Plane Elastic Systems

Released on by Louis M. Milne-Thomson
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  • Plane Elastic Systems Book Detail

  • Author : Louis M. Milne-Thomson
  • Release Date : 2013-06-29
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 220
  • ISBN 13 : 3642878709
  • File Size : 72,72 MB
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Plane Elastic Systems by Louis M. Milne-Thomson PDF Summary

Book Description: In an epoch-making paper entitled "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load with special reference to points of concentrated or discontinuous loading", received by the Royal Society on June 12, 1902, L. N. G. FlLON introduced the notion of what was subsequently called by LovE "general ized plane stress". In the same paper FlLO~ also gave the fundamental equations which express the displacement (u, v) in terms of the complex variable. The three basic equations of the theory of KoLOsov (1909) which was subsequently developed and improved by MUSKHELISHVILI (1915 and onwards) can be derived directly from Filon's equations. The derivation is indicated by FlLO)!E~KO-BoRODICH. Although FILO)! proceeded at once to the real variable, historically he is the founder of the modern theory of the application of the complex variable to plane elastic problems. The method was developed independently by A. C. STEVEXSOX in a paper received by the Royal Society in 1940 but which was not published, for security reasons, until 1945.

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Plane Elastic Systems

Plane Elastic Systems

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In an epoch-making paper entitled "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load with special refer

Antiplane Elastic Systems

Antiplane Elastic Systems

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The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. L