assing 1H - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering 2.001 Mechanics and Materials I Fall 2006 Problem Set 8 Distributed: Wednesday, November 8, 2006 Due: Monday, November 13, 2006 Problem 1: Hibbeler 9-70 Problem 2: Hibbeler 9-78 B D C A θ L L θ Problem 3: A structure is composed of three bars pinned together as shown in the adjoining diagram. Each bar has a cross-sectional area of A, a Young’s modulus of E, and a coefficient of thermal expansion of α . The bars fit together perfectly when they are first assembled (that is, there are no stresses in the bars when the structure is first assembled). What are the forces in the bars and what is the displacement of point D when the temperature of bar DC is increased by T? Problem 4: An empty cylindrical pressure vessel is placed between two fixed walls so that it just fits. It is free to expand radially. It has a radius R and wall thickness t << R, and its Young’s modulus, Poisson ratio, and coefficient of thermal expansion are E,
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This note was uploaded on 08/16/2009 for the course ENG A taught by Professor Prof during the Spring '09 term at Ohio University- Athens.

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assing 1H - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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