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 galvanized No. 9 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 4 Grade 40 stirrups located every 10 in. along the span. Assume 8,000-psi lightweight concrete and a clear cover of 2 in.

A rectangular beam has a cross section of b = 18 in., h = 24…

A rectangular beam has a cross section of b = 18 in., h = 24 in., and d = 21.5 in. It is reinforced with three No. 8 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.

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 two No. 7 Grade 60 bars. The concrete strength is 8,200 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 3.6543 in.

A simply supported beam with dimensions of b = 16 in., h = 2…

A simply supported beam with dimensions of b = 16 in., h = 28 in., d = 25.5 in., and L = 24 ft supports a uniform service (unfactored) dead load of 2.266667 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.0 kips/ft. The beam is reinforced with three No. 7 Grade 60 bars. The concrete strength is 4,900 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 91.47 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 235.2 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 5.6915 in.