A standard plate$-$load test was conducted on a clay soil using a plate of $0\mathrm{.}60\mathrm{.}6$ m $.$ Under the ultimate vertical load V of $96\mathrm{.}8$ kN the plate settlement was $5$ mm $.$ If the clay supports a square footing, what will be its net safe bearing capacity net $q_{\text{s}\text{a}\text{f}\text{e}}$ with a safety factor $SF=3?$ What size of square footing is required to carry a column load Q of $550$ kN and what will be the settlement?