Magnitude of the resultant couple, Mechanical Engineering

Magnitude of the resultant couple:

For non-parallel forces also the location of the line of action of resultant may be determined by utilizing R × d = ∑ M o .

The magnitude of the resultant couple is specified by

991_Magnitude of the resultant couple.png

and

cos α x = ∑ Mx / M, cos α y =∑ My/ M, cos α z = ∑ Mz/ M

where ∑ M x , ∑ M y  and ∑ M z are the algebraic sums of the moments of the couples of the system around x, y and z axes, respectively. The angles αx, αy and αz are the angles, the vector representing the couple M makes along with x, y and z axes, respectively.

In particular case of concurrent forces, M = 0.

Posted Date: 1/28/2013 2:36:21 AM | Location : United States







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