Virtual-Work Principle

Physical Principle

Let $S$ be a system in static equilibrium.

Let $S$ undergo an infinitesimal displacement consistent with the constraints on $S$.

Then the total work done on $S$ equals zero.


Proof


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Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): virtual-work principle
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): virtual-work principle