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, d = 28 in., w = 18.5 in., and t = 6 in. There are five No. 6 longitudinal tension bars and No. 4 stirrups at 11 in. o.c.

A beam has dimensions of b = 18 in., h = 30 in., and d = 27.5 in. and is reinforced with 5 No. 7 bars. The concrete strength is 7,300 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 2.352706 in., determine the strain in the reinforcement.

When faced with severe architectural restrictions on the dimensions of a beam, a designer may be forced to use a singly reinforced section.

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?