A wall footing has the following conditions. Determine the critical bending moment, Mu, at the face of the wall. Assume the footing is 5 ft wide and the pressure that acts on the bottom of the footing is 4,800 psf.The bottom of the footing is at a depth of 4 ft below grade.The service dead load is 12 kips/ft, and the service live load is 6 kips/ft.The wall is 12 in. thick.The footing is 16 in. thick.The allowable soil pressure, qa, is 4,700 psf.The soil has a density of 130 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,500 psi and fy = 60,000 psi.

A rectangular beam has a cross section of b = 16 in., h = 30 in., and d = 27.5 in. It is reinforced with two No. 5 Grade 60 bars. The concrete strength is 4,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the cracking moment, Mcr.

A wall footing has the following conditions. Determine the moment capacity, Mn, of the footing. Assume the footing is 4 ft wide, the pressure that acts on the bottom of the footing is 5,000 psf, and the reinforcement is a #9 bar spaced every 12 inches.The bottom of the footing is at a depth of 3 ft below grade.The service dead load is 6 kips/ft, and the service live load is 8 kips/ft.The wall is 14 in. thick.The footing is 13 in. thick.The allowable soil pressure, qa, is 4,100 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 = 4,000 psi and fy = 60,000 psi.

A wall footing has the following conditions. Determine the required cross-sectional area of shrinkage and temperature reinforcement. Assume the footing is 5 ft wide, the pressure that acts on the bottom of the footing is 5,600 psf, and the reinforcement is a #6 bar spaced every 12 inches.The bottom of the footing is at a depth of 4 ft below grade.The service dead load is 14 kips/ft, and the service live load is 7 kips/ft.The wall is 10 in. thick.The footing is 10 in. thick.The allowable soil pressure, qa, is 4,700 psf.The soil has a density of 130 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,900 psi and fy = 60,000 psi.

A rectangular beam has a cross section of b = 14 in., h = 22 in., and d = 19.5 in. It is reinforced with five No. 5 Grade 60 bars. The concrete strength is 5,800 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 simply supported beam with dimensions of b = 18 in., h = 28 in., d = 25.5 in., and L = 22 ft supports a uniform service (unfactored) dead load of 2.125 kips/ft including its own self weight plus a uniform service (unfactored) live load of 0.9 kips/ft. The concrete is normal-weight concrete. The beam is reinforced with 3 No. 7 bars. The concrete strength is 6,100 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 wall footing has the following conditions. Determine the depth, d, of the reinforcement. Assume the footing is 5 ft wide, the pressure that acts on the bottom of the footing is 5,920 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 14 kips/ft, and the service live load is 8 kips/ft.The wall is 10 in. thick.The footing is 16 in. thick.The allowable soil pressure, qa, is 5,500 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 = 4,000 psi and fy = 60,000 psi.

Compute the maximum bar spacing, s, to control for cracks in a one-way slab with 2.2 in. of clear cover and f​y​ = 60 ksi.

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​ = 50 ksi.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 5 bars at a depth of 16 in. The top row contains 5 No. 7 bars at a depth of 10 in. Determine the effective (centroidal) depth, d, of the steel.