A beam has dimensions of b = 16 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 9,400 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 1.126408 in. and the strain in the reinforcement is εs = 0.041145, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.
Read DetailsA beam has dimensions of b = 18 in., h = 12 in., and d = 9.5 in. and is reinforced with 4 No. 11 bars. The concrete strength is 4,700 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.388 in., does the reinforcement yield?
Read DetailsA beam has dimensions of b = 14 in., h = 26 in., d’ = 2.5 in., and d = 23.5 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. For the results given below, determine the strength Mn for this beam.a = 4.75 in. (depth of concrete stress block)Cc = 207.2 kips (compressive force in concrete)Cs = 29.8 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)
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