Equivalent force-couple system (conceptual)

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SUMMARY

The discussion focuses on calculating the equivalent force-couple system for three forces acting at different points in a 3D space, specifically about point D. One of the forces is aligned with point D, resulting in no moment contribution about that point. Participants confirm that the correct approach involves summing all forces and moments, with the resultant force applied at point D, simplifying the process due to the zero moment from the aligned force.

PREREQUISITES
  • Understanding of 3D force systems
  • Knowledge of moment calculation in mechanics
  • Familiarity with vector addition of forces
  • Concept of equivalent force-couple systems
NEXT STEPS
  • Study the principles of vector addition in 3D mechanics
  • Learn about calculating moments about a point in 3D space
  • Explore equivalent force-couple system transformations
  • Review examples of force-couple systems in engineering mechanics
USEFUL FOR

Students and professionals in mechanical engineering, particularly those involved in statics and dynamics, as well as anyone working with force systems in 3D environments.

jaredmt
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on a 3d graph i have 3 forces in different places pointing different directions. I am supposed to find the equivalent force-couple system about some point D. but 1 of the forces is aligned with point D and therefore creates no moment about D.

how would i do this? Do i just find the moment of all the forces about point D and then put the Resultant of the 3 forces on D?
 
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Hi jaredmt! :smile:
jaredmt said:
on a 3d graph i have 3 forces in different places pointing different directions. I am supposed to find the equivalent force-couple system about some point D. but 1 of the forces is aligned with point D and therefore creates no moment about D.

how would i do this? Do i just find the moment of all the forces about point D and then put the Resultant of the 3 forces on D?

Yup … add all the forces, and add all the moments …

if one of them is zero, that saves you time … so have a cup of tea! :biggrin:
 

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