T Design a T$-$beam for effective span $7\mathrm{.}00m$ spacing between beam is $3\mathrm{.}00m$ thickess of slab $120mm$ and overall depth as $500mm$ with following loads:

LL: $3\mathrm{.}00k\frac{N}{m^2}$

$FF$:$1\mathrm{.}00k\frac{N}{m^2}$

The beam also supports a portion wall which transmits a load of $12k\frac{N}{m}.$