point loads at B and D$,$ a moment couple at C$,$

and a triangular distributed load from E to F$,$ with a fixed support at F$.$

a$.$ Draw the shear and bending moment diagrams. Make sure to label the values of shear and

moment at each point on the beam $($i$.$e$.,$ points A$,$ B$,$ C$,$ D$,$ E$,$ and F$)$

b$.$ What is the magnitude of the peak moment in the beam and where does it act?

c$.$ Where between points E and F on the beam does the shear go to zero?