拱桥悬链线计算表

7.670 4.579 4.105
6.147Hale Waihona Puke Baidu4.031 3.547
4.619 3.370 2.872
3.085 2.582 2.067
1.546 1.654 1.117
0.000 0.565 0.000
座标旋转 （以拱脚为原点）
预拱度 设预拱度拱顶纵坐标 设预拱度拱轴纵坐标 设预拱度拱腹纵坐标
设预拱度
0.176 -0.109 0.629
10
-1.733 -0.103
0.050 -0.058 0.501
11
-0.233 -0.014
0.001 -0.008 0.451
拱顶
12
11'
33
16.795
1/6
5.612
5.500
2.240
0.900
0.056
1.446
-0.233 -0.233
-0.014 -0.014
31.567 1.580 1.041
30.102 2.477 1.960
28.633 3.249 2.749
27.159 3.908 3.422
25.680 4.462 3.987
24.198 4.920 4.453
22.711 5.288 4.827
21.222 5.571 5.115
19.729 5.774 5.321
21.000 5.960 0.051 6.923 6.467 6.011 140.061 140.107 -0.046 140.010 140.055 -0.045
不设预拱度
X=X1*cosφ -Y1*sinφ 未设预拱度拱腹Y'=-(Y'-(D/2+f0))
△F=Δ f*(1-4*X2^2/L0^2) Yd=Yf+D/cosφ
Yz=Yf+(D/2)/cosφ Yf=Y1+△F
设计拱腹高程H2 施工单位拱腹高程计算值H2
设计-施工 设计拱腹高程H1 施工单位计算值拱腹高程H1
24.000 5.417 0.044 6.395 5.928 5.461 139.511 139.544 -0.033 139.467 139.500 -0.033
22.500 5.732 0.048 6.701 6.240 5.780 139.830 139.866 -0.036 139.782 139.817 -0.035
设计-施工
32.974 1.320 0.000 2.450 1.885 1.320 135.370 135.370 0.000 135.370 135.370 0.000
31.500 2.303 0.009 3.390 2.851 2.312 136.362 136.360 0.002 136.353 136.350 0.003
27.000 4.505 0.033 5.510 5.024 4.538 138.588 138.593 -0.005 138.555 138.560 -0.005
25.500 5.011 0.039 6.000 5.525 5.049 139.099 139.119 -0.020 139.061 139.080 -0.019
0.001 0.001
-0.008 -0.008
0.451
0.451
10'
1.269 0.076 0.027 0.043 0.477
9'
2.774 0.165 0.130 0.094 0.582
8'
4.283 0.255 0.311 0.146 0.766
7'
5.795 0.345 0.575 0.200 1.034
14.954 0.890 4.296 0.578 4.833
16.500 0.982 5.385 0.649 5.950
座标平移 （以拱脚为原点）
X=-(X-L0/2) 未设预拱度拱轴Y=-(Y-(D/2+f0)) 未设预拱度拱腹Y'=-(Y'-(D/2+f0))
33.000 0.565 0.000
1/4L 6'
7.310 0.435 0.926 0.256 1.391
拱脚
5'
4'
3'
2'
1'
0'
8.830 0.526 1.371 0.315 1.845
10.353 0.616 1.919 0.376 2.403
11.881 0.707 2.580 0.441 3.078
13.415 0.799 3.368 0.508 3.883
-9.180 -0.547 1.488 -0.328 1.963
1/4L 6
-7.698 -0.458
1.030 -0.271 1.497
拱圈
7
8
-6.211 -0.370 0.662 -0.215 1.123
-4.722 -0.281
0.379 -0.161 0.835
坐标计算表
9
-3.229 -0.192
18.233 5.900 5.449
16.733 5.949 5.499
16.733 5.949 5.499
16.733 5.949 5.499
15.231 5.923 5.473
13.726 5.820 5.368
12.217 5.639 5.184
10.705 5.375 4.916
9.190 5.024 4.559
拱脚
0
1
2
3
4
5
-16.500 -0.982 5.385 -0.649 5.950
-15.067 -0.897 4.370 -0.583 4.909
-13.602 -0.810 3.473 -0.516 3.990
-12.133 -0.722 2.701 -0.451 3.201
-10.659 -0.635 2.042 -0.389 2.528
净跨径 1/2计算跨径
失跨比 计算失高
净失高 设计拱轴系数
拱圈厚度 拱顶预拱度
K 横坐标
未设预拱度拱轴纵坐标 拱轴线上任意点水平倾角 未设预拱度拱腹纵坐标
L0 L/2 R f f0=L0*R m D Δ f=L/600 k=ln(m+(m^2-1)^0.5) X ξ =X/(L/2) y=f/(m-1)*(ch(k*ξ )-1) φ =argtg(2fKshKξ /L/(m-1)) y1=y+D/2/cosφ
30.000 3.162 0.018 4.215 3.698 3.180 137.230 137.224 0.006 137.212 137.205 0.007
28.500 3.892 0.026 4.918 4.418 3.918 137.968 137.981 -0.013 137.942 137.955 -0.013