Question $1$

$[36]$

Figure $1$: Simply supported beam

A horizontal beam, the weight of which may be ignored, is loaded as shown in Fig. $1$ above.

$($a$)$ Determine the two reactions $R_A$ and $R_D.$

$(8)$

$($b$)$ Calculate the shearing forces at $B,C$ and $D.$

$(9)$

$($c$)$ Calculate the moments at $A,B,C,D$ and $E.$

$($d$)$ Sketch the shearing$-$force and bending$-$moment diagrams for the loading shown. Label all critical points for these diagrams.

$(8)$