The paper considers a model of interaction between a fixed-end ice plate and an inclined structure. Previously, the problem had been solved in the formulation with failure of ice under the action of either vertical or a horizontal horizontal load. This paper presents the equations for calculating the deflection and stresses in a fixed-end ice plate, as well as their numerical analysis when loads are applied to the center of the plate in two perpendicular directions. The article analyzes how the angle of inclination of a structure and proportion of the length and the width of an ice plate contribute to the maximum stresses created by the vertical and horizontal loads.


The study and proper description of the interaction between ice cover and an engineering structure is one of the main tasks of ice engineering. Mathematical modeling of such interaction requires solving a number of problems:

– determining the physical and mechanical properties of ice for a given type of deformation and determining ice destruction criteria among the already given once;

– developing proper physical and mathematical description of the nature of ice cover failure when interacting with a structure using the selected failure criteria, as well as the models of ice fragments motion along a structure and around it;

– developing a method for predicting ice load on an engineering structure based on mathematical modelling.

Bending strength is considered as one of the most important mechanical properties of ice. This parameter is usually determined experimentally with a vertical load applied to the end of a cantilever beam (Frederking et al, 1985), (ITTC, 2014). Apart from determining internal parameters, it is possible to evaluate the applicability of the data and criteria obtained from the cantilever beam experiment to some more complex loading conditions, for example, to the problem of an ice plate with two fixed ends.

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