You are considering a beam design that has dimensions of b = 16 in., h = 28 in., and d = 25.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 8,800 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?

The shear failure of a slender beam without stirrups is slow and predictable.

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.

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 25 in., b2 = 15 in., d1 = 4 in., d2 = 25 in., and that there are three No. 8 longitudinal tension bars and No. 5 stirrups at 12 in. o.c. The stirrup hooks are 90°.

Axial compressive forces tend to _______ the inclined cracking load, while axial tensile forces tend to _______ it.

According to the USPSTF recommendations which of the following is NOT included in lifestyle changes to prevent progression of osteopenia to osteoporosis?

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 4 No. 8 bars on the tension side. The concrete strength is 3,100 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 5.205 in., determine the strain in the compression reinforcement, ε’s.

Compute φVn for the cross section shown. Assume f’c = 4,500 psi, fyt = 60,000 psi, b1 = 24 in., b2 = 13 in., d = 23 in., h1 = 6 in., h2 = 14 in., h3 = 8 in., t = 8 in., and that there are six No. 6 longitudinal tension bars and No. 5 stirrups at 11 in. o.c.

Compute φVn for the cross section shown. Assume f’c = 4,000 psi, fyt = 60,000 psi, b = 10 in., d = 26 in., and that there are four No. 7 longitudinal tension bars and No. 4 stirrups at 8 in. o.c.

; g(x) = 8x – 7Find f(g(x)). (5 points)