##  [Betti's Reciprocal Theorem](/bettis-reciprocal-theorem) 

  ##  [Betti's Reciprocal Theorem](https://mathlogic.quantumdictionary.io/bettis-reciprocal-theorem-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A reciprocity relation in linear elasticity that states: for two admissible static load systems the work (virtual work or energy) of the first system acting through the displacements produced by the second equals the work of the second acting through the displacements produced by the first.