Study of Deformations in Statically Indeterminate Beam in Industrial and Shipbuilding Structures

The paper considers the analysis of deformations in a statically indeterminate beam using the example of a ship's keel – an I-beam that plays an important role in ensuring the stability and structure of the vessel. The research is carried out through a combination of theoretical and experimental approaches. The force method was chosen for theoretical analysis as a universal tool for statically indeterminate beams, allowing to estimate deformations and stresses at various points of the beam. It includes the selection of the optimal cross section, which is an advantage of this approach. The finite element method (FEM), implemented using Ansys 2021 R2 PC, is used for experimental analysis and visualization of bending deformation. This method provides a more flexible and powerful tool for analyzing complex structures, taking into account a variety of boundary conditions. The results of the study were compared, and the calculation errors turned out to be minimal and acceptable. The paper emphasizes the importance of conducting such analyses to understand the behavior of structures under loads and ensure their reliability not only in transport, but also in industrial and civil construction.

1. Antonov V. A., Pismenny M. N. (2007) Theoretical Issues of Ship Control. Vladivostok: Maritime State University named after Admiral G. I. Nevelskoy. 78 (in Russian).

2. Didyk A. D., Usov V. D., Titov R. Yu. (1990) Sip Management and Technical Operation. Moscow, Transport Publ. 319 (in Russian).

3. Goncharova E. A. (2023) Application of the Initial Parameters Method for Calculating a Statically Indeterminate Beam with Rigid Embedding. Perspektivnye napravleniya razvitiya mashinostroeniya v oblasti mobil'nykh mashin, tekhnologicheskogo oborudovaniya i energeticheskikh sistem: materialy 79-i SNTK, 17–18 maya 2023 g. [Promising Directions for the Development of Mechanical Engineering in the Field of Mobile Machines, Technological Equipment and Energy Systems: Proceedings of 79th СНТК, May 17–18, 2023]. Minsk, Belarusian National Technical University, 85–90. Available at: https://rep.bntu.by/handle/data/135571 (in Russian).

4. Goncharova S. V., Khvasko V. M. (2019) Mechanics of Materials. Calculation of Statically Indeterminate Beams. Minsk, Belarusian National Technical University. 51. Available at: https://rep.bntu.by/handle/data/62326 (in Russian).

5. Reut L. E. (2021) Statically Indeterminate Systems with Plane Transverse Bending. Minsk, Belarusian National Technical University. Deposited at BNTU on 15.10.2021, No. DEPBNTU-2021-27. Available at: https://rep.bntu.by/handle/data/104396 (in Russian).

6. Vasilevich Yu. V., Reut L. E., Goncharova S. V., Khvas'ko V. M., Chigarev V. A. (2022) Mechanics of Materials. Minsk, Belarusian National Technical University. 181 (in Russian).

7. State Standar 8239–89. Hot-rolled Steel Flange Beams. Rolling Products. Assortment. Ministry of Ferrous Metallurgy of the USSR (1990) (in Russian).

8. Moaveni S. (2003) Finite Element Analysis: Theory and Application with ANSYS. NJ, Pearson Education. 822.

9. Lam Thanh Quang K., Do Thi My D., Truong Van B. (2021) Structural Analysis of Continuous Beam using Finite Element Method and ANSYS software. Materials & Constructions, 11 (2), 42–48. https://doi.org/10.54772/jomc.v11i02.291.

10. Khvasko V. M., Bandara H. M. S. H. (2023) Study of Bending Deformations of a Two-Supported Beam using Ansys 22.2. Informatsionnye tekhnologii v obrazovanii, nauke i proizvodstve: materialy nauch.-tekhn. internetkonferentsii, Minsk, 21–22 noyabrya 2022 g. [Information Technologies in Education, Science and Production: Proceedings of Scientific and Technical Internet-Conference, Minsk, November 21–22, 2022]. Minsk, Belarusian National Technical University, 191–195. Available at: https://rep.bntu.by/handle/data/127990 (in Russian).