Determine the dead $($D$),$ and live $($L$)$ loads for the following building. Then $(1)$ calculate the

governing total factored roof load, $(2)$ calculate the line load on the middle roof joist and

$(3)$ calculate the point load the joist will transfer to the beam.

Retail center with a roof build$-$up of $3$ ply asphalt & no gravel roofing, $11mm$

plywood, $38mm$ steel deck, $150mm$ glass fibre rigid insulation and a tiled

ceiling & suspension system. Include a $0\mathrm{.}3$kPa allowance for the structure self$-$

weight.