Lecture 11 - Lecture 11 EQUATIONS OF EQUILIBRIUM...

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Statics: Lecture Notes for Sections 5.6,5.7 1 Lecture 11 * EQUATIONS OF EQUILIBRIUM * CONSTRAINTS FOR A RIGID BODY Section5657 Section 5.6-5.7 Ehab Zalok Objective : Students will be able to: a) Identify support reactions in 3-D and draw a free body diagram, and, b) apply the equations of equilibrium. 2
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Statics: Lecture Notes for Sections 5.6,5.7 2 EQUATIONS OF EQUILIBRIUM (Section 5.6) 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 3 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 . Those forces do not appear in the moment equation since they pass through the point. Thus, they do not appear in the equation. CONSTRAINTS FOR A RIGID BODY Redundant Constraints : When a body has more supports than necessary to hold it in equilibrium it becomes statically 4 necessary to hold it in equilibrium, it becomes statically indeterminate.
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This note was uploaded on 02/28/2011 for the course MATH 101 taught by Professor Duke during the Spring '11 term at University of Ottawa.

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Lecture 11 - Lecture 11 EQUATIONS OF EQUILIBRIUM...

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