Effect of steel fibers and the fiber-concrete adhesion stress on the nonlinear shear behavior of beams

Authors

  • Djaloul Zarga
  • Abderahman Younsi

DOI:

https://doi.org/10.54021/seesv5n1-091

Keywords:

shear, steel fibers, reinforced concrete, adhesion stress, beams

Abstract

In this article, a theoretical model in nonlinear elasticity is presented to analyze the influence of the percentage of steel fibers and the effect of the fiber-concrete bond stress on the shear force at the rupture of beams subjected to the combined effect of bending moment, normal force, and shear force. For a given beam section, it is defined by a succession of layers of concrete and longitudinal steel elements. Each layer is defined by its height hi, width bi, and position relative to one end of the section YGi. Each longitudinal steel element is also defined by its cross-sectional area and position relative to one end of the section. The steel fibers are defined by volume percentages of 0.5%, 1%, 1.5%, and 2%, taking into account the mechanical nonlinearity of the materials. This model is based on the multilayer analysis of sections and an iterative solution procedure for each layer and each section, considering a given longitudinal deformation state and shear stress. The global equilibrium of the sections is analyzed under the assumption of flat longitudinal deformations but with, in principle, an interdependence of longitudinal normal stresses and shear stresses. In this study, using the principle of virtual work, equilibrium equations for deformations and stresses, as well as partial compatibility equations between concrete deformations and mean deformations, are derived. Comparative examples between ordinary reinforced concrete beams with variable shapes and reinforcement details, and those reinforced with steel fibers, are presented to demonstrate the accuracy of the proposed model for simulating the nonlinear shear response of beams.

References

ARAÚJO, D. D. L. et al. Shear strength of steel fiber-reinforced concrete beams. Acta Scientiarum. Technology, v. 36, n. 3, p. 389, 26 fev. 2014. https://doi.org/10.4025/actascitechnol.v36i3.19005

BARTOS, P. Review paper: Bond in fibre reinforced cements and concretes. International Journal of Cement Composites and Lightweight Concrete, v. 3, n. 3, p. 159–177, ago. 1981. https://doi.org/10.1016/0262-5075(81)90049-X

BATSON, G. Steel fiber reinforced concrete. Materials Science and Engineering, v. 25, p. 53–58, set. 1976. https://doi.org/10.14359/7151

BELARBI, A.; HSU, T. T. C. Constitutive Laws of Concrete in Tension and Reinforcing Bars Stiffened By Concrete. ACI Structural Journal, v. 91, n. 4, 1 jul. 1994. https://doi.org/10.14359/4154

BISCHOFF, P. H. Effects of shrinkage on tension stiffening and cracking in reinforced concrete. Canadian Journal of Civil Engineering, v. 28, n. 3, p. 363–374, 1 jun. 2001. https://doi.org/10.1139/l00-117

BISWAS, R. K. et al. Effects of Steel Fiber Percentage and Aspect Ratios on Fresh and Harden Properties of Ultra-High Performance Fiber Reinforced Concrete. Applied Mechanics, v. 2, n. 3, p. 501–515, 21 jul. 2021. https://doi.org/10.3390/applmech2030028

CAI, G. et al. Shear capacity of steel fibre reinforced concrete coupling beams using conventional reinforcements. Engineering Structures, v. 128, p. 428–440, dez. 2016. https://doi.org/10.1016/j.engstruct.2016.09.056

CHU, W. W. L.; CONWAY, H. D. Bond stresses in composites with overlapping fibers. International Journal of Mechanical Sciences, v. 12, n. 9, p. 761–774, set. 1970. https://doi.org/10.1016/0020-7403(70)90051-2

COHEN, L. J.; ROMUALDI, J. P. Stress, strain and displacement fields in a composite material reinforced with discontinuous fibers. Journal of the Franklin Institute, v. 284, n. 6, p. 388–406, dez. 1967. https://doi.org/10.1016/0016-0032(67)90214-1

DINH, H. H.; PARRA-MONTESINOS, G. J.; WIGHT, J. K. Shear Strength Model for Steel Fiber Reinforced Concrete Beams without Stirrup Reinforcement. Journal of Structural Engineering, v. 137, n. 10, p. 1039–1051, out. 2011. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000362

VECCHIO, F. J.; COLLINS, M. P. The Modified Compression-Field Theory for Reinforced Concrete Elements Subjected to Shear. ACI Journal Proceedings, v. 83, n. 2, 1 mar. 1986. https://doi.org/10.14359/10416

FRITIH, Y. et al. Flexural and shear behavior of steel fiber reinforced SCC beams. KSCE Journal of Civil Engineering, v. 17, n. 6, p. 1383–1393, set. 2013. https://doi.org/10.1007/s12205-013-1115-1

FURLAN, S.; DE HANAI, J. B. Shear behaviour of fiber reinforced concrete beams. Cement and Concrete Composites, v. 19, n. 4, p. 359–366, 1997. https://doi.org/10.1016/S0958-9465(97)00031-0

GOMES, L. D. D. S. et al. Experimental analysis of the efficiency of steel fibers on shear strength of beams. Latin American Journal of Solids and Structures, v. 15, n. 7, 16 jul. 2018. https://doi.org/10.1590/1679-78254710

GRELAT, A. Comportement non linéaire et stabilité des ossatures en béton armé. In: Annales de L’institut Technique du Bâtiment et des Travaux Publics Paris. Paris: 1978.

HAMOODI, A. Z. Shear behavior of fiber-reinforced concrete beams: an experimental study. International Journal of GEOMATE, v. 21, n. 86, 1 out. 2021. https://doi.org/10.21660/2021.86.j2263

ISLAM, M. M. et al. Finite Element Analysis of Steel Fiber Reinforced Concrete (SFRC): Validation of Experimental Shear Capacities of Beams. Procedia Engineering, v. 90, p. 89–95, 2014. https://doi.org/10.1016/j.proeng.2014.11.819

JINDAL, R. L. Shear and Moment Capacities of Steel Fiber Reinforced Concrete Beams. ACI Symposium Publication, v. 81, 1 nov. 1984. https://doi.org/10.14359/6443

KACHI, M. S. Modeling the behavior until rupture beams with external prestressing. Thesis (Doctorate) — University of Tizi Ouzou, Algeria, 2006.

KRENCHEL, H. Fiber Reinforced Brittle Matrix Materials. 1974. https://doi.org/10.14359/17886

LANTSOGHT, E. O. L. Theoretical model of shear capacity of steel fiber reinforced concrete beams. Engineering Structures, v. 280, p. 115722, abr. 2023. https://doi.org/10.1016/j.engstruct.2023.115722

LIM, D. H.; OH, B. H. Experimental and theoretical investigation on the shear of steel fibre reinforced concrete beams. Engineering Structures, v. 21, n. 10, p. 937–944, out. 1999. https://doi.org/10.1016/S0141-0296(98)00049-2

NAVARRO-GREGORI, J. et al. Experimental study on the steel-fibre contribution to concrete shear behaviour. Construction and Building Materials, v. 112, p. 100–111, jun. 2016. https://doi.org/10.1016/j.conbuildmat.2016.02.157

R. NARAYANAN AND I. Y. S. DARWISH. Use of Steel Fibers as Shear Reinforcement. ACI Structural Journal, v. 84, n. 3, 1 maio 1987. https://doi.org/10.14359/2654

RÈGLES BAEL. Règles techniques de conception et de calcul des ouvrages et constructions en béton armé suivant la méthode des états limites, 1999.

ROSSI, P. Mechanical behaviour of metal-fibre reinforced concretes. Cement and Concrete Composites, v. 14, n. 1, p. 3–16, jan. 1992. https://doi.org/10.1016/0958-9465(92)90034-S

SARGIN, M. M. Stress-strain relationships for concrete and the analysis of structural concrete sections. 1971. https://doi.org/10.1016/j.istruc.2024.105940

TAHENNI, T.; CHEMROUK, M.; LECOMPTE, T. Effect of steel fibers on the shear behavior of high strength concrete beams. Construction and Building Materials, v. 105, p. 14–28, fev. 2016. https://doi.org/10.1016/j.conbuildmat.2015.12.010

VECCHIO, F. The response of reinforced concrete to in-plane shear and normal stresses. Publication, n. 82, 1982.

ZHAO, L.; CHEN, G.; HUANG, C. Experimental investigation on the flexural behavior of concrete reinforced by various types of steel fibers. Frontiers in Materials, v. 10, p. 1301647, 30 nov. 2023. https://doi.org/10.1016/j.conbuildmat.

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Published

2024-05-14

How to Cite

Zarga, D., & Younsi, A. (2024). Effect of steel fibers and the fiber-concrete adhesion stress on the nonlinear shear behavior of beams. STUDIES IN ENGINEERING AND EXACT SCIENCES, 5(1), 1809–1830. https://doi.org/10.54021/seesv5n1-091