Project Description

It is desired to design a gravity retaining wall against foundation failure $($ULS $1),$ sliding at the contact soil$/$footing $($ULS $2),$ and overturning about the toe of the wall $($ULS $3).$

The unyielding wall retains a cohesionless sand $($the same sand is underlying the wall foundation$)$ with an internal friction angle of $35$ and a unit weight of $18\mathrm{.}2k\frac{N}{m^3}$ when dry and $9\mathrm{.}1k\frac{N}{m^3}$ unit weight when submerged. The unit weight of the concrete is $24k\frac{N}{m^3}.$

The wall is $4m$ tall from the foundation plane to ground surface behind the wall. The back of the wall is vertical $($assume no soil$/$wall friction on the back of the wall$),$ the ground surface behind the wall is horizontal. The water table behind the wall is at the foundation plane. The depth of soil in front of the wall is $0\mathrm{.}5m.$

The stem and footing of the wall are $1m$ thick. The breath of the foundatior is $2\mathrm{.}5m$ with the stem centered on the foundation.

Document all your work, and sketch the pressure distribution behind the w