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A beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 4 No. 5 bars. The concrete strength is 9,400 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 0.89535 in., determine the strain in the reinforcement.

A beam has dimensions of b = 14 in., h = 26 in., and d = 23.5 in. and is reinforced with 5 No. 8 bars. The concrete strength is 8,500 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A beam has dimensions of b = 16 in., h = 30 in., and d = 27.5 in. and is reinforced with 4 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 = 1.834365 in. and the strain in the reinforcement is εs = 0.027133, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.

A simply supported beam with dimensions of b = 16 in., h = 22 in., d = 19.5 in., and L = 18 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 1.4 kips/ft. The concrete is normal-weight concrete. Determine the moment due to the factored loads, Mu.      

A beam has dimensions of b = 18 in., h = 28 in., and d = 25.5 in. and is reinforced with 5 No. 6 bars. The concrete strength is 4,000 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.

This individual established the science of biological classification (taxonomy) and developed the use of binomial nomenclature (scientific naming system).  

In an over-reinforced beam loaded in bending beyond its elastic range, the tension zone steel will yield before the concrete in the compression zone reaches its max useable strain.