For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 40 in., b2 = 16 in., d1 = 8 in., d2 = 29 in., and that there are three No. 7 longitudinal tension bars and No. 3 stirrups at 7 in. o.c. The stirrup hooks are 90°.

Adjacent span loading is the common loading pattern for determining maximum negative moments at supports due to dead load.

Compute φVn for the cross section shown. Assume f’c = 3,000 psi, fyt = 40,000 psi, b = 14 in., d = 25 in., and that there are four No. 8 longitudinal tension bars and No. 3 stirrups at 12 in. o.c.

The strength reduction factor is greater for flexure than for shear because flexure-failure loads are more variable than shear-failure loads.

Web reinforcement is normally provided to ensure that the beam reaches the full _______ capacity.

Mi sobrino pequeño va a en los Pirineos cuando visita España.

You are considering a beam design that has dimensions of b = 16 in., h = 24 in., and d = 21.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 7,600 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?

A simply-supported beam has a 5 kip/ft uniformly-distributed load over the left half of its 11-ft span. What is the magnitude of the maximum shear force in the beam?

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

Flexural stiffness is inversely related to span length. Therefore, a higher percentage of the load applied to floor panels is carried in the short span direction as compared to the long span direction.