Lecture_Notes_for_Sections_4.5_4.7

Lecture_Notes_for_Sections_4.5_4.7 - FREE-BODY DIAGRAMS,...

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Unformatted text preview: FREE-BODY DIAGRAMS, EQUATIONS OF EQUILIBRIUM & CONSTRAINTS FOR A RIGID BODY Todays Objective : Students will be able to: a) Identify support reactions in 3-D and draw a free body diagram, and, b) apply the equations of equilibrium. In-Class Activities : Check Homework, if any Reading Quiz Applications Support Reactions in 3-D Equations of Equilibrium Concept Quiz Group Problem Solving Attention quiz READING QUIZ 1. If a support prevents rotation of a body about an axis, then the support exerts a ________ on the body about that axis. A) couple moment B) force C) Both A and B. D) None of the above. 2. When doing a 3-D problem analysis, you have ________ scalar equations of equilibrium. Enter a number corresponding to your answer. APPLICATIONS Ball-and-socket joints and journal bearings are often used in mechanical systems. How can we determine the support reactions at these joints for a given loading? APPLICATIONS (continued) The weights of the fuselage and fuel act through A, B, and C. How will we determine the reactions at the wheels D, E and F ? A 50 lb sign is kept in equilibrium using two cables and a smooth collar. How can we determine the reactions at these supports? SUPPORT REACTIONS IN 3-D (Table 5-2) A few examples are shown above. Other support reactions are given in your text book (Table 5-2). As a general rule, if a support prevents translation 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. IMPORTANT NOTE...
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This note was uploaded on 10/04/2010 for the course ME 214 taught by Professor Lipovetsky during the Summer '06 term at Cal Poly Pomona.

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Lecture_Notes_for_Sections_4.5_4.7 - FREE-BODY DIAGRAMS,...

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