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| 四、闸室稳定计算 |
|
闸室的稳定计算 |
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| (1)闸室基底应力计算 |
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| 依据“规范”当结构布置及受力情况对称时按第29页(7.3.4-1)计算。 |
|
基本资料: |
设计钢筋砼容重为2.5吨,地基承载力为10t/m2(地质勘测资料)底板与地基之间摩 |
|
Pmax=∑G/A+∑M/W |
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1.闸室稳定计算 |
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|
Pmin=∑G/A-∑M/W |
|
a:闸室刚建成时(无车) |
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| 式中: |
Pmax--闸室基底应力的最大值; |
|
项目 |
名称 |
重量W(吨) |
水平力P(吨) |
力臂L(m) |
弯矩(吨*米) |
|
Pmin--闸室基底应力的最小值; |
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|
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+ |
- |
向下游 |
|
+ |
- |
|
∑G--作用在闸室上的全部竖向荷载(KN); |
|
1 |
闸房 |
54.3 |
|
|
3.5 |
190.05 |
|
|
∑M--作用在闸室上的全部竖向和水平向荷载 |
|
2 |
闸墩及底板 |
286.98 |
|
|
0 |
0 |
|
|
对于基础底面垂直水流方向的形心轴的力矩(KN·m); |
|
3 |
启闭机及人群荷载 |
5.32 |
|
|
3.5 |
18.62 |
|
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A--闸室基底面的面积(m2); |
|
4 |
交通桥 |
16.1 |
|
|
1.9 |
|
30.59 |
|
W--闸室基底面对于该底面垂直水流方向的形心轴的截面矩(m3)。 |
|
5 |
闸门 |
3.84 |
|
|
3.5 |
13.44 |
|
|
6 |
垂直水水压力 |
0 |
|
|
|
0 |
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| 在各种情况下,平均基底应力不大于地基允许承载力, |
|
7 |
扬压力 |
0 |
|
|
0 |
0 |
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| 最大基底应力不大于地基允许承载力的1.2倍。 |
|
8 |
水平水压力 |
0 |
|
|
0 |
0 |
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| 最大与最小值之比应满足下表规定 |
|
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|
|
|
|
12.4 |
222.11 |
30.59 |
| 地基土质 |
荷载组合 |
|
|
|
|
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总计 |
366.54 |
|
|
|
191.52 |
|
基本组合 |
特殊组合 |
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| 松软 |
1.50 |
2.00 |
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ΣW(吨)
|
ΣM(吨*米) |
A(m2) |
B(m) |
|
|
|
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| 中等坚实 |
2.00 |
2.50 |
|
|
|
|
|
366.54 |
191.52 |
69.12 |
10.8 |
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|
|
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| 坚实 |
2.50 |
3.00 |
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偏心距 |
e=ΣMa/ΣG=
|
0.523 |
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δmax=ΣG/A(1+6e/B)=
|
7.81977513 |
吨/m2<10吨/m2 |
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δmin=ΣG/A(1-6e/B)=
|
4.30125661 |
吨/m2<10吨/m2 |
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| (2)沿基底面的抗滑稳定计算 |
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|
| 依据“规范”抗滑稳定安全系数计算按第30页(7.3.6-1)计算。 |
|
|
|
δmax/δmin= |
1.81802107 |
<2 |
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|
Kc=(f∑G)/∑H |
|
|
| 式中: |
Kc--沿闸室基底面的抗滑稳定安全系数; |
|
|
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|
满足稳定要求 |
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f--闸室基底面与地基之间的摩擦系数,可按第32页表7.3.10规定采用; |
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∑G--作用在闸室上的全部竖向荷载(KN); |
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2.闸室稳定计算 |
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∑H--作用在闸室上的全部水平向荷载(KN); |
|
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a:闸室刚建成时(有车) |
|
|
|
|
项目 |
名称 |
重量W(吨) |
水平力P(吨) |
力臂L(m) |
弯矩(吨*米) |
| 抗滑稳定安全系数应满足下表规定 |
|
|
|
+ |
- |
向下游 |
|
+ |
- |
| 荷载组合 |
水闸级别 |
|
|
1 |
闸房 |
54.3 |
|
|
3.5 |
190.05 |
|
|
|
1 |
2 |
3 |
4 |
|
|
2 |
闸墩及底板 |
286.98 |
|
|
0 |
0 |
|
| 基本组合 |
1.35 |
1.30 |
1.25 |
1.20 |
|
3 |
启闭机及人群荷载 |
5.32 |
|
|
3.5 |
18.62 |
|
| 特殊组合 |
Ⅰ |
1.20 |
1.15 |
1.10 |
1.05 |
|
4 |
交通桥 |
46.1 |
|
|
1.9 |
|
87.59 |
|
Ⅱ |
1.10 |
1.05 |
1.05 |
1.00 |
|
5 |
闸门 |
3.84 |
|
|
3.5 |
13.44 |
|
|
6 |
垂直水水压力 |
0 |
|
|
|
0 |
|
|
7 |
扬压力 |
0 |
|
|
0 |
0 |
|
|
8 |
水平水压力 |
0 |
|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12.4 |
222.11 |
87.59 |
|
|
|
|
|
|
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总计 |
396.54 |
|
|
|
134.52 |
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ΣW(吨)
|
ΣM(吨*米) |
A(m2) |
B(m) |
|
|
|
|
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|
|
|
|
|
|
|
396.54 |
134.52 |
69.12 |
10.8 |
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偏心距 |
e=ΣMa/ΣG=
|
0.339 |
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|
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δmax=ΣG/A(1+6e/B)=
|
7.79221781 |
吨/m2<10吨/m2 |
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δmin=ΣG/A(1-6e/B)=
|
5.13739889 |
吨/m2<10吨/m2 |
|
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δmax/δmin= |
1.51676324 |
<2 |
|
|
|
|
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|
|
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|
|
|
|
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|
|
满足稳定要求 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3.闸室稳定计算 |
|
|
|
|
|
|
|
|
|
|
a:闸室运行时(无车) |
|
|
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|
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|
|
|
|
项目 |
名称 |
重量W(吨) |
水平力P(吨) |
力臂L(m) |
弯矩(吨*米) |
|
|
|
|
|
+ |
- |
向下游 |
|
+ |
- |
|
|
|
|
1 |
闸房 |
54.3 |
|
|
3.5 |
190.05 |
|
|
|
|
|
|
|
2 |
闸墩及底板 |
286.98 |
|
|
0 |
0 |
|
|
|
|
|
3 |
启闭机及人群荷载 |
5.32 |
|
|
3.5 |
18.62 |
|
|
4 |
交通桥 |
16.1 |
|
|
1.9 |
|
30.59 |
|
5 |
闸门 |
3.84 |
|
|
3.5 |
13.44 |
|
|
6 |
垂直水水压力 |
127.872 |
|
|
0 |
0 |
|
|
7 |
浮的托力 |
|
146.36 |
|
0 |
0 |
|
|
7 |
扬压力 |
0 |
15.422 |
|
1.8 |
|
27.7596 |
|
8 |
水平水压力 |
0 |
|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
494.412 |
161.782 |
|
14.2 |
222.11 |
58.3496 |
|
|
|
|
|
|
|
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|
总计 |
332.63 |
|
|
163.7604 |
|
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|
ΣW(吨)
|
ΣM(吨*米) |
A(m2) |
B(m) |
|
|
|
|
|
|
|
|
|
|
|
|
332.63 |
163.7604 |
69.12 |
10.8 |
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|
偏心距 |
e=ΣMa/ΣG=
|
0.492 |
|
|
|
|
|
|
|
|
|
|
|
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|
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δmax=ΣG/A(1+6e/B)=
|
7.00410053 |
吨/m2<10吨/m2 |
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δmin=ΣG/A(1-6e/B)=
|
3.99556878 |
吨/m2<10吨/m2 |
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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δmax/δmin= |
1.75296708 |
<2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
满足稳定要求 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4.闸室稳定计算 |
|
|
|
|
|
|
|
|
|
|
a:闸室运行时(有车) |
|
|
|
|
项目 |
名称 |
重量W(吨) |
水平力P(吨) |
力臂L(m) |
弯矩(吨*米) |
|
|
|
|
|
|
+ |
- |
向下游 |
|
+ |
- |
|
|
|
|
|
|
1 |
闸房 |
54.3 |
|
|
3.5 |
190.05 |
|
|
|
|
|
2 |
闸墩及底板 |
286.98 |
|
|
0 |
0 |
|
|
3 |
启闭机及人群荷载 |
5.32 |
|
|
3.5 |
18.62 |
|
|
4 |
交通桥 |
46.1 |
|
|
1.9 |
|
87.59 |
|
5 |
闸门 |
3.84 |
|
|
3.5 |
13.44 |
|
|
6 |
垂直水水压力 |
127.872 |
|
|
0 |
0 |
|
|
7 |
浮的托力 |
|
146.36 |
|
0 |
0 |
|
|
7 |
扬压力 |
0 |
15.422 |
|
1.8 |
|
27.7596 |
|
8 |
水平水压力 |
0 |
|
|
0 |
0 |
|
|
|
|
524.412 |
161.782 |
|
14.2 |
222.11 |
115.3496 |
|
|
总计 |
362.63 |
|
|
106.7604 |
|
|
ΣW(吨) |
ΣM(吨*米) |
A(m2) |
B(m) |
|
|
|
|
|
362.63 |
106.7604 |
69.12 |
10.8 |
|
|
|
|
|
|
偏心距 |
e=ΣMa/ΣG=
|
0.294 |
|
|
|
|
|
|
δmax=ΣG/A(1+6e/B)=
|
6.10447531 |
吨/m2<10吨/m2 |
|
|
|
|
|
δmin=ΣG/A(1-6e/B)=
|
4.3882909 |
吨/m2<10吨/m2 |
|
|
|
|
|
δmax/δmin= |
1.39108265 |
<2 |
|
|
|
满足稳定要求 |
|
|
|
5.闸室稳定计算 |
|
|
a:闸室关闭(无车) |
|
|
|
|
项目 |
名称 |
重量W(吨) |
水平力P(吨) |
力臂L(m) |
弯矩(吨*米) |
|
|
|
+ |
- |
向下游 |
|
+ |
- |
|
1 |
闸房 |
54.3 |
|
|
3.5 |
190.05 |
|
|
2 |
闸墩及底板 |
286.98 |
|
|
0 |
0 |
|
|
3 |
启闭机及人群荷载 |
5.32 |
|
|
3.5 |
18.62 |
|
|
4 |
交通桥 |
16.1 |
|
|
1.9 |
|
30.59 |
|
5 |
闸门 |
3.84 |
|
|
3.5 |
13.44 |
|
|
6 |
垂直水水压力 |
18.7 |
|
|
0 |
0 |
|
|
7 |
浮的托力 |
|
0 |
|
0 |
0 |
|
|
7 |
扬压力 |
0 |
89.5125 |
|
1.8 |
|
161.1225 |
|
8 |
水平水压力 |
17.52 |
|
|
3.76 |
|
65.8752 |
|
|
|
402.76 |
89.5125 |
|
17.96 |
222.11 |
257.5877 |
|
|
总计 |
313.2475 |
|
|
-35.4777 |
|
|
ΣW(吨) |
ΣM(吨*米) |
A(m2) |
B(m) |
|
|
|
|
|
313.2475 |
-35.4777 |
69.12 |
10.8 |
|
|
|
|
|
|
偏心距 |
e=ΣMa/ΣG=
|
-0.113 |
|
|
|
|
|
|
δmax=ΣG/A(1+6e/B)=
|
4.24678337 |
吨/m2<10吨/m2 |
|
|
|
|
|
δmin=ΣG/A(1-6e/B)=
|
4.81709105 |
吨/m2<10吨/m2 |
|
|
|
|
|
δmax/δmin= |
0.88160745 |
<2 |
|
|
|
满足稳定要求 |
|
|
|
6.闸室稳定计算 |
|
|
a:闸室关闭(有车) |
|
|
项目 |
名称 |
重量W(吨) |
水平力P(吨) |
力臂L(m) |
弯矩(吨*米) |
|
|
|
+ |
- |
向下游 |
|
+ |
- |
|
1 |
闸房 |
54.3 |
|
|
3.5 |
190.05 |
|
|
2 |
闸墩及底板 |
286.98 |
|
|
0 |
0 |
|
|
3 |
启闭机及人群荷载 |
5.32 |
|
|
3.5 |
18.62 |
|
|
4 |
交通桥 |
46.1 |
|
|
1.9 |
|
87.59 |
|
5 |
闸门 |
3.84 |
|
|
3.5 |
13.44 |
|
|
6 |
垂直水水压力 |
|
|
18.7 |
1.79 |
|
33.473 |
|
7 |
浮的托力 |
|
0 |
|
0 |
0 |
|
|
7 |
扬压力 |
0 |
89.5125 |
|
1.8 |
|
161.1225 |
|
8 |
水平水压力 |
17.52 |
|
|
3.76 |
|
65.8752 |
|
|
|
414.06 |
89.5125 |
18.7 |
19.75 |
222.11 |
348.0607 |
|
|
总计 |
324.5475 |
|
|
-125.9507 |
|
|
ΣW(吨) |
ΣM(吨*米) |
A(m2) |
B(m) |
|
|
|
|
|
324.5475 |
-125.9507 |
69.12 |
10.8 |
|
|
|
|
|
|
偏心距 |
e=ΣMa/ΣG=
|
-0.388 |
|
|
|
|
|
|
δmax=ΣG/A(1+6e/B)=
|
3.68308578 |
吨/m2<10吨/m2 |
|
|
|
δmin=ΣG/A(1-6e/B)=
|
5.70775624 |
吨/m2<10吨/m2 |
|
|
|
δmax/δmin= |
0.64527734 |
<2 |
|
|
|
Kc=fΣW/ΣP=
|
6.94219251 |
>2 |
|
|
f:底板与地基间的凝集力 砂地基取0.4-0.5 |
|
|
满足稳定要求 |
|
|
|
因此各种情况均满足稳定要求 |
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