Stress Analysis Non Standard of Curved Beams

Abstract

This article contains the results of a study aimed at examining the stress analysis of a curved beam with a rectangular cross section with a neutral-line which is contained in a plane π. The forces that load the beam are located in the plane π. Bending moments have pseudovectors perpendicular to the same plane. These kinds of loads do not stress the beam with any torsion effect. Bending moment M, shear force T and axial force N are available at each point P of the beam. Stresses σ and τ are obtained without calculating the deformed line (today, however, the Finite Element Method demands this kind of calculation). In fact, non standard stress analysis allows to calculate all the strains and stresses whilst only knowing the values of M, N, T and of the bending-radius ρn of the neutral-line at a given point in the neutral-line.

Key words: Elastic stability; Curved beam; Stress analysis; Non standard stress analysis