Structural Engineering and Mechanics

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Deflections of reinforced concrete beams with transverse openings of different geometries

  • Kalkan, Ilker (Department of Civil Engineering, Faculty of Engineering and Architecture, Kirikkale University) ;
  • Ceylan, Ece (Ministry of Health) ;
  • Kartal, Saruhan (Department of Civil Engineering, Faculty of Engineering and Architecture, Kirikkale University) ;
  • Baran, Mehmet (Department of Civil Engineering, Faculty of Engineering and Natural Sciences, Ankara Yildirim Beyazit University)
  • Received : 2020.12.28
  • Accepted : 2021.08.30
  • Published : 2021.11.10
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Abstract

The present study pertains to the in-plane bending deflections of reinforced concrete beams with multiple regular transverse openings along the beam length. The total deflections in the beam were obtained from bending deflections and the additional deflections from the Vierendeel panel action. The accuracy of the deflection estimates from the proposed formula were observed to depend on the opening geometry. Among different geometries, the presence of rectangular and parallelogram web openings resulted in the experimental deflections to deviate more considerably from the analytical values due to the stress concentrations around the corners of the openings. Consequently, a multiplier was incorporated into the deflection formula to account for the opening geometry. The new revised formula was found to generate analytical load-deflection curves in close agreement with the experimental ones and service-load deflections close to the FEA values of beams with varying amount of tension reinforcement. The diagonal reinforcement around the openings and the short stirrups in the posts and chords increased the accuracy of the analytical deflection estimates by reducing the undesired additional deformations in the beam due to the poorer integrity of the posts and chords around the openings.

Keywords

Acknowledgement

Certain parts of this paper present a condensation of the thesis prepared at Kirikkale Uni., Kirikkale, Turkey by Ms Ece Ceylan under super-vision of Assoc. Prof. Dr. Ilker Kalkan toward the degree of MSc.

References

  1. Abdel-Kareem, A.H. (2014), "Shear strengthening of reinforced concrete beams with rectangular web openings by FRP composites", Adv. Concrete Constr., 2(4), 281-300. http://doi.org/10.12989/acc.2014.2.4.281.
  2. ACI Committee 318 (1995), Building Code Requirements for Structural Concrete (ACI 318-95) and Commentary (ACI 318R-95), American Concrete Institute, Farmington Hills, Mich.
  3. ACI Committee 318 (2019), Building Code Requirements for Structural Concrete (ACI 318-19) and Commentary on Building Code Requirements for Structural Concrete (ACI 318R-19), American Concrete Institute, Farmington Hills, Mich.
  4. Amiri, S. and Masoudnia, R. (2011), "Investigation of the opening effects on the behavior of concrete beams without additional reinforcement in opening region using fem method", Austr. J. Basic Appl. Sci., 5(5), 617-627.
  5. ANSYS V.15 (2013), Engineering Simulation Software, ANSYS Inc., Canonsburg, USA.
  6. Aykac, B., Aykac, S., Kalkan, I., Dundar, B. and Can, H. (2014), "Flexural behavior and strength of reinforced concrete beams with multiple transverse openings", ACI Struct. J., 111, 267-277.
  7. Aykac, B., Kalkan, I., Aykac, S. and Egriboz, Y.E. (2013), "Flexural behavior of rc beams with regular square or circular web openings", Eng. Struct., 56, 2165-2174. https://doi.org/10.1016/j.engstruct.2013.08.043.
  8. Aykac, S. and Yilmaz, M.C. (2011), "Behavior and strength of RC beams with regular triangular or circular web openings", J. Facult. Eng. Arch. Gazi Univ., 26(3), 711-718.
  9. Bischoff, P.H. (2005), "Reevaluation of deflection prediction for concrete beams reinforced with steel and fiber reinforced polymer bars", J. Struct. Eng., 131(5), 752-762. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:5(752).
  10. Branson, D.E. (1965), "Instantaneous and time-dependent deflections of simple and continuous reinforced concrete beams", HPR Report 7-1, Alabama Highway Department, Bureau of Public Roads, Alabama, USA.
  11. CEN (European Committee for Standardization) (2004), Design of Concrete Structures, Part 1.1.: General Rules and Rules for Buildings, Eurocode 2, Brussels, Belgium.
  12. Doh, J.H., Yoo, T.M., Miller, D., Guan, H. and Fragomeni, S. (2012), "Investigation into the behaviour of deep beam with web openings by finite element", Comput. Concrete, 10(6), 609-630. http://doi.org/10.12989/cac.2012.10.6.609.
  13. Guan, H. (2005), "Strut-and-tie model of deep beams with web openings-An optimization approach", Struct. Eng. Mech., 19(4), 361-379. http://doi.org/10.12989/sem.2005.19.4.361.
  14. Huang, L.M. (1989), "Concrete beams with small openings under bending and shear", MEng Thesis, National University of Singapore, Singapore.
  15. Kahlaf, H.A. and Izzet, A.F. (2020), "Performance of reinforced concrete beams with multiple openings", Key Eng. Mater., 857, 162-168. https://doi.org/10.4028/www.scientific.net/KEM.857.162.
  16. Kalkan, I. (2014), "In-plane flexural behavior of reinforced concrete beams with regular openings (in Turkish)", J. Facult. Eng. Arch. Gazi Univ., 29(1), 155-163.
  17. Kalkan, I., Kahraman, E. and Basaran, B. (2019), "Flexural behavior of reinforced concrete beams with regular square web openings and different longitudinal reinforcement ratio (in Turkish)", J. Inst. Sci. Technol., Igdir Univ., 9(3), 1417-1430.
  18. Liu, T.J, Chen, S.W., Feng, Z.H. and Liu, H.Y. (2020), "Effect of web openings on flexural behaviour of underground metro station RC beams under static and cyclic loading", Adv. Civil Eng., 2020, Article ID 1210485. https://doi.org/10.1155/2020/1210485.
  19. Lu, W.Y., Yu, H.W., Chen, C.L., Liu, S.L. and Chen, T.C. (2015), "High-strength concrete deep beams with web openings strengthened by carbon fiber reinforced plastics", Comput. Concrete, 15(1), 21-35. http://doi.org/10.12989/cac.2015.15.1.021.
  20. Mansur, M.A. (1998), "Effect of openings on the behaviour and strength of R/C beams in shear", Cement Concrete Compos., 20(6), 477-486. https://doi.org/10.1016/S0958-9465(98)00030-4.
  21. Mansur, M.A. (1999), "Design of reinforced concrete beams with small openings under combined loading", ACI Struct. J., 96(5), 675-681.
  22. Mansur, M.A. and Tan, K.H. (1999), Concrete Beams with Openings: Analysis and Design, CRC Press, Boca Raton, Florida, USA.
  23. Mansur, M.A., Huang, L.M., Tan, K.H. and Lee, S.L. (1992), "Deflections of reinforced concrete beams with web openings", ACI Struct. J., 89(4), 391-7.
  24. Mansur, M.A., Lee, Y.F., Tan, K.H. and Lee, S. L. (1991), "Tests on RC continuous beams with openings", J. Struct. Eng., 117(6), 1593-606. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:6(1593).
  25. Panedpojaman, P. (2018), "Simplified equations for Vierendeel design calculations of composite beams with web openings", Steel Compos. Struct., 27(4), 401-416. http://doi.org/10.12989/scs.2018.27.4.401.
  26. Senthil, K., Gupta, A. and Singh, S.P. (2018), "Computation of stress-deformation of deep beam with openings using finite element method", Adv. Concrete Constr., 6(3), 245-268. http://doi.org/10.12989/acc.2018.6.3.245.
  27. Tan, K.H. and Mansur, M.A. (1996), "Design procedure for reinforced concrete beams with large web openings", ACI Struct. J., 93(4), 404-411.
  28. Tan, K.H., Mansur, M.A. and Wei, W. (2001), "Design of reinforced concrete beams with circular openings", ACI Struct. J., 98(3), 407-415.
  29. Todeschini, C.E., Bianchini, A.C. and Kesler, C.E. (1964), "Behavior of concrete columns reinforced with high strength steels", ACI J. Proc., 61(6), 704-716.