In addition to the distributed loading shown below, the beam has a $12$ kN force acting $1\mathrm{.}5$ m from the unsupported end of the beam. Neglect the thickness of the beam.

$($a$)$ Using the axes provided, draw the shear and moment diagrams for the beam.

$($b$)$ In addition, provide the internal forces $(N,V,M)$ at a cut $4$ m from support $A.$

ANS:

$M=-\mathrm{.}6895kN*m$

$($CCW$)$

$V=3\mathrm{.}1575kN$

$($up$)$

$N=8\mathrm{.}49kN($to

the right$)$