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Download E-books Plane Elastic Systems (Ergebnisse der angewandten Mathematik) PDF

By Louis M. Milne-Thomson

In an epoch-making paper entitled "On an approximate answer for the bending of a beam of oblong cross-section below any method of load with precise connection with issues of targeted or discontinuous loading", acquired via the Royal Society on June 12, 1902, L. N. G. FlLON brought the thought of what was once hence known as through LovE "general­ ized airplane stress". within the comparable paper FlLO~ additionally gave the basic equations which show the displacement (u, v) when it comes to the advanced variable. the 3 simple equations of the speculation of KoLOsov (1909) which was once thus built and more suitable via MUSKHELISHVILI (1915 and onwards) might be derived at once from Filon's equations. The derivation is indicated through FlLO)!E~KO-BoRODICH. even if FILO)! proceeded right away to the genuine variable, traditionally he's the founding father of the fashionable concept of the applying of the advanced variable to airplane elastic difficulties. the strategy was once built independently by way of A. C. STEVEXSOX in a paper obtained through the Royal Society in 1940 yet which was once no longer released, for defense purposes, till 1945.

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