$(5)$ Select a suitable UB section to function as a simply supported beam carrying a $140mm$ thick

solid concrete slab together with an imposed load of $7\mathrm{.}0k\frac{N}{m^2}.$ Beam span is $7\mathrm{.}2m$ and

beams are spaced at $3\mathrm{.}6m$ intervals. The slab may be assumed capable of providing

continuous lateral restraint to the beam's top flange.

$(40$ Marks$)$

Due to restraint from slab there is no possibility of lateral$-$torsional buckling, so design beam

for:

a$)$ Moment capacity

b$)$ Shear capacity

c$)$ Deflection limit