Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

12.6 FORCE COUPLES TO MAKE CENTERLESS MOMENTS

 

· Sometimes we are faced with moments that are in awkward positions, We can move these by replacing them with forces and moments in new positions. (Force couples also allow us to rotate the effects of moments)

 

· Keep in mind that couples cause rotation only, without any translation.

 

· Consider the basic force couple,

 

 

 

 

· A force couple acts about an axis. In the previous example the axis was out of the page. The axis can be moved to any position on the rigid body, as long as the direction is maintained. This axis of the couple will be perpendicular to the plane of the forces.

 

· A sample problem is given using a rope pulling a wedge ([Hibbeler, 1992], prob 4-81, pg. )

 

 

 

· Try the problem below,

 

 

· Consider the stress element that was seen earlier in the stress section

 

 

 

12.6.1 Moving Forces and Equivalent Force Moments

12.6.2 Practice Problems

12.6.3 References