A steel pipe pile is to be driven into a clay. Its diameter is $300mm$ and its embedded length is $10\mathrm{.}6m.$ From laboratory tests, it is determined that its total unit weight, ${}_t,$ is $16\mathrm{.}6k\frac{N}{m^3}$ and its unconfined compressive strength, $q_u$ is $67\mathrm{.}0$kPa. Groundwater was not encountered during site investigation to a depth of $15m.$

Determine the design capacity of the pile at a factor of safety of $2.$