Chapter_05_2

# Chapter_05_2 - Chapter5 Chapter5 1 Objectives 1 2 3

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03/16/10 Chapter 5 1 Chapter 5 -  Equilibrium of a Rigid Body

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03/16/10 Chapter 5 2 Objectives 1. To develop the equations of  equilibrium for a rigid body. 2. To introduce the concept of the free- body diagram for a rigid body. 3. To show how to solve rigid body  equilibrium problems using the  equations of equilibrium.
03/16/10 Chapter 5 3

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03/16/10 Chapter 5 4 2D Equilibrium  Scalar Equations = = = 0 M 0 F 0 F O y x
03/16/10 Chapter 5 5

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03/16/10 Chapter 5 6 2D Equilibrium   Alternative Scalar Equations = = = 0 M 0 M 0 F B A a a is an arbitrary direction A and B must not describe a line to a .
03/16/10 Chapter 5 7 2D Equilibrium   Alternative Scalar Equations = = = 0 M 0 M 0 M C B A A, B, and C must not lie on the same line.

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03/16/10 Chapter 5 8 Procedure for Analysis 1. Free-Body Diagrams 2. Equations of Equilibrium
03/16/10 Chapter 5 9 Free-Body Diagram 1. Select co-ordinate axes. 2. Draw outlined shape isolated or cut “free”   from its constraints and connections. 3. Show all forces and moments acting on  the body. Include applied loadings and  reactions. 4. Identify each loading and give  dimensions. Label forces and moments  with proper magnitudes and directions.  Label unknowns.

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03/16/10 Chapter 5 10 Equations of Equilibrium 1.
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Chapter_05_2 - Chapter5 Chapter5 1 Objectives 1 2 3

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