Slope Stability Example - Non-homogeneous Stratigraphy
The soil parameters of this problem, the external loadings and the piezometric surface are shown in Tables 1, 1 and 3 respectively. The effect of the tension crack is to be ignored. The factor of safety and its corresponding critical non-circular failure surface is required.
Table 1: Material Properties
c΄ (kN/m2) | φ΄ (deg.) | γ (kN/m3) | |
Soil 1 | 28.5 | 20.0 | 18.84 |
Soil 2 | 10.0 | 18.84 |
Table 2: External Loading
X (m) | Y (m) | Normal Stress (kN/m2) |
23.00 | 27.75 | 20.00 |
43.00 | 27.75 | 20.00 |
70.00 | 40.00 | 20.00 |
80.00 | 40.00 | 40.00 |
Table 3: Data for Piezometric surface
Xc (m) | Yc (m) |
20.00 | 27.75 |
43.00 | 27.75 |
49.00 | 29.8 |
60.00 | 34.00 |
66.00 | 35.80 |
74.00 | 37.60 |
80.00 | 38.40 |
84.00 | 38.40 |
Figure 1- Model of the problem
Method: SPENCER | Factor of Safety |
Normal model | 0.693 |
Reversed model | 0.693 |
Note: Referee Factor of Safety = 0.78 [Giam]
Mean Non-circular FOS (20 samples) = 0.808
Referee GLE Factor of Safety = 0.6878 [Slope 2000]
Figure 2– SPENCER - Normal model solution
Figure 3– SPENCER - Reversed model solution
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