The beam shown in Fig. Q$-2$ has a span of $5m$ with an overhang of $2m.$ It is to carry a characteristic dead load inclusive of self$-$weight, $g_k,$ of $40k\frac{N}{m},$ and a characteristic imposed load, $q_k,$ of $50k\frac{N}{m}.$ Material properties are: $f_{ck}=30$MPa; and $f_{yk}=500$MPa. Assume zero support width. Minimum design load $=1\mathrm{.}0g_k.$

$($a$)$ Determine using design formulae, the flexural reinforcement required for the section at support $B.$ Use an axis distance of $50mm$ for all longitudinal bars.

$($b$)$ Determine the location where $40\%$ of the tension reinforcement required at support $B$ may be curtailed within the span $AB.$ Assume $=45,$ H$16$ longitudinal bars, and good bond conditions, and neglect the presence of any transverse steel reinforcement.

$($c$)$ Verify the serviceability limit state of deflection for the overhang using allowable span$-$depth ratio, assuming no rotation at support $B.$

All dimensions are in $mm$ unless otherwise stated.

Fig. Q$-2$