$11-3.$ A schedule $40$ PIPE $4$ STD is filled with concrete having a modulus of elasticity of $4,090$ ksi and ultimate strength of $5\mathrm{.}63$ksi. If one defines the design factor as $N=\frac{{}_d}{{}_{\text{u}\text{l}\text{t}}}$ and uses a value of $N=3$ for both steel and concrete, determine the amount of total compressive axial force that can safely be applied when it is used as a column that is $5\mathrm{.}0ft$ long. Assume it will not buckle. How much will the column strain?