The compressive and tensile forces act through the bottom edge of their respective stress blocks.

A beam has dimensions of b = 14 in., h = 24 in., and d = 21.5 in. and is reinforced with 3 No. 7 bars. The concrete strength is 2,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 3.81329 in., determine the strain in the reinforcement.

A simply supported beam with dimensions of b = 18 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 0.8 kips/ft. The concrete is normal-weight concrete. Determine the moment due to the factored loads, Mu.      

Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child’s college education. They decide to make deposits into an educational savings account on each of their daughter’s birthdays, starting with her first birthday. Assume that the educational savings account will return a constant 9%. The parents deposit $2,400 on their daughter’s first birthday and plan to increase the size of their deposits by 7% each year. Assuming that the parents have already made the deposit for their daughter’s 18th birthday, then the amount available for the daughter’s college expenses on her 18th birthday is closest to ________.

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A beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 3 No. 8 bars. The concrete strength is 7,300 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the tensile force T in the reinforcement.

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A beam has dimensions of b = 14 in., h = 24 in., and d = 21.5 in. and is reinforced with 5 No. 7 bars. The concrete strength is 5,500 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

If C represents the internal compressive force and T represents the internal tensile force in a singly-reinforced concrete beam that has no applied axial load, then _______.