For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b = 13 in., d = 22 in., and that there are four No. 6 longitudinal tension bars and No. 3 stirrups at 7 in. o.c. The stirrup hooks are 135°.

A simply-supported beam has a 1 kip/ft uniformly-distributed load over the entire 12-ft span. What is the magnitude of the maximum shear force in the beam?

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 20 in., b2 = 10 in., d1 = 6 in., and d2 = 17 in. There are three No. 8 longitudinal tension bars and No. 4 stirrups at 6 in. o.c.

Compute φVn for the cross section shown. Assume f’c = 3,500 psi, fyt = 40,000 psi, b1 = 26 in., b2 = 12 in., d1 = 6 in., d2 = 16 in., and that there are three No. 9 longitudinal tension bars and No. 5 stirrups at 8 in. o.c.

Compute φVn for the cross section shown. Assume f’c = 4,500 psi, fyt = 40,000 psi, d = 30 in., w = 24.5 in., t = 4 in., and that there are four No. 7 longitudinal tension bars and No. 4 stirrups at 11 in. o.c.

A simply-supported beam has a 3 kip/ft uniformly-distributed load over the entire 10-ft span. What is the magnitude of the maximum shear force in the beam?

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 30 in., b2 = 16 in., d1 = 6 in., d2 = 27 in., and that there are three No. 7 longitudinal tension bars and No. 4 stirrups at 10 in. o.c. The stirrup hooks are 90°.

A rectangular beam has a cross section of b = 18 in., h = 22 in., and d = 19.5 in. It is reinforced with five No. 7 Grade 60 bars. The concrete strength is 6,400 psi (normal weight). The beam has Grade 60 No. 3 stirrups satisfying ACI 318-14 Sections 9.7.6.2.2 and 9.6.3.3. Determine the strength φMn for this beam.

If φVc = 34 kip and Vu = 11 kip, are stirrups required?

If φVc = 23 kip and Vu = 63 kip, are stirrups required?