Question $5(35$ Points$)$

A soil profile is provided below. The estimated additional stress $$ from a spread footing overlying an $8$ foot thick overconsolidated clay layer is $950psf.$ The $$ added stress is imposed on the middle of the clay layer. Water is $7ft$ deep.

Due to the footing added stress, estimate the primary settlement $($in inches$)$ of the $8ft$ thick clay layer assuming e $o=0\mathrm{.}90($initial void ratio$),Cc=0\mathrm{.}40$ and $Cr=0\mathrm{.}10$ taken from lab consolidation curve. Assume the clay pre$-$consolidation pressure is $1700psf.$ Assume no settlement from the overlying sand layer.