预应力混凝土连续刚构桥(计算书)

朽木易折，金石可镂。千里之行，始于足下。第页/共页预应力混凝土延续刚构桥计算书课程名称：大跨度桥梁学院：土木与建造学院任课教师：/教授学生姓名学生学号：专业方向：建造与土木工程（桥梁与隧道工程）日期：2017年1月10日朽木易折，金石可镂。千里之行，始于足下。第页/共页目录TOC\o"1-2"\h\z\u一、基本信息 31.1工程概况 31.2技术标准 31.3主要规范 41.4结构概述 41.5主要材料及材料性能 61.6计算原则、内容及控制标准 6二、模型建立与分析 72.1计算模型 72.2主要钢筋布置图及材料用表 102.3截面特性及有效宽度 122.4荷载工况及荷载组合 12三、内力图 133.1内力图 13四、持久情况承载能力极限状态验算结果 504.1截面受压区高度 504.2正截面抗弯承载能力验算 504.3斜截面抗剪承载能力验算 504.4抗扭承载能力验算 514.5支反力计算 51五、持久情况正常使用极限状态验算结果 535.1结构正截面抗裂验算 535.2结构斜截面抗裂验算 53六、持久情况构件应力验算结果 546.1正截面混凝土法向压应力验算 546.2正截面受拉区钢筋拉应力验算 546.3斜截面混凝土的主压应力验算 55七、短暂情况构件应力验算结果 557.1短暂情况构件应力验算 55八、详细计算表格 55朽木易折，金石可镂。千里之行，始于足下。第页/共页一、基本信息本人学号，按照教学要求，设计的桥型主跨为128m（120+学号倒数第二位），桥宽为12.3m（12+学号倒数第一位/10）,施工主意采用悬臂浇筑。计算要求包括：考虑施工过程，计算恒载、活载、温度、温度梯度、支座沉降等作用下内力和组合内力，出计算书。图纸要求包括:计划布置图和上部结构普通构造图。1.1工程概况本设计采用85+128+85m三跨预应力混凝土延续刚构桥结构体系。两端悬臂长度均为85m，相应的悬臂根部梁高为7m，梁端梁高为2.7m。中跨跨中梁高2.7m。形成一个通航孔，桥面最大纵坡2.43℅。主梁截面所有使用单箱单室截面。下部结构基础分离采用明挖扩大基础及灌注混凝土，墩身为实腹长方形截面。本计划技术较先进，工艺要求较郑重，主梁上部结构施工主意采用悬臂浇筑。采用移动式挂篮作为主要施工设备，以桥墩为中央，对称地向两岸利用挂篮浇筑节段的混凝土，待混凝土达到要求强度后，便张拉预应力束，然后移动挂篮，举行下一节段施工。本计划属于超静定结构，该延续刚构桥既保持了延续梁无伸缩缝、行车平顺的优点，又保持了T构不须设大吨位支座的优点，同时避免了延续梁（存在暂时固结和体系转换）和T构（存在伸缩缝问题）两者的缺点，养护工作量小。此外，延续钢构施工稳固性好，减少或避免边跨梁端搭架合龙的难度。但此桥型对地基承载力的要求更高，若地基发生过大的不匀称沉降，延续梁可通过调节墩顶支座的高程，抵消下沉来补救，而延续刚构则做不到。当其主墩刚度过大时，中跨梁体因会产生过大的温差拉力而对结构受力不利。此外，梁墩联结处应力复杂也是延续刚构的一个缺点。1.2技术标准（1）主跨径：128m(此为桥墩中距)。（2）桥宽：12.3m（2×净5.5m（车行道）+0.9m（中央分隔带）+2×0.2m（及护栏）=12.3m）。（3）设计荷载：马路-Ⅰ级（汽车-超20级，挂车-120级）。（4）防撞栏杆：单侧按每延米9.0KN。（5）截面：主梁采用变截面单箱单室的箱形截面，桥墩采用实腹长方形截面。（6）桥面纵坡：左2.43℅，中0，右2.40℅。（7）桥面横坡：1.5℅，并适当设置路拱。（8）地质情况：河中为大范围紫红色砂岩。（9）墩高：40m。（10）桥墩形式：竖直双肢薄壁墩。（11）基础形式：刚性基础。1.3主要规范1)《马路钢筋混凝土及预应力混凝土桥涵设计规范》（JTGD62-2004）2)《马路桥涵设计通用规范》（JTGD60-2004）3)《马路工程技术标准》（JTGB01-2003）4)《马路桥梁抗震设计细则》（JTG/TB02-01-2008）5)《马路桥涵地基与基础设计规范》（JTGD63-2007）6)《城市桥梁设计规范》（CJJ11-2011）1.4结构概述1.4.1桥梁结构图示（如图1）图11.4.2桥梁主跨和边跨的拟定主跨按照教学要求径定位128m。对国内外已建成的延续刚构桥，边跨和主跨的跨径比值在0.5～0.692之间，大部分在0.55～0.58之间。采用0.664倍的中跨径，即85m，则全联跨径为：85+128+85=298m。1.4.3顺桥向梁的尺寸拟定大跨延续刚构桥主梁普通采用箱形截面，箱梁根部截面的高跨比普通为1/16～1/20，其中大部分为1/18左右，也有少数桥梁达到或低于1/20.跨中截面梁高通常为支点截面梁高的1/2.5～1/3.5，略小于延续梁的跨中梁高。支点处梁高：箱梁根部高跨比取1/18.29倍，即7m.跨中梁高：跨中截面梁高取支点梁高的1/2,59倍，即2.7m.梁底曲线：选用二次抛物线，以跨中梁底为原点，曲线方程为：Y=-0.X²以支点梁底为原点，曲线方程为;Y=-0.X²1.4.4桥墩尺寸拟定考虑延续刚构桥的桥墩与悬臂箱梁固结，需承受悬臂箱梁传来的轴向力及不平衡力矩，采用竖直双肢薄壁墩，墩宽B=8.1m,墩高H=1.8m。1.4.5箱梁尺寸拟定当跨径超过60m时，横截面多为箱形。而B=12.3m，采取单箱单室截面。如图2所示。图2截面构造图（1）顶板、底板厚度;箱梁根部底板厚度：普通约为墩顶梁高的1/10～1/12，取85cm。箱梁跨中底板厚度：取26cm。箱梁顶板厚度：箱梁断面顶板厚在全梁范围内一致取25cm。（2）箱梁腹板：腹板内无预应力束管道布置时可采用200mm；腹板内有预应力束管道布置时可采用250～300mm；腹板内有预应力束筋锚头时采用350mm。故本设计中采用腹板厚度为35cm。在大跨径桥中，为减少梁的自重弯矩，将腹板尽量减小为好，在支点处腹板厚度为满意剪应力与主拉应力要求时，可参照下式选用：t=0.02B（1+0.02L）。本设计中，B=12.3m，L=128m，故t=0.876m，而选用25cm腹板时，t=0.25×3×2=1.50m﹥0.876m，故可以。∑δ/B=1.5/12.3=1/8.2,不符合1/13～1/19.。δ/B=0.25/4.8=1/19.2,满意1/15～1/20.(3)其余各处详细尺寸：在墩上、中跨跨中、边跨跨中和桥的端部设横梁。故在边跨离根部42.5m处，中跨跨中、墩上、端部各设一道6.9m宽的横梁，并把单室扩为双室。截面构造如图3所示。1.4.6桥面铺装由《马路桥涵设计通用规范》（JTGD60-2004）第1.7.1条，桥面路缘内设置8cm厚沥青混凝土铺装层。1.4.7施工主意（1）主梁采用墩梁固结的挂篮悬臂浇筑施工。（2）桥墩采用液压爬模施工。（3）基础采用钢围囹浇筑混凝土。1.5主要材料及材料性能（1）箱梁混凝土：C50（2）桥墩钢筋混凝土：C30（3）基础混凝土：C20（4）预应力钢筋：采用抗拉强度标准值为1860MPa，公称直径d=15.2mm的低松弛高强度钢绞线。（5）非预应力钢筋：受力筋采用Ⅱ级HRB400级钢筋，非受力筋采用Ⅰ级HPB300级钢筋。1)混凝土表格SEQ表格\*ARABIC1混凝土表格强度等级弹性模量(MPa)容重EQ(kN/m3)线膨胀系数EQfck(MPa)EQftk(MPa)EQfcd(MPa)EQftd(MPa)C503450025.000.00001032.402.6522.401.83C303000025.000.00001020.102.0113.801.392)普通钢筋表格SEQ表格\*ARABIC2普通钢筋表格普通钢筋弹性模量(MPa)容重EQ(kN/m3)EQfsk(MPa)EQfsd(MPa)EQf'sd(MPa)R23521000076.98235195195HRB33520000076.98335280280HRB40020000076.98400330330KL40020000076.984003303303)预应力材料表格SEQ表格\*ARABIC3预应力材料表格预应力钢绞线弹性模量(MPa)张拉控制应力(MPa)孔道磨阻系数孔道偏差系数钢绞线松弛系数一端锚固回缩值(m)Bot19500000.3000.006601.00.00600Top19500000.2000.001001.00.006001.6计算原则、内容及控制标准1.6.1计算原则（1）汽车—超20级作用下各截面的最大弯矩汽车荷载偏载时的增大系数。活载偏载时的增大系数，习惯上有两种取值主意：一是将箱梁视未开口截面，按偏心压力法（刚性横梁法）求出边肋的横向分布系数，作为增大系数取值的根据；另一则是将活载产生的内力直接增大15%。本设计对汽车荷载偏安全地取前一种主意计算。（2）挂车-120级作用下各截面的最大弯矩及最大剪力验算时，平板挂车不考虑冲击力；由《马路桥涵设计通用规范》（JTGD60-2004）第2.3.5条之二可知，平板挂车在1桥梁全长内用一辆布载。挂车荷载偏载时的增大系数取15%考虑。（3）挂车荷载不与人群荷载及其他荷载同时浮上。1.6.2计算内容考虑施工过程，计算恒载、活载、温度、温度梯度、支座沉降等作用下内力和组合内力，出计算书。1.6.2控制标准（1）求汽车荷载冲击系数。按照《马路桥涵设计通用规范》（JTGD60-2004）第2.3.2条表2.3.2-1的规定，当荷载长度L在5m与45m之间时，冲击系数μ可按下式计算：μ=（45-L）×0.3/（45-5）=0.3375-0.0075L（2）各截面荷载内力组合由《通用规范》第4.1.2条，在按极限状态设计箱梁各截面时，应按组合Ⅰ（恒载+汽车荷载+人群荷载）及组合Ⅱ（恒载+挂车荷载）分离组合荷载，并选取相应的荷载安全系数，注重到荷载效应占总荷载效应不同比例时需考虑不同的提高系数。二、模型建立与分析2.1计算模型图3计算模型图1）节点数量：80；图4节点划分图示2）单元数量：75；图5单元划分图示3）边界条件数量：6支承分离为每个桥墩两个，边跨支点各一处；弹性衔接每个桥墩与主梁固结处各两个。图6边界条件4)施工阶段数量：16，施工阶段步骤如下：施工阶段1：CS1，持续时光12天；施工阶段9：CS9，持续时光12天；施工阶段2：CS2，持续时光12天；施工阶段10：CS10，持续时光12天；施工阶段3：CS3，持续时光12天；施工阶段11：CS11，持续时光12天；施工阶段4：CS4，持续时光12天；施工阶段12：CS12，持续时光12天；施工阶段5：CS5，持续时光12天；施工阶段13：CS13，持续时光30天；施工阶段6：CS6，持续时光12天；施工阶段14：CS14，持续时光15天；施工阶段7：CS7，持续时光12天；施工阶段15：CS15，持续时光30天；施工阶段8：CS8，持续时光12天；施工阶段16：CS16，持续时光10000天；图7施工阶段控制分析表格4施工阶段划分说明施工阶段施工天数/天施工内容说明CS112现浇墩顶主梁19、20、21、22、23、49、50、51、52、53单元CS212挂篮悬臂浇筑18，24,48,54单元CS312挂篮悬臂浇筑17,25,47,55单元CS412挂篮悬臂浇筑16,26,46,56单元CS512挂篮悬臂浇筑15,27,45,57单元CS612挂篮悬臂浇筑14,28,33,58单元CS712挂篮悬臂浇筑13,29,43,59单元CS812挂篮悬臂浇筑12,30,42,60单元CS912挂篮悬臂浇筑11,31,41,61单元CS1012挂篮悬臂浇筑10,32,40,62单元CS1112挂篮悬臂浇筑9,33,39,63单元CS1212挂篮悬臂浇筑8,34,38,64单元CS1330挂篮悬臂浇筑7,35,37,65单元CS1415左边跨合龙CS1530右边跨合龙CS161000中跨合龙，现浇防撞栏杆和桥面铺装，考虑收缩徐变影响2.2主要钢筋布置图及材料用表（1）预应力钢束特征值图8.1钢束特征值图8.2钢束特征值表格5预应力钢绞线弹性模量(MPa)张拉控制应力(MPa)孔道磨阻系数孔道偏差系数钢绞线松弛系数一端锚固回缩值(m)15-1919500013950.2500.001500.30.0060015-1519500013950.2500.001500.30.00600 （1）预应力钢束布置图2.3截面特性及有效宽度1)截面特性表格6:桥墩A(m2)Asy(m2)Asz(m2)z(+)(m)z(-)(m)14.58012.15012.1500.9000.900Ixx(m4)Iyy(m4)Izz(m4)y(+)(m)y(-)(m)13.5423.93779.7164.0504.0502．4荷载工况及荷载组合1)自重自重系数：-1.002）二期恒载二期恒载由两侧防撞护栏及桥面铺装组成，计算后取值：75KN/m。3)整体升降温温度降温：-20.00（[C]）温度升温：20.00（[C]）4）梁截面温度表7梯度升温（单元11）序号宽度(m)到箱梁顶距离(m)温度([C])112.300.00-12.50212.300.18-3.40表8梯度降温（单元11）序号宽度(m)到箱梁顶距离(m)温度([C])112.300.0025.00212.300.186.705)徐变收缩收缩龄期：3天;构件理论厚度：1m；理论厚度自动计算：由程序自动计算各构件的理论厚度。公式为：EQh＝a×Ac／u；EQu＝L0＋a×Li；收缩龄期：3天;构件理论厚度：1m；理论厚度自动计算：由程序自动计算各构件的理论厚度。公式为：EQh＝a×Ac／u；EQu＝L0＋a×Li；6)支座沉降按照每个地基及基础的最大沉降量的最不利的荷载组合举行计算。第1组不匀称沉降-0.005m；第2组不匀称沉降-0.005m；7)可变荷载活载：汽车荷载，桥梁等级为马路Ⅰ级；对于汽车荷载纵向整体冲击系数μ，按照《马路桥涵通用设计规范》第4.3.2条，冲击系数μ可按下式计算：EQ当f＜1.5Hz时，μ＝0.05；EQ当1.5Hz≤f≤14Hz时，μ＝0.1767ln(f)－0.0157；EQ当f＞14Hz时，μ＝0.45；按照规范，计算的结构基频f=0.48Hz，冲击系数μ=0.050。三、内力图3.1内力图（1）恒载内力计算1）一期恒载内力值如表9.1所示，弯矩和剪力图如图9.1，图9.2所示。表格9.1一期恒载内力值单元荷载位置轴向(kN)剪力-y(kN)剪力-z(kN)扭矩(kN*m)弯矩-y(kN*m)弯矩-z(kN*m)1一期恒载I[1]15.470-5677.860001一期恒载J[2]15.470-5079.4010757.302一期恒载I[2]00-5079.42010757.302一期恒载J[3]00-3807.7029642.4503一期恒载I[3]00-3807.7029642.4503一期恒载J[4]00-2535.99043122.7904一期恒载I[4]00-2535.99043122.7904一期恒载J[5]00-1264.27051198.3405一期恒载I[5]00-1264.27051198.3405一期恒载J[6]007.45053869.0806一期恒载I[6]007.45053869.0806一期恒载J[7]00605.9053255.7307一期恒载I[7]00605.9053255.7307一期恒载J[8]002027.24047002.0208一期恒载I[8]-19.0202027.15047002.0208一期恒载J[9]-31.8603464.02033967.3409一期恒载I[9]-53.403463.76033967.3409一期恒载J[10]-75.4804925.49014052.86010一期恒载I[10]-107.704924.9014052.86010一期恒载J[11]-14006423.90-12889.6011一期恒载I[11]-183.906422.790-12889.6011一期恒载J[12]-227.807971.450-47067.7012一期恒载I[12]-285.107969.610-47067.7012一期恒载J[13]-342.209580.290-88748.2013一期恒载I[13]-414.209577.440-88748.2013一期恒载J[14]-486.7011262.480-138257014一期恒载I[14]-575.5011258.290-138257014一期恒载J[15]-665.6013029.980-195980015一期恒载I[15]-767.4013024.370-195980015一期恒载J[16]-877.6014894.970-262361016一期恒载I[16]-1001014887.210-262361016一期恒载J[17]-1134016868.940-337905017一期恒载I[17]-1276016858.770-337905017一期恒载J[18]-1435018963.780-423175018一期恒载I[18]-1596018950.910-423175018一期恒载J[19]-1785021191.330-518794019一期恒载I[19]-1948021176.920-518794019一期恒载J[20]-2132023177.210-607840020一期恒载I[20]0023275.090-607840020一期恒载J[21]0023739.440-628997021一期恒载I[21]114.290-142350-624723021一期恒载J[22]114.290-120680-569487022一期恒载I[23]148.83022202.090-546911022一期恒载J[22]148.83022666.430-567102023一期恒载I[24]-1703020121.720-462103023一期恒载J[23]-1887022122.020-546911024一期恒载I[25]-1359017893.880-371524024一期恒载J[24]-1547020134.30-462105025一期恒载I[26]-1048015799.780-291299025一期恒载J[25]-1207017904.790-371525026一期恒载I[27]-781.3013826.350-220806026一期恒载J[26]-914.4015808.070-291300027一期恒载I[28]-556.8011961.750-159481027一期恒载J[27]-666.9013832.350-220806028一期恒载I[29]-374.6010193.870-106822028一期恒载J[28]-464.7011965.550-159482029一期恒载I[30]-219.508511.650-62380.8029一期恒载J[29]-292010196.690-106823030一期恒载I[31]-98.2106902.420-25774.1030一期恒载J[30]-155.408513.10-62382.2031一期恒载I[32]-4.5905354.3303325.43031一期恒载J[31]-48.506902.990-25775.4032一期恒载I[33]64.4203855.26025184.66032一期恒载J[32]32.105354.2603324.14033一期恒载I[34]111.5702393.05040011.43033一期恒载J[33]89.4803854.78025183.42034一期恒载I[35]139.56-4.07955.4687.2747953.72-1494.9734一期恒载J[34]126.72-4.072392.3487.2740009.77-1475.6135一期恒载I[36]148.8315.1-242.673.3849378.43-526.2735一期恒载J[35]148.8315.1954.243.3847955.3-586.6737一期恒载I[37]148.8316.56625.89-2.9248726.28-461.2237一期恒载J[38]148.8316.561822.8-2.9243828.91-527.4638一期恒载I[38]130.2512.581823.8851.7843827.02-1322.3638一期恒载J[39]117.4112.583260.7651.7831757.82-1382.1239一期恒载I[39]97.8803261.36031758.95039一期恒载J[40]75.804723.09012805.94040一期恒载I[40]46.4304723.46012806.55040一期恒载J[41]14.1106222.460-13178.9041一期恒载I[41]-26.4106222.440-13178.3041一期恒载J[42]-70.3207771.10-46403.9042一期恒载I[42]-124.107770.420-46403.4042一期恒载J[43]-181.309381.090-87136.2043一期恒载I[43]-248.809379.550-87135.7043一期恒载J[44]-321.2011064.570-135702044一期恒载I[44]-412.1011061.540-135702044一期恒载J[45]-502.1012833.220-192488045一期恒载I[45]-600.7012829.070-192486045一期恒载J[46]-710.8014699.660-257937046一期恒载I[46]-830014693.40-257937046一期恒载J[47]-963.1016675.120-332556047一期恒载I[47]-1101016666.560-332556047一期恒载J[48]-1260018771.560-416906048一期恒载I[48]-1417018760.370-416906048一期恒载J[49]-1606021000.780-511611049一期恒载I[49]-1742020989.760-511611049一期恒载J[50]-1927022990.020-599892050一期恒载I[50]148.83023070.530-599892050一期恒载J[51]148.83023534.870-620864051一期恒载I[51]120.2204071.490-621884051一期恒载J[52]120.2206238.430-643535052一期恒载I[53]0023489.040-625385052一期恒载J[52]0023953.380-646734053一期恒载I[54]-1969021389.850-535483053一期恒载J[53]-2153023390.150-625385054一期恒载I[55]-1614019164.130-438848054一期恒载J[54]-1802021404.550-535483055一期恒载I[56]-1292017072.130-352562055一期恒载J[55]-1451019177.140-438848056一期恒载I[57]-1015015100.680-276002056一期恒载J[56]-1148017082.40-352562057一期恒载I[58]-780013237.950-208604057一期恒载J[57]-890.1015108.550-276002058一期恒载I[59]-590.4011471.750-149865058一期恒载J[58]-680.5013243.440-208604059一期恒载I[60]-428.909790.970-99339.7059一期恒载J[59]-501.3011475.990-149865060一期恒载I[61]-297.508183.260-56643060一期恒载J[60]-354.709793.940-99339.7061一期恒载I[62]-193.706636.560-21448.6061一期恒载J[61]-237.608185.220-56643062一期恒载I[63]-115.105138.7606510.31062一期恒载J[62]-147.406637.750-21448.6063一期恒载I[64]-58.603677.68027441.15063一期恒载J[63]-80.6805139.4106510.31064一期恒载I[65]-22.1302241.1041492.2064一期恒载J[64]-34.9703677.98027441.15065一期恒载I[66]00819.88048762.28065一期恒载J[65]002241.21041492.2066一期恒载I[66]00-819.88048762.28066一期恒载J[67]00-221.42049803.58067一期恒载I[67]00-221.42049803.58067一期恒载J[68]001050.3048042.23068一期恒载I[68]001050.3048042.23068一期恒载J[69]002322.01040876.07069一期恒载I[69]002322.01040876.07069一期恒载J[70]003593.73028305.11070一期恒载I[70]003593.73028305.11070一期恒载J[71]004865.45010329.35071一期恒载I[71]004865.45010329.35071一期恒载J[72]005463.900072一期恒载I[73]-379740-114.290-4694.06072一期恒载J[74]-569280-114.290-122.52073一期恒载I[75]-105980-34.540-2506.25073一期恒载J[76]-295520-34.540-1124.47074一期恒载I[77]-19463028.6101120.35074一期恒载J[78]-38417028.610-24.01075一期恒载I[79]-301920120.2203640.56075一期恒载J[80]-491460120.220-1168.4076一期恒载I[36]148.830242.67049384.33076一期恒载J[37]148.830625.89048732.910图9.1一期恒载弯矩图图9.2一期恒载剪力图2）二期恒载内力值如表9.2所示，弯矩和剪力图如图9.3，图9.4所示。表格9.2二期恒载内力值单元荷载位置轴向(kN)剪力-y(kN)剪力-z(kN)扭矩(kN*m)弯矩-y(kN*m)弯矩-z(kN*m)1二期恒载I[1]15.470-5677.860001二期恒载J[2]15.470-5079.4010757.302二期恒载I[2]00-5079.42010757.302二期恒载J[3]00-3807.7029642.4503二期恒载I[3]00-3807.7029642.4503二期恒载J[4]00-2535.99043122.7904二期恒载I[4]00-2535.99043122.7904二期恒载J[5]00-1264.27051198.3405二期恒载I[5]00-1264.27051198.3405二期恒载J[6]007.45053869.0806二期恒载I[6]007.45053869.0806二期恒载J[7]00605.9053255.7307二期恒载I[7]00605.9053255.7307二期恒载J[8]002027.24047002.0208二期恒载I[8]-19.0202027.15047002.0208二期恒载J[9]-31.8603464.02033967.3409二期恒载I[9]-53.403463.76033967.3409二期恒载J[10]-75.4804925.49014052.86010二期恒载I[10]-107.704924.9014052.86010二期恒载J[11]-14006423.90-12889.6011二期恒载I[11]-183.906422.790-12889.6011二期恒载J[12]-227.807971.450-47067.7012二期恒载I[12]-285.107969.610-47067.7012二期恒载J[13]-342.209580.290-88748.2013二期恒载I[13]-414.209577.440-88748.2013二期恒载J[14]-486.7011262.480-138257014二期恒载I[14]-575.5011258.290-138257014二期恒载J[15]-665.6013029.980-195980015二期恒载I[15]-767.4013024.370-195980015二期恒载J[16]-877.6014894.970-262361016二期恒载I[16]-1001014887.210-262361016二期恒载J[17]-1134016868.940-337905017二期恒载I[17]-1276016858.770-337905017二期恒载J[18]-1435018963.780-423175018二期恒载I[18]-1596018950.910-423175018二期恒载J[19]-1785021191.330-518794019二期恒载I[19]-1948021176.920-518794019二期恒载J[20]-2132023177.210-607840020二期恒载I[20]0023275.090-607840020二期恒载J[21]0023739.440-628997021二期恒载I[21]114.290-142350-624723021二期恒载J[22]114.290-120680-569487022二期恒载I[23]148.83022202.090-546911022二期恒载J[22]148.83022666.430-567102023二期恒载I[24]-1703020121.720-462103023二期恒载J[23]-1887022122.020-546911024二期恒载I[25]-1359017893.880-371524024二期恒载J[24]-1547020134.30-462105025二期恒载I[26]-1048015799.780-291299025二期恒载J[25]-1207017904.790-371525026二期恒载I[27]-781.3013826.350-220806026二期恒载J[26]-914.4015808.070-291300027二期恒载I[28]-556.8011961.750-159481027二期恒载J[27]-666.9013832.350-220806028二期恒载I[29]-374.6010193.870-106822028二期恒载J[28]-464.7011965.550-159482029二期恒载I[30]-219.508511.650-62380.8029二期恒载J[29]-292010196.690-106823030二期恒载I[31]-98.2106902.420-25774.1030二期恒载J[30]-155.408513.10-62382.2031二期恒载I[32]-4.5905354.3303325.43031二期恒载J[31]-48.506902.990-25775.4032二期恒载I[33]64.4203855.26025184.66032二期恒载J[32]32.105354.2603324.14033二期恒载I[34]111.5702393.05040011.43033二期恒载J[33]89.4803854.78025183.42034二期恒载I[35]139.56-4.07955.4687.2747953.72-1494.9734二期恒载J[34]126.72-4.072392.3487.2740009.77-1475.6135二期恒载I[36]148.8315.1-242.673.3849378.43-526.2735二期恒载J[35]148.8315.1954.243.3847955.3-586.6737二期恒载I[37]148.8316.56625.89-2.9248726.28-461.2237二期恒载J[38]148.8316.561822.8-2.9243828.91-527.4638二期恒载I[38]130.2512.581823.8851.7843827.02-1322.3638二期恒载J[39]117.4112.583260.7651.7831757.82-1382.1239二期恒载I[39]97.8803261.36031758.95039二期恒载J[40]75.804723.09012805.94040二期恒载I[40]46.4304723.46012806.55040二期恒载J[41]14.1106222.460-13178.9041二期恒载I[41]-26.4106222.440-13178.3041二期恒载J[42]-70.3207771.10-46403.9042二期恒载I[42]-124.107770.420-46403.4042二期恒载J[43]-181.309381.090-87136.2043二期恒载I[43]-248.809379.550-87135.7043二期恒载J[44]-321.2011064.570-135702044二期恒载I[44]-412.1011061.540-135702044二期恒载J[45]-502.1012833.220-192488045二期恒载I[45]-600.7012829.070-192486045二期恒载J[46]-710.8014699.660-257937046二期恒载I[46]-830014693.40-257937046二期恒载J[47]-963.1016675.120-332556047二期恒载I[47]-1101016666.560-332556047二期恒载J[48]-1260018771.560-416906048二期恒载I[48]-1417018760.370-416906048二期恒载J[49]-1606021000.780-511611049二期恒载I[49]-1742020989.760-511611049二期恒载J[50]-1927022990.020-599892050二期恒载I[50]148.83023070.530-599892050二期恒载J[51]148.83023534.870-620864051二期恒载I[51]120.2204071.490-621884051二期恒载J[52]120.2206238.430-643535052二期恒载I[53]0023489.040-625385052二期恒载J[52]0023953.380-646734053二期恒载I[54]-1969021389.850-535483053二期恒载J[53]-2153023390.150-625385054二期恒载I[55]-1614019164.130-438848054二期恒载J[54]-1802021404.550-535483055二期恒载I[56]-1292017072.130-352562055二期恒载J[55]-1451019177.140-438848056二期恒载I[57]-1015015100.680-276002056二期恒载J[56]-1148017082.40-352562057二期恒载I[58]-780013237.950-208604057二期恒载J[57]-890.1015108.550-276002058二期恒载I[59]-590.4011471.750-149865058二期恒载J[58]-680.5013243.440-208604059二期恒载I[60]-428.909790.970-99339.7059二期恒载J[59]-501.3011475.990-149865060二期恒载I[61]-297.508183.260-56643060二期恒载J[60]-354.709793.940-99339.7061二期恒载I[62]-193.706636.560-21448.6061二期恒载J[61]-237.608185.220-56643062二期恒载I[63]-115.105138.7606510.31062二期恒载J[62]-147.406637.750-21448.6063二期恒载I[64]-58.603677.68027441.15063二期恒载J[63]-80.6805139.4106510.31064二期恒载I[65]-22.1302241.1041492.2064二期恒载J[64]-34.9703677.98027441.15065二期恒载I[66]00819.88048762.28065二期恒载J[65]002241.21041492.2066二期恒载I[66]00-819.88048762.28066二期恒载J[67]00-221.42049803.58067二期恒载I[67]00-221.42049803.58067二期恒载J[68]001050.3048042.23068二期恒载I[68]001050.3048042.23068二期恒载J[69]002322.01040876.07069二期恒载I[69]002322.01040876.07069二期恒载J[70]003593.73028305.11070二期恒载I[70]003593.73028305.11070二期恒载J[71]004865.45010329.35071二期恒载I[71]004865.45010329.35071二期恒载J[72]005463.900072二期恒载I[73]-379740-114.290-4694.06072二期恒载J[74]-569280-114.290-122.52073二期恒载I[75]-105980-34.540-2506.25073二期恒载J[76]-295520-34.540-1124.47074二期恒载I[77]-19463028.6101120.35074二期恒载J[78]-38417028.610-24.01075二期恒载I[79]-301920120.2203640.56075二期恒载J[80]-491460120.220-1168.4076二期恒载I[36]148.830242.67049384.33076二期恒载J[37]148.830625.89048732.910图9.3二期恒载弯矩图图9.4二期恒载剪力图3）活载内力值如表10所示，弯矩和剪力包络图如图10.1，图10.2所示。表格10活载内力值单元荷载位置轴向(kN)剪力-y(kN)剪力-z(kN)扭矩(kN*m)弯矩-y(kN*m)弯矩-z(kN*m)1车辆荷载I[1]3.470-1512.08837.73001车辆荷载J[2]3.470-1432.38837.732624.9902车辆荷载I[2]00-1432.38864.442624.9902车辆荷载J[3]00-1269.55864.447502.503车辆荷载I[3]00-1269.55864.447502.503车辆荷载J[4]00-1116.27864.4411439.0204车辆荷载I[4]00-1116.27864.4411439.0204车辆荷载J[5]00-973.26864.4414460.0405车辆荷载I[5]00-973.26864.4414460.0405车辆荷载J[6]00-841.14864.4416603.8406车辆荷载I[6]00-841.14837.7316603.8406车辆荷载J[7]00-782.89837.7317323.2407车辆荷载I[7]00-782.89870.3717323.2407车辆荷载J[8]00717.72870.3718335.9508车辆荷载I[8]-5.550.13717.7869.8718335.957.768车辆荷载J[9]-6.760.13841.76870.818446.977.769车辆荷载I[9]-11.090.23841.71869.5418446.9713.129车辆荷载J[10]-13.090.23965.987117752.6913.1210车辆荷载I[10]-18.20.32965.8869.2217752.6918.7210车辆荷载J[11]-21.080.321089.11871.1216344.1818.7211车辆荷载I[11]-27.210.421088.94868.9116344.1824.6111车辆荷载J[12]-30.90.421210.81871.1314298.7624.6112车辆荷载I[12]-38.010.531210.56868.6114298.7630.8112车辆荷载J[13]-42.620.531330.78871.0311875.5830.8213车辆荷载I[13]-50.780.641330.44868.311875.5837.313车辆荷载J[14]-56.350.641449.05870.83-10805.5737.3314车辆荷载I[14]-65.740.751448.58867.97-10805.5744.0614车辆荷载J[15]-72.210.751565.76870.53-13422.9544.0915车辆荷载I[15]-83.110.861565.12867.6-13422.9551.0415车辆荷载J[16]-90.350.861681.12870.13-18261.6951.0716车辆荷载I[16]-102.220.961680.32867.18-18261.6958.1816车辆荷载J[17]-110.420.961795.36869.65-24059.6858.2217车辆荷载I[17]-123.471.061794.37866.7-24059.6865.4417车辆荷载J[18]-132.61.061908.69869.09-30644.165.4918车辆荷载I[18]-146.651.161907.5866.17-30644.172.7718车辆荷载J[19]-156.761.162021.31868.45-37985.0672.8319车辆荷载I[19]-170.231.042020.05857.07-37985.0678.8219车辆荷载J[20]-179.751.042115.58858.62-44729.8678.8720车辆荷载I[20]002124.37824.67-44729.86020车辆荷载J[21]002145.96824.67-46327.46021车辆荷载I[21]-161.4206406.81863.84-46608.52021车辆荷载J[22]-161.4206451.72863.84-51889.91022车辆荷载I[23]-333.6302271.65824.67-52878.3022车辆荷载J[22]-333.6302293.37824.67-54580.49023车辆荷载I[24]-479.441.042152.23857.07-45724.8178.8223车辆荷载J[23]-487.281.042249.12858.62-52878.378.8724车辆荷载I[25]-458.511.162039.63866.17-37885.4672.7724车辆荷载J[24]-467.031.162154.75868.45-45722.6572.8325车辆荷载I[26]-438.111.061927.03866.7-30766.7165.4425车辆荷载J[25]-445.761.062042.3869.09-37884.4665.4926车辆荷载I[27]-419.490.961814867.18-24383.4958.1826车辆荷载J[26]-426.30.961929.55869.65-30765.8158.2227车辆荷载I[28]-402.80.861700.37867.6-18744.1651.0427车辆荷载J[27]-408.780.861816.33870.13-24382.6851.0728车辆荷载I[29]-387.490.741586.2867.97-13862.1444.0628车辆荷载J[28]-392.650.741702.65870.53-18742.2544.0929车辆荷载I[30]-375.080.631471.09868.310908.6337.329车辆荷载J[29]-379.440.631588.08870.83-13861.0337.3330车辆荷载I[31]-364.240.531355.44868.6112104.3930.8130车辆荷载J[30]-367.840.531472.85871.0310909.1430.8231车辆荷载I[32]-355.230.421239.51868.9113320.9924.6131车辆荷载J[31]-358.110.421357.03871.1312105.1624.6132车辆荷载I[33]-347.80.321123.94869.2214534.9918.7232车辆荷载J[32]-349.990.321240.94871.1213322.0518.7233车辆荷载I[34]-341.970.231009.71869.5415874.8913.1233车辆荷载J[33]-343.510.231125.2187114536.4213.1234车辆荷载I[35]-337.640.13898.19869.8716824.317.7634车辆荷载J[34]-338.550.131010.82870.815877.997.7635车辆荷载I[36]-333.630808.13861.4717132.66035车辆荷载J[35]-333.630899.62861.4716820.52037车辆荷载I[37]-333.630808.07861.4717133037车辆荷载J[38]-333.630899.56861.4716818.76038车辆荷载I[38]-337.410.13898.21869.8716823.257.7638车辆荷载J[39]-338.320.131010.87870.815873.887.7639车辆荷载I[39]-341.520.231009.81869.5415871.9213.1239车辆荷载J[40]-343.050.231125.3387114526.9813.1240车辆荷载I[40]-347.150.321124.1869.2214526.3318.7240车辆荷载J[41]-349.340.321241.12871.1213310.1718.7241车辆荷载I[41]-354.470.421239.71868.9113309.7124.6141车辆荷载J[42]-357.350.421357.23871.1312093.1424.6242车辆荷载I[42]-363.340.531355.68868.6112092.8230.8142车辆荷载J[43]-366.940.531473.08871.0310898.630.8243车辆荷载I[43]-374.030.641471.36868.310898.437.343车辆荷载J[44]-378.390.641588.32870.83-13850.6337.3344车辆荷载I[44]-387.050.751586.33867.97-13851.2644.0644车辆荷载J[45]-392.20.751702.76870.53-18734.3644.0945车辆荷载I[45]-401.940.861700.58867.6-18735.7651.0445车辆荷载J[46]-407.920.861816.5870.13-24377.0151.0746车辆荷载I[46]-418.430.961814.25867.18-24377.0158.1846车辆荷载J[47]-425.240.961929.74869.65-30762.7158.2247车辆荷载I[47]-436.861.061927.31866.7-30762.7165.4447车辆荷载J[48]-444.521.062042.51869.09-37883.0365.4948车辆荷载I[48]-457.11.162039.93866.17-37883.0372.7748车辆荷载J[49]-465.621.162154.98868.45-45722.6272.8349车辆荷载I[49]-475.661.052153857.07-45722.6278.8249车辆荷载J[50]-483.51.052249.7858.62-52879.2678.8750车辆荷载I[50]-333.6302271.64824.67-52879.26050车辆荷载J[51]-333.6302293.36824.67-54581.52051车辆荷载I[51]-161.420-6450.36863.84-51889.83051车辆荷载J[52]-161.420-6405.46863.84-46571.59052车辆荷载I[53]002124.17824.67-44691.04052车辆荷载J[52]002145.76824.67-46288.18053车辆荷载I[54]-170.381.042019.82857.07-37947.3878.8253车辆荷载J[53]-179.841.042115.36858.62-44691.0478.8754车辆荷载I[55]-146.631.161907.26866.17-30608.8472.7754车辆荷载J[54]-156.741.162021.09868.45-37947.3872.8355车辆荷载I[56]-123.451.061794.11866.7-24027.7465.4455车辆荷载J[55]-132.581.061908.45869.09-30608.8465.4956车辆荷载I[57]-102.240.961680.04867.18-18233.9758.1856车辆荷载J[56]-110.430.961795.1869.65-24027.7458.2257车辆荷载I[58]-83.130.861564.82867.6-13422.9251.0457车辆荷载J[57]-90.350.861680.84870.13-18233.9751.0758车辆荷载I[59]-64.990.751448.3867.97-10809.4544.0658车辆荷载J[58]-71.840.751565.48870.53-13422.9244.0959车辆荷载I[60]-49.850.641330.14868.311900.5637.359车辆荷载J[59]-55.930.641448.75870.83-10809.4537.3360车辆荷载I[61]-37.160.531210.22868.6114327.2330.8160车辆荷载J[60]-42.290.531330.45871.0311900.5630.8261车辆荷载I[62]-26.540.421088.58868.9116371.1624.6161车辆荷载J[61]-30.680.421210.44871.1314327.2324.6162车辆荷载I[63]-17.730.32965.44869.2217777.1818.7262车辆荷载J[62]-20.960.321088.72871.1216371.1618.7263车辆荷载I[64]-10.730.23841.39869.5418468.0213.1263车辆荷载J[63]-13.050.23965.5387117777.1813.1264车辆荷载I[65]5.360.13717.45869.8718352.967.7664车辆荷载J[64]-6.770.13841.45870.818468.027.7665车辆荷载I[66]00-783.48870.3717336.13065车辆荷载J[65]00717.48870.3718352.96066车辆荷载I[66]00783.48837.7317336.13066车辆荷载J[67]00841.71837.7316615.09067车辆荷载I[67]00841.71864.4416615.09067车辆荷载J[68]00973.8864.4414468.11068车辆荷载I[68]00973.8864.4414468.11068车辆荷载J[69]001116.78864.4411444.31069车辆荷载I[69]001116.78864.4411444.31069车辆荷载J[70]001270.02864.447505.37070车辆荷载I[70]001270.02864.447505.37070车辆荷载J[71]001432.8864.442625.82071车辆荷载I[71]001432.8837.732625.82071车辆荷载J[72]001512.48837.730072车辆荷载I[73]-7027.20171.4804298.4072车辆荷载J[74]-7027.20171.480-2200.91073车辆荷载I[75]-7872.40182.9504609.24073车辆荷载J[76]-7872.40182.950-2321.74074车辆荷载I[77]-7871.40-182.950-4608.98074车辆荷载J[78]-7871.40-182.9502322.17075车辆荷载I[79]-7021.60-171.470-4297.96075车辆荷载J[80]-7021.60-171.4702201.28076车辆荷载I[36]-333.630-808.13831.7917121.43076车辆荷载J[37]-333.630808.07831.7917121.020图10.1车辆荷载弯矩包络图图10.2车辆荷载剪力包络图4）内力组合按照《桥规》规范要求决定效应组合设计值。基本组合：Sud=1.2恒载+1.4车辆荷载频遇组合：Sfd=恒载+0.7车辆荷载/（1+μ）准永远组合：Sqd=恒载+0.4车辆荷载/（1+μ）内力组合值分离如表11.1、11.2、11.3所示。表格11.1基本组合内力值单元荷载位置轴向(kN)剪力-y(kN)剪力-z(kN)扭矩(kN*m)弯矩-y(kN*m)弯矩-z(kN*m)1基本组合I[1]18.740-7212.411172.82001基本组合J[2]18.740-6548.411172.8213313.6102基本组合I[2]00-6548.441210.2113313.6102基本组合J[3]00-5146.581210.2136955.7803基本组合I[3]00-5146.581210.2136955.7803基本组合J[4]00-3758.11210.2154291.5204基本组合I[4]00-3758.11210.2154291.5204基本组合J[5]00-2383.981210.2165356.5105基本组合I[5]00-2383.981210.2165356.5105基本组合J[6]00-1025.121210.2170204.3406基本组合I[6]00-1025.121172.8270204.3406基本组合J[7]001538.121172.8270354.1307基本组合I[7]001538.121218.5270354.1307基本组合J[8]003021.71218.5265307.6908基本组合I[8]-26.59-0.193021.581217.8265307.69-10.878基本组合J[9]-40.130.194521.621219.1252739.52-10.879基本组合I[9]-66.95-0.324521.291217.3552739.5218.379基本组合J[10]-90.140.326044.451219.432693.3518.3710基本组合I[10]-127.93-0.456043.741216.932693.3526.2110基本组合J[11]-161.790.457600.061219.57-27613.126.2111基本组合I[11]-211.890.597598.781216.48-27613.134.4611基本组合J[12]-257.6-0.599198.931219.58-61028.2434.4612基本组合I[12]-321.380.749196.861216.06-61028.2443.1312基本组合J[13]-380.62-0.7410851.951219.44-101647.243.1513基本组合I[13]-459.54-0.8910848.81215.62-101647.252.2313基本组合J[14]-534.230.8912570.281219.17-150648.452.2614基本组合I[14]-630.511.0412565.71215.16-150648.461.6914基本组合J[15]-722.67-1.0414365.161218.74-208286.961.7315基本组合I[15]-833.16-1.214359.031214.64-208286.971.4515基本组合J[16]-944.981.216248.121218.19-277027.971.516基本组合I[16]-1076.31.3516239.771214.05-277027.981.4516基本组合J[17]-1210.7-1.3518230.111217.51-355569.781.5117基本组合I[17]-1361.51.4918219.251213.39-355569.791.6117基本组合J[18]-1521.2-1.4920322.41216.72-444190.291.6918基本组合I[18]-1690.61.6220308.751212.64-444190.2101.8818基本组合J[19]-1878.7-1.6222536.161215.83-543422.4101.9719基本组合I[19]-2049.71.46225211199.9-543422.4110.3519基本组合J[20]-22331.4624501.161202.06-635644110.4220基本组合I[20]0024604.421154.54-635644020基本组合J[21]0025063.271154.54-657540.8021基本组合I[21]399.080-26900.441209.38-650767.1021基本组合J[22]399.080-24837.291209.38-583182.4022基本组合I[23]709.64023365.571154.54-560765.1022基本组合J[22]709.64023824.611154.54-581507.8023基本组合I[24]-19781.4621300.821199.9-473615.3110.3523基本组合J[23]-2158.81.4623282.911202.06-560765.1110.4224基本组合I[25]-1633.31.6219084.711212.64-380404.8101.8824基本组合J[24]-1819.2-1.6221313.961215.83-473615.8101.9725基本组合I[26]-1319.91.4916991.841213.39-297768.891.6125基本组合J[25]-1477.5-1.4919096.311216.72-38040591.6926基本组合I[27]-1050.31.3515009.81214.05-225155.381.4526基本组合J[26]-1182.7-1.3517000.851217.51-297769.181.5127基本组合I[28]-822.09-1.213127.461214.64-162055.571.4527基本组合J[27]-932.131.215016.511218.19-225155.671.528基本组合I[29]-635.041.0411333.561215.16-108026.161.6928基本组合J[28]-725.37-1.0413131.991218.74-162056.561.7329基本组合I[30]-476.68-0.899617.721215.62-62696.7152.2329基本组合J[29]-549.680.8911336.931219.17-108026.952.2630基本组合I[31]494.750.747968.541216.06-26789.0543.1330基本组合J[30]441.96-0.749619.711219.44-62698.1443.1531基本组合I[32]578.560.596375.511216.4827414.2334.4631基本组合J[31]538.