Acta Mathematica Academiae Scientiarum Hungarica

, Volume 17, Issue 3–4, pp 419–422

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

  • E. Makai


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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