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Optimal Design of Fibrous Concrete Beams through Simulated Annealing

D. Suji*, S.C. Natesan**, R. Murugesan***, R. Sanjai Prabhu****

*Research Scholar, Sathyabama Institute of Science and Technology, Chennai, Tamil Nadu. India

**Principal, VLB. Janakiammal College of Engineering and Technology, Coimbatore, Tamil Nadu, India

***Principal, Gojan School of Business and Technology, Red hills, Chennai Tamil Nadu,India

****Under graduate Student,Department of Computer Science and Engineering, PSG College of Technology, Coimbatore, T.N., India

Periodicity:November - January'2007
DOI : https://doi.org/10.26634/jfet.2.2.887

Abstract

In this paper, formulation and solution technique using Simulated Annealing for optimizing the moment capacity of steel fiber reinforced concrete beams, with random orientated steel fibers, is presented along with identification of design variables, objective function and constraints. Steel fibers form an expensive constituent of steel fiber concrete and therefore it is important to determine ways and means of using these fibers in a judicial way with care consistent with economy for achieving the desired benefits. The most important factors which influence the ultimate load carrying capacity of FRC are the volume percentage of the fibers, their aspect ratios and bond characteristics. Hence an attempt has been made to analyze the effective contribution of fibers to bending of reinforced fiber concrete beams. Equations are derived to predict the ultimate strength in flexure of SFRC beam with uniformly dispersed and randomly oriented steel fibers. Predicted strengths using the derived expressions have been compared with the experimental data. A reasonable agreement (within the range of ± 20 percent!) was evident with different types of steel fibers, aspect ratio, and material characteristics. A computer coding has been developed based on the formulations and the influence of various parameters on the ultimate flexural strength is discussed. A computer algorithm that conducts a random search in the space of four variables- beam width, beam depth, fiber content and aspect ratio- to yield an optimum solution for a given objective function (ultimate moment (Mu))is presented. The outlined methods provide a simple and effective tool to assess the optimum flexural strength of steel fiber reinforced concrete beams. Using the results obtained the influence of various parameters on the ultimate strength are discussed. Particular attentions are given to the construction practice as well as the reduction of searching space. It has been shown that within a reasonable and finite number of searching the developed algorithm is able to yield optimum solutions for the given objective function.

Keywords

Optimization, Fiber Reinforced Concrete, Flexure, Shear, Simulated Annealing.

How to Cite this Article?

D. Suji, S.C. Natesan, R. Murugesan and R. Sanjai Prabhu (2007). Optimal Design Of Fibrous Concrete Beams Through Simulated Annealing. i-manager’s Journal on Future Engineering and Technology, 2(2), 48-62. https://doi.org/10.26634/jfet.2.2.887

References

[1] ACI Committee 318 , Building code Requirements for Reinforced Concrete and Commentary(ACI 318 -89/ACI 318-89).American Concrete Institute,Detroit.1989;353.

[2] Adamu, A., and Karihaloo,B.L. Minimum cost design of reinforced concrete beams using continuum -type optimally criteria ,Structural Optimization 1994;(7) :91-102

[3]BS 8110:part 1:1985 and part 2:1985

[4]Byung Hwan Oh.Flexural Analysis of reinforced Concrete Beams Containing steel Fibers,Journal of Structural Engineering ASCE 1992;118(10):2821 - 2835.

[5]Cohn,M.Z. and Lounis.Z Optimal design structural concrete bridge systems,Journal of Structural Engineering ASCE 1994; 120 (9): 2653 -2674.

[6]Cooper G.A(1971)Rev.Phys in Tech 2,49.

[7]Cox,H.L.The elasticity and strength of paper and other fibrous materials,British Journal of Applied physics 1952;(3)"72-79.

[8]Ezeldin,A.,and Cheng -Tzu Thomas Hsu,Optimization of Reinforced Fibrous Concrete Beams ,Journal of Structural Engineering ACI 1992;89(1) : 106 -114.

[9]Henager , C.N. , and Doherty ,The Analysis of Reinforced Fibrous Concrete Beams,Journal of the Structural Division ASCE 1976;(102)No,ST1: 177-188.

[10] Kirkpatrick,S.,Gelatt,C.D.Jr and Vecchi, M.P.Optimization by simulated Annealing,Science,1983 Vol.220,No 4598,.671-680.

[11]Kukreja , C.B.,Kaushik,S.K.,Kanchi,M.B., and Jain O.P. Tensile strength of steel fibre reinforced concrete,Indian concrete Journal 1980;184-188.

[12]Narayanan,R.,and Darwish,I.Y.S. use of steel fibers as shear Reinforcement,Structural Journal, ACI 1987;84(3):216 -227

[13]Rajagopalan , K.,Parameshwaran, V.S., and Ramaswamy ,G.S.Strength of steel fiber Reinforced concrete beams,Indian Concrete Journal 1974; 17-25.

[14] Rajeev, S., and Krishnamoorty ,C.S.Discrete optimization of structures using Genetic Algorithms, Jounal of structural Engineering1992;118(5):1233-1250.

[15]Samar Ezeldin ,A., and Cheng- Tzu Thomas Hsu, Optimization of Reinforced Fibrous Concrete Beams,Journal of structural Engineering ACI 1992;89(1):106 -114.

[16]Soroushian,P., and Bayasi,Z. Fiber type effects on the performance of steel fiber reinforced concrete ,Materials.Journal,ACI 1991;88(2): 129-134.

[17]Swamy ,R.N., and AL-Ta an ,S.A.Deformation and ultimate Strength in flexure of reinforced concrete beams made with Steel Fiber Concrete,Journal Proceedings ,ACI 1981;78(5):395-405.

[18]Swamy ,R.N., and Mangat, P.S.,"The interfacial bond stress in steel Fiber cement Composites,"Cement and Concrete Research,V.6 No,5,Sep .1975,641-650.

[19] Tat -Sanglok and Jin-Songpei ,Flexural behaviour of steel fiber reinforced concrete,Journal of Materials in Civil Engineering ,ASCE,1998;10(2), 88-97.

[20]Veerendrakumar and Dhirendrasinghal,"Flexural strength of reinforced concrete beams containing steel fibers ",Journal of structural Engineering,V.23No 3 ,Oct 1996,145-149.

[21] Wafa,F.F., and Ashor,S.A.Mechanical properties of high strength fiber reinforced concrete,Materials Journal, ACI 1992;88(6):54-60.

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