Question $3$: $(30$ pts$)$

A $2$ mx $3$ m foundation is expected to carry a column load with eccentricities $e_B=0\mathrm{.}15m$ and $e_L=0\mathrm{.}22m.$ It is placed in a soil where $c^{\text{'}}=10$kPa,${}^{\text{'}}=22$ and $=18k\frac{N}{m^3}.$ Determine the maximum load the foundation can carry with factor of safety of $3.$ Use simple approach with twoway eccentricity.