Torsional Strengthening of Reinforced Concrete Beams with Externally-Bonded Fibre Reinforced Polymer: An Energy Absorption Evaluation

Mahir M. Hason, Ammar N. Hanoon, Ahmed W. Al Zand, Ali A. Abdulhameed, Ali O. Al-Sulttani


The impacts of numerous important factors on the Energy Absorption (EA) of torsional Reinforced Concrete (RC) beams strengthened with external FRP is the main purpose and innovation of the current research. A total of 81 datasets were collected from previous studies, focused on the investigation of EA behaviour. The impact of nine different parameters on the Torsional EA of RC-beams was examined and evaluated, namely the concrete compressive strength (f’c), steel yield strength (fy), FRP thickness (tFRP), width-to-depth of the beam section (b/h), horizontal (ρh) and vertical (ρv) steel ratio, angle of twist (θu), ultimate torque (Tu), and FRP ultimate strength (fy-FRP). For the evaluation of the energy absorption capacity at different levels, Response Surface Methodology (RSM) was implemented in this study. Also, to fit the measured results, Quadratic and Line models were created. The results show that the RSM technique is a highly significant tool that can be applied not only to energy absorption-related problems examined in this research, but also to other engineering problems. An agreement is observed between Pareto and standardized charts with the literature showing that the EA capacity of the torsional FRP-RC beams is mostly affected by the concrete compressive strength, followed by the vertical reinforcement ratio. The newly suggested model in this article exhibits a satisfactory correlation co-efficient (R), of about 80%, with an adequate level of accuracy. The obtained results also reveal that the EA acts as a safety index for the FRP-strengthened RC beams exposed to torsional loadings to avoid sudden structural damage.


Doi: 10.28991/cej-2020-SP(EMCE)-07

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Energy Absorption; Reinforced Concrete Beams; Torsional Strengthening; FRP, Response Surface Method (RSM).


Mahir Mahmod, H., A. A. Farah Nora Aznieta, and Sarah Jabbar Gatea. “Evaluation of Rubberized Fibre Mortar Exposed to Elevated Temperature Using Destructive and Non-Destructive Testing.” KSCE Journal of Civil Engineering 21, no. 4 (August 19, 2016): 1347–1358. doi:10.1007/s12205-016-0721-0.

Mahmod, Mahir, Ammar N. Hanoon, and Haitham J. Abed. “Flexural Behavior of Self-Compacting Concrete Beams Strengthened with Steel Fiber Reinforcement.” Journal of Building Engineering 16 (March 2018): 228–237. doi:10.1016/j.jobe.2018.01.006.

Sardar, Sardasht, Mahir Mahmod, and Imad Shakir. “Nonlinear Pushover Analysis for Steel Beam-Column Connection.” Eurasian Journal of Science and Engineering 3, no. 1 (2017): 83-98. doi:10.23918/eajse.v3i1sip83.

Jabbar, Sarah, Farzad Hejazi, and H. Mahir Mahmod. “Effect of an Opening on Reinforced Concrete Hollow Beam Web under Torsional, Flexural, and Cyclic Loadings.” Latin American Journal of Solids and Structures 13, no. 8 (August 2016): 1576-1595. doi:10.1590/1679-782512629.

Burciaga, Ulises Mercado. “Sustainability Assessment in Housing Building Organizations for the Design of Strategies against Climate Change.” HighTech and Innovation Journal 1, no. 4 (December 1, 2020): 136–147. doi:10.28991/hij-2020-01-04-01.

Kandekar, Sachin B., and Rajshekhar S. Talikoti. “Torsional Behaviour of Reinforced Concrete Beam Wrapped with Aramid Fiber.” Journal of King Saud University - Engineering Sciences 31, no. 4 (October 2019): 340–344. doi:10.1016/j.jksues.2018.02.001.

Chen, Hui, Wei-Jian Yi, Zhongguo John Ma, and Hyeon-Jong Hwang. “Modeling of Shear Mechanisms and Strength of Concrete Deep Beams Reinforced with FRP Bars.” Composite Structures 234 (February 2020): 111715. doi:10.1016/j.compstruct.2019.111715.

Hanoon, Ammar N., M.S. Jaafar, Salah R. Al Zaidee, Farzad Hejazi, and F.N.A. Abd Aziz. “Effectiveness Factor of the Strut-and-Tie Model for Reinforced Concrete Deep Beams Strengthened with CFRP Sheet.” Journal of Building Engineering 12 (July 2017): 8–16. doi:10.1016/j.jobe.2017.05.001.

Hanoon, Ammar N., M. S. Jaafar, Farzad Hejazi, and Farah N.A. Abdul Aziz. “Energy Absorption Evaluation of Reinforced Concrete Beams Under Various Loading Rates Based on Particle Swarm Optimization Technique.” Engineering Optimization 49, no. 9 (December 1, 2016): 1483–1501. doi:10.1080/0305215x.2016.1256729.

Song, Zhibo, Shizhao Ming, Tong Li, Kaifan Du, Caihua Zhou, and Bo Wang. “Improving the Energy Absorption Capacity of Square CFRP Tubes with Cutout by Introducing Chamfer.” International Journal of Mechanical Sciences 189 (January 2021): 105994. doi:10.1016/j.ijmecsci.2020.105994.

Ameli, Mehran, Hamid R. Ronagh, and Peter F. Dux. "Behavior of FRP strengthened reinforced concrete beams under torsion." Journal of Composites for Construction 11, no. 2 (2007): 192-200. doi:10.1061/(ASCE)1090-0268(2007)11:2(192).

Hii, Adrian KY, and Riadh Al-Mahaidi. "Torsional capacity of CFRP strengthened reinforced concrete beams." Journal of Composites for Construction 11, no. 1 (2007): 71-80. doi:10.1061/(ASCE)1090-0268(2007)11:1(71).

Hii, Adrian K.Y., and Riadh Al-Mahaidi. “An Experimental and Numerical Investigation on Torsional Strengthening of Solid and Box-Section RC Beams Using CFRP Laminates.” Composite Structures 75, no. 1–4 (September 2006): 213–221. doi:10.1016/j.compstruct.2006.04.050.

Abdulhameed, Ali A., and AbdulMuttalib I. Said. “Experimental Investigation of the Behavior of Self-Form Segmental Concrete Masonry Arches.” Fibers 7, no. 7 (July 2, 2019): 58. doi:10.3390/fib7070058.

Alabdulhady, Meyyada Y., and Lesley H. Sneed. “Torsional Strengthening of Reinforced Concrete Beams with Externally Bonded Composites: A State of the Art Review.” Construction and Building Materials 205 (April 2019): 148–163. doi:10.1016/j.conbuildmat.2019.01.163.

Zhang, Junyuan, Danfeng Zheng, Bingquan Lu, and Tianqi Zhang. “Energy Absorption Performance of Hybrid Cross Section Tubes Under Oblique Loads.” Thin-Walled Structures (November 2020): 107133. doi:10.1016/j.tws.2020.107133.

Kavussi, A., M. Qorbani, A. Khodaii, and H.F. Haghshenas. “Moisture Susceptibility of Warm Mix Asphalt: A Statistical Analysis of the Laboratory Testing Results.” Construction and Building Materials 52 (February 2014): 511–517. doi:10.1016/j.conbuildmat.2013.10.073.

De Oliveira, Lucas Guedes, Anderson Paulo de Paiva, Pedro Paulo Balestrassi, João Roberto Ferreira, Sebastião Carlos da Costa, and Paulo Henrique da Silva Campos. “Response Surface Methodology for Advanced Manufacturing Technology Optimization: Theoretical Fundamentals, Practical Guidelines, and Survey Literature Review.” The International Journal of Advanced Manufacturing Technology 104, no. 5–8 (June 18, 2019): 1785–1837. doi:10.1007/s00170-019-03809-9.

Ghobarah, A., M. N. Ghorbel, and S. E. Chidiac. "Upgrading torsional resistance of reinforced concrete beams using fiber-reinforced polymer." Journal of composites for construction 6, no. 4 (2002): 257-263. doi:10.1061/(ASCE)1090-0268(2002)6:4(257).

Panchacharam, Saravanan, and Abdeldjelil Belarbi. "Torsional behaviour of reinforced concrete beams strengthened with FRP composites. In First FIB Congress, Osaka, Japan. (2002): 01-110.

Jaafar, Khalaf Ibrahem Mohammad Dr Bayar. "Torsional strengthening of RC beams with CFRP wrap." Tikrit Journal of Engineering Sciences 20, no. 3 (2013): 1-9.

Hii, Adrian KY, and Riadh Al-Mahaidi. "Experimental investigation on torsional behavior of solid and box-section RC beams strengthened with CFRP using photogrammetry." Journal of Composites for Construction 10, no. 4 (2006): 321-329. doi:10.1061/(ASCE)1090-0268(2006)10:4(321).

Al-Mahaidi, Riadh, and Adrian K.Y. Hii. “Bond Behaviour of CFRP Reinforcement for Torsional Strengthening of Solid and Box-Section RC Beams.” Composites Part B: Engineering 38, no. 5–6 (July 2007): 720–731. doi:10.1016/j.compositesb.2006.06.018.

Chalioris, Constantin E. “Torsional Strengthening of Rectangular and Flanged Beams Using Carbon Fibre-Reinforced-Polymers – Experimental Study.” Construction and Building Materials 22, no. 1 (January 2008): 21–29. doi:10.1016/j.conbuildmat.2006.09.003.

Mohammadizadeh, Mohammad Reza, MJ Fadaei, and HR Rounagh. "Improving torsional behaviour of reinforced concrete beams strengthened with carbon fibre reinforced polymer composite." (2009): 315-327.

Mohammadizadeh, M.R., Fadaee, M.J., “Experimental investigation on torsional strengthening of high-strength concrete beams using CFRP sheets.” Kuwait J Scien Eng, (2009). 36.

Elwan, S. K. “Torsion Strengthening of RC Beams Using CFRP (parametric Study).” KSCE Journal of Civil Engineering 21, no. 4 (August 30, 2016): 1273–1281. doi:10.1007/s12205-016-0156-7.

Tibhe, Shraddha B., and Vijaykumar R. Rathi. “Comparative Experimental Study on Torsional Behavior of RC Beam Using CFRP and GFRP Fabric Wrapping.” Procedia Technology 24 (2016): 140–147. doi:10.1016/j.protcy.2016.05.020.

Al-Bayati, G, R. Al-Mahaidi, and R. Kalfat. “Torsional Strengthening of Reinforced Concrete Beams Using Different Configurations of NSM FRP with Epoxy Resins and Cement-Based Adhesives.” Composite Structures 168 (May 2017): 569–581. doi:10.1016/j.compstruct.2016.12.045.

Jariwala, Vishnu H., Paresh V. Patel, and Sharadkumar P. Purohit. “Strengthening of RC Beams Subjected to Combined Torsion and Bending with GFRP Composites.” Procedia Engineering 51 (2013): 282–289. doi:10.1016/j.proeng.2013.01.038.

Mohammadizadeh, M. R., and MJ Fadaei. "Torsional behavior of high-strength concrete beams strengthened using CFRP sheets; an experimental and analytical study." (2009): 321-330.

Grace, Nabil F., A. K. Soliman, G. Abdel-Sayed, and K. R. Saleh. "Behavior and ductility of simple and continuous FRP reinforced beams." Journal of composites for construction 2, no. 4 (1998): 186-194. doi:10.1061/(ASCE)1090-0268(1998)2:4(186).

Fujikake, Kazunori, Tomonori Ohno, and Takashi Nishioka. “Experimental Study on Energy Absorption Capacity of Reinforced Concrete Frames.” Doboku Gakkai Ronbunshu no. 390 (1988): 113–121. doi:10.2208/jscej.1988.390_113.

Nielsen, M.P., Hoang, L.C., Limit analysis and concrete plasticity. (2016): CRC Press.

Godat, A., Z. Qu, X. Z. Lu, P. Labossière, L. P. Ye, and K. W. Neale. “Size Effects for Reinforced Concrete Beams Strengthened in Shear with CFRP Strips.” Journal of Composites for Construction 14, no. 3 (June 2010): 260–271. doi:10.1061/(asce)cc.1943-5614.0000072.

Box, G.E., Draper, N.R., Empirical model-building and response surfaces. (1987): John Wiley & Sons.

Myers, R., “Response Surface Methodology, Edwards Brothers Inc.” Distributors Ann Arbor, Michigan, USA, (1976).

Antony, J., Design of experiments for engineers and scientists. (2014): Elsevier.

Hanoon, Ammar N., Ali A. Abdulhameed, Haider A. Abdulhameed, and Saad K. Mohaisen. “Energy Absorption Evaluation of CFRP-Strengthened Two-Spans Reinforced Concrete Beams under Pure Torsion.” Civil Engineering Journal 5, no. 9 (September 23, 2019): 2007–2018. doi:10.28991/cej-2019-03091389.

Davies, A. M. C. “The Data Analysis Handbook, I. E. Frank and R. Todeschini, Elsevier, Amsterdam, 1994, ISBN-444-81659-3,386 Pp., Dfl325, US$185.” Journal of Chemometrics 9, no. 5 (September 1995): 431–432. doi:10.1002/cem.1180090509.

Smith, G.N., “Probability and statistics in civil engineering.” Collins professional and technical books, (1986). 244.

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DOI: 10.28991/cej-2020-SP(EMCE)-07


Copyright (c) 2020 Mahir M. Hason, Ammar N. Hanoon, Ahmed W. Al Zand, Ali A. Abdulhameed, Ali O. Al-Sulttani

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