A soil profile includes an $8\mathrm{.}5m$ thick layer of saturated normally consolidated silty clay with

total unit weigh of $16\mathrm{.}4k\frac{N}{m^3}.$ A piezometer has been installed athe midpoint of the silty clay

layer at Point A$.$ The initial pore pressure recorded by the piezometer was $52$kPa. A $2\mathrm{.}1m$ fill

with unit weight of $18\mathrm{.}7k\frac{N}{m^3}$ was then placed on the site. After $220$ days the measured pore

pressure at Point A was $77$kPa. Calculate the coefficient of consolidation $(\{$:$c_v=\frac{m^2}{d}ay)$ of the

silty clay layer from this information.

CE $354$ Introduction to Geotechnical Engineering