<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The paper presents the problem of bending of the Kirchhoff plate resting freely on the elastic Vlasov subsoil with additional external load <italic>g</italic> 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 <italic>g</italic> 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 <italic>g</italic> beyond the plate boundary) depending on the distance in the x-axis direction of this load were calculated.</p>
</abstract>

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.

Approximated Calculation of the Kirchhoff Plate Resting on the Vlasov Foundation with Selected Boundary Conditions

Warsaw University of Life Sciences – SGGW

Acta Scientiarum Polonorum Architectura

This work is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License.

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...

Approximated Calculation of the Kirchhoff Plate Resting on the Vlasov Foundation with Selected Boundary Conditions

Published Online: Nov 20, 2021

Page range: 11 - 18

Received: Jul 05, 2021

Accepted: Aug 24, 2021

DOI: https://doi.org/10.22630/aspa.2021.20.3.21

Keywords
Kirchhoff plate, Vlasov foundation, work of forces, plate deflection

© 2021 Konstantin Rusakov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License.

Approximated Calculation of the Kirchhoff Plate Resting on the Vlasov Foundation with Selected Boundary Conditions

Published Online: Nov 20, 2021

Page range: 11 - 18

Received: Jul 05, 2021

Accepted: Aug 24, 2021

DOI: https://doi.org/10.22630/aspa.2021.20.3.21

KeywordsKirchhoff plate, Vlasov foundation, work of forces, plate deflection

© 2021 Konstantin Rusakov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License.

Keywords
Kirchhoff plate, Vlasov foundation, work of forces, plate deflection