Abstract

Exact solutions for stresses, strains, and displacements of a perforated rectangular plate by a central circular hole subjected to linearly varying in-plane normal stresses on two opposite edges are investigated by two-dimensional theory of elasticity using the Airy stress function . The hoop stresses , strains, and displacements occurring at the edge of the circular hole are computed and plotted. Comparisons are made for the stress concentration factors for several types of linearly varying in-plane loading. • We analyze perforated plates by a central circular hole. • The plate is subjected to linearly varying in-plane normal stress. • We use the two-dimensional theory of plane elasticity using the Airy stress function. • We obtain exaction solutions for stress, strain, and displacement.

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