For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 30 in., b2 = 16 in., d1 = 6 in., d2 = 27 in., and that there are three No. 7 longitudinal tension bars and No. 4 stirrups at 10 in. o.c. The stirrup hooks are 90°.

A rectangular beam has a cross section of b = 18 in., h = 22 in., and d = 19.5 in. It is reinforced with five No. 7 Grade 60 bars. The concrete strength is 6,400 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. Determine the strength φMn for this beam.

If φVc = 34 kip and Vu = 11 kip, are stirrups required?

If φVc = 23 kip and Vu = 63 kip, are stirrups required?

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 36 in., b2 = 13 in., d1 = 6 in., and d2 = 21 in. There are three No. 9 longitudinal tension bars and No. 5 stirrups at 11 in. o.c.

Advantages of technology include all of the following except:

Companies often reorganize their operations which might include lay-offs, divestiture of business units, or other decisions linked to their ability to maximize profitability.  Which dimension of social responsibility is related to a firm’s desire to maximize profits?

Use ACI 318-14 Table 25.4.2.2 to determine the development length for the straight tension bars (no hooks) in a rectangular beam with b = 18 in. and d = 24 in., five uncoated No. 9 Grade 60 bars placed in the bottom of the beam, and No. 4 Grade 60 stirrups located every 12 in. along the span. Assume 6,000-psi lightweight concrete and a clear cover of 1.75 in.

Use ACI 318-14 Table 25.4.2.2 to determine the development length for the straight tension bars (no hooks) in a rectangular beam with b = 17 in. and d = 20 in., five galvanized No. 9 Grade 60 bars placed in the bottom of the beam, and No. 4 Grade 60 stirrups located every 8 in. along the span. Assume 7,000-psi lightweight concrete and a clear cover of 1.75 in.

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b = 16 in., d = 25 in., and that there are four No. 9 longitudinal tension bars and No. 3 stirrups at 12 in. o.c. The stirrup hooks are 135°.