The analysis of deflection curves at the unsymmetrical bending

Abstract

The paper is devoted to the issue of accurate and approximate solution of deflection of beams at unsymmetrical bending. This article freely follows from the work [1], which demonstrated a possibility of solution of deflection curves with use of vector functions of scalar variable. It derived also accurate and approximate differential equation of deflection curve and compared the results of accurate and approximate solution of deflections using the example of simple fixed-end beam, which was however loaded by planar bending. This article deals with an example of unsymmetrical bending and it compares the results of accurate and approximate solutions not only of deflections, but also of size of radii of the first and second curvature at individual points of the fixed-end beam loaded by unsymmetrical bending.