Part $1$: To design the corner slab as shown in figure below, use ACI direct design method. All columns are $400mmx400mm.$ All beams are $400mm$ wide and $550mm$ deep. $q_u=20k\frac{N}{m^2}($including own weight$).f_c^{\text{'}}=28$MPa $(4$ksi $)$ and $f_y=420$MPa. Use $200mm$ slab thickness. Use $I_b=2I_g$ for T$-$beam and $I_b=1\mathrm{.}5I_g$ for L$-$beam. To calculate the constant $"C",$ divide the beam cross$-$section such that you cut between slab and beam interface.

$1-$ Check if provided slab thickness satisfy the minimum thickness requirement of the code

$2-$ Design for the moment in beam, column strip, and middle strip of the considered corner slab in both directions.