预应力混凝土连续刚构计算书(泉州后渚大桥主桥120m)典尚设计

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1、41泉州后渚大桥主桥变更设计 上部结构纵向受力分析 泉州后渚大桥主桥设计上部结构纵向受力分析计算书 计算 复核 年9月福建省交通规划设计院 2001年9月 福州泉州后渚大桥主桥采用66+3x120+66=492米预应力混凝土连续刚构，大桥上部结构采用双幅分离式结构的单室单箱梁，箱梁顶面宽12.0米，箱宽6.5米。本桥纵向分析采用同济大学桥梁博士之直线桥梁结构设计施工计算程序。一主要计算参数和假定考虑目前施工单位尚未提供具体有关的施工方案和施工挂蓝情况等，以下施工控制参数为拟定值。1材料特性和计算参数主梁采用50号混凝土，混凝土容重2.625吨/立方米，50号混凝土弹性模量为3.5×1

2、04Mpa，抗压设计强度28.5Mpa，线膨胀系数1×105，混凝土材料的收缩徐变特性全部按照规范规定取值。预应力采用钢绞线束施加，钢绞线弹性模量取1.95×105MPa，钢绞线采用ASTM A416-92标准270级低松弛钢绞线，公称直径15.24mm，公称面积140mm2，抗拉标准强度为1860MPa。预应力波纹管道采用VSL PT-PLUS塑料波纹管，真空辅助压浆。锚具设计采用VSL EC型锚具。钢束设计采用19股（中跨底束）、12股（边跨底束及合拢束）和22股（顶束）三种不同股数钢绞线，对应锚具采用VSL EC-19型、VSL EC-12型和VSL EC-22型锚具

3、，对应波纹管采用内100mm和内76mm两种波纹管。单个锚具回缩6mm，成孔面积对应内100mm和内76mm两种波纹管分别为10568mm2和6504mm2，孔道摩阻系数=0.15和偏差系数k=0.0012。2施工环境和温度模式(1)施工环境按野外一般条件湿度。(2)温度模式：a)均匀温差成分：升温取25，降温取20。b)不均匀温差成分：新西兰升温温差模式；修正英国降温温差模式。c)计算采用如下三种温度组合模式：（h为箱梁高度）表2-1模式一至箱底距(m)0.00.2h-1.2h-0.6h-0.4h-0.25h-0.1h温度()1.50.00.00.61.06.213.020.0模式二至箱底距

4、(m)0.00.25h-0.45h-0.25h温度()-6.5-1.00.0-0.5-8.43施工工序本桥下部结构为群桩基础，采用钻孔施工；上部结构采用悬臂浇注法双T同时施工，先合拢中跨，然后合拢次中跨，最后合拢边跨。边跨现浇段采用落地支架及合拢段才采用合拢支架施工。4桥梁线形本桥为直线桥，位于R=10000米的不对称竖曲线上，纵坡为2.099%和-2.1%，竖曲线顶点位于中跨。曲线对结构影响较小，因此在计算中假定本桥为平直桥，在计算中未考虑竖曲线的影响。5挂篮型式和临时荷载上部结构悬浇最大块件重量为130吨，设计计算中将挂篮、模板等施工外载取130吨的0.45倍，即60吨。并暂假定挂篮、模板

5、重心距已浇梁段前端0.5米位置。边跨合拢挂篮、吊架和模板等施工外载30吨，每侧按15吨取。中跨合拢挂篮、吊架和模板等施工外载30吨，两侧各施加15吨，作用点距悬臂端部50厘米。6二期恒载和运营活载(1)二期恒载：6.2t/m(2)活载：三列汽超20，一列挂120，人群荷载按0.35t/m2,人行道净宽1m.偏载放大系数近似全桥一致取1.1。横向分布系数：汽车3×0.78×1.1=2.574 挂车1.1 人群1.17竖向预应力每根粗钢筋设计张拉控制应力K=0.9Rby=675Mpa，张拉力543KN，考虑锚具回缩2毫米，松弛7%，则对2.8米长粗钢筋近似损失应力:S =0.0

6、02*2*105/2.8 +7%*675=190.1Mpa0.3K。近似按全部粗钢筋有效拉应力0.7K。粗钢筋纵向布置间距50厘米，横向每侧腹板2根共4根，则每延米竖向预加力F=8*0.7*543=3041KN。二结构离散本次计算将整个桥梁离散为80个单元，节点按照顺序划分。单元划分见如下结构离散图三施工阶段内力和正应力计算结果根据施工阶段划分表中各施工工序，进行了详细计算。最大悬臂阶段即16阶段，成桥阶段即21阶段主梁的内力、上下缘应力如下。第16施工阶段结构效应阶段累计结果: 单元号 节点号 轴力 剪力 弯矩 1 1 0.000e+000 0.000e+000 0.000e+000 1 2

7、 0.000e+000 0.000e+000 0.000e+000 2 2 0.000e+000 0.000e+000 0.000e+000 2 3 0.000e+000 0.000e+000 0.000e+000 3 3 0.000e+000 0.000e+000 0.000e+000 3 4 0.000e+000 0.000e+000 0.000e+000 4 4 0.000e+000 0.000e+000 0.000e+000 4 5 0.000e+000 0.000e+000 0.000e+000 5 5 7.580e+003 -6.000e+002 6.910e+003 5 6 7.

8、643e+003 1.581e+003 2.162e+003 6 6 1.515e+004 -1.581e+003 9.104e+003 6 7 1.529e+004 2.572e+003 4.890e+002 7 7 2.281e+004 -2.572e+003 7.743e+003 7 8 2.301e+004 3.580e+003 -4.358e+003 8 8 3.788e+004 -3.580e+003 1.096e+004 8 9 3.818e+004 4.516e+003 -1.146e+003 9 9 5.289e+004 -4.516e+003 1.545e+004 9 10

9、 5.343e+004 5.517e+003 2.470e+003 10 10 6.081e+004 -5.517e+003 1.168e+004 10 11 6.150e+004 6.595e+003 -2.738e+003 11 11 6.892e+004 -6.595e+003 7.597e+003 11 12 6.953e+004 7.744e+003 -9.170e+003 12 12 7.696e+004 -7.744e+003 2.356e+003 12 13 7.766e+004 8.951e+003 -1.559e+004 13 13 8.512e+004 -8.951e+0

10、03 -2.643e+003 13 14 8.574e+004 1.006e+004 -1.904e+004 14 14 9.320e+004 -1.006e+004 -4.734e+003 14 15 9.390e+004 1.123e+004 -2.127e+004 15 15 1.014e+005 -1.123e+004 -5.387e+003 15 16 1.020e+005 1.246e+004 -2.221e+004 16 16 1.168e+005 -1.246e+004 1.247e+004 16 17 1.175e+005 1.375e+004 -2.242e+003 17

11、17 1.321e+005 -1.375e+004 3.215e+004 17 18 1.329e+005 1.492e+004 2.201e+004 18 18 1.474e+005 -1.492e+004 5.388e+004 18 19 1.483e+005 1.615e+004 4.698e+004 19 19 1.624e+005 -1.615e+004 8.495e+004 19 20 1.634e+005 1.710e+004 8.179e+004 20 20 1.634e+005 -1.710e+004 8.179e+004 20 21 1.637e+005 1.747e+00

12、4 6.983e+004 21 21 1.637e+005 1.311e+003 6.941e+004 21 22 1.639e+005 -9.397e+002 7.080e+004 22 22 1.639e+005 9.397e+002 7.080e+004 22 23 1.643e+005 -2.340e-002 7.286e+004 23 23 1.643e+005 2.340e-002 7.286e+004 23 24 1.639e+005 9.396e+002 7.081e+004 24 24 1.639e+005 -9.396e+002 7.081e+004 24 25 1.637

13、e+005 1.311e+003 6.943e+004 25 25 1.637e+005 1.747e+004 6.985e+004 25 26 1.634e+005 -1.710e+004 8.194e+004 26 26 1.634e+005 1.710e+004 8.194e+004 26 27 1.624e+005 -1.615e+004 8.495e+004 27 27 1.483e+005 1.615e+004 4.698e+004 27 28 1.474e+005 -1.492e+004 5.390e+004 28 28 1.329e+005 1.492e+004 2.204e+

14、004 28 29 1.321e+005 -1.375e+004 3.215e+004 29 29 1.175e+005 1.375e+004 -2.242e+003 29 30 1.168e+005 -1.246e+004 1.248e+004 30 30 1.020e+005 1.246e+004 -2.220e+004 30 31 1.014e+005 -1.123e+004 -5.388e+003 31 31 9.390e+004 1.123e+004 -2.127e+004 31 32 9.320e+004 -1.006e+004 -4.737e+003 32 32 8.574e+0

15、04 1.006e+004 -1.904e+004 32 33 8.512e+004 -8.951e+003 -2.647e+003 33 33 7.766e+004 8.951e+003 -1.560e+004 33 34 7.695e+004 -7.744e+003 2.350e+003 34 34 6.952e+004 7.744e+003 -9.175e+003 34 35 6.892e+004 -6.595e+003 7.590e+003 35 35 6.150e+004 6.595e+003 -2.743e+003 35 36 6.080e+004 -5.517e+003 1.16

16、7e+004 36 36 5.343e+004 5.517e+003 2.463e+003 36 37 5.288e+004 -4.516e+003 1.544e+004 37 37 3.817e+004 4.516e+003 -1.150e+003 37 38 3.787e+004 -3.580e+003 1.096e+004 38 38 2.301e+004 3.580e+003 -4.359e+003 38 39 2.281e+004 -2.572e+003 7.740e+003 39 39 1.529e+004 2.572e+003 4.880e+002 39 40 1.515e+00

17、4 -1.581e+003 9.102e+003 40 40 7.642e+003 1.581e+003 2.161e+003 40 41 7.579e+003 -6.000e+002 6.909e+003 41 41 0.000e+000 0.000e+000 0.000e+000 41 42 0.000e+000 0.000e+000 0.000e+000 42 42 0.000e+000 0.000e+000 0.000e+000 42 43 0.000e+000 0.000e+000 0.000e+000 43 43 7.579e+003 -6.000e+002 6.909e+003

18、43 44 7.642e+003 1.581e+003 2.161e+003 44 44 1.515e+004 -1.581e+003 9.102e+003 44 45 1.529e+004 2.572e+003 4.880e+002 45 45 2.281e+004 -2.572e+003 7.740e+003 45 46 2.301e+004 3.580e+003 -4.359e+003 46 46 3.787e+004 -3.580e+003 1.096e+004 46 47 3.817e+004 4.516e+003 -1.151e+003 47 47 5.288e+004 -4.51

19、6e+003 1.544e+004 47 48 5.343e+004 5.517e+003 2.463e+003 48 48 6.080e+004 -5.517e+003 1.167e+004 48 49 6.150e+004 6.595e+003 -2.744e+003 49 49 6.892e+004 -6.595e+003 7.590e+003 49 50 6.952e+004 7.744e+003 -9.175e+003 50 50 7.695e+004 -7.744e+003 2.350e+003 50 51 7.766e+004 8.951e+003 -1.560e+004 51

20、51 8.512e+004 -8.951e+003 -2.648e+003 51 52 8.574e+004 1.006e+004 -1.904e+004 52 52 9.320e+004 -1.006e+004 -4.737e+003 52 53 9.390e+004 1.123e+004 -2.127e+004 53 53 1.014e+005 -1.123e+004 -5.388e+003 53 54 1.020e+005 1.246e+004 -2.221e+004 54 54 1.168e+005 -1.246e+004 1.247e+004 54 55 1.175e+005 1.3

21、75e+004 -2.242e+003 55 55 1.321e+005 -1.375e+004 3.215e+004 55 56 1.329e+005 1.492e+004 2.201e+004 56 56 1.474e+005 -1.492e+004 5.388e+004 56 57 1.483e+005 1.615e+004 4.698e+004 57 57 1.624e+005 -1.615e+004 8.495e+004 57 58 1.634e+005 1.710e+004 8.179e+004 58 58 1.634e+005 -1.710e+004 8.179e+004 58

22、59 1.637e+005 1.747e+004 6.983e+004 59 59 1.637e+005 1.311e+003 6.942e+004 59 60 1.639e+005 -9.397e+002 7.080e+004 60 60 1.639e+005 9.397e+002 7.080e+004 60 61 1.643e+005 -7.389e-002 7.286e+004 61 61 1.643e+005 7.389e-002 7.286e+004 61 62 1.639e+005 9.396e+002 7.081e+004 62 62 1.639e+005 -9.396e+002

23、 7.081e+004 62 63 1.637e+005 1.310e+003 6.944e+004 63 63 1.637e+005 1.747e+004 6.985e+004 63 64 1.634e+005 -1.710e+004 8.194e+004 64 64 1.634e+005 1.710e+004 8.194e+004 64 65 1.624e+005 -1.615e+004 8.494e+004 65 65 1.483e+005 1.615e+004 4.698e+004 65 66 1.474e+005 -1.492e+004 5.390e+004 66 66 1.329e

24、+005 1.492e+004 2.204e+004 66 67 1.321e+005 -1.375e+004 3.215e+004 67 67 1.175e+005 1.375e+004 -2.242e+003 67 68 1.168e+005 -1.246e+004 1.247e+004 68 68 1.020e+005 1.246e+004 -2.220e+004 68 69 1.014e+005 -1.123e+004 -5.389e+003 69 69 9.390e+004 1.123e+004 -2.126e+004 69 70 9.320e+004 -1.006e+004 -4.

25、738e+003 70 70 8.574e+004 1.006e+004 -1.904e+004 70 71 8.512e+004 -8.951e+003 -2.648e+003 71 71 7.766e+004 8.951e+003 -1.559e+004 71 72 7.695e+004 -7.744e+003 2.351e+003 72 72 6.953e+004 7.744e+003 -9.173e+003 72 73 6.892e+004 -6.595e+003 7.591e+003 73 73 6.150e+004 6.595e+003 -2.743e+003 73 74 6.08

26、0e+004 -5.517e+003 1.167e+004 74 74 5.343e+004 5.517e+003 2.463e+003 74 75 5.288e+004 -4.516e+003 1.544e+004 75 75 3.817e+004 4.516e+003 -1.150e+003 75 76 3.787e+004 -3.580e+003 1.096e+004 76 76 2.301e+004 3.580e+003 -4.359e+003 76 77 2.281e+004 -2.572e+003 7.740e+003 77 77 1.529e+004 2.572e+003 4.8

27、80e+002 77 78 1.515e+004 -1.581e+003 9.102e+003 78 78 7.642e+003 1.581e+003 2.161e+003 78 79 7.579e+003 -6.000e+002 6.909e+003 79 79 0.000e+000 0.000e+000 0.000e+000 79 80 0.000e+000 0.000e+000 0.000e+000 80 80 0.000e+000 0.000e+000 0.000e+000 80 81 0.000e+000 0.000e+000 0.000e+000 81 81 7.579e+003

28、-6.000e+002 6.909e+003 81 82 7.642e+003 1.581e+003 2.161e+003 82 82 1.515e+004 -1.581e+003 9.102e+003 82 83 1.529e+004 2.572e+003 4.880e+002 83 83 2.281e+004 -2.572e+003 7.740e+003 83 84 2.301e+004 3.580e+003 -4.359e+003 84 84 3.787e+004 -3.580e+003 1.096e+004 84 85 3.817e+004 4.516e+003 -1.151e+003

29、 85 85 5.288e+004 -4.516e+003 1.544e+004 85 86 5.343e+004 5.517e+003 2.463e+003 86 86 6.080e+004 -5.517e+003 1.167e+004 86 87 6.150e+004 6.595e+003 -2.744e+003 87 87 6.892e+004 -6.595e+003 7.590e+003 87 88 6.952e+004 7.744e+003 -9.175e+003 88 88 7.695e+004 -7.744e+003 2.350e+003 88 89 7.766e+004 8.9

30、51e+003 -1.560e+004 89 89 8.512e+004 -8.951e+003 -2.648e+003 89 90 8.574e+004 1.006e+004 -1.904e+004 90 90 9.320e+004 -1.006e+004 -4.737e+003 90 91 9.390e+004 1.123e+004 -2.127e+004 91 91 1.014e+005 -1.123e+004 -5.388e+003 91 92 1.020e+005 1.246e+004 -2.221e+004 92 92 1.168e+005 -1.246e+004 1.247e+0

31、04 92 93 1.175e+005 1.375e+004 -2.242e+003 93 93 1.321e+005 -1.375e+004 3.215e+004 93 94 1.329e+005 1.492e+004 2.201e+004 94 94 1.474e+005 -1.492e+004 5.388e+004 94 95 1.483e+005 1.615e+004 4.698e+004 95 95 1.624e+005 -1.615e+004 8.495e+004 95 96 1.634e+005 1.710e+004 8.179e+004 96 96 1.634e+005 -1.

32、710e+004 8.179e+004 96 97 1.637e+005 1.747e+004 6.983e+004 97 97 1.637e+005 1.311e+003 6.942e+004 97 98 1.639e+005 -9.396e+002 7.080e+004 98 98 1.639e+005 9.396e+002 7.080e+004 98 99 1.643e+005 2.161e-003 7.286e+004 99 99 1.643e+005 -2.161e-003 7.286e+004 99 100 1.639e+005 9.396e+002 7.081e+004 100

33、100 1.639e+005 -9.396e+002 7.081e+004 100 101 1.637e+005 1.311e+003 6.944e+004 101 101 1.637e+005 1.747e+004 6.985e+004 101 102 1.634e+005 -1.710e+004 8.194e+004 102 102 1.634e+005 1.710e+004 8.194e+004 102 103 1.624e+005 -1.615e+004 8.495e+004 103 103 1.483e+005 1.615e+004 4.698e+004 103 104 1.474e

34、+005 -1.492e+004 5.390e+004 104 104 1.329e+005 1.492e+004 2.204e+004 104 105 1.321e+005 -1.375e+004 3.215e+004 105 105 1.175e+005 1.375e+004 -2.242e+003 105 106 1.168e+005 -1.246e+004 1.248e+004 106 106 1.020e+005 1.246e+004 -2.220e+004 106 107 1.014e+005 -1.123e+004 -5.388e+003 107 107 9.390e+004 1

35、.123e+004 -2.127e+004 107 108 9.320e+004 -1.006e+004 -4.737e+003 108 108 8.574e+004 1.006e+004 -1.904e+004 108 109 8.512e+004 -8.951e+003 -2.647e+003 109 109 7.766e+004 8.951e+003 -1.560e+004 109 110 7.695e+004 -7.744e+003 2.350e+003 110 110 6.952e+004 7.744e+003 -9.175e+003 110 111 6.892e+004 -6.59

36、5e+003 7.590e+003 111 111 6.150e+004 6.595e+003 -2.743e+003 111 112 6.080e+004 -5.517e+003 1.167e+004 112 112 5.343e+004 5.517e+003 2.463e+003 112 113 5.288e+004 -4.516e+003 1.544e+004 113 113 3.817e+004 4.516e+003 -1.150e+003 113 114 3.787e+004 -3.580e+003 1.096e+004 114 114 2.301e+004 3.580e+003 -

37、4.359e+003 114 115 2.281e+004 -2.572e+003 7.740e+003 115 115 1.529e+004 2.572e+003 4.880e+002 115 116 1.515e+004 -1.581e+003 9.102e+003 116 116 7.642e+003 1.581e+003 2.161e+003 116 117 7.579e+003 -6.000e+002 6.909e+003 117 117 0.000e+000 0.000e+000 0.000e+000 117 118 0.000e+000 0.000e+000 0.000e+000

38、 118 118 0.000e+000 0.000e+000 0.000e+000 118 119 0.000e+000 0.000e+000 0.000e+000 119 119 7.579e+003 -6.000e+002 6.909e+003 119 120 7.642e+003 1.581e+003 2.161e+003 120 120 1.515e+004 -1.581e+003 9.102e+003 120 121 1.529e+004 2.572e+003 4.880e+002 121 121 2.281e+004 -2.572e+003 7.740e+003 121 122 2

39、.301e+004 3.580e+003 -4.359e+003122 122 3.787e+004 -3.580e+003 1.096e+004122 123 3.817e+004 4.516e+003 -1.151e+003 123 123 5.288e+004 -4.516e+003 1.544e+004 123 124 5.343e+004 5.517e+003 2.463e+003 124 124 6.080e+004 -5.517e+003 1.167e+004 124 125 6.150e+004 6.595e+003 -2.744e+003 125 125 6.892e+004

40、 -6.595e+003 7.590e+003 125 126 6.952e+004 7.744e+003 -9.175e+003 126 126 7.695e+004 -7.744e+003 2.350e+003 126 127 7.766e+004 8.951e+003 -1.560e+004 127 127 8.512e+004 -8.951e+003 -2.648e+003 127 128 8.574e+004 1.006e+004 -1.904e+004 128 128 9.320e+004 -1.006e+004 -4.737e+003 128 129 9.390e+004 1.1

41、23e+004 -2.127e+004 129 129 1.014e+005 -1.123e+004 -5.388e+003 129 130 1.020e+005 1.246e+004 -2.221e+004 130 130 1.168e+005 -1.246e+004 1.247e+004 130 131 1.175e+005 1.375e+004 -2.242e+003 131 131 1.321e+005 -1.375e+004 3.215e+004 131 132 1.329e+005 1.492e+004 2.201e+004 132 132 1.474e+005 -1.492e+004 5.388e+004 132 133 1.483e+005 1.615e+004 4.698e+004 133 133 1.624e+005 -1.615e+004 8.495e+004 133 134 1.634e+005 1.710e+004 8.179e+004 134 134 1.634e+005 -1.710e+004 8.1