Flexural and Shear Design of FRP Plated RC Structures Using a Genetic Algorithm
Publication: Journal of Structural Engineering
Volume 135, Issue 11
Abstract
A design procedure implementing a genetic algorithm has been developed for the discrete optimization of the design of fiber-reinforced polymer (FRP) RC structures. The aims of the procedure are to minimize the material costs of strengthening RC beams for flexural and shear behavior. The ultimate limit states and the serviceability limit states are defined according to the European design guidelines for the use of FRP reinforcement in RC structures in accordance with the design format of Eurocode No. 2. The design variables are encoded in order to make use of genetic algorithms as an optimization routine. Comparative studies are presented to study the effect of the different parameters and characteristics of the genetic algorithm. Different aspects covered in the European design code are also considered in the design procedure.
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Acknowledgments
The writers acknowledge the support of the Spanish Ministry of Education and Science (Project No. UNSPECIFIEDBIA2004-06272) and the Spanish Ministry of Public Works (Project No. UNSPECIFIED80010/A04) for the work reported in this paper.
References
ACI. (2002). “Guide for the design and construction of externally bonded FRP systems for strengthening concrete structures.” ACI 440.2R-02, Detroit.
Aprile, A., and Benedetti, A. (2004). “Coupled flexural-shear design of R/C beams strengthened with FRP.” Composites, Part B, 35, 1–25.
Aprile, A., and Feo, L. (2007). “Concrete cover rip-off of R/C beams strengthened with FRP composites.” Composites, Part B, 38(5–6), 759–771.
Arya, C., Clarke, J. L., Kay, E. A., and O’Regan, P. D. (2002). “TR55: Design guidance for strengthening concrete structures using fibre composite materials: A review.” Eng. Struct., 24, 889–900.
Barnes, R., and Fidell, J. (2006). “Performance in fire of small-scale CFRP strengthened concrete beams.” J. Compos. Constr., 10(6), 503–508.
Blaschko, M. (1997). “Strengthening with CFRP.” Proc., Münchner Massivbau Seminar, Technical Univ. of Munich, Germany.
BSI. (1992). “Design of concrete structures. Part 1: General rules and rules for buildings.” Eurocode No. 2, London.
Buchan, P. A., and Chen, J. F. (2007). “Blast resistance of FRP composites and polymer strengthened concrete and masonry structures: A state-of-the-art review.” Composites, Part B, 38(5–6), 509–522.
Camp, C. V., Pezeshk, S., and Hansson, H. (2003). “Flexural design of reinforced concrete frames using a genetic algorithm.” J. Struct. Eng., 129(1), 105–115.
Carolin, A., and Täljsten, B. (2005). “Experimental study of strengthening for increased shear bearing capacity.” J. Compos. Constr., 9(6), 488–496.
Coello, C. A. (2002). “Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: A survey of the state of the art.” Comput. Methods Appl. Mech. Eng., 191, 1245–1287.
Coit, D. W., Smith, A. E., and Tate, D. M. (1996). “Adaptive penalty methods for genetic optimization of constrained combinatorial problems.” INFORMS J. Comput., 8(2), 173–182.
The Concrete Society. (2000). “Design guidance for strengthening concrete structures using fibre composite materials.” Technical Rep. No. 55, Cromwell Press, Trowbridge, Wiltshire, U.K.
Erbatur, F., Hasançebi, O., Tütüncü, I., and Kiliç, H. (2000). “Optimal design of planar and space structures with genetic algorithms.” Compos. Struct., 75, 209–224.
FIB. (2001). “Externally bonded FRP reinforcement for RC structures. Design and use of externally bonded fibre reinforced polymer reinforcement (FRP EBR) for reinforced concrete structures.” Bulletin Rep. No. 14, Int. Federation of Structural Concrete, Lausanne, Switzerland.
Gen, M., and Cheng, R. (1996). “A survey of penalty techniques in genetic algorithms.” Proc., 6th Int. Symp. on Robotics and Manufacturing (ISRAM’96), Montpellier, France.
German Institute of Construction Technology. (1997). Authorisation No. Z-36, Berlin.
Goldberg, D. (1989). Genetic algorithms in search, optimization, and machine learning, Addison-Wesley, Reading, Mass.
Holland, J. (1975). Adaptation in natural and artificial systems, MIT Press, Cambridge, Mass.
Isis Canada. (2001). “Strengthening reinforced concrete structures with externally-bonded fibre reinforced polymers.” Design manual No. 4, The Canadian Network of Centres of Excellence on Intelligent Sensing for Innovative Structures, Univ. of Manitoba, Winnepeg, MB, Canada.
Jansze, W. (1997). “Strengthening of reinforced concrete members in bending by externally bonded steel plates.” Ph.D. dissertation, Univ. of Technology, Delft, The Netherlands.
Lagaros, N. D., Papadrakakis, M., and Kokossalakis, G. (2002). “Structural optimization using evolutionary algorithms.” Compos. Struct., 80, 571–589.
Matthys, S. (2000). “Structural behaviour and design of concrete members strengthened with externally bonded FRP reinforcement.” Ph.D. thesis, Ghent Univ., Belgium.
Neubauer, U., and Rostasy, F. S. (1997). “Design aspects of concrete structures strengthened with externally bonded CFRP-plates.” Proc., 7th Int. Conf. on Structural Faults and Repairs, Vol. 2, Univ. of Edinburgh, Scotland, 109–118.
Niedermeier, R. (2000). “Envelope line of tensile forces while using externally bonded reinforcement.” Ph.D. dissertation, Technical Univ. of Munich, Germany.
Oehlers, D. J., and Seracino, R. (2004). Design of FRP and steel plated RC structures: Retrofitting beams and slabs for strength, stiffness, and ductility, Elsevier Science, Oxford.
Ozbakkaloglu, T., and Saatcioglu, M. (2007). “Seismic performance of square high-strength concrete columns in FRP stay-in-place formwork.” J. Struct. Eng., 133(1), 44–56.
Rajeev, S., and Krishnamoorthy, C. S. (1998). “Genetic algorithms-based methodology for design optimization of reinforced concrete frames.” Comput. Aided Civ. Infrastruct. Eng., 13, 63–74.
SikaWrap 530 C. (2007). Brochure, ⟨http://www.sika.com.ec/sika_tds/92569.pdf⟩ (2006).
Smith, S. T., and Teng, J. G. (2002). “FRP-strengthened RC beams. I. Review of debonding strength models.” Eng. Struct., 24, 385–395.
Täljsten, B. (1997). “Defining anchor lengths of steel and CFRP plates bonded to concrete.” Int. J. Adhes. Adhes., 17(4), 319–327.
Täljsten, B. (2003). “Strengthening concrete beams for shear with CFRP sheets.” Construct. Build. Mater., 17, 15–26.
Teng, J. G., Chen, J. F., Smith, S. T., and Lam, L. (2002). FRP strengthened RC structures, Wiley, West Sussex, England.
Teng, J. G., Yuan, H., and Chen, J. F. (2006). “FRP-to-concrete interfaces between two adjacent cracks: Theoretical model for debonding failure.” Int. J. Solids Struct., 43(18–19), 5750–5778.
Toutanji, H., Saxena, P., Zhao, L., and Ooi, T. (2007). “Prediction of interfacial bond failure of FRP-concrete surface.” J. Compos. Constr., 11(4), 427–436.
Triantafillou, T. C. (1998). “Shear strengthening of reinforced concrete beams using epoxy-bonded FRP composites.” ACI Struct. J., 95(2), 107–115.
Triantafillou, T. C., and Antonopoulos, C. P. (2000). “Design of concrete flexural members strengthened in shear with FRP.” J. Compos. Constr., 4(4), 198–205.
Yao, J., and Teng, J. G. (2007). “Plate end debonding in FRP-plated RC beams—I. Experiments.” Eng. Struct., 29(10), 2457–2471.
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Information
Published In
Journal of Structural Engineering
Volume 135 • Issue 11 • November 2009
Pages: 1418 - 1429
Copyright
© 2009 ASCE.
History
Received: May 7, 2007
Accepted: May 12, 2009
Published online: Oct 15, 2009
Published in print: Nov 2009
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