Problem $1$: Development Length $($Ld$)-20$ Points.

For the beam section shown in Figure $1.$ Compute development length for primary reinforcement rebar by using two approaches$-$

ACI Equations. $(5$ Points$)$

ACI Basic equation approach. $(10$ Points$)$

Consider the max. allowable spacing at the connection joint is $20".$ So$,$ if your development length is $>20"$ then determine required hook size. Provide hook detail, and angle of bending. $(5$ Points$)$

Given Concrete is normal weight Concrete which has $f{c}^{\text{'}}=4000$ psi, $f_y=60,000$ psi. uncoated rebars are used for stirrups and primary reinforcement. Use #$3$ rebar for stirrups. Stirrups are spaced at $6"$ spacing. Dimension: $L=12ft,b=16",d={23\mathrm{.}5}^{\text{'}},h={26}^{\text{'}},A_s=3$#$9,$ Concrete cover $={2\mathrm{.}5}^{\text{'}}"$

Figure $1$: $\frac{C}{S}$ of Beam