A rectangular beam has a cross section of b = 16 in., h = 26 in., and d = 23.5 in. It is reinforced with five No. 7 Grade 60 bars. The concrete strength is 5,200 psi (normal weight). The beam has Grade 60 No. 3 stirrups satisfying ACI 318-14 Sections 9.7.6.2.2 and 9.6.3.3. Determine the strength φMn for this beam.

Flexure-failure loads are more variable than shear-failure loads.

A simply supported beam with dimensions of b = 16 in., h = 22 in., d = 19.5 in., and L = 16 ft supports a uniform service (unfactored) dead load of 1.466667 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.3 kips/ft. The beam is reinforced with three No. 6 Grade 60 bars. The concrete strength is 8,500 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 74.37 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 88.53 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 3.783 in.

Use ACI 318-14 Table 25.4.2.2 to determine the development length for the straight tension bars (no hooks) in a rectangular beam with b = 16 in. and d = 24 in., five galvanized No. 6 Grade 60 bars placed in the bottom of the beam, and No. 4 Grade 40 stirrups located every 6 in. along the span. Assume 8,000-psi lightweight concrete and a clear cover of 1.75 in.

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 39 in., b2 = 15 in., d1 = 8 in., d2 = 19 in., and that there are three No. 6 longitudinal tension bars and No. 3 stirrups at 12 in. o.c. The stirrup hooks are 90°.

Find the exact real value of arcsin . (5 points)

Find a cubic function with the given zeros. 6, -5, 2 (5 points)

93. What is the subject for the verb in the sentence below ? ____ travaillons dans deux universités.

A rectangular beam has a cross section of b = 14 in., h = 28 in., and d = 25.5 in. It is reinforced with five No. 5 Grade 60 bars. The concrete strength is 5,500 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the modulus of rupture of the concrete, fr.

In order for a reinforced concrete beam to function properly (concrete resisting compression, steel resisting tension), a bond must exist between the concrete and the reinforcement.