A flexible shallow foundation $(3m3m)$ carries a uniformly distributed load of $q_0=500k\frac{N}{m^2}.$ Estimate the elastic settlement below the center of the loaded area. Given $D_f=2m,H=13m,E=10000k\frac{N}{m^2},$ and ${}_s=0\mathrm{.}3.(8\%).$

Rock

$S_e=\frac{q_{0}B}{E_s}(1-{}_s^2)I_s{I}_f$

where $,I_S=F_1+\frac{1-2{}_s}{1-{}_s}{F}_2$

$($at a corner of the foundation$)$