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Compute φVn for the cross section shown. Assume f’c = 8,000 psi, fyt = 40,000 psi, b = 13 in., d = 20 in., and that there are four No. 9 longitudinal tension bars and No. 5 stirrups at 9 in. o.c.

In marketing, _____ involves accepting an obligation to give equal weight to profits, consumer satisfaction, and social well-being in evaluating a firm’s performance.

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 26 in., b2 = 13 in., d1 = 6 in., d2 = 15 in., and that there are three No. 6 longitudinal tension bars and No. 4 stirrups at 6 in. o.c. The stirrup hooks are 90°.

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, b1 = 32 in., b2 = 16 in., d1 = 4 in., d2 = 15 in., and that there are three No. 6 longitudinal tension bars and No. 3 stirrups at 10 in. o.c. The stirrup hooks are 90°.

If φVc = 51 kip and Vu = 40 kip, are stirrups required?

Jamal is the marketing director of a third party logistics firm operating in the United States.  Jamal and Jamal’s team recently engaged in ________ to determine the company’s primary objectives over the next three years and identified specific actions that the company would initiate to achieve the objectives.

Compute φVn for the cross section shown. Assume f’c = 5,000 psi, fyt = 40,000 psi, b1 = 30 in., b2 = 12 in., d1 = 8 in., d2 = 17 in., and that there are three No. 9 longitudinal tension bars and No. 5 stirrups at 10 in. o.c.

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b = 13 in., d = 22 in., and that there are four No. 6 longitudinal tension bars and No. 3 stirrups at 7 in. o.c. The stirrup hooks are 135°.

A rectangular beam with cross section b = 16 in., h = 22 in., and d = 19.5 in. supports a total factored uniform load of 2.10 kips/ft, including its own dead load. The beam is simply supported with a 22-ft span. It is reinforced with four No. 7 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 5,700 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 = 200.6 kip-ft, and the strength of the remaining two bars is φMn = 102.8 kip-ft. If the distance from the support to the theoretical cutoff point is 6.194 ft, determine the distance from the support to the actual cutoff point (i.e. use ACI 318-14 Section 9.7.3.3).

Determine the transverse reinforcement index, Ktr, for a rectangular beam with b = 17 in. and d = 21 in., five uncoated No. 9 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 4 Grade 40 stirrups located every 6 in. along the span. Assume 6,000-psi normal-weight concrete and a clear cover of 2 in.