Problem $2[25$ Points$]$

A school classroom has a framing plan as shown in Figure $2.$

A$)$ Use Table $4\mathrm{.}3-1$ of ASCE $7-16$ and determine the

uniformly distributed floor live load $($unit: psf$).$

B$)$ Calculate the tributary area for the edge column $($unit:

$f{t}^2).$

C$)$ Determine the column load due to dead and live load

$($unit: kip$).$

D$)$ Determine the column design load due to the

combination of dead and live loads $($unit: kip$).$

E$)$ Investigate if the column live load can be reduced. If

the live load reduction is allowed, determine:

a$.$ The reduced uniformly distributed live load $($unit: psf$).$

Figure $2-$ Floor Framing Plan

b$.$ The reduced column live load $($unit: kip$).$

c$.$ The column design load due to dead load and reduced live load $($unit: kip$).$

Assumptions:

Floor dead load$=60$ psf

The column does not take any load from the roof.

The column supports one floor.

Parameters:

$a_1=30ft$

$a_2=45ft$

$b_1=40ft$

$b_2=30ft$

Beam spacing $=\frac{a_1}{3}$