)a concrete pedestal with a square cross section is reinforced with eight steel bars, each with a diameter of 1 in. a compressive axial force of 250 kips is applied to the post. the elastic modulus for steel is 29,000 ksi and for concrete is 4,000 ksi. a) write the equilibrium and compatibility equation(s) needed to solve the problem along with supporting sketches. b) calculate the force in the concrete and the force in each steel bar in kips. be sure to account for the fact that the steel bars take up some of the cross-sectional area of this column. [ans. to check: fc = 206.91 k] c) calculate the normal stresses in the steel and in the concrete in ksi. clearly indicate tension or compression. [ans. to check: σsteel = 6.86 ksi]