A rectangular beam has a cross section of b = 18 in., h = 26 in., and d = 23.5 in. It is reinforced with two No. 6 Grade 60 bars. The concrete strength is 8,200 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 distance to the neutral axis, c, measured from the top of the footing. Assume the footing is 4 ft wide, the pressure that acts on the bottom of the footing is 6,400 psf, and the reinforcement is a #9 bar spaced every 12 inches.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 7 kips/ft.The wall is 14 in. thick.The footing is 11 in. thick.The allowable soil pressure, qa, is 5,200 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 = 3,200 psi and fy = 60,000 psi.

A simply supported beam with dimensions of b = 14 in., h = 28 in., d = 25.5 in., and L = 20 ft supports a uniform service (unfactored) dead load of 2.108333 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.2 kips/ft. The concrete is normal-weight concrete. The beam is reinforced with 5 No. 8 bars. The concrete strength is 7,300 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 rectangular beam has a cross section of b = 16 in., h = 26 in., and d = 23.5 in. It is reinforced with five No. 7 Grade 60 bars. The concrete strength is 4,600 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 6.8448 in.

A rectangular beam has a cross section of b = 18 in., h = 30 in., and d = 27.5 in. It is reinforced with three No. 8 Grade 60 bars. The concrete strength is 7,300 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the cracking moment, Mcr.

A rectangular beam has a cross section of b = 14 in., h = 24 in., and d = 21.5 in. It is reinforced with four No. 5 Grade 60 bars. The concrete strength is 8,500 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the gross moment of inertia, Ig, for the beam.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 9 No. 5 bars at a depth of 24 in. The top row contains 7 No. 5 bars at a depth of 21 in. Determine the effective (centroidal) depth, d, of the steel.

Compute the maximum bar spacing, s, to control for cracks in a one-way slab with 1.9 in. of clear cover and f​y​ = 60 ksi.

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).

Compute the maximum bar spacing, s, to control for cracks in a one-way slab with 1.7 in. of clear cover and f​y​ = 68 ksi.