Problem $1$

Given the following flexible pavement structure,

$p=90$ psi and $a=5$ inches

$E_1=300ksi{v}_1=0\mathrm{.}35$

$E_2=40$ksi,$v_2=0\mathrm{.}40$

$E_3=20$ksi,$v_3=0\mathrm{.}45$

$E_4=10$ksi,$v_4=0\mathrm{.}50$

Using WinLEA:

a$)$ Compute and plot the vertical deflection, $U_{z_8}$ as a function of radial offset $(r)$ over the range $-$

$3ftr+3ft$ at depths $($z$)$ of $0,8\mathrm{.}01,16\mathrm{.}01$ and $28\mathrm{.}01$ inches. Comment on your results.

b$)$ Compute and plot the vertical strain, ${}_{zz},$ as a function of radial offset $($r$)$ over the range $-3ft$

$r+3ft$ at depths $(z)$ of $0,8\mathrm{.}01,16\mathrm{.}01$ and $28\mathrm{.}01$ inches. Comment on your results.

c$)$ Compute and plot the vertical stress, ${}_{zz},$ as a function of radial offset $(r)$ over the range $-3ft$

$r+3ft$ at depths $($z$)$ of $0,8\mathrm{.}01,16\mathrm{.}01$ and $28\mathrm{.}01$ inches. Comment on your results.

Consider using the following $r$ values: $0,1,2,4,8,18,$ and $36$ inches to cover the range $-3ftr$

$+3.$

d$)$ On the same graph, compute and plot the vertical and horizontal stresses, ${}_{zz}$ and ${}_{},$

respectively, under the center of the load as a function of depth $($z$).$ Comment on your results.

e$)$ On the same graph, compute and plot the vertical and horizontal strain, ${}_{\frac{?}{\text{b}\text{a}\text{r}}(z)z}$ and ${}_x,$ respectively,

under the center of the load as a function of depth $($z$).$ Comment on your results.