A beam has dimensions of b = 16 in., h = 30 in., and d = 27.5 in. and is reinforced with 3 No. 5 bars. The concrete strength is 9,100 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 is singly reinforced with the reinforcement in two rows. The bottom row contains 10 No. 8 bars at a depth of 20 in. The top row contains 7 No. 5 bars at a depth of 16 in. Determine the effective (centroidal) depth, d, of the steel.

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 2,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 7.179 in., determine the force in the compression reinforcement, Cs.

A classmate has suggested a beam design that has dimensions of b = 16 in., h = 24 in., and d = 21.5 in. and is reinforced with 4 No. 14 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?

Determine β1 given that f’c = 5,500 psi.

The symbol Mu represents the _______.

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

The largest column loads are due to factored dead load and live load applied to all spans.

A beam has dimensions of b = 14 in., h = 26 in., and d = 23.5 in. and is reinforced with 5 No. 7 bars. The concrete strength is 4,600 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 4.010088 in., determine the strain in the reinforcement.

A simply supported beam with dimensions of b = 16 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 1.7 kips/ft and a uniform service (unfactored) live load of 0.9 kips/ft. The concrete is normal-weight concrete. Determine the moment due to the factored loads, Mu.