Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 30 in., b2 = 15 in., d1 = 4 in., and d2 = 45 in. There are three No. 6 longitudinal tension bars and No. 3 stirrups at 12 in. o.c.

A 123-mm-long beam supports a load of P = 40 N at midspan. The cross section is rectangular with width b = 29 mm and height h = 60 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

A continuous beam’s flexural reinforcement must extend at least _____ from the point where it is no longer needed to resist tension. Assume f’c = 4,000 psi, fyt = 40,000 psi, b1 = 29 in., b2 = 14 in., d1 = 4 in., d2 = 15 in., and that there are three No. 9 longitudinal tension bars and No. 3 stirrups at 11 in. o.c. The stirrup hooks are 90°.

A continuous beam’s flexural reinforcement must extend at least _____ from the point where it is no longer needed to resist tension. Assume f’c = 4,000 psi, fyt = 40,000 psi, b = 13 in., d = 17 in., and that there are four No. 7 longitudinal tension bars and No. 3 stirrups at 7 in. o.c. The stirrup hooks are 135°.

A simply-supported beam has a 2 kip/ft uniformly-distributed load over the entire 12-ft span. What is the magnitude of the maximum shear force in the beam?

The strength-reduction factor, φ, for shear and torsion is 0.90.

The strength-reduction factor, φ, for shear and torsion is 0.65.

If φVc = 24 kip and Vu = 33 kip, are stirrups required?

Compute φVn for the cross section shown. Assume f’c = 3,000 psi, fyt = 40,000 psi, d = 29 in., w = 19.5 in., t = 6 in., and that there are four No. 8 longitudinal tension bars and No. 5 stirrups at 6 in. o.c.

The strength reduction factor is greater for shear than for flexure because flexure-failure loads are less variable than shear-failure loads.