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A rectangular beam with cross section b = 14 in., h = 24 in., and d = 21.5 in. supports a total factored uniform load of 2.90 kips/ft, including its own dead load. The beam is simply supported with a 22-ft span. It is reinforced with five No. 8 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 = 336.8 kip-ft, and the strength of the remaining two bars is φMn = 145.6 kip-ft. If the distance from the support to the theoretical cutoff point is 6.463 ft, determine the distance from the support to the actual cutoff point (i.e. use ACI 318-14 Section 9.7.3.3).

Heat-of-hydration cracking can be prevented by proper mix design and by preventing rapid drying of the surface during the first hour or so after placing.

Determine the transverse reinforcement index, Ktr, for a rectangular beam with b = 18 in. and d = 21 in., four epoxy-coated No. 6 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 3 Grade 40 stirrups located every 6 in. along the span. Assume 8,000-psi lightweight concrete and a clear cover of 1.75 in.

Vertical cracks that extend almost to the zero-strain axis of a member are likely _______ cracks.

For economy, some of the bars can be cutoff where they are no longer needed.

A rectangular beam has a cross section of b = 16 in., h = 22 in., and d = 19.5 in. It is reinforced with two No. 6 Grade 60 bars. The concrete strength is 2,500 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the transformed cross-sectional area of the bars, Ast.

A rectangular beam has a cross section of b = 16 in., h = 22 in., and d = 19.5 in. It is reinforced with three No. 6 Grade 60 bars. The concrete strength is 5,200 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the cracked moment of inertia, Icr. The neutral axis location of the cracked beam (measured from the top of the beam) is 4.2179 in.

Development lengths are different in compression and tension.

The three main reasons for controlling crack widths are appearance, creep, and leakage.

A simply supported beam with dimensions of b = 16 in., h = 22 in., d = 19.5 in., and L = 25 ft supports a uniform service (unfactored) dead load of 1.366667 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.5 kips/ft. The concrete is normal-weight concrete. The beam is reinforced with 3 No. 6 bars. The concrete strength is 3,100 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the maximum applied bending moment due to the combined service loads (dead plus live), Ma.