. The London, Edinburgh and Dublin philosophical magazine and journal of science. mport. When b/a is small the curve cats the major axis very nearits extremity, and between it and the rim lies a very thinarea wherein the radial strain is a compression. This area,though very thin, has a finite thickness, unless ?7 = 0, for .92 Mr. C. Chree on Rotating Elastic finite values of b/a. The curve crosses the rim at but a smalldistance from the end of the major axis, and recrosses it at apoint whose angular distance from the end of the minor axisis not very small. The curve passes through the centrecu
. The London, Edinburgh and Dublin philosophical magazine and journal of science. mport. When b/a is small the curve cats the major axis very nearits extremity, and between it and the rim lies a very thinarea wherein the radial strain is a compression. This area,though very thin, has a finite thickness, unless ?7 = 0, for .92 Mr. C. Chree on Rotating Elastic finite values of b/a. The curve crosses the rim at but a smalldistance from the end of the major axis, and recrosses it at apoint whose angular distance from the end of the minor axisis not very small. The curve passes through the centrecutting the minor axis at a finite angle. Thus, at finitedistances from the centre, there is radial compression every-where in the neighbourhood of the minor axis. This secondarea of radial compression is much more considerable thanthat at the end of the major axis ; but the two areas togetherare a good deal smaller than the area throughout which theradial strain is an extension. This type of curve is illustratedby fig. 1, which answers to b/a=&, tj = 25. Fig. 1.—b/a = As b/a increases the area of radial compression at the endof the major axis expands both in length and thickness. Theangular distance from the minor axis where the curve re-crosses the rim also increases, but the angle at which thecurve cuts the minor axis at the centre diminishes. Thislatter angle eventually vanishes when b/a reaches the valueb2/a of Table VI., and we get the type shown in fig. 2, whichanswers to b/a = 5, rj = 2b. Fig. 2.—b/a=5.
Size: 2283px × 1094px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, bookdecade1840, booksubjectscience, bookyear1840
