A theoretical solution is presented for the variation of collapse load with changes in geometry of a rigid-plastic circular plate under uniform compression, which furnishes an upper bound on the behaviour of such a plate. The solution is obtained by assuming an arbitrary form for the distribution of plastic hinges in the plate at finite deflection and minimizing the applied load with respect to the assumed mechanism to obtain the required load-deflection relationship.
Get full access to this article
View all access options for this article.
References
1.
MerchantW.1956Brit. Welding J., vol. 3, September, ‘Frame Instability in the Plastic Range’.
2.
MurrayN. W.1956Min. Proc. Instn civ. Engrs, vol. 5, Part III, ‘Determination of the Collapse Loads of Rigidly Jointed Frameworks with Members in which the Axial Forces are Large’.
3.
SherbourneA. N.1961J. Mech. Engng Sci., vol. 3, No. 2, p. 133, ‘Elastic, Post-buckling Behaviour of a Simply Supported Circular Plate’.
4.
HodgeP. G.1959‘Plastic Analysis of Structures’, pp. 252, 304 (McGraw-Hill Book Co., Inc., New York).
