K_-_Moment_of_a_Couple

K_-_Moment_of_a_Couple - FORCE SYSTEM FORCE SYSTEM...

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Unformatted text preview: FORCE SYSTEM FORCE SYSTEM RESULTANTS RESULTANTS MOMENT OF A COUPLE MOMENT OF A COUPLE LEARNING OBJECTIVES LEARNING OBJECTIVES Be able to define a couple Be able to define a couple Be able to determine the moment of a Be able to determine the moment of a couple couple PRE-REQUISITE KNOWLEDGE PRE-REQUISITE KNOWLEDGE Units of measurements Units of measurements Trigonometry concepts Trigonometry concepts Vector concepts Vector concepts Rectangular components concepts Rectangular components concepts Moment concept Moment concept Cross product and dot product Cross product and dot product DEFINITION OF COUPLE DEFINITION OF COUPLE A couple is defined as two parallel forces of the same magnitude acting in opposite direction and separated by a constant distance. A moment of a couple (also called free vector) or a couple moment has a constant direction and magnitude regardless of the location of the positions of the forces to the reference point F-F Resultant force of a couple = 0 MOMENT OF A COUPLE MOMENT OF A COUPLE Scalar formulation Scalar formulation Magnitude of couple moment : Magnitude of couple moment : ) )( ( d F M = Where d is the perpendicular distance between the couple forces The direction of the couple moment follows the right-hand rule EXAMPLE - EXAMPLE - (Scalar Formulation) (Scalar Formulation) Determine the magnitude Determine the magnitude and direction of the couple and direction of the couple moment moment Magnitude of couple moment : in 20 . 5 30 cos 6 = = d in-lb 130-) 20 . 5 )( 25 ( ) )( ( = = = d F M MOMENT OF A COUPLE...
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This note was uploaded on 10/31/2010 for the course CEE CE 221 taught by Professor Baladi during the Fall '10 term at Michigan State University.

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K_-_Moment_of_a_Couple - FORCE SYSTEM FORCE SYSTEM...

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