Failure of a hooked anchorage almost always involves crushing of the concrete inside the hook.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 9 No. 5 bars at a depth of 20 in. The top row contains 5 No. 5 bars at a depth of 15.5 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. 8 Grade 60 bars. The concrete strength is 7,900 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 5.7824 in.

A simply supported beam with dimensions of b = 16 in., h = 22 in., d = 19.5 in., and L = 25 ft supports a uniform service (unfactored) dead load of 1.366667 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 3 No. 6 bars. The concrete strength is 3,100 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 rectangular beam has a cross section of b = 18 in., h = 28 in., and d = 25.5 in. It is reinforced with four No. 5 Grade 60 bars. The concrete strength is 6,400 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 rectangular beam has a cross section of b = 16 in., h = 22 in., and d = 19.5 in. It is reinforced with two No. 7 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 3.6543 in.

A simply supported beam with dimensions of b = 18 in., h = 24 in., d = 21.5 in., and L = 19 ft supports a uniform service (unfactored) dead load of 2.05 kips/ft including its own self weight plus a uniform service (unfactored) live load of 0.8 kips/ft. The beam is reinforced with three No. 7 Grade 60 bars. The concrete strength is 10,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 108 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 128.6 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 4.1961 in.

A simply supported beam with dimensions of b = 18 in., h = 30 in., d = 27.5 in., and L = 15 ft supports a uniform service (unfactored) dead load of 2.2625 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 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.      

In deformed reinforcing bars, adhesion and lateral friction are insignificant sources of bond strength.

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 4,300 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the gross moment of inertia, Ig, for the beam.