Deflection of beams with sinusoidal perforation

Abstract

The presence of cutouts in the beams’ walls made of steel or from modern composite materials reduces their shear stiffness and increases deflections in comparison with beams of the same size with a solid wall. In this paper, we study the deflections of perforated beams with a sinusoidal shape of cutouts, which are widely used in construction recently. The cutouts’ effect on the perforated beams’ transverse bending was investigated analytically using the theory of composite bars and the finite element method. The aim of this work was to obtain an analytical dependence that allows to reliably evaluate the deformations of the beams with hexagonal cutouts with different angles of rounding. The study was conducted for the beams of different sizes, made by the non-waste technology from a rolling profile. An analysis of the calculating results for the beams made of different materials showed that with a decrease in the material elasticity modulus, the deflections of the beams increase, and a change in the yield strength of the material does not affect the deformation characteristics. The obtained dependence is applicable for the beams with a relative length l/H ≥ 10 at a relative cutouts’ height h / H = 0.667 The discrepancies with FEM results do not exceed 1.5-3%.