Problem $1.$

a$.$ A footing is going to be built on the site shown below. The clay has a specific gravity of $2\mathrm{.}61,$ and a compression index $(C_c)$ of $0\mathrm{.}33.$ What will be the consolidation settlement? Assume that $$ at the center of the clay layer is $1000$ psf $.$ Assume OCR$=2$ and $\frac{C_r}{C_c}=0\mathrm{.}1.(30$ points$)$

b$.40\%$ consolidation for a $2-$ft thick layer $($drained at top and bottom$)$ takes $6$ months. How long will it take for the same layer to reach $40\%$ consolidation if it is drained only at the bottom? $(10$ points$)$