The study of the stress-strain state and bearing capacity of compressed reinforced concrete elements of the annular section is of urgent importance, considering the ever-growing need to improve and optimise infrastructure facilities, such as bridges and supports, to ensure their reliability and safety. The purpose of this study is to investigate and analyse the stress-strain state of compressed reinforced concrete elements of annular section in order to determine their bearing capacity and improve the efficiency of design and construction of infrastructure facilities. The analytical method, classification, functional, statistical, synthesis, and other methods used in the paper should be highlighted. Compressed reinforced concrete elements of annular cross-section are widely used in various fields of engineering and construction. However, since the 90s of the 20th century, there has been a noticeable development of nonlinear deformation theory for the calculation of reinforced concrete structures, which complicates the analysis due to the specific features of round and annular sections and leads to the absence of simple analytical methods. This study presents an effective numerical technique for investigating the stress-strain state and bearing capacity of non-centrally compressed elements, using a linear fractional dependence for concrete under compression, approved in the Eurocode, and a symmetrical two-line diagram of reinforcement deformation. It is important to emphasise that this methodology avoids the need to classify elements as short or long, and to separately account for small and large eccentricities, as these aspects are automatically considered in the calculations. Confirmation of the effectiveness of this technique was obtained through the results of numerical experiments. The practical significance of this research lies in the development of more accurate and reliable methods for calculating and designing compressed reinforced concrete elements of annular section, which contributes to increasing the safety and durability of infrastructure facilities and reducing the risk of destruction