Partially Loaded Rectangular Plates with Large Deflection

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  • 部分荷重を受ける長方形板の大たわみ
  • ブブン カジュウ オ ウケル チョウホウケイバン ノ オオタワミ

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Abstract

This paper concerns a series solution of the von Karman equations for a symmetrical case of nonlinear bending in which a plate is uniformly loaded only over the central rectangular area. Two kinds of supporting conditions of plates, simply supported and clamped, are treated. By the use of Ritz's method the general equations for evaluating the deflection coefficients are exactly derived. A case of practical interest is the deflection of a plate carrying a single load concentrated in an infinitely small area. Numerical solutions are obtained for the deflections of and the stresses in the plate under shch a load.

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