Determine β1 given that f’c = 7,900 psi.

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 2 No. 7 bars. The concrete strength is 3,100 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 1.518027 in. and the strain in the reinforcement is εs = 0.033116, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.

A beam has dimensions of b = 14 in., h = 22 in., and d = 19.5 in. and is reinforced with 3 No. 8 bars. The concrete strength is 7,600 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 1.572313 in. and the strain in the reinforcement is εs = 0.021928, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.

Determine As,min for the following beam given that f’c = 2,500 psi and fy = 60,000 psi.

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 4 No. 8 bars. The concrete strength is 4,900 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.

A beam has dimensions of b = 16 in., h = 28 in., and d = 25.5 in. and is reinforced with 5 No. 8 bars. The concrete strength is 5,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 4.088322 in., determine the strain in the reinforcement.

A beam has dimensions of b = 16 in., h = 28 in., and d = 25.5 in. and is reinforced with 3 No. 7 bars. The concrete strength is 8,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 1.437317 in., determine the strain in the reinforcement.

A beam has dimensions of b = 18 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 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 = 3.644752 in., determine the strain in the reinforcement.

A beam has dimensions of b = 16 in., h = 26 in., and d = 23.5 in. and is reinforced with 2 No. 7 bars. The concrete strength is 8,500 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

Determine As,min for the following beam given that f’c = 6,750 psi and fy = 60,000 psi.