Given:

$-$ the sheet$-$pile soil system shown in Figure $2,$ where L$1=1\mathrm{.}5$ m and L$2=3$ m;

$-$ for the sand:

$$

$\text{'}=33\backslash$deg

$$

$=16\mathrm{.}5$ kN$/$m$3$

$$

$$sat $=19\mathrm{.}0$ kN$/$m$3$

$-$ for the clay:

$$ c $=50$ kN$/$m$2,$

$=0,$ and

$$sat $=20$ kN$/$m$3.$

Determine the required depth of embedment of the sheet pile, allowing for a $50\%$ increase from

the theoretical estimate