Determine the required width $($B$)$ of a square footing to carry a column load of $1200$ kN$,$ including the weight of foundation.

The depth of footing is $500$ mm$.$ A minimum factor of safety of $3$ is required.

The soil below and around the footing is medium dense sand with an effective friction angle of $32$ degrees and zero cohesion.

The saturated unit weight of soil is $19\mathrm{.}8$ kN$/$m$3.$

The ground is flat, and the base of footing is horizontal.

The applied load is vertical with $100$ mm eccentricity in both directions $($B$=$ L$).$

The water table is at the surface ground level.

Apply Hanssen$$s Equations for calculations of bearing capacity and other required factors.