Analytical Modeling of Load-Deflection Curve in Reinforced Concrete Beams

Document Type : Research Article

Authors

1 Assistant Professor, Faculty of Engineering, Islamic Azad University, Roudehen branch, Tehran

2 Professor, Faculty of Civil Engineering, Amirkabir University of Technology, Tehran

3 M.Sc., Construction Management, UTM University of Malaysia, Skudai, Johor, Malaysia

Abstract

During some deflection tests of concrete beams, the measurement instruments are damaged in the concrete failure moment. Because of this damage, load-deflection data becomes insufficient and therefore application of a better method is in need. In the load-deflection relation, the reinforced concrete beam has an elastoplastic behavior and load-deflection curve can be obtained by an analytical model. The aim of this paper is to propose an analytical model to figure out the load-deflection curve in the situation that the measurement instruments are damaged. For this purpose, an experimental model is initially built and concrete strength parameters are calculated through the 4-point test. Then an elastoplastic analytical model is proposed and the same parameters are calculated again. Comparison of the results of two models shows that the error rate of the analytical model is less than 9 percent. Hence, the proposed model has a good agreement with the experimental model and is useful when the measurement instruments are damaged during the test.

Keywords

References

[1] Bayrak O., Sheikh A. Sh., “Plastic hinge analysis”,Journal of structural engineering, Vol. 127, No. 9, pp.
1092-1100, 2001.
[2] Abadalla H. A., “Evaluation of deflection in concrete members reinforced with fiber reinforced polymer
(FRP) bars”, composite structures, Vol. 6, No. 1, pp.63-71, 2002.
[3] Cocchetti G., Maier G., “Elastic- plastic and limit state analysis of frames with softening plastic- hinge
models by mathematical programming”, International Journal of solids and structures, Vol. 40, No. 25, pp.
7219-7244, 2003.
[4] Bischoff P., “Reevaluation of deflection prediction for concrete beams reinforced with steel and fiber
reinforced polymer bars” Journal of structural engineering, vol. 131, No. 5, pp. 752-768, 2005.
[5] Scott M. H., Fenves G. L., “Plastic hinge integration methods for force- based beam- column elements”,
Journal of structural engineering, ASCE, vol. 132, No.2, pp. 244-252, 2006.
[6] Inel M., Ozman H. B., “Effect of plastic hinge properties in nonlinear analysis of reinforced concrete
buildings”, Engineering structures, vol. 28, No.1, pp.1494 – 1502, 2006.
[7] Sonam Jamtsho, “Geometric Modelling of 3D Range Cameras and their Application for Structural
Deformation Measurement”, Student thesis, University of Calgary, 2010.
[8] Kalkan I., “Deflection prediction for reinforced concrete beams through different effective moment of
inertia expressions”, International journal of research & development, vol. 2, No. 1, pp. 72-80, 2010.
[9] He R., Zhong H., “Large deflection elaso- plastic analysis of frames sing the weak- form quadrature
element method”, Finite element in analysis and design, vol. 50, pp. 125-133, 2012.
[10] Hee Sun Kim, Yeong Soo Shin “Flexural behavior of reinforced concrete (RC) beams retrofitted with hybrid
fiber reinforced polymers (FRPs) under sustaining loads”, Composite structures, vol. 93, No. 2, pp. 802-
811, 2011.
[11] Hajighasemali S., Ramezanianpour A. A., Lotfi, V.,“Flexural strength and numerical simulation of ASR
affected beams", 13th international conference on Alkali aggregate reaction in concrete, Norway, 2008.
[12] R. Park, “Evaluation of ductility of structures and structural assemblages from laboratory testing”,
Bulletin of the New zealand National society for earthquake engineering, Vol 22, No 3, September,
1989.
[13] Whiteman T., Lichti D. D., Chandler I., “Measurements of deflection in concrete beams by close- range digital photogrammetry”, ISPRS Commission IV, Symposium on geospatial theory, Processing and applications, vol. 34, Part 4, July, 2012.
[14] Youa,b. Zh., Chenc X., Dongc Sh., “Ductility and strength of hybrid fiber reinforced self-consolidating
concrete beam with low reinforcement ratios”, System Engineering Procedia, vol. 1, pp. 28-34, 2011.
[15] Wang C. M., Lam K. Y., He X. Q., Chucheepsakul S.,“large deflections of an end supported beam subjected
to a point load”, International journal of non- linear mechanics , vol. 32, No.1, pp. 63-72, , 1997.
[16] Mirmiran A., , Mohsen Shahawy M., Samaan M.,“Strength and ductility of hybrid FRP-concrete beamcolumns”,Journal of Structural Engineering, ASCE,vol.125, No. 10, pp, 1085–1093, 1999.
[17] Krishnan S., Hall J. F., “Modeling steel frame building in three dimensions. I: Panel zone and plastic hinge
beam elements”, Journal of engineering mechanics, ASCE, vol. 132, No. 4, pp. 345-358, 2006.
[18] Mendis P., “Plastic hinge lengths of Normal and highstrength concrete in flexure”, Advances in structural
engineering, vol. 4, No.4, pp. 185-195, 2001.
[19] ACI 318-08, “Building code requirements for structural concrete and commentary”, Reported by ACI committee 318.
[20] ACI363R-92 (reapproved 1997), ACI committee 363, state of the art, Report of high-strength concrete.

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