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396_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 396_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 5.4-3 A 4.5 in. outside diameter polyethylene pipe designed to carry chemical wastes is placed in a trench and bent around a quarter-circular bend (see figure). The bent section of the pipe is long. Determine the maximum compressive strain in the pipe. â max 46 ft 90° 390 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.4-3 Polyethylene pipe L 46 ft 552 in. d 4.5 in. L 2 p r 4 p r 2 L length of 90° bend Angle equals or radians, â max p d 4 L p 4 a 4.5 in. 552 in. b 6400 * 10 6 ; r L p /2 2 L p â max y r d /2 2 L / p r r radius of curvature p /2 90° 90 ° Problem 5.4-4 A cantilever beam is loaded by a couple at its free end (see figure.) The length of the beam is and the longitudinal normal strain at the top surface is 0.001. The distance from the top surface of the beam to the neutral surface is 75 mm.

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