A simply supported deep beam has a clear span equal to $4m,$ a total height equal to $2m,$

and a width of $0\mathrm{.}5m.$ The beam supports an $0\mathrm{.}5m-$square column at midspan carrying a

dead load equal to $1350kN,$ and a live load equal to $1050kN.$ Design the beam using

the strut$-$and$-$tie model, using $f^{\text{'}}c$ equal to $28$MPa and $fy$ equal to $420$MPa.