工程资源 预应力混凝土连续刚构计算书1

泉州后渚大桥主桥设计

上部结构纵向受力分析

计算书

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。

-.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3.5x

lO4Mpa,抗压设计强度28.5Mpa,线膨胀系数a=1x10-5,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L95xlO5MPa,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1860MPao

预应力波纹管道采用VSLPT-PLUS塑料波纹管真空辅助压浆。锚具设计采用VSLEC

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VSLEC-19型、VSLEC-12型和VSLEC-22型锚具，对

应波纹管采用（P内100mm和＜p内76mm两种波纹管。

单个锚具回缩6mm,成孔面积对应q＞内100mm和①内76mm两种波纹管分别为

10568mm2和6504mm2,孔道摩阻系数|J=0.15和偏差系数k=0.0012。

2.施工环境和温度模式

Q）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℃e

b）不均匀温差成分：①新西兰升温温差模式；②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(m)0.00.25h-0.45h-0.25h

温度(℃)-6.5-1.00.0-0.5-8.4

3,施工工序

本桥下部结构为群柱基础，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电并暂假定挂篮、模板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，每则按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035t/m，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3x0.78x1.1=2.574

挂车1」

人群L1

7.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=0.002*2*1072.8

+7%*675=190.1Mpa«0.3oK。近似按全部粗钢筋有效拉应力0.7。Ko

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=3041KNo

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JII页序划分。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

11O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

12O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

22O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

230.000e+000O.OOOe+OOOO.OOOe+OOO

33O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

340.000e+0000.000e+000O.OOOe+OOO

440.000e+0000.000e+000O.OOOe+OOO

450.000e+000O.OOOe+OOOO.OOOe+OOO

557.580e+003-6.000e-0026.910e+003

567.643e+0031.581e+0032.162e+003

661.515e+004-1.581e-0039.104e+003

671.529e+0042.572e+0034.890e+002

772.281e+004-2.572e-0037.743e+003

782.301e+0043.580e+003-4.358e+003

883.788e+004-3.580e-0031.096e+004

893.818e+0044.516e+003-1.146e+003

995.289e+004-4.516e-0031.545e+004

9105.343e+0045.517e+0032.470e+003

10106.081e+004-5.517e+0031.168e+004

10116.150e+0046.595e+003-2.738e+003

11116.892e+004-6.595e+0037.597e+003

11126.953e+0047.744e+003-9.170e+003

12127.696e+004-7.744e+0032.356e+003

12137.766e+0048.951e+003-1.559e+004

13138.512e+004-8.951e+003-2.643e+003

13148.574e+0041.006e+004-1.904e+004

14149.320e+004-1.006e+004-4.734e+003

14159.390e+0041.123e+004-2.127e+004

15151.014e+005-1.123e4-004-5.387e+003

15161.020e+0051.246e+004-2.221e+004

16161.168e+005-1.246e+0041.247e+004

16171.175e+0051.37564-004-2.242e+003

17171321e+005-1.375e+0043.215e+004

17181329e+0051.492e+0042.201e+004

18181.474e+005-1.492e+0045.388e+004

18191.483e+0051.615e+0044.698e+004

19191.624e+005-1.615e+0048.495e+004

19201.634e+0051.710e+0048.179e+004

20201.634e+005-1.710e+0048.179e+004

20211.637e+0051.747e+0046.983e+004

21211.637e+0051.311e+0036.941e+004

21221.639e+005-9.397e+0027.080e+004

22221.639e+0059.397e+0027.080e+004

22231.643e+005-2.340e-0027.286e+004

23231.643e+0052.340e-0027.286e+004

23241.639e+0059.396e+0027.081e+004

24241.639e+005-9.396e+0027.081e+004

24251.637e+0051.31164-0036.943e+004

25251.637e+0051.747e+0046.985e+004

25261.634e+005-1.710e+0048.194e+004

26261.634e+0051.710e+0048.194e+004

26271.624e+005-1.615e+0048.495e+004

27271.483e+0051.615e+0044.698e+004

27281.474e+005-1.492e+0045.390e+004

28281.329e+0051.492e+0042.204e+004

28291.321e+005-1.375e+0043.215e+004

29291.175e+005L375e+004-2.242e+003

29301.168e+005-1.246e+0041.248e+004

30301.020e+0051.246e+004-2.220e+004

30311.014e+005-1.123e+004-5.388e+003

31319.390e+0041.123e+004-2.127e+004

31329320e+004-1.006e+004-4.737e+003

32328.574e+0041.006e+004-1.904e+004

32338.512e+004-8.951e+003-2.647e+003

33337.766e+0048.959+003-1.560e+004

33347.695e+004-7.744e+0032.350e+003

34346.952e+0047.744e+003-9.175e+003

34356.892e+004-6.595e+0037.590e+003

35356.150e+0046.595e+003-2.743e+003

35366.080e+004-5.517e+0031.167e+004

36365.343e+0045.517e+0032.463e+003

36375.288e+004-4.516e+0031.544e+004

37373.817e+0044.516e+003-1.150e+003

37383.787e+004-3.580e+0031.096e+004

38382.301e+0043.580e+003-4.359e+003

38392.281e+004-2.572e+0037.740e+003

39391.529e+0042.572e+0034.880e+002

39401.515e+004-1.581e+0039.102e+003

40407.642e+0031.581e+0032.161e+003

40417.579e+003-6.000e+0026.909e+003

41410.000e+000O.OOOe+OOOO.OOOe+OOO

41420.000e+000O.OOOe+OOOO.OOOe+OOO

42420.000e+000O.OOOe+OOOO.OOOe+OOO

42430.000e+000O.OOOe+OOOO.OOOe+OOO

43437.579e+003-6.000e+0026.909e+003

43447.642e+0031.58164-0032.161e+003

44441.515e+004-1.581e+0039.102e+003

44451.529e+0042.572e+0034.880e+002

45452.281e+004-2.572e+0037.740e+003

45462.301e+0043.5806+003-4359e+003

46463.787e+004-3.580e+0031.096e+004

46473.817e+0044.516e+003-1.151e+003

47475.288e+004-4.516e+0031.544e+004

47485.343e+0045.51764-0032.463e+003

48486.080e+004-5.517e+0031.167e+004

48496.150e+0046.595e+003-2.744e+003

49496.892e+004-6.595e+0037.590e+003

49506.952e+0047.744e+003-9.175e+003

50507.695e+004-7.744e+0032.350e+003

50517.766e+0048.95164-003-1.560e+004

51518.512e+004-8.951e+003-2.648e+003

51528.574e+0041.00664-004-1.904e+004

52529.320e+004-1.006e+004-4.737e+003

52539.390e+0041.123e+004-2.127e+004

53531.014e+005-1.123e+004-5.388e+003

53541.020e+0051.246e+004-2.221e+004

54541.168e+005-1.246e+0041.247e+004

54551.175e+0051.375e+004-2.242e+003

55551.321e+005-1.375e+0043.215e+004

55561.329e+0051.492e+0042.201e+004

56561.474e+005-1.492e+0045.388e+004

56571.483e+0051.61564-0044.698e+004

57571.624e+005-1.615e+0048.495e+004

57581.634e+0051.710e+0048.179e+004

58581.634e+005-1.710e+0048.179e+004

58591.637e+0051.747e+0046.983e+004

59591.637e+0051.311e+0036.942e+004

59601.639e+005-9.397e+0027.080e+004

60601.639e+0059.397e+0027.080e+004

60611.643e+005-7.389e-0027.286e+004

61611.643e+0057.389e-0027.286e+004

61621.639e+0059.396e+0027.081e+004

62621.639e+005-9.396e+0027.081e+004

62631.637e+0051.310e+0036.944e+004

63631.637e+0051.747e+0046.985e+004

63641.634e+005-1.710e+0048.194e+004

64641.634e+0051.710e+0048.194e+004

64651.624e+005-1.615e+0048.494e+004

65651.483e+0051.615e+0044.698e+004

65661.474e+005-1.492e+0045.390e+004

66661.329e+0051.492e+0042.204e+004

66671.321e+005-1.375e+0043.215e+004

67671.175e+0051.375e+004-2.242e+003

67681.168e+005-1.246e+0041.247e+004

68681.020e+0051.246e+004-2.220e+004

68691.014e+005-1.123e+004-5.389e+003

69699.390e+0041.123e+004-2.126e+004

69709.320e+004-1.006e+004-4.738e+003

70708.574e+0041.006e+004-1.904e+004

70718.512e+004-8.951e+003-2.648e+003

71717.766e+0048.951e+003-1.559e+004

71727.695e+004-7.744e+0032.351e+003

72726.953e+0047.744e+003-9.173e+003

72736.892e+004-6.595e+0037.591e+003

73736.150e+0046.595e+003-2.743e+003

73746.080e+004-5.517e+0031.167e+004

74745.343e+0045.517e+0032.463e+003

74755.288e+004-4.516e+0031.544e+004

75753.817e+0044.516e+003-1.150e+003

75763.787e+004-3.580e+0031.096e+004

76762.301e+0043.580e+003-4.359e+003

76772.281e+004-2.572e+0037.740e+003

77771.529e+0042.572e+0034.880e+002

77781.515e+004-1.581e+0039.102e+003

78787.642e+0031.581e+0032.161e+003

78797.579e+003-6.000e+0026.909e+003

79790.000e+0000.000e+000O.OOOe+OOO

79800.000e+0000.000e+000O.OOOe+OOO

80800.000e+000O.OOOe+OOOO.OOOe+OOO

80810.000e+000O.OOOe+OOOO.OOOe+OOO

81817.579e+003-6.000e+0026.909e+003

81827.642e+0031.581e+0032.161e+003

82821.515e+004-1.581e+0039.102e+003

82831.529e+0042.572e+0034.880e+002

83832.281e+004-2.572e+0037.740e+003

83842.301e+0043.58064-003-4359e+003

84843.787e+004-3.580e+0031.096e+004

84853.817e+0044.516e+003-1.151e+003

85855.288e+004-4.516e+0031.544e+004

85865.343e+0045.517e+0032.463e+003

86866.080e+004-5.51764-0031.167e+004

86876.150e+0046.595e+003-2.744e+003

87876.892e+004-6.595e4-0037.590e+003

87886.952e+0047.74464-003-9.175e+003

88887.695e+004-7.744e+0032.350e+003

88897.766e+0048.95164-003-1.560e+004

89898.512e+004-8.95164-003-2.648e+003

89908.574e+0041.006e+004-1.904e+004

90909.320e+004-1.006e+004-4.737e+003

90919.390e+0041.123e+004-2.127e+004

91911.014e+005-1.123e+004-5.388e+003

91921.020e+0051.24664-004-2.221e+004

92921.168e+005-1.246e+0041.247e+004

92931.175e+0051.375e+004-2.242e+003

93931.321e+005-1.375e+0043.215e+004

93941.329e+0051.492e+0042.201e+004

94941.474e+005-1.492e4-0045.388e+004

94951.483e+0051.615e+0044.698e+004

95951.624e+005-1.615e4-0048.495e+004

95961.634e+0051.710e+0048.179e+004

96961.634e+005-1.710e+0048.179e+004

96971.637e+0051.747e+0046.983e+004

97971.637e+0051.311e+0036.942e+004

97981.639e+005-9.396e+0027.080e+004

98981.639e+0059.396e+0027.080e+004

98991.643e+0052.161e-0037.286e+004

99991.643e+005-2.161e-0037.286e+004

991001.639e+0059.396e+0027.081e+004

1001001.639e+005-9.396e+0027.081e+004

1001011.637e+0051311e+0036.944e+004

1011011.637e+0051.747e+0046.985e+004

1011021.634e+005-1.710e+0048.194e+004

1021021.634e+0051.710e+0048.194e+004

1021031.624e+005-1.615e+0048.495e+004

1031031.483e+0051.615e+0044.698e+004

1031041.474e+005-1.492e+0045.390e+004

1041041.329e+0051.492e+0042.204e+004

1041051.321e+005-1.375e+0043.215e+004

1051051.175e+0051375e+004-2.242e+003

1051061.168e+005-1.246e+0041.248e+004

1061061.020e+0051.246e+004-2.220e+004

1061071.014e+005-1.123e+004-5.388e+003

1071079.390e+0041.123e+004-2.127e+004

1071089.320e+004-1.006e+004-4.737e+003

1081088.574e+0041.006e+004-1.904e+004

1081098.512e+004-8.951e+003-2.647e+003

1091097.766e+0048.951e+003-1.560e+004

1091107.695e+004-7.744e+0032.350e+003

1101106.952e+0047.744e+003-9.175e+003

1101116.892e+004-6.595e+0037.590e+003

1111116.150e+0046.595e+003-2.743e+003

1111126.080e+004-5.517e+0031.167e+004

1121125.343e+0045.517e+0032.463e+003

1121135.288e+004-4.516e+0031.544e+004

1131133.817e+0044.516e+003-1.150e+003

1131143.787e+004-3.580e+0031.096e+004

1141142301e+0043.580e+003-4359e+003

1141152.281e+004-2.572e+0037.740e+003

1151151.529e+0042.572e+0034.880e+002

1151161.515e+004-1.581e+0039.102e+003

1161167.642e+0031.581e+0032.161e+003

1161177.579e+003-6.000e+0026.909e+003

1171170.000e+0000.000e+0000.000e+000

1171180.000e+0000.000e+0000.000e+000

1181180.000e+0000.000e+0000.000e+000

1181190.000e+0000.000e+0000.000e+000

1191197.579e+003-6.000e+0026.909e+003

1191207.642e+0031.581e+0032.161e+003

1201201.515e+004-1.581e+0039.102e+003

1201211.529e+0042.572e+0034.880e+002

1211212.281e+004-2.572e+0037.740e+003

1211222.301e+0043.580e+003-4.359e+003

1221223.787e+004-3.580e+0031.096e+004

1221233.817e+0044.516e+003-1.151e+003

1231235.288e+004-4.516e+0031.544e+004

1231245.343e+0045.517e+0032.463e+003

1241246.080e+004-5.517e+0031.167e+004

1241256.150e+0046.595e+003-2.744e+003

1251256.892e+004-6.595e+0037.590e+003

1251266.952e+0047.744e+003-9.175e+003

1261267.695e+004-7.744e+0032.350e+003

1261277.766e+0048.951e+003-1.560e+004

1271278.512e+004-8.951e+003-2.648e+003

1271288.574e+0041.006e+004-1.904e+004

1281289.320e+004-1.006e+004-4.737e+003

1281299.390e+0041.123e+004-2.127e+004

1291291.014e+005-1.123e+004-5.388e+003

1291301.020e+0051.246e+004-2.221e+004

1301301.168e+005-1.246e+0041.247e+004

1301311.175e+0051375e+004-2.242e+003

1311311.321e+005-1.375e+0043.215e+004

1311321.329e+0051.492e+0042.201e+004

1321321.474e+005-1.492e+0045.388e+004

1321331.483e+0051.615e+0044.698e+004

1331331.624e+005-1.615e+0048.495e+004

1331341.634e+0051.710e+0048.179e+004

1341341.634e+005-1.710e+0048.179e+004

1341351.637e+0051.747e+0046.983e+004

1351351.637e+0051.311e+0036.941e+004

1351361.639e+005-9.397e+0027.080e+004

1361361.639e+0059.397e+0027.080e+004

1361371.643e+005-1.658e-0027.286e+004

1371371.643e+0051.658e-0027.286e+004

1371381.639e+0059396e+0027.081e+004

1381381.639e+005-9.396e+0027.081e+004

1381391.637e+0051311e+0036.943e+004

1391391.637e+0051.747e+0046.985e+004

1391401.634e+005-1.710e+0048.194e+004

1401401.634e+0051.710e+0048.194e+004

1401411.624e+005-1.615e+0048.495e+004

1411411.483e+0051.615e+0044.698e+004

1411421.474e+005-1.492e+0045390e+004

1421421.329e+0051.492e+0042.204e+004

1421431.321e+005-1.375e+0043.215e+004

1431431.175e+0051.375e+004-2.242e+003

1431441.168e+005-1.246e+0041.248e+004

1441441.020e+0051.246e+004-2.220e+004

1441451.014e+005-1.123e+004-5.387e+003

1451459390e+0041.123e+004-2.126e+004

1451469.320e+004-1.006e+004-4.733e+003

1461468.574e+0041.006e+004-1.904e+004

1461478.512e+004-8.951e+003-2.642e+003

1471477.766e+0048.951e+003-1.559e+004

1471487.696e+004-7.744e+0032.356e+003

1481486.953e+0047.744e+003-9.170e+003

1481496.892e+004-6.595e+0037.597e+003

1491496.150e+0046.595e+003-2.738e+003

1491506.081e+004-5.517e+0031.168e+004

1501505.343e+0045.517e+0032.470e+003

1501515.289e+004-4.516e+0031.545e+004

1511513.818e+0044.516e+003-1.146e+003

1511523.788e+004-3.580e+0031.096e+004

1521522.301e+0043.580e+003-4.358e+003

1521532.281e+004-2.572e+0037.743e+003

1531531.529e+0042.572e+0034.890e+002

1531541.515e+004-1.581e+0039.104e+003

1541547.643e+0031.581e+0032.162e+003

1541557.580e+003-6.000e+0026.910e+003

1551550.000e+0000.000e+0000.000e+000

155156O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

156156O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

156157O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

157157O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

157158O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

158158O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

158159O.OOOe+OOOO.OOOe+OOOO.OOOe+OOO

第16施工阶段应力结果

阶段累计应力：

主截面：

单元号左上缘左下缘右上缘右下缘

10000

20000

30000

40000

51.73-0.4521.170.505

62.880.06251.891.74

73.591.312.253.4

85.592.574.14.31

97.323.55.725.09

107.284.695.676.02

117.175.625.727

127.196.625.797.73

137.237.376.058.13

147.457.786.348.36

157.728.026.638.44

169.277.798.28.08

1710.67.629.717.78

1811.87.53117.59

1913.27.2111.26.17

2011.26.1710.96.53

2110.96.5510.96.52

2210.96.52116.47

23116.4710.96.52

2410.96.5210.96.55

2510.96.5311.26.17

2611.26.1713.27.21

27117.5911.87.53

289.717.7810.67.62

298.28.089.277.79

306.638.447.728.02

316.348.367.477.79

326.068.147.257.39

335.87.767.216.64

345.747.037.25.64

355.696.057.324.69

365.755.117.363.49

374.124.345.632.56

382.273.453.621.27

391.91.752.920.00164

401.190.4971.75-0.506

410000

420000

431.75-0.5061.190.497

442.920.001641.91.75

453.621.272.273.45

465.632.564.124.34

477.363.495.755.11

487324.695.696.05

497.25.645.747.03

507.216.645.87.76

517.257.396.068.14

527.477.796.348.36

537.728.026.638.44

549.277.798.28.08

5510.67.629.717.78

5611.87.53117.59

5713.27.2111.26.17

5811.26.1710.96.53

5910.96.5510.96.51

6010.96.51116.47

61116.4710.96.51

6210.96.5110.96.55

6310.96.5311.26.17

6411.26.1713.27.2

65117.5911.97.53

669.717.7810.67.62

678.28.089.287.79

686.638.447.728.02

696.358.367.477.79

706.078.147.257.39

715.817.767.216.64

725.747.037.25.64

735.696.057.324.69

745.755.117.363.49

754.124.345.632.56

762.273.453.621.27

771.91.752.920.00164

78