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?

Concrete cover helps to protect reinforcement against corrosion.

The largest moments in a continuous beam or a frame occur when some spans are loaded with live load and others are not. Influence lines are often used to determine which span should and should not be loaded.

A concrete floor system with a ratio of the longer to the shorter span length that is less than 2 is usually considered a two-way system.

A 121-mm-long beam supports a load of P = 30 N at midspan. The cross section is rectangular with width b = 30 mm and height h = 55 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

Assuming Vs does not exceed 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let d = 57 in., w = 47.5 in., and t = 6 in. There are five No. 8 longitudinal tension bars and No. 4 stirrups at 12 in. o.c.

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 37 in., b2 = 12 in., d1 = 6 in., and d2 = 33 in. There are three No. 8 longitudinal tension bars and No. 4 stirrups at 10 in. o.c.

If φVc = 66 kip and Vu = 26 kip, are stirrups required?

A 115-mm-long beam supports a load of P = 30 N at midspan. The cross section is rectangular with width b = 26 mm and height h = 55 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.