《大跨桥梁工程》课程设计计算书

1、哈尔滨工业大学交通科学与工程学院大跨桥梁工程课程设计计算书姓名：周宝龙班级：0532102学号：1053210216指导教师：王宗林目录一设计基本资料.2二主梁构造及预应力布置3三设计计算.8(一)有限元模型建立.81.单元划分.82.钢束信息.83.施工信息.84.使用信息.13（二）施工阶段内力计算.141.计算图示.142.预应力损失及有效预应力.153.施工内力组合.194.施工正应力验算.295.最终恒载内力.36（三）成桥阶段内力计算.381.二期恒载.382.活载.393.桥面板日照温差.464.桥墩基础沉降.475.支座摩阻力.50（四）荷载内力计算.511.基本组合.512.

2、长期效应组合.533.短期效应组合.554.标准组合.57（五）应力及强度验算.591.应力验算.592.强度验算.73（六）桥面板横向计算79（七）腹板竖向计算79四课程设计小结.80悬臂施工预应力混凝土连续刚构桥计算一、设计基本资料（一）主要技术标准1、 结构形式：4跨预应力混凝土连续刚构桥：45+60+60+45m=210m；2、 设计荷载：公路-I级，人群荷载2.95kN/m*m。3、 桥面宽度：车行道宽度为12m，每边各设1.5m人行道，全桥总宽为15m。4、 桥面纵坡：0%；桥面横坡：0%。（二）材料1、 混凝土：混凝土标号为50号。2、 预应力筋：（1） 纵向预应力束采用F j1

3、5.24高强钢绞线，Ryb=1860MPa，E=1.95105MPa，计算面积为140mm2，破断力为260.7kN；顶板束采用19F j15.24钢绞线，连续束采用12F j15.24钢绞线；（2） 横向预应力采用24丝F5高强碳素钢丝，Ryb=1600MPa；（3） 竖向预应力采用冷拉III级（25锰硅）F28l粗钢筋，Ryb=530MPa；3、 普通钢筋：采用符合GB1499-84标准的钢筋，直径12mm者采用II级钢筋，直径12mm者采用I级钢筋。4、 锚具：采用OVM-15型锚固体系，内缩量为DL=6mm。管道采用F80mm的波纹管，管壁摩阻系数m=0.25，管道偏差系数k=0.00

4、08。5、 支座：盆式橡胶支座，支座摩擦系数为m = 0.05。（三）桥面铺装采用10cm防水混凝土加6cm沥青混凝土两层，其容重分别为：防水混凝土23kN/m3，沥青混凝土21kN/m3。（四）施工方法1、 中跨采用悬臂浇注法平衡对称施工，边跨部分采用满堂支架施工。零号块采用支架现浇施工。2、 挂篮参数：自重150吨，最大悬浇长度 5米，最大悬浇重 100吨。3、 采用吊篮进行合拢段施工，吊篮自重为50吨。4、 施工顺序：悬浇T墩1、2、3现浇两边跨合拢两边跨合拢两中跨；（五）设计规范1、公路桥涵设计通用技术规范(JTG D60-2004)；2、公路钢筋混凝土和预应力混凝土桥涵设计规范（JT

5、G D62-2004）。（六）计算基本数据1、 控制张拉力：纵向预应力为sk = 0.75Ryb，横向预应力为sk = 0.85Ryb，竖向预应力为sk = 0.95Ryb。2、 日照温差按桥面板升温10度计算。3、 桥面人行道板、栏杆的自重集度q2=19.0kN/m。4、 基础沉降量为0.012m。二、主梁构造及预应力束布置参见附图。附图1 主梁一般构造图附图2 预应力束一般构造图附图3 施工程序示意图- 80 -附图1 主梁一般构造图附图2 预应力束一般构造图附图3 施工程序示意图三、设计计算（一）建立有限元计算整体模型1、单元的划分与主梁阶段的划分保持一致，另外在边支点处考虑到支座安装的

6、影响，主梁共划分单元为：0.5+0.7+3*4.1+2*1.5(边跨合拢段)+3*5.0+2*4.5+3.5+2*1.0（桥墩处）+3.5+2*4.5+3*5.0+2*1.5（中跨合拢段）+3*5.0+2*4.5+3.5+2*1.0（中跨合拢段）+3.5+2*4.5+3*5.0+2*1.5+3*5.0+2*4.5+3.5+2*1.0（桥墩处）+3.5+2*4.5+3*5.0+2*1.5（边跨合拢段）+3*4.1+0.7+0.5共60个单元。桥墩划分为：4*5.0+4*5.0+4*5.0共12个单元。2、钢束信息纵向预应力束顶板束采用6束19F j15.24钢绞线，编号为1-18；连续束采用20

7、束12F j15.24钢绞线，均分成两次张拉，编号为19-26。采取两端张拉方式，张拉控制应力为1395MP，钢束锚固时弹性回缩合计总变形为12mm。竖向预应力束采用冷拉III级（25锰硅）F28l粗钢筋，张拉控制应力为503.5MP(每延米预加力为1240kN)。沿桥长方向间距为50cm，左右腹板各一根。3、 施工阶段信息施工阶段施工描述工作结构图示1浇筑桥墩基础、0号块；张拉1、2、3号钢束；混泥土强度达要求后进行灌浆；张拉竖向预应力筋2挂蓝安装3浇筑1号块，混泥土重量由挂蓝承担4张拉4、5、6号钢束；混泥土强度达要求后进行灌浆；张拉竖向预应力筋；挂蓝转移锚固5挂蓝拆除、移动、安装到下一节

8、段6浇筑2号块，混泥土重量由挂蓝承担7张拉7、8、9号钢束；混泥土强度达要求后进行灌浆；张拉竖向预应力筋；挂蓝转移锚固8挂蓝拆除、移动、安装到下一节段9浇筑3号块，混泥土重量由挂蓝承担10张拉10、11、12号钢束；混泥土强度达要求后进行灌浆；张拉竖向预应力筋；挂蓝转移锚固11挂蓝拆除、移动、安装到下一节段12浇筑4号块，混泥土重量由挂蓝承担13张拉13、14、15号钢束；混泥土强度达要求后进行灌浆；张拉竖向预应力筋；挂蓝转移锚固14挂蓝拆除、移动、安装到下一节段15浇筑5号块，混泥土重量由挂蓝承担；满堂支架浇筑边跨；张拉竖向预应力筋；16张拉16、17、18号钢束；混泥土强度达要求后进行灌浆

9、；张拉竖向预应力筋；挂蓝转移锚固17拆除挂蓝，悬臂施工结束18边跨合拢阶段：设置吊架19合拢段锁定，张拉19、21号钢束20设置配重，P1=300kN，P2=580kN21浇筑合拢段混泥土，同时卸去配重P122张拉20、22号钢束，并灌浆19-22号；张拉竖向预应力筋；拆吊架23拆边跨支架，体系转换，卸去配重P3，边跨合拢结束 24中跨合拢阶段：锁定合拢段两端，张拉23、25号钢束25设置吊架26浇筑中跨合拢段混泥土27张拉24、26号钢束，灌浆23-26号；张拉竖向预应力筋28拆除吊架，中跨合拢结束29桥面铺装及人行道、栏杆安装30使用十年4、 使用信息活荷载描述外力荷载类型为：支座摩阻力桥

10、面升温，竖向日照非线性温度，桥墩基础沉降（二）施工阶段内力计算根据施工程序计算各施工阶段由恒载、预应力、施工荷载（主要指挂篮）等引起的内力，得到最终恒载内力。1、 各施工阶段的合理计算图式2、 各施工阶段相应预应力束的预应力损失（下表给出部分钢束预应力损失及有效预应力信息）1号钢束最大悬臂施工阶段预应力损失及有效预应力：点号Sigma-s1Sigma-s2Sigma-s3Sigma-s4Sigma-s5Sigma-s6有效预应力10.00.00.0-11.80.0-4.3-93430.00.00.0-12.00.0-4.35-93550.00.00.0-12.20.0-4.39-93670.0

11、0.00.0-12.70.0-4.53-97290.00.00.0-13.70.0-4.75-970110.00.00.0-14.70.0-4.96-969130.00.00.0-9.710.0-2.19-1050150.00.00.0-10.50.0-2.32-1050170.00.00.0-10.50.0-2.32-1040190.00.00.0-9.710.0-2.19-1040210.00.00.0-14.70.0-4.94-965230.00.00.0-13.70.0-4.74-967250.00.00.0-12.70.0-4.51-969270.00.00.0-12.20.0-4.

12、37-933290.00.00.0-12.00.0-4.33-932310.00.00.0-11.80.0-4.28-93116号钢束张拉阶段预应力损失及有效预应力19号钢束张拉阶段预应力损失及有效预应力：点号Sigma-s1Sigma-s2Sigma-s3Sigma-s4Sigma-s5Sigma-s6有效预应力10-22900-5.77-1.341158.893-2.01-22700-5.83-2.931157.235-4.02-22100-5.89-3.151160.947-34.5-2800-11.2-3.661317.649-32.5-31.800-11.2-2.871316.631

13、1-30.6-35.700-11.1-3.21314.413-28.7-39.600-11-3.221312.4815-26.7-43.400-11-3.231310.6717-24.8-47.300-10.9-3.241308.7619-22-5300-10.8-3.241305.9621-16-64.800-10.6-3.261300.3423-14.1-68.700-10.5-3.321298.3825-12.1-72.600-10.4-3.381296.5227-3.94-8900-10.2-3.061288.829-1.97-9300-10.1-3.351286.58310-96.9

14、00-10-3.451284.6520号钢束（边跨连续束）张拉阶段预应力损失及有效预应力24号钢束（中跨连续束）张拉阶段预应力损失及有效预应力4号钢束成桥阶段预应力损失及有效预应力3、 施工阶段内力组合各施工阶段内力组合如下表：施工阶段单元截面M(kNm)Q(kN)施工阶段单元截面M(kNm)Q(kN)113左端1.50E+040213左端1.50E+040右端2.22E+04-1.05E+03右端1.61E+0495514左端1.95E+041.05E+0314左端1.35E+04-455右端2.16E+04-399右端1.41E+041.10E+0315左端2.16E+043.90E+03

15、15左端1.41E+045.40E+03右端1.94E+041.04E+03右端1.34E+04-46216左端2.21E+04-1.04E+0316左端1.61E+04962右端1.50E+040右端1.50E+040313左端1.50E+04-1.85E+03412左端1.14E+040右端9.67E+032.81E+03右端2.10E+04-1.07E+0314左端7.02E+03-1.59E+0313左端3.59E+041.07E+03右端6.47E+032.24E+03右端3.85E+042.10E+0315左端6.47E+036.53E+0314左端3.29E+04-1.60E+0

16、3右端6.95E+03-1.60E+03右端3.24E+042.24E+0316左端9.59E+032.81E+0315左端3.24E+046.53E+03右端1.50E+04-1.85E+03右端3.28E+04-1.60E+0316左端3.84E+042.10E+03右端3.60E+04-1.13E+0317左端2.12E+041.13E+03右端1.14E+040512左端1.14E+040612左端1.14E+04-1.52E+03右端1.35E+04436右端6.58E+031.96E+0313左端2.84E+04-43613左端2.15E+04-1.46E+03右端3.17E+04

17、1.60E+03右端2.12E+042.62E+0314左端2.61E+04-1.60E+0314左端1.56E+04-2.62E+03右端2.56E+042.25E+03右端1.41E+043.26E+0315左端2.56E+046.53E+0315左端1.41E+047.54E+03右端2.60E+04-1.61E+03右端1.55E+04-2.62E+0316左端3.16E+041.61E+0316左端2.11E+042.62E+03右端2.85E+04-2.63E+03右端2.16E+04-3.65E+0317左端1.36E+042.63E+0317左端6.74E+034.15E+03

18、右端1.14E+040右端1.14E+04-1.52E+03711左端7.89E+030811左端7.88E+030右端1.64E+04-1.20E+03右端8.87E+0330612左端2.77E+041.20E+0312左端2.02E+04-306右端3.10E+041.47E+03右端2.42E+041.48E+0313左端4.58E+04-1.47E+0313左端3.90E+04-1.48E+03右端5.06E+042.62E+03右端4.38E+042.62E+0314左端4.20E+04-2.62E+0314左端3.52E+04-2.62E+03右端4.05E+043.27E+03

19、右端3.37E+043.27E+0315左端4.05E+047.54E+0315左端3.37E+047.54E+03右端4.18E+04-2.63E+03右端3.50E+04-2.63E+0316左端5.04E+042.63E+0316左端4.35E+042.63E+03右端4.58E+04-3.65E+03右端3.90E+04-3.65E+0317左端3.10E+043.65E+0317左端2.42E+043.65E+03右端2.83E+04-1.02E+03右端2.07E+04-2.52E+0318左端1.70E+041.02E+0318左端9.44E+032.52E+03右端7.84E+

20、030右端7.83E+030911左端7.85E+03-1.33E+031010左端4.97E+030右端2.84E+031.64E+03右端1.25E+04-91212左端1.41E+04-1.21E+0311左端2.03E+04912右端1.40E+042.38E+03右端2.12E+041.35E+0313左端2.88E+04-2.38E+0312左端3.24E+04-1.35E+03右端3.04E+043.52E+03右端3.70E+042.52E+0314左端2.18E+04-3.52E+0313左端5.17E+04-2.52E+03右端1.94E+044.17E+03右端5.81E

21、+043.65E+0315左端1.94E+048.44E+0314左端4.64E+04-3.65E+03右端2.16E+04-3.53E+03右端4.41E+044.29E+0316左端3.02E+043.53E+0315左端4.41E+048.56E+03右端2.88E+04-4.55E+03右端4.62E+04-3.66E+0317左端1.40E+044.55E+0316左端5.78E+043.66E+03右端1.46E+04-3.42E+03右端5.17E+04-4.67E+0318左端3.38E+033.85E+0317左端3.71E+044.67E+03右端7.80E+03-1.33

22、E+03右端3.30E+04-3.54E+0318左端2.18E+043.54E+03右端2.03E+04-1.02E+0319左端1.26E+041.02E+03右端4.97E+0301110左端4.96E+0301210左端4.95E+03-1.19E+03右端4.28E+03589右端-1.67E+031.78E+0311左端1.21E+04-58911左端6.12E+03-1.42E+03右端1.37E+041.35E+03右端3.98E+032.18E+0312左端2.48E+04-1.35E+0312左端1.51E+04-2.18E+03右端2.94E+042.52E+03右端1.

23、59E+043.35E+0313左端4.41E+04-2.52E+0313左端3.06E+04-3.35E+03右端5.04E+043.65E+03右端3.40E+044.48E+0314左端3.88E+04-3.65E+0314左端2.24E+04-4.48E+03右端3.65E+044.29E+03右端1.93E+045.12E+0315左端3.65E+048.56E+0315左端1.93E+049.38E+03右端3.86E+04-3.66E+03右端2.22E+04-4.49E+0316左端5.02E+043.66E+0316左端3.38E+044.49E+03右端4.41E+04-4

24、.67E+03右端3.07E+04-5.50E+0317左端2.94E+044.67E+0317左端1.60E+045.50E+03右端2.54E+04-3.54E+03右端1.57E+04-4.37E+0318左端1.42E+043.54E+0318左端4.51E+034.37E+03右端1.21E+04-2.52E+03右端6.12E+03-3.35E+0319左端4.33E+032.52E+0319左端-1.62E+033.71E+03右端4.96E+030右端4.95E+03-1.19E+03139左端3.07E+030149左端3.07E+030右端9.59E+03-1000右端1.

25、33E+0350110左端1.45E+04100010左端6.24E+03-501右端1.27E+041.55E+03右端5.14E+031.55E+0311左端2.04E+04-1.55E+0311左端1.29E+04-1.55E+03右端2.18E+042.31E+03右端1.42E+042.32E+0312左端3.29E+04-2.31E+0312左端2.53E+04-2.32E+03右端3.84E+043.48E+03右端3.07E+043.48E+0313左端5.31E+04-3.48E+0313左端4.54E+04-3.48E+03右端6.13E+044.60E+03右端5.35E

26、+044.60E+0314左端4.66E+04-4.60E+0314左端3.89E+04-4.60E+03右端4.36E+045.24E+03右端3.59E+045.24E+0315左端4.36E+049.50E+0315左端3.59E+049.49E+03右端4.64E+04-4.61E+03右端3.87E+04-4.61E+0316左端6.10E+044.61E+0316左端5.33E+044.61E+03右端5.31E+04-5.62E+03右端4.54E+04-5.62E+0317左端3.85E+045.62E+0317左端3.08E+045.62E+03右端3.35E+04-4.48

27、E+03右端2.58E+04-4.48E+0318左端2.24E+044.48E+0318左端1.48E+044.48E+03右端2.04E+04-3.47E+03右端1.29E+04-3.47E+0319左端1.27E+043.47E+0319左端5.17E+033.47E+03右端1.46E+04-943右端6.29E+03-2.44E+0320左端9.64E+0394320左端1.38E+032.44E+03右端3.08E+030右端3.07E+030151左端0199161左端0200右端48.55.27右端48.74.982左端48.5-2612左端48.7-261右端-234547

28、右端-2345483左端-2343623左端-234362右端-234362右端-2343624左端-2343434左端-234343右端-313381右端-3133815左端-3134385左端-313438右端0286右端02869左端3.06E+03-1.13E+038左端2.24E+030右端-4.32E+031.63E+03右端7.82E+03-1.06E+0310左端581-1.29E+039左端1.09E+041.06E+03右端-4.46E+032.34E+03右端6.76E+031.41E+0311左端3.26E+03-2.34E+0310左端1.16E+04-1.41E+0

29、3右端1.07E+033.10E+03右端9.29E+032.46E+0312左端1.21E+04-3.10E+0311左端1.70E+04-2.46E+03右端1.40E+044.27E+03右端1.83E+043.23E+0313左端2.87E+04-4.27E+0312左端2.94E+04-3.23E+03右端3.41E+045.39E+03右端3.60E+044.39E+0314左端1.94E+04-5.39E+0313左端5.05E+04-4.39E+03右端1.57E+046.03E+03右端6.08E+045.51E+0315左端1.57E+041.03E+0414左端4.31E

30、+04-5.51E+03右端1.92E+04-5.40E+03右端3.95E+046.14E+0316左端3.38E+045.40E+0315左端3.95E+041.04E+04右端2.87E+04-6.40E+03右端4.29E+04-5.51E+0317左端1.41E+046.40E+0316左端6.05E+045.51E+03右端1.27E+04-5.27E+03右端5.06E+04-6.51E+0318左端1.60E+035.27E+0317左端3.61E+046.51E+03右端3.24E+03-4.25E+03右端2.99E+04-5.38E+0319左端-4.43E+034.25

31、E+0318左端1.89E+045.38E+03右端626-3.23E+03右端1.69E+04-4.36E+0320左端-4.28E+033.57E+0319左端9.32E+034.36E+03右端3.06E+03-1.13E+03右端1.17E+04-3.34E+0320左端6.80E+033.34E+03右端1.09E+04-89821左端7.87E+03898右端2.24E+030171左端0200181左端0203右端48.84.77右端50.12.072左端48.8-2612左端50.1-269右端-234548右端-2395563左端-2343623左端-239365右端-234

32、362右端-2253594左端-2343434左端-225333右端-313381右端-3463925左端-3134385左端-346477右端0286右端04978左端2.24E+0308左端2.24E+030右端7.79E+03-1.06E+03右端6.64E+03-8019左端1.08E+041.06E+039左端9.67E+03801右端1.49E+04-76.1右端1.25E+0417810左端1.98E+0476.110左端1.73E+04-178右端2.48E+04974右端2.10E+041.23E+0311左端3.24E+04-97411左端2.87E+04-1.23E+03

33、右端4.04E+041.74E+03右端3.54E+042.00E+0312左端5.13E+04-1.74E+0312左端4.64E+04-2.00E+03右端6.45E+042.90E+03右端5.84E+043.16E+0313左端7.90E+04-2.90E+0313左端7.29E+04-3.16E+03右端9.46E+044.01E+03右端8.75E+044.26E+0314左端7.70E+04-4.01E+0314左端7.00E+04-4.26E+03右端7.50E+044.65E+03右端6.78E+044.90E+0315左端7.50E+048.89E+0315左端7.48E+

34、048.89E+03右端7.68E+04-4.02E+03右端7.64E+04-4.02E+0316左端9.43E+044.02E+0316左端9.40E+044.02E+03右端7.91E+04-5.01E+03右端7.87E+04-5.01E+0317左端6.47E+045.01E+0317左端6.43E+045.01E+03右端5.19E+04-3.88E+03右端5.16E+04-3.88E+0318左端4.09E+043.88E+0318左端4.07E+043.88E+03右端3.24E+04-2.86E+03右端3.22E+04-2.86E+0319左端2.48E+042.86E+

35、0319左端2.47E+042.86E+03右端1.98E+04-1.84E+03右端1.97E+04-1.84E+0320左端1.49E+041.84E+0320左端1.49E+041.84E+03右端1.09E+04-898右端1.08E+04-89821左端7.84E+0389821左端7.82E+03898右端2.24E+030右端2.24E+031.95E-10191左端5.72E+03-1.61E+04201左端5.68E+03-1.60E+04右端-2.38E+031.63E+04右端-2.34E+031.62E+042左端-2.38E+039.26E+032左端-2.34E+0

36、39.09E+03右端4.01E+03-8.97E+03右端3.92E+03-8.80E+033左端1.66E+036473左端1.65E+03616右端1.46E+03-3.74E+03右端1.42E+03-3.69E+034左端1.46E+03-1954左端1.42E+03-183右端-770919右端-7639075左端-7705665左端-763565右端0408右端04098左端2.23E+032.35E-108左端2.22E+032.10E-10右端6.38E+03-545右端5.74E+03-2419左端9.40E+035459左端8.75E+03241右端1.12E+04820

37、右端8.99E+031.12E+0310左端3.59E+04-12510左端3.34E+04-432右端3.97E+041.17E+03右端3.56E+041.48E+0311左端4.73E+04-1.17E+0311左端4.32E+04-1.48E+03右端5.40E+041.95E+03右端4.84E+042.25E+0312左端6.49E+04-1.95E+0312左端5.93E+04-2.25E+03右端7.68E+043.10E+03右端6.97E+043.41E+0313左端9.13E+04-3.10E+0313左端8.41E+04-3.41E+03右端1.06E+054.21E+

38、03右端9.75E+044.51E+0314左端8.85E+04-4.21E+0314左端8.03E+04-4.51E+03右端8.65E+044.84E+03右端7.80E+045.14E+0315左端7.47E+048.88E+0315左端5.97E+049.46E+03右端7.63E+04-4.02E+03右端6.20E+04-4.60E+0316左端9.39E+044.02E+0316左端7.95E+044.60E+03右端7.86E+04-5.01E+03右端6.63E+04-5.59E+0317左端6.42E+045.01E+0317左端5.19E+045.59E+03右端5.15

39、E+04-3.88E+03右端4.19E+04-4.46E+0318左端4.06E+043.88E+0318左端3.09E+044.46E+03右端3.22E+04-2.86E+03右端2.52E+04-3.44E+0319左端2.46E+042.86E+0319左端1.76E+043.44E+03右端1.97E+04-1.84E+03右端1.56E+04-2.42E+0320左端1.48E+041.84E+0320左端1.07E+042.42E+03右端1.08E+04-898右端9.65E+03-1.48E+0321左端7.81E+0389821左端6.63E+031.48E+03右端2.23E+031.93E-10右端2.23E+031.95E-1024左端2.23E+03024左端2.23E+030右端7.76E+03-1.05E+03右端7.73E+03-1.05E+0325左端1.08E+041.05E+0325左端1.08E+041.05E+03右端1.48E+04-69.7右端1.48E+04-65.226左端1.97E+0469.726左端1.96E+0465.2右端2.46E+04981右端2.45E