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MIT2_72s09_lec03 - MIT OpenCourseWare http/ocw.mit.edu 2.72...

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MIT OpenCourseWare http://ocw.mit.edu 2.72 Elements of Mechanical Design Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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2.72 Elements of Mechanical Design Lecture 03: Shafts
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Schedule and reading assignment Reading quiz Hand forward lathe exercise quiz Topics Finish matrices, errors Shaft displacements Stiffness exercise Reading assignment Shigley/Mischke Sections 6.1–6.4: 10ish pages & Sections 6.7–6.12: 21ish pages Pay special attention to example 6.12 (modified Goodman portion) © Martin Culpepper, All rights reserved 2
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Deflection within springs and shafts
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Shafts, axles and rails © Martin Culpepper, All rights reserved Shafts Rotating, supported by bearings/bushings Dynamic/fluctuating analysis Axles Non-rotating, supported by bearings/bushings Static analysis Rails Non-rotating, supports bearings/bushings Static analysis 4
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Examples drawn from your lathe © Martin Culpepper, All rights reserved 5
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Examples drawn from your lathe © Martin Culpepper, All rights reserved 6
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In practice, we are concerned with © Martin Culpepper, All rights reserved Deflection Stiffness Bearings and stiffness of connectivity points Function of global shaft geometry, sometimes adjacent components Stress Catastrophic failure: Ductile Brittle Fatigue Function of local shaft geometry 7
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What is of concern? © Martin Culpepper, All rights reserved Deflection and stiffness Beam bending models Superposition Load and stress analysis Bending, shear & principle stresses Endurance limit Fatigue strength Endurance modifiers Stress concentration Fluctuating stresses Failure theories Von Mises stress Maximum shear stress
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