CH 4 Lecture Notes ppt

CH 4 Lecture Notes ppt - IS MAINTAINED PROPERTIES OF A...

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CHAPTER 4: ANALYSIS OF A GENERAL SYSTEM OF FORCES In this chapter, we study the following fundamental concepts of MECHANICS

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Moment of Force F at P about Point O Uniqueness of Definition Vector CONCEPT OF A MOMENT: THE EFFECT OF A MOMENT IS TO PRODUCE A TENDENCY OF ROTATION. IT IS DEPENDENT ON ARM VECTOR
Moment of Force F at P about Line aa scalar        = dot produ ct of u n it vector alon g           an d  ˆ        =  aa F O F O aa F M aa M i M = % % % where O is any point on the line aa

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Right-Handed Rule
COUPLE IS A FREE VECTOR MAGNITUDE OF A COUPLE IS MEASURED BY THE MAGNITUDE OF THE MOMENT OF THE COUPLE THE MAGNITUDES AND POINTS OF APPLICATION OF THE FORCES CONSTITUTING A COUPLE ARE IMMETERIAL AS LONG AS THE DIRECTION AND MAGNITUDE OF THE MOMENT VECTOR

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Unformatted text preview: IS MAINTAINED PROPERTIES OF A COUPLE EXAMPLE A COUPLE IS REPRESENTED BY THE TOTAL MOMENT VECTOR OF THE FORCES CONSTITUTING THE COUPLE. IT IS SHOWN BY THE SYMBOL Concept of Equivalent Force System in Mechanics 1. Reduction of a Single Force into a Force and a Couple Total Force at P = 1 2 F F + % % 1 2 ˆ ( ) M M k-% Moment of Couple = An Example Reduce to Equivalent System at A, B and C TOTAL MOMENT O A ( 29 4,2, 2 r OA = =-uuur r Y-component of moment = -40 lbf.ft Direction and sense of the moment vector ( 29 40, 40,40 M r F = =-r r r Unit Vector along is (1,-1,1) M r Condition to form a wrench at P Py Px Pz x y z M M M R R R = = Solution...
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This note was uploaded on 04/30/2009 for the course MAE 210306200 taught by Professor Chatterjee during the Spring '09 term at UCLA.

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CH 4 Lecture Notes ppt - IS MAINTAINED PROPERTIES OF A...

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