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A new formulation for prediction of the shear capacity of FRP in strengthened reinforced concrete beams

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Abstract

The use of fiber-reinforced polymer (FRP) to strength the concrete beams is an efficient method in retrofitting of preexisting structures. The application of FRP sheets makes to have higher shear strength, but the common equations in determining the shear strength are no longer effective. In this paper, a new formulation is presented to predict the shear contribution of FRP in strengthened reinforced concrete beams. The formula is produced using the multigene genetic programming (MGP) machine. For this purpose, a set of experimental data is collected from the literature. The shear capacity of FRP in reinforced concrete (RC) beams is considered as the output data, while other variables are considered as the input data. MGP is trained with the experimental data and a formula is produced. The results of the proposed formula are compared with the experimental data to show the ability of the proposed formula. Also, these results are compared with those obtained from the available formulas, approximation models and published researches. Results show that the proposed formula is able to predict the shear capacity of FRP in strengthened RC beams with a higher precision than the other evaluated methods such as CIDAR, Fib.TG9.3, ACI and CSA. The mean absolute percentage error for the MGP formula was reduced about 74% in comparison with the CIDAR equations. Also, the root-mean-squared-error of the MGP formula was decreased near 71% in comparison with the Fib.TG9.3 equations.

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Acknowledgements

The authors would like to show their appreciations to HPC center (Shahr-e-Kord University, Iran) for their collaboration in offering computational clusters, which was a great help to complete this work. This study has not been funded.

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  1. Department of Civil Engineering, Shahrekord University, Shahrekord, Iran

    Reza Kamgar & Heisam Heidarzadeh

  2. Department of Civil Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran

    Mohammad Hadi Bagherinejad

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  1. Reza Kamgar
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Appendix

Appendix

The collected data for training and testing are indicated in Table 9. The testing data are marked with “*” in Table 9.

Table 9 Collected data for training and testing
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Kamgar, R., Bagherinejad, M.H. & Heidarzadeh, H. A new formulation for prediction of the shear capacity of FRP in strengthened reinforced concrete beams. Soft Comput 24, 6871–6887 (2020). https://doi.org/10.1007/s00500-019-04325-4

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