Determine β1 given that f’c = 9,400 psi.

According to the theory of flexure for reinforced concrete, the strain in the reinforcement is equal to the strain in the concrete at the same level.

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 3,100 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.547 in., determine the strain in the compression reinforcement, ε’s.

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 6,100 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

A beam has dimensions of b = 16 in., h = 26 in., and d = 23.5 in. and is reinforced with 4 No. 8 bars. The concrete strength is 8,200 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the tensile force T in the reinforcement.

One of the primary reasons for using compression reinforcement is to increase the ductility of a given beam section.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 7 bars at a depth of 18 in. The top row contains 5 No. 7 bars at a depth of 13 in. Determine the effective (centroidal) depth, d, of the steel.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 7 bars at a depth of 18 in. The top row contains 5 No. 7 bars at a depth of 13 in. Determine the effective (centroidal) depth, d, of the steel.

A simply supported beam with dimensions of b = 10 in., h = 28 in., d = 25.5 in., and L = 23 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 1.1 kips/ft. The concrete is normal-weight concrete. Determine the moment due to the factored loads, Mu.      

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 4 No. 8 bars on the tension side. The concrete strength is 2,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.268 in., determine the strain in the compression reinforcement, ε’s.