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 = 23 in., w = 13.5 in., and t = 6 in. There are five No. 7 longitudinal tension bars and No. 5 stirrups at 6 in. o.c.

When a reinforcing bar is loaded in _______, the diameter of the bar decreases slightly, due to Poisson’s ratio.

If φVc = 34 kip and Vu = 68 kip, are stirrups required?

The shear failure of a slender beam without stirrups is sudden and dramatic.

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.

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.

Bond stress values do not vary from point to point between cracks.

In designing for shear, one must ensure that the shear strength equals or exceeds the flexural strength at all points in the beam.

A rectangular beam with cross section b = 16 in., h = 20 in., and d = 17.5 in. supports a total factored uniform load of 2.20 kips/ft, including its own dead load. The beam is simply supported with a 22-ft span. It is reinforced with four No. 8 Grade 60 bars, two of which are cutoff between midspan and the support and two of which extend 10 in. past the centers of the supports. The concrete strength is 5,100 psi (normal weight). The beam has Grade 60 No. 3 stirrups satisfying ACI 318-14 Sections 9.7.6.2.2 and 9.6.3.3. The strength of the four bars is φMn = 229.4 kip-ft, and the strength of the remaining two bars is φMn = 119.6 kip-ft. If the distance from the support to the theoretical cutoff point is 7.497 ft, determine the distance from the support to the actual cutoff point (i.e. use ACI 318-14 Section 9.7.3.3).

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 = 3,500 psi, fyt = 60,000 psi, b = 10 in., d = 16 in., and that there are four No. 6 longitudinal tension bars and No. 5 stirrups at 10 in. o.c. The stirrup hooks are 135°.