Acta Scientiarum Polonorum

The paper presents the problem of bending of the Kirchhoff plate resting freely on the elastic Vlasov subsoil
with additional external load g to the subsoil applied near the transverse edge of the plate. The presented
example is a special case of a plate resting freely on an elastic subsoil, it is common in construction industry.
It was considered approximately, how an additional soil load g applied along the y-axis affects the deflection
of a plate resting freely on the Vlasov foundation. Deflection diagrams of the plate and the surface of the
elastic foundation outside the plate boundaries have been obtained. The diagrams of deflection of the plate
middle surface and the displacements of the soil surface beyond the plate boundaries (in the transverse and
longitudinal directions, taking into account the additional load g beyond the plate boundary) depending on
the distance in the x-axis direction of this load were calculated.