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Calculate the ultimate bearing capacity of a rectangular footing 1.8m X 3.6m in plan founded at a depth of 1.6 m below ground level.

The unit weight of soil is 18kN/m$^{3}$ and effective shear parameters are C=15 kN/m$^{2}$, ɸ =300. The natural water table is at a depth of 2 m below ground level. Use IS method given for ɸ=30$^{\circ}$, N$_{c}$=30.1,N$_{q}$=18.4, N$_{γ}$=22.4.