$9-8.$ A square footing $2$ m by $2$ m is to be constructed $1\mathrm{.}22$ m below the ground surface, as shown in Figure $9-42.$ The groundwater table is located $1\mathrm{.}82$ m below the ground surface. The subsoil consists of a uniform, medium dense, cohesionless soil with the following properties:

Unit weight $of$ soil $=18\mathrm{.}53k\frac{N}{m^3}$

Angle $of$ internal friction $=32$

Cohesion $=0$

$y=18\mathrm{.}53k\frac{N}{m^3}$

$=32$

$c=0$

FIGURE $9-42$

Determine the foundation soil's allowable bearing capacity if a factor of safety of $3$ is used.