Chapter_05_3 - 03/16/10 Chapter 5 1 Chapter 5 - Equilibrium...

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Unformatted text preview: 03/16/10 Chapter 5 1 Chapter 5 - Equilibrium of a Rigid Body 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 3D Equilibrium 03/16/10 Chapter 5 4 F y F x F z Ball and Socket 03/16/10 Chapter 5 5 03/16/10 Chapter 5 6 03/16/10 Chapter 5 7 03/16/10 Chapter 5 8 03/16/10 Chapter 5 9 03/16/10 Chapter 5 10 03/16/10 Chapter 5 11 03/16/10 Chapter 5 12 03/16/10 Chapter 5 13 03/16/10 Chapter 5 14 03/16/10 Chapter 5 15 03/16/10 Chapter 5 16 03/16/10 Chapter 5 17 03/16/10 Chapter 5 18 03/16/10 Chapter 5 19 03/16/10 Chapter 5 20 03/16/10 Chapter 5 21 03/16/10 Chapter 5 22 Equations of Equilibrium x y z O x y z F F i F j F k M M i M j M k = = + + = = + + v v 03/16/10 Chapter 5 23 Equations of Equilibrium x y z F F F = = = 03/16/10 Chapter 5 24 Equations of Equilibrium x y z M M M = = = 03/16/10 Chapter 5 25 Constraints 1. Redundant Constraints: More supports or constraints than are needed. Statically indeterminate problem. 03/16/10 Chapter 5 26 03/16/10 Chapter 5 27 03/16/10 Chapter 5 28 Constraints 1. Improper Constraints: Enough supports but perhaps in wrong directions leading to instability. 03/16/10 Chapter 5 29 03/16/10 Chapter 5 30 03/16/10 Chapter 5 31 03/16/10 Chapter 5 32 03/16/10 Chapter 5 33 03/16/10 Chapter 5 34 03/16/10 Chapter 5 35 Important Points 1. Draw FBD first....
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Chapter_05_3 - 03/16/10 Chapter 5 1 Chapter 5 - Equilibrium...

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