Question $6$: A column that carries a vertical downward load of $400$kN is proposed to be supported on a $2\mathrm{.}0$m deep square footing. The soil is an overconsolidated $($i$.$e$.,$ stiff$)$ clay and has the following properties: $\backslash$gamma $=19$ k$($N$)/($m$^(3)),$c$^(\text{'})=20$kPa,$^(\text{'})=25,$ undrained cohesion, c$\_($u$)=230$kPa $,$ undrained friction angle, $\_($u$)=0.$ Sub$-$ surface investigations show that the groundwater table is reasonably stable throughout the year at a depth of $7\mathrm{.}0$ to $8\mathrm{.}0$m below the natural ground surface. $($i$)$ Determine the width of the footing for the above loading conditions and soil specifications for the short$-$term and long$-$term bearing capacity with a factor of safety equal to $2\mathrm{.}5.$ Use Skempton's and Terzaghi's bearing capacity. Use Tables from the class notes. $($ii$)$ Based on your calculations, recommend appropriate dimensions for the square footing.