A rectangle foundation is $3m**2m$ in plan. The sand supporting the foundation has a friction angle of $25$ degrees. The unit weight of the sand is $16k\frac{N}{m^3}$ and the saturated unit weight of the soil is $24k\frac{N}{m^3}.$ Determine if the allowable gross load on the foundation $($assuming a Factor of Safety $3)$ can support a specified dead load of $50kN$ and a specified live load of $130kN.$ Assume that the depth of the water table is $1\mathrm{.}0m.$ The depth of the foundation, $D_1$ is $1\mathrm{.}5m$ and that general shear failure occurs in the soil.