Problem $3.$

See the floor plan below and the following load information.

Given:

Total Dead Load$=55$ psf $($assume this is sufficient to account for self$-$weight of all members$)$

Total Live Load $=100$ psf

All beams are simply supported $($pinned at each end$).$ Intermediate Beams are equally spaced.

$($Hint: An ultimate value is an LRFD load combo demand$)$

a$)$ Using LRFD combos, calculate the ultimate area distributed load in psf$.$

b$)$ Determine the distributed load on Beam $"$A$".$

c$)$ Determine the ultimate moment in Beam A$.$

d$)$ Determine the ultimate shear in Beam A$.$

e$)$ Draw the loading diagram for Girder B $($draw a beam and the applied load acting on Girder B$).$

Indicate the magnitude of the applied loads.

f$)$ What is the ultimate moment in Girder B$?$

g$)$ What is the ultimate shear in Girder B$?$

h$)$ Based on this floor alone, what is the ultimate axial load in Column C$.$

i$)$ Based on this floor alone, what is the ultimate axial load in Column C$.$