Predicting shear strength of slender beams without reinforcement using hybrid gradient boosting trees and optimization algorithms
Thuy-Anh NGUYEN, Hai-Bang LY, Van Quan TRAN
Predicting shear strength of slender beams without reinforcement using hybrid gradient boosting trees and optimization algorithms
Shear failure of slender reinforced concrete beams without stirrups has surely been a complicated occurrence that has proven challenging to adequately understand. The primary purpose of this work is to develop machine learning models capable of reliably predicting the shear strength of non-shear-reinforced slender beams (SB). A database encompassing 1118 experimental findings from the relevant literature was compiled, containing eight distinct factors. Gradient Boosting (GB) technique was developed and evaluated in combination with three different optimization algorithms, namely Particle Swarm Optimization (PSO), Random Annealing Optimization (RA), and Simulated Annealing Optimization (SA). The findings suggested that GB-SA could deliver strong prediction results and effectively generalizes the connection between the input and output variables. Shap values and two-dimensional PDP analysis were then carried out. Engineers may use the findings in this work to define beam's geometrical components and material used to achieve the desired shear strength of SB without reinforcement.
slender beam / shear strength / gradient boosting / optimization algorithms
[1] |
Collins M P, Mitchell D, Adebar P, Vecchio F J. A general shear design method. ACI Structural Journal, 1996, 93(1): 36–45
|
[2] |
Smith K N, Vantsiotis A S. Shear strength of deep beams. Journal Proceedings, 1982, 79(3): 201–213
|
[3] |
IsmailK S. Shear behaviour of reinforced concrete deep beams. Dissertation for the Doctoral Degree. Sheffield: University of Sheffield, 2016
|
[4] |
Kwak Y K, Eberhard M O, Kim W S, Kim J. Shear strength of steel fiber-reinforced concrete beams without stirrups. ACI Structural Journal, 2002, 99(4): 530–538
|
[5] |
Birkeland P W, Birkeland H W. Connections in precast concrete construction. Journal Proceedings, 1966, 63(3): 345–368
|
[6] |
ReganP E. Research on shear: a benefit to humanity or a waste of time? Structural Engineering, 1993, 71(19): 37–47
|
[7] |
Choi K K, Hong-Gun P, Wight J K. Unified shear strength model for reinforced concrete beams-Part I: Development. ACI Structural Journal, 2007, 104(2): 142
|
[8] |
NielsenM PBraestrupM WJensenB CBachF. Concrete Plasticity: Beam Shear—Shear in Joints—Punching Shear. Copenhagen: Danish Society for Structural Science and Engineering, 1978
|
[9] |
KaniG. How safe are our large reinforced concrete beams? Journal Proceedings, 1967, 64(3): 128–141
|
[10] |
CollinsM PKuchmaD. How safe are our large, lightly reinforced concrete beams, slabs, and footings? Structural Journal, 1999, 96(4): 482–490
|
[11] |
Bazant Z P, Kim J K. Size effect in shear failure of longitudinally reinforced beams. Journal of the American Concrete Institute, 1984, 81(5): 456–468
|
[12] |
Russo G, Zingone G. Flexure-shear interaction model for longitudinally reinforced beams. Structural Journal, 1991, 88(1): 60–68
|
[13] |
Shioya T, Iguro M, Nojiri Y, Akiyama H, Okada T. Shear strength of large reinforced concrete beams. Special Publication, 1990, 118: 259–280
|
[14] |
Zhang J, Sun Y, Li G, Wang Y, Sun J, Li J. Machine-learning-assisted shear strength prediction of reinforced concrete beams with and without stirrups. Engineering with Computers, 2020, 38: 1293–1307
|
[15] |
Zsutty T C. Beam shear strength prediction by analysis of existing data. Journal Proceedings, 1968, 65(11): 943–951
|
[16] |
Niwa J, Yamada K, Yokozawa K, Okamura H. Revaluation of the equation for shear strength of reinforced concrete beams without web reinforcement. Doboku Gakkai Rombunshuu, 1986, 1986(372): 167–176
CrossRef
Google scholar
|
[17] |
Sarsam K F, Al-Musawi J M. Shear design of high-and normal strength concrete beams with web reinforcement. Structural Journal, 1992, 89(6): 658–664
|
[18] |
BSEN 1992-1-1:2004. Eurocode 2: Design of Concrete Structures—Part 1-1: General Rules and Rules for Biddings. Brussels: European Committee for Standardization, 2015
|
[19] |
ACI318M-0. Building Code Requirements for Structural Concrete and Commentary. Farmington Hills: American Concrete Institute, 2008
|
[20] |
Russo G, Puleri G. Stirrup effectiveness in reinforced concrete beams under flexure and shear. Structural Journal, 1997, 94(3): 227–238
|
[21] |
Lampert P, Thürlimann B. Ultimate strength and design of reinforced concrete beams in torsion and bending. In: Ultimate Strength and Design of Reinforced Concrete Beams in Torsion and Bending. Basel: Springer, 1972,
|
[22] |
Kupfer H, Bulicek H. A consistent model for the design of shear reinforcement in slender beams with I- or Box-shaped cross section. Proceedings, Symposium on Concrete Shear in Earthquake, 1992,
|
[23] |
Vecchio F J, Collins M P. The modified compression-field theory for reinforced concrete elements subjected to shear. Journal of the American Concrete Institute, 1986, 83(2): 219–231
|
[24] |
Marti P. Basic tools of reinforced concrete beam design. Journal Proceedings, 1985, 82(1): 46–56
|
[25] |
RabczukTZiGBordasSNguyen-XuanH. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37−40): 2437−2455
|
[26] |
Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343
CrossRef
Google scholar
|
[27] |
RabczukTBelytschkoT. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29−30): 2777−2799
|
[28] |
Gan D, Zhou Z, Yan F, Zhou X. Shear transfer capacity of composite sections in steel tubed-reinforced-concrete frames. Structures, 2017, 12: 54–63
|
[29] |
Xu T, Castel A, Gilbert R I. On the reliability of serviceability calculations for flexural cracked reinforced concrete beams. Structures, 2018, 13: 201–212
|
[30] |
Ly H B, Le L M, Duong H T, Nguyen T C, Pham T A, Le T T, Le V M, Nguyen-Ngoc L, Pham B T. Hybrid artificial intelligence approaches for predicting critical buckling load of structural members under compression considering the influence of initial geometric imperfections. Applied Sciences (Basel, Switzerland), 2019, 9(11): 2258
CrossRef
Google scholar
|
[31] |
Ly H B, Pham B, Dao D V, Le V M, Le L M, Le T T. Improvement of ANFIS model for prediction of compressive strength of manufactured sand concrete. Applied Sciences (Basel, Switzerland), 2019, 9(18): 3841
CrossRef
Google scholar
|
[32] |
Guo H, Zhuang X, Rabczuk T. A deep collocation method for the bending analysis of Kirchhoff plate. Computers, Materials & Continua, 2019, 59(2): 433–456
CrossRef
Google scholar
|
[33] |
Anitescu C, Atroshchenko E, Alajlan N, Rabczuk T. Artificial neural network methods for the solution of second order boundary value problems. Computers, Materials & Continua, 2019, 59(1): 345–359
CrossRef
Google scholar
|
[34] |
Samaniego E, Anitescu C, Goswami S, Nguyen-Thanh V M, Guo H, Hamdia K, Zhuang X, Rabczuk T. An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications. Computer Methods in Applied Mechanics and Engineering, 2020, 362: 112790
CrossRef
Google scholar
|
[35] |
Zhuang X, Guo H, Alajlan N, Zhu H, Rabczuk T. Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning. European Journal of Mechanics. A, Solids, 2021, 87: 104225
CrossRef
Google scholar
|
[36] |
Guo H, Zhuang X, Chen P, Alajlan N, Rabczuk T. Stochastic deep collocation method based on neural architecture search and transfer learning for heterogeneous porous media. Engineering with Computers, 2022,
CrossRef
Google scholar
|
[37] |
Ly H B, Le T T, Vu H L T, Tran V Q, Le L M, Pham B T. Computational hybrid machine learning based prediction of shear capacity for steel fiber reinforced concrete beams. Sustainability (Basel), 2020, 12(7): 2709
CrossRef
Google scholar
|
[38] |
Lehký D, Slowik O, Novák D. Reliability-based design: Artificial neural networks and double-loop reliability-based optimization approaches. Advances in Engineering Software, 2018, 117: 123–135
CrossRef
Google scholar
|
[39] |
Zhang Y, Hu S, Wu J, Zhang Y, Chen L. Multi-objective optimization of double suction centrifugal pump using Kriging metamodels. Advances in Engineering Software, 2014, 74: 16–26
CrossRef
Google scholar
|
[40] |
Keshtegar B, Hao P, Wang Y, Hu Q. An adaptive response surface method and Gaussian global-best harmony search algorithm for optimization of aircraft stiffened panels. Applied Soft Computing, 2018, 66: 196–207
CrossRef
Google scholar
|
[41] |
Yang I T, Hsieh Y H. Reliability-based design optimization with cooperation between support vector machine and particle swarm optimization. Engineering with Computers, 2013, 29(2): 151–163
CrossRef
Google scholar
|
[42] |
Oreta A W C. Simulating size effect on shear strength of RC beams without stirrups using neural networks. Engineering Structures, 2004, 26(5): 681–691
CrossRef
Google scholar
|
[43] |
Mansour M Y, Dicleli M, Lee J Y, Zhang J. Predicting the shear strength of reinforced concrete beams using artificial neural networks. Engineering Structures, 2004, 26(6): 781–799
CrossRef
Google scholar
|
[44] |
YangK HAshourA FSongJ K. Shear capacity of reinforced concrete beams using neural network. International Journal of Concrete Structures and Materials, 2007, 1(1): 63–73
|
[45] |
Amani J, Moeini R. Prediction of shear strength of reinforced concrete beams using adaptive neuro-fuzzy inference system and artificial neural network. Scientia Iranica, 2012, 19(2): 242–248
CrossRef
Google scholar
|
[46] |
Cladera A, Mari A R. Shear design procedure for reinforced normal and high-strength concrete beams using artificial neural networks. Part II: Beams with stirrups. Engineering Structures, 2004, 26(7): 927–936
CrossRef
Google scholar
|
[47] |
Abdalla J A, Elsanosi A, Abdelwahab A. Modeling and simulation of shear resistance of R/C beams using artificial neural network. Journal of the Franklin Institute, 2007, 344(5): 741–756
CrossRef
Google scholar
|
[48] |
Chou J S, Pham T P T, Nguyen T K, Pham A D, Ngo N T. Shear strength prediction of reinforced concrete beams by baseline, ensemble, and hybrid machine learning models. Soft Computing, 2020, 24(5): 3393–3411
CrossRef
Google scholar
|
[49] |
Al-Shather L M, Redah S M A M. Prediction of shear strength of reinforced concrete beams using Artificial Neural Network and evaluated by Finite Element Software. International Journal of Scientific and Engineering Research, 2018, 9: 34–42
|
[50] |
DopicoJ ROrdóñezJ PBohigasA CGonzález-FonteboaBMartínez-AbellaF. Shear and bond analysis on structural concrete using artificial neural networks. In: The 5th International Engineering and Construction, Conference (IECC’5). Los Angeles: American Society of Civil Engineers, 2008
|
[51] |
Seleemah A A. A multilayer perceptron for predicting the ultimate shear strength of reinforced concrete beams. Journal of Civil Engineering and Construction Technology, 2012, 3(2): 64–79
|
[52] |
Kaveh A, Bakhshpoori T, Hamze-Ziabari S M. Development of predictive models for shear strength of HSC slender beams without web reinforcement using machine-learning based techniques. Scientia Iranica, 2019, 26(2): 709–725
|
[53] |
Mohammed H R M, Ismail S. Proposition of new computer artificial intelligence models for shear strength prediction of reinforced concrete beams. Engineering with Computers, 2021, 38(4): 3739–3757
|
[54] |
Gandomi A H, Alavi A H, Kazemi S, Gandomi M. Formulation of shear strength of slender RC beams using gene expression programming, part I: Without shear reinforcement. Automation in Construction, 2014, 42: 112–121
CrossRef
Google scholar
|
[55] |
Elsanadedy H M, Abbas H, Al-Salloum Y A, Almusallam T H. Shear strength prediction of HSC slender beams without web reinforcement. Materials and Structures, 2016, 49(9): 3749–3772
CrossRef
Google scholar
|
[56] |
Ahmad A, Ostrowski K A, Maślak M, Farooq F, Mehmood I, Nafees A. Comparative study of supervised machine learning algorithms for predicting the compressive strength of concrete at high temperature. Materials (Basel), 2021, 14(15): 4222
CrossRef
Google scholar
|
[57] |
Kaloop M R, Kumar D, Samui P, Hu J W, Kim D. Compressive strength prediction of high-performance concrete using gradient tree boosting machine. Construction & Building Materials, 2020, 264: 120198
CrossRef
Google scholar
|
[58] |
Vu Q V, Truong V H, Thai H T. Machine learning-based prediction of CFST columns using gradient tree boosting algorithm. Composite Structures, 2021, 259: 113505
CrossRef
Google scholar
|
[59] |
Khorsheed M S, Al-Thubaity A O. Comparative evaluation of text classification techniques using a large diverse Arabic dataset. Language Resources and Evaluation, 2013, 47(2): 513–538
CrossRef
Google scholar
|
[60] |
MohammedMKhanM BBashierE B M. Machine Learning: Algorithms and Applications. Boca Raton: CRC Press, 2016
|
[61] |
Kennedy J, Eberhart R. Particle swarm optimization. Proceedings of ICNN’95—International Conference on Neural Networks, 1995, 4: 1942–1948
|
[62] |
GloverF WKochenbergerG A. Handbook of Metaheuristics. New York: Springer Science & Business Media, 2006
|
[63] |
BlankeS. Hyperactive: An optimization and data collection toolbox for convenient and fast prototyping of computationally expensive models. Version 2.3.0. Available at GitHub
|
[64] |
Kohavi R. A study of cross-validation and bootstrap for accuracy estimation and model selection. International Joint Conference on Articial Intelligence (United States), 1995, 14(2): 1137–1145
|
[65] |
Nguyen Q H, Ly H B, Tran V Q, Nguyen T A, Phan V H, Le T T, Pham B T. A novel hybrid model based on a feedforward neural network and one step secant algorithm for prediction of load-bearing capacity of rectangular concrete-filled steel tube columns. Molecules (Basel, Switzerland), 2020, 25(15): 3486
CrossRef
Google scholar
|
[66] |
Ly H B, Nguyen T A, Thi Mai H V, Tran V Q. Development of deep neural network model to predict the compressive strength of rubber concrete. Construction & Building Materials, 2021, 301: 124081
CrossRef
Google scholar
|
[67] |
Ly H B, Nguyen M H, Pham B T. Metaheuristic optimization of Levenberg–Marquardt-based artificial neural network using particle swarm optimization for prediction of foamed concrete compressive strength. Neural Computing & Applications, 2021, 33(24): 17331
CrossRef
Google scholar
|
[68] |
Ly H B, Pham B T, Le L M, Le T T, Le V M, Asteris P G. Estimation of axial load-carrying capacity of concrete-filled steel tubes using surrogate models. Neural Computing & Applications, 2021, 33(8): 3437–3458
CrossRef
Google scholar
|
[69] |
Piotrowski A P, Napiorkowski J J, Piotrowska A E. Population size in particle swarm optimization. Swarm and Evolutionary Computation, 2020, 58: 100718
CrossRef
Google scholar
|
[70] |
EberhartR CShiY. Comparing inertia weights and constriction factors in particle swarm optimization. In: Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No. 00TH8512). IEEE: 2000, 1: 84–88
|
[71] |
ChenTGuestrinC. XGBoost: A scalable tree boosting system. In: Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. New York: Association for Computing Machinery, 2016
|
[72] |
Cortes C, Vapnik V. Support-vector networks. Machine Learning, 1995, 20(3): 273–297
CrossRef
Google scholar
|
[73] |
HuangG BZhuQ YSiewC K. Extreme learning machine: Theory and applications. Neurocomputing, 2006, 70(1−3): 489−501
|
[74] |
KeGMengQFinleyTWangTChenWMaWYeQLiuT. Lightgbm: A highly efficient gradient boosting decision tree. In: Advances in Neural Information Processing Systems 30 (NIPS 2017). Long Beach: Neural Information Processing Systems Foundation, Inc. (NeurIPS), 2017
|
[75] |
DorogushA VErshovVGulinA. CatBoost: gradient boosting with categorical features support. 2018, arXiv:1810.11363
|
[76] |
WalravenJ C. Division of Mechanics and Structures. Report 5-78-4. 1978
|
[77] |
Nadir W, Dhahir M K, Naser F H. A compression field based model to assess the shear strength of concrete slender beams without web reinforcement. Case Studies in Construction Materials, 2018, 9: e00210
CrossRef
Google scholar
|
[78] |
ACI318-11. Building Code Requirements for Structural Concrete and Commentary. Farmington Hills: American Concrete Institute, 2011
|
[79] |
CSAA23.3-14. Design of Concrete Structures. Mississauga: Canadian Standards Association, 2004
|
/
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