A simply supported beam with dimensions of b = 14 in., h = 24 in., d = 21.5 in., and L = 23 ft supports a uniform service (unfactored) dead load of 1.55 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. 6 Grade 60 bars. The concrete strength is 7,600 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 = 4,127.3 in.4.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 7 No. 6 bars at a depth of 20 in. The top row contains 5 No. 7 bars at a depth of 15 in. Determine the effective (centroidal) depth, d, of the steel.

Heat of hydration can cause a bursting force in the concrete where the bar is located and cause an eventual loss of cover.

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

What does the symbol f​r ​represent in the transition from I​g​ to I​cr ​equation?

Ignoring the compression reinforcement will have only a minor effect on elastic stress and deflection analyses.

A simply supported beam with dimensions of b = 14 in., h = 30 in., d = 27.5 in., and L = 21 ft supports a uniform service (unfactored) dead load of 2.1375 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.4 kips/ft. The beam is reinforced with three No. 5 Grade 60 bars. The concrete strength is 4,000 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 = 6,462.8 in.4.

A rectangular beam has a cross section of b = 18 in., h = 22 in., and d = 19.5 in. It is reinforced with two No. 7 Grade 60 bars. The concrete strength is 8,800 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 3.411 in.

A rectangular beam has a cross section of b = 16 in., h = 26 in., and d = 23.5 in. It is reinforced with three No. 6 Grade 60 bars. The concrete strength is 6,700 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 4.4232 in.

States at which the structure becomes unfit for its intended function are called liability states.