PE-17-Bearing-Capacity

PE-17-Bearing-Capacity - 17 - Bearing Capacity *01: *02:...

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17 - Bearing Capacity *01: The Terzaghi method. *02: The Meyerhof method. *03: The Hansen method. *04: Conversion from metric units. *05: Terzaghi used for general versus local shear failure. *06: A footing width must increase with rising WT. *07: Comparing the Hanson and the Meyerhof methods. *08: The effect of the WT upon the bearing capacity. *09: The concept of gross bearing capacity. *10: The effect of an eccentric load upon bearing capacity. *11: Effect of inclined loading upon the bearing capacity. *12: Interpretation of borings to estimate bearing. 430
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Bearing Capacity Factors for General Shear Terzaghi Meyerhof Hansen Angle φ (Degrees) Angle φ (Radians) K p γ N c N q N γ N c N q N γ N c N q N γ 0 0.0000 10.18 5.70 1.00 0.00 5.10 1.00 0.00 5.10 1.00 0.00 1 0.0175 10.61 6.00 1.10 0.08 5.38 1.09 0.00 5.38 1.09 0.00 2 0.0349 11.07 6.30 1.22 0.18 5.63 1.20 0.01 5.63 1.20 0.01 3 0.0524 11.56 6.62 1.35 0.28 5.90 1.31 0.02 5.90 1.31 0.02 4 0.0698 12.07 6.97 1.49 0.39 6.19 1.43 0.04 6.19 1.43 0.05 5 0.0873 12.61 7.34 1.64 0.51 6.49 1.57 0.07 6.49 1.57 0.07 6 0.1047 13.19 7.73 1.81 0.65 6.81 1.72 0.11 6.81 1.72 0.11 7 0.1222 13.80 8.15 2.00 0.80 7.16 1.88 0.15 7.16 1.88 0.16 8 0.1396 14.44 8.60 2.21 0.96 7.53 2.06 0.21 7.53 2.06 0.22 9 0.1571 15.13 9.09 2.44 1.15 7.92 2.25 0.28 7.92 2.25 0.30 10 0.1745 15.87 9.60 2.69 1.35 8.34 2.47 0.37 8.34 2.47 0.39 11 0.1920 16.65 10.16 2.98 1.58 8.80 2.71 0.47 8.80 2.71 0.50 12 0.2094 17.49 10.76 3.29 1.84 9.28 2.97 0.60 9.28 2.97 0.63 13 0.2269 18.38 11.41 3.63 2.12 9.81 3.26 0.74 9.81 3.26 0.78 14 0.2443 19.33 12.11 4.02 2.44 10.37 3.59 0.92 10.37 3.59 0.97 15 0.2618 20.36 12.86 4.45 2.79 10.98 3.94 1.13 10.98 3.94 1.18 16 0.2793 21.46 13.68 4.92 3.19 11.63 4.34 1.37 11.63 4.34 1.43 17 0.2967 22.65 14.56 5.45 3.63 12.34 4.77 1.66 12.34 4.77 1.73 18 0.3142 23.92 15.52 6.04 4.13 13.10 5.26 2.00 13.10 5.26 2.08 19 0.3316 25.30 16.56 6.70 4.70 13.93 5.80 2.40 13.93 5.80 2.48 20 0.3491 26.80 17.69 7.44 5.34 14.83 6.40 2.87 14.83 6.40 2.95 21 0.3665 28.42 18.92 8.26 6.07 15.81 7.07 3.42 15.81 7.07 3.50 22 0.3840 30.18 20.27 9.19 6.89 16.88 7.82 4.07 16.88 7.82 4.13 23 0.4014 32.10 21.75 10.23 7.83 18.05 8.66 4.82 18.05 8.66 4.88 24 0.4189 34.19 23.36 11.40 8.90 19.32 9.60 5.72 19.32 9.60 5.75 25 0.4363 36.49 25.13 12.72 10.12 20.72 10.66 6.77 20.72 10.66 6.76 26 0.4538 39.01 27.09 14.21 11.53 22.25 11.85 8.00 22.25 11.85 7.94 27 0.4712 41.78 29.24 15.90 13.15 23.94 13.20 9.46 23.94 13.20 9.32 28 0.4887 44.85 31.61 17.81 15.03 25.80 14.72 11.19 25.80 14.72 10.94 29 0.5061 48.26 34.24 19.98 17.21 27.86 16.44 13.24 27.86 16.44 12.84 30 0.5236 52.05 37.16 22.46 19.75 30.14 18.40 15.67 30.14 18.40 15.07 31 0.5411 56.29 40.41 25.28 22.71 32.67 20.63 18.56 32.67 20.63 17.69 32 0.5585 61.04 44.04 28.52 26.20 35.49 23.18 22.02 35.49 23.18 20.79 33 0.5760 66.40 48.09 32.23 30.33 38.64 26.09 26.17 38.64 26.09 24.44 34 0.5934 72.48 52.64 36.50 35.23 42.16 29.44 31.15 42.16 29.44 28.77 35 0.6109 79.40 57.75 41.44 41.08 46.12 33.30 37.15 46.12 33.30 33.92 36 0.6283 87.33 63.53 47.16 48.11 50.59 37.75 44.43 50.59 37.75 40.05 37 0.6458 96.49 70.07 53.80 56.62 55.63 42.92 53.27 55.63 42.92 47.38 38 0.6632 107.13 77.50 61.55 67.00 61.35 48.93 64.07 61.35 48.93 56.17 39 0.6807 119.59 85.97 70.61 79.77 67.87 55.96 77.33 67.87 55.96 66.76 40 0.6981 134.31 95.66 81.27 95.61 75.31 64.20 93.69 75.31 64.20 79.54 41 0.7156 151.89 106.81 93.85 115.47 83.86 73.90 113.99 83.86 73.90 95.05 42 0.7330 173.09 119.67 108.75 140.65 93.71 85.37 139.32 93.71 85.37 113.96 43 0.7505 198.99 134.58 126.50 173.00 105.11 99.01 171.14 105.11 99.01 137.10 44 0.7679 231.10 151.95 147.74 215.16 118.37 115.31 211.41 118.37 115.31 165.58 45 0.7854 271.57 172.29 173.29 271.07 133.87 134.87 262.74 133.87 134.87 200.81 46 0.8029 323.57 196.22 204.19 346.66 152.10 158.50 328.73 152.10 158.50 244.65 47 0.8203 391.94 224.55 241.80 451.28 173.64 187.21 414.33 173.64 187.21 299.52 48 0.8378 484.34 258.29 287.85 600.15 199.26 222.30 526.45 199.26 222.30 368.67 49 0.8552 613.53 298.72 344.64 819.31 229.92 265.50 674.92 229.92 265.50 456.40 50 0.8727 801.95 347.51 415.15 1155.97 266.88 319.06 873.86 266.88 319.06 568.57 431
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The bearing capacity of a soil is its ability to carry loads without failing in shear. There are four major methods to predict failure. The fist method was developed by Karl Terzaghi in 1943. Field tests in Canada by Meyerhof (1963) lead to modification factors. Finally, Brinch Hansen in Denmark (1970) and Vesic in the USA modified these factor to a greater refinement. These bearing capacity factors are based on these three authors: Terzaghi (1943): () ' ' 2 0.75 / 2 tan 2 , 1.3 0.4 0.5 ,, cos 45 / 2 1co t tan 2 ult c q ult c q f q cq For square footings q c N qN BN For continuous or wall footings q c N qN BN where q D and the factors are a Nw h e r e a e a NN K N γ πφ φ ϕ =+ + =++ = == °− =− = 2 1 cos p ⎛⎞ ⎜⎟ ⎝⎠ Meyerhof (1963): ()() tan 2 ,0 , tan 45 / 2 t 1tan1 .4 ult c sc dc q sq dq s d ult c ic dc q iq dq i d q q For vertical loads q cN F F qN F F BN F F and for inclined loads q cN F F qN F F BN F F and the factors are Ne . 4 . 4 γγ =+ + Brinch Hansen (1970): tan 2 , tan 45 / 2 t 1.5 1 tan ult c sc dc ic q sq dq iq s d i q q The general equation q cN F F F qN F F F BN F F F and the factors are . 4 = ++ 432
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*Bearing–01: Terzaghi’s bearing capacity formula for a square footing.
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PE-17-Bearing-Capacity - 17 - Bearing Capacity *01: *02:...

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