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ProblemSet5

# ProblemSet5 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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M ASSACHUSETTS I NSTITUTE OF T ECHNOLOGY Department of Mechanical Engineering 2.001-Mechanics and Materials I Spring, 2006 Problem Set 5 Distributed: Wednesday, March 22, 2006 Due: Monday, April 3, 2006 Reading Assignment. Hibbeler: review Section 8.1 + read sections 5.1, 5.2, 5.3, 5.4, 5.5 Solve all the following problems assuming that the materials are linear, isotropic, elastic. Problem 1: Hibbeler 4-69 Problem 2: Hibbeler 8-3 Problem 3: Hibbeler 8-4 Problem 4: Part 1 A steel cylindrical thin-wall vessel contains a volatile fuel under pressure. For safety reasons, the pressure inside the tank should not exceed a maximum value P max . A strain gage records the circumferential strain in the tank and transmits this information to the control room (the gage reads zero strain for zero pressure). At what value of strain, ( ε θθ ) max should the operators take action and open the relief valve on the tank (to reduce the pressure)? Express ( ε θθ ) max in terms of P max , the geometry of the vessel (radius R , thickness t ), and the

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ProblemSet5 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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