N_-_Rigid_Body_Equilibrium_2-D

This simplifies the equilibrium analysis of some

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Unformatted text preview: simplifies the equilibrium analysis of some rigid bodies. EQUATIONS OF EQUILIBRIUM If A body is subjected to a system of forces lie in the x-y plane, then the body is in equilibrium if and only if F 1 the net forces and net moments acting on the body are zero. This 2D condition can be represented by the three scalar equations y F3 F4 O x ∑F X = ∑ FY = ∑ M O = 0.0 F2 where “O” is any arbitrary point. SUPPORT REACTIONS IN 2-D SUPPORT REACTIONS IN 2-D SUPPORT REACTIONS IN 2-D In general, if a support prevents translation of a body in a given direction, a force acts on the body in the opposite direction. Similarly, if rotation is prevented, a couple moment is exerted on the body. Support Reactions in 2-D No support reactions against horizontal translation 100 lb F R1Y R2Y As a general rule, if a support prevents translation of a body in a given direction, then a force is developed on the body in the opposite direction. Similarly, if rotation is prevented, a couple moment is exerted on the body. SUPPORT REACTIONS IN 2-D F . R1Y R2Y RX As a general rule, if a support prevents translation of a body in a given direction, then a force is developed on the body in the opposite direction. Similarl...
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This note was uploaded on 10/31/2010 for the course CEE CE 221 taught by Professor Baladi during the Fall '10 term at Michigan State University.

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