Design and select the lightest possible edge beam for a steel canopy over the front door of the

shopping outlet. It will be clad with architectural wood panels top and bottom; this provides lateral

stability to the beam flanges. The total dead load is estimated at $0\mathrm{.}8$ kPa $.$ The canopy must support

a trapezoidal snow load of $4$ kPa at the hotel wall tapering to $3$ kPa at the front of the canopy. The

architect is asking for a flat$-$faced edge beam so it creates an aesthetically pleasing view. The edge

beam is pinned at each end $($refer to the sketch below$).$ You can think of two options to offer

$($below$)-$ design both options with adequate moment and shear capacity to resist the factored

loads. Check the live load deflection to span$/300$ and total load deflection to $25$ mm $.$

a$)$ Option $1$: Use a G$40\mathrm{.}21350$W channel so the back of the C is outwards for the flat$-$face.

b$)$ Option $2$: Use a G$40\mathrm{.}21350$W rectangular HSS $($long side vertical$)$ to give the flat$-$face.