A concrete floor system is supported by T-beam spaced at 9 ft on centers. The T-beam has the dimensions $b_w=11"$ , $h_f=4.5"$ and d =20" . The beam needs to support a live load of 200 psf on a simple span of 22 ft. Find out the required tensile steel area. Given $f_c\text{'}$ = 4000 psi, $f_y$ = 50000 psi.