Problem $1$: The floor plan for a $2-$story building is protided below. The concrete floor slab is supported on all four sides throughout the building $($check two$-$way slab action$).$ Assume all of the comnections do not transfer moment $($simply supported$)$ and all members are connected to each other as shown $($e$.$g$.,$ beam $AF$ connects directly to columns A and $F,$ beam $BG$ connects to girders $AC$ and $FH,$ etc.$)$ Use the concepts of tributary area, load path, and the LRFD load combinations to determine the loads on the structure. Apply live load reduction if appropriate, but do not reduce the live load on the roof. Ignore the self$-$weight of the structural members.

$\backslash$table$[[$Load Type,Roof $(2^($nd $)$ Floor$),1^($th $)$ Floor$],[$Dead Load,$35$ psf$,45$ psf$],[$Live Load,$15$psf$*,80$ psf$],[*$Roof live load is L$\_($r$)$ for combinations,,$]]$

PLEASE SOLVE EACH OF THESE BASED ON THE QUESTION. SHOW ALL WORKING PLEASE.

$1\mathrm{.}1)$ Sketch and calculate the tributary area for floor beams $BG$ and $GL.$

$1\mathrm{.}2)$ Determine the design loads for floor beams $BG$ and $GL$ at the $1^{sh}$ floor.

$1\mathrm{.}3)$ Determine the design loads for girder $KM$ at the $1^4$ floor.

$1\mathrm{.}4)$ Determine the design loads on column $H$ at the ground level.

$1\mathrm{.}5)$ Sketch and calculate the tributary area for girder $HJ.$

$1\mathrm{.}6)$ Create a diagram showing the loading pattern on girder $HJ.$ Do not calculate the values of the loads.