Must be handwritten

Consider the cantilever beam extending from the column indicated and supporting the

concentrated load shown. Calculate the required development length $l_d$ of the top

reinforcements. Use equation $6\mathrm{.}5$ in the textbook $(186$p$).$ Also discuss if the calculated

development can be accommodated inside the ${20}^{\text{'}\text{'}}{20}^{?}$ column.

$l_d=(\frac{3f_y{}_t{}_e{}_s{}_g}{40\sqrt[\phantom{2}]{f_c^{\text{'}}}(\frac{c_b+K_{tr}}{d_b})})d_b$

Given conditions:

Normalweight concrete, $f_y=60k,f_c^{\text{'}}=5k$

Uncoated bars used $($no hook, no heads$)$