The Load-Carrying Capacity of Circular Plates at Large Deflection

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Abstract
This paper presents an approximate analysis for the load carrying capacities of initially flat circular plates under various loading and edge conditions and subjected to slowly increasing load. As a plate deforms, the carrying capacity is increased as a result of favorable changes in geometry. In this study, the load capacity after finite deflection is estimated by assuming a velocity field based on the boundary conditions and on the incipient velocity field of the flat plate, the analysis being made for a rigid plastic, nonstrain-hardening material that yields according to the maximum shear-stress criterion. In several cases the results obtained compare favorably with test data for mild-steel plates; however, for very thin plates, better agreement is obtained by means of a purely membrane-type analysis, which also is presented.

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