Research Article
Seismic Bearing Capacity of Strip Footings on Cohesive Soil Slopes by Using Adaptive Finite Element Limit Analysis
Table 3
Seismic bearing capacity factor Nce for strip footings on cohesive soil slopes with H/B = 2.
| | β (°) | cu/(γB) | kh | λ | kh | λ | | 0 | 0.5 | 1 | 1.5 | 2 | 3 | 4 | 0 | 0.5 | 1 | 1.5 | 2 | 3 | 4 |
| | 15 | 0.625 | 0.1 | — | — | — | — | — | — | — | 0.3 | — | — | — | — | — | — | — | | 1 | 3.82 | 4.22 | 4.43 | 4.45 | 4.45 | 4.45 | 4.45 | — | — | — | — | — | — | — | | 1.5 | 3.88 | 4.26 | 4.46 | 4.47 | 4.47 | 4.47 | 4.47 | 2.72 | 2.99 | 2.99 | 2.99 | 2.99 | 2.99 | 2.99 | | 2.5 | 3.93 | 4.29 | 4.48 | 4.48 | 4.48 | 4.48 | 4.48 | 2.75 | 3.01 | 3.01 | 3.01 | 3.01 | 3.01 | 3.01 | | 5 | 3.96 | 4.27 | 4.49 | 4.50 | 4.50 | 4.50 | 4.50 | 2.77 | 3.02 | 3.02 | 3.02 | 3.02 | 3.02 | 3.02 | | 7.5 | 3.97 | 4.32 | 4.50 | 4.50 | 4.50 | 4.50 | 4.50 | 2.77 | 3.02 | 3.02 | 3.02 | 3.02 | 3.02 | 3.02 | | 0.625 | 0.2 | — | — | — | — | — | — | — | 0.35 | — | — | — | — | — | — | — | | 1 | 3.22 | 3.58 | 3.66 | 3.66 | 3.66 | 3.66 | 3.66 | — | — | — | — | — | — | — | | 1.5 | 3.27 | 3.63 | 3.69 | 3.69 | 3.69 | 3.69 | 3.69 | 2.48 | 2.70 | 2.70 | 2.70 | 2.70 | 2.70 | 2.70 | | 2.5 | 3.31 | 3.65 | 3.70 | 3.70 | 3.70 | 3.70 | 3.70 | 2.50 | 2.71 | 2.71 | 2.71 | 2.71 | 2.71 | 2.71 | | 5 | 3.34 | 3.67 | 3.72 | 3.72 | 3.72 | 3.72 | 3.72 | 2.52 | 2.72 | 2.72 | 2.72 | 2.72 | 2.72 | 2.72 | | 7.5 | 3.34 | 3.68 | 3.72 | 3.72 | 3.72 | 3.72 | 3.72 | 2.52 | 2.72 | 2.72 | 2.72 | 2.72 | 2.72 | 2.72 |
| | 30 | 0.625 | 0.1 | — | — | — | — | — | — | — | 0.3 | — | — | — | — | — | — | — | | 1 | 3.37 | 3.82 | 4.16 | 4.36 | 4.45 | 4.45 | 4.45 | 2.44 | 2.85 | 2.98 | 2.98 | 2.98 | 2.98 | 2.98 | | 1.5 | 3.47 | 3.93 | 4.28 | 4.47 | 4.47 | 4.47 | 4.47 | 2.50 | 2.92 | 2.99 | 2.99 | 2.99 | 2.99 | 2.99 | | 2.5 | 3.54 | 4.00 | 4.34 | 4.49 | 4.50 | 4.50 | 4.50 | 2.54 | 2.96 | 3.01 | 3.01 | 3.01 | 3.01 | 3.01 | | 5 | 3.58 | 4.04 | 4.38 | 4.50 | 4.50 | 4.50 | 4.50 | 2.56 | 2.99 | 3.02 | 3.02 | 3.02 | 3.02 | 3.02 | | 7.5 | 3.59 | 4.05 | 4.38 | 4.50 | 4.50 | 4.50 | 4.50 | 2.57 | 3.00 | 3.02 | 3.02 | 3.02 | 3.02 | 3.02 | | 0.625 | 0.2 | — | — | — | — | — | — | — | 0.35 | — | — | — | — | — | — | — | | 1 | 2.89 | 3.32 | 3.59 | 3.66 | 3.66 | 3.66 | 3.66 | — | — | — | — | — | — | — | | 1.5 | 2.96 | 3.41 | 3.69 | 3.69 | 3.69 | 3.69 | 3.69 | 2.12 | 2.44 | 2.44 | 2.44 | 2.44 | 2.44 | 2.44 | | 2.5 | 3.02 | 3.47 | 3.71 | 3.71 | 3.71 | 3.71 | 3.71 | 2.15 | 2.44 | 2.44 | 2.44 | 2.44 | 2.44 | 2.44 | | 5 | 3.05 | 3.51 | 3.72 | 3.72 | 3.72 | 3.72 | 3.72 | 2.17 | 2.44 | 2.44 | 2.44 | 2.44 | 2.44 | 2.44 | | 7.5 | 3.07 | 3.52 | 3.72 | 3.72 | 3.72 | 3.72 | 3.72 | 2.17 | 2.45 | 2.45 | 2.45 | 2.45 | 2.45 | 2.45 |
| | 45 | 0.625 | 0.1 | — | — | — | — | — | — | — | 0.3 | — | — | — | — | — | — | — | | 1 | 2.81 | 3.18 | 3.42 | 3.66 | 3.90 | 4.33 | 4.45 | 2.12 | 2.41 | 2.49 | 2.57 | 2.66 | 2.85 | 2.98 | | 1.5 | 2.96 | 2.50 | 3.88 | 4.16 | 4.40 | 4.47 | 4.47 | 2.20 | 2.69 | 2.99 | 2.99 | 2.99 | 2.99 | 2.99 | | 2.5 | 3.06 | 3.63 | 4.04 | 4.37 | 4.49 | 4.49 | 4.49 | 2.26 | 2.78 | 3.01 | 3.01 | 3.01 | 3.01 | 3.01 | | 5 | 3.12 | 3.71 | 4.13 | 4.46 | 4.50 | 4.50 | 4.50 | 2.30 | 2.84 | 3.02 | 3.02 | 3.02 | 3.02 | 3.02 | | 7.5 | 3.14 | 3.74 | 4.15 | 4.48 | 4.50 | 4.50 | 4.50 | 2.31 | 2.85 | 3.02 | 3.02 | 3.02 | 3.02 | 3.02 | | 0.625 | 0.2 | — | — | — | — | — | — | — | 0.35 | — | — | — | — | — | — | — | | 1 | 2.44 | 2.79 | 2.94 | 3.10 | 3.26 | 3.58 | 3.66 | 1.96 | 2.24 | 2.29 | 2.35 | 2.35 | 2.35 | 2.35 | | 1.5 | 2.56 | 3.08 | 3.44 | 3.67 | 3.69 | 3.69 | 3.69 | 2.04 | 2.51 | 2.70 | 2.70 | 2.70 | 2.70 | 2.70 | | 2.5 | 2.64 | 3.20 | 3.59 | 3.71 | 3.71 | 3.71 | 3.71 | 2.09 | 2.59 | 2.71 | 2.71 | 2.71 | 2.71 | 2.71 | | 5 | 2.69 | 3.27 | 3.66 | 3.72 | 3.72 | 3.72 | 3.72 | 2.12 | 2.64 | 2.72 | 2.72 | 2.72 | 2.72 | 2.72 | | 7.5 | 2.71 | 3.29 | 3.68 | 3.72 | 3.72 | 3.72 | 3.72 | 2.14 | 2.65 | 2.72 | 2.72 | 2.72 | 2.72 | 2.72 |
| | 60 | 0.625 | 0.1 | — | — | — | — | — | — | — | 0.3 | — | — | — | — | — | — | — | | 1 | 2.25 | 2.52 | 2.77 | 3.05 | 3.34 | 3.90 | 4.37 | 1.74 | 1.93 | 2.00 | 2.12 | 2.24 | 2.52 | 2.52 | | 1.5 | 2.45 | 2.98 | 3.31 | 3.62 | 3.91 | 4.42 | 4.47 | 1.88 | 2.35 | 2.60 | 2.79 | 2.97 | 2.99 | 2.99 | | 2.5 | 2.58 | 3.20 | 3.63 | 3.97 | 4.26 | 4.49 | 4.49 | 1.95 | 2.52 | 2.89 | 3.01 | 3.01 | 3.01 | 3.01 | | 5 | 2.66 | 3.33 | 3.80 | 4.16 | 4.46 | 4.50 | 4.50 | 2.00 | 2.61 | 3.00 | 3.02 | 3.02 | 3.02 | 3.02 | | 7.5 | 2.68 | 3.37 | 3.84 | 4.21 | 4.49 | 4.50 | 4.50 | 2.02 | 2.64 | 3.01 | 3.02 | 3.02 | 3.02 | 3.02 | | 0.625 | 0.2 | — | — | — | — | — | — | — | 0.35 | — | — | — | — | — | — | — | | 1 | 1.99 | 2.21 | 2.37 | 2.57 | 2.77 | 3.20 | 3.56 | 1.63 | 1.79 | 1.83 | 1.83 | 1.83 | 0.00 | 0.00 | | 1.5 | 2.15 | 2.66 | 2.95 | 3.19 | 3.43 | 3.69 | 3.69 | 1.75 | 2.21 | 2.44 | 2.60 | 2.60 | 2.60 | 2.60 | | 2.5 | 2.25 | 2.86 | 3.26 | 3.57 | 3.71 | 3.71 | 3.71 | 1.82 | 2.37 | 2.69 | 2.71 | 2.71 | 2.71 | 2.71 | | 5 | 2.32 | 2.97 | 3.41 | 3.72 | 3.72 | 3.72 | 3.72 | 1.86 | 2.45 | 2.72 | 2.72 | 2.72 | 2.72 | 2.72 | | 7.5 | 2.34 | 3.00 | 3.45 | 3.73 | 3.73 | 3.73 | 3.73 | 1.88 | 2.47 | 2.72 | 2.72 | 2.72 | 2.72 | 2.72 |
| | 75 | 0.625 | 0.1 | — | — | — | — | — | — | — | 0.3 | — | — | — | — | — | — | — | | 1 | 1.74 | 1.91 | 2.16 | 2.47 | 2.82 | 3.47 | 4.04 | 1.38 | 1.48 | 1.53 | 1.65 | 1.82 | 2.18 | 2.18 | | 1.5 | 1.96 | 2.41 | 2.75 | 3.10 | 3.43 | 4.05 | 4.47 | 1.53 | 1.96 | 2.16 | 2.37 | 2.58 | 2.99 | 3.00 | | 2.5 | 2.10 | 2.73 | 3.15 | 3.51 | 3.85 | 4.42 | 4.48 | 1.63 | 2.20 | 2.55 | 2.82 | 3.01 | 3.01 | 3.01 | | 5 | 2.19 | 2.90 | 3.39 | 3.77 | 4.10 | 4.50 | 4.50 | 1.69 | 2.33 | 2.75 | 3.02 | 3.02 | 3.02 | 3.02 | | 7.5 | 2.22 | 2.95 | 3.46 | 3.85 | 4.18 | 4.50 | 4.50 | 1.71 | 2.37 | 2.80 | 3.02 | 3.02 | 3.02 | 3.02 | | 0.625 | 0.2 | — | — | — | — | — | — | — | 0.35 | — | — | — | — | — | — | — | | 1 | 1.55 | 1.69 | 1.83 | 2.04 | 2.30 | 2.81 | 3.26 | — | — | — | — | — | — | — | | 1.5 | 1.74 | 2.18 | 2.44 | 2.73 | 2.99 | 3.51 | 3.69 | 1.44 | 1.85 | 2.03 | 2.21 | 2.40 | 2.70 | 2.70 | | 2.5 | 1.85 | 2.46 | 2.85 | 3.16 | 3.45 | 3.70 | 3.70 | 1.53 | 2.08 | 2.41 | 2.66 | 2.71 | 2.71 | 2.71 | | 5 | 1.93 | 2.61 | 3.07 | 3.43 | 3.71 | 3.72 | 3.72 | 1.58 | 2.20 | 2.59 | 2.72 | 2.72 | 2.72 | 2.72 | | 7.5 | 1.95 | 2.66 | 3.13 | 3.50 | 3.72 | 3.72 | 3.72 | 1.60 | 2.24 | 2.64 | 2.72 | 2.72 | 2.72 | 2.72 |
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