A driver accidentally bumped a fire hydrant creating a bending moment of 855 N·m in the pipe below. The pipe has an inside diameter of 190 mm and a wall thickness of 8 mm and is pressurized to 390 kPa. Determine the largest normal stress along the length of the pipe.

A simply supported beam with dimensions of b = 14 in., h = 22 in., d = 19.5 in., and L = 22 ft supports a uniform service (unfactored) dead load of 2.020833 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 4,900 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 49.41 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 207 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 3.8833 in.

A rectangular beam has a cross section of b = 14 in., h = 30 in., and d = 27.5 in. It is reinforced with five No. 5 Grade 60 bars. The concrete strength is 6,700 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the transformed cross-sectional area of the bars, Ast.

Force P = 40 N is applied to a lever at the end of a 30-mm-diameter shaft. Force Q = 920 N is applied directly to the shaft. Determine the normal stress σy at point K. Let a = 170 mm and b = 240 mm.

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A rectangular beam has a cross section of b = 14 in., h = 22 in., and d = 19.5 in. It is reinforced with two No. 8 Grade 60 bars. The concrete strength is 7,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the gross moment of inertia, Ig, for the beam.

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A driver accidentally bumped a fire hydrant creating a bending moment of 715 N·m in the pipe below. The pipe has an inside diameter of 200 mm and a wall thickness of 8 mm and is pressurized to 355 kPa. Determine the largest normal stress along the length of the pipe.

A rectangular beam has a cross section of b = 18 in., h = 22 in., and d = 19.5 in. It is reinforced with five No. 6 Grade 60 bars. The concrete strength is 3,400 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the modulus of rupture of the concrete, fr.

A rectangular beam has a cross section of b = 18 in., h = 26 in., and d = 23.5 in. It is reinforced with three No. 8 Grade 60 bars. The concrete strength is 6,400 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the neutral axis location of the cracked beam (measured from the top of the beam).