Lecture+15

Lecture+15 - 440:221 Intro to Engineering Mechanics:...

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440:221 Intro to Engineering Mechanics: Statics Instructor: Alberto Cuitino TA: Pam Carabetta and Jingru Zhang Lecture 15 Fall 2009 1 Based on Textbook Material: Engineering Mechanics Statics, 12 th Edition, R.C. Hibbeler, Pearson 2010.
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440:221 Lectures quilibrium of a IGID ODY Equilibrium of a RIGID BODY School of Engineering, Fall 2009 2
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440:221 Lectures opics to be covered Topics to be covered • What are redundant constrains? • What are improper constrains? • How do we solved 3D Equilibrium for Rigid Bodies? School of Engineering, Fall 2009 3
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440:221 Lectures quations of Equilibrium ( oE in3D As stated earlier, when a body is in equilibrium, the net force and the Equations of Equilibrium (EoE) in 3D net moment equal zero, i.e., F = 0 and M O = 0 . hese two vector equations can be written as ix scalar equations of 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 he moment equations can be determined about any point Usually 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 School of Engineering, Fall 2009 pp p equation since they pass through the point.
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440:221 Lectures onstraints and tatical eterminacy Constraints and statical determinacy Redundant Constraints : When a body has more supports than
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Lecture+15 - 440:221 Intro to Engineering Mechanics:...

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