DO NOT USE AI ANSWERING TOOLS IF POSSIBLE REFERENCE THE FE HANDBOOK

Problem $1$

$-$ Concrete beam at perimeter of a floor.

$-4000$ psi NWC

$-$ Grade $60$ reinforcement

$-$ Longitudinal Reinforcement: $8-\backslash$#$9$ in one layer, top and bottom

$-\backslash$#$3$ stirrups

$-$ Typical interior exposure.

$-\backslash ($ V$\_\{$u$\}=145\backslash$mathrm$\{$kips$\}\backslash )$

A$.$ Determine the strength due to concrete. It is a safe bet that $\backslash ($ A$\_\{$v$\}\backslash$geq A$\_\{$v$,\backslash$text $\{$ min $\}\}\backslash ).$

B$.$ Determine the maximum spacing of stirrups, rounded to an integer number of inches, that can be used along the member.

C$.$ Determine the maximum spacing of stirrups that can be used transverse to the member. Use this to determine whether the stirrups need to have two legs, four legs, etc. Sketch the section, including the stirrups.

D$.$ Try the stirrups at the maximum spacing from Part B$.$ Determine the strength due to the stirrups.

E$.$ Determine the shear design strength and evaluate the shear strength. If $\backslash ($ V$\_\{$u$\}>\backslash$varphi V$\_\{$n$\}\backslash )$ then identify a closer spacing of stirrups that would work.