For the floor plan shown in Figure $1,$ the slab has a thickness of $0\mathrm{.}15m.$ The floor carries live load of $2\mathrm{.}0k\frac{N}{m^2},$ floor cover of $2k\frac{N}{m^2},$ in addition to its own weight. All beams are $0\mathrm{.}30\mathrm{.}65m$ and and carrying walls with $0\mathrm{.}25m$ width and $3\mathrm{.}0m$ height. The concrete unit weight ${}_c=25k\frac{N}{m^3},$ while the wall unit weight ${}_w=12k\frac{N}{m^3}.$ All columns are $0\mathrm{.}30\mathrm{.}5m$ and floor height is $3\mathrm{.}65m.$ Find the followings:

$($a$)$ Show tributary areas for all beams on plan;

$($b$)$ Calculate the load carried by beams B$1,$ B$2,$ B$3,$ B$4$ and B$5$;

$($c$)$ Draw a sketch showing the statical system of each beam along with the applied loads;

$($d$)$ Show tributary areas for columns $C1,C2,C3$ and $C4$ on plan;

$($e$)$ Calculate the load carried by columns $C1,C2,C3$ and $C4.$