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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

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