Problem $1$:

A vertical column load, $P=600kN,$ is applied to a rigid concrete foundation with dimensions $B=1m$ and $L=2m,$ as shown in the below figure. The foundation rests at a depth $D_f=0\mathrm{.}75m$ on a uniform dense sand with the following properties: average modulus of elasticity, $E_s=20,600k\frac{N}{m^2},$ and Poisson's ratio, ${}_s=0\mathrm{.}3.$ Estimate the elastic settlement due to the net applied pressure, $,$ on the center of the foundation. Given $H=5m.$

Problem $2$:

A rigid reinforced concrete foundation is subjected to a column load of $87,000lbs.$ The foundation measures $8ft8ft$ in plan and rests on $21ft$ of layered soil underlain by rock. The soil layers have the following characteristics:

$\backslash$table$[[$Layer type,Thickness $(ft),\backslash$table$[[E_s$