GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

A square footing of $4\mathit{m}$ side is placed at $1\mathit{m}$ depth in a sand deposit. The dry unit weight ( $\mathit{\gamma }$ ) of sand is $15\mathit{k}\mathit{N}/{\mathit{m}}^3$. This footing has an ultimate bearing capacity of $600\mathit{k}\mathit{P}\mathit{a}$. Consider the depth factors; ${\mathit{d}}_{\mathit{q}}={\mathit{d}}_{\mathit{\gamma }}=1.0$ and the bearing capacity factor: ${\mathit{N}}_{\mathit{\gamma }}=18$. This footing is placed at a depth of $2\mathit{m}$ in the same soil deposit. For a factor of safety of $3.0$ per Terzaghi's theory, the safe bearing capacity (in $\mathit{k}\mathit{P}\mathit{a}$ ) of this footing would be