Figure $2$ shows a soil profile. The uniformly distributed load on the

ground surface is $=150k\frac{N}{m^2}.$ You may use the following correlation model to estimate the

compression index $C_c.$ Also, assume $C_s$~~$0\mathrm{.}2C_c.$

Skempton $(1944)$: $,C_c=0\mathrm{.}009(LL-10)$

$($i$)$ Find the initial effective vertical stress at the middle of the clay layer before the placement of the

distributed load.

$($ii$)$ Estimate the primary consolidation settlement in the clay layer if the preconsolidation pressure is

$175k\frac{N}{m^2}.$

$($iii$)$ The coefficient of consolidation for the clay is estimated to be $8{10}^{-5}c\frac{m^2}{sec}.$ Evaluate the

excess water pressure and the effective vertical stress at the middle of the clay layer $1$ year after

the placement of the distributed load.

Figure $2.$ Soil profile