Consider the floor framing plan shown below. This is the second floor of a four$-$story building. The design floor live load is $80psf.$ The design roof live load is $20psf.$ The structure has a flat roof.

i$-$ coure riaviring

PLAN

Assume that the floor between Beams B$1$ and B$2$ is supported directly by these two beams only $($not by Girders G$1$ and G$2,$ i$.$e$.,$ the floor is a "one$-$way" slab$).$ Beam B$1$ has a self$-$weight of $36$ plf$.$ The floor slab consists of a $5$ in$.-$thick, normalweight, reinforced concrete slab $($unit weight $=150pcf).$ An additional floor dead load of $10$ psf is specified to account for the weight of suspended utilities and fixtures. As an exterior beam, B$1$ must also support one story of a $4$ in$.-$thick brick wall facade. Assume that the brick wall weighs $10lbs$ per inch of wall thickness per square foot of wall surface area. The height of each story is $14ft.$ Perform the following tasks for Beam B$1$:

a$)$ Compute the tributary area.

b$)$ Draw a free$-$body diagram of the beam that includes all the dead loads that act on the beam.

Repeat Problem $1$ assuming the floor is supported on all four sides $($B$1,$ B$2,$ G$1,$ G$2),$ and reinforced in both directions $($i$.$e$.$ the floor is a "two$-$way" slab$).$

For the rest of the problems, assume one$-$way framing throughout the structure. Perform the following tasks for Girder G$2$:

a$)$ Compute the tributary area

b$)$ Compute the influence area

c$)$ Draw a free$-$body diagram of the girder showing only the live loads that act on the girder $($use live$-$load reduction if allowable$).$

Compute the total live load $($in lbs$)$ that must be resisted by the first story of Column C$1.$ Use live$-$load reduction where allowed.