Problem $4\mathrm{.}3$ A typical section of the beam and the slab of a part of the floor system is shown in the figure below. The beam having a clear span $6$ m carries a uniformly distributed dead load of $\backslash (40\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )($including self$-$weight$)$ and a uniform live load of $\backslash (40\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ).$ The beam width is restricted to $400$ mm and it is reinforced with $10$ mm dia. stirrups and $30$ mm dia main steel. Assume concrete strength $\backslash (\backslash$mathrm$\{$fc$\}^\{\backslash$prime$\}=21\backslash$mathrm$\{$MPa$\}\backslash )$ and the yield stress of steel is $\backslash (\backslash$mathrm$\{$fy$\}=350\backslash$mathrm$\{$MPa$\}\backslash )$ with an E$-$value of steel as $200$ GPa $.$

a$)$ Find the number of $30$ mm dia tension bars required to support the given load and confirm that the design meets all the pertinent ACI $318$ code requirements.

b$)$ Provide a design summary