Betti's theorem
Teorema de Maxwell-Betti
- Date
- 1872 · confidence high
- Place
- Pisa, Italy
- Credited to
- Enrico Betti
- Field
- Cosmos & Earth
What was discovered
Reciprocity theorem by Enrico Betti stating that, in a linear elastic structure, the work done by one set of forces through the displacements produced by another set equals the reciprocal work; foundation of the boundary element method.
What it led to
- Boundary element method in structural engineering
- Calculation of influence lines in bridges and structures
- Design of compliant mechanisms via topology optimization