小剪力-7903.7-2138.8-10042.6-80.8124.349是是48最大剪力7955.11665.49620.52731.33.522是是48最小剪力-7954.8-1665.4-9620.2-303.831.665是是48.5最大剪力7991.914099400.92490.23.775是是48.5最小剪力-7991.8-1409-9400.8-514.418.277是是49最大剪力8017.21123.29140.42253.64.056是是49最小剪力-8017.2-1123.2-9140.5-701.913.022是是49.5最大剪力8029.3946.98976.22019.54.445是是49.5最小剪力-8029.3-946.9-8976.2-885.810.133是是50最大剪力8031.5770.18801.61625.65.414是是50最小剪力-8031.5-770.1-8801.6-1236.87.117是是50.5最大剪力8026.8590.18616.91401.96.147是是50.5最小剪力7390.207390.2897.38.236是是51最大剪力8009.6413.38422.911857.108是是51最小剪力7510.207510.2722.910.389是是51.5最大剪力7980.1236.38216.4994.68.261是是51.5最小剪力7614.707614.7545.513.959是是52最大剪力7929.707929.7806.59.833是是52最小剪力7707.807707.8361.121.346是是52.5最大剪力7869.907869.9621.212.668是是52.5最小剪力7788.807788.8180.343.21是是53最大剪力7800.107800.143917.769是是53最小剪力-7860.20-7860.2-25.7306.065是是53.5最大剪力7721.507721.5258.529.876是是53.5最小剪力-7921.80-7921.8-228.134.736是是54最大剪力7628.107628.182.292.844是是54最小剪力-7972.60-7972.6-432.618.429是是54.5最大剪力-7512.90-7512.9-89.184.353是是54.5最小剪力-8007.20-8007.2-613.213.058是是55最大剪力-7374.50-7374.5-256.428.765是是55最小剪力-8024.60-8024.6-792.410.127是是55.5最大剪力-7673.10-7673.1-565.813.561是是55.5最小剪力-8031.30-8031.3-1121.57.161是是56最大剪力-7567.20-7567.2-737.410.262是是56最小剪力-8030.4-940.1-8970.4-1343.56.677是是56.5最大剪力-7443.30-7443.3-904.68.229是是56.5最小剪力-8019.5-1136.5-9156.1-1567.95.84是是57最大剪力7997.11402.69399.71082.18.687是是57最小剪力-7996.9-1402.6-9399.5-1811.45.189是是57.5最大剪力7961.41853.99815.2881.111.14是是57.5最小剪力-7960.8-1853.9-9814.6-20674.748是是58最大剪力7913.12426.810339.9678.315.244是是58最小剪力-7911.9-2426.8-10338.7-2320.84.455是是58.5最大剪力73542967.610321.5477.721.608是是58.5最小剪力-7354-2967.6-10321.5-2540.14.063是是59最大剪力7286.73157.410444.1272.538.33是是59最小剪力-7286.7-3157.4-10444.1-2769.63.771是是59.5最大剪力7199.8374610945.865.3167.697是是59.5最小剪力-7199.8-3746-10945.8-3027.63.615是是60最大剪力-7074.2-3893.4-10967.6-147.374.462是是60最小剪力-7075.9-3893.4-10969.3-3302.53.321是是60.5最大剪力-6903.9-4178-11081.9-365.330.34是是60.5最小剪力-6910.8-4178-11088.8-3570.93.105是是61最大剪力-6858.7-4304.1-11162.8-433.225.77是是61最小剪力-7668.1-4304.1-11972.2-3820.33.134是是61.5最大剪力-7627.2-4418.4-12045.6-644.518.69是是61.5最小剪力-7634.4-4418.4-12052.8-3886.43.101是是62最大剪力-6968.9-4769.3-11738.2-827.414.186是是62最小剪力-6957.2-4769.3-11726.5-4140.22.832是是62.5最大剪力-6790.7-5107.8-11898.6-1039.511.447是是62.5最小剪力-6777.2-5107.8-11885-4429.52.683是是63最大剪力-6585.9-5207.1-11792.9-1258.29.373是是63最小剪力-6575.2-5207.1-11782.2-4724.22.494是是63.5最大剪力-6950.2-4989.2-11939.4-2423.54.926是是63.5最小剪力-6371.7-5368.9-11740.6-5030.42.334是是64最大剪力-6772.9-5235-12007.9-2515.94.773是是64最小剪力-6146.1-5613.4-11759.6-5334.92.204是是64.5最大剪力-6774-5571.8-12345.8-2513.84.911是是64.5最小剪力-6187.6-6017.4-12205-5286.82.309是是65最大剪力-6775.2-5670.6-12445.8-2518.44.942是是65最小剪力-7213.1-5931.4-13144.6-60222.183是是65.5最大剪力-2375840-4839.4-2380679-3104766.983是是65.5最小剪力-6527.9-5543.7-12071.6-6699.51.802是是66最大剪力-2448943-4284.3-2453228-3286746.58是是66最小剪力-5544.1-4507.6-10051.7-7320.41.373是是66.5最大剪力-1983742-3452.3-1987195-3473.9572.029是是66.5最小剪力-1983742-3452.3-1987195-7810.4254.43是是67最大剪力-2038146-2694.2-2040840-3667.4556.479是是67最小剪力-2038146-2694.2-2040840-8084.8252.429是是67.5最大剪力-2091115-2134.8-2093250-3866.4541.396是是67.5最小剪力-2091115-2134.8-2093250-8366.4250.197是是68最大剪力-2142759-1568.2-2144327-4070.8526.759是是68最小剪力-2142759-1568.2-2144327-8677.7247.108是是68.5最大剪力-2193176-1165.6-2194342-4280.6512.623是是68.5最小剪力-2193176-1165.6-2194342-9018.6243.313是是69最大剪力-2975110-7080-2982190-4492.9663.76是是69最小剪力-2217970-817.7-2218788-9335.5237.672是是69.5最大剪力-2975145-6754.8-2981900-4707.6633.426是是69.5最小剪力-2217997-233-2218230-9628.5230.383是是70最大剪力-2974229-7291.7-2981521-4922.3605.72是是70最小剪力-2974229-7291.7-2981521-9921.4300.514是是可知斜截面强度满足规范要求。3.4.3.支座反力汇总墩台序号3（7）轴4（6）轴5号轴基本组合（KN)7.11E+0314.7E+0313.97E+03成桥恒载（KN)4.95E+0311.2E+0310.6E+033.4.4.钢束引伸量及钢束长度各钢束伸长量钢束号钢束曲线长度（m）左端引伸量（m）右端引伸量（m）合计（m）11390.4230.4230.84621390.4220.4220.84431390.4260.4260.852四、第四联桥计算4.1．结构计算简图桥跨布置为：31.5+33.5+40m，单箱双室截面，梁高2.2m。主梁划分成91个单元，截面配筋18束17φ15.2，均按A类构件计算，计算简图如下所示：结构计算简图4.2模拟支点信息施工阶段支点节点水平刚性竖向刚性转动刚性一、二、三2010一、二、三29010一、二、三58110一、二、三91010注：1表示具有刚性约束，0表示不具有约束4.3.施工阶段模拟施工阶段号施工内容时间（天）一现浇箱梁30二张拉预应力30三桥面铺装后收缩徐变36504.4.计算结果4.4.1.正常使用极限状态应力验算1.1频遇值效应组合计算结果第四联（31.5+33.5+40）频遇值效应组合计算结果频遇值组合下截面法向拉应力最小-0.9Mpa≥-1.855Mpa。1.2准永久效应组合计算结果第四联（31.5+33.5+40）准永久效应组合计算结果准永久组合下截面法向拉应力最小0.3Mpa≥0Mpa。1.3标准值组合计算结果第四联（31.5+33.5+40）标准值组合计算结果标准值组合下截面法向压应力最大12.8Mpa≤16.2Mpa。1.4主压及主拉应力验算第四联（31.5+33.5+40）主应力计算结果截面上缘为主压应力（标准组合），最大11.6MPa≤19.44Mpa，下缘为主拉应力（频遇值组合），最小-0.6≥-1.33Mpa。1.5钢束最大拉应力验算钢束号最大应力(Mpa)容许最大应力(Mpa)1-1.14E+03-1.21E+032-1.15E+03-1.21E+033-1.17E+03-1.21E+03可知各单元截面的法向应力、主应力及钢束的最大应力均满足规范关于A类预应力混凝土的要求。4.4.2.承载能力极限状态正截面强度验算2.1正截面强度验算最大抗力及对应内力图左边跨跨中截面最大弯矩=56860KN·m，截面抗力=91457KN·m，中跨跨中截面最大弯矩=51374KN·m，截面抗力=88777KN·m，右边跨跨中截面最大弯矩=82848KN·m，截面抗力=96816KN·m，墩顶截面最大弯矩=-43296KN·m，截面抗力=-89475KN·m，可知正截面强度满足规范要求。2.2斜截面强度验算斜截面强度验算，截面抗剪钢筋按12φ（16+12）@100考虑。斜截面验算见下表。XV箍筋V预应力总抗力设计剪力VR/Vd满足尺寸0.5最大剪力-10099152.70-10099152.7-225.944715.645是是0.5最小剪力-10099152.70-10099152.7-1905.65299.697是是1最大剪力12146.13917.416063.58195.31.96是是1最小剪力12146.13917.416063.538354.189是是1.5最大剪力12866.83928.2167957218.92.327是是1.5最小剪力12932.43930.6168632985.25.649是是2最大剪力128903933.216823.25941.32.832是是2最小剪力12899.23946.416845.62982.15.649是是2.5最大剪力12752.43933.216685.65503.13.032是是2.5最小剪力12918.63946.4168652979.25.661是是3最大剪力11083.13919.815002.95173.42.9是是3最小剪力129420129422975.54.35是是3.5最大剪力10951.93933.114884.94869.23.057是是3.5最小剪力12996.9012996.927474.731是是4最大剪力10758.63829.714588.34576.63.188是是4最小剪力10761.13829.714590.81196.812.192是是4.5最大剪力109923633.314625.34298.63.402是是4.5最小剪力10996.23633.314629.5977.414.967是是5最大剪力112033423.814626.84024.23.635是是5最小剪力11207.73423.814631.6761.819.207是是5.5最大剪力12188.73106.215294.93755.64.073是是5.5最小剪力12186.63106.215292.7552.227.696是是6最大剪力12377.62711.115088.73491.24.322是是6最小剪力12377.12711.115088.2331.245.554是是6.5最大剪力125462148.214694.23231.84.547是是6.5最小剪力125462148.214694.2116126.626是是7最大剪力12594.41916.514510.929764.876是是7最小剪力-12594.4-1916.5-14510.9-94.6153.367是是7.5最大剪力126301618.914248.92723.55.232是是7.5最小剪力-12630-1618.9-14248.9-303.746.918是是8最大剪力12651.51301.813953.32475.15.638是是8最小剪力-12651.5-1301.8-13953.3-512.727.217是是8.5最大剪力12660.3105813718.322296.154是是8.5最小剪力-12660.3-1058-13718.3-719.819.059是是9最大剪力12661.3685.313346.61986.56.719是是9最小剪力-12661.3-685.3-13346.6-938.914.215是是9.5最大剪力12661.3514.313175.61744.47.553是是9.5最小剪力-12661.3-514.3-13175.6-1159.711.361是是10最大剪力12661.334313004.31516.28.577是是10最小剪力11817.7011817.71209.79.769是是10.5最大剪力12661.3172.312833.61302.99.85是是10.5最小剪力11961.1011961.11030.911.603是是11最大剪力12661.3012661.31090.211.613是是11最小剪力12121.6012121.6850.614.25是是11.5最大剪力12661.3012661.3885.114.305是是11.5最小剪力12260.1012260.1664.918.44是是12最大剪力12661.3012661.3679.918.622是是12最小剪力12376.7012376.7470.826.29是是12.5最大剪力12660.9012660.9476.626.566是是12.5最小剪力12467.4012467.4272.945.692是是13最大剪力12643.6012643.6275.945.834是是13最小剪力12535.9012535.976.7163.479是是13.5最大剪力-12598.80-12598.8-89.8140.326是是13.5最小剪力-12587.40-12587.4-121104.019是是14最大剪力-12527.50-12527.5-283.744.155是是14最小剪力-12626.40-12626.4-320.939.353是是14.5最大剪力-124300-12430-474.526.195是是14.5最小剪力-12650.40-12650.4-523.824.152是是15最大剪力-12304.30-12304.3-66318.559是是15最小剪力-12660.30-12660.3-728.217.385是是15.5最大剪力-12139.40-12139.4-845.114.365是是15.5最小剪力-12661.30-12661.3-947.713.36是是16最大剪力-11927.30-11927.3-1022.811.661是是16最小剪力-12661.30-12661.3-1168.510.835是是16.5最大剪力-11677.50-11677.5-1195.19.771是是16.5最小剪力-12661.30-12661.3-1392.79.091是是17最大剪力12661.3237.812899.11294.49.966是是17最小剪力-12661.3-237.8-12899.1-16207.962是是17.5最大剪力12661.3532.313193.6108212.193是是17.5最小剪力-12661.3-532.3-13193.6-18487.139是是18最大剪力12661.3889.813551.1876.915.454是是18最小剪力-12661.3-889.8-13551.1-2081.86.509是是18.5最大剪力12661.31184.413845.7671.720.612是是18.5最小剪力-12661.3-1184.4-13845.7-2315.55.98是是19最大剪力12660.81683.814344.6468.130.643是是19最小剪力-12660.8-1683.8-14344.6-2565.85.591是是19.5最大剪力12644.32387.115031.4261.757.442是是19.5最小剪力-12644.5-2387.1-15031.5-2825.75.32是是20最大剪力-12602.6-2938.4-15540.9-116.5133.355是是20最小剪力-12603.4-2938.4-15541.7-3283.44.733是是20.5最大剪力-11802.8-3575.9-15378.7-320.348.015是是20.5最小剪力-11801.1-3575.9-15377.1-3530.94.355是是21最大剪力-11719.1-4233.3-15952.3-534.229.861是是21最小剪力-11717.3-4233.3-15950.6-3783.54.216是是21.5最大剪力-11604.4-5036-16640.4-749.222.21是是21.5最小剪力-11603.8-5036-16639.8-4061.84.097是是22最大剪力-11426.6-5815.2-17241.8-973.217.717是是22最小剪力-11431.4-5815.2-17246.6-4348.53.966是是22.5最大剪力-11168.2-6369.7-17537.9-1204.414.562是是22.5最小剪力-11180.2-6369.7-17549.9-46273.793是是23最大剪力-11138-6987.1-18125.1-1267.714.298是是23最小剪力-10839.4-7072.9-17912.3-4914.63.645是是23.5最大剪力-11469.9-7325.9-18795.8-1463.112.846是是23.5最小剪力-11457.4-7325.9-18783.3-4966.83.782是是24最大剪力-11283.3-7365-18648.4-1684.411.071是是24最小剪力-11293.1-7365-18658.1-5211.33.58是是24.5最大剪力-10992.2-7431.3-18423.4-1920.19.595是是24.5最小剪力-10917.6-7431.3-18348.9-5568.73.295是是25最大剪力-10555.5-7376.7-17932.1-2168.48.27是是25最小剪力-9721-7308.2-17029.2-6308.42.699是是25.5最大剪力-9937.4-7420-17357.3-2427.77.15是是25.5最小剪力-10644.4-6936.5-17580.8-6888.52.552是是26最大剪力-9880.3-7365.6-17245.9-2454.37.027是是26最小剪力-9508.2-6037.1-15545.2-7446.82.087是是26.5最大剪力-11221.3-7329.2-18550.5-2720.66.819是是26.5最小剪力-8601.2-4887.1-13488.3-7972.91.692是否27最大剪力-9776.7-6829.1-16605.8-29785.576是是27最小剪力-2998474.1-4492.6-3002966.7-8384.4358.162是是27.5最大剪力-8971.2-5944.8-14916-3237.74.607是是27.5最小剪力-3088042.1-3826.5-3091868.5-8671356.574是是28最大剪力-8424.5-5243.9-13668.4-3503.93.901是是28最小剪力-3175071.4-3058.1-3178129.5-8957.7354.793是是28.5最大剪力-7785.9-4505.6-12291.5-3781.23.251是是28.5最小剪力-3259751.1-2394.3-3262145.5-9260352.285是是29最大剪力-8845.8-5562.2-14407.9-3283.34.388是是29最小剪力-3342255.1-1654.4-3343909.5-9562.2349.7是是29.5最大剪力-8491.9-5011.9-13503.7-3472.33.889是是29.5最小剪力-3422743.5-1186.1-3423929.6-9879.5346.569是是30最大剪力-16407.2-1186.1-17593.3-4971.93.539是是30最小剪力-3501361.8-713.4-3502075.3-10196.8343.45是是30.5最大剪力-17089.2-238.1-17327.3-5547.23.124是是30.5最小剪力-3501388-238.1-3501626.1-10521.1332.82是是31最大剪力-3501391.30-3501391.3-5813.3602.302是是31最小剪力-4694637.6-8698.9-4703336.5-10845.4433.672是是31.5最大剪力-4695992.1-7147-4703139.1-6039.7778.707是是31.5最小剪力-4694637.6-8799.5-4703437.1-11169.7421.089是是32最大剪力3501390.803501390.89264.9377.919是是32最小剪力4695991.56219.14702210.64504.41043.915是是32.5最大剪力3501373.803501373.88928.4392.163是是32.5最小剪力3501373.803501373.84276.5818.756是是33最大剪力3501327.503501327.58591.8407.519是是33最小剪力3501327.503501327.54048.5864.842是是33.5最大剪力3422692.203422692.28272.3413.756是是33.5最小剪力3422692.203422692.23829.7893.722是是34最大剪力3342184.603342184.67952.7420.259是是34最小剪力3342184.603342184.63610.9925.584是是34.5最大剪力15801.12921.718722.97567.82.474是是34.5最小剪力3259654.403259654.43402.4958.036是是35最大剪力7423.6441111834.66886.31.719是是35最小剪力3174949.513.531749633194994.047是是35.5最大剪力9014.15632.314646.36155.72.379是是35.5最小剪力3087897.913.53087911.42997.61030.126是是36最大剪力10628.85814.416443.25563.82.955是是36最小剪力3831311.903831311.92801.21367.723是是36.5最大剪力11328.67105.218433.85180.73.558是是36.5最小剪力9113.25390.314503.526085.561是是37最大剪力9962.97265.517228.44791.43.596是是37最小剪力10499.56325.116824.52024.98.309是是37.5最大剪力10557.47461.618018.94458.34.042是是37.5最小剪力10508.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