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 # 4, Grade 60 two-leg stirrups (Av = 2 × 0.20 = 0.40 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)

(Minimum transverse reinforcement governs)

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 30 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 10.72 in.

Use 10 - # 4 @ 10.444 in. stirrups (it is more practical to round the provided spacing to 10 in., the provided spacing is kept as 10.444 in. for comparison reasons with spBeam results).

ACI 318-14 (22.5.1.1 and 22.5.10.5.3)

o.k.

Use 10 - # 4 @ 10.444 in. o.c., Place 1st stirrup 3 in. from the face of the column.