About the authors

First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | Ilya V. Grishin, assistant, Kazan State University of Architecture and Engineering, Kazan, Russian Federation. Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Rashit A. Kayumov, doctor of physical-mathematical sciences, professor, Kazan State University of Architecture and Engineering, Kazan, Russian Federation. Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it |

Title of the article | Simplified multilayered slab equation describing asphalt concrete pavements of metal bridges |

Abstract. | Problem statement. One of the main problems in asphalt concrete pavements of metal bridges with an orthotropic slab is crack appearance in asphalt pavement above the main beams of superstructures. However, at the moment there is no developed method for selecting the geometric and physical-mechanical parameters of such structures. In particular, there is no universally recognized and comprehensively studied calculation model that allows determining the stress-strain state in asphalt concrete pavements of bridges. Taking into account that the bridge deck is, in fact, a multilayer slab, and the methods for calculating single-layer slabs using the Kirchhoff-Love hypothesis are well developed for various loading and boundary conditions only for homogeneous plates, the purpose of this study is to reduce the problem of calculating a multilayer slab to solving the equation, similar to the Sophie-Germain equation. Result. The equation similar to the Sophie-Germain equation was obtained, which made it possible to describe the operation of multilayer slabs. At the same time, preliminary calculations showed that if Poisson,s ratios differ from the average value by no more than 10%, the results obtained by the proposed method and those obtained in certified software products differ by no more than 5%. Conclusions. Assuming a hypothesis about equality of Poisson,s ratios allows us to introduce the concept of a neutral surface for a multilayer slab and determine its location. In this case, the problem of calculating a multilayer slab is reduced to solving an equation similar to the Sophie-Germain equation, with the introduction of the concept of reduced cylindrical stiffness. The possibility of applying this type of equations to the analysis of bridge structures is confirmed by previous studies. |

Keywords. | bridge deck, asphaltic pavements of bridges, Sophie-Germain equation, Kirchhoff-Love hypothesis, multilayered slabs |

For citations: | Grishin I.V., Kayumov R.A. Simplified multilayered slab equation describing asphalt concrete pavements of metal bridges // News KSUAE 2022 №4 (62), p.119-128, DOI: 10.52409/20731523_2022_4_119, EDN: FDJBZY |