Environmental Engineering Reference
In-Depth Information
U
£ 0.87
5%
U
£ 0.94
95%
20
Mean
U
= 0.91
18
From MC
From
β
indices
16
14
12
10
8
6
4
2
0
0.8
0.85
0.9
0.95
1
Degree of consolidation at
t
=
1 year
Figure 9.26
PDF of degree of consolidation (
U
) at time
=
1 year, from Monte Carlo simulations, and from
17 values of reliability index.
at time = 1 year) were obtained easily from their respective 17 and 23 CDF values of
Figures
9.23
and
9.24
.
These two PDF curves are shown in
Figures 9.26
and
9.27.
The 5000 Monte Carlo realizations performed earlier for the plots of
Figures 9.22
through
9.24
can also be used to plot the outputs as PDF curves. The dashed PDF curves derived
from the β indices agree remarkably well with the Monte Carlo PDF curves in
Figures 9.25
s
r
£ 0.14
5%
s
r
£ 0.37
95%
6
Mean
s
r
= 0.24 m
5
From MC
From
β
indices
4
3
2
1
0
0
0.1
0.2
0.3
0.4
0.5
0.6
Settlement remaining at
t
=
1 year
Figure 9.27
PDF of settlement remaining (
s
r
) at time
=
1 year, from Monte Carlo simulations, and from 23
values of reliability index.
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