Using the Boussinesq equation, calculate and plot the vertical stress $($z$)$ from a point load $($P$)$ as a function of radial offset $($r$)$ at depths $($z$)$ of $1,2$ and $4$ feet. Assume P $=9000$ lb and plot the stresses IN PSI over the range $6$ ft $<=$ r $<=+6$ ft$.$ Plot the curves for all three depths on the same graph.Repeat for the vertical deflection.Assume the elastic half$-$space has a Poisson$$s ratio of $0\mathrm{.}5$ and a modulus of $10,000$ psi.