A $0\mathrm{.}5$ m$-$thick, $3$ m$-$square concrete footing is placed in a clayey sand with $c=20$kPa,$c^{\text{'}}=15$

kPa and $\frac{O}{?}=20,\frac{O}{{?}^{\text{'}}}=29$ at a depth of $0\mathrm{.}5m.$ The unit weight of the soil is $18k\frac{N}{m^3}.$

Estimate the maximum load that can be applied on the footing with a safety factor of $3\mathrm{.}0.$

The unit weight of concrete is $23k\frac{N}{m^3}.$