The textbook author recommends using As’ ≤ 0.5As in doubly reinforced beam sections.

A beam has dimensions of b = 20 in., h = 12 in., and d = 9.5 in. and is reinforced with 4 No. 7 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 = 2.622 in., does the reinforcement yield?

A continuous beam’s flexural reinforcement must extend at least _____ from the point where it is no longer needed to resist tension. Assume f’c = 4,000 psi, fyt = 40,000 psi, d = 24 in., w = 16.5 in., and t = 5 in. There are five No. 6 longitudinal tension bars and No. 5 stirrups at 12 in. o.c.

A classmate has suggested a beam design that has dimensions of b = 12 in., h = 28 in., and d = 25.5 in. and is reinforced with 5 No. 7 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?

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b = 12 in., d = 23 in., and that there are four No. 6 longitudinal tension bars and No. 5 stirrups at 12 in. o.c. The stirrup hooks are 135°.

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 4 No. 8 bars on the tension side. The concrete strength is 2,800 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 = 4.828 in. (depth of concrete stress block)Cc = 159.4 kips (compressive force in concrete)Cs = 30.2 kips (compressive force in steel)T = 189.6 kips (tensile force in steel)

If φVc = 13 kip and Vu = 54 kip, are stirrups required?

señores y señoras: a Josefina Fernández Dávila para el premio de mejor maestra del año. La señora Fernández es una maestra ejemplar y merece este premio y muchos más. Gracias por su . cordiales, Rosalía Pérez Guzmán

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 simply-supported beam has a 1 kip/ft uniformly-distributed load over the entire 10-ft span. What is the magnitude of the maximum shear force in the beam?