$(25$pts$)$ A beam is loaded as shown. Support A is an anchored frictionless pin. Support B is a

frictionless roller.

a$.$ Show that the support reactions are $Ax=0,Ay=0\mathrm{.}833$ kip down, $By=21\mathrm{.}833$ kip up$.$

b$.$ Find the expressions for the internal shear Vint across the beam.

c$.$ Find the expressions for the internal moment Mint across the beam.

d$.$ Sketch the shear diagram, noting any maxima, minima, zero crossing, slopes, and if non$-$

linear whether concave or convex.

e$.$ Sketch the moment diagram, noting any maxima, minima, zero crossing, slopes, and if

non$-$linear whether concave or convex.