b$)$ Given that the simply supported L$-$ beam A$1-$B$1$ in figure below is $600$ mm deep and $300$ mm wide, the part of slab $150$ mm thick that it supports carries a variable load of $2\mathrm{.}5K\frac{N}{m^2}-Qv$ floor finish of $25$ mm $,$ underside plaster of $25$ mm $,$ block wall $200$ mm thick and $3\mathrm{.}0$ m high. Assuming grade $30$ concrete, grade $500$ steel, $20$ mm cover, $8$ mm links, $25$ mm longitudinal bars, unit weight of concrete is $25K\frac{N}{m^3},$ unit weight of block wall and finishes is $20K\frac{N}{m^3}$

$($i$)$ Determine the ultimate load supported by the beam

$h=d-\frac{1}{D}\frac{?}{(2)}-$lak$-G$

$(6$ marks$)$

Selfuright

fingins.

wall.

$($ii$)$ Determine the effective depth of the beam.

$(1$ marks$)$

$($iii$)$ Calculate the applied moment at the mid$-$span.

$(3$ marks$)$

$($iv$)$ Calculate the area of tensile steel at the mid$-$span.

$(6$ marks$)$

$($v$)$ Calculate the shear reinforcement.

$(4$ marks$)$

$($vi$)$ Check the deflection of the beam.

$(3$ marks$)$