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A simply supported beam with dimensions of b = 14 in., h = 2…

A simply supported beam with dimensions of b = 14 in., h = 28 in., d = 25.5 in., and L = 22 ft supports a uniform service (unfactored) dead load of 1.708333 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.1 kips/ft. The beam is reinforced with four No. 7 Grade 60 bars. The concrete strength is 8,800 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 107.3 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 169.9 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 6.0187 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. 8 Grade 60 bars. The concrete strength is 4,600 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the modulus of rupture of the concrete, fr.

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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. 8 Grade 60 bars. The concrete strength is 8,800 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the assumed modulus of elasticity of the concrete, Ec.

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Compute the maximum bar spacing, s, to control for cracks in…

Compute the maximum bar spacing, s, to control for cracks in a one-way slab with 2.4 in. of clear cover and f​y​ = 56 ksi.

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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 two No. 5 Grade 60 bars. The concrete strength is 9,100 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 3.0002 in.

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A beam is singly reinforced with the reinforcement in two ro…

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 8 bars at a depth of 22 in. The top row contains 6 No. 5 bars at a depth of 18.5 in. Determine the effective (centroidal) depth, d, of the steel.

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A rectangular beam has a cross section of b = 16 in., h = 30…

A rectangular beam has a cross section of b = 16 in., h = 30 in., and d = 27.5 in. It is reinforced with three No. 6 Grade 60 bars. The concrete strength is 3,100 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 5.7293 in.

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A beam is singly reinforced with the reinforcement in two ro…

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 6 bars at a depth of 24 in. The top row contains 5 No. 7 bars at a depth of 19 in. Determine the effective (centroidal) depth, d, of the steel.

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A beam is singly reinforced with the reinforcement in two ro…

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 9 No. 6 bars at a depth of 14 in. The top row contains 7 No. 8 bars at a depth of 8 in. Determine the effective (centroidal) depth, d, of the steel.

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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 = 24 in., d = 21.5 in., and L = 23 ft supports a uniform service (unfactored) dead load of 2.25 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.2 kips/ft. The beam is reinforced with three No. 7 Grade 60 bars. The concrete strength is 2,500 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Using the effective moment of inertia, determine the immediate mid-span deflection of the beam due to the combined service loads (dead plus live).The effective moment of inertia Ie = 5,883.1 in.4.

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