A foundation $2$ m square is to be located at a depth of $1$ m below the ground

surface in a deposit of compacted sand having an effective friction angle of $35$

and ${}_{\text{s}\text{a}\text{t}}=18k\frac{N}{m^3}$ to support a vertical concentric load. The ground water level

is $5$ m below the ground surface but the soil above ground water table is saturated.

Determine the ultimate bearing capacity, net ultimate bearing capacity, net safe

bearing capacity and safe bearing capacity. Take FS $=2\mathrm{.}5.$ For the same

configuration, if the ground water were located at $($a$)$ the base of the footing and

$($b$)$ at the ground surface.