File:On the Resistance to Torsion of Certain Forms of Shafting, with Special Reference to the Effect of Keyways (1900) (14778984394).jpg

Identifier: philtrans05546449 (find matches)
Title: On the Resistance to Torsion of Certain Forms of Shafting, with Special Reference to the Effect of Keyways
Year: 1900 (1900s)
Authors: Filon, L.
Subjects: Proceedings of the Royal Society of London Philosophical Transactions of the Royal Society
Publisher: Royal Society of London

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F ng, b. F <^ 8 until J when the angle between the asymptotes of the hyperbolas ia less than 73^, thegreatest stress always occurs ab th^ neck of the section. The limiting case of such sections, when the angle between the asymptotes is verysmall and the eccentricity of the ellipse nearly unity, the distance between the focibeing very great, gives us the rectangle. I then pass on to the section bolmded by one ellipse and one confocal hyperbola.In the limiting case when the foci coincide, v/e obtain the sector of a circle. VOL. cxcm.—A, 2 s 314 ME. L. N. G. FILOK ON THE RESISTANCE TO Of this I have Avorkecl out immerically three cases, m each case taking two elHpses (1.) The semi-ellipse (fig. 6). (2.) The ellipse with a key way cut into it of the shape of a rectangular confocalhyperbola (fig. 7), (3.) The ellipse with a single slit cut into it (fig. 8), The most striking of the results is in reference to the reduction of the torsionalrigidity of the ellipse in case (3). This reduc

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