The Bending of Thin Uniform Circular Rings: Some Investigations into the Behaviour of Rings under Combined Point and Distributed Loads

Abstract

IT is known that if a thin circular ring is subjected to a uniform normal loading in its own plane, of amount σ per unit length of circumference, it will become elastically unstable when σ=—3B/R3, σ being taken to be positive when acting outwards. The theory on which this result is based assumes that the cross‐sectional dimensions of the ring and the change in radius are small compared with the initial radius, and is the counterpart of the elementary buckling theory of straight compression members. If the ring is initially perfectly circular it remains so at any numerically smaller value of σ, and it remains circular for any positive value of σ.

Citation

Goodey, W.J. (1958), "The Bending of Thin Uniform Circular Rings: Some Investigations into the Behaviour of Rings under Combined Point and Distributed Loads", Aircraft Engineering and Aerospace Technology, Vol. 30 No. 4, pp. 101-108. https://doi.org/10.1108/eb032952