Problem #$4$

A square footing is to be constructed at a depth $3\mathrm{.}6m$ below ground surface on a sandy $c$ soil with a cohesion c$,$ of $57\mathrm{.}5k\frac{N}{m^2},$ and density of $1760k\frac{g}{m^3}.$ With a factor of safety $3,$ and $N_c=10,N_q=4,$ and $N_{}=2,$ estimate the size of the footing using Terzaghi's formla. Assume the water table is way below ground surface. Load applied on footing is $800$ KN$.$