A 1.5 m wide square footing is placed at 1 m depth within the ground where c' = 10 kN/m 2 , ' = 258,

A 1.5 m wide square footing is placed at 1 m depth within the ground where c' = 10 kN/m², ϕ' = 258, and γ = 18 kN/m³. Determine the ultimate bearing capacity of the footing using Terzaghi’s bearing capacity equation and the bearing capacity factors from Table 6.1. What is the maximum column load that can be allowed with a factor of safety of 3.0?

Table 6.1.

N. N. N, N. N," 5.70 1.00 0.00 26 27.09 14.21 9.84 1 6.00 1.10 0.01 27 29.24 15.90 11.60 2 6.30 1.22 0.04 28 31.61 17.81 13.70 3 6.62 1.35 0.06 29 34.24 19.98 16.18 4. 6.97 1.49 0.10 30 37.16 22.46 19.13 7.34 1.64 0.14 31 40.41 25.28 22.65 6. 7.73 1.81 0.20 32 44.04 28.52 26.87 7 8.15 2.00 0.27 33 48.09 32.23 31.94 8. 8.60 2.21 0.35 34 52.64 36.50 38.04 9.09 2.44 0.44 35 57.75 41.44 45.41 10 9.61 2.69 0.56 36 63.53 47.16 54.36 11 10.16 2.98 0.69 37 70.01 53.80 65.27 12 10.76 3.29 0.85 38 77.50 61.55 78.61 13 11.41 3.63 1.04 39 85.97 70.61 95.03 14 12.11 4.02 1.26 40 95.66 81.27 115.31 15 12.86 4.45 1.52 41 106.81 93.85 140.51 16 13.68 4.92 1.82 42 119.67 108.75 171.99 17 14.60 5.45 2.18 43 134.58 126.50 211.56 18 15.12 6.04 2.59 44 151.95 147.74 261.60 19 16.56 6.70 3.07 45 172.28 173.28 325.34 20 17.69 7.44 3.64 46 196.22 204.19 407.11 21 18.92 8.26 4.31 47 224.55 241.80 512.84 22 20.27 9.19 5.09 48 258.28 287.85 650.67 23 21.75 10.23 6.00 49 298.71 344.63 831.99 24 23.36 11.40 7.08 50 347.50 415.14 1072.80 25 25.13 12.72 8.34 "From Kumbhojkar (1993)