Retaining Walls

$[21$ marks$]$

A Section through the water retaining structure is shown in Figure $1$ below. The cantilever retaining wall is retaining clean water with a bulk density of $1000k\frac{g}{m^3}.$ The soil underneath the base has a friction coefficient $()$ of $0\mathrm{.}35$

FOS overturning $=\frac{Ms}{Mo}$;FOSsliding$=\frac{Wtotal}{Fa}$;Ecc$=\frac{Mo}{\text{w}\text{t}\text{o}\text{t}\text{a}\text{l}}-\frac{Ms}{\text{w}\text{t}\text{o}\text{t}\text{a}\text{l}}+\frac{B}{2}$

$f=\frac{\text{W}\text{t}\text{o}\text{t}\text{a}\text{l}}{B}\{1+-\frac{6\text{E}\text{c}\text{c}}{B}\}$ and $f=\frac{4\text{W}\text{t}\text{o}\text{t}\text{a}\text{l}}{3(B-2\text{E}\text{c}\text{c})}$

$1\mathrm{.}1.$ Determine the factor of safety of the wall against sliding and overturning

$(16)$

$1\mathrm{.}2.$ Calculate the stresses developed below the base.

$(5)$