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For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b = 16 in., d = 25 in., and that there are four No. 9 longitudinal tension bars and No. 3 stirrups at 12 in. o.c. The stirrup hooks are 135°.

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b = 12 in. and d = 29 in. There are four No. 7 longitudinal tension bars and No. 5 stirrups at 7 in. o.c.

At a point subjected to plane stress, the stresses are σx = 25 ksi, σy = 5 ksi, and τxy = –20 ksi. Determine the angle θp corresponding to the orientation of the principal planes at the point.

If φVc = 30 kip and Vu = 65 kip, are stirrups required?

A 115-mm-long beam supports a load of P = 36 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.

Assuming Vs does not exceed 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let d = 33 in., w = 25.5 in., and t = 5 in. There are five No. 7 longitudinal tension bars and No. 3 stirrups at 6 in. o.c.

Determine the bar-spacing factor, cb, for a simply supported rectangular beam with b = 16 in. and No. 3 stirrups. This beam has five No. 7 bars as longitudinal reinforcement. The clear cover is 1.8 in.

Use ACI 318-14 Table 25.4.2.2 to determine the development length for the straight tension bars (no hooks) in a rectangular beam with b = 16 in. and d = 21 in., four galvanized No. 8 Grade 60 bars placed in the bottom of the beam, and No. 3 Grade 60 stirrups located every 12 in. along the span. Assume 7,000-psi normal-weight concrete and a clear cover of 1.5 in.

A 115-mm-long beam supports a load of P = 42 N at midspan. The cross section is rectangular with width b = 28 mm and height h = 50 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

A simply-supported beam has a 3 kip/ft uniformly-distributed load over the left half of its 13-ft span. What is the magnitude of the maximum shear force in the beam?