Stresses in Isotropic and Anisotropic Beams Having Holes

Abstract

A theoretical analysis of stresses is presented for isotropic and anisotropic beams having holes. The beams are loaded by pure bending or cantilever bending. In the case of an isotropic body, the coefficients of mapping function are able to take a sufficient number of terms for an opening of arbitrary shapes in beams. Numerical examples are shown for the cases of isotropic beams with a hole of square, rectangular or hexagonal shape, and for the case of orthotropic beams with a hole of circular or elliptical shapes. The results obtained are valid, if the hole is small in size compared with the height of the beam.