assn11 - 1.050: Energy Bounds in Elasticity (HW#11) Due:...

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1.050: Energy Bounds in Elasticity (HW#11) Due: Friday, December 7, 2007 MIT – 1.050 (Engineering Mechanics I) Fall 2007 Instructor: Markus J. BUEHLER Team Building and Team Work: We strongly encourage you to form Homework teams of three students. Each team only submits one solution for correction. We expect true team work, i.e. one where everybody contributes equally to the result. This is testified by the team members signing at the end of the team copy a written declaration that "the undersigned have equally contributed to the homework". Ideally, each student will work first individually through the homework set. The team then meets and discusses questions, difficulties and solutions, and eventually, meets with the TA or the instructor. Important: Specify all resources you use for your solution. The following set of exercises is designed to familiarize you with the use of energy bounds in linear elasticity. This problem set is focused on 3D methods and applications to beam structures and you will be able to apply the techniques you have learned in Lectures 30, 31 and 32. Please review the lecture notes and handouts carefully. 1. Warm-up problem: a simple beam structure: The sketch below shows a statically indeterminate beam of length L , clamped at x = 0, and simply supported at the other end. The beam is subjected to a concentrated load
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assn11 - 1.050: Energy Bounds in Elasticity (HW#11) Due:...

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