Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Torsion of hollow cylinders


Author: R. C. F. Bartels
Journal: Trans. Amer. Math. Soc. 53 (1943), 1-13
MSC: Primary 73.2X
MathSciNet review: 0010115
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] A. G. Greenhill, Fluid motion between confocal elliptic cylinders and confocal ellipsoids, Quart. J. Math. Oxford Ser. vol. 16 (1879) pp. 227-256.
  • [2] A. E. H. Love, A treatise on the mathematical theory of elasticity, 4th edition, London, 1927, pp. 310-328.
  • [3] H. M. Macdonald, On the torsional strength of a hollow shaft, Proc. Cambridge Philos. Soc. vol. 8 (1893) pp. 62-68.
  • [4] Rosa M. Morris, The internal problems of two dimensional potential theory, Math. Ann. 117 (1939), 31–38. MR 0001154 ( 1,188b)
  • [5] N. Muschelisvilli, Sur le problème de torsion des cylindres elastique isotropes, Rendiconti della Reale Accademia die Lincei (6) vol. 9 (1929) pp. 295-300.
  • [6] B. R. Seth, On the general solution of a class of physical problems, Philosophical Magazine (7) vol. 20 (1935) pp. 632-640.
  • [7] I. S. Sokolnikoff and E. S. Sokolnikoff, Torsion of regions bounded by circular arcs, Bull. Amer. Math. Soc. 44 (1938), no. 6, 384–387. MR 1563753, http://dx.doi.org/10.1090/S0002-9904-1938-06759-6
  • [8] A. C. Stevenson, Flexure with shear and associated torsion in prisms of uni-axial and asymmetric cross-sections, Transactions of the Royal Society of London (A) vol. 237 (1938) pp. 161-229.
  • [9] E. Trefftz, Über die Torsion prismatische Stäbe von polygonalem Querschnitt, Math. Ann. vol. 82 (1921) pp. 97-112.
  • [10] H. Villat, Le problème de Dirichlet dans une aire annulaire, Rend. Circ. Mat. Palermo vol. 33 (1912) pp. 134-173; p. 147.
  • [11] E. Weinel, Das Torsionsproblem für den exzentrischen Kriesring, Ingenieur Archiv vol. 3 (1932) pp. 67-75.
  • [12] L. Prandtl, Zur Torsion von prismatischen Stäben, Physikalische Zeitschrift, vol. 4 (1903) pp. 758-770.
  • [13] A. A. Griffith and G. I. Taylor, The use of soap films in solving torsion problems, Reports and Memoranda, (n.s.), no. 333, June 1917. Technical Report of the Advisory Committee for Aeronautics (British) for 1917-1918, vol. 3.
  • [14] G. W. Trayer and H. W. March, The torsion of members having sections common in aircraft construction, National Advisory Committee for Aeronautics, report no. 334, 1930.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 73.2X

Retrieve articles in all journals with MSC: 73.2X


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1943-0010115-7
PII: S 0002-9947(1943)0010115-7
Article copyright: © Copyright 1943 American Mathematical Society