Environmental Engineering Reference
In-Depth Information
Table 3.5
Probabilities that the factor of safety is smaller than 1.0 based on normal 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
0.9%
11.7%
21.4%
27.6%
31.7%
34.6%
36.7%
38.3%
40.6%
42.4%
43.7%
45.3%
46.2%
46.8%
47.6%
1.10
0.0%
1.2%
6.5%
12.8%
18.2%
22.4%
25.8%
28.5%
32.5%
35.8%
38.1%
41.0%
42.8%
44.0%
45.5%
1.15
0.0%
0.1%
1.5%
5.2%
9.6%
13.9%
17.6%
20.7%
25.7%
30.1%
33.2%
37.2%
39.7%
41.4%
43.5%
1.16
0.0%
0.0%
1.1%
4.2%
8.4%
12.5%
16.2%
19.4%
24.5%
29.1%
32.3%
36.5%
39.1%
40.9%
43.2%
1.18
0.0%
0.0%
0.6%
2.8%
6.4%
10.2%
13.8%
17.0%
22.3%
27.1%
30.6%
35.1%
38.0%
40.0%
42.4%
1.20
0.0%
0.0%
0.3%
1.9%
4.8%
8.2%
11.7%
14.9%
20.2%
25.2%
28.9%
33.8%
36.9%
39.1%
41.7%
1.25
0.0%
0.0%
0.0%
0.6%
2.3%
4.8%
7.7%
10.6%
15.9%
21.2%
25.2%
30.9%
34.5%
36.9%
40.1%
1.30
0.0%
0.0%
0.0%
0.2%
1.1%
2.7%
5.0%
7.5%
12.4%
17.8%
22.1%
28.2%
32.2%
35.0%
38.6%
1.35
0.0%
0.0%
0.0%
0.1%
0.5%
1.5%
3.2%
5.3%
9.7%
15.0%
19.4%
25.8%
30.2%
33.3%
37.3%
1.40
0.0%
0.0%
0.0%
0.0%
0.2%
0.9%
2.1%
3.7%
7.7%
12.7%
17.0%
23.8%
28.4%
31.7%
36.0%
1.50
0.0%
0.0%
0.0%
0.0%
0.0%
0.3%
0.9%
1.9%
4.8%
9.1%
13.3%
20.2%
25.2%
28.9%
33.8%
1.60
0.0%
0.0%
0.0%
0.0%
0.0%
0.1%
0.4%
1.0%
3.0%
6.7%
10.6%
17.4%
22.7%
26.6%
32.0%
1.70
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.2%
0.5%
2.0%
5.0%
8.5%
15.2%
20.5%
24.6%
30.3%
1.80
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.1%
0.3%
1.3%
3.8%
6.9%
13.3%
18.7%
22.9%
28.9%
1.90
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.2%
0.9%
2.9%
5.7%
11.8%
17.2%
21.5%
27.7%
2.00
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.1%
0.6%
2.3%
4.8%
10.6%
15.9%
20.2%
26.6%
2.20
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.3%
1.5%
3.5%
8.6%
13.8%
18.2%
24.8%
2.40
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.2%
1.0%
2.6%
7.2%
12.2%
16.5%
23.3%
2.60
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.1%
0.7%
2.0%
6.2%
10.9%
15.3%
22.1%
2.80
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.1%
0.5%
1.6%
5.4%
9.9%
14.2%
21.1%
3.00
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.0%
0.4%
1.3%
4.8%
9.1%
13.3%
20.2%
F
M LV
=
factor of safety computed using most likely values of parameters.
Note: The shaded areas show combinations of COV and F
M LV
for which the Pf
f
from the normal distribution is higher than the Pf
f
from the lognormal distribution.
Search WWH ::
Custom Search