Resultant of Three Forces and a Moment?

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SUMMARY

The discussion focuses on calculating the resultant of three forces (Fx, Fy, Fz) and a moment (Mx). To accurately determine the resultant force, participants confirm that forces and moments must be summed separately. The correct formula for the magnitude of the resultant force is given as sqrt(Fx^2 + Fy^2 + Fz^2), while the moment is treated independently as sqrt(Mx^2). This distinction is crucial for accurate graphical representation of multiple resultants.

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I'm looking to find the resultant force of three forces and a moment: Fx, Fy, Fz, and Mx. I intend to graph multiple resultants.

Would I just need to do the following to find the magnitude?

Sqrt(((Fx+Mx)^2)+Fy^2+Fz^2)




Thanks
 
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You will need to sum the forces and moments separately.

Your expression is OK for the magnitude of the force --- if the moment is removed.
 
UltrafastPED said:
You will need to sum the forces and moments separately.

Your expression is OK for the magnitude of the force --- if the moment is removed.

Sum them separately as in...

sqrt(Fx^2+Mx^2+Fy^2+Fz^2)
or
sqrt(Fx^2+Fy^2+Fz^2) and sqrt(Mx^2)?
 

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