Problem $2(30$ points$)$: Straight Bar Anchorage undar Positive Moment. The figure ahows a single reinforced concrete I section. Determine the development length of the longitudinal reinforcement. Will the straight bars have enough space to be developed? Does the moment capacity gradient exceed the moment demand gradient?

Deaign Code: ACI $318$: $1419$ Bwilding Code Requirgments for Structural Concrete

Design Data:

See fizure drawing

Single Reinforced Beam

Steel reinforcement: Galvanized ASTM Gr$.60.f_4=60,000$pai

Normal weight concrete, $f_c=4,000$ psi

Stirrup Reinforcement: double leg No$.3(2)6$ in$.$ spacing

Longitudinal Reinforcement: $4$ No $9$ bars

Bottom Cover $($ OC $)$: $2\mathrm{.}5$ in

Side Cover $($ OC C$)$: $2\mathrm{.}5$ in

Longirudinal Bar Spacing $($cic$)2$ in$.$

Service Dead Load, wo $=0\mathrm{.}9ki\frac{p}{f}t$

Service Live Load, $w_2=1\mathrm{.}5ki\frac{p}{f}t$

Longitudinal reinforcement extends $6$ in past support. $l_2=6$ in$.$

Beam Moment Capacity, Mn $=3964$ kip$-$in

Assumptions:

Neglect beam self$-$weight

Stirrup spacing satisfies ACI $318-14/19$ code minimum requirements

No Bar Cutoffs Longirudinal reinforcement is continuous across entive span.

Development Length of a Straight Bar: Use Full Equation $($ACI Equation $25\mathrm{.}4\mathrm{.}2\mathrm{.}3$s or Equation $8-8$ in book$).$