Q$2(50$ marks$)$

$($a$)$ Calculate the reaction forces for the beam above and show them on a FBD sketch of beam. $(10$ marks$)$

$($b$)$ Take a "cut" through point P and draw FBD$1$ for the part of the beam to the left of point P and FBD$2$ for

the part of the beam to the right of P $.$ Use equilibrium equations for FBD$1$ to determine the value of the shear

force $($V$)$ and the bending moment $($M$)$ at point P $.$ Repeat this with FBD$2$ and show that the same V and M

values are obtained.

$(15$ marks$)$

$($c$)$ Draw the SFD and BMD diagrams for the beam. You must label your diagrams with your

calculated values at all of the key points.

$(25$ marks$)$

F$1=35$kN

F$2=21$kN

X$1=4\mathrm{.}2$ m

X$2=3\mathrm{.}7$m