$6\mathrm{.}10.$ The beam shown in Fig. P$6\mathrm{.}10$ is simply supported with a clear span of $26$ ft and is to carry a distributed dead load of $1\mathrm{.}05$kip$\frac{s}{f}t$ including its own weight and live load of $1\mathrm{.}62$kip$\frac{s}{f}t,$ unfactored, in service. The reinforcement consists of five No$.10($No$.32)$ bars at a $16$ in$.$ effective depth, two of which are to be discontinued where no longer needed. Material strengths specified are $f_y=60,000$ psi and $f_c^{\text{'}}=5000$ psi. No$.3($No$.10)$ stirrups are used with a cover of $1\mathrm{.}5$ in $.$ at spacing less than ACI Code maximum.

$($a$)$ Calculate the point where two bars can be discontinued.

$($b$)$ Check to be sure that adequate embedded length is provided for continued and discontinued bars.

$($c$)$ Check special requirements at the support, where $M_u=0.$

$($d$)$ If No$.3($No$.10)$ bars are used for transverse reinforcement, specify special reinforcing details in the vicinity where the No$.10($No$.32)$ bar is cut off.

$($e$)$ Comment on the practical aspects of the proposed design. Would you recommend cutting off the steel as suggested? Could three bars be discontinued rather than two?

F CONCRETE STRUCTURES Chapter $6$