Analytical Calculation of Beams on Winkler's Variable Elastic Foundation

Abstract

Calculation formulas are given in the analytical form, which allow to study the bending of beams on a non-homogeneous solid Winkler elastic foundation. An example demonstrates the practical application of the developed method. The case is considered when the bed coefficient changes according to a parabolic law, and the variable distributed load acting on the beam is given by a linear law. The results of the calculation by the author's method are presented in numerical and graphical formats. For comparison, the calculation results obtained by the finite element method are also provided.