# 9.7.3 *Flexural Reinforcement in Nonprestressed Beams*

**and**

*d***12**, except at supports of simply-supported spans and at free ends of cantilevers.

*d*_{b}**beyond the point where bent or terminated tension reinforcement is no longer required to resist flexure.**

*ℓ*_{d}(a) ** V_{u} ≤ (2/3)ϕV_{n}** at the cutoff point

(b) For No. 11 bars and smaller, continuing reinforcement provides double the area required for flexure at the cutoff point and *V _{u}* ≤ (3/4)ϕ

*V*

_{n}(c) Stirrup or hoop area in excess of that required for shear and torsion is provided along each terminated bar or wire over a distance **3/4 d** from the termination point. Excess stirrup or hoop area shall be at least

**60**. Spacing

*b*/_{w}s*f*_{yt}*s*shall not exceed

*d*/(8β_{b})**at the face of the support.**

*f*_{y}**for positive moment tension reinforcement shall be limited such that**

*d*_{b}**for that reinforcement satisfies (a) or (b). If reinforcement terminates beyond the centerline of supports by a standard hook or a mechanical anchorage at least equivalent to a standard hook, (a) or (b) need not be satisfied.**

*ℓ*_{d}(a) ** ℓ_{d} ≤ (1.3M_{n}/V_{u} + ℓ_{a})** if end of reinforcement is confined by a compressive reaction

(b) ** ℓ_{d} ≤ (M_{n}/V_{u} + ℓ_{a})** if end of reinforcement is not confined by a compressive reaction

** M_{n}** is calculated assuming all reinforcement at the section is stressed to

**, and**

*f*_{y}**is calculated at the section. At a support,**

*V*_{u}**is the embedment length beyond the center of the support. At a point of inflection,**

*ℓ*_{a}**is the embedment length beyond the point of inflection limited to the greater of**

*ℓ*_{a}**and**

*d***12**.

*d*_{b}**,**

*d***12**, and

*d*_{b}**.**

*ℓ*/16_{n}### Related Code Sections

*Flexural Reinforcement in Nonprestressed Beams*

*reinforcement*at each section of the

*beam*shall be developed on each side of that section ...

*Flexural Reinforcement in Nonprestressed Beams*

*Minimum Flexural Reinforcement in Nonprestressed Beams*

*flexural*

*reinforcement*, A s,min , shall be provided at every section where tension

*reinforcement*is required by analysis ...

*Minimum Flexural Reinforcement in Nonprestressed Beams*

*Flexural*tension

*reinforcement*shall not be terminated in a tension zone unless (a), (b), or (c) is satisfied: (a) V u ≤ (2/3)ϕ V n ...

*Flexural Reinforcement in Nonprestressed Beams*> 9.7.3.5

*beams*, or where tension

*reinforcement*is not parallel to the compression face ...

*Flexural Reinforcement in Nonprestressed Beams*> 9.7.3.6

*reinforcement*by bending across the web to be anchored or made continuous with

*reinforcement*on the opposite face of

*beam*...

*Flexural Reinforcement in Nonprestressed Beams*> 9.7.3.7