$I_{ef}=1915{10}^{6}m{m}^4$

$Ec=30,100$MPa

$s=1\mathrm{.}0$ and $l=0\mathrm{.}6$

Permanent load $=16k\frac{N}{m}$

Imposed load $=10k\frac{N}{m}$

The cross$-$section shown above is used for a simply supported beam with an effective span of $5\mathrm{.}5$ m $.$ The total deflection at the midspan, the maximum allowable deflection and the deflection decision is:

$($a$)$ Total deflection $=9\mathrm{.}8mm$; max. allowable deflection $=24mm$; :$.$ deflection OK$.$

$($b$)$ Total deflection $=11\mathrm{.}7mm$; max. allowable deflection $=22mm$; :$.$ deflection OK

$($c$)$ None of the other answers is correct

$($d$)$ Total deflection $=11\mathrm{.}7mm$; max. allowable deflection $=11mm$; :$.$ deflection not OK

$($e$)$ Total deflection $=37\mathrm{.}9mm$; max. allowable deflection $=22mm$; :$.$ deflection not OK