Shallow Foundation

Problem #$1$

A foundation $2$ m quare is constructed $1\mathrm{.}2$ m below the surface of a uniform sandy gravel having a unit weight of $19\mathrm{.}2k\frac{N}{m^3}$ above the water table, and a submerged unit weight of $10\mathrm{.}1k\frac{N}{m^3}.$ The shear strength parameters are $c^{\text{'}}=0$ and $=30($for $=30,$ given $N_q=22$ and $N_{}=20).$ Using Terzaghi's formula, calculate the allowable bearing capacity of the foundation if the FoS is $3$ for

$($a$)$ Water table is way below the foundation

$($b$)$ water table rises to ground level