QUESTION $1$

$($a$)$ For the ground conditions shown in Figure $1$ below, calculate the in$-$situ total vertical stress ${}_v,$ pore pressure $u$ and effective vertical stress ${}_v^{\text{'}}$ at depths of $3m,5m$ and $8m.$ The water table $($W$.$T$.)$ is at $4m$ depth. Assume that $y_w=10k\frac{N}{m^3}.$

$(9$ marks$)$

$\backslash$table$[[,$Depth$],[$Made Ground $Y_{\text{b}\text{u}\text{t}\text{k}}=18k\frac{N}{m^3},0m$