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http://dx.doi.org/10.12989/sem.2022.84.2.143

Predictive model for the shear strength of concrete beams reinforced with longitudinal FRP bars  

Alzabeebee, Saif (Department of Roads and Transport Engineering, University of Al-Qadisiyah)
Dhahir, Moahmmed K. (Institute of Concrete Structures, Technical University Dresden)
Keawsawasvong, Suraparb (Department of Civil Engineering, Thammasat School of Engineering, Thammasat University)
Publication Information
Structural Engineering and Mechanics / v.84, no.2, 2022 , pp. 143-154 More about this Journal
Abstract
Corrosion of steel reinforcement is considered as the main cause of concrete structures deterioration, especially those under humid environmental conditions. Hence, fiber reinforced polymer (FRP) bars are being increasingly used as a replacement for conventional steel owing to their non-corrodible characteristics. However, predicting the shear strength of beams reinforced with FRP bars still challenging due to the lack of robust shear theory. Thus, this paper aims to develop an explicit data driven based model to predict the shear strength of FRP reinforced beams using multi-objective evolutionary polynomial regression analysis (MOGA-EPR) as data driven models learn the behavior from the input data without the need to employee a theory that aid the derivation, and thus they have an enhanced accuracy. This study also evaluates the accuracy of predictive models of shear strength of FRP reinforced concrete beams employed by different design codes by calculating and comparing the values of the mean absolute error (MAE), root mean square error (RMSE), mean (𝜇), standard deviation of the mean (𝜎), coefficient of determination (R2), and percentage of prediction within error range of ±20% (a20-index). Experimental database has been developed and employed in the model learning, validation, and accuracy examination. The statistical analysis illustrated the robustness of the developed model with MAE, RMSE, 𝜇, 𝜎, R2, and a20-index of 14.6, 20.8, 1.05, 0.27, 0.85, and 0.61, respectively for training data and 10.4, 14.1, 0.98, 0.25, 0.94, and 0.60, respectively for validation data. Furthermore, the developed model achieved much better predictions than the standard predictive models as it scored lower MAE, RMSE, and 𝜎, and higher R2 and a20-index. The new model can be used in future with confidence in optimized designs as its accuracy is higher than standard predictive models.
Keywords
concrete beams; evolutionary polynomial regression analysis; FRP bars; shear strength; soft computing;
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Times Cited By KSCI : 4  (Citation Analysis)
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1 Alam, M.S. and Hussein, A. (2012), "Effect of member depth on shear strength of high-strength fiber-reinforced polymer-reinforced concrete beams", J. Compos. Constr., 16(2), 119-126. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000248.   DOI
2 Alam, M.S. and Hussein, A. (2013), "Size effect on shear strength of FRP reinforced concrete beams without stirrups", J. Compos. Constr., 17(4), 507-516. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000346.   DOI
3 Giustolisi, O. and Savic, D.A. (2009), "Advances in data-driveanalyses and modelling using EPR-MOGA", J. Hydroinform., 11(3-4), 225-236. https://doi.org/10.2166/hydro.2009.017.   DOI
4 Golafshani, E.M. and Ashour, A. (2016), "A feasibility study of BBP for predicting shear capacity of FRP reinforced concrete beams without stirrups", Adv. Eng. Softw., 97, 29-39. http://doi.org/10.1016/j.advengsoft.2016.02.007.   DOI
5 Hoult, N.A., Sherwood, E.G., Bentz, E.C. and Collins, M.P. (2008), "Does the use of FRP reinforcement change the one-way shear behavior of reinforced concrete slabs?", J. Compos. Constr., 12(2), 125-133. https://doi.org/10.1061/(ASCE)1090-0268(2008)12:2(125).   DOI
6 JSCE-97 (Japanies Sociaty of Civil Engineers) (1997), Recommendation for Design and Construction of Concrete Structures using Continuous Fiber Reinforcing Materials, Concrete Engineering Series.
7 Kani, G.N. (1967), "how safe are our large reinforced concrete beams?", ACI J. Proc., 64(3), 128-141.
8 Kim, J.K. and Park, Y.D. (1994) "Shear strength of reinforced high strength concrete beams without web reinforcement", Mag. Concrete Res., 46(166), 7-16. https://doi.org/10.1680/macr.1994.46.166.7.   DOI
9 Kara, I.F. (2011), "Prediction of shear strength of FRP-reinforced concrete beams without stirrups based on genetic programming", Adv. Eng. Softw., 42(6), 295-304. https://doi.org/10.1016/j.advengsoft.2011.02.002.   DOI
10 Kim, C.H. and Jang, H.S. (2014), "Concrete shear strength of normal and lightweight concrete beams reinforced with FRP bars", J. Compos. Constr., 18(2), 04013038. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000440.   DOI
11 Matta, F., El-Sayed, A.K., Nanni, A. and Benmokrane, B. (2013), "Size effect on concrete shear strength in beams reinforced with fiber-reinforced polymer bars", ACI Struct. J., 110(4), 617-628.
12 Matta, F., Nanni, A., Hernandez, T.M. and Benmokrane, B. (2008), "Scaling of strength of FRP reinforced concrete beams without shear reinforcement", 4th International Conference on FRP Composites in Civil Engineering (CICE2008), Zurich, Switzerland.
13 Naderpour, H., Poursaeidi, O. and Ahmadi, M. (2018), "Shear resistance prediction of concrete beams reinforced by FRP bars using artificial neural networks", Measure., 126, 299-308. https://doi.org/10.1016/j.measurement.2018.05.051.   DOI
14 Razaqpur, A.G., Isgor, B.O., Greenaway, S. and Selley, A. (2004), "Concrete contribution to the shear resistance of fiber reinforced polymer reinforced concrete members", J. Compos. Constr., 8(5), 452-460. https://doi.org/10.1061/(ASCE)1090-0268(2004)8:5(452).   DOI
15 Stanik, B.A. (1998), "The influence of concrete strength, distribution of longitudinal reinforcement, amount of transverse reinforcement and member size on shear strength of reinforced concrete members", MSc Thesis, University of Toronto, Canada.
16 Alzabeebee, S., Alshkane, Y.M., Al-Taie, A.J. and Rashed, K.A. (2021a), "Soft computing of the recompression index of fine-grained soils", Soft Comput., 25, 15297-15312. https://doi.org/10.1007/s00500-021-06123-3.   DOI
17 Steiner, S., El-Sayed, A.K. and Benmokrane, B. (2008), "Shear behaviour of large-size beams reinforced with glass FRP bars", Proceedings Annual Conference-Canadian Society for Civil Engineering, 1397-1406.
18 Yost, J.R., Gross, S.P. and Dinehart, D.W. (2001), "Shear strength of normal strength concrete beams reinforced with deformed GFRP bars", J. Compos. Constr., 5(4), 268-275. https://doi.org/10.1061/(ASCE)1090-0268(2001)5:4(268).   DOI
19 Abdul-Salam, B., Farghaly, A.S. and Benmokrane, B. (2016), "Mechanisms of shear resistance of one-way concrete slabs reinforced with FRP bars", Constr. Build. Mater., 127, 959-970. https://doi.org/10.1016/j.conbuildmat.2016.10.015.   DOI
20 Alzabeebee, S. and Chapman, D.N. (2020), "Evolutionary computing to determine the skin friction capacity of piles embedded in clay and evaluation of the available analytical methods", Transp. Geotech., 24, 100372. https://doi.org/10.1016/j.trgeo.2020.100372.   DOI
21 El-Sayed, A., El-Salakawy, E. and Benmokrane, B. (2005), "Shear strength of one-way concrete slabs reinforced with fiber-reinforced polymer composite bars", J. Compos. Constr., 9(2), 147-157. https://doi.org/10.1061/(ASCE)1090-0268(2005)9:2(147).   DOI
22 Ashour, A.F. (2006), "Flexural and shear capacities of concrete beams reinforced with GFRP bars", Constr. Build. Mater., 20(10), 1005-1015. https://doi.org/10.1016/j.conbuildmat.2005.06.023.   DOI
23 Bentz, E.C., Massam, L. and Collins, M.P. (2010), "Shear strength of large concrete members with FRP reinforcement", J. Compos. Constr., 14(6), 637-646. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000108.   DOI
24 CSA S806-12 (2012), Design and Construction of Building structures with Fibre-Reinforced Polymer, Canadian Standards Association.
25 Han, B., Sun, J.B., Heidarzadeh, M., Jam, M.M. and Benjeddou, O. (2021), "Three dimensional dynamic soil interaction analysis in time domain through the soft computing", Steel Compos. Struct., 41(5), 761-773. https://doi.org/10.12989/scs.2021.41.5.761.   DOI
26 Jumaa, G.B. and Yousif, A.R. (2018), "Predicting shear capacity of FRP-reinforced concrete beams without stirrups by artificial neural networks, gene expression programming, and regression analysis", Adv. Civil Eng., 5157824. https://doi.org/10.1155/2018/5157824.   DOI
27 Kaszubska, M., Kotynia, R. and Barros, J.A. (2017), "Influence of longitudinal GFRP reinforcement ratio on shear capacity of concrete beams without stirrups", Proc. Eng., 193, 361-368. https://doi.org/10.1016/j.proeng.2017.06.225.   DOI
28 Mari, A., Cladera, A., Oller, E. and Bairan, J. (2014), "Shear design of FRP reinforced concrete beams without transverse reinforcement", Compos. Part B: Eng., 57, 228-241. https://doi.org/10.1016/j.compositesb.2013.10.005.   DOI
29 Zuhaira, A.A., Al-Hamd, R.K S., Alzabeebee, S. and Cunningham, L.S. (2021), "Numerical investigation of skimming flow characteristics over non-uniform gabion-stepped spillways", Innov. Infrastr. Solut., 6, 225. https://doi.org/10.1007/s41062-021-00579-w.   DOI
30 Mohammadzadeh S,D., Kazemi, S.F., Mosavi, A., Nasseralshariati, E. and Tah, J.H. (2019), "Prediction of compression index of fine-grained soils using a gene expression programming model", Infrastruct., 4(2), 26. https://doi.org/10.3390/infrastructures4020026.   DOI
31 Tureyen, A.K. and Frosch, R.J. (2002), "Shear tests of FRP-reinforced concrete beams without stirrups", ACI Struct. J., 99(4), 427-434.
32 Giustolisi, O. and Savic, D.A. (2006), "A symbolic data-driven technique based on evolutionary polynomial regression", J. Hydroinform, 8(3), 207-222. http://dx.doi.org/10.2166/hydro.2006.020.   DOI
33 Alzabeebee, S. (2022a), "Application of EPR-MOGA in computing the liquefaction-induced settlement of a building subjected to seismic shake", Eng. Comput., 38, 437-448. https://doi.org/10.1007/s00366-020-01159-9.   DOI
34 Alam, M.S. and Hussein, A. (2017), "Relationship between the shear capacity and the flexural cracking load of FRP reinforced concrete beams", Constr. Build. Mater., 154, 819-828. https://doi.org/10.1016/j.conbuildmat.2017.08.006.   DOI
35 Alkhrdaji, T., Wideman, M., Belarbi, A. and Nanni, A. (2001), "Shear strength of GFRP RC beams and slabs. In Proceedings of the international conference", Composites in Construction-CCC, October.
36 Alkroosh, I., Alzabeebee, S. and Al-Taie, A.J. (2020), "Evaluation of the accuracy of commonly used empirical correlations in predicting the compression index of Iraqi fine-grained soils", Innov. Infrastr. Solut., 5(3), 1-10. https://doi.org/10.1007/s41062-020-00321-y.   DOI
37 Almustafa, M.K. and Nehdi, M.L. (2022), "Machine learning model for predicting structural response of RC columns subjected to blast loading", Int. J. Impact Eng., 162, 104145. https://doi.org/10.1016/j.ijimpeng.2021.104145.   DOI
38 Alzabeebee, S. (2020), "Dynamic response and design of a skirted strip foundation subjected to vertical vibration", Geomech. Eng., 20(4), 345-358. https://doi.org/10.12989/gae.2020.20.4.345.   DOI
39 Alzabeebee, S. (2022b), "Explicit soft computing model to predict the undrained bearing capacity of footing resting on aggregate pier reinforced cohesive ground", Innov. Infrastr. Solut., 7, 105. https://doi.org/10.1007/s41062-021-00706-7.   DOI
40 Alzabeebee, S., Mohamad, S.A. and Al-Hamd, R.K.S. (2021b), "Surrogate models to predict maximum dry unit weight, optimum moisture content and California bearing ratio form grain size distribution curve", Road Mater. Pave. Des., 1-18. https://doi.org/10.1080/14680629.2021.1995471.   DOI
41 Alzabeebee, S., Chapman, D. and Faramarzi, A. (2018), "Development of a novel model to estimate bedding factors to ensure the economic and robust design of rigid pipes under soil loads", Tunn. Undergr. Sp. Technol., 71, 567-578. https://doi.org/10.1016/j.tust.2017.11.009.   DOI
42 Asteris, P.G., Lemonis, M.E., Nguyen, T.A., Van Le, H., Pham, B.T. and Structures, C. (2021), "Soft computing-based estimation of ultimate axial load of rectangular concrete-filled steel tubes", Steel Compos. Struct., 39(4), 471-491. https://doi.org/10.12989/scs.2021.39.4.471.   DOI
43 Dhahir, M.K. and Nadir, W. (2018), "A compression field based model to assess the shear strength of concrete beams reinforced with longitudinal FRP bars", Constr. Build. Mater., 191, 736-751. https://doi.org/10.1016/j.cscm.2018.e00210.   DOI
44 Babaei, K. and Hawkins, N.M. (1988), "Evaluation of bridge deck protective strategies", Concete Int., 10(12), 56-66.
45 CAN/CSA S6-10 Addendum (Canadian Standard Association) (2010), Canadian Highway Bridge Design Code, Canadian Standard Association.
46 Collins, M.P. and Kuchma, D. (1999), "How safe are our large, lightly reinforced concrete beams, slabs, and footings?", ACI Struct. J., 96(4), 482-490.
47 El-Salakawy, E., Benmokrane, B. and Desgagne, G. (2003), "Fibre-reinforced polymer composite bars for the concrete deck slab of Wotton Bridge", Can. J. Civil Eng., 30(5), 861-870. https://doi.org/10.1139/l03-055.   DOI
48 El-Sayed, A.K., El-Salakawy, E.F. and Benmokrane, B. (2006a), "Shear capacity of high-strength concrete beams reinforced with FRP bars", ACI Struct. J., 103(3), 383-389.
49 El-Sayed, A.K., El-Salakawy, E.F. and Benmokrane, B. (2006b), "Shear strength of FRP-reinforced concrete beams without transverse reinforcement", ACI Struct. J., 103(2), 235-243.
50 ACI 440.1R-15 (ACI committee 440) (2015), Guide for the Design and Construction of Structural Concrete Reinforced with Fiber-Reinforced Polymer (FRP) Bars, American Concrete Institute.
51 Alam, M.S. and Hussein, A. (2011), "Experimental investigation on the effect of longitudinal reinforcement on shear strength of fibre reinforced polymer reinforced concrete beams", Can. J. Civil Eng., 38(3), 243-251. https://doi.org/10.1139/L10-126.   DOI