Bending Problem for an Infinite Plate containing Three Circular Holes in a Row

Abstract

In this paper, as a paticular case of the present writer's general solution for a problem of generalized plane stress distributions in an infinite plate containing circular holes of varing sizes in any positions under the action of bending moment, a solution for the same problem but containing three circular holes in a row is obtained and discussed in detail using the method of Green's general bi-harmonic analysis and some numerical results respectively. Comparing these results with those obtained for the similar problems for an infinite plate containing (1) a singular hole treated by Dr. Tsuzi and (2) an infinite row of holes reported by the present writer, somewhat clear knowledge with respect to the influence of the presence of holes upon the stresses in a stressed plate etc. are obtained.