Кухнюк, О. М. (2023) АПРОКСИМАЦІЯ ПРОГИНІВ ЗГИНАЛЬНИХ ЗАЛІЗОБЕТОННИХ ЕЛЕМЕНТІВ ПІД ДІЄЮ ЗОСЕРЕДЖЕНОГО НАВАНТАЖЕННЯ. Вісник Національного університету водного господарства та природокористування (2(102)). с. 201-213.

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Анотація

Пропонується метод лінійної апроксимації епюри прогинів зігнутих залізобетонних елементів на основі узагальненої інформації по випробуванням залізобетонних балок на згин. Наведено приклад розрахунку, що базується на стандартизованих методиках.

Title in English

APPROXIMATION OF DEFLECTIONS OF FLEXIBLE REINFORCED CONCRETE ELEMENTS UNDER THE ACTION OF CONCENTRATED LOAD

English abstract

Deflection is an important calculation parameter for structures subject to operational loads. The importance of obtaining accurate information about the correctness of the results obtained during experiments or observations of the research object is one of the main parameters for checking the criteria for the performance of the structure and providing reliable solutions for the calculation of such elements. After the appearance of cracks in the body of reinforced concrete elements – the dependence of deflections on the load acquires a certain curvature, which requires additional mathematical and statistical justification. In our opinion, assuming that the flexural reinforced concrete element works within operational load levels – ≈0.8 from the destructive one, the description of the dependence of the deflections on the applied force can be replaced by linear dependences in each of the given areas (see Fig. 1). The proposed linearity technique was based on processing the results of experimental studies conducted by both domestic [3; 4; 8] and foreign researchers [1; 2]. In this article, experimental data obtained by researchers in work [1] were selected for further analysis. For statistical description, the technique of establishing grading dependencies and estimating their errors, given in [6; 7], was used. The theoretical values of the load Ptr corresponding to the experimental values of the deflections were determined based on the results of the research (Table 1) and the standard methodology. The verification of the obtained data was carried out using statistical analysis techniques using the Statistica software package. The obtained results show that when applying the methodology provided for in [6], it is possible to describe the development of deflections by rectilinear sections, divided into certain stages, during the development of deformations of reinforced concrete elements. Stages are understood as sloping areas before and after the formation of cracks in the body of reinforced concrete. As a result, we get a mathematically simple and reliable tool that allows, on the one hand, to check the correctness of the obtained experimental data, and on the other hand, based on the obtained dependencies, it is easy to find the forces that affect similar structures in real operation conditions.

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