Acta Scientiarum Polonorum

The paper presents equations of theory of plates resting on elastic subsoil. Theories of thin and medium thickness
plates applied to subsoils with one and two parameters, including Vlasov’s and Winkler’s subsoils, were
analysed. The case of placing a “self-balancing” load on the edge of a half-band resting on the Vlasov’s and
Winkler’s elastic subsoils was considered. It was proved that the so-called boundary effect occurs only in
medium thickness plates and plates resting on Winkler’s one-parameter and Vlasov’s two-parameter elastic
subsoils. The influence of the Poisson’s ratio of the plate material on the deflection and cross-section forces
in the plate half-band resting on subsoil was analysed. The solutions obtained using Hencky–Bolle’s theory
applied to plate half-band on Winkler’s and Vlasov’s subsoils were compared.