Q$4$: A $100$ psi pressure is applied through a circular area $(12$ in $)$ in diameter on granular hall of earth pressure at rest is $($K$00\mathrm{.}6.$ Poisson's ratio $=0\mathrm{.}35,$ and its elastic modulus $(E)$ varics with the sum of normal stresses acconding to the equation shown in Figure $2.$ Assuming that the normal stresses distribution is valid and that the stresses an $12$ in below the center on lewaded area are used to compute the elastic modutus. Deternine the maximum deflection at the surface of pavement.

$E=3000{}^{0\mathrm{.}55}$

$=z+r+t+z(1+2K0)$