A comparative analysis of theoretical and FEA predictions of the flexural behaviour of beams [Evaluación comparativa entre teoría y FEA en el comportamiento a flexión de vigas]
DOI:
https://doi.org/10.62574/rmpi.v6iespecial.525Keywords:
construction engineering, structural design, civil engineeringAbstract
The study analysed the flexural behaviour of beams by comparing classical Euler-Bernoulli theory, finite element analysis (FEA) and experimental validation; within this framework, the objective was to carry out a comparative assessment of the flexural behaviour of beams using theory and FEA. Using a quantitative approach with an experimental design, deformations and stresses were evaluated in ASTM A36 steel specimens subjected to different loads. The results showed agreement in stresses between theory and FEA, whilst for deformations, FEA underestimated the values and the experimental results slightly overestimated them. Furthermore, a high correlation was found between the methods, validating their consistency. It was concluded that both approaches are complementary in structural analysis.
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References
Bathe, K. J. (2014). Finite element procedures (2nd ed.). Prentice Hall.
Beer, F. P., Johnston, E. R., DeWolf, J. T., & Mazurek, D. F. (2017). Mechanics of materials (7th ed.). McGraw-Hill Education.
Brassey, C. A., & others. (2013). Finite element modelling versus classic beam theory: Comparison and implications. Proceedings of the Royal Society A. https://pmc.ncbi.nlm.nih.gov/articles/PMC3565700/
Budynas, R. G., & Nisbett, J. K. (2020). Shigley’s mechanical engineering design (11th ed.). McGraw-Hill Education.
Chandrupatla, T. R., & Belegundu, A. D. (2019). Introduction to finite elements in engineering (4th ed.). Cambridge University Press.
Craig, R. R. (2018). Mechanics of materials (4th ed.). Wiley.
Fuyad, S. T. M., Al Bari, M. A., Makfidunnabi, M., & Nain, H. M. Z. (2024). Finite element analysis of ratcheting on beam under bending-bending loading conditions. Structural Engineering and Mechanics, 89(1), 23–31. https://doi.org/10.12989/sem.2024.89.1.023
He, W. Y. (2012). Finite element analysis of beam structures based on trigonometric wavelets. Finite Elements in Analysis and Design, 51, 1–12. https://www.sciencedirect.com/science/article/pii/S0168874X11002198
Hibbeler, R. C. (2017). Mechanics of materials (10th ed.). Pearson.
Logan, D. L. (2016). A first course in the finite element method (6th ed.). Cengage Learning.
Moaveni, S. (2015). Finite element analysis: Theory and application with ANSYS (4th ed.). Pearson.
Nguyen, D. D., Dao, S. D., Nguyen, X. T., & Giap, V. T. (2025). Stochastic finite element analysis for static bending beams with a two-dimensional random field of material properties. Applied Sciences, 6(2), 37. https://www.mdpi.com/2673-3951/6/2/37
Norton, R. L. (2019). Machine design: An integrated approach (5th ed.). Pearson.
Peterson, R. E. (2019). Peterson’s stress concentration factors (4th ed.). Wiley.
Pilkey, W. D. (2020). Analysis and design of elastic beams (2nd ed.). Wiley.
Sivasuriyan, A., et al. (2024). Finite element analysis of reinforced concrete beams under static and dynamic loading. Scientific Reports. https://www.nature.com/articles/s41598-024-82537-x
Timoshenko, S. P., & Gere, J. M. (2019). Mechanics of materials (3rd ed.). Van Nostrand Reinhold.
Zienkiewicz, O. C., Taylor, R. L., & Zhu, J. Z. (2013). The finite element method: Its basis and fundamentals (7th ed.). Butterworth-Heinemann.
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