(Solved): Please provide a detailed explanation for parts a, b, and c. Short Columns - Axial Compression and U ...

Short Columns - Axial Compression and Uniaxial Bending 1. The rectangular column section shown on right is subjected to uniaxial bending about the (strong) $Y$-axis (put your thumb along the $Y$-axis and your other fingers will show direction of bending). Material strengths are $f^{?}{}^{?}=4\mathrm{ksi}$ and $f_y=60\mathrm{ksi}$. (a) Construct and draw the nominal ${\mathrm{P}}_{\mathrm{n}}?{\mathrm{M}}_{\mathrm{n}}$ interaction diagram using five points: pure bending, pure compression, balanced failure, $c=7$ in., and $c=15$ in. Connect your points using straight lines. (b) Calculate the resulting eccentricities, e. (c) Calculate and show [on the same drawing as in part (a)] the design interaction diagram per ACI 318 using the same five points as in (a).