No abstract

A mathematical model of the static bending of a beam interacting with an elastic Winkler base, which perceives only compressive loads, is considered. When constructing the model, the method of initial parameters was used with the involvement of the state vectors of the beam sections and the matrices of the influence of the initial parameters on the state of arbitrary sections. Two options for fastening a beam to some part of the base are considered: a free beam and a cantilever.