Resultant of Three Forces and a Moment?

AI Thread Summary
To find the resultant force of three forces (Fx, Fy, Fz) and a moment (Mx), it is essential to sum the forces and moments separately. The proposed formula for the magnitude is only valid if the moment is excluded. For accurate results, one should calculate the resultant force using the formula sqrt(Fx^2 + Fy^2 + Fz^2) and the moment using sqrt(Mx^2). This approach ensures that both forces and moments are appropriately accounted for in the resultant calculations. Properly separating these components is crucial for accurate graphing of multiple resultants.
Smijo
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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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