Environmental Engineering Reference
In-Depth Information
Table 3.4
Probabilities that the factor of safety is smaller than 1.0, based on a lognormal distribution of factor of safety
Coefficient of variation of factor of safety—COV
F
F
MLV
2%
4%
6%
8%
10%
12%
14%
16%
20%
25%
30%
40%
50%
60%
80%
1.05
0.8%
12%
22%
28%
33%
36%
39%
41%
44%
47%
49%
53%
55%
58%
61%
1.10
0.00%
0.9%
6%
12%
18%
23%
27%
30%
35%
40%
43%
48%
51%
54%
59%
1.15
0.00%
0.03%
1.1%
4%
9%
13%
18%
21%
27%
33%
37%
43%
48%
51%
56%
1.16
0.00%
0.01%
0.7%
3%
8%
12%
16%
20%
26%
32%
36%
42%
47%
50%
56%
1.18
0.00%
0.00%
0.3%
2%
5%
9%
13%
17%
23%
29%
34%
41%
45%
49%
55%
1.20
0.00%
0.00%
0.13%
1.2%
4%
7%
11%
14%
21%
27%
32%
39%
44%
48%
54%
1.25
0.00%
0.00%
0.01%
0.3%
1.4%
4%
6%
9%
15%
22%
27%
35%
41%
45%
51%
1.30
0.00%
0.00%
0.00%
0.06%
0.5%
1.6%
3%
6%
11%
17%
23%
31%
37%
42%
49%
1.35
0.00%
0.00%
0.00%
0.01%
0.2%
0.7%
1.9%
4%
8%
14%
19%
28%
34%
40%
47%
1.40
0.00%
0.00%
0.00%
0.00%
0.04%
0.3%
1.0%
2%
5%
11%
16%
25%
32%
37%
45%
1.50
0.00%
0.00%
0.00%
0.00%
0.00%
0.04%
0.2%
0.7%
3%
6%
11%
19%
27%
32%
41%
1.60
0.00%
0.00%
0.00%
0.00%
0.00%
0.01%
0.05%
0.2%
1.1%
4%
7%
15%
22%
28%
38%
1.70
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.01%
0.06%
0.5%
2%
5%
12%
19%
25%
34%
1.80
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.01%
0.2%
1.2%
3%
9%
16%
22%
31%
1.90
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.08%
0.65%
2%
7%
13%
19%
29%
2.00
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.03%
0.36%
1.3%
5%
11%
17%
26%
2.20
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.01%
0.10%
0.56%
3%
8%
13%
22%
2.40
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.03%
0.23%
1.9%
5%
10%
19%
2.60
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.01%
0.09%
1.1%
4%
7%
16%
2.80
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.04%
0.66%
3%
6%
13%
3.00
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.00%
0.02%
0.39%
1.8%
4%
11%
F
M LV
=
factor of safety computed using most likely values of parameters
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