A retaining wall is to constructed on a site shown in Figure. The concrete retaining wall$$s dimensions are designed as B$1,$ B$2,$ B$3,$ H$1,$ H$2,$ and H$3.$ The unit weight of the concrete to be used is $23\mathrm{.}5$kN$/$m$3$ Friction coefficient between the wall and the foundation soil is $0\mathrm{.}8.(\backslash$gamma water$=9\mathrm{.}8$kN$/$m$3)$

Hint: You may construct a table including pressures, forces, moment arms and moments.

Q$1)$ Determine all the forces acting on the wall $($by showing pressure distributions$).$

Q$2)$ Determine resulting moments.

Q$3)$ What is the factor of safety against both sliding and overturning?

Q$4)$ Write a conclusion about the design of your concrete retaining wall

$($H$1=30,$ H$2=450,$ H$3=60,$ H soil$1=450,$ Hsoil$2=400,$ Hgwt$1=300,$ Hgwt$2=300,$ B$1=300,$ B$2=50,$ B$3=60,$ q$($kPa$)=20)$

Soil $1$: pdry $=1\mathrm{.}7$t$/$m$^3,$ psaturated $=1\mathrm{.}8$t$/$m$^3,$ f$1=32$ degree, c$1=5$ kPa

Soil $2$: pdry $=1\mathrm{.}65$t$/$m$^3,$ psaturated $=1\mathrm{.}76$t$/$m$^3,$ f$2=28$ degree, c$2=5$ kPa

Soil $3$: pdry $=1\mathrm{.}9$t$/$m$^3,$ psaturated $=1\mathrm{.}96$t$/$m$^3,$ f$3=26$ degree,$$c$3=10$kPa