泉州后渚大桥主桥120m预应力混凝土连续刚构计算书.docx
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泉州后渚大桥主桥120m预应力混凝土连续刚构计算书.docx
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泉州后渚大桥主桥120m预应力混凝土连续刚构计算书
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
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3.5×104Mpa,抗压设计强度28.5Mpa,线膨胀系数α=1×10-5,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1.95×105MPa,钢绞线采用ASTMA416-92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φ内100mm和φ内76mm两种波纹管。
单个锚具回缩6mm,成孔面积对应φ内100mm和φ内76mm两种波纹管分别为10568mm2和6504mm2,孔道摩阻系数μ=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:
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)
0.0
0.2
h-1.2
h-0.6
h-0.4
h-0.25
h-0.1
h
温度(℃)
1.5
0.0
0.0
0.6
1.0
6.2
13.0
20.0
模式二
至箱底距(m)
0.0
0.25
h-0.45
h-0.25
h
温度(℃)
-6.5
-1.0
0.0
-0.5
-8.4
3.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 1.1
7.竖向预应力
每根粗钢筋设计张拉控制应力σK=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:
σS=0.002*2*105/2.8+7%*675=190.1Mpa≈0.3σK。
近似按全部粗钢筋有效拉应力0.7σK。
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
110.000e+0000.000e+0000.000e+000
120.000e+0000.000e+0000.000e+000
220.000e+0000.000e+0000.000e+000
230.000e+0000.000e+0000.000e+000
330.000e+0000.000e+0000.000e+000
340.000e+0000.000e+0000.000e+000
440.000e+0000.000e+0000.000e+000
450.000e+0000.000e+0000.000e+000
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+005-1.123e+004-5.387e+003
15161.020e+0051.246e+004-2.221e+004
16161.168e+005-1.246e+0041.247e+004
16171.175e+0051.375e+004-2.242e+003
17171.321e+005-1.375e+0043.215e+004
17181.329e+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+0051.311e+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+0051.375e+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
31329.320e+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+0048.951e+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+0000.000e+0000.000e+000
41420.000e+0000.000e+0000.000e+000
42420.000e+0000.000e+0000.000e+000
42430.000e+0000.000e+0000.000e+000
43437.579e+003-6.000e+0026.909e+003
43447.642e+0031.581e+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+0043.580e+003-4.359e+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+0045.517e+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+0048.951e+003-1.560e+004
51518.512e+004-8.951e+003-2.648e+003
51528.574e+0041.006e+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+0051.615e+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+0000.000e+000
79800.000e+0000.000e+0000.000e+000
80800.000e+0000.000e+0000.000e+000
80810.000e+0000.000e+0000.000e+000
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+0043.580e+003-4.359e+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+004-5.517e+0031.167e+004
86876.150e+0046.595e+003-2.744e+003
87876.892e+004-6.595e+0037.590e+003
87886.952e+0047.744e+003-9.175e+003
88887.695e+004-7.744e+0032.350e+003
88897.766e+0048.951e+003-1.560e+004
89898.512e+004-8.951e+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+0051.246e+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+005-1.492e+0045.388e+004
94951.483e+0051.615e+0044.698e+004
95951.624e+005-1.615e+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.
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