For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 39 in., b2 = 15 in., d1 = 8 in., d2 = 19 in., and that there are three No. 6 longitudinal tension bars and No. 3 stirrups at 12 in. o.c. The stirrup hooks are 90°.

A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 in. It is reinforced with 2 No. 5 bars on the compression side and 5 No. 8 bars on the tension side. The concrete strength is 2,500 psi, and the yield strength of the reinforcement is 60,000 psi. For the results given below, determine the strength Mn for this beam.a = 6.767 in. (depth of concrete stress block)Cc = 200.0 kips (compressive force in concrete)Cs = 37.0 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)

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 = 21 in., b2 = 11 in., d = 27 in., h1 = 6 in., h2 = 17 in., h3 = 9 in., and t = 6 in. There are four No. 8 longitudinal tension bars and No. 4 stirrups at 10 in. o.c.

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°.

If a beam is supported by a girder of essentially the same depth, the compression fans that form in the supported beam tend to push the bottom off the supporting beam.

A 123-mm-long beam supports a load of P = 32 N at midspan. The cross section is rectangular with width b = 25 mm and height h = 45 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

A 123-mm-long beam supports a load of P = 32 N at midspan. The cross section is rectangular with width b = 25 mm and height h = 45 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 11-ft span. What is the magnitude of the maximum shear force in the beam?

According to ACI 318, the strength-reduction factor, φ, for shear and torsion is _____.

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 = 20 in., b2 = 13 in., d = 21 in., h1 = 4 in., h2 = 12 in., h3 = 10 in., and t = 8 in. There are four No. 6 longitudinal tension bars and No. 3 stirrups at 8 in. o.c.