Q$1\mathrm{.}1$

The office floor plan shown below has four panels and each panel sits on four edge beams. $S$

$=5m,$ and $L=6m.$

The dead load consists of the following:

corrugated steel deck with concrete fill $=2\mathrm{.}0k\frac{N}{m^2}$

acoustic ceiling tiles $=0\mathrm{.}1k\frac{N}{m^2}$

$,$ vinyl floor tiles $=0\mathrm{.}05k\frac{N}{m^2}$

$.$ allowance for mechanical ducts $=0\mathrm{.}35k\frac{N}{m^2}$

beam self$-$weight $=3\mathrm{.}5k\frac{N}{m}$

The live load is $3\mathrm{.}0k\frac{N}{m^2}.$

$($a$)$ Calculate the design loads for beams B$1$ and B$3.$

$($b$)$ Calculate the design moment $(M^{**})$ and the design shear $(V^{**})$ for beams B$1$ and B$3$ for the

ultimate limit state.