Problem III: $(25$ points$)$

The one$-$way metal deck platform shown in Figure III is loaded on three simply

supported steel secondary beams $($SB$1$&SB$2)$ that are, in turn, supported on two simply

supported reinforced concrete primary beams $($B$1).$ The platform is to carry an additional

finishing load $($S$.$D$.$L$)$ of $2\mathrm{.}0$kPa and a Live load of $6$kPa. If the secondary beam section is

weighing $50k\frac{g}{m}$ and spans over $6m$ and the primary beam section is $300mm($width$)x$

$800mm($depth$)$ and spans over $8\mathrm{.}0m$ :

Calculate and draw the uniform service dead and live loads on the secondary beams

SB$1$ and SB$2,$ in Tons$/$m or in $k\frac{N}{m}(15$ points$).$

Calculate and draw the loading diagram for one of the primary beams $($B$1),$ in Tons or in

$kN.$ Calculate the reactions of this primary beam on columns $(10$ points$).$

Note: $1$kPa$=100k\frac{g}{m}2,1$kPa$=1k\frac{N}{m}2,1k\frac{N}{m}=100k\frac{g}{m}.$ Unit weight of reinforced

concrete is $24\mathrm{.}5k\frac{N}{m}3.$