Simply supported beams loaded with only gravity loads develop tension cracks along the bottom of the beam.

The Mueller-Breslau principle is not helpful for structures that will be analyzed via computer software packages.

In a singly-reinforced concrete beam, the centroid of the compression zone is located a distance _______ from the fiber of maximum compressive strain.

A classmate has suggested a beam design that has dimensions of b = 12 in., h = 22 in., and d = 19.5 in. and is reinforced with 4 No. 14 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?

Architects are legally limited to design, and engineers are legally limited to analysis.

A concrete cover of at least one bar diameter is required to sufficiently bond the reinforcement to the concrete.

Concrete forms must be strong enough to support the wet concrete plus construction loads used in the casting and finishing process.

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?

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b = 15 in., d = 29 in., and that there are four No. 6 longitudinal tension bars and No. 5 stirrups at 8 in. o.c. The stirrup hooks are 135°.

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 9,700 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 0.970285 in. and the strain in the reinforcement is εs = 0.040209, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.