Statics › Section D · Moments and static equivalence › Topic D.6

Moving forces: force-couple systems

Engineers constantly replace one set of loads with a simpler one that the supports cannot tell apart. Some moves are free, but shifting a force off its line of action is not: it needs a couple added to keep the system equivalent.

In this topic

  • What equivalent means
  • Moves you already know
  • Moving a force off its line is not free
  • The add-and-cancel trick
  • Worked example: a bracket on a column
  • Reversing the process
  • Worked example: one force instead of two loads
  • Force-couple systems in 3D
  • Equivalence, not identity
  • Common mistakes to avoid
  • Key takeaways

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