A beam has dimensions of b = 18 in., h = 22 in., and d = 19….

A beam has dimensions of b = 18 in., h = 22 in., and d = 19.5 in. and is reinforced with 3 No. 8 bars. The concrete strength is 4,600 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 2.02046 in. and the strain in the reinforcement is εs = 0.020742, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.

A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in…

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.

A simply supported beam with dimensions of b = 10 in., h = 2…

A simply supported beam with dimensions of b = 10 in., h = 24 in., d = 21.5 in., and L = 20 ft supports a uniform service (unfactored) dead load consisting of its own weight plus 1.2 kips/ft and a uniform service (unfactored) live load of 1.0 kips/ft. The concrete is normal-weight concrete. Determine the moment due to the factored loads, Mu.      

You are considering a beam design that has dimensions of b =…

You are considering a beam design that has dimensions of b = 14 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 6,700 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?