Problem $3$:

A rectangular $\backslash (400\backslash$times $700\backslash$mathrm$\{$~mm$\}\backslash )$ beam is shown in the figure below. The beam supports a concentrated load, $\backslash ($ P $\backslash ),$ at midspan. The internal steel reinforcement is also shown. Calculate the following:

a$.$ Maximum immediate deflection at midspan due to live load only.

b$.$ If the beam is a part of a floor construction supporting non$-$structural elements not likely to be damaged by large deflections, does the overhang satisfy CSA A$23\mathrm{.}3$ deflection requirements?

Note: Ignore the self weight of the beam and ignore the $2-30$M compression reinforcement at the top of the beam.

Section at Interior Support

All dimensions are in mm $.$