Q$4.$ For a four$-$span continuous beam with flanged section and the length of each span

$=5m,$ the characteristic permanent load $($including the self weight of the beam$)G_k=$

$25k\frac{N}{m}$ and the characteristic live load $Q_k=10k\frac{N}{m}.$

Assume the width of flange $bf=600mm,$ the width of web $bw=275mm,$ the effective

depth $d$ for both sagging and hogging bending $=500mm,C\frac{25}{30}$ concrete and grade

$500$ steel.

$($a$)$ Identify the load combinations for the maximum sagging moment $($i$.$e$.,$ maximum

mid$-$span moment$)$ throughout the beam.

$($b$)$ Identify the load combinations for the maximum hogging moment at the interior

supports.

$($c$)$ Determine the areas of reinforcement required to resist the maximum mid$-$span

sagging moment.

$($d$)$ Determine the areas of reinforcement required to resist the maximum support

hogging moment.

$($e$)$ Design the transverse shear reinforcement in the flanged beams.

$($f$)$ Design the vertical shear reinforcement for the end span. Use at least two

different amounts of shear links $($i$.$e$.,$ two different shear link spacings$)$

throughout the end span.