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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. 8 Grade 60 bars. The concrete strength is 8,800 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 wall footing has the following conditions. Determine the shear capacity, φVn, of the footing. Assume the footing is 4 ft wide, the pressure that acts on the bottom of the footing is 5,600 psf, and the reinforcement is a #4 bar spaced every 12 inches.The bottom of the footing is at a depth of 4 ft below grade.The service dead load is 8 kips/ft, and the service live load is 8 kips/ft.The wall is 12 in. thick.The footing is 14 in. thick.The allowable soil pressure, qa, is 4,500 psf.The soil has a density of 110 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,600 psi and fy = 60,000 psi.

A simply supported beam with dimensions of b = 18 in., h = 24 in., d = 21.5 in., and L = 16 ft supports a uniform service (unfactored) dead load of 1.95 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. 8 Grade 60 bars. The concrete strength is 6,700 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 88.4 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 97.6 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 5.8451 in.

A wall footing has the following conditions. Determine the shear capacity, φVn, of the footing. Assume the footing is 5 ft wide, the pressure that acts on the bottom of the footing is 4,800 psf, and the reinforcement is a #8 bar spaced every 12 inches.The bottom of the footing is at a depth of 3 ft below grade.The service dead load is 12 kips/ft, and the service live load is 6 kips/ft.The wall is 14 in. thick.The footing is 13 in. thick.The allowable soil pressure, qa, is 4,300 psf.The soil has a density of 125 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,700 psi and fy = 60,000 psi.

A wall footing has the following conditions. Determine the pressure that acts on the soil. Assume the footing is 4 ft wide.The bottom of the footing is at a depth of 2 ft below grade.The service dead load is 14 kips/ft, and the service live load is 6 kips/ft.The wall is 14 in. thick.The footing is 12 in. thick.The allowable soil pressure, qa, is 5,900 psf.The soil has a density of 120 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,400 psi and fy = 60,000 psi.

A wall footing has the following conditions. Determine the pressure that acts on the soil. Assume the footing is 3 ft wide.The bottom of the footing is at a depth of 5 ft below grade.The service dead load is 8 kips/ft, and the service live load is 6 kips/ft.The wall is 14 in. thick.The footing is 12 in. thick.The allowable soil pressure, qa, is 5,600 psf.The soil has a density of 115 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,300 psi and fy = 60,000 psi.

A wall footing has the following conditions. Determine the moment capacity, Mn, of the footing. Assume the footing is 5 ft wide, the pressure that acts on the bottom of the footing is 5,440 psf, and the reinforcement is a #7 bar spaced every 12 inches.The bottom of the footing is at a depth of 3 ft below grade.The service dead load is 12 kips/ft, and the service live load is 8 kips/ft.The wall is 14 in. thick.The footing is 16 in. thick.The allowable soil pressure, qa, is 4,600 psf.The soil has a density of 110 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,000 psi and fy = 60,000 psi.

A rectangular beam has a cross section of b = 14 in., h = 30 in., and d = 27.5 in. It is reinforced with four No. 7 Grade 60 bars. The concrete strength is 7,300 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 = 28 in., and d = 25.5 in. It is reinforced with three No. 7 Grade 60 bars. The concrete strength is 4,000 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 5.9487 in.

A rectangular beam has a cross section of b = 18 in., h = 28 in., and d = 25.5 in. It is reinforced with five No. 5 Grade 60 bars. The concrete strength is 7,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the gross moment of inertia, Ig, for the beam.