assn9 - 1.050: Beam Elasticity (HW#9) Due: November 14,...

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9 ) Due: November 14, 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 the beam elasticity model. Where appropriate, display your responses graphically in form of free body force, moment, rotation, and deflection diagrams. 1. Area Moments of Inertia : For the given isosceles triangle cross-section, determine the following quantities: a. The zero-order area moment, S (this represents the cross-sectional area). b. The centroid of the cross-section in the z -axis, z c . c. The first-order area moment, S z . d. The second-order area moment, I zz . r
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assn9 - 1.050: Beam Elasticity (HW#9) Due: November 14,...

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