Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on it

Abstract

The problem of the stress-strain state of the beam located on an inhomogeneous Winkler foundation is considered. It is accepted that the value of the coefficient of elasticity of the foundation has a symmetrical character relative to the middle of the beam and within the beam is represented by a quadratic law. The single-span beams with hinged supports along the edges are considered. For the calculation of beams on various types of symmetrically applied loads was used the program complex "Lira" and also Ritz-Timoshenko variational method. In the second case, the calculation was performed in Excel. Examples of calculation of short and long beams are considered. The effect of the degree of heterogeneity of the base on the deflections and bending moments of the beam under the action of concentrated and distributed loads is shown.