QUI$213(6$points$)$

Beam ABCDE is loaded as shown. The beam is supported by a fixed end at A and a

roller at $E.$ A hinge is located at $B.$

$($a$)$ Determine the magnitude and direction of all reactions at A and $E.$

$($b$)$ Find minimum and maximum of the shear force $V$

$($c$)$ Find all points of the beam where moment is zero, minimum and maximum

Step $1$: Separate structure to beam $AB$ and beam $BE$ and draw for each $FBD$ and find all reactions at $A,B$ and $E.$

Step$2$: For the beam, $AB$ make a cut $"1"$ between A and $V1M1BM2x1=x-4\mathrm{.}5xCx1=x-4\mathrm{.}5x1=x-4\mathrm{.}5$