123456：均质土石坝枢纽建筑物设计
767.0488
0 0 0 0 0 0 4679.17 4930.2 4957.36 4661.29 3877.29 2727.88 575.443 360 373.212 387.191 404.039 430.722 467.222 517.32 0 3569.56 5193.9 6285.46 6739.85 5972.02 1571.44
稳定 要求
第二次试算
R=149 m，b=14.9m 计算过程计入表5-6中。
图5-6校核洪水位时下游坝坡稳定计算简图b
表5-7校核洪水位时下游坝坡稳定计算表b
编号 -3 -2 -1 0 1 2 3 4 5 6 7 8
0 0 36.0489 58.191 30.1859 30.7819 62.65 94.7849 89.2301 174.956 197.689 104.968
A1 A2
0 0 0 172.012 288.831 368.939 433.974 490.644 485.555 386.752 238.81 42.801
A30 0 0 77.828 229.46 197.83 140.43 57.346 0 0 0 0
A4
0 25.0925 106.37 0 0 0 0 0 0 0 0 0
94.9395 216.548 229.46 151.632 0 0 0 0 0 0 0 0
A5?1
20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4
19.8 19.8 19.8 19.8 19.8 19.8 19.8 19.8 19.8 19.8 19.8 19.8
?2
16.5 16.5 16.5 16.5 16.5 16.5 16.5 16.5 16.5 16.5 16.5 16.5
?3?4
20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.5
?5
18 18 18 18 18 18 18 18 18 18 18 18
32
123456：均质土石坝枢纽建筑物设计
b
14.9 14.9 14.9 14.9 14.9 14.9 14.9 14.9 14.9 14.9 14.9 14.9
?
0 0 0 0 0 12 17 24 30 37 44 53
sin?
0 0 0 0 0 0.18738 0.2639 0.36812 0.45399 0.54902 0.63742 0.73963
cos?
1 1 1 1 1 0.98229 0.9646 0.92978 0.89101 0.83581 0.77051 0.67301
sec?
1 1 1 1 1 1.01803 1.0367 1.07553 1.12233 1.19645 1.29784 1.48586
?
23 23 23 23 23 23 23 23 23 23 23 23
?'
40 40 40 40 40 40 40 40 40 40 40 40
tan?
0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787
0.72654 0.72654 0.72654 0.72654 0.72654 0.72654 0.72654 0.72654 0.72654 0.72654 0.72654 0.72654
tan?'
C 20 20 20 20 20 20 20 20 20 20 20 20
0 0 735.398 1187.1 615.793 627.951 1278.06 1933.61 1820.29 3569.1 4032.85 2141.34
W1
0 0 0 3405.85 5718.84 7304.99 8592.69 9714.74 9613.99 7657.69 4728.43 847.46
W2
W30 0 0 1284.17 3786.09 3264.27 2317.11 946.203 0 0 0 0
0 514.3963 2180.591
0 0 0 0 0 0 0 0 0
W4
1708.911 3897.869 4130.28 2729.371
0 0 0 0 0 0 0 0
W5W坝体0 0 735.3976 5877.109 10120.73 11197.21 12187.87 12594.56 11434.29 11226.78 8761.283 2988.797
1708.911 4412.266 6310.871 2729.371
0 0 0 0 0 0 0 0
W堆石W坝体cos?tan?0 0 277.8847 2220.783 3824.319 4156.15 4442.397 4424.921 3849.764 3545.728 2550.87 760.0818
W堆石cos?tan?'1241.592 3205.687 4585.1 1982.997
0 0 0 0 0 0 0 0
?W条块icos?tan?
Cbsec?
298 298 298 298 298 303.3735 308.9366 320.5079 334.4543 356.5421 386.7563 442.7863
Wsin?
0 0 0 0 0 2098.134 3216.378 4636.308 5191.053 6163.729 5584.617 2210.604
T S
Kc
1241.592 3205.687 4862.985 4203.78 3824.319 4156.15 4442.397 4424.921 3849.764 3545.728 2550.87 760.0818
45011.63
29100.82
1.547 >1.25 满足 稳定 要求
第三次试算 R= 168m；b=16.8m.
33
123456：均质土石坝枢纽建筑物设计
计算过程计入表5-8中。
图5-7校核洪水位时下游坝坡稳定计算简图c
表5-8校核洪水位时下游坝坡稳定计算表c
编号 -1
0 1 2 3 4 5 6 7 8
0 34.385 63.461 37.059 50.721 85.408 130.89 183.89 230.13 106.72
A1 A2
0 0 201.372 343.693 439.905 518.112 556.977 431.207 246.73 24.3434
A30 0 100.96 258.72 219.58 113.96 7.7522 0 0 0
A4
14.5624 116.483 0 0 0 0 0 0 0 0
279.658 258.72 157.763 0 0 0 0 0 0 0
A5?1
20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4
19.8 19.8 19.8 19.8 19.8 19.8 19.8 19.8 19.8 19.8
?2
16.5 16.5 16.5 16.5 16.5 16.5 16.5 16.5 16.5 16.5
?3?4
20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.5
?5
18 18 18 18 18 18 18 18 18 18
b
16.8 16.8 16.8 16.8 16.8 16.8 16.8 16.8 16.8 16.8
?
0 0 0 0 17 24 30 37 44 53
sin?
0 0 0 0 0.2639 0.3681 0.454 0.549 0.6374 0.7396
cos?
1 1 1 1 0.9646 0.9298 0.891 0.8358 0.7705 0.673
sec?
1 1 1 1 1.0367 1.0755 1.1223 1.1965 1.2978 1.4859
?
23 23 23 23 23 23 23 23 23 23
?'
40 40 40 40 40 40 40 40 40 40
tan?
0.3779 0.3779 0.3779 0.3779 0.3779 0.3779 0.3779 0.3779 0.3779 0.3779
0.7265 0.7265 0.7265 0.7265 0.7265 0.7265 0.7265 0.7265 0.7265 0.7265
tan?'
C 20 20 20 20 20 20 20 20 20 20
0 701.44 1294.6 756.01 1034.7 1742.3 2670.2 3751.4 4694.6 2177
W1
W2
0
W30
298.5292
W4
5033.851
34
W5W坝体0
5332.38
W堆石W坝体cos?tan?0
123456：均质土石坝枢纽建筑物设计
0
3987.17 6805.12 8710.11 10258.6 11028.1 8537.9 4885.25 481.999 0 1665.789 4268.88 3623.087 1880.275 127.9113
0 0 0 2387.893
0 0 0 0 0 0 0 0 4656.96 2839.736
0 0 0 0 0 0 0 701.4438 6947.555 11830 13367.9 13881.21 13826.24 12289.3 9579.898 2659.018 7044.853 2839.736
0 0 0 0 0 0 0 265.0546 2625.272 4470.203 4872.513 4876.969 4655.101 3881.301 2789.212 676.2156
W堆石cos?tan?'3874.188 5118.368 2063.182
0 0 0 0 0 0 0
?W条块icos?tan?3874.188 5383.422 4688.454 4470.203 4872.513 4876.969 4655.101 3881.301 2789.212 676.2156
Cbsec?
336 336 336 336 348.3312 361.3781 377.1029 402.0072 436.0742 499.249
Wsin?
0 0 0 0 3527.79 5109.952 6276.975 6747.074 6106.419 1966.689
T
43935.72
S
29734.9
1.478 >1.25 满足 稳定 要求
Kc
5.3.3设计洪水位时上游坝坡稳定计算
第一次试算R=149m，b=14.9m. 计算过程计入表5-9中
35
123456：均质土石坝枢纽建筑物设计
图5-8 设计洪水位时上游坝坡稳定计算简图a
表5-9 设计洪水位时上游坝坡稳定计算表a
编号 -2
-1 0 1 2 3 4 5 6 7
0 0 0 0 0 0 0 0 7.5208 164.94
A1 A2
137.66 203.8 277.81 351.8 420.5 437.1 428.02 389.93 308.02 61.548
A30 27.483 38.625 27.483 0 0 0 0 0 0
?1
2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04
1.98 1.98 1.98 1.98 1.98 1.98 1.98 1.98 1.98 1.98
?2
1.65 1.65 1.65 1.65 1.65 1.65 1.65 1.65 1.65 1.65
?3b
14.9 14.9 14.9 14.9 14.9 14.9 14.9 14.9 14.9 14.9
?
12 6 0 6 12 17 24 30 37 44
sin?
0.1874 0.094 0 0.094 0.1874 0.2639 0.3681 0.454 0.549 0.6374
cos?
0.9823 0.9956 1 0.9956 0.9823 0.9646 0.9298 0.891 0.8358 0.7705
sec?
1.018 1.004 1 1.004 1.018 1.0367 1.0755 1.1223 1.1965 1.2978
?
23 23 23 23 23 23 23 23 23 23
tan?
0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787 0.37787
C 20 20 20 20 20 20 20 20 20 20
W1
0 0 0 0 0 0 0 0 15.3424 336.475
W2
272.57 403.52 550.05 696.57 832.59 865.46 847.48 772.06 609.88 121.87
W3
W
272.574 448.863 613.785 741.919 832.594 865.458 847.478 772.061 625.22 458.34
0 45.35 63.73 45.35 0 0 0 0 0 0
Wcos?tan?
101.17 168.86 231.93 279.1 309.04 315.44 297.75 259.94 197.46 133.45
Cbsec?
303.4 299.2 298 299.2 303.4 308.9 320.5 334.5 356.5 386.8
Wsin?
51.0803 42.1931 0 69.7403 156.028 228.394 311.973 350.508 343.258 292.155
T S
Kc
5504.5 1845.33
2.9829 >1.35满足 稳定要求
第二次
R=172m,b=17.2m. 计算过程计入表5-10中。
36