A square footing is to be designed to support a column. The design loads on the column areall downward and concentric. Calculations of the design loads using the required load combinationsspecified by ASCE $7-11$ show that the controlling load combination gives a design column load of $450$ k$($assume this includes the footing$).$ The embedment depth of the square footing is to be $3$ ft$.$ The underlyingsoil has an undrained shear strength of $2,000$ lb$/$ft$2$ and a unit weight of $109$ lb$/$ft$3.$ The groundwater table isat a depth of $4$ ft$.$ Using Terzaghis method$/$formula$,$ determine the minimum required footing width tomaintain a factor of safety of $3$ against a bearing capacity failure.