Response of Rubcrete Continuous Deep Beams under Sinusoidal Loads

Document Type : Original Article

Authors

Department of Civil Engineering, College of Engineering, University of Babylon, Iraq

Abstract

Continuous deep beams (CDBs) are the most used members in constructions with highly exposing to different types of dynamic loads. It is well known that; the concrete is a brittle material and has a weak resistance to energy absorption. Using scrapped tire rubber enhances the concrete energy absorption for sustainability purposes. Timoshenko beam theory has been used to solve CDBs subjected to sinusoidal load and has been adopted for verification of numerical results of ANSYS APDL V.15.0. Seven concrete mixes have been simulated with different types and amounts of aggregate – rubber replacements. Several parameters have been studied like replacing type, percentages, shear span of beam to depth ratio (a/h) and load intensity. It was found that Timoshenko beam theory can be used for harmonic loading CDBs. Furthermore, replacement in general provided more ductility due to rubber elasticity property. Gravel replacement by 45% has the larger displacement values among the other types. Also, it has been noted that, the sensitive of concrete deep beams towards a/h ratio stills considerable for harmonic loads, i.e. minimizing the ratio leads to decrementing the deflection wave amplitudes.

Keywords

Main Subjects


  1. Rogowsky, D.M., MacGregor, J.G. and Ong, S.Y., "Tests of reinforced concrete deep beams", (1983).
  2. Salman, W.D., "Nonlinear behavior of reinforced concrete continuous deep beam", International Journal of Engineering Research & Technology, Vol. 4, (2015), 2278-2281, doi: 10.17577/ijertv4is040460.
  3. Abdul-Razzaq, K.S., Jalil, A.M. and Dawood, A.A., "Reinforced concrete continuous deep beams under the effect of different parameters", in AIP Conference Proceedings, AIP Publishing LLC. Vol. 2213, No. 1, (2020), 020127.
  4. 426, J.A.-A.C., "Shear strength of reinforced concrete members (aci 426r-74)", in Proceedings ASCE. Vol. 99, No. ST6, (1973), 1148-1157.
  5. Khatab, M.A., Ashour, A.F., Sheehan, T. and Lam, D., "Experimental investigation on continuous reinforced scc deep beams and comparisons with code provisions and models", Engineering Structures, Vol. 131, (2017), 264-274, doi: 10.1016/j.engstruct.2016.11.005.
  6. Qaedi, H., "Desain modifikasi struktur gedung kampus iii uin imam bonjol padang menggunakan metode beton pracetak dengan sambubungan basah berdasarkan aci 318m-19", Institut Teknologi Sepuluh Nopember, (2021),
  7. Khan, S. and Singh, A., "Behavior of crumb rubber concrete", International Journal of Research in Engineering, Vol. 8, (2018), 86-92, doi. https://www.researchgate.net/publication/333044437_Behavior_of_Crumb_Rubber_Concrete
  8. Shah, S., Shrestha, S., Maharjan, S., Karki, N. and Shrestha, R., "Evaluation of performance of rubber concrete", in Proceedings of IOE Graduate Conference. Vol. 6, (2019), 599-603.
  9. Raj, A., Nagarajan, P. and Shashikala, A., "Behaviour of fibre-reinforced rubcrete beams subjected to impact loading", Journal of the Institution of Engineers (India): Series A, Vol. 101, No. 4, (2020), 597-617, doi: 10.1007/s40030-020-00470-4.
  10. Najim, K.B. and Hall, M.R., "Mechanical and dynamic properties of self-compacting crumb rubber modified concrete", Construction and Building Materials, Vol. 27, No. 1, (2012), 521-530, doi: 10.1016/j.conbuildmat.2011.07.013.
  11. Sukontasukkul, P., "Use of crumb rubber to improve thermal and sound properties of pre-cast concrete panel", Construction and Building Materials, Vol. 23, No. 2, (2009), 1084-1092, doi: 10.1016/j.conbuildmat.2008.05.021.
  12. Elshazly, F.A., Mustafa, S.A. and Fawzy, H.M., "Rubberized concrete properties and its structural engineering applications–an overview", Egyptian Journal for Engineering Sciences and Technology, Vol. 30, No. Civil and Architectural Engineering, (2020), 1-11, doi: 10.21608/eijest.2020.35823.1000.
  13. Rahul, G.T., "Enhancing the properties of crumb rubber modified concrete with synthetic resin", (2020).
  14. Grinys, A., Augonis, A., Daukšys, M. and Pupeikis, D., "Mechanical properties and durability of rubberized and sbr latex modified rubberized concrete", Construction and Building Materials, Vol. 248, (2020), 118584, doi: 10.1016/j.conbuildmat.2020.118584.
  15. Beiram, A. and Al-Mutairee, H., "Effect of using waste rubber as partial replacement of coarse aggregate on torsional strength of square reinforced concrete beam", doi: 10.5829/ije.2022.35.02b.16.
  16. Al-Mutairee, H.M. and Makki, O.M., "Rubberized concrete mix–discussions for literature review", in Journal of Physics: Conference Series, IOP Publishing. Vol. 1895, No. 1, (2021), 012011.
  17. Kadhim, A.A. and Kadhim, H.M., "Experimental investigation of rubberized reinforced concrete continuous deep beams", Journal of King Saud University-Engineering Sciences, (2021).
  18. LI, S., Yu, T. and Jia, J., "Empirical seismic vulnerability and damage of bottom frame seismic wall masonry structure: A case study in dujiangyan (china) region", International Journal of Engineering, Vol. 32, No. 9, (2019), 1260-1268, doi: 10.5829/ije.2019.32.09c.05.
  19. Siqi, L., Tianlai, Y. and Junfeng, J., "Investigation and analysis of empirical field seismic damage to bottom frame seismic wall masonry structure", International Journal of Engineering, Vol. 32, No. 8, (2019), 1082-1089, doi: 10.5829/ije.2019.32.08b.04.
  20. Li, S.-Q. and Chen, Y.-S., "Analysis of the probability matrix model for the seismic damage vulnerability of empirical structures", Natural Hazards, Vol. 104, No. 1, (2020), 705-730, doi: 10.1007/s11069-020-04187-2.
  21. Gautam, D., Adhikari, R., Rupakhety, R. and Koirala, P., "An empirical method for seismic vulnerability assessment of nepali school buildings", Bulletin of Earthquake Engineering, Vol. 18, No. 13, (2020), 5965-5982, doi: 10.1007/s10518-020-00922-z.
  22. Stoynova, I., "Vibration analysis of the simply supported r/c beam", in IOP Conference Series: Materials Science and Engineering, IOP Publishing. Vol. 1141, No. 1, (2021), 012036.
  23. Chen, G., Mu, H. and Yang, X., "Dynamic responses of rc beams under slowly swept harmonic loads", (2000).
  24. Şimşek, M. and Kocatürk, T., "Dynamic analysis of eccentrically prestressed damped beam under moving harmonic force using higher order shear deformation theory", Journal of Structural Engineering, Vol. 133, No. 12, (2007), 1733-1741.
  25. Sushmitha, N. and Hegde, M.N., "Harmonic analysis of cantilever beam with and without cracks", International Research Journal of Engineering and Technology, Vol. 6, No. 9, (2019), 692-695, doi.
  26. Mohammadzadeh, S., Esmaeili, M. and Mehrali, M., "Dynamic response of double beam rested on stochastic foundation under harmonic moving load", International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, No. 6, (2014), 572-592, doi: 10.1002/nag.
  27. Chen, Y., Song, Y., Yang, J. and Teng, T., "A new method of forced vibration problem of deep beams under distributed harmonic load", International Journal of Materials and Structural Integrity, Vol. 12, No. 1-3, (2018), 179-193.
  28. Civalek, Ö., Özturk, B. and Yavas, A., "Nonlinear transient dynamic response of clamped rectangular plates on two-parameter foundations by the algorithm of the singular convolution", International Journal of Science and Technology, Vol. 2, No. 2, (2007), 165-177.
  29. Aydin, E., Dutkiewicz, M., Öztürk, B. and Sonmez, M., "Optimization of elastic spring supports for cantilever beams", Structural and Multidisciplinary Optimization, Vol. 62, No. 1, (2020), 55-81.
  30. Civalek, O. and Ozturk, B., "Free vibration analysis of tapered beam-column with pinned ends embedded in winkler-pasternak elastic foundation", Geomechanics and Engineering, Vol. 2, No. 1, (2010), 45-56,.
  31. Toolbox, S.M., "Matlab", Mathworks Inc, (1993).
  32. Mohamed, A.M., Mahmoud, K. and El-Salakawy, E.F., "Behavior of simply supported and continuous concrete deep beams reinforced with gfrp bars", Journal of Composites for Construction, Vol. 24, No. 4, (2020), 04020032, doi: 10.1061/(asce)cc.1943-5614.0001039.
  33. Zargarian, M. and Rahai, A., "Theoretical and experimental studies of two-span reinforced concrete deep beams and comparisons with strut-and-tie method", Advances in Civil Engineering, Vol. 2021, (2021), doi: 10.1155/2021/8880067.
  34. Khalaf, M.R. and Al-Ahmed, A.H.A., "Effect of large openings on the behavior of reinforced concrete continuous deep beams under static and repeated load", in E3S Web of Conferences, EDP Sciences. Vol. 318, (2021), 03012.
  35. Makki, O.M. and Al-Mutairee, H.M., "Continuous deep beams behavior under static loads: A review study", in IOP Conference Series: Earth and Environmental Science, IOP Publishing. Vol. 961, No. 1, (2022), 012034.
  36. Hassan, S.A. and Faroun, G.A., "Behavior of hybrid reinforced concrete deep beams under repeated loading", Civil and Environmental Research, Vol. 8, No. 10, (2016), 14-37.
  37. Kadhim, A.A. and Kadhim, H.M., "Loading capacity prediction of rubberized reinforced concrete continuous deep beams", in IOP Conference Series: Materials Science and Engineering, IOP Publishing. Vol. 1090, No. 1, (2021), 012031.
  38. Sandeep, M., Nagarajan, P. and Shashikala, A., "Behaviour of steel fibre reinforced rubberized continuous deep beams", in IOP Conference Series: Materials Science and Engineering, IOP Publishing. Vol. 330, No. 1, (2018), 012125.
  39. Clough, R. and Penzien, J., Dynamics of structures third edit., berkeley, ca 94704 USA: Computers & structures. 1995, Inc.
  40. Topcu, I.B., "The properties of rubberized concretes", Cement and Concrete Research, Vol. 25, No. 2, (1995), 304-310, doi: 10.1016/0008-8846(95)00014-3.
  41. Bisht, K. and Ramana, P., "Evaluation of mechanical and durability properties of crumb rubber concrete", Construction and Building Materials, Vol. 155, (2017), 811-817, doi: 10.1016/j.conbuildmat.2017.08.131.