A beam has dimensions of b = 14 in., h = 30 in., and d = 27.5 in. and is reinforced with 5 No. 5 bars. The concrete strength is 4,300 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 2.176612 in., determine the strain in the reinforcement.

You are considering a beam design that has dimensions of b = 16 in., h = 24 in., and d = 21.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 5,200 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?

A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in., and d = 27.5 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 3,700 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 5.588 in., determine the strain in the compression reinforcement, ε’s.

The symbol φ represents the _______.

The addition of compression reinforcement to an existing beam section does not increase the ductility of the section.

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b = 15 in., d = 29 in., and that there are four No. 6 longitudinal tension bars and No. 5 stirrups at 8 in. o.c. The stirrup hooks are 135°.

A beam has dimensions of b = 14 in., h = 26 in., d’ = 2.5 in., and d = 23.5 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 4,000 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 = 4.433 in. (depth of concrete stress block)Cc = 208.9 kips (compressive force in concrete)Cs = 28.1 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 3 No. 6 bars. The concrete strength is 7,900 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the depth to the neutral axis, c.

Cantilever beams loaded with only gravity loads require longitudinal reinforcement along the bottom of the beam.

A beam has dimensions of b = 18 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 8,200 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 1.76581 in., determine the strain in the reinforcement.