Technical Papers
Sep 26, 2011

Finite-Element Model Updating and Probabilistic Analysis of Timber-Concrete Composite Beams

Publication: Journal of Structural Engineering
Volume 138, Issue 7

Abstract

Timber-concrete composite beams are an increasingly common design solution for medium-to-long span floors in new buildings. Thus, there is a significant need for accurate models and analysis tools to predict the response and performance of timber-concrete composite beams. In this paper, a nonlinear finite-element (FE) frame model with deformable shear connection is adopted to estimate the short-term structural response of timber-concrete composite beams for which experimental results are available. The FE model is used in conjunction with a probabilistic analysis methodology, which explicitly accounts for the uncertainties in the parameters that describe the constitutive models for timber, concrete, and shear connectors. The objectives of this study are (1) the evaluation of the variability of global and local structural response quantities owing to the uncertainties in the constitutive parameters of timber, concrete, and shear connectors; and (2) the analysis of the correlation between experimental measurements and numerical results based on FE models in which the values of the constitutive parameters are set equal to their experimentally identified mean values and in which the values of the constitutive parameters are optimized through FE model updating, respectively. The results presented in this study show that uncertainties in the constitutive parameters of timber, concrete, and shear connectors have a significant influence on the correlation between the experimental and numerical results. In addition, the optimal values of material parameters obtained using the FE model updating procedure may show substantial variations with respect to the parameters’ mean values as identified in the experimental testing. Prospective developments directed toward design applications and based on the obtained results are also discussed.

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Acknowledgments

The writers would like to acknowledge Mr. Hank Bier (Rotorua, New Zealand) for all of the information provided on the mechanical properties of LVL; Dr. David Yeoh (Universiti Tun Hussein Onn, Malaysia) for providing the experimental data of the composite beams tested in New Zealand, as well as the mechanical properties of the concrete and connection systems used in the same composite beams; and Ms. Melissa G. Schultz for the help kindly provided in proofreading the manuscript. The writers gratefully acknowledge partial support of this research by the LSU Council on Research through the 2009–2010 Faculty Research Grant Program; the Longwell’s Family Foundation through the Fund for Innovation in Engineering Research (FIER) Program; and the Louisiana Board of Regents (LA BoR) through the Louisiana Board of Regents Research and Development Program, Research Competitiveness (RCS) subprogram under Award No. LESQSF(2010-13)-RD-A-01. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the writers and do not necessarily reflect the views of the sponsors.

References

AASHTO. (2004). LRFD bridge design specifications, AASHTO, Washington, DC.
Balogh, J., Fragiacomo, M., Gutkowski, R. M., and Fast, R. S. (2008). “Influence of repeated and sustained loading on the performance of layered wood-concrete composite beams.” J. Struct. Eng.JSENDH, 134(3), 430–439.
Barbato, M., and Conte, J. P. (2005). “Finite element response sensitivity analysis: A comparison between force-based and displacement-based frame element models.” Comput. Methods Appl. Mech. Eng.CMMECC, 194(12-16), 1479–1512.
Barbato, M., Gu, Q., and Conte, J. P. (2010). “Probabilistic push-over analysis of structural and soil-structure systems.” J. Struct. Eng.JSENDH, 136(11), 1330–1341.
Barbato, M., Zona, A., and Conte, J. P. (2007). “Finite element response sensitivity analysis using three-field mixed formulation: General theory and application to frame structures.” Int. J. Numer. Methods Eng.IJNMBH, 69(1), 114–161.
Baruch, M. (1982). “Methods of reference basis for identification of linear dynamic structures.” Proc., 23rd Structures, Structural Dynamics and Materials Conf., New Orleans, May, AIAA, New York.
Bathon, L., Bletz, O., and Schmidt, J. (2006). “Hurricane proof buildings—an innovative solution using prefabricated modular wood-concrete-composite elements.” Proc., 9th World Conf. on Timber Engineering, Portland, OR (CD-ROM).
Ceccotti, A. (2002). “Composite concrete-timber structures.” Prog. Struct. Eng. Mater., 4(3), 264–275.
Ceccotti, A., Fragiacomo, M., and Giordano, S. (2007). “Long-term and collapse tests on a timber-concrete composite beam with glued-in connection.” Mater. Struct., 40(1), 15–25.MASTED
Conte, J. P., Barbato, M., and Spacone, E. (2004). “Finite-element response sensitivity analysis using force-based frame models.” Int. J. Numer. Methods Eng.IJNMBH, 59(13), 1781–1820.
Conte, J. P., Vijalapura, P. K., and Meghella, M. (2003). “Consistent finite-element response sensitivity analysis.” J. Eng. Mech.JENMDT, 129(12), 1380–1393.
Dall’Asta, A., and Zona, A. (2002). “Non-linear analysis of composite beams by a displacement approach.” Comput. Struct.CMSTCJ, 80(27–30), 2217–2228.
Dall’Asta, A., and Zona, A. (2004). “Slip locking in finite elements for composite beams with deformable shear connection.” Finite Elem. Anal. Des.FEADEU, 40(13–14), 1907–1930.
Dall’Asta, A., and Zona, A. (2005). “Finite element model for externally prestressed composite beams with deformable connection.” J. Struct. Eng.JSENDH, 131(5), 706–714.
Dias, A. M. P. G., Lopes, S. M. R., Van de Kuilen, J. W. G., and Cruz, H. M. P. (2007). “Load-carrying capacity of timber-concrete joints with dowel-type fasteners.” J. Struct. Eng.JSENDH, 133(5), 720–727.
Ditlevsen, O., and Madsen, H. O. (1996). Structural reliability methods, Wiley, New York.
Edlund, B. (1995). “Tension and compression.” Timber engineering, step 1, 1st Ed., Centrum Hout, Netherlands, B2/1–B2/8.
European Committee for Standardization (CEN). (2002). “Eurocode 0: Basis of structural design.” EN 1990, Brussels.
European Committee for Standardization (CEN). (2004a). “Eurocode 2: Design of concrete structures. Part 1.1: General—general rules and rules for buildings.” EN 1992-1-1, Brussels.
European Committee for Standardization (CEN). (2004b). “Eurocode 5: Design of timber structures. Part 1.1: General—common rules and rules for buildings.” EN 1995-1-1, Brussels.
Fragiacomo, M. (2005). “A finite element model for long-term analysis of timber-concrete composite beams.” Struct. Eng. Mech., 20(2), 173–189.SEGMEQ
Fragiacomo, M. (2006). “Long-term behavior of timber-concrete composite beams. II: Numerical analysis and simplified evaluation.” J. Struct. Eng.JSENDH, 132(1), 23–33.
Fragiacomo, M., Amadio, C., and Macorini, L. (2004). “A finite element model for collapse and long-term analysis of steel-concrete composite beams.” J. Struct. Eng.JSENDH, 130(3), 489–497.
Fragiacomo, M., and Ceccotti, A. (2006). “Long-term behavior of timber-concrete composite beams. I: Finite element modeling and validation.” J. Struct. Eng.JSENDH, 132(1), 13–22.
Friswell, M. I., and Mottershead, J. E. (1995). Finite element model updating in structural dynamics, Kluwer Academic, Dordrecht, Netherlands.
Gutkowski, R., Brown, K., Shigidi, A., and Natterer, J. (2008). “Laboratory tests of composite wood-concrete beams.” Constr. Build. Mater.CBUMEZ, 22(6), 1059–1066.
Gutkowski, R. M., Miller, N., Fragiacomo, M., and Balogh, J. (2011). “Composite wood-concrete beams using utility poles: Time-dependent behavior.” J. Struct. Eng.JSENDH, 137(6), 625–634.
Haftka, R. T., and Gurdal, Z. (1993). Elements of structural optimization, Kluwer, Dordrecht, Netherlands.
Haukaas, T., and Der Kiureghian, A. (2004). “Finite element reliability and sensitivity methods for performance-based engineering.” Rep. PEER 2003/14, Pacific Earthquake Engineering Research Center, Univ. of California at Berkeley, Berkeley, CA.
Haukaas, T., and Der Kiureghian, A. (2005). “Parameter sensitivity and importance measures in nonlinear finite-element reliability analysis.” J. Eng. Mech.JENMDT, 131(10), 1013–1026.
Jaishi, B., Kim, H. J., Kim, M. K., Ren, W. X., and Lee, S. H. (2007). “Finite element model updating of concrete-filled steel tubular arch bridge under operational condition using modal flexibility.” Mech. Syst. Signal Process., 21(6), 2406–2426.
Kleiber, M., Antunez, H., Hien, T. D., and Kowalczyk, P. (1997). Parameter sensitivity in nonlinear mechanics: Theory and finite element computation, Wiley, New York.
Lukaszewska, E., Fragiacomo, M., and Johnsson, H. (2010). “Laboratory tests and numerical analyses of prefabricated timber-concrete composite floors.” J. Struct. Eng.JSENDH, 136(1), 46–55.
MathWorks. (2010a). MATLAB 7 getting started guide, MathWorks, Natick, MA.
MathWorks. (2010b). Optimization toolbox 5 user’s guide, MathWorks, Natick, MA.
Melchers, R. E. (1999). Structural reliability analysis and predictions, 2nd Ed., Wiley, Chichester, United Kingdom.
Mirza, S. A., and MacGregor, J. G. (1979). “Variability of mechanical properties of reinforcing bars.” J. Struct. Div., 105(5), 921–937.JSDEAG
Mottershead, J. E., and Friswell, M. I. (1993). “Model updating in structural dynamics: A survey.” J. Sound Vib., 167(2), 347–375.JSVIAG
Newmark, N. M., Siess, C. P., and Viest, I. M. (1951). “Tests and analysis of composite beams with incomplete interaction.” Proc. Soc. Exp. Stress Anal., 9(1), 75–92.PSESAR
Ollgaard, J. G., Slutter, R. G., and Fisher, J. W. (1971). “Shear strength of stud connectors in lightweight and normal weight concrete.” AISC Eng. J., 8(2), 55–64.
Saenz, L. P. (1964). “Discussion of ‘Equation for the stress-strain curve of concrete’ by P. Desayi and S. Krishnan.” ACI J.JACIAX, 61(9), 1229–1235.
Schänzlin, J. (2003). “Time dependent behavior of composite structures of board stacks and concrete.” Ph.D. thesis, Univ. of Stuttgart, Stuttgart, Germany (in German).
Standards Association of Australia /Standards Association of New Zealand (SAA/SANZ). (2006). “Structural laminated veneer lumber (LVL). Part 3: Determination of structural properties—Evaluation methods.” AUS/NZ 4357.3:2006, Sydney, Australia.
To, L., Fragiacomo, M., Balogh, J., and Gutkowski, R. M. (2011). “Long-term load test of a wood-concrete composite beam.” Proc. Inst. Civ. Eng. Struct. Build., 164(2), 155–163.PCESEL
Wei, F. S. (1990). “Structural dynamic model improvement using vibration test data.” AIAA J., 28(1), 175–177.AIAJAH
Yeoh, D. (2010). “Behavior and design of timber-concrete composite floor systems.” Ph.D. thesis, Univ. of Canterbury, Christchurch, New Zealand.
Yeoh, D., Fragiacomo, M., and Deam, B. (2011a). “Experimental behaviour of LVL-concrete composite floor beams at strength limit state.” Eng. Struct.ENSTDF, 33(9), 2697–2707.
Yeoh, D., Fragiacomo, M., De Franceschi, M., and Buchanan, A. (2011b). “Experimental tests of notched and plate connectors for LVL-concrete composite beams.” J. Struct. Eng.JSENDH, 137(2), 261–269.
Yeoh, D., Fragiacomo, M., De Franceschi, M., and Koh, H. B. (2011c). “State of the art on timber-concrete composite structures: Literature review.” J. Struct. Eng.JSENDH, 137(10), 1085–1095.
Zhang, Q. W., Chang, T. Y. P., and Chang, C. C. (2001). “Finite-element model updating for the Kap Shui Mun cable-stayed bridge.” J. Bridge Eng., 6(4), 285–293.JBENF2
Zivanovic, S., Pavic, A., and Reynolds, P. (2007). “Finite element modelling and updating of a lively footbridge: The complete process.” J. Sound Vib., 301(1-2), 126–145.JSVIAG
Zona, A. (2002). “Finite element modelling of composite beams.” Ph.D. thesis, Univ. of Ancona, Ancona, Italy.
Zona, A., Barbato, M., and Conte, J. P. (2005). “Finite element response sensitivity analysis of steel-concrete composite beams with deformable shear connection.” J. Eng. Mech.JENMDT, 131(11), 1126–1139.
Zona, A., Barbato, M., and Conte, J. P. (2006). “Finite element response sensitivity analysis of continuous steel-concrete composite girders.” Steel Compos. Struct., 6(3), 183–202.
Zona, A., Barbato, M., and Conte, J. P. (2008). “Nonlinear seismic response analysis of steel-concrete composite frames.” J. Struct. Eng.JSENDH, 134(6), 986–997.
Zona, A., Barbato, M., Dall’Asta, A., and Dezi, L. (2010). “Probabilistic analysis for design assessment of continuous steel-concrete composite girders.” J. Constr. Steel Res., 66(7), 897–905.JCSRDL
Zona, A., and Ranzi, G. (2011). “Finite element models for nonlinear analysis of steel-concrete composite beams with partial interaction in combined bending and shear.” Finite Elem. Anal. Des.FEADEU, 47(2), 98–118.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 138Issue 7July 2012
Pages: 899 - 910

History

Received: Feb 19, 2011
Accepted: Sep 23, 2011
Published online: Sep 26, 2011
Published in print: Jul 1, 2012

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Authors

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Alessandro Zona, Ph.D., A.M.ASCE [email protected]
Assistant Professor, School of Architecture and Design, Univ. of Camerino, Viale della Rimembranza, 63100 Ascoli Piceno, Italy. E-mail: [email protected]
Michele Barbato, Ph.D., A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Louisiana State Univ. at Baton Rouge, 3531 Patrick F. Taylor Hall, Nicholson Extension, Baton Rouge, LA 70803 (corresponding author). E-mail: [email protected]
Massimo Fragiacomo, Ph.D. [email protected]
Associate Professor, Dept. of Architecture, Design and Urban Planning, Univ. of Sassari, Palazzo del Pou Salit, Piazza Duomo 6, 07041 Alghero, Italy. E-mail: [email protected]

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