The shown cantilever beam "ABC" is fixed at

$"A"$ and subjected to two concentrated

ultimate loads of $200kN$ and $100kN$ acting at

points $B,$ and $C,$ respectively. The beam has a

rectangular cross section with width $=400mm$

and height $=600mm$ and reinforced with $4T$

$32$ top and $4T16$ bottom at section $"$A$".$

a$)$ Taking $F{c}^{\text{'}}=28$MPa and assuming that

$x=0\mathrm{.}6$ meters, design the transverse

beam reinforcement at section $"$A$"$

required for shear and torsion.

b$)$ Determine the maximum value of $"x"$

such not exceed the section capacity to

carry shear and torsion combined.

Assume longitudinal reinforcement is

sufficient.