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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. 7 longitudinal tension bars and No. 4 stirrups at 7 in. o.c. The stirrup hooks are 135°.

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 20 in., b2 = 10 in., d1 = 6 in., and d2 = 17 in. There are three No. 8 longitudinal tension bars and No. 4 stirrups at 6 in. o.c.

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.

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.

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?

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°.

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b = 12 in. and d = 29 in. There are four No. 7 longitudinal tension bars and No. 5 stirrups at 7 in. o.c.

At a point subjected to plane stress, the stresses are σx = 25 ksi, σy = 5 ksi, and τxy = –20 ksi. Determine the angle θp corresponding to the orientation of the principal planes at the point.

If φVc = 30 kip and Vu = 65 kip, are stirrups required?

A 115-mm-long beam supports a load of P = 36 N at midspan. The cross section is rectangular with width b = 29 mm and height h = 60 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.