Compute the allowable bearing capacity $($qa$)$ for a rectangular footing of size $2\mathrm{.}0m3\mathrm{.}0m,$ placed at a depth of $2\mathrm{.}0m$ in a soil with the following properties: unit weight $()$ of $17k\frac{N}{m^3}$ above the water table and $20k\frac{N}{m^3}$ below the water table, cohesion $($c$)$ of $10$kPa, and an angle of internal friction $()$ of $30.$ The water table is located at a depth of $1\mathrm{.}0m$ below the ground surface. Use Terzaghi's bearing capacity factors: $Nq=22\mathrm{.}5,Nc=37\mathrm{.}2$ and $N=19\mathrm{.}7,$ and assume a factor of safety $($FS$)$ of $3\mathrm{.}0.$

silvolve according to soil mechanics