A beam has dimensions of b = 16 in., h = 26 in., and d = 23.5 in. and is reinforced with 5 No. 8 bars. The concrete strength is 4,000 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 5.125433 in., determine the strain in the reinforcement.

Determine As,min for the following beam given that f’c = 4,000 psi and fy = 60,000 psi.

A beam has dimensions of b = 20 in., h = 10 in., and d = 7.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 4,700 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 2.211 in., does the reinforcement yield?

A simply-supported beam has a 4 kip/ft uniformly-distributed load over the entire 8-ft span. What is the magnitude of the maximum shear force in the beam?

A concrete floor system with a ratio of the longer to the shorter span length that is less than or equal to 2 is usually considered a one-way system.

A simply supported beam with dimensions of b = 16 in., h = 26 in., d = 23.5 in., and L = 17 ft supports a uniform service (unfactored) dead load consisting of its own weight plus 1.6 kips/ft and a uniform service (unfactored) live load of 0.8 kips/ft. The concrete is normal-weight concrete. Determine the moment due to the factored loads, Mu.      

A beam has dimensions of b = 18 in., h = 12 in., and d = 9.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 5,000 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 2.353 in., does the reinforcement yield?

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.