A square footing on sand is subjected to an eccentric load, as shown in Figure 17.24. Using Meyerhof’s effective area oncept, determine the gross allowable load that the footing could carry with F_s = 4. Given: γ = 16 kN/m³, c' = 0, ϕ' = 29^ο, D_f = 1.3 m, β = 1.75 m, and x = 0.25 m. Use the bearing capacity factors given in Table 17.2 and Eqs. (17.32) through (17.42) for shape, depth, and inclination factors.

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o' (deg) 0 1 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 N₂ 5.14 5.38 5.63 5.90 6.19 6.49 6.81 7.16 7.53 7.92 8.35 8.80 9.28 9.81 10.37 10.98 11.63 12.34 13.10 13.93 14.83 15.82 16.88 18.05 19.32 20.72 N₁ 1.00 1.09 1.20 1.31 1.43 1.57 1.72 1.88 2.06 2.25 2.47 2.71 2.97 3.26 3.59 3.94 4.34 4.77 5.26 5.80 6.40 7.07 7.82 8.66 9.60 10.66 Ny 0.00 0.07 0.15 0.24 0.34 0.45 0.57 0.71 0.86 1.03 1.22 1.44 1.69 1.97 2.29 2.65 3.06 3.53 4.07 4.68 5.39 6.20 7.13 8.20 9.44 10.88 o' (deg) 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 N₂ N₁ 22.25 23.94 25.80 27.86 30.14 32.67 35.49 38.64 42.16 46.12 50.59 55.63 61.35 67.87 75.31 83.86 93.71 11.85 13.20 14.72 16.44 12.54 14.47 16.72 19.34 22.40 25.99 30.22 35.19 41.06 48.03 56.31 66.19 78.03 92.25 64.20 109.41 73.90 130.22 85.38 155.55 99.02 186.54 115.31 224.64 134.88 271.76 330.35 403.67 496.01 18.40 20.63 23.18 26.09 29.44 33.30 37.75 42.92 48.93 55.96 105.11 118.37 133.88 152.10 158.51 173.64 187.21 199.26 222.31 229.93 266.89 265.51 613.16 319.07 762.89