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.

A rectangular beam has a cross section of b = 18 in., h = 24 in., and d = 21.5 in. It is reinforced with four No. 7 Grade 60 bars. The concrete strength is 10,000 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 4.765 in.

In tall concrete buildings with columns and shear walls, the columns will generally be more highly stressed axially than the walls and will shorten more.

A simply supported beam with dimensions of b = 18 in., h = 22 in., d = 19.5 in., and L = 19 ft supports a uniform service (unfactored) dead load of 1.7125 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.1 kips/ft. The beam is reinforced with two No. 6 Grade 60 bars. The concrete strength is 2,800 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 48.02 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 126.9 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 3.8373 in.

When a concrete beam is loaded, it will undergo an initial instantaneous deflection due to the load. If the load remains on the beam, additional sustained-load deflections occur due to creep.

Which of the following is not part of a serviceability limit state?

A rectangular beam has a cross section of b = 16 in., h = 24 in., and d = 21.5 in. It is reinforced with five No. 7 Grade 60 bars. The concrete strength is 6,100 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the cracking moment, Mcr.

In tall concrete buildings with columns and shear walls, the relative shortening between the columns and walls may exceed 1 in. after several years.

An elastic calculation gives a good estimate of the concrete and steel stresses at service loads.