A $2\mathrm{.}2m$ wide square flexible pad footing, designed to support a load of $0\mathrm{.}75MN$ applied at its centre for a maximum tolerable settlement of $50mm.$ The footing base is to be located $1\mathrm{.}5m$ below the ground level, and the ground water table is $4m$ below the ground surface. The depth to rigid stratum $($weathered rock$)$ is $6\mathrm{.}5m.$

Determine whether,

$($i$)$ the footing satisfies the short term & long term bearing capacity criterion $($for a factor of safety of $2\mathrm{.}0)$ and

$($ii$)$ the footing satisfies the serviceability $($settlement$)$ criterion.

The footing is to be founded on the dense sand soil profile with characteristics given below.

$\backslash$table$[[$Undrained Cohesion,$=,75$kpa