Problem #$3$: Refer to the figure below. Estimate the elastic settlement of the foundation in sand for the following data using the method of Mayne and Poulos $($Improved Equation for Elastic Settlement$)$:

Foundation: length $L=3m,$ width $B=2m,$ depth $D_f=1m,$ thickness $t=0\mathrm{.}25m,E_f=25{10}^{3}M\frac{N}{m^2}$

Loading: $,$ net applied pressure $q_o=125k\frac{N}{m^2}$

Sand:

$H=3m,{}_s=0\mathrm{.}2,E_o=12M\frac{N}{m^2},$

$k=400k\frac{N}{m^2}\frac{?}{m}$