A rectangular beam has a cross section of b = 18 in., h = 30…

A rectangular beam has a cross section of b = 18 in., h = 30 in., and d = 27.5 in. It is reinforced with five No. 5 Grade 60 bars. The concrete strength is 8,800 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the modulus of rupture of the concrete, fr.

A rectangular beam with cross section b = 16 in., h = 28 in….

A rectangular beam with cross section b = 16 in., h = 28 in., and d = 25.5 in. supports a total factored uniform load of 3.10 kips/ft, including its own dead load. The beam is simply supported with a 23-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 5,100 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 = 343.2 kip-ft, and the strength of the remaining two bars is φMn = 176.4 kip-ft. Determine the distance from the support to the theoretical cutoff point (i.e. disregard ACI 318-14 Section 9.7.3.3).

Determine the casting-position modification factor, ψt, for…

Determine the casting-position modification factor, ψt, for a rectangular beam with b = 16 in. and d = 20 in., three epoxy-coated No. 7 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 7,000-psi normal-weight concrete and a clear cover of 1.5 in.

Determine the lightweight modification factor, λ, for a rect…

Determine the lightweight modification factor, λ, for a rectangular beam with b = 17 in. and d = 24 in., five galvanized No. 9 Grade 60 tension-reinforcement 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 1.5 in.

Determine the size modification factor, ψs, for a rectangula…

Determine the size modification factor, ψs, for a rectangular beam with b = 18 in. and d = 22 in., four epoxy-coated No. 6 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 4 Grade 40 stirrups located every 12 in. along the span. Assume 4,000-psi lightweight concrete and a clear cover of 1.75 in.