Research Article
Static and Seismic Stability Charts for Three-Dimensional Cut Slopes and Natural Slopes under Short-Term Undrained Conditions
Table 3
Coefficients
A and
B in equation (
12) for natural slopes.
| β | B/H | kh = 0 | kh = 0.1 | kh = 0.2 | kh = 0.3 | A | B | A | B | A | B | A | B |
| 15° | 1.5 | 14.0417 | 5.5213 | 10.7765 | 3.9044 | 8.3917 | 3.0683 | 6.8037 | 2.5367 | 2.0 | 12.1295 | 5.5304 | 8.8251 | 3.9860 | 6.8320 | 3.1272 | 5.5596 | 2.5655 | 3.0 | 10.2958 | 5.4513 | 7.1932 | 4.0178 | 5.5081 | 3.1519 | 4.3663 | 2.6045 | 5.0 | 8.9213 | 5.4354 | 6.1444 | 3.9802 | 4.5560 | 3.1486 | 3.5573 | 2.5891 | 10.0 | 8.1138 | 5.3815 | 5.4981 | 3.9474 | 3.9846 | 3.1224 | 3.0156 | 2.5757 | ∞ (2D) | 7.4668 | 5.3353 | 4.9707 | 3.9254 | 3.5103 | 3.1140 | 2.5252 | 2.5857 |
| 30° | 1.5 | 9.8257 | 3.3207 | 8.2197 | 2.7972 | 6.9813 | 2.4186 | 6.0906 | 2.1291 | 2.0 | 9.0010 | 3.2809 | 7.2876 | 2.8136 | 6.0977 | 2.4466 | 5.2739 | 2.1343 | 3.0 | 7.9860 | 3.2971 | 6.4485 | 2.8280 | 5.2963 | 2.4598 | 4.3928 | 2.1959 | 5.0 | 7.3384 | 3.2848 | 5.7426 | 2.8412 | 4.5894 | 2.5033 | 3.6805 | 2.2373 | 10.0 | 6.8809 | 3.2821 | 5.3106 | 2.8429 | 4.1576 | 2.4996 | 3.2194 | 2.2420 | ∞ (2D) | 6.5250 | 3.2611 | 4.9572 | 2.8385 | 3.7456 | 2.5202 | 2.7498 | 2.2779 |
| 45° | 1.5 | 8.2142 | 2.6961 | 7.1962 | 2.4184 | 6.3768 | 2.1509 | 5.7165 | 1.9296 | 2.0 | 7.6745 | 2.6371 | 6.6418 | 2.3650 | 5.7948 | 2.1230 | 5.1580 | 1.8964 | 3.0 | 7.0647 | 2.6149 | 6.0183 | 2.3402 | 5.1551 | 2.1331 | 4.4334 | 1.9262 | 5.0 | 6.5959 | 2.6024 | 5.4339 | 2.3723 | 4.5574 | 2.1465 | 3.7592 | 1.9745 | 10.0 | 6.2847 | 2.5785 | 5.0647 | 2.3742 | 4.1360 | 2.1727 | 3.3140 | 2.0039 | ∞ (2D) | 6.0276 | 2.5560 | 4.7538 | 2.3714 | 3.8115 | 2.1781 | 2.8561 | 2.0462 |
| 60° | 1.5 | 7.1388 | 2.4670 | 6.4687 | 2.2474 | 5.9017 | 2.0296 | 5.4226 | 1.8260 | 2.0 | 6.6483 | 2.4103 | 5.9534 | 2.1969 | 5.3860 | 1.9818 | 4.8393 | 1.7918 | 3.0 | 6.1799 | 2.3493 | 5.5046 | 2.1364 | 4.9641 | 1.9215 | 4.2803 | 1.7737 | 5.0 | 5.8480 | 2.2981 | 5.1576 | 2.0883 | 4.3155 | 1.9593 | 3.6896 | 1.8075 | 10.0 | 5.6342 | 2.2414 | 4.7757 | 2.0956 | 3.9675 | 1.9572 | 3.3408 | 1.8128 | ∞ (2D) | 5.3836 | 2.2417 | 4.4778 | 2.0925 | 3.6433 | 1.9643 | 2.8754 | 1.8553 |
| 75° | 1.5 | 6.2502 | 2.4269 | 5.7615 | 2.2425 | 5.4851 | 1.9719 | 4.9201 | 1.8396 | 2.0 | 5.7408 | 2.3540 | 5.2850 | 2.1560 | 4.8077 | 1.9557 | 4.3905 | 1.7873 | 3.0 | 5.3571 | 2.2359 | 4.8675 | 2.0673 | 4.3504 | 1.8950 | 3.9983 | 1.6894 | 5.0 | 5.0488 | 2.1735 | 4.5430 | 1.9894 | 4.0446 | 1.8197 | 3.7401 | 1.6327 | 10.0 | 4.8306 | 2.1313 | 4.3531 | 1.9368 | 3.7432 | 1.8107 | 3.4934 | 1.5955 | ∞ (2D) | 4.6297 | 2.0899 | 4.1505 | 1.8962 | 3.4157 | 1.7986 | 3.3170 | 1.5582 |
| 90° | 1.5 | 5.4109 | 2.4119 | 5.1349 | 2.1369 | 4.7327 | 2.0014 | 4.4387 | 1.8664 | 2.0 | 4.9769 | 2.2792 | 4.6642 | 2.0652 | 4.3330 | 1.8852 | 4.0007 | 1.7250 | 3.0 | 4.5868 | 2.1895 | 4.1953 | 2.0087 | 3.8523 | 1.8380 | 3.5886 | 1.6332 | 5.0 | 4.2956 | 2.1136 | 3.9367 | 1.9290 | 3.6329 | 1.7508 | 3.2815 | 1.6085 | 10.0 | 4.0946 | 2.0605 | 3.7224 | 1.8910 | 3.3992 | 1.7088 | 3.0884 | 1.5669 | ∞ (2D) | 3.8672 | 2.0165 | 3.5075 | 1.8475 | 3.1401 | 1.6933 | 2.8899 | 1.5300 |
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