A pad footing, founded on dense sand $(\backslash$phi $$p $=30$o from direct shear tests and $\backslash$gamma sat $20$ kN$/$m$3,$ is

to be designed to support a vertical load of $500$ kN per meter length. Determine a suitable

width for this footing for FS $=3.$ The footing is located $2$ m below the ground surface. The

groundwater level is $0\mathrm{.}5$ m below the ground surface.