Deformation of a rectangular plate with an arbitrarily located circular hole under in-plane pure shear loading

Yeong-Bin Yang and Jae-Hoon Kang

Abstract

Exact solutions for stresses, strains, displacements, and the stress concentration factors of a rectangular plate perforated by an arbitrarily located circular hole subjected to in-plane pure shear loading 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 hoop stresses and the stress concentration factors from the present study and those from a rectangular plate with a circular hole under uni-axial and bi-axial uniform tensions and in-plane pure bending moments on two opposite edges.

Key Words

perforated plate; stress concentration factor; non-central hole; in-plane pure shear; hoop stress; airy stress function; exact solution

Address

Yeong-Bin Yang: Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan; School of Civil Engineering, Chongqing University, Chongqing 400045, China Jae-Hoon Kang: Department of Architectural Engineering, Chung-Ang University, Seoul 156-756, Republic Korea

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