Hostname: page-component-84b7d79bbc-tsvsl Total loading time: 0 Render date: 2024-08-01T10:11:42.675Z Has data issue: false hasContentIssue false

The Stresses in a uniform circular ring subject to symmetric radial loading

Published online by Cambridge University Press:  22 September 2016

F.J. Budden*
Affiliation:
15 Westfield Avenue, Gosforth, Newcastle-upon-Tyne NE3 4YH

Extract

In the general case suppose that the radial forces are of magnitude P and that the angle between adjacent forces is 2α (so that α = 20° in the above figure). Consider the portion YY′ of the ring, as in the left-hand figure below. From a consideration of the rotational symmetry of the ring, it is evident that the tensions at Yand Y′are equal, these being marked T in the figure. Similarly, if the shear force at Y is Stowards the centre O, then that at Y′ is S away from the centre. Moreover, the bending moments at Y and Y′ are equal and opposite. These are marked M in the left-hand figure.

Type
Research Article
Copyright
Copyright © Mathematical Association 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)