A solid $300$ mm x $300$ mm column carries an axial compression load of $2000$ kN$.$ The load produces an axial deformation of $0\mathrm{.}150$ mm between two measuring points which are $200$ mm apart. The column is supported by a concrete footing of area $1600$ mm x $1400$ mm$.$ The pressure in the soil may be assumed to disperse $($i$.$e spread out$)$ at an angle of $1$:$2$ on all four sides of the footing.