ProblemSe8

# ProblemSe8 - Problem 1 Hibbeler 6-43 for each loading...

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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 8 Distributed: Wednesday, April 19, 2006 Due: Monday , April 24, 2006 NO LATE HOMEWORK WILL BE ACCEPTED! 1) Reading Assignment: Review All Readings & class notes 2) Prepare Notes: in preparation for Quiz 2, please compile ONE additional page (double-sided) of HANDWRITTEN notes/formulae to take with you to the quiz. You can also take with you the two pages of notes you made for Quiz 1 [if they were not good enough, you can make new ones]. Your three pages of notes (two old, one new) are the only things you can take with you for the quiz. You will hand in ALL the notes WITH YOUR QUIZ. Only the new page will be graded, for up to 10 points of your quiz grade. In the following three problems, assume that the material is homogeneous, linear isotropic elastic, with Young’s modulus E=200 GPa.
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Unformatted text preview: Problem 1: Hibbeler 6-43 + for each loading condition (bending moment about the y or the z axes) determine the radius of curvature of the loaded beam, and the values and locations of the maximum tensile strain, and the maximum compressive strain. Problem 2: Hibbeler 6-44 + determine the radius of curvature of the loaded beam, and the values and locations of the maximum tensile strain and the maximum compressive strain. Problem 3: Consider a hollow shaft with the same cross sectional area of the rod in problem 2 above , and with a wall thickness t =0.1in. Determine the stress at points A and B for the same bending moment of problem 2 (300 lb x ft), sketch a 3D view of the stress distribution, determine the radius of curvature of the loaded beam, and the values and locations for the maximum tensile strain and for the maximum compressive strain. t B A 45º...
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