Abstract
This paper presents the analysis of linear elastic trusses proposed by Valentino Cerruti in his graduation thesis. While Cerruti is famous among rational mechanicians, very little is known on this work of his. We will consider the work in some detail, putting into evidence the main subjects dealt with by the author: redundant trusses and uniform resistance. We will also provide a comparison with his contemporaries and some critical comments.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
Cerruti V (1873) Intorno ai sistemi elastici articolati. Thesis, Bona, Torino
Castigliano CA (1873) Intorno ai sistemi elastici. Thesis, Bona, Torino
Castigliano CA (1879) Théorie de l’équilibre des systèmes élastiques et ses applications. Negro, Torino
Benvenuto E (1981) An introduction to the history of structural mechanics. Springer, New York
Charlton TM (1982) A history of theory of structures in the nineteenth century. The University Press, Cambridge
Timoshenko SP (1953) History of strenght of materials: with a brief account of the history of theory of elasticity and theory of structures. McGraw-Hill, New York
Navier CLMH (1826) Résumé des leçons données à l’École des Ponts et Chaussées sur l’application de la mécanique à l’établissement des constructions et des machines. Didot, Paris
Lévy M (1873) Mémoire sur l’application de la théorie mathématique de l’élasticité à l’étude des systèmes articulés formés de verges élastiques. Comptes Rendus 76:1059–1063
Lévy M (1874) La statique graphique et ses applications aux constructions. Gauthier-Villars, Paris
Clerk Maxwell J (1864) On reciprocal figures and diagrams of forces. Philos Mag 27:250–261
Clerk Maxwell J (1890) Scientific papers, vol 1. Cambridge University Press, Cambridge, pp 514–525
Clerk Maxwell J (1864) On the calculation of the equilibrium and stiffness of frames. Philos Mag 27:294–299
Clerk Maxwell J (1890) Scientific papers, vol 1. Cambridge University Press, Cambridge, pp 598–604
Clerk Maxwell J (1870) On reciprocal figures, frames, and diagrams of forces. Trans R Soc Edinb 26:1–40
Clerk Maxwell J (1872) Proc R Soc Edinb 7:53–56
Clerk Maxwell J (1890) Scientific papers, vol 2. Cambridge University Press, Cambridge, pp 161–207
Poisson SD (1836) Traité de mécanique. Bachelier, Paris (1st ed. 1831)
Clebsch RFA (1862) Theorie der Elasticität fester Körper. Teubner, Leipzig
Clebsch RFA (1883) Théorie de l’élasticité des corps solides, traduite par MM. de Saint-Venant et Flamant, avec des Notes étendues par M. de Saint-Venant. Dunod, Paris
Menabrea LF (1858) Nouveau principe sur la distribution des tensions dans les sistèmes élastiques. C R Séances Acad Sci Paris 46:1056–1061
Menabrea LF (1871) Étude de statique physique: principe général pour déterminer les pressions et les tensions dans un système élastique (1865). Mem R Accad Sci Torino, Ser 2 25:141–178
Menabrea LF (1870) Sul principio di elasticità. Atti R Accad Sci Torino 5:686–710
Menabrea LF (1875) Sulla determinazione delle tensioni e delle pressioni ne’ sistemi elastici. Atti R Accad Lincei Roma, Ser 2 2:201–225
Mohr O (1874) Beitrag zur Theorie der Bogenfachwerksträger. Z Arch- Ing Ver Hannover 20:223–238
Cayley A (1857) Solution of a mechanical problem. Q J Math 1:405–406
Cayley A (1890) In: Cayley’s collected papers, vol. 3. Cambridge University Press, Cambridge, pp 78–80
Capecchi D, Ruta G (2010) A historical perspective of Menabrea’s theorem in elasticity. Meccanica 45:199–212
Author information
Authors and Affiliations
Corresponding author
Additional information
The authors acknowledge the partial support of the grant “Progetto di ricerca d’Università” 2009, “Sapienza” University, Rome.
Rights and permissions
About this article
Cite this article
Capecchi, D., Ruta, G. Cerruti’s treatment of linear elastic trusses. Meccanica 46, 1283–1298 (2011). https://doi.org/10.1007/s11012-010-9385-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11012-010-9385-x