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.

Bars of longitudinal reinforcement must extend the full beam length.

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 5 No. 8 bars. The concrete strength is 7,300 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 7 bars at a depth of 24 in. The top row contains 6 No. 8 bars at a depth of 20.5 in. Determine the effective (centroidal) depth, d, of the steel.

In typical U.S. practice, beam depths are rounded to a whole inch unit and often to an even number of inches.