A simply supported beam with dimensions of b = 14 in., h = 26 in., d = 23.5 in., and L = 22 ft supports a uniform service (unfactored) dead load of 1.479167 kips/ft including its own self weight plus a uniform service (unfactored) live load of 0.9 kips/ft. The beam is reinforced with two No. 6 Grade 60 bars. The concrete strength is 7,300 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 = 5,939.7 in.4.

A simply supported beam with dimensions of b = 18 in., h = 22 in., d = 19.5 in., and L = 25 ft supports a uniform service (unfactored) dead load of 2.1125 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. 8 Grade 60 bars. The concrete strength is 7,300 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 77.54 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 266.6 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 5.4248 in.

A simply supported beam with dimensions of b = 18 in., h = 24 in., d = 21.5 in., and L = 22 ft supports a uniform service (unfactored) dead load of 1.95 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.3 kips/ft. The beam is reinforced with two No. 5 Grade 60 bars. The concrete strength is 2,800 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 = 2,643.9 in.4.

The three main reasons for controlling crack widths are appearance, creep, and leakage.

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​ = 60 ksi.

A simply supported beam with dimensions of b = 18 in., h = 26 in., d = 23.5 in., and L = 20 ft supports a uniform service (unfactored) dead load of 1.7875 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.0 kips/ft. The beam is reinforced with five No. 8 Grade 60 bars. The concrete strength is 7,300 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 108.3 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 139.4 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 6.6383 in.

A simply supported beam with dimensions of b = 14 in., h = 28 in., d = 25.5 in., and L = 23 ft supports a uniform service (unfactored) dead load of 1.708333 kips/ft including its own self weight plus a uniform service (unfactored) live load of 0.8 kips/ft. The beam is reinforced with four No. 7 Grade 60 bars. The concrete strength is 3,700 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 = 9,728.2 in.4.

A simply supported beam with dimensions of b = 14 in., h = 24 in., d = 21.5 in., and L = 15 ft supports a uniform service (unfactored) dead load of 1.45 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. 8 Grade 60 bars. The concrete strength is 7,600 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 73.23 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 63.28 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 5.6043 in.

At service loads, the reinforcing steel is in the elastic range of behavior.

A simply supported beam with dimensions of b = 16 in., h = 28 in., d = 25.5 in., and L = 24 ft supports a uniform service (unfactored) dead load of 2.266667 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.0 kips/ft. The beam is reinforced with three No. 7 Grade 60 bars. The concrete strength is 4,900 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 91.47 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 235.2 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 5.6915 in.