$$

$5$:$172024/1/1$

A square foundation is $1\mathrm{.}5m1\mathrm{.}5m$ in plan. The soil supporting the foundation has a friction

angle of $=25$ and $c^{\text{'}}=16K\frac{N}{m^2}.$ The unit weight of soil $$ is $18k\frac{N}{m^3},$ and The unit

saturated weight ${}_{mc}$ is $23k\frac{N}{m^3}.$

Assume that the depth of the foundation $D_c$ is $2m$ and that general shear failure occurs in the

soil.

The water table depth has three cases: case $($a$)1\mathrm{.}6$ m and case $($b$)2\mathrm{.}5$ m $.$

Determine the surcharge $q$ in cases $($a$)$ and $($b$).(2$ Marks$).$

Assuming that the depth factors are negligible, determine the ultimate bearing capacity

in both cases $($a$)$ and $($b$).(2$ Marks$).$

Determine the allowable bearing capacity in both cases on the foundation with a factor

of safety $($FS$)$ of $2.(1$ Mark$).$

Determine the allowable gross load in both cases on the foundation $(1$ Mark$).$

The load applied on this foundation is $900$ KN give your opinion on the situation in both

cases $(1$ Mark$)$