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A square footing of $ 4 \: m$ side is placed at $1 \: m$ depth in a sand deposit. The dry unit weight $( \gamma)$ of sand is $15 \: kN/m^3$. This footing has an ultimate bearing capacity of $600 \: kPa$. Consider the depth factors: $d_q=d_{\gamma}=1.0$ and the bearing capacity factor: $N_{\gamma}=18.75$. This footing is placed at a depth of $2 \: m$ in the same soil deposit. For a factor of safety of $3.0$ as per Terzaghi’s theory, the safe bearing capacity (in $kPa$) of this footing would be _________
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