Lecture+16 - 440:221 Intro to Engineering Mechanics:...

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440:221 Intro to Engineering Mechanics: Statics 1 Fall 2011 Based on Textbook Material: Engineering Mechanics Statics, 12 th Edition, R.C. Hibbeler, Pearson 2010. Alberto Cuitino, Po Ting Lin Instructors Arturo Villegas Assistants
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440:221 Lectures School of Engineering, Fall 2011 Equilibrium of a RIGID BODY 2
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440:221 Lectures School of Engineering, Fall 2011 Topics to be covered • What are redundant constrains? • What are improper constrains? • How do we solved 3D Equilibrium for Rigid Bodies? 3
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440:221 Lectures School of Engineering, Fall 2011 As stated earlier, when a body is in equilibrium, the net force and the net moment equal zero, i.e., F = 0 and M O = 0 . These two vector equations can be written as six scalar equations of equilibrium (EofE). These are F X = F Y = F Z = 0 M X = M Y = M Z = 0 The moment equations can be determined about any point. Usually, choosing the point where the maximum number of unknown forces are present simplifies the solution . Any forces occurring at the point where moments are taken do not appear in the moment equation since they pass through the point. Equations of Equilibrium (EoE) in 3D
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440:221 Lectures School of Engineering, Fall 2011 Redundant Constraints : When a body has more supports than necessary to hold it in equilibrium, it becomes statically indeterminate. A problem that is statically indeterminate
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This note was uploaded on 09/25/2011 for the course ENGINEERIN 221 taught by Professor Cuitino during the Spring '10 term at Rutgers.

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Lecture+16 - 440:221 Intro to Engineering Mechanics:...

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