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Week4_2 - ENGR210 Fall 2011 1 ENGR210 Fall 2011 4.6 Moment...

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ENGR210, Fall 2011 1
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ENGR210, Fall 2011 2 4.6 Moment of a couple A couple is defined as two equal-and-opposite forces separated by a perpendicular distance. Therefore, there are no net force effects (translational), but generate a moment (rotational). This moment is called a couple moment. The computation method is similar to the case of a moment of a force. For a scalar formulation,
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ENGR210, Fall 2011 3 For a vector formulation, In the right figure, vector r can be from any point (A) to any point (B) on the lines of action. A few important things: The direction of a couple moment follows the right-hand-rule. Although the vector equation (i.e., M = r x F ) indicates that the position vector r ( r AB in the figure) seems necessary for computation, the couple moment can be also computed as a resultant moment of each force at any point (e.g., about O).
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ENGR210, Fall 2011 4 A couple moment is a free vector, and it can act at any point on a body.
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