a probalilistic investigation of c f slope stability





























H H H
H=10m
H
0.5H
fixed











































rollers
rollers


































































FOS=1.16
FOS=1.13
FOS=1.11
FOS=1.07
FOS=1.05
FOS=1.01
0 200 400 600 800 1000
Number of Iterations





FOS=1.13
FOS=1.11
FOS=1.07
0 1 2 3 4 5 6 7 8
3
Number of Realizations x10






Probability of Failure
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Probability of Failure
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55





























































c and tan Ć
tan Ć only
c only
1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6
Strength Reduction Factor






































Number of Iterations to Convergence
0
200
400
600
800
1000







COVĆ =0.125
COVĆ =0.250
COVĆ =0.375
COVĆ =0.500
0.95 1 1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.4
Deterministic Factor of Safety







COVC =0.125
COVC =0.250
COVC =0.375
COVC =0.500
0.9 0.95 1 1.05 1.1 1.15 1.2 1.25
Deterministic Factor of Safety



Probability of Failure
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Probability of Failure
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1














































































COVĆ =0.250
COVĆ =0.375
COVĆ =0.500
0 0.2 0.4 0.6 0.8 1
Percent of Maximum Defined Correlation Distance






































Probability of Failure
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1












































































































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