A T$-$beam for a floor system has a slab thickness of $100mm$ and a total depth of $550mm.$ It

has a web thickness of $300mm.$ The $t-$beam is cast monolithically with the slab. The beam

has a simple span of $6m$ with a clear spacing of adjacent beam equal to $2\mathrm{.}4m.f^{\text{'}}c20$Mpa, $fy=$

$413\mathrm{.}7$ Mpa. Solve for the ultimate moment capacity of the beam if it is reinforced with a steel

area of $2269m{m}^2$ with an effective depth of $485mm.$