Select the lightest W shape to support a uniformly distributed load over the whole length of the beam. The live load is $900$ lb$/$ft and the dead load is $550$ lb$/$ft$.$ The beam is simply supported and the span is $20$ ft$.$ Deflection is not to exceed span$/240$ for the live load. E $=29,000$ ksi, Fy $=36$ ksi. Use the method described in the PowerPoint Presentation and Solved Example video and check for bending moment including self$-$weight, deflection, and shear. Make sure to include the values for each failure mode and the capacity that you are comparing with for each failure mode, as was done in the video.