Advertisement

A proof of Saint-Venant's theorem on torsional rigidity

  • E. Makai
Article

Keywords

Torsional Rigidity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    E. Makai, On the principal frequency of a membrane and the torsional rigidity of a beam,Studies in Math. Analysis and related topics (Stanford Univ. Press), 1962, pp. 227–231.Google Scholar
  2. [2]
    E. Makai, A lower estimation of the principal frequencies of simply connected membranes,Acta Math. Acad. Sci. Hung.,16 (1965), pp. 319–323.Google Scholar
  3. [3]
    G. Pólya, Torsional rigidity, principal frequency, electrostatic capacity and symmetrization,Quarterly of Applied Math.,6 (1948), pp. 267–277.Google Scholar
  4. [4]
    G. Pólya andG. Szegő,Isoperimetric inequalities in Mathematical Physics (Princeton Univ. Press, 1951).Google Scholar
  5. [5]
    B. de Saint-Venant, Mémoire sur la torsion des prismes,Mémoires présentés par divers savants à l' Académie des Sciences,14 (1856), pp. 233–560.Google Scholar
  6. [6]
    L. Fejes Tóth, Elementarer Beweis einer isoperimetrischen Ungleichung,Acta Math. Acad. Sci. Hung.,1 (1950), pp. 273–275.Google Scholar

Copyright information

© Akadémiai Kiadó 1966

Authors and Affiliations

  • E. Makai
    • 1
  1. 1.Budapest

Personalised recommendations