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Almost universally, all of the longitudinal bars in a column…

Almost universally, all of the longitudinal bars in a column are the same size.

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A rectangular beam has a cross section of b = 14 in., h = 30…

A rectangular beam has a cross section of b = 14 in., h = 30 in., and d = 27.5 in. It is reinforced with five No. 6 Grade 60 bars. The concrete strength is 10,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the gross moment of inertia, Ig, for the beam.

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

A simply supported beam with dimensions of b = 18 in., h = 28 in., d = 25.5 in., and L = 19 ft supports a uniform service (unfactored) dead load of 1.825 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.4 kips/ft. The beam is reinforced with two No. 5 Grade 60 bars. The concrete strength is 10,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 147 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 145.5 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 2.8194 in.

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When a section cracks, its moment of inertia increases, lead…

When a section cracks, its moment of inertia increases, leading to a decrease in the stiffness of the beam.

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A rectangular beam has a cross section of b = 16 in., h = 28…

A rectangular beam has a cross section of b = 16 in., h = 28 in., and d = 25.5 in. It is reinforced with three No. 8 Grade 60 bars. The concrete strength is 8,200 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the cracking moment, Mcr.

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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 four No. 8 Grade 60 bars. The concrete strength is 7,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the cracking moment, Mcr.

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A rectangular beam has a cross section of b = 14 in., h = 28…

A rectangular beam has a cross section of b = 14 in., h = 28 in., and d = 25.5 in. It is reinforced with five No. 6 Grade 60 bars. The concrete strength is 9,400 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 5.7126 in.

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A rectangular beam has a cross section of b = 14 in., h = 26…

A rectangular beam has a cross section of b = 14 in., h = 26 in., and d = 23.5 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 transformed cross-sectional area of the bars, Ast.

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Determine the required splice length for the longitudinal ba…

Determine the required splice length for the longitudinal bars in the following tied column. Assume that all of the longitudinal bars are in compression and that you will use a contact lap splice. Do not incorporate a reduction in length due to ACI 318-14 Section 10.7.5.2.1.Column width, b = 20 in.Column thickness, h = 26 in.Clear cover to ties = 1.5 in.Number of longitudinal bars = 6Size of longitudinal bars = No. 8Size of ties = No. 3Concrete strength = 5,000 psiYield strength of longitudinal bars = 60,000 psiYield strength of ties = 40,000 psi

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When a section cracks, its moment of inertia increases, lead…

When a section cracks, its moment of inertia increases, leading to a decrease in the stiffness of the beam.

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