State of Stress of Castellated Beams with Circular Apertures under Distributed Load and Pure Bending

Abstract

The regularities of stress distribution in perforated beams with circular apertures under distributed load and pure bending. Such beams are made of different materials: carbon fiber is used in aircraft for these purposes, and steel is used in construction. Beams with different perforation parameters were considered and an empirical relation was obtained for equivalent von Mises stresses in castellated beams near the apertures’ outlines based on the analysis of FEM calculations. In this paper, beams made of C345 steel were considered. It is established that the maximum values ​​of equivalent stresses near apertures under different loading types vary along the beam length in proportion to the values ​​of the bending moment. The values ​​of stress concentration coefficients for the pure bending are determined depending on the perforation parameters. The acceptability of the obtained empirical dependencies for equivalent stresses was verified using the FEM calculations based on the ANSYS software package. There is a good correlation between the results of FEM calculations and empirical dependence.