A beam has dimensions of b = 20 in., h = 12 in., and d = 9.5 in. and is reinforced with 4 No. 9 bars. The concrete strength is 3,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.371 in., does the reinforcement yield?

A beam has dimensions of b = 16 in., h = 24 in., and d = 21.5 in. and is reinforced with 2 No. 6 bars. The concrete strength is 9,100 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A classmate has suggested a beam design that has dimensions of b = 12 in., h = 26 in., and d = 23.5 in. and is reinforced with 5 No. 10 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?

A beam has dimensions of b = 14 in., h = 26 in., and d = 23.5 in. and is reinforced with 3 No. 5 bars. The concrete strength is 4,000 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

How do shearing stresses on horizontal and vertical planes through an element compare?

_______ must occur before a shear failure can occur in most concrete beams.

A classmate has suggested a beam design that has dimensions of b = 16 in., h = 26 in., and d = 23.5 in. and is reinforced with 5 No. 8 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?

Simply supported beams loaded with only gravity loads develop negative bending moments throughout the span.

To limit the width of potential shrinkage cracks parallel to the one-way design strips, shrinkage and temperature reinforcement is placed perpendicular to the primary flexural reinforcement.

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 5 No. 8 bars on the tension side. The concrete strength is 3,400 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.026 in., determine the strain in the compression reinforcement, ε’s.