QUESTION $5$: RETAINING WALLS

A retaining wall with a trapezium shape retains water to the full height of $6$ m $.$ The top of the wall is $2$ m wide and the base is $3$ m $.$ The density of the wall material is $2100k\frac{g}{m^3}.$

Calculate:

$5\mathrm{.}1$ The lateral force of the water and the vertical reaction of the ground

$5\mathrm{.}2$ The force moments and weight moments about the toe

$5\mathrm{.}3$ The safety factor for overturning and state whether it is within the minimum limit

$5\mathrm{.}4$ The position of the vertical reaction from the toe and state whether tension will occur in the wall giving a reason why or why not

$5\mathrm{.}5$ The minimum ground$-$bearing pressure required underneath the wall

$[15]$