The straight line theory is an elastic calculation that give…

The straight line theory is an elastic calculation that gives a good estimate of the concrete and steel stresses at service loads. It is used to calculate the stiffness, EI, at service loads, for deflection calculations, and steel stresses, for use in crack-width or fatigue calculations.

A rectangular beam has a cross section of b = 14 in., h = 24…

A rectangular beam has a cross section of b = 14 in., h = 24 in., and d = 21.5 in. It is reinforced with four No. 5 Grade 60 bars. The concrete strength is 2,800 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 5.2594 in.

A simply supported beam with dimensions of b = 18 in., h = 3…

A simply supported beam with dimensions of b = 18 in., h = 30 in., d = 27.5 in., and L = 19 ft supports a uniform service (unfactored) dead load of 2.0625 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.3 kips/ft. The concrete is normal-weight concrete. The beam is reinforced with 2 No. 8 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.