Analytical Study on the Torsional Behavior of Reinforced Concrete Beams Strengthened with FRCM Composite
Publication: Journal of Composites for Construction
Volume 23, Issue 2
Abstract
In this study, an analytical approach was used to predict the full torsional response of RC beams strengthened with externally bonded fiber-reinforced cementitious matrix (FRCM) composite. The analytical model was based on the softened membrane model for torsion (SMMT) modified for fiber-reinforced polymer (FRP)-strengthened beams. As a first attempt, fully wrapped beams with fiber rupture governing the mode of failure were considered in this study. The model was validated by comparing the analytical response to the experimental response of five solid, rectangular RC beams. The model was able to predict values of the cracking and ultimate torsional moment and the corresponding angles of twist per unit length with reasonable accuracy. Also, reasonable agreement was achieved between the experimental and analytical results in terms of the overall response and failure sequence. The results confirm the feasibility of the SMMT model to predict the torsional response of fully wrapped FRCM-strengthened beams with the fiber rupture failure mode. However, additional modifications are required to extend the model to U-wrapped configurations and composite debonding failure modes.
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Acknowledgments
The authors would like to thank the Higher Committee for Education Development in Iraq (HCED) for the financial support.
References
Alabdulhady, M. Y., and L. H. Sneed. 2018. “A study of the effect of fiber orientation on the torsional behavior of RC beams strengthened with PBO-FRCM composite.” Constr. Build. Mater. 166: 839–854. https://doi.org/10.1016/j.conbuildmat.2018.02.004.
Alabdulhady, M. Y., L. H. Sneed, and C. Carloni. 2017. “Torsional behavior of RC beams strengthened with PBO-FRCM composite—An experimental study.” Eng. Struct. 136: 393–405. https://doi.org/10.1016/j.engstruct.2017.01.044.
Aljazaeri, Z. R., and J. J. Myers. 2017. “Strengthening of reinforced-concrete beams in shear with a fabric-reinforced cementitious matrix.” J. Compos. Constr. 21 (5): 04017041. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000822.
Ameli, M., and H. R. Ronagh. 2007. “Analytical method for evaluating ultimate torque of FRP strengthened reinforced concrete beams.” J. Compos. Constr. 11 (4): 384–390. https://doi.org/10.1061/(ASCE)1090-0268(2007)11:4(384).
Ameli, M., H. R. Ronagh, and P. F. Dux. 2007. “Behavior of FRP strengthened reinforced concrete beams under torsion.” J. Compos. Constr. 11 (2): 192–200. https://doi.org/10.1061/(ASCE)1090-0268(2007)11:2(192).
Babaeidarabad, S., G. Loreto, and A. Nanni. 2014. “Flexural strengthening of RC beams with an externally bonded fabric-reinforced cementitious matrix.” J. Compos. Constr. 18 (5): 04014009. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000473.
Belarbi, A., and T. T. Hsu. 1995. “Constitutive laws of softened concrete in biaxial tension compression.” Struct. J. 92 (5): 562–573.
Bredt, R. 1896. “Kritische Bemerkungen zur drehungselastizitat.” Z. Ver. Dtsch. Ing. 40 (28): 785–790.
Carloni, C., C. Mazzotti, M. Savoia, and K. V. Subramaniam. 2014. “Confinement of masonry columns with PBO FRCM composites.” Key Eng. Mater. 624: 644. https://doi.org/10.4028/www.scientific.net/KEM.624.644.
Chai, H. K., A. A. Majeed, and A. A. Allawi. 2014. “Torsional analysis of multicell concrete box girders strengthened with CFRP using a modified softened truss model.” J. Bridge Eng. 20 (8): B4014001. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000621.
Chalioris, C. E. 2006. “Experimental study of the torsion of reinforced concrete members.” Struct. Eng. Mech. 23 (6): 713–737. https://doi.org/10.12989/sem.2006.23.6.713.
Chalioris, C. E. 2007. “Analytical model for the torsional behavior of reinforced concrete beams retrofitted with FRP materials.” Eng. Struct. 29 (12): 3263–3276. https://doi.org/10.1016/j.engstruct.2007.09.009.
Chalioris, C. E. 2008. “Torsional strengthening of rectangular and flanged beams using carbon fibre-reinforced-polymers—Experimental study.” Constr. Build. Mater. 22 (1): 21–29. https://doi.org/10.1016/j.conbuildmat.2006.09.003.
Colajanni, P., F. De Domenico, A. Recupero, and N. Spinella. 2014. “Concrete columns confined with fibre reinforced cementitious mortars: Experimentation and modelling.” Constr. Build. Mater. 52: 375–384. https://doi.org/10.1016/j.conbuildmat.2013.11.048.
D’Ambrisi, A., and F. Focacci. 2011. “Flexural strengthening of RC beams with cement-based composites.” J. Compos. Constr. 15 (5): 707–720. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000218.
D’Antino, T., L. H. Sneed, C. Carloni, and C. Pellegrino. 2015. “Influence of the substrate characteristics on the bond behavior of PBO FRCM-concrete joints.” Constr. Build. Mater. 101: 838–850. https://doi.org/10.1016/j.conbuildmat.2015.10.045.
Deifalla, A., A. Awad, and M. Elgarhy. 2013. “Effectiveness of externally bonded CFRP strips for strengthening flanged beams under torsion: An experimental study.” Eng. Struct. 56: 2065–2075. https://doi.org/10.1016/j.engstruct.2013.08.027.
Deifalla, A., and A. Ghobarah. 2010. “Full torsional behavior of RC beams wrapped with FRP: Analytical model.” J. Compos. Constr. 14 (3): 289–300. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000085.
fib (International Federation for Structural Concrete). 2001. Externally bonded FRP reinforcement for RC structures. Lausanne, Switzerland: CEB-FIP.
Ganganagoudar, A., T. G. Mondal, and S. S. Prakash. 2016. “Analytical and finite element studies on behavior of FRP strengthened RC beams under torsion.” Compos. Struct. 153: 876–885. https://doi.org/10.1016/j.compstruct.2016.07.014.
Ghobarah, A., M. N. Ghorbel, and S. E. Chidiac. 2002. “Upgrading torsional resistance of reinforced concrete beams using fiber-reinforced polymer.” J. Compos. Constr. 6 (4): 257–263. https://doi.org/10.1061/(ASCE)1090-0268(2002)6:4(257).
Gonzalez-Libreros, J. H., C. Sabau, L. H. Sneed, C. Pellegrino, and G. Sas. 2017a. “State of research on shear strengthening of RC beams with FRCM composites.” Constr. Build. Mater. 149: 444–458. https://doi.org/10.1016/j.conbuildmat.2017.05.128.
Gonzalez-Libreros, J. H., L. H. Sneed, T. D’Antino, and C. Pellegrino. 2017b. “Behavior of RC beams strengthened in shear with FRP and FRCM composites.” Eng. Struct. 150: 830–842. https://doi.org/10.1016/j.engstruct.2017.07.084.
Hii, A. K., and R. Al-Mahaidi. 2006a. “An experimental and numerical investigation on torsional strengthening of solid and box-section RC beams using CFRP laminates.” Compos. Struct. 75 (1): 213–221. https://doi.org/10.1016/j.compstruct.2006.04.050.
Hii, A. K., and R. Al-Mahaidi. 2006b. “Experimental investigation on torsional behavior of solid and box-section RC beams strengthened with CFRP using photogrammetry.” J. Compos. Constr. 10 (4): 321–329. https://doi.org/10.1061/(ASCE)1090-0268(2006)10:4(321).
Hsu, T. T. 1990. “Shear flow zone in torsion of reinforced concrete.” J. Struct. Eng. 116 (11): 3206–3226. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:11(3206).
Hsu, T. T. 1993. Unified theory of reinforced concrete. Boca Raton, FL: CRC Press.
Hsu, T. T., and Y. L. Mo. 1985. “Softening of concrete in torsional members—Theory and tests.” ACI J. Proc. 82 (3): 290–303.
Hsu, T. T., and R. R. Zhu. 2002. “Softened membrane model for reinforced concrete elements in shear.” Struct. J. 99 (4): 460–469.
Jeng, C. H., and T. T. Hsu. 2009. “A softened membrane model for torsion in reinforced concrete members.” Eng. Struct. 31 (9): 1944–1954. https://doi.org/10.1016/j.engstruct.2009.02.038.
Karayannis, C. G. 2000. “Smeared crack analysis for plain concrete in torsion.” J. Struct. Eng. 126 (6): 638–645. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:6(638).
Karayannis, C. G., and C. E. Chalioris. 2000. “Experimental validation of smeared analysis for plain concrete in torsion.” J. Struct. Eng. 126 (6): 646–653. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:6(646).
Loreto, G., S. Babaeidarabad, L. Leardini, and A. Nanni. 2015. “RC beams shear-strengthened with fabric-reinforced-cementitious-matrix (FRCM) composite.” Int. J. Adv. Struct. Eng. (IJASE) 7 (4): 341–352. https://doi.org/10.1007/s40091-015-0102-9.
Mitchell, D., and M. P. Collins. 1974. “Diagonal compression field theory—A rational model for structural concrete in pure torsion.” J. Proc. 71 (8): 396–408.
Ombres, L. 2011. “Flexural analysis of reinforced concrete beams strengthened with a cement based high strength composite material.” Compos. Struct. 94 (1): 143–155. https://doi.org/10.1016/j.compstruct.2011.07.008.
Ombres, L. 2012. “Shear capacity of concrete beams strengthened with cement based composite materials.” In Proc., 6th Int. Conf. on FRP Composites in Civil Engineering (CICE 2012). Rome: Sapienza Universita di Roma.
Ombres, L. 2015. “Structural performances of reinforced concrete beams strengthened in shear with a cement based fiber composite material.” Compos. Struct. 122: 316–329. https://doi.org/10.1016/j.compstruct.2014.11.059.
Onsongo, W. M. 1978. “Diagonal compression field theory for reinforced concrete beams subjected to combined torsion, flexure, and axial load.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Panchacharam, S., and A. Belarbi. 2002. “Torsional behavior of reinforced concrete beams strengthened with FRP composites.” In Vol. 1 of Proc., First FIB Congress, 1–110. Lausanne, Switzerland: fib.
Rahal, K. N., and M. P. Collins. 2003. “Combined torsion and bending in reinforced and prestressed concrete beams.” ACI Struct. J. 100 (2): 157–165.
Salom, P. R., J. Gergely, and D. T. Young. 2004. “Torsional strengthening of spandrel beams with fiber-reinforced polymer laminates.” J. Compos. Constr. 8 (2): 157–162. https://doi.org/10.1061/(ASCE)1090-0268(2004)8:2(157).
Shen, K., S. Wan, Y. Mo, and Z. Jiang. 2018. “Theoretical analysis on full torsional behavior of RC beams strengthened with FRP materials.” Compos. Struct. 183: 347–357. https://doi.org/10.1016/j.compstruct.2017.03.084.
Sneed, L. H., C. Carloni, G. Baietti, and G. Fraioli. 2017. “Confinement of clay masonry columns with SRG.” Vol. 747 of Key engineering materials, 350–357. Dürnten, Switzerland: Trans Tech Publications.
Sneed, L. H., T. D’Antino, and C. Carloni. 2014. “Investigation of bond behavior of PBO fiber-reinforced cementitious matrix composite-concrete interface.” ACI Mater. J. 111 (1–6): 1–12.
Sneed, L. H., S. Verre, C. Carloni, and L. Ombres. 2016. “Flexural behavior of RC beams strengthened with steel-FRCM composite.” Eng. Struct. 127: 686–699. https://doi.org/10.1016/j.engstruct.2016.09.006.
Trapko, T., D. Urbańska, and M. Kamiński. 2015. “Shear strengthening of reinforced concrete beams with PBO-FRCM composites.” Composites Part B 80: 63–72. https://doi.org/10.1016/j.compositesb.2015.05.024.
Vecchio, F. J., and M. P. Collins. 1986. “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI J. 83 (2): 219–231.
Vintzileou, E., and E. Panagiotidou. 2008. “An empirical model for predicting the mechanical properties of FRP-confined concrete.” Constr. Build. Mater. 22 (5): 841–854. https://doi.org/10.1016/j.conbuildmat.2006.12.009.
Zhu, R. R., and T. T. Hsu. 2002. “Poisson effect in reinforced concrete membrane elements.” ACI Struct. J. 99 (5): 631–640.
Zojaji, A. R., and M. Z. Kabir. 2012. “Analytical approach for predicting full torsional behavior of reinforced concrete beams strengthened with FRP materials.” Sci. Iranica 19 (1): 51–63. https://doi.org/10.1016/j.scient.2011.12.004.
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©2019 American Society of Civil Engineers.
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Received: Mar 7, 2018
Accepted: Sep 4, 2018
Published online: Jan 14, 2019
Published in print: Apr 1, 2019
Discussion open until: Jun 14, 2019
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