重力坝计算程序
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|
8.000 |
6.000 |
7.600 |
Hd |
6.500 |
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x |
1.000 |
2.000 |
3.000 |
4.000 |
5.000 |
6.000 |
7.000 |
8.000 |
9.000 |
10.000 |
11.000 |
12.000 |
13.000 |
| x |
0.000 |
1.000 |
2.000 |
3.000 |
4.000 |
5.000 |
6.000 |
7.000 |
8.000 |
9.000 |
10.000 |
10.270 |
6.000 |
6.100 |
6.300 |
6.310 |
6.320 |
6.330 |
6.340 |
6.350 |
6.37 |
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y |
0.102 |
0.367 |
0.777 |
1.324 |
2.000 |
2.803 |
3.728 |
4.772 |
5.934 |
7.211 |
8.601 |
10.104 |
11.716 |
| y |
0.000 |
0.102 |
0.367 |
0.777 |
1.324 |
2.000 |
2.803 |
3.728 |
4.772 |
5.934 |
7.211 |
7.575 |
2.803 |
2.890 |
3.067 |
3.076 |
3.085 |
3.095 |
3.104 |
3.113 |
3.131 |
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| y' |
0.000 |
0.188 |
0.340 |
0.479 |
0.612 |
0.740 |
0.864 |
0.985 |
1.104 |
1.220 |
1.334 |
1.365 |
0.864 |
0.876 |
0.901 |
0.902 |
0.903 |
0.904 |
0.906 |
0.907 |
0.909 |
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y' |
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| 1/m |
0.909 |
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| Hw |
0.500 |
1.000 |
1.500 |
2.000 |
2.500 |
3.000 |
3.500 |
4.000 |
4.500 |
5.000 |
5.500 |
5.600 |
6.000 |
6.500 |
7.0 |
7.5 |
8.0 |
8.5 |
9.0 |
9.5 |
10.0 |
10.5 |
11.0 |
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| Hw/Hd |
0.077 |
0.154 |
0.231 |
0.308 |
0.385 |
0.462 |
0.538 |
0.615 |
0.692 |
0.769 |
0.846 |
0.862 |
0.923 |
1.000 |
1.077 |
1.154 |
1.231 |
1.308 |
1.385 |
1.462 |
1.538 |
1.615 |
1.692 |
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| m |
0.436 |
0.436 |
0.436 |
0.436 |
0.436 |
0.436 |
0.446 |
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| Hw/Hd |
0.400 |
0.500 |
0.600 |
0.700 |
0.800 |
0.900 |
1.000 |
1.100 |
1.200 |
1.300 |
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| Hw/P |
0.436 |
0.451 |
0.464 |
0.476 |
0.486 |
0.494 |
0.501 |
0.507 |
0.510 |
0.513 |
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| C |
1.000 |
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| B |
24.000 |
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| b |
8.000 |
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| g |
9.800 |
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| δs |
1.000 |
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| n |
3.000 |
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| ε |
0.920 |
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| m |
0.403 |
0.413 |
0.422 |
0.432 |
0.441 |
0.451 |
0.461 |
0.470 |
0.480 |
0.490 |
0.499 |
0.501 |
0.499 |
0.501 |
0.503 |
0.505 |
0.508 |
0.510 |
0.512 |
0.514 |
0.515 |
0.513 |
0.513 |
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| H |
0.500 |
1.000 |
1.500 |
2.000 |
2.500 |
3.000 |
3.500 |
4.000 |
4.500 |
5.000 |
5.500 |
5.600 |
6.000 |
6.500 |
7 |
7.5 |
8 |
8.5 |
9 |
9.5 |
10 |
10.5 |
11 |
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| Q |
13.925 |
40.328 |
75.818 |
119.393 |
170.579 |
229.126 |
294.899 |
367.832 |
447.903 |
535.120 |
629.510 |
649.253 |
716.378 |
811.587 |
911.118 |
1014.858 |
1122.701 |
1234.555 |
1350.333 |
1469.958 |
1593.358 |
1706.194 |
1829.505 |
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0.175 |
0.276 |
0.282 |
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| x |
1.138 |
1.794 |
1.833 |
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0.500 |
0.200 |
0.040 |
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| R |
3.250 |
1.300 |
0.260 |
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| hp |
H |
yi |
q |
cosα |
hp |
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| 4.336 |
8.000 |
0.000 |
44.583 |
0.600 |
4.343 |
0.007 |
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| 4.335 |
|
4.339 |
0.004 |
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| 挑距计算 |
上游水位 |
下游水位 |
hc |
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| 坎顶高程 |
595.120 |
校核水位 |
661.500 |
589.070 |
1.361 |
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| 河床高程 |
582.200 |
设计水位 |
661.500 |
586.850 |
1.307 |
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| H0 |
66.380 |
抗冲设计水位 |
658.350 |
586.300 |
0.631 |
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| V1 |
37.831 |
ψ=1/（αc+ε）^0.5 |
0.953 |
66.380 |
63.230 |
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| θ |
25.000 |
αc |
1.000 |
37.831 |
36.922 |
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| 弧度 |
0.436 |
ε |
0.100 |
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| h |
1.178 |
g |
9.800 |
1.178 |
0.576 |
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| cosθ |
0.906 |
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| sinθ |
0.422 |
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| h1 |
1.300 |
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1.300 |
0.635 |
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| h2 |
12.920 |
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| φ |
0.900 |
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| 挑距L |
136.776 |
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136.776 |
130.300 |
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| △L |
8.663 |
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|
6.994 |
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| 冲坑深度计算 |
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| 水垫厚度Tk |
17.531 |
17.664 |
12.087 |
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| k |
0.900 |
0.900 |
0.900 |
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| 溢流净宽 |
24.000 |
24.000 |
24.000 |
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| 单宽流量q |
44.583 |
44.583 |
21.250 |
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| 上下游水位差H |
72.430 |
74.650 |
72.050 |
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| 河床水深H河 |
6.870 |
4.650 |
4.100 |
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| 水垫厚度Tk' |
10.661 |
13.014 |
7.987 |
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| β |
40.000 |
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| 弧度 |
0.698 |
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| tgβ |
0.838 |
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| L/Tk' |
13.642 |
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10.510 |
17.189 |
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| 坝顶高程的确定 |
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| 基本数据 |
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| Pi |
3.142 |
|
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| 设计洪水位 |
661.500 |
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| 校核洪水位 |
661.500 |
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| 风速V0 |
9.100 |
13.650 |
| 吹程假定D |
1.000 |
1.000 |
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| 坝基高程 |
578.300 |
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| hl波高 |
0.375 |
0.623 |
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| L波长 |
4.747 |
7.121 |
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| 安全超高 |
设计情况 |
校核情况 |
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| 0.4 |
0.30 |
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| ex |
6.7E+47 |
6.7E+47 |
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| e-x |
1.49529E-48 |
1.49529E-48 |
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| cth |
1 |
1 |
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| Hz波浪中心线高于静水位的高度 |
0.171138792 |
0.093156159 |
|
11.032 |
0.185 |
H0 |
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| 坝顶超高 |
1.194 |
0.768 |
|
7.957 |
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| 坝顶高程 |
662.694 |
662.268 |
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| 取两者较大值 |
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| 重力坝稳定计算 |
|
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| 基本数据 |
泄流量Q |
0.000 |
|
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| 坝顶高程 |
662.268 |
上游水位 |
548.000 |
堰顶净宽B |
24.000 |
L坝轴线下游宽 |
-20.5 |
|
| 坝基高程 |
578.300 |
相应下游水位 |
490.000 |
闸门高h |
8.000 |
帷幕灌浆廊道离坝轴线距离 |
5.0 |
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| 三角形顶点高程 |
552.000 |
泥沙高程 |
505.700 |
Φ1 |
52.000 |
帷幕灌浆廊道离排水管中心线距离 |
2.0 |
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| 坝顶宽b |
8.000 |
f'抗剪断摩擦系数 |
0.900 |
Φ2 |
25.000 |
坝底宽 |
-20.5 |
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| 下游坡率m |
0.780 |
c'抗剪断凝聚力 |
90.000 |
α1 |
0.450 |
H水头差 |
58.0 |
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| 上游坡率n |
0.200 |
r砼 |
2.300 |
α2 |
0.200 |
坝高 |
83.97 |
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| 风速V0 |
13.000 |
r水 |
1.000 |
g |
10.000 |
宽高比 |
-0.24 |
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| 吹程假定D |
1.000 |
r沙 |
1.400 |
y计算水深 |
(30.300) |
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| 荷载 |
大小 |
力臂 |
力矩 |
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| V1坝自重 |
620.446 |
(3.419) |
(2121.305) |
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| V2坝自重 |
2123.296 |
(18.138) |
(38513.400) |
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| V3下游水自重 |
3040.787 |
(12.701) |
(38621.037) |
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| H1上游静水压力 |
(459.045) |
(10.100) |
4636.354 |
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| H2下游静水压力 |
3898.445 |
(29.433) |
(114744.231) |
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| H3泥沙压力 |
(1054.152) |
(24.200) |
25510.478 |
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| H4浪压力 |
(0.648) |
(30.727) |
19.922 |
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| H5动水压力 |
0.000 |
|
0.000 |
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| V7动水重 |
0.000 |
|
0.000 |
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| V8扬压力 |
(1811.386) |
0.000 |
0.000 |
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| V9扬压力 |
(210.250) |
(12.441) |
2615.701 |
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| V10扬压力 |
(37.700) |
(16.129) |
608.056 |
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| V11扬压力 |
159.581 |
(10.419) |
(1662.677) |
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计扬压力情况 |
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| 持久状况基本组合 |
W |
P |
U |
M |
W |
P |
U |
M |
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| 合计(正常情况) |
5784.529 |
2384.600 |
(1899.755) |
(163833.217) |
3884.774 |
2384.600 |
-1899.8 |
-162272.1 |
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| Ks' |
(0.692) |
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| 结论 |
满足 |
>=3.0 |
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| 不计扬压力 |
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| 水平截面上正应力 |
σyu |
(2617.870) |
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σyd |
2053.911 |
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| 剪应力 |
τu |
517.514 |
pu |
(30.300) |
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τd |
1670.925 |
pd |
(88.300) |
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| 水平正应力 |
σxu |
(133.803) |
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σxd |
1215.021 |
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| 主应力 |
σ1u |
(2721.373) |
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σ1d |
3357.232 |
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σ2u |
(30.300) |
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σ2d |
(88.300) |
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| x |
0.000 |
10.000 |
20.000 |
30.000 |
40.000 |
50.000 |
59.3 |
66.3 |
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| x' |
|
0.0 |
7.0 |
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| 内部应力计算 |
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| 坝内水平截面上正应力 |
a |
2053.911 |
b |
227.736 |
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| σy= |
2053.911 |
4331.273 |
6608.636 |
8885.998 |
11163.361 |
13440.723 |
15558.7 |
17152.8 |
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| 坝内剪应力 |
a1 |
1670.925 |
b1 |
342.267 |
c1 |
13.944 |
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| τ |
1670.925 |
5233.035 |
8795.145 |
12357.255 |
15919.366 |
19481.476 |
22794.2 |
25287.7 |
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| 坝内水平正应力 |
a2 |
1215.021 |
b2 |
396.396 |
c2 |
32.973 |
d2 |
0.8 |
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|
τ'd |
129.428 |
τ'u |
36.594 |
p' |
(58.000) |
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| σx |
1215.021 |
9308.664 |
28991.115 |
65256.542 |
123099.115 |
207513.001 |
314241.8 |
415014.7 |
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| 坝内主应力 |
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| σ1 |
3357.232 |
12614.644 |
32033.583 |
67846.444 |
125319.119 |
209449.284 |
315971.3 |
416615.5 |
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| σ2 |
(88.300) |
1025.294 |
3566.168 |
6296.097 |
8943.357 |
11504.441 |
13829.1 |
15552.0 |
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| Φ1 |
(119.237) |
101.419 |
59.947 |
37.187 |
24.941 |
17.832 |
13.6 |
11.4 |
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| 计扬压力 |
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| σy浮托力 |
88.300 |
σx |
|
| τxy |
0.000 |
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| 全断面渗透压力 |
a3 |
8.649 |
b3 |
(0.422) |
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| σy全断面渗透压力 |
0.000 |
(4.216) |
(8.432) |
(12.648) |
(16.864) |
(21.080) |
-25.0 |
-28.0 |
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| σx=σy |
|
| τ |
0.000 |
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| σy局部三角形断面渗透压力 |
r |
(0.244) |
p0 |
49.351 |
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| a4 |
(14.960) |
b4 |
(2.045) |
|
| σy |
(14.960) |
(35.410) |
(55.859) |
(76.308) |
(96.758) |
(117.207) |
-136.2 |
-150.5 |
|
| σyu |
26.989 |
|
| σyd |
(14.960) |
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| o'点下游段 |
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| o'下游水位以上(y为计算断面水深) |
a5 |
(11.669) |
b5 |
(1.101) |
c5 |
0.000 |
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| o'下游水位以下 |
a5 |
(11.669) |
b5 |
(1.595) |
c5 |
(0.098) |
|
| 剪应力τxy(o' 以上） |
(11.669) |
(22.682) |
(33.695) |
(44.708) |
(55.721) |
(66.734) |
-77.0 |
-84.7 |
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| o'下游水位以下 |
(11.669) |
(37.389) |
(82.646) |
(147.442) |
(231.776) |
(335.648) |
-449.8 |
-546.8 |
|
| o'点上游段 |
[ a5] |
0.000 |
[b5] |
(0.439) |
[c5]≈ |
0.000 |
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|
[c5]尾水位以下 |
0.236 |
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| 剪应力τxy尾水以上 |
|
-87.8 |
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| 剪应力τxy尾水以下 |
|
-76.2 |
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| 水平正应力(o'点下游段) |
a6 |
(9.102) |
b6 |
(0.474) |
c6 |
0.000 |
d6 |
0.0 |
|
| 水平正应力尾水位以下 |
|
(0.859) |
c6 |
(0.152) |
d6 |
0.0 |
|
| σx水平正应力尾水位以上 |
(9.102) |
(13.841) |
(18.580) |
(23.319) |
(28.058) |
(32.797) |
-37.2 |
-40.5 |
|
| σx水平正应力尾水位以下 |
(9.102) |
(34.487) |
(99.686) |
(214.032) |
(386.859) |
(627.501) |
-920.3 |
-1189.3 |
|
| o'点上游段 |
[ a6] |
0.000 |
[b6] |
(7.969) |
[c6]≈ |
0.000 |
[d6] |
0.0 |
|
|
[c6]≈ |
(0.207) |
|
-0.154 |
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| σx水平正应力尾水位以上 |
|
-37.2 |
-96.3 |
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| σx水平正应力尾水位以下 |
|
-37.2 |
-1189.3 |
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| 扬压力情况 |
|
| x |
66.300 |
60.000 |
50.000 |
40.000 |
30.000 |
20.000 |
7.0 |
0.0 |
|
| σy |
73.340 |
48.674 |
24.009 |
(0.656) |
(25.322) |
(49.987) |
-72.9 |
-90.2 |
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| σx水平正应力尾水位以上 |
79.198 |
70.243 |
61.288 |
52.333 |
43.378 |
34.423 |
-11.1 |
-76.5 |
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| σx水平正应力尾水位以下 |
79.198 |
49.596 |
(19.818) |
(138.381) |
(315.424) |
(560.281) |
-894.2 |
-2318.3 |
|
| 剪应力τxy尾水以上 |
(11.669) |
(22.682) |
(33.695) |
(44.708) |
(55.721) |
(66.734) |
-77.0 |
-172.4 |
|
| 剪应力τxy尾水以下 |
(11.669) |
(37.389) |
(82.646) |
(147.442) |
(231.776) |
(335.648) |
-449.8 |
-623.0 |
|
| 总 应 力 |
|
| σy |
2127.251 |
4379.948 |
6632.645 |
8885.342 |
11138.039 |
13390.736 |
15485.7 |
17062.6 |
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| σx水平正应力尾水位以上 |
1294.219 |
9378.908 |
29052.403 |
65308.876 |
123142.493 |
207547.425 |
314230.7 |
414938.2 |
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| σx水平正应力尾水位以下 |
1294.219 |
9358.261 |
28971.297 |
65118.162 |
122783.691 |
206952.720 |
313347.5 |
412696.4 |
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| 剪应力τxy尾水以上 |
1659.255 |
5210.353 |
8761.450 |
12312.547 |
15863.645 |
19414.742 |
22717.3 |
25115.3 |
|
| 剪应力τxy尾水以下 |
1659.255 |
5195.646 |
8712.499 |
12209.813 |
15687.590 |
19145.828 |
22344.5 |
24664.7 |
|
| 主应力 |
|
|
|
|
|
|
|
|
|
| σ1 |
3421.470 |
12658.284 |
32070.117 |
67878.639 |
125345.976 |
209469.773 |
315948.3 |
416517.3 |
|
| σ2尾水位以上 |
0.000 |
1100.572 |
3614.931 |
6315.578 |
8934.556 |
11468.388 |
13768.1 |
15483.5 |
|
| σ2尾水位以下 |
0.000 |
1107.972 |
3636.468 |
6348.660 |
8975.622 |
11515.136 |
13818.9 |
15530.9 |
|
| Φ1尾水位以上 |
(119.237) |
101.116 |
59.707 |
37.036 |
24.843 |
17.765 |
13.6 |
11.3 |
|
| Φ1尾水位以上（度） |
(119.237) |
101.162 |
59.620 |
36.872 |
24.656 |
17.577 |
13.4 |
11.2 |
|
| 参考检验计算 |
|
|
应力检验(应用期） |
|
|
| σyu |
(2503.005) |
|
坝面正应力σy |
坝体最小主应力σmin |
|
|
| σyd |
2124.261 |
不计扬压力 |
σymax |
2053.911 |
<=坝基容许应力 |
15~20MPa(1MPa相当于100t/m2) |
15552.0 |
>= r*H/4 |
-7.6 |
|
| τu |
494.541 |
σymin |
17152.824 |
>=0 |
|
|
|
|
|
| τd |
1725.798 |
计扬压力 |
σymax |
2127.251 |
坝基容许应力 |
|
15530.9 |
>=0(压应力） |
|
|
| σxu |
(129.208) |
σymin |
17062.632 |
>=0 |
|
|
|
|
|
| σxd |
1257.822 |
|
|
|
|
|
|
|
|
|
|
|
| 重力坝稳定计算 |
|
|
力 |
荷载分项系数 |
|
| 基本数据 |
泄流量Q |
1070.000 |
|
|
|
自重 |
9206.974 |
1.000 |
9206.974 |
| 坝顶高程 |
663.000 |
上游水位 |
661.500 |
堰顶净宽B |
24.000 |
底宽 |
84.625 |
77.425 |
7.200 |
静水重 |
558.609 |
1.000 |
558.609 |
| 坝基高程 |
574.000 |
相应下游水位 |
589.070 |
闸门高h |
8.000 |
帷幕灌浆廊道离坝轴线距离 |
5.000 |
|
动水重 |
0.000 |
1.200 |
0.000 |
| 三角形顶点高程 |
661.500 |
泥沙高程 |
612.750 |
Φ1 |
55.000 |
帷幕灌浆廊道离排水管中心线距离 |
2.000 |
|
静水压力 |
(3714.573) |
1.000 |
(3714.573) |
| 坝顶宽b |
6.000 |
f'抗剪断摩擦系数 |
0.900 |
Φ2 |
25.000 |
坝底宽 |
84.625 |
|
动水压力 |
0.000 |
1.050 |
0.000 |
| 下游坡率m |
0.950 |
c'抗剪断凝聚力 |
100.000 |
α1 |
0.500 |
H水头差 |
72.430 |
|
渗透压力 |
(1667.701) |
1.200 |
(2001.241) |
| 上游坡率n |
0.200 |
r砼 |
2.400 |
α2 |
0.300 |
坝高 |
89.000 |
|
浮托力 |
(1275.299) |
1.000 |
(1275.299) |
| 风速V0 |
9.100 |
r水 |
1.000 |
g |
10.000 |
宽高比 |
0.951 |
|
风浪压力 |
(1.275) |
1.200 |
(1.529) |
| 吹程假定D |
1.000 |
r沙 |
1.200 |
y计算水深 |
87.500 |
鼻坎高程 |
595.120 |
|
泥沙压力 |
(58.373) |
1.200 |
(70.048) |
| 折坡点高程 |
610.000 |
|
12.200 |
28.972 |
33.852 |
|
总地震力 |
(1589.402) |
1.000 |
(1589.402) |
| 荷载 |
大小 |
力臂 |
力矩 |
|
f' |
0.900 |
1.300 |
0.692 |
| V1坝自重 |
1281.600 |
32.113 |
41155.380 |
|
c' |
100.000 |
3.000 |
33.333 |
| V2坝自重 |
6550.030 |
5.109 |
33465.193 |
上游水重1 |
上游水重2 |
v4坝自重 |
|
A |
84.625 |
|
| V3坝自重 |
311.040 |
37.513 |
11667.888 |
370.800 |
129.600 |
1064.304 |
|
γ0 |
1.000 |
|
| 上游水重 |
500.400 |
3.289 |
19527.255 |
38.713 |
39.913 |
(5.358) |
|
Ψ |
0.850 |
|
| V3下游水自重 |
58.209 |
(38.807) |
(2258.910) |
14354.595 |
5172.660 |
(5702.009) |
|
γd2 |
1.200 |
|
| H1上游静水压力 |
(3828.125) |
29.167 |
(111653.646) |
|
G |
6489.043 |
|
| H2下游静水压力 |
113.552 |
5.023 |
570.412 |
|
P |
(5375.552) |
|
| H3泥沙压力 |
(58.373) |
12.917 |
(753.990) |
|
|
1.334 |
≥1 |
|
| H4浪压力 |
(1.275) |
87.261 |
(111.219) |
|
|
| H5动水压力 |
0.000 |
0.000 |
0.000 |
|
|
| V7动水重 |
0.000 |
0.000 |
0.000 |
|
|
| V8浮托力 |
(1275.299) |
0.000 |
0.000 |
|
|
| V9扬压力 |
(1432.377) |
14.104 |
(20202.484) |
|
|
| V10扬压力 |
(235.324) |
38.246 |
(9000.153) |
|
|
| V11扬压力 |
|
(20280.661) |
计扬压力情况 |
0.000 |
总竖向地震力 |
231.325 |
|
|
| Q0地震水平力 |
(345.262) |
动水压力P0 |
(1244.141) |
(50935.117) |
动土压力 |
(0.052) |
总水平地震力 |
(1589.402) |
|
|
| 持久状况基本组合 |
W |
P |
U |
M |
Wu |
Mu |
U |
M |
|
|
| 合计（校核情况) |
9996.908 |
(3774.220) |
(2943.000) |
(14093.645) |
7053.908 |
(43296.282) |
(2943.000) |
(29202.637) |
|
|
| Ks' |
2.761 |
(5363.623) |
|
(85309.424) |
7053.908 |
(114512.060) |
计入地震荷载 |
|
|
| 结论 |
满足 |
>=2.5 |
|
|
| 不计扬压力情况 |
|
计扬压力情况 |
|
|
| 水平截面上正应力 |
σyu |
46.657 |
σyu |
(12.586) |
|
|
|
σyd |
189.606 |
σyd |
179.296 |
|
|
| 剪应力 |
τu |
8.169 |
pu |
87.500 |
|
|
|
τd |
165.809 |
pd |
15.070 |
|
|
| 水平正应力 |
σxu |
85.866 |
|
|
|
σxd |
172.589 |
|
|
|
计扬压力情况 |
|
|
| 主应力 |
σ1u |
45.024 |
σ1u |
(16.590) |
|
|
|
σ1d |
347.125 |
σ1d |
327.510 |
|
|
|
σ2u |
87.500 |
|
|
|
|
|
σ2d |
15.070 |
|
|
| x |
0.000 |
10.000 |
20.000 |
30.000 |
40.000 |
50.000 |
60.000 |
70.000 |
79.625 |
84.625 |
84.625 |
|
| x' |
|
0.000 |
7.200 |
12.200 |
5.000 |
|
| 内部应力计算 |
|
|
| 坝内水平截面上正应力 |
a |
189.606 |
b |
(1.689) |
|
|
| σy=a+bx |
189.606 |
172.714 |
155.822 |
138.930 |
122.038 |
105.146 |
88.254 |
71.362 |
55.103 |
46.657 |
|
| 坝内剪应力 |
a1 |
165.809 |
b1 |
(4.868) |
c1 |
0.036 |
|
|
| τ=a+bx+cx2 |
165.809 |
120.678 |
82.650 |
51.724 |
27.902 |
11.183 |
1.567 |
(0.946) |
3.343 |
8.169 |
|
| 坝内水平正应力 |
a2 |
172.589 |
b2 |
(6.635) |
c2 |
0.119 |
d2 |
(0.0008) |
|
|
|
τ'd |
(1.770) |
τ'u |
(0.441) |
p' |
(92.740) |
|
|
| σx=a+bx+cx2+dx3 |
172.589 |
117.381 |
81.394 |
60.022 |
48.663 |
42.712 |
37.566 |
28.619 |
12.125 |
(0.876) |
|
| 坝内主应力 |
|
|
| σ1 |
347.125 |
268.857 |
209.250 |
164.530 |
131.443 |
107.089 |
88.302 |
71.383 |
55.362 |
48.022 |
|
| σ2 |
15.070 |
21.239 |
27.967 |
34.422 |
39.258 |
40.770 |
37.517 |
28.598 |
11.867 |
(2.241) |
|
| Φ1 |
(43.553) |
(38.563) |
(32.897) |
(26.346) |
(18.637) |
(9.860) |
(1.770) |
1.268 |
(4.424) |
(9.489) |
|
| 计扬压力 |
|
|
| σy=σx浮托力 |
(15.070) |
|
|
| τxy |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
| 全断面渗透压力 |
a3 |
33.852 |
b3 |
(0.400) |
|
|
| σy=σx全断面渗透压力 |
0.000 |
(4.000) |
(8.001) |
(12.001) |
(16.001) |
(20.001) |
(24.002) |
(28.002) |
(31.852) |
(33.852) |
(33.852) |
|
| σx=σy |
0.000 |
(2.307) |
(4.613) |
(6.920) |
(9.227) |
(11.533) |
(13.840) |
(16.147) |
(18.374) |
(21.960) |
(20.960) |
|
| τ |
0.000 |
|
|
| σy局部三角形断面渗透压力 |
r |
0.144 |
p0 |
38.578 |
|
|
| a4 |
4.760 |
b4 |
(0.178) |
|
|
| σy=a+bx |
4.760 |
2.978 |
1.196 |
(0.587) |
(2.369) |
(4.151) |
(5.933) |
(7.715) |
(9.430) |
(10.321) |
|
| σyu=-p0(2r-r2) |
(10.321) |
|
|
| σyd=p0(r-r2) |
4.760 |
|
|
| o'点下游段 |
|
|
| o'下游水位以上(y为计算断面水深) |
a5 |
4.522 |
b5 |
(0.115) |
c5 |
0.000 |
|
|
| o'下游水位以下 |
a5 |
4.522 |
b5 |
(0.169) |
c5 |
0.002 |
|
|
| 剪应力τxy(尾水位以上）=a+bx+cx2 |
4.522 |
3.373 |
2.224 |
1.075 |
(0.074) |
(1.223) |
(2.372) |
(3.521) |
(4.627) |
(5.202) |
(5.202) |
|
| o'下游水位以下 |
4.522 |
3.071 |
2.104 |
1.622 |
1.625 |
2.111 |
3.082 |
4.537 |
6.396 |
7.538 |
7.538 |
|
| o'点上游段 |
[ a5] |
0.000 |
[b5]=n2 |
(0.034) |
[c5]≈ |
0.000 |
|
|
|
[c5]尾水位以下 |
(0.021) |
|
|
| 剪应力τxy尾水以上=a+bx+cx2 |
4.522 |
3.373 |
2.224 |
1.075 |
(0.074) |
(1.223) |
(2.372) |
(3.521) |
(4.874) |
(5.619) |
(5.373) |
|
| 剪应力τxy尾水以下=a+bx+cx2 |
4.522 |
3.071 |
2.104 |
1.622 |
1.625 |
2.111 |
3.082 |
4.537 |
5.036 |
3.923 |
6.830 |
|
| 水平正应力(o'点下游段)（尾水位以上） |
a6 |
4.296 |
b6 |
(0.057) |
c6 |
0.005 |
d6 |
0.000 |
|
|
| 水平正应力尾水位以下 |
|
(0.109) |
c6 |
0.000 |
d6 |
(0.000) |
|
|
| σx水平正应力尾水位以上 |
4.296 |
4.181 |
4.987 |
6.713 |
9.359 |
12.925 |
17.412 |
22.819 |
28.892 |
32.384 |
32.384 |
|
| σx水平正应力尾水位以下 |
4.296 |
3.193 |
2.025 |
0.725 |
(0.773) |
(2.533) |
(4.623) |
(7.108) |
(9.934) |
(11.590) |
(11.590) |
|
| o'点上游段(尾水位以上) |
[ a6] |
0.000 |
[b6] |
(3.158) |
[c6]≈ |
0.000 |
[d6] |
0.000 |
|
|
| o'点上游段(尾水位以下) |
|
[c6]≈ |
0.001 |
[d6] |
0.016 |
|
|
| σx水平正应力尾水位以上 |
4.296 |
4.181 |
4.987 |
6.713 |
9.359 |
12.925 |
17.412 |
22.819 |
6.152 |
(6.149) |
16.592 |
|
| σx水平正应力尾水位以下 |
4.296 |
3.193 |
2.025 |
0.725 |
(0.773) |
(2.533) |
(4.623) |
(7.108) |
(9.934) |
(11.590) |
(11.590) |
|
| 扬压力情况 |
从下游～上游 |
|
|
| x |
84.625 |
79.625 |
70.000 |
60.000 |
50.000 |
40.000 |
30.000 |
20.000 |
10.000 |
0.000 |
|
| σy |
(10.310) |
(16.093) |
(21.875) |
(27.657) |
(33.440) |
(39.222) |
(45.005) |
(50.787) |
(56.352) |
(59.244) |
|
| σx水平正应力尾水位以上 |
(10.774) |
(14.889) |
(18.084) |
(20.358) |
(21.712) |
(22.146) |
(21.660) |
(20.253) |
(40.770) |
(55.071) |
(32.331) |
|
| σx水平正应力尾水位以下 |
(10.774) |
(15.877) |
(21.046) |
(26.346) |
(31.844) |
(37.605) |
(43.695) |
(50.180) |
(56.856) |
(60.512) |
(60.512) |
|
| 剪应力τxy尾水以上 |
4.522 |
3.373 |
2.224 |
1.075 |
(0.074) |
(1.223) |
(2.372) |
(3.521) |
(4.874) |
(5.619) |
(5.373) |
|
| 剪应力τxy尾水以下 |
4.522 |
3.071 |
2.104 |
1.622 |
1.625 |
2.111 |
3.082 |
4.537 |
5.036 |
3.923 |
6.830 |
|
| 总 应 力 |
|
|
| σy |
179.296 |
156.622 |
133.947 |
111.273 |
88.598 |
65.924 |
43.249 |
20.575 |
(1.249) |
(12.586) |
|
| σx水平正应力尾水位以上 |
161.815 |
102.492 |
63.310 |
39.664 |
26.951 |
20.566 |
15.906 |
8.366 |
(28.645) |
(55.947) |
|
| σx水平正应力尾水位以下 |
161.815 |
101.504 |
60.348 |
33.676 |
16.819 |
5.107 |
(6.129) |
(21.561) |
(44.731) |
(61.389) |
|
| 剪应力τxy尾水以上 |
170.331 |
124.051 |
84.874 |
52.799 |
27.828 |
9.960 |
(0.806) |
(4.468) |
(1.531) |
2.549 |
|
| 剪应力τxy尾水以下 |
170.331 |
123.749 |
84.754 |
53.347 |
29.527 |
13.294 |
4.649 |
3.591 |
8.379 |
12.091 |
|
| 主应力 |
|
|
|
|
|
|
|
|
|
|
| σ1 |
341.111 |
256.526 |
190.557 |
139.263 |
99.302 |
68.014 |
43.273 |
22.035 |
(1.164) |
(12.437) |
|
| σ2尾水位以上 |
0.000 |
2.588 |
6.700 |
11.674 |
16.248 |
18.476 |
15.882 |
6.906 |
(28.730) |
(56.097) |
|
| σ2尾水位以下 |
0.000 |
2.282 |
4.749 |
6.511 |
6.234 |
2.328 |
(6.563) |
(21.865) |
(46.290) |
(64.220) |
|
| Φ1尾水位以上 |
(136.757) |
(122.039) |
(105.881) |
(87.741) |
(66.093) |
(37.242) |
5.297 |
56.862 |
10.015 |
(10.534) |
|
| Φ1尾水位以上（度） |
(136.757) |
(121.651) |
(104.505) |
(84.779) |
(61.960) |
(37.094) |
(16.750) |
(15.194) |
(33.106) |
(41.405) |
|
| 参考检验计算 |
|
|
应力检验(应用期） |
|
|
|
| σyu |
(12.586) |
|
坝面正应力σy |
坝体最小主应力σmin |
|
|
| σyd |
179.296 |
不计扬压力 |
σymax |
189.606 |
<=坝基容许应力 |
15~20MPa(1MPa相当于100t/m2) |
28.598 |
>= r*H/4 |
21.875 |
|
|
| τu |
20.017 |
σymin |
46.657 |
>=0 |
|
|
|
|
|
|
| τd |
156.015 |
计扬压力 |
σymax |
179.296 |
坝基容许应力 |
|
(21.865) |
>=0(压应力） |
|
|
|
| σxu |
83.497 |
σymin |
(12.586) |
>=0 |
|
|
|
|
|
|
| σxd |
163.284 |
|
|
| 坝基面应力强度控制 |
|
|
|
| 1、运用期 |
|
|
|
| σymax |
≤[σ] |
计扬压力和不计入扬压力,坝基面允许压应力 |
|
|
| σymin |
≥0 |
计扬压力 |
|
|
| 2、施工期 |
|
|
|
| 下游面拉压力 |
≤0.1Mpa |
|
|
|
|
|
|
| 坝体应力控制 |
|
|
|
| 1、运用期 |
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| 坝体上游面σ2 |
≥0 |
计扬压力 |
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| 坝体上游面σ2 |
≥0.25γh |
不计入扬压力（h为计算点静水头) |
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坝体内一般不允许出现拉应力 |
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| 2、施工期 |
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| 坝内主应力 |
≤[σ] |
砼允许压应力 |
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| 大坝下游面拉应力 |
≤0.2Mpa |
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