Numerical analysis of the steel fiber reinforced concrete piles and prestressed concrete beam
DOI:
https://doi.org/10.61186/JCER.8.1.1Keywords:
Prestressed concrete beams, Steel fiber-reinforced concrete piles, Nonlinear finite element analysis, Virtual work principle, Constitutive modeling, Experimental validation.Abstract
This paper studies the structural behavior of prestressed concrete beams and steel fiber reinforced concrete piles. A nonlinear finite element formulation based on the principle of virtual work is developed to analyze the response of these prestressed structural elements under applied loads. The model accounts for material nonlinearity, second-order effects, and variable stiffness through an incremental loading procedure. Simpson’s integration scheme is adopted to evaluate the cross-sectional response of each element. The governing equations describing beam behavior are established, and the influence of compressive strength and prestressing force on structural performance is examined. Experimental tests conducted on prestressed concrete beams and steel fiber–reinforced concrete piles are used to validate the proposed approach. A comparison between numerical and experimental results demonstrates the accuracy and reliability of the developed formulation.
References
[1] Bouafia, Y., Kachi, M. S., & Fouré, B. (2002). Relation contrainte-déformation en traction du béton armé de fibres d’acier. Annales du Bâtiment et des Travaux Publics.
[2] Felippa, C. A. (2001). Nonlinear finite element methods. University of Colorado Boulder. (Available at http://www.colorado.edu/engineering/CAS/courses.d/NFEM.d/Home.html )
[3] Albermani, F., Mahendran, M., & Kitipornchai, S. (2004). Upgrading of transmission towers using a diaphragm bracing system. Engineering Structures, 26 (6), 735–744. https://doi.org/10.1016/j.engstruct.2004.01.004
[4] Bouafia, Y. (1991). Résistance à l’effort tranchant des poutres en béton à précontrainte extérieure : étude expérimentale et calcul à la rupture [Thèse de doctorat, École Centrale des Arts et Manufactures, Paris].
[5] Iguetoulene, F., Bouafia, Y., & Kachi, M. S. (2017). Non-linear modeling of three-dimensional reinforced and fiber concrete structures. Frontiers of Structural and Civil Engineering, 11 (3), 293–307. https://doi.org/10.1007/s11709-017-0418-6
[6] Bouafia, Y., Kachi, M. S., & Fouré, B. (1998). Relation contrainte-déformation dans le cas du béton armé de fibres d’acier. Annales du Bâtiment et des Travaux Publics, (2), 5–17.
[7] Grelat, A. (1978). Analyse non linéaire des ossatures hyperstatiques en béton armé [Thèse de docteur-ingénieur, Université Paris VI].
[8] Bazeos, N., & Xykis, C. (2002). Elastic buckling analysis of 3-D trusses and frames with thin-walled members. Computational Mechanics, 29 (6), 459–470. https://doi.org/10.1007/s00466-002-0355-6
[9] Nait-Rabah. (1990). Simulation numérique des ossatures spatiales [Thèse de doctorat, École Centrale de Paris].
[10] Park, S. H., Kim, D. J., Ryu, G. S., & Koh, K. T. (2012). Tensile behavior of ultra high performance hybrid fiber reinforced concrete. Cement and Concrete Composites, 34 (2), 172–184. https://doi.org/10.1016/j.cemconcomp.2011.09.009
[11] Règles B.A.E.L. 91 modifiées 99. (2000). Règles techniques de conception et de calcul des ouvrages et constructions en béton armé suivant la méthode des états limites. Eyrolles.
[12] Riks, E. (1972). The application of Newton’s method to the problem of elastic stability. Journal of Applied Mechanics, 39 (4), 1060–1066. https://doi.org/10.1115/1.3422829
[13] Zhan. (1991). Contribution au dimensionnement des pieux en béton de fibres [Thèse de docteur, Laboratoire C.E.B.T.P.].
[14] Iguetoulene, F., Bouafia, Y., & Kachi, M. S. (2024). Incremental analysis for the nonlinear buckling responses of the reinforced concrete and the steel spatial arch truss structure subjected to displacement dependent loads. International Journal of Structural and Civil Engineering Research, 13 (1), 1–9. (Article in press; DOI may be assigned later.)
[15] Bouafia, Y., Kachi, M. S., & Fouré, B. (2000). Numerical modeling of the behavior of steel fiber reinforced concrete. Proceedings of the II International Conference on Cement and Concrete.
[16] Bouafia, Y., & Adjrad, A. (1997). Utilisation des fibres locales pour renforcement du béton. Séminaire National de Génie Civil, M’sila (Algérie).
[17] Adjrad, A., Kachi, M. S., Bouafia, Y., & Iguetoulene, F. (n.d.). Nonlinear modeling of structures in 3D. Proceedings of the 4th Annual ICSAAM, 1–9.
[18] Benyahi, K., Bouafia, Y., Barboura, S., & Kachi, M. S. (2018). Nonlinear analysis and reliability of metallic truss structures. Frontiers of Structural and Civil Engineering, 12 (4), 577–593. https://doi.org/10.1007/s11709-018-0487-0
[19] Bouchafa, D., Kachi, M. S., Bouafia, Y., Benyahi, K., & Barboura, S. (2021). Numerical simulation and reliability of behaviour until the rupture of reinforced concrete spatial structure members with circular cross section. Journal of Materials and Engineering Structures, 8 (1), 61–82. (May be obtained at http://revue.ummto.dz/index.php/JMES/article/view/2471 )
[20] Jamshidi, M. (2023). The effect of polypropylene fibers on the behavior of fiber self-compacting concrete. Journal of Rehabilitation in Civil Engineering, 11 (2), 85–98. https://doi.org/10.22075/jrce.2022.26076.1582
[21] Parvinnejad, A., Amiri, M., & Dabbagh, H. (2022). Effect of steel and hybrid fibers on the impact resistance of concrete with FRP sheets. Structures, 45 , 163–176. https://doi.org/10.1016/j.istruc.2022.09.004
[22] Kameli, S., Shahi, S., & Mahboob, S. (2024). Investigating mechanical properties of natural fiber-reinforced concrete. Innovative Infrastructure Solutions, 9 , 141. https://doi.org/10.1007/s41062-024-01489-9
[23] Zedan, H. H., & Khan, M. (2023). Modelling fibre reinforced concrete for predicting optimal mechanical properties. Journal of Engineering and Applied Science, 70 , 35. https://doi.org/10.1186/s44147-023-00207-5
[24] Al-Mahaidi, R., & Kalfat, R. (2022). Finite element modelling of reinforced concrete beams strengthened with FRP composites. Composite Structures, 300 , 116158. https://doi.org/10.1016/j.compstruct.2022.116158
[25] Santarella, L. (1919). Efforts secondaires dans les travées à treillis en béton armé. Schweizerische Bauzeitung, 73 (19), 221–223. https://doi.org/10.5169/seals-3409
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