A simply supported beam with dimensions of b = 14 in., h = 22 in., d = 19.5 in., and L = 22 ft supports a uniform service (unfactored) dead load of 1.320833 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.3 kips/ft. The beam is reinforced with four No. 7 Grade 60 bars. The concrete strength is 9,400 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 = 3,969.5 in.4.

A wall footing has the following conditions. Determine the required development length, ld, for the reinforcement. Assume the footing is 7 ft wide, the pressure that acts on the bottom of the footing is 4,000 psf, and the reinforcement is a #5 bar spaced every 12 inches.The bottom of the footing is at a depth of 5 ft below grade.The service dead load is 14 kips/ft, and the service live load is 7 kips/ft.The wall is 14 in. thick.The footing is 14 in. thick.The allowable soil pressure, qa, is 4,000 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 = 3,200 psi and fy = 60,000 psi.

A wall footing has the following conditions. Determine the minimum width of the footing.The bottom of the footing is at a depth of 5 ft below grade.The service dead load is 11 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 4,000 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 = 3,500 psi and fy = 60,000 psi.

A rectangular beam has a cross section of b = 16 in., h = 24 in., and d = 21.5 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 cracked moment of inertia, Icr. The neutral axis location of the cracked beam (measured from the top of the beam) is 5.2075 in.

A rectangular beam has a cross section of b = 14 in., h = 24 in., and d = 21.5 in. It is reinforced with three No. 6 Grade 60 bars. The concrete strength is 7,600 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 required cross-sectional area of shrinkage and temperature reinforcement. Assume the footing is 4 ft wide, the pressure that acts on the bottom of the footing is 5,100 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 9 kips/ft, and the service live load is 6 kips/ft.The wall is 16 in. thick.The footing is 15 in. thick.The allowable soil pressure, qa, is 4,700 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 = 3,800 psi and fy = 60,000 psi.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 10 No. 6 bars at a depth of 14 in. The top row contains 8 No. 7 bars at a depth of 10 in. Determine the effective (centroidal) depth, d, of the steel.

A rectangular beam has a cross section of b = 14 in., h = 22 in., and d = 19.5 in. It is reinforced with three No. 8 Grade 60 bars. The concrete strength is 4,300 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the modulus of rupture of the concrete, fr.

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 5,680 psf, and the reinforcement is a #7 bar spaced every 12 inches.The bottom of the footing is at a depth of 5 ft below grade.The service dead load is 13 kips/ft, and the service live load is 8 kips/ft.The wall is 12 in. thick.The footing is 16 in. thick.The allowable soil pressure, qa, is 5,700 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 = 3,100 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 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).