The temporary platform as shown is to be constructed for circus. For show business purposes, the floor must carry the load as listed:

$DL,100,k\frac{g}{m^2}$

$LL,500,k\frac{g}{m^2}$

Considering the self$-$weight of the steel beams used for the set equal to $100k\frac{g}{m},$

a$)$ Draw Free Body Diagram of Beams B$1$ through B$5($five beams in total$)$

b$)$ Amongst those five beams $($B$1-$B$5),$ which one will be the most critical beam, why?

Legend:

Direction of Floor

Columns

Openings

$4$@$1\mathrm{.}5m=6\mathrm{.}0m$

$4$@$1\mathrm{.}5m=6\mathrm{.}0$mlongrightarrow