assing 1D

# assing 1D - 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 4 Distributed: Wednesday, October 4, 2006 Due: Wednesday, October 11, 2006 Problem 1: A structure is attached to a wall by a fixed support as shown in the diagram below. From point A to point B, the structure is a cylinder with radius R 1 . From point B to point C, the structure is a cylinder with radius R 2 . Before the structure is loaded at point B with the force P, the length of each cylinder (AB and BC) is L. The entire structure is made of the same material, which has a Young’s modulus of E. Find the strain ε (x) and the displacement u(x) of each point x along the length of the structure, and plot them vs. x. What is the total deformation δ AB of cylinder AB when the load is applied? What is the total deformation δ BC of cylinder BC when the load is applied? P

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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 1D - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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