Question Four$-$Beam Deflection

A $2\mathrm{.}3m$ high post is subjected to two loads as shown in Figure $6$A below. The beam is made from

a $100506$ RHS and is bending about the sections $x$ axis.

$I_{}=1\mathrm{.}7{10}^{6}m{m}^4{Z}_{}=34\mathrm{.}1{10}^{3}m{m}^{3}E=200$GPa

$($a$)$ Determine the deflection of the top of the post. State clearly the direction of the

deflection.

$(3$ marks$)$

$($b$)$ Determine the deflection at $1\mathrm{.}2m$ from the bottom of the post. State clearly the direction

of the deflection.

$(3$ marks$)$

$($c$)$ Determine the max bending stress in the section. Clearly indicate the location of this stress

on the beam.

$(2$ marks$)$

$($d$)$ Determine the additional force $($F$),$shown in Figure $6$B$,$ needed to return the top of the post

back to its original position $($zero deflection$).$

$(2$ marks$)$