The rectangular beam shown below supports a factored column load of $1450$ kips. The beam and columns are $28$ inches wide. Use $f_c^{\text{'}}=4,000$ psi, $f_y=60,000$ psi, and $d=9ft.$ Assume tension reinforcement is provided using a single layer of five #$14$ rebars. The concrete cover is $2".$

$($a$)$ Draw a truss model neglecting the effects of stirrups and dead load of the beam.

$($b$)$ Size the nodes and the struts using ACl$318-19.$ You can assume that there is no bearing plate at the beam$-$column joints. Modify the truss model if necessary.

$($c$)$ Draw a cross section of the beam with reinforcement detailing.

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