Advances in concrete construction

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Computation of stress-deformation of deep beam with openings using finite element method

  • Senthil, K. (Department of Civil Engineering, National Institute of Technology Jalandhar) ;
  • Gupta, A. (Department of Civil Engineering, National Institute of Technology Jalandhar) ;
  • Singh, S.P. (Department of Civil Engineering, National Institute of Technology Jalandhar)
  • Received : 2017.10.10
  • Accepted : 2018.03.29
  • Published : 2018.06.25
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Abstract

The numerical investigations have been carried out on deep beam with opening subjected to static monotonic loading to demonstrate the accuracy and effectiveness of the finite element based numerical models. The simulations were carried out through finite element program ABAQUS/CAE and the results thus obtained were validated with the experiments available in literature. Six simply supported beams were modelled with two square openings of 200 and 250 mm sides considered as opening at centre, top and bottom of the beam. In order to define the material behaviour of concrete and reinforcing steel bar the Concrete Damaged Plasticity model and Johnson-Cook material parameters available in literature were employed. The numerical results were compared with the experiments in terms of ultimate failure load, displacement and von-Mises stresses. In addition to that, seventeen beams were simulated under static loading for studying the effect of opening location, size and shape of the opening and depth, span and shear span to depth ratio of the deep beam. In general, the numerical results accurately predicted the pattern of deformation and displacement and found in good agreement with the experiments. It was concluded that the structural response of deep beam was primarily dependent on the degree of interruption of the natural load path. An increase in opening size from 200 to 250 mm size resulted in an average shear strength reduction of 35%. The deep beams having circular openings undergo lesser deflection and thus they are preferable than square openings. An increase in depth from 500 mm to 550 mm resulted in 78% reduced deflection.

Keywords

References

  1. ABAQUS/explicit user's manual, version 6.14.
  2. Alsaeq, H.M. (2013), "Effects of opening shape and location on the structural strength of R.C. deep beams with openings", Int. J. Civil Environ. Struct. Const. Arch. Eng., 7(6), 494-499.
  3. Campione, G. and Minafo, G. (2012), "Behaviour of concrete deep beams with openings and low shear span-to-depth ratio", Eng. Struct., 41, 294-306. https://doi.org/10.1016/j.engstruct.2012.03.055
  4. Chin, S.C. and Doh, S.I. (2015), "Behaviour of reinforced concrete deep beams with openings in the shear zones", J. Eng. Tech., 6(1), 60-71.
  5. Demir, A., Ozturk, H. and Dok, G. (2016), "3D numerical modelling of RC deep beam behavior nonlinear finite element analysis", Disast. Sci. Eng., 2(1), 13-18.
  6. Foster, S.J. (1990), "Non-linear finite element model for reinforced concrete deep beams and panels", University of New South Wales.
  7. Foster, S.J. (1992), The Structural Behaviour of Reinforced Concrete Deep Beams, University of New South Wales.
  8. Hancock, J.W. and Mackenzie A.C. (1976), "On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states", J. Mech. Phys. Solid., 24, 147-169. https://doi.org/10.1016/0022-5096(76)90024-7
  9. Hawileh, R.A., Maaddawy, T.A.E. and Naser, M.Z. (2012), "Nonlinear finite element modelling of concrete deep beams with openings strengthened with externally-bonded composites", Mater. Des., 42, 378-387. https://doi.org/10.1016/j.matdes.2012.06.004
  10. Ibrahimbegovic, A. (1990) "A novel membrane finite element with an enhanced displacement interpolation", J. Finite Elem. Anal. Des., 7, 167-179. https://doi.org/10.1016/0168-874X(90)90008-3
  11. Ibrahimbegovic, A. and Wilson, E.L. (1991), "Thick shell and solid finite elements with independent rotation fields", Int. J. Numer. Meth. Eng., 31, 1393-1414. https://doi.org/10.1002/nme.1620310711
  12. Iqbal, M.A., Rai, S., Sadique, M.R. and Bhargava, P. (2012), "Numerical simulation of aircraft crash on nuclear containment structure", Nucl. Eng. Des., 243, 321-335. https://doi.org/10.1016/j.nucengdes.2011.11.019
  13. Iqbal, M.A., Senthil, K., Bhargava, P. and Gupta, N.K. (2015), "The characterization and ballistic evaluation of mild steel", Int. J. Impact Eng., 78, 98-113. https://doi.org/10.1016/j.ijimpeng.2014.12.006
  14. Islam, M.R., Mansur, M.A. and Maalej, M. (2005), "Shear strengthening of RC deep beams using externally bonded FRP systems", Cement Concrete Compos., 27(3), 413-420. https://doi.org/10.1016/j.cemconcomp.2004.04.002
  15. Johnson, G.R. and Cook, W.H. (1983), "A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures", Proceedings of 7th International Symposium on Ballistics, The Hague, Netherlands.
  16. Johnson, G.R. and Cook, W.H. (1985), "'Fracture characteristics of three metals subjected to various strains, strain rates, temperatures, and pressures", Eng. Fract. Mech., 21, 31-48. https://doi.org/10.1016/0013-7944(85)90052-9
  17. Kim, H.S., Lee, M.S. and Shin, Y.S. (2011), "Structural behaviours of deep RC beams under combined axial and bending force", Proc. Eng., 14, 2212-2218. https://doi.org/10.1016/j.proeng.2011.07.278
  18. Maaddawy, T.E. and Sherif, S. (2009), "FRP composites for shear strengthening of reinforced concrete deep beams with openings", Compos. Struct., 89(1), 60-69. https://doi.org/10.1016/j.compstruct.2008.06.022
  19. 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
  20. Mohamed, A.R., Shoukry, M.S. and Saeed, J.M. (2014), "Prediction of the behavior of reinforced concrete deep beams with web openings using the finite element method", Alexandria Eng. J., 53, 329-339. https://doi.org/10.1016/j.aej.2014.03.001
  21. Rashid, M.A. and Kabir, A. (1996), "Behaviour of reinforced concrete deep beam under uniform loading", J. Civil Eng. Inst. Eng., 24(2), 155-169.
  22. Sachan, A.K. and Rao, K. (1990), "Behaviour of fibre reinforced concrete deep beams", Cement Concrete Compos., 12(3), 211-218 https://doi.org/10.1016/0958-9465(90)90022-P
  23. Senthil, K., Rupali, S. and Satyanarayanan, K.S. (2017), "Experiments on ductile and non-ductile reinforced concrete frames under static and cyclic loading", J. Coupl. Sys. Multisc. Dyn., 5(1), 38-50. https://doi.org/10.1166/jcsmd.2017.1118
  24. Senthil, K., Satyanarayanan, K.S. and Rupali, S. (2016a), "Energy absorption of fibrous self-compacting reinforced concrete system", Adv. Concrete Constr., 4(1), 37-47. https://doi.org/10.12989/acc.2016.4.1.037
  25. Senthil, K., Satyanarayanan, K.S. and Rupali, S. (2016b), "Behavior of fibrous reinforced concrete systems subjected to monotonic and cyclic loading", Proceedings of the 10th Structural Engineering Convention, CSIR-SERC, Chennai, India, December.
  26. Winnicki, A. and Cichon, C. (1995), "Modelling problems of RC deep beams using FEM", Proceedings of the XII Polish Conference on Computer Methods in Mechanics, Poland, May.
  27. Yang, K.H. and Ashour, A.F. (2007), "Structural behaviour of reinforced-concrete continuous deep beams with web openings", Mag. Concrete Res., 59(10), 699-711. https://doi.org/10.1680/macr.2007.59.10.699
  28. Yang, K.H., Chung, H.S., Lee, E.T. and Eun, H.C. (2003), "Shear characteristics of high-strength concrete deep beams without shear reinforcements", Eng. Struct., 25(10), 1343-1352. https://doi.org/10.1016/S0141-0296(03)00110-X
  29. Yang, K.H., Eun, H.C. and Chung, H.S. (2006), "The influence of web openings on the structural behaviour of reinforced high-strength concrete deep beams", Eng. Struct., 28(13), 1825-1834. https://doi.org/10.1016/j.engstruct.2006.03.021
  30. Yoo, D.Y. and Banthia, N. (2015), "Numerical simulation on structural behavior of UHPFRC beams with steel and GFRP bars", Comput. Concete, 16(5), 759-774. https://doi.org/10.12989/cac.2015.16.5.759
  31. Zhao, Z.Z., Kwan, A.K.H. and He, X.G. (2004), "Nonlinear finite element analysis of deep reinforced concrete coupling beams", Eng. Struct., 26(1), 13-25. https://doi.org/10.1016/j.engstruct.2003.08.014