Exercise $4.$ A simply supported beam $5\mathrm{.}4$ m long receives a uniform dead load of $6\mathrm{.}120$ kg$/$m and a uniform live load of $2\mathrm{.}245$ kg$/$m$.$ The beam has a section b x d $=30$ x $60$ cm and is reinforced by flexure with $6$ #$9$ rods, in two layers. Check the beam for flexure and design the necessary shear reinforcement, with #$3$ or #$4$ rod. Use

J: $=250$kg$/$cm v f$,=4200$kg$/$cm$.$ Answer in kg$/$m$2$