A solid circular shaft has a diameter of $60$ mm and is subjected to a tensile axial load of $200$ kN $,$ a bending moment of $3\mathrm{.}00$ kN m $,$ and a torque of $5\mathrm{.}00$ kN m $.$ A safety factor against yielding is $2\mathrm{.}0.$ What is the minimum yield strength required to prevent plastic deformation?