draw sfd and bd using area method

Write shear and moment equations for the beams in the following problems. In each problem, let

$x$ be the distance measured from left end of the beam. Also, draw shear and moment diagrams,

specifying values at all change of loading positions and at points of zero shear. Neglect the mass

of the beam in each problem.

Problem $417$

Beam carrying the triangular loading shown in Fig. P$.417.$