QUESTION $1$

$17$ MARKS$]$

The figure shown represents the cross section through a proposed cantilever retaining wall. The retained soil has a density of $1500k\frac{g}{m^3}$ and the angle of internal friction $()$ of $31.$ The density of the concrete wall and the base is $2425k\frac{g}{m^3}.$ The surface between the base and the soil underneath the retaining wall is assumed to have a friction co$-$efficient $()$ of $0\mathrm{.}5.$ Assume that the drainage system provided keeps the effect of water from percolating into the soil to minimum and is therefore ignored.

Acknowledging the labels and the shapes shown above, calculate:

$1\mathrm{.}1.$ The stability of the structure for overturning and sliding. State if the wall is stable or not.

$(12)$

$1\mathrm{.}2.$ Calculate and draw the pressure distribution under the footing.

$(5)$