QUESTION $1($COMPULSORY$)$

A continuous T$-$beam is shown in Figure $1$ below, supports unfactored dead load of $\backslash (24\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$ from the slab load and finishes, and an imposed load of $\backslash (5\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )($unfactored$).$ Given the beam cross $-$ section. Do the following.

$1\mathrm{.}1$ Calculate the effective width of the flange.

$1\mathrm{.}2$ Calculate the ultimate design load of the beam.

$1\mathrm{.}3$ Calculate the moments and shear values at the critical sections in the case where the ultimate load covers the entire length of beam. Ignore moment redistribution.

$1\mathrm{.}4$ Design the first internal support of the continuous beam for flexure.

$1\mathrm{.}5$ Check the first internal support of the continuous beam for shear.

$1\mathrm{.}6$ Check the near centre of end span of the continuous beam for deflection. $(8)$

Use this information to design the beam.

All the dimensions are in mm $.$