Biaxial loaded column $(60$ points$)$ Given: The square column shown in figure $1$ subjects to axial load and biaxial bending. The longitudinal rebars are $8$ No$.9$ bars, with three bars in each face. Material strengths are fy$=60,000$psi and fc$=4000$psi. Find: $($a$)$ Find the unique combination of Pn$,$Mnx$,$ and Mny$$ that will produce incipient failure with the neutral axis located as in the figure. The compressive zone is shown shaded. Note that the actual neutral axis is shown, not the equivalent rectangular stress block limit; however, the rectangular stress block may be used as the basis of calculations. $($b$)$ For the axial load Pn$$ found from part a$),$ and for the same column, with the same eccentricity ratio ex$/$ey$,$ find the values of Mnx$$ and Mny$$ that would produce incipient failure using the load contour method. Take $\backslash$alpha $=1\mathrm{.}3.$ Do not Use load factors or strength reduction factors. You can take advantage of the interaction diagrams provided. Compare your results from part a$).($c$)$ For the eccentricities ex$$ and ey$$ found in part a$),$ find the value of axial load Pn$$ that would produce incipient failure using reciprocal method. Do not Use load factors or strength reduction factors. You can take advantage of the interaction diagrams provided. Compare your results from parts a$)\backslash$& b$).$ Figure $1$