Lecture No21-22

# Lecture No21-22 - Lecture No 21 22 Subject Equilibrium of a...

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Subject: Equilibrium of a Rigid Body (Three Dimensions) Objectives of Lecture: To show how to solve rigid body (three dimensional) problems using the F.B.D. and the equations of equilibrium 21-22.1 Support Reactions of a Rigid Body in Three Dimensions

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21-22.2 Equations of Equilibrium for a Rigid Body in Three Dimensions (a) Vector Equations of Equilibrium ΣF = 0, Eq. 1 ΣM O = 0, Eq. 2 Where ΣF =vector sum of all the external forces acting on the body ΣM O =vector sum of the couple moments and the moments of all the forces about any point O (b) Scalar Equations of Equilibrium ΣF = Σ F X i+ Σ F y j+ Σ F z k= 0 Σ F X = 0, Eq. 1 Σ F Y = 0, Eq. 2 Σ F Z = 0, Eq. 3 ΣM O = Σ M X i+ Σ M y j+ Σ M z k =0 Σ M X = 0, Eq. 4 Σ M Y = 0, Eq. 5 Σ M Z = 0, Eq. 6 Σ F X , Σ F Y F Z = Algebraic sum of the external force components acting in the X, Y, and Z directions Σ M X , Σ M Y M Z = Algebraic sum of the moment components about the X,Y, and Z axes 3

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## This note was uploaded on 03/30/2011 for the course ENGINEERIN 127 taught by Professor Finch during the Spring '08 term at Rutgers.

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Lecture No21-22 - Lecture No 21 22 Subject Equilibrium of a...

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