Example $11\mathrm{.}2$: The plan of a proposed spoil heap is shown in Fig. $11\mathrm{.}13($a$).$ The heap will stand

on a thick, soft alluvial clay with the E$-$value $18M\frac{N}{m^2}.$ The eventual uniform bearing pres$-$

sure on the soil will be about $270k\frac{N}{m^2}.$ Estimate the immediate settlement under the point

$x$ at the surface of the soil.