A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 6 bars at a depth of 14 in. The top row contains 5 No. 5 bars at a depth of 8 in. Determine the effective (centroidal) depth, d, of the steel.

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 5,200 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the assumed modulus of elasticity of the concrete, Ec.

A rectangular beam has a cross section of b = 18 in., h = 24 in., and d = 21.5 in. It is reinforced with three No. 7 Grade 60 bars. The concrete strength is 3,700 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the modulus of rupture of the concrete, fr.

The major serviceability limit states in reinforced concrete are caused by excessive deflections, excessive crack widths, and undesirable vibrations.

A simply supported beam with dimensions of b = 18 in., h = 30 in., d = 27.5 in., and L = 24 ft supports a uniform service (unfactored) dead load of 1.7625 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.4 kips/ft. The concrete is normal-weight concrete. The beam is reinforced with 5 No. 8 bars. The concrete strength is 5,800 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 simply supported beam with dimensions of b = 18 in., h = 30 in., d = 27.5 in., and L = 16 ft supports a uniform service (unfactored) dead load of 2.3625 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.5 kips/ft. The concrete is normal-weight concrete. The beam is reinforced with 4 No. 8 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.      

Excessive deflections can lead to cracking of partitions but not malfunctioning of doors and windows.

A simply supported beam with dimensions of b = 16 in., h = 22 in., d = 19.5 in., and L = 21 ft supports a uniform service (unfactored) dead load of 1.766667 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.4 kips/ft. The beam is reinforced with two No. 8 Grade 60 bars. The concrete strength is 7,900 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 71.7 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 174.6 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 4.1639 in.

A(n) _______ limit state signifies a threat of collapse; a(n) _______ limit state does not.

A rectangular beam has a cross section of b = 14 in., h = 30 in., and d = 27.5 in. It is reinforced with three No. 5 Grade 60 bars. The concrete strength is 8,200 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).