Problem $2$: $(30$ points$)$

A five stories building was subjected to factored gravity loads and factored wind shears as shown below.

Each floor has $40,000$ square foot of area and is subjected to factored gravity load $Wu=300$ psf$.$

$\backslash$table$[[$Floor$,\backslash$table$[[$Height$],[$Ft$]],\backslash$table$[[$Vus$],[$Kips$]],\backslash$table$[[+],[$in$]],\backslash$table$[[$F$\text{'}$c$],[$psi$]]],[5,12,100,0\mathrm{.}3,6000],[4,12,200,0\mathrm{.}25,6000],[3,12,300,0\mathrm{.}2,8000],[2,18,400,0\mathrm{.}14,8000]]$

Vus is the story wind load shear and $+$ is the story lateral drift due to the wind load.

For the fifth floor column, the column is ${18}^{\text{'}\text{'}}{18}^{\text{'}\text{'}}$ and is subjected to the following:

For the second floor column, the column is $28"{28}^{\text{'}\text{'}}$ and is subjected to the following:

For each of the fifth and second floor, determine:

a$)$ Whether the columns are slender or short columns

b$)$ Determine the design moments and axial loads

Assume that $K=1\mathrm{.}0$ for non$-$sway frames and $k=1\mathrm{.}2$ for sway frames. Neglect the difference between the clear height of columns and the floor height. All columns are in single curvature.