assn6 - 1.050 Beam Stress-Strength Models(HW#6 Due MIT...

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b 1.050: Beam Stress-Strength Models (HW#6) Due: October 24, 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 train you in the use of equilibrium and strength models for 2-D beam-type structures. Display your responses graphically in form of free body moment, shear force, and axial force diagrams. 1. Wood beam design problem : The sketch below shows a cantilever beam structure supporting a punching bag of mass m at its free end (point C). The deadweight of structural members is neglected in this exercise. L / 2 C h L / 4 B P schematic of connection at point B L B b A h
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Due: Wednesday – October 24, 2007 (In class) Page 2 of 5 a) Determine the moment, shear force and axial force along the beam’s axis A-B-C. b) The beam section is a wooden rectangular section of height h and width b (see sketch, right side). The wood is assumed to obey the Tresca strength material law. As a function of the structural dimensions ( L ), the section dimensions ( h , b ) and the uniaxial wood strength
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assn6 - 1.050 Beam Stress-Strength Models(HW#6 Due MIT...

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