A History of the Theory of Elasticity and of the Strength of Materials Volume 2, PT. 1; From Galilei to the Present Time

by Isaac Todhunter

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1893 ...argument. Other experiments on caoutchouc differ widely from Clapeyron's. See our Art. 1322. 611. Clapeyron in the course of his discussion notes that the shear in a case of torsional stress gives rise to two principal tractions making angles of 45 with the direction of the shear, hence he states that the torsional resilience =$TV/E. This is only true for the case of uni-constant isotropy. We see from our Arts. 493 (c) and 609 that in this case the resiliences of torsional, flexural and tensile springs of the same volume and material are as 24: 5: 16. 612. J. H. On the Oscillations of a Siispension Chain. Transactions of the Cambridge Philosophical Society, Vol. ix., pp. 379-98, Cambridge, 1856. This paper was read on December 8, 1851. It does not presuppose elasticity in the chain and so does not properly belong to our subject, but the general conclusions on p. 395 as to the vibrations of suspension bridges are of considerable interest. 613. P. van der Ueber die Art Klangfiguren hervorzubringen und Bemerkungen iiber die longitudinalen Schwingungen, Annalen der Physik, Bd. cm. S. 620-4, Leipzig, 1858. This paper 1 For example the slide modulus of india-rubber as determined by torsion and by pure slide experiments must be shown to have the same value as if it had been obtained by experiments on compressibility and traction. Roughly, from Clapeyron's experiments I find n-5 kilogrammes per square centimetre. contains miscellaneous information with regard to vibrating bars and plates. In particular the author recommends the following plan as leading to very correct Man stellt namlich einen Stab senkrecht auf eine Klangscheibe, fasst Urn in der Mitte mit der vollen linken Hand fest an, driickt ihn ziemlich stark auf die Scheibe, und...

266 pages, Paperback

First published January 28, 2010

About the author

English mathematician known for his writings on the history of mathematics.