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

<p>The paper presents the problem of bending of a beam uniformly loaded along its entire length, resting freely on an elastic Vlasov foundation with an additional external load <italic>G</italic> applied to the ground at a distance <italic>a</italic> from the beam end. The given example is a special case of a beam resting freely on an elastic foundation, which is present in many cases of building practice. The paper considers an approximate solution for the influence of an additional load <italic>G</italic> on the deflection and cross-sectional forces of a beam resting freely on Vlasov elastic subsoil. Graphs of a deflection of the beam and of a soil surface layer beyond the limits of the beam, as well as graphs of bending moments and transverse forces in the beam have been presented. The influence of an additional load applied in a distance <italic>a</italic> on the deflection and cross-sectional forces in the beam has been investigated.</p>
</abstract>

The paper presents the problem of bending of a beam uniformly loaded along its entire length, resting freely on an elastic Vlasov foundation with an additional external load G applied to the ground at a distance a from the beam end. The given example is a special case of a beam resting freely on an elastic foundation, which is present in many cases of building practice. The paper considers an approximate solution for the influence of an additional load G on the deflection and cross-sectional forces of a beam resting freely on Vlasov elastic subsoil. Graphs of a deflection of the beam and of a soil surface layer beyond the limits of the beam, as well as graphs of bending moments and transverse forces in the beam have been presented. The influence of an additional load applied in a distance a on the deflection and cross-sectional forces in the beam has been investigated.

Elastic Beam Resting on Vlasov Elastic Foundation and Subjected to an External Concentrated Load

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 a beam uniformly loaded along its entire length, resting freely on an elastic Vlasov foundation with an additional...

Elastic Beam Resting on Vlasov Elastic Foundation and Subjected to an External Concentrated Load

Published Online: Mar 12, 2022

Page range: 29 - 35

Received: Nov 12, 2021

Accepted: Dec 08, 2021

DOI: https://doi.org/10.22630/aspa.2021.20.4.32

Keywords
elastic beam, Vlasov foundation, cross-sectional forces, beam deflection, displacement disappearance function

© 2021 Mykola Nagirniak et al., published by Sciendo

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

Elastic Beam Resting on Vlasov Elastic Foundation and Subjected to an External Concentrated Load

Published Online: Mar 12, 2022

Page range: 29 - 35

Received: Nov 12, 2021

Accepted: Dec 08, 2021

DOI: https://doi.org/10.22630/aspa.2021.20.4.32

Keywordselastic beam, Vlasov foundation, cross-sectional forces, beam deflection, displacement disappearance function

© 2021 Mykola Nagirniak et al., published by Sciendo

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

Keywords
elastic beam, Vlasov foundation, cross-sectional forces, beam deflection, displacement disappearance function