A $4\mathrm{.}5m$ high gravity retaining wall has to be designed to retain soll to increase the useable areas on a site.

Design a suitable cross$-$section and Calculate the Factors of Safety for overturning, sliding and bearing capacity.

The soll with a unit weight of $18k\frac{N}{m^3}$ and angle of internal friction $=30.$

The coefficient of friction between the soll and the base is $0\mathrm{.}55$ and the ultimate bearing capacity of the soll is $430k\frac{N}{m^2}.$

The unit weight of the wall is $24k\frac{N}{m^3}$