1 1 Mechanical Model for the Shear Strength of Steel Fibers Reinforced 2 Concrete Beams (SFRC) without Stirrups 3 Antonio Marì Bernat 1 , Nino Spinella 2 , Antonino Recupero 3 , Antoni Cladera 4 4 1 [email protected], Universitat Politècnica de Catalunya, Department of Civil and Environmental Engineering, 5 Campus Nord - Jordi Girona, Barcelona, Spain 6 2 [email protected], Department of Engineering, University of Messina, C. da di Dio 1, Vill. Sant’Agata, 7 Messina, Italy – Orcid: 0000-0002-2594-2016 8 3 [email protected], Department of Engineering, University of Messina, C. da di Dio 1, Vill. Sant’Agata, 9 Messina, Italy 10 4 [email protected], Department of Phisycs, University of the Balearic Islands, Cra. de Valldemossa km. 7.5, 11 Palma, Illes Balears, Spain 12 13 ABSTRACT 14 Numerous studies have shown that adding steel fibers to the concrete mixture improves both the shear 15 strength and ductility of reinforced concrete beams. Most current shear design formulations for steel 16 fiber reinforced concrete beams are empirically based and their predictions provide acceptable results 17 when compared with tests results, but only in limited ranges of the parameters involved. On the other 18 hand, many shear theoretical models suggested in the literature are derived by extending previous 19 formulations for conventional reinforced concrete beams, just introducing the stresses transferred across 20 the critical shear crack. Since the effects of steel fibers on the others shear resisting mechanisms are not 21 accounted for, “adjusting” empirical factors must be used to fit the experimental results. There is, 22 therefore, the need for developing mechanical models capable to rationally account for the effects of 23 steel fibers on the global shear strength and on each shear resisting mechanisms. 24 In this paper, the previously derived and validated Multi Action Shear Model for RC elements is 25 extended to steel fibers reinforced concrete beams without stirrups. The effects of steel fibers on each 26 resisting mechanism have been identified and incorporated in the formulation of each shear component 27 and in the Multi-Action Shear Model equilibrium equations. The residual tensile stresses of fibrous 28
Mechanical Model for the Shear Strength of Steel Fibers Reinforced Concrete Beams (SFRC) without Stirrups
May 17, 2023
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