Q$\mathrm{.}1)$ The simply support beam has a roller support at A and pin support at $E.$

a$)$ Write the expression for the shear force and bending moment as a function of $x$ measured from the left edge of the beam for the region between points $E$ and $F.$

b$)$ Draw the shear force and bending moment diagrams for the entire length of the beam. Label all critical points.

c$)$ Determine the magnitude and location of the maximum shear force and maximum bending moment in the beam.