Table 11: Summarized data required for constructing lower bound and upper bound of RS-FEM for Basic condition.

Basic variables: Cohesion of 1st layer (kPa), Cohesion of 2nd layer (kPa), Cohesion of 3rd layer (kPa), Friction angle of 3rd layer (°)
Set Number Probability of
Happening
Cumulative
Probability
Factor of Safety Coordinate
Lower bound Upper Bound Lower Bound Upper Bound
1 0.0625 0.0625 1.012 1.506 (1.012,0.0625) (1.506,0.0625)
2 0.0625 0.125 1.012 1.507 (1.012,0.125) (1.507,0.125)
3 0.0625 0.1875 1.039 1.529 (1.039,0.1875) (1.529,0.1875)
4 0.0625 0.25 1.039 1.53 (1.039, 0.25) (1.53, 0.25)
5 0.0625 0.3125 1.042 1.545 (1.042,0.3125) (1.545,0.3125)
6 0.0625 0.375 1.046 1.546 (1.046,0.375) (1.546,0.375)
7 0.0625 0.4375 1.071 1.552 (1.071,0.4375) (1.552,0.4375)
8 0.0625 0.5 1.075 1.553 (1.075,0.5) (1.553,0.5)
9 0.0625 0.5625 1.075 1.563 (1.075,0.5625) (1.563,0.5625)
10 0.0625 0.625 1.076 1.564 (1.076,0.625) (1.564,0.625)
11 0.0625 0.6875 1.098 1.574 (1.098,0.6875) (1.574,0.6875)
12 0.0625 0.75 1.102 1.575 (1.102,0.75) (1.575,0.75)
13 0.0625 0.8125 1.103 1.587 (1.103,0.8125) (1.587,0.8125)
14 0.0625 0.875 1.105 1.588 (1.105,0.875) (1.588,0.875)
15 0.0625 0.9375 1.13 1.605 (1.13,0.9375) (1.605,0.9375)
16 0.0625 1 1.13 1.608 (1.13,1) (1.608,1)