$($From the $2008$ Final Exam$)$ The reinforced concrete beam shown at right will support an unfactored live load of $20k\frac{N}{m}$ and an unfactored deal load of $8k\frac{N}{m}$ which includes the beam self$-$weight.

The dimensions of the beam, which will be used as a large girder inside a classroom, have been specified by the Architect and cannot be varied. Design the beam cross$-$section at midspan for flexure. Meet all appropriate requirements of the CSA code such that crack widths will not be excessively wide. For shear reinforcement, $10M$ stirrups will be used.

The beam and slab floor system shown below spans $7m.$ It supports a uniformly distributed live load and a superimposed dead load of $0\mathrm{.}5k\frac{N}{m^2}.$ What is the maximum live load the system can support $($in kPa $)$ based on the midspan flexural resistance of the beam shown below? Does the beam meet CSA crack control requirements and steel spacing requirements? The reinforcement shown is at midspan. Ignore steel in compression, and clear cover to the stirrups is $40mm.f_c=25$MPa,$f_v=400$MPa. Max aggregate size is $10mm.$