Shear Behaviour of RC Beams: A Numerical Study

Abstract

A two-dimensional (2D) nonlinear finite element (FE) model created for reinforced concrete (RC) beams is presented in this paper. The FE model was verified in order to perform further parametric studies on RC beams with and without existing steel shear links. The parameters were tension reinforcement ratio, concrete compression strength, and beam size. Moreover, the accuracy of “Turkish Standards 500: Requirements for design and construction of reinforced concrete structures (TS500)” in terms of predicting the total shear force capacity of RC beams was examined. The FE model properly captured the experimental load capacity, with a mean value of 1.04. The increase in overall shear force capacity caused by the increasing tension reinforcement ratio from 1.79 to 3.33% was 18.3% for RC beams with existing steel shear links, whereas it was 10.6% for RC beams without existing steel shear links. The total shear force capacities of RC beams with and without steel shear links increased once concrete compression was increased from 30 to 70 MPa. An increasing beam size resulted in a reduction in shear stress at failure of 33.8% and 32.7% for RC beams with and without shear links, respectively. TS500 design code gave conservative results in calculating the overall shear force capacity of RC beams.

Keywords

• beam
• Concrete
• Design
• Finite Element
• Shear

Kaynakça

1. [1] ACI Committee 445 on Shear and Torsion (1998). Recent approaches to shear design of structural concrete. Journal of Structural Engineering. 124(12):1375-1417. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:12(1375)
2. [2] Bažant, Z. P. (1997). Fracturing truss model: size effect in shear failure of reinforced concrete. Journal of Engineering Mechanics. 123 (12): 1276-1288. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:12(1276)
3. [3] Sogut, K., Dirar, S., Theofanous, M., Faramarzi, A. (2019, June 4-7). Size effect in shear-deficient reinforced concrete T-beams strengthened with embedded FRP bars. The 14th International Symposium on Fiber-Reinforced Polymer Reinforcement for Concrete Structures, (FRPRCS-14), Belfast, UK.
4. [4] Söğüt, K. (2022). Numerical investigation on DE-strengthened-RC beams without steel shear reinforcement. Journal of Structural Engineering & AppliedMechanics.5(4):238-248. https://doi.org/10.31462/jseam.2022.04238248
5. [5] Bažant, Z.P., Kim J.K. (1984). Size effect in shear failure of longitudinally reinforced beams. ACI Journal Proceedings. 81 (5): 456-468.
6. [6] Benzeguir, Z.E.A., El-Saikaly, G., Chaallal, O. (2019). Size effect in RC T-beams strengthened in shear with externally bonded CFRP sheets: experimental study. ASCE Journal of Composites for Construction.23(6):04019048. https://doi.org/10.1061/(ASCE)CC.1943-5614.0001045
7. [7] TS 500: Requirements for design and construction of reinforced concrete structures, TSE (Turkish Standards Institute), Ankara, Turkey, 2014.
8. [8] Wong, P.S., Vecchio, F.J., Trommels, H. (2013). VecTor2 & FormWorks User’s Manual (2nd edition). The University of Toronto.

9. [9] Vecchio, F.J. (2020). Disturbed stress field model for reinforced concrete: formulation. ASCE Journal of Structural Engineering. 126(9):1070-1077. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:9(1070)
10. [10] Elsanadedy, H.M., Al-Salloum, Y.A., Almusallam, T.H., Alshenawy, A.O., Abbas, H. (2019). Experimental and numerical study on FRP-upgraded RC beams with large rectangular web openings in shear zones, Construction and Building Materials. 194:322-343. https://doi.org/10.1016/j.conbuildmat.2018.10.238
11. [11] Jeong, C.Y., Kim, H.G., Kim, S.W., Lee, K.S., Kim, K.H. (2017). Size effect on shear strength of reinforced concrete beams with tension reinforcement ratio. Advances in Structural Engineering.20(4):582-594. https://doi.org/10.1177/1369433216658486
12. [12] Syroka-Korol, E., Tejchman, J. (2014). Experimental investigations of size effect in reinforced concrete beams failing by shear. EngineeringStructures.58:63–78. https://doi.org/10.1016/j.engstruct.2013.10.012
13. [13] El-Sayed, A. K., Shuraim, A. B. (2016). Size effect on shear resistanceof high strength concrete deep beams. Materials and Structures. 49 (5): 1871–1882. https://doi.org/10.1617/s11527-015-0619-1