Bars of longitudinal reinforcement often do not have to extend the full length of a beam.

A beam has dimensions of b = 18 in., h = 28 in., and d = 25.5 in. and is reinforced with 2 No. 7 bars. The concrete strength is 10,000 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

Bars of longitudinal reinforcement often do not have to extend the full length of a beam.

Compute φVn for the cross section shown. Assume f’c = 7,500 psi, fyt = 40,000 psi, b = 12 in., d = 25 in., and that there are four No. 8 longitudinal tension bars and No. 3 stirrups at 9 in. o.c.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 9 No. 5 bars at a depth of 14 in. The top row contains 6 No. 8 bars at a depth of 8 in. Determine the effective (centroidal) depth, d, of the steel.

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 3 No. 5 bars. The concrete strength is 4,600 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

A classmate has suggested a beam design that has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 5 No. 9 bars. Assuming a cover of 1.5 in. and a stirrup diameter of 0.5 in., does the reinforcement fit within a single row as suggested?

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?

A beam has dimensions of b = 20 in., h = 12 in., and d = 9.5 in. and is reinforced with 4 No. 10 bars. The concrete strength is 4,400 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.909 in., does the reinforcement yield?

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 4 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 = 4.481 in., determine the strain in the compression reinforcement, ε’s.