O_-_Rigid_Body_Equilibrium_3-D

O_-_Rigid_Body_Equilibrium_3-D - RIGID BODY RIGID BODY...

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Unformatted text preview: RIGID BODY RIGID BODY EQUILIBRIUM 3-D EQUILIBRIUM 3-D Equilibrium of Rigid Body in 3-D Equilibrium of Rigid Body in 3-D LEARNING OBJECTIVES LEARNING OBJECTIVES Be able to identify support reactions in Be able to identify support reactions in 3-D and draw a free body diagram 3-D and draw a free body diagram Be able to identify an indeterminate Be able to identify an indeterminate system system Be able to identify improper constraints Be able to identify improper constraints Be able to apply the equations of Be able to apply the equations of equilibrium equilibrium PRE-REQUISITE KNOWLEDGE PRE-REQUISITE KNOWLEDGE Units of measurement Units of measurement Rectangular component concepts Rectangular component concepts 3-D 3-D x y z M Z M Y M X F F F Conditions for 3-D equilibrium F = F = F = 0.0 SUPPORT REACTIONS IN 3-D As a general rule, if a support prevents movement of a body in a given direction, then a reaction force acting in the opposite direction is developed on the body. Similarly, if rotation is prevented, a couple moment is exerted on the body by the support. Ball & Socket Smooth Surface Support Single Journal Bearing Single Hinge = = = = A single bearing or hinge can prevent rotation by providing a resistive couple moment. However, it is usually preferred to use two or more properly aligned bearings or hinges. Thus, in these cases, only force reactions are generated and there are no moment reactions. SUPPORT REACTIONS IN 3-D – continued = SUPPORT REACTIONS IN 3-D- continued SUPPORT REACTIONS IN 3-D- continued SUPPORT REACTIONS IN 3-D- continued single Hinge Fixed Support ● ● ● ● 3-D EQUILIBRIUM EQUATIONS...
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This note was uploaded on 07/26/2009 for the course CE 221 taught by Professor Buch during the Spring '08 term at Michigan State University.

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O_-_Rigid_Body_Equilibrium_3-D - RIGID BODY RIGID BODY...

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