A rectangular beam has a cross section of b = 16 in., h = 22…

A rectangular beam has a cross section of b = 16 in., h = 22 in., and d = 19.5 in. It is reinforced with four No. 6 Grade 60 bars. The concrete strength is 7,900 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the gross moment of inertia, Ig, for the beam.

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

Determine the lightweight modification factor, λ, for a rectangular beam with b = 18 in. and d = 21 in., five epoxy-coated No. 7 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 3 Grade 40 stirrups located every 10 in. along the span. Assume 5,000-psi lightweight concrete and a clear cover of 2 in.

A simply supported beam with dimensions of b = 18 in., h = 2…

A simply supported beam with dimensions of b = 18 in., h = 24 in., d = 21.5 in., and L = 21 ft supports a uniform service (unfactored) dead load of 1.45 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.2 kips/ft. The concrete is normal-weight concrete. The beam is reinforced with 3 No. 8 bars. The concrete strength is 6,400 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.      

A rectangular beam has a cross section of b = 16 in., h = 26…

A rectangular beam has a cross section of b = 16 in., h = 26 in., and d = 23.5 in. It is reinforced with five No. 6 Grade 60 bars. The concrete strength is 6,400 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 = 24…

A rectangular beam has a cross section of b = 16 in., h = 24 in., and d = 21.5 in. It is reinforced with two No. 8 Grade 60 bars. The concrete strength is 2,500 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the neutral axis location of the cracked beam (measured from the top of the beam).

A simply supported beam with dimensions of b = 18 in., h = 2…

A simply supported beam with dimensions of b = 18 in., h = 22 in., d = 19.5 in., and L = 18 ft supports a uniform service (unfactored) dead load of 1.7125 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. 5 bars. The concrete strength is 4,900 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.