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Meccanica

, Volume 45, Issue 2, pp 199–212 | Cite as

A historical perspective of Menabrea’s theorem in elasticity

  • Danilo Capecchi
  • Giuseppe Ruta
Article

Abstract

This paper presents the theorem proposed by Luigi Federico Menabrea to study linear elastic redundant systems. Some of Menabrea’s papers on the subject are examined, as well as the criticism and the corrections brought to his first proof. We consider Menabrea’s work in the frame of the studies of his contemporaries; we try to provide a historical and epistemological background for Menabrea’s theorem and for its consequences in modern mechanics.

Keywords

Menabrea’s theorem Linear elasticity Least work 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Dipartimento di ingegneria strutturale e geotecnica“Sapienza” Università di RomaRomaItaly
  2. 2.Dipartimento di ingegneria strutturale e geotecnica“Sapienza” Università di RomaRomaItaly

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