Abstract
The strut-and-tie model (STM) has been widely applied for the design of reinforced concrete (RC), members particularly discontinuity regions. In this paper, on the basis of available experimental results of crack patterns, failure modes, and trajectories of internal stresses from elastic finite element analysis (FEA), STMs have been suggested for many shallow and deep beams with openings, which had been tested experimentally. In addition, for comparison purposes, 3-D nonlinear FEA using ANSYS-12 package has been performed for selected beams. Some of the important factors affecting the behavior of RC beams, namely concrete compressive and tensile strength, span-to-depth ratio, shear span-to-depth ratio, physical and mechanical properties of horizontal, vertical web reinforcement and main steel, loading position, opening dimensions, and location, are investigated via a parametric study with the aid of 3-D nonlinear FEA. With such analysis, results of crack pattern, deflection, failure mode, and strain and stress distributions, which cannot be determined using the STM, are obtained. A comparison of the FEA with test results and proposed STMs has been carried out. The present study reveals the reliability of the STM method in obtaining a reasonable lower bound estimate of the load carrying capacity of RC ordinary/deep beams with openings. In addition, the 3-D nonlinear FEA of simple and continuous NSC and HSC ordinary/deep beams with/without openings yields accurate predictions of both the ultimate load and the complete response.
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Rferences
American Concrete Institute: Building Code Requirements for RC. Detroit, ACI-318M (2011)
El-Zoughiby, M.E.; El-Metwally, S.E.; El-Shora, A.T.; Agieb, E.E.: Strength prediction of simply supported R/C deep beams using the strut-and-tie method. Arab. J. Sci. Eng. 38(8), 1973–1991 (2013)
El-Zoughiby, M.E.; El-Metwally, S.E.; El-Shora, A.T.; Agieb, E.E.: Strength prediction of continuous R/C deep beams using the strut-and-tie method. Arab. J. Sci. Eng. 39(3), 1685–1699 (2014)
ANSYS-12 Package, 2009 SAS IP, Inc.
Egyptian Code for the Design and Construction of Reinforced Concrete Structure, Cairo, 2007, Ministry of Housing and Development of New Communities, Cairo, Egypt
Schlaich J., Schäfer K.: Design and detailing of structural concrete using strut-and-tie models. Struct. Eng. 69(6), 113–125 (1991)
Amiri, J.V.; Hosseinalibygie, M.: Effect of small circular openings on the shear and flexural behavior and ultimate strength of RC beams using normal- and high-strength concrete. In: 13th World Conference on Earthquake Engineering, Vancouver, BC, Canada (2004)
Abdalla H.A., Torkeya A.M., Haggagb H.A., Abu-Amira A.F.: Design against cracking at openings in RC beams strengthened with composite sheets. Compos. Struct. 60, 197–204 (2003)
Tan, K.H.; Mansur, M.A.; Huang, L.M.: RC T-beams with large Web openings in positive and negative moment regions. Exp. Study ACI Struct. J. 93(3) (1996)
El-Azab, M.F.: Behavior of Reinforced HSC Deep Beams with Web Openings. M.Sc. Thesis, Structural Engineering, Faculty of Engineering, El-Mansoura University, El-Mansoura, Egypt (2007)
Mohammad, K.I.: Prediction of Behavior of Reinforced Concrete Deep Beams with Web Openings Using Finite Elements, vol. 15, No. 4. Al-Rafidain Engineering, Iraq (2007)
Thompson, M.K.; Young, M.J.; Jirsa, J.O.; Breen, J.E.; Klingner, R.E.: Anchorage of Headed Reinforcement in CCT Nodes. Research Report 1855-2, Austin, TX, Center for Transportation Research, University of Texas at Austin (2003)
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El-Demerdash, W.E., El-Metwally, S.E., El-Zoughiby, M.E. et al. Behavior of RC Shallow and Deep Beams with Openings Via the Strut-and-Tie Model Method and Nonlinear Finite Element. Arab J Sci Eng 41, 401–424 (2016). https://doi.org/10.1007/s13369-015-1678-x
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DOI: https://doi.org/10.1007/s13369-015-1678-x