Environmental Engineering Reference
In-Depth Information
Table 15.4
Data used for the probabilistic analysis of a strip footing against bearing capacity failure
Mean and coefficient of variation
of the parameter
Parameter
Type of parameter
Breadth
B
Deterministic
2 m
Surcharge loading
q
Deterministic
10 kPa
Soil unit weight
γ
Deterministic
20 kN/m
3
Service vertical load
P
s
Deterministic
1000 kN/m
Cohesion
c
Random normal variable
μ
c
=
20 kPa
COV
c
=
0.3
Friction angle
φ
Random normal variable
μ
φ
=
30°
COV
φ
=
0.1
Table 15.5
Results of SS algorithm when
N
s
=
10 and
p
0
=
0.2
Level's
number j
Cohesion c
(kPa)
Angle of internal friction
φ
(deg)
Performance
function
Failure
threshold C
j
1
23.23
26.0
0.926
1.4875
31.00
39.1
1.119
6.45
32.2
1.488
25.17
29.9
1.560
21.91
32.1
2.002
12.15
29.4
2.662
17.40
29.6
3.860
22.06
34.5
4.989
41.47
34.3
5.391
36.62
34.3
9.191
2
25.83
26.5
0.859
0.9740
27.29
26.2
0.941
25.32
26.8
0.974
23.98
25.4
1.056
25.92
26.0
1.084
14.86
28.0
1.151
14.14
28.8
1.159
12.27
28.8
1.175
13.14
29.4
1.193
11.80
30.0
1.236
6
15.17
22.9
−
0.160
−
0.0936
14.88
23.0
−
0.100
14.88
23.0
−
0.094
14.56
22.5
0.046
14.56
22.5
0.072
15.84
22.5
0.072
16.36
21.5
0.116
14.53
20.7
0.142
12.89
20.6
0.148
15.43
20.3
0.148
P
f
9.6
×
10
−
5
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