Determine β1 given that f’c = 8,200 psi.

One of the three basic assumptions in the theory of flexure for reinforce concrete is that the strain in the reinforcement is greater than the strain in the concrete at the same level.

A beam has dimensions of b = 20 in., h = 10 in., and d = 7.5 in. and is reinforced with 4 No. 6 bars. The concrete strength is 2,000 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 3.654 in., does the reinforcement yield?

A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 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.

A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 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 3,100 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 = 4.424 in. (depth of concrete stress block)Cc = 161.6 kips (compressive force in concrete)Cs = 28.0 kips (compressive force in steel)T = 189.6 kips (tensile force in steel)

In a reinforced concrete beam, the neutral axis is at the geometric centroid of the cross section.

A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 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 3,400 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.026 in., determine the force in the compression reinforcement, Cs.

Because a slab is thinner than the beams supporting it, the concrete in the slab shrinks more slowly than the concrete in the beams.

A simply supported beam with dimensions of b = 14 in., h = 22 in., d = 19.5 in., and L = 16 ft supports a uniform service (unfactored) dead load consisting of its own weight plus 1.1 kips/ft and a uniform service (unfactored) live load of 1.3 kips/ft. The concrete is normal-weight concrete. Determine the moment due to the factored loads, Mu.      

Flexural stiffness is inversely related to span length. Therefore, a lower percentage of the load applied to floor panels is carried in the long span direction as compared to the short span direction.