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 = 28 in., b2 = 15 in., d = 23 in., h1 = 6 in., h2 = 13 in., h3 = 9 in., and t = 6 in. There are four No. 8 longitudinal tension bars and No. 3 stirrups at 9 in. o.c.

Determine the casting-position modification factor, ψt, for a rectangular beam with b = 16 in. and d = 23 in., five epoxy-coated No. 8 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 3 Grade 60 stirrups located every 8 in. along the span. Assume 7,000-psi normal-weight concrete and a clear cover of 2 in.

Determine the bar-spacing factor, cb, for a simply supported rectangular beam with b = 16 in. and No. 3 stirrups. This beam has five No. 7 bars as longitudinal reinforcement. The clear cover is 1.8 in.

A 115-mm-long beam supports a load of P = 42 N at midspan. The cross section is rectangular with width b = 28 mm and height h = 50 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 b1 = 22 in., b2 = 11 in., d = 57 in., h1 = 4 in., h2 = 50 in., h3 = 8 in., and t = 8 in. There are six No. 9 longitudinal tension bars and No. 3 stirrups at 7 in. o.c.

A rectangular beam with cross section b = 14 in., h = 22 in., and d = 19.5 in. supports a total factored uniform load of 1.20 kips/ft, including its own dead load. The beam is simply supported with a 21-ft span. It is reinforced with five No. 5 Grade 60 bars, three 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 3,900 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 five bars is φMn = 129 kip-ft, and the strength of the remaining two bars is φMn = 53.29 kip-ft. Determine the distance from the support to the theoretical cutoff point (i.e. disregard ACI 318-14 Section 9.7.3.3).

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 22 in., b2 = 11 in., d1 = 8 in., d2 = 15 in., and that there are three No. 9 longitudinal tension bars and No. 5 stirrups at 9 in. o.c. The stirrup hooks are 90°.

Determine the lightweight modification factor, λ, for a rectangular beam with b = 18 in. and d = 22 in., three uncoated No. 8 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 4 Grade 60 stirrups located every 8 in. along the span. Assume 4,000-psi normal-weight concrete and a clear cover of 1.5 in.

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 20 in., b2 = 11 in., d = 45 in., h1 = 6 in., h2 = 35 in., h3 = 9 in., and t = 7 in. There are sixNo. 8 longitudinal tension bars and No. 3 stirrups at 11 in. o.c.

Determine the lightweight modification factor, λ, for a rectangular beam with b = 17 in. and d = 22 in., three galvanized No. 6 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 3 Grade 60 stirrups located every 10 in. along the span. Assume 7,000-psi normal-weight concrete and a clear cover of 1.75 in.