$2)$ Steel Column Design $(4\mathrm{.}5$ points$)$

Given:

Floor DL $($including the beam weight$)$

$15$ PSF

Note: considering that it is a $10-$story building, the

Floor LL

$50$ PSF

$10-$story building. load is $10$ times the load in the tributary area. For example, if you calculated the load for this floor as $1$ k $,$ the total load on this column is $10$ k $.$

Column Height, $15$ ft

For this question, USE the LRFD Load

Modulus of elasticity for steel, E $=29,000$ KSI

Combination for the Live and Dead loads from the table.

a$)$ Find the tributary area for one floor $(1).$

b$)$ What is the total load $($Live and Dead using LRFD Load Combination$)$ for one floor$(1)?$

c$)$ Find the total load on the column on the first floor $(0\mathrm{.}5)?$

d$)$ What is the proper steel profile from the table at the end of this PDF $(1)?$

e$)$ What would be the proper choice for the same column if fully braced in the weak axis from the same table $(1)?$