Problem $(1)$:

For the floor system shown below, determine the theoretical area of reinforcing steel $)$ required for a typical $T-$Beam section shown if:

Span of $T-$beams $=7m$

$f_c^{\text{'}}=21$MPa,$f_y=420$MPa

$$ Ultimate moment $M_u=750kN.m$

$b_w=450mm$

$d=535mm$

$h=600mm$

$$ Slab thickness $=75mm$