5. Shear Design

Figure 5

Figure 5 – Shear Diagram for Simply Supported Beam

Shear strength provided by concrete

ACI 318-14 (Eq. 22.5.5.1)

Since Vu > ϕVc/2, shear reinforcement is required.

Try # 3, Grade 60 two-leg stirrups (Av = 2 × 0.11 = 0.22 in.2).

The nominal shear strength required to be provided by shear reinforcement is

If Vs is greater than , then the cross-section has to be revised as ACI 318-14 limits the shear capacity to be provided by stirrups to .

ACI 318-14 (22.5.1.2)

ACI 318-14 (22.5.10.5.3)

ACI 318-14 (10.6.2.2)

Check whether the required spacing based on the shear demand meets the spacing limits for shear reinforcement per ACI 318-14 (9.7.6.2.2).

Therefore, maximum stirrup spacing shall be the smallest of d/2 and 24 in.

ACI 318-14 (Table 9.7.6.2.2)

This value governs over the required stirrup spacing of 22.67 in which was based on the demand.

Therefore, smax value is governed by the spacing limit per ACI 318-14 (9.7.6.2.2), and is equal to 8.78 in.

Use # 3 @ 8.3 in. stirrups

ACI 318-14 (22.5.1.1 and 22.5.10.5.3)

o.k.

Compute where  is equal to , and the stirrups can be stopped

Use 16 - # 3 @ 8.30 in. o.c., Place 1st stirrup 3 in. from the face of the column.