ECS221L11

# ECS221L11 - Equilibrium of Rigid Bodies A necessary and...

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Equilibrium of Rigid Bodies A necessary and sufficient condition for equilibrium of a rigid body is for the resultant force and moment about a point to vanish.

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… more Equilibrium: R = F = 0 , M OR = M O = 0 F x = 0 F y = 0 F z = 0 M Ox = 0 M Oy = 0 M Oz = 0 Six equations to solve for 6 unknowns.
Relation of Moments at Different Points Move R to another point O’. M O ’ = r’ × R = (r+s) × R = M O + s × R R = 0 , M O = 0 M ’=0 , O’ any point. R O r O’ s r

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Planar Equilibrium Equilibrium: R = F = 0 M OR = M O = 0 Position vectors, forces lie in x-y plane, moment vector perpendicular to plane. Three equations for three unknowns. F x = 0 F y = 0 M Oz = 0
Loads and Reactions Loads are contact or action-at-a- distance forces that are applied, and therefore controllable. Reactions are forces that develop in response to loads, typically at supports of a structure.

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The Free Body Diagram
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## This note was uploaded on 04/02/2012 for the course ECS 221 taught by Professor Macnamara during the Fall '08 term at Syracuse.

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ECS221L11 - Equilibrium of Rigid Bodies A necessary and...

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