In practical applications, plates are often not supported along their boundaries. Properly located interior supports can greatly increase the load-carrying capacity of a plate. The optimal locations of N point symmetrical support for a uniformly loaded circular plate are calculated to substantiate the claim. The solutions are obtained for 1 ≤ N ≤ ∞ under the theory of limit analysis of plates. The collapse load in each case is maximized by a search for the optimal support location.

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