For the the longitudinal interior frame $($Frame A$)$ of the falt plate floor shown in Figure,by using the Direct Design Method, find:

a$.$ Longitudinal distribution of the total static moment at factored loads.

b$.$ Lateral distribution of the moment at exterior support.

Slab thickness $=200mm,d=165mm$

$q_u=15\mathrm{.}0k\frac{N}{m^2}$

All edge beams $=250500mm$

All columns $=500500mm$

$f_c^{\text{'}}=25$MPa,$f_y=400$MPa