Determine the transverse reinforcement index, Ktr, for a rectangular beam with b = 17 in. and d = 20 in., three epoxy-coated No. 6 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 3 Grade 40 stirrups located every 12 in. along the span. Assume 8,000-psi normal-weight concrete and a clear cover of 1.5 in.

Which symbol represents the transverse reinforcement index?

A rectangular beam has a cross section of b = 14 in., h = 30 in., and d = 27.5 in. It is reinforced with four No. 7 Grade 60 bars. The concrete strength is 5,200 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.

Determine the lightweight modification factor, λ, for a rectangular beam with b = 16 in. and d = 22 in., four galvanized No. 9 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 4 Grade 60 stirrups located every 12 in. along the span. Assume 5,000-psi normal-weight concrete and a clear cover of 1.75 in.

A rectangular beam with cross section b = 14 in., h = 20 in., and d = 17.5 in. supports a total factored uniform load of 3.20 kips/ft, including its own dead load. The beam is simply supported with a 19-ft span. It is reinforced with four No. 8 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 3,300 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 = 214.5 kip-ft, and the strength of the remaining two bars is φMn = 115.8 kip-ft. Determine the distance from the support to the theoretical cutoff point (i.e. disregard ACI 318-14 Section 9.7.3.3).

The development length of a reinforcing bar in compression is different than the development length of a similar bar in tension.

Determine the size modification factor, ψs, for a rectangular beam with b = 18 in. and d = 24 in., three uncoated No. 7 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 3 Grade 60 stirrups located every 6 in. along the span. Assume 8,000-psi lightweight concrete and a clear cover of 1.75 in.

Determine the bar-spacing factor, cb, for a simply supported rectangular beam with b = 20 in. and No. 3 stirrups. This beam has three No. 8 bars as longitudinal reinforcement. The clear cover is 1.8 in.

A rectangular beam with cross section b = 14 in., h = 20 in., and d = 17.5 in. supports a total factored uniform load of 1.30 kips/ft, including its own dead load. The beam is simply supported with a 20-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 3,600 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 = 114.5 kip-ft, and the strength of the remaining two bars is φMn = 47.61 kip-ft. If the distance from the support to the theoretical cutoff point is 4.828 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 lightweight modification factor, λ, for a rectangular beam with b = 16 in. and d = 21 in., four galvanized No. 9 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 6,000-psi normal-weight concrete and a clear cover of 2 in.