Draw the total stresses distribution and compute the total force and its location, acting on a $12m$ high gravity $($rigid$)$ retaining system with a vertical smooth face which is allowed to yield and therefore mobilize the full strength of the soil in an active stress condition.

The wall will provide temporal support for an excavation on a profile consisting of$.2\mathrm{.}5m$ of fill, $6m$ of soft low plasticity clay and $3\mathrm{.}5m$ of medium dense sand. The water table is at a depth of $1m.$ No drainage is provided on the face of the wall. Assume Rankine active state conditions and no flow under the wall taking place. The soil properties are described below:

Uncompacted Fill: $,{}_t=17\mathrm{.}5k\frac{N}{m^3}$;${}^{\text{'}}=30,c^{\text{'}}=0$

Soft Clay: ${}_t=18\mathrm{.}5k\frac{N}{m^3}$;${}_u=0,c_u=50$kPa

$($total stress properties$)$

Medium Dense Sand: ${}_t=20\mathrm{.}0k\frac{N}{m^3}$;${}^{\text{'}}=36,c^{\text{'}}=0$

${}_w=9\mathrm{.}81k\frac{N}{m^3}$