COLLAPSE LOAD CALCULATION FOR AXISYMMETRICALLY LOADED CIRCULAR PLATES OF UNIFORM THICKNESS
Keywords:
Classical method, Circular plate, Axisymmetrically loaded plate, Tresca’s yield theory.Abstract
The general problem of limit analysis is the determination of the flow limit for a given structure under given types of
loading ; the load intensity at the flow limit is called the “ load carrying capacity ” of the structure. This research is concerned with
the determination of the load carrying capacity of thin circular plates made of a plastic-rigid material that obeys TRESCA‟S yield
condition and the associated flow rule.The discussion is restricted to rotationally symmetric types of loading and edge support :
both simply supported and built-in plates are considered, and the load is supposed to be uniformly distributed over either a central
circular region or an annular region that extends up to the edge. For conciseness, the detailed analysis is presented only in certain
typical cases, and otherwise only the final results are given. The problems studied in this paper are, of course, only particular cases
of the general problem of determining the load carrying capacity of a plate of arbitrary shape under an arbitrary type of loading.
However, it is felt that from the study of such particular cases experience can be gained that will suggest ways of attacking the
general problem.
