Problem $3$: A levee $($a long embankment$)$ was recently

constructed from compacted brown earth fill $($total unit

weight $=18k\frac{N}{m^3})$ on top of soft normally consolidated

clay $($saturated unit weight $=16\mathrm{.}5k\frac{N}{m^3})$ with varying

depths. Climatic data and historical wave heights shows

that a freeboard of $1m$ is required. Determine: $($a$)$ how

much of the freeboard would be compromised, $($b$)$

estimate the settlement profile under the levee and plot

a sketch. Limited data is available for the soft, normally

consolidated clay: water content $=55\mathrm{.}6\%,LL=68\%,PL$

$=30\%,$ specific gravity $=2\mathrm{.}7.$