(Solved): The T-Beam shown in the figure, has a stem width of 350mm(bw=350mm) and total depth of 6 ...

The T-Beam shown in the figure, has a stem width of $350\mathrm{mm}\left(b_w=350\mathrm{mm}\right)$ and total depth of $650\mathrm{mm}(\mathrm{H}=650\mathrm{mm})$ and the flange thickness is $100\mathrm{mm}$. The Beam is reinforced with $8?36$ at the bottom and $2?36$ at the top. Determine: (Assume 2 layers of steel at the bottom and 1 layer at the top) a) The positive moment capacity of the beam b) If the Beam is simply supported with a span of $8\mathrm{m}$ and carries a total uniform service dead load of $50\mathrm{kN}/\mathrm{m}$. Calculate the maximum allowable uniform service live load the beam can support. (Take $f_c{}^{?}=28\mathrm{MPa},f_y=420\mathrm{MPa})$