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DOI: 10.15862/06SATS325 (https://doi.org/10.15862/06SATS325)

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Zasukhin I.V., Kobelev K.V., Nerovnykh A.A. Improving the calculations of bridge pier foundations by applying the Boussinesq problem solution for a concentrated force on a discretized section. Russian Journal of Transport Engineering. 2025; 12(3). Available at: https://t-s.today/PDF/06SATS325.pdf (in Russian). DOI: 10.15862/06SATS325

Improving the calculations of bridge pier foundations by applying the Boussinesq problem solution for a concentrated force on a discretized section

Ilya V. Zasukhin, Kirill V. Kobelev, Aleksey A. Nerovnykh

Siberian Transport University, Novosibirsk, Russia

Corresponding author: Aleksey A. Nerovnykh, e-mail: aleksey@nerovnykh.ru

Abstract. The calculation of bridge pier foundations is a critically important task, which determines the durability of structures and traffic safety. The main difficulties are associated with the correct modeling of stress distribution in the soil due to pressure under the foundation base. Currently, numerical methods are actively used to solve these problems; however, their complexity and laboriousness can significantly increase the design time and cost. This underscores the need to develop more efficient approaches to calculation.

In soil mechanics, the Boussinesq mathematical model is widely used, which allows for the estimation of deformation and stresses in an elastic material under the influence of a concentrated force. However, existing regulatory documents do not offer solutions for foundations of various shapes, which creates gaps in calculations. As a result, for asymmetric and complex sections, there are no clear recommendations, which complicates design and can lead to errors in assessing the bearing capacity.

The article proposes an approach to calculating vertical stresses in soil, which allows for avoiding the shortcomings of existing methods, providing more accurate results with less labor input. The formula developed by the authors for determining the minimum area of elementary platforms and the possibility of accounting for an arbitrary pressure distribution on the soil open new horizons for application in design. This can significantly improve the accuracy of calculations for the strength of the underlying layer and the settlement of piers, which is an important step in the development of the regulatory framework. The presented methodology has been reflected in the verification calculations of foundations using the PARIS software.

Keywords: Boussinesq problem; foundation; base; bearing capacity; deformations; PARIS; stress dissipation coefficient; discretization; mathematical model

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