Technical Papers
Jan 16, 2014

Integrative Sensitivity Analysis Applied to Semi-Integral Concrete Bridges

Publication: Journal of Bridge Engineering
Volume 19, Issue 6

Abstract

In numerical simulations of engineering structures, several physical phenomena are represented by partial models, and the selection of the important partial models is usually based on engineering judgment. The quantitative assessment of how these partial models influence various response quantities is possible using variance-based sensitivity analysis. However, this provides information only on local positions in the structure. The present paper extends the sensitivity analysis at local positions to the integrative sensitivity analysis of the entire structural load-bearing behavior. In addition to the assessment of the partial model’s sensitivity, the method includes the local response significance factor, which relates the sensitivity to the response significance at each position in the structure. The integrative sensitivity analysis is applied to the numerical simulation of semi-integral concrete bridges to evaluate the partial model’s influence with respect to the entire integral structure. The quantitative assessment of the integrative sensitivity for varying pier heights and different loading conditions in the serviceability limit state and the ultimate limit state allows conclusions with practical engineering relevance.

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Acknowledgments

This research is supported by the German Research Foundation (DFG) via research training group “Assessment of Coupled Experimental and Numerical Partial Models in Structural Engineering (GRK 1462),” which is gratefully acknowledged by B. Jung and G. Morgenthal. The close collaboration between Bauhaus-Universität Weimar and Tongji University is also acknowledged. In addition, B. Jung thanks Mr. H. Stutz for the contribution in the pile foundation models.

References

Allaix, D. L., Carbone, V. I., and Mancini, G. (2013). “Global safety format for non-linear analysis of reinforced concrete structures.” Struct. Concr., 14(1), 29–42.
American Concrete Institute (ACI). (1992). “Prediction of creep, shrinkage, and temperature effects in concrete structures.” Rep. No. 209, Detroit.
Balázs, G. L., et al. (2013). “Design for SLS according to fib Model Code 2010.” Struct. Concr., 14(2), 99–123.
Bažant, Z. P., and Bajewa, S. (1995). “Creep and shrinkage prediction model for analysis and design of concrete structures-Model B3.” Mater. Struct., 28(6), 357–365.
Bažant, Z. P., and Li, G.-H. (2008). “Unbiased statistical comparison of creep and shrinkage prediction models.” ACI Mater. J., 105(6), 610–621.
Bloodworth, A. G., Xu, M., Banks, J. R., and Clayton, C. R. I. (2012). “Predicting the earth pressure on integral bridge abutments.” J. Bridge Eng., 371–381.
Cervenka, V. (2013). “Reliability-based non-linear analysis according to fib Model Code 2010.” Struct. Concr., 14(1), 19–28.
Chacòn, R., Mirambell, E., and Real, E. (2013). “Strength and ductility of concrete-filled tabular piers of integral bridges.” Eng. Struct., 46, 234–246.
Comité Euro-International du Beton. (1999). Structural concrete: Textbook on behavior, design and performance—Updated knowledge of the CEB-FIP Model Code 90, Vol. 1–3, Comité Euro-International du Beton, Paris.
Dicleli, M., and Erhan, S. (2010). “Effect of soil-bridge interaction on the magnitude of internal forces in integral abutment bridge components due to live load effects.” Eng. Struct., 32(1), 129–145.
European Committee for Standardization (CEN). (2010a). “Eurocode: Basis of structural design.” EN 1990:2010-12, Brussels, Belgium.
European Committee for Standardization (CEN). (2010b). “Eurocode 1: Actions on structures-Part 1–5: General actions-Thermal actions.” EN 1991-1-5:2010-12, Brussels, Belgium.
Faraji, S., Ting, J. M., Crovo, D. S., and Ernst, H. (2001). “Nonlinear analysis of integral bridges: Finite-element model.” J. Geotech. Geoenviron. Eng., 454–461.
Gardner, N. J., and Lockman, M. J. (2001). “Design provisions for drying shrinkage and creep of normal-strength concrete.” ACI Mater. J., 98(2), 159–167.
German Institute for Standardization (DIN). (2011). “National annex-Eurocode 2: Design of concrete structures-Part 1-1: General rules and rules for buildings.” DIN EN 1992-1-1/NA:2011-01, Beuth, Berlin.
German Institute for Standardization (DIN). (2012). “National annex-Eurocode 2: Design of concrete structures-Part 2: Concrete bridges-Design and detailing rules.” DIN EN 1992-2/NA:2012-04, Beuth, Berlin.
Gribniak, V., Kaklauskas, G., Hung Kwan, A. K., Bacinskas, D., and Ulbinas, D. (2012). “Deriving stress-strain relationships for steel fiber concrete in tension from tests of beams with ordinary reinforcement.” Eng. Struct., 42, 387–395.
Homma, T., and Saltelli, A. (1996). “Importance measures in global sensitivity analysis of nonlinear models.” Reliab. Eng. Syst. Saf., 52(1), 1–17.
Huang, J., Shield, C. K., and French, C. E. W. (2008). “Parametric study of concrete integral abutment bridges.” J. Bridge Eng., 13(5), 511–526.
International Federation for Structural Concrete. (2012). “Model Code 2010: Final draft.” Bulletin 65 Vol. 1 and Bulletin 66 Vol. 2, Lausanne, Switzerland.
Jung, B., Morgenthal, G., and Xu, D. (2013). “Integral bridges: Sensitivity of limit state modelling.” Bautechnik-Special Print Modellqualiäten, 90(4), 32–40.
Kaveh, A. (2004). Structural mechanics: Graph and matrix methods, 3rd Ed., Research Studies Press, Wiley, Exeter, U.K.
Keitel, H. (2013). “Quantifying sources of uncertainty for creep models under varying stresses.” J. Struct. Eng., 949–956.
Keitel, H., Karaki, G., Lahmer, T., Nikulla, S., and Zabel, Z. (2011). “Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis.” Eng. Struct., 33(12), 3726–3736.
Kim, W. S., and Laman, J. A. (2010). “Numerical analysis method for long-term behavior of integral abutment bridges.” Eng. Struct., 32(8), 2247–2257.
Krizek, J. (2011). “Soil-structure interaction of integral bridges.” Struct. Eng. Int., 21(2), 169–174.
Marí, A. R., and Hellesland, J. (2005). “Lower slenderness limits for rectangular reinforced concrete columns.” J. Struct. Eng., 85–95.
Marx, S., and Seidl, G. (2011). “Integral railway bridges in Germany.” Struct. Eng. Int., 21(3), 332–340.
Most, T. (2011). “Assessment of structural simulation models by estimating uncertainties due to model selection and model simplification.” Comput. Struct., 89(17–18), 1664–1672.
Ooi, P. S. K., Lin, X., and Hamada, H. S. (2010). “Numerical study of an integral abutment bridge supported on drilled shafts.” J. Bridge Eng., 19–31.
Poulos, H. G. (1971). “Behavior of laterally loaded piles: II. Pile groups.” J. Soil Mech. and Found. Div., 97(5), 733–751.
Randolph, M. F. (1981). “The response of flexible piles to lateral loading.” Geotechnique, 31(2), 247–259.
Randolph, M. F., and Wroth, C. P. (1979). “An analysis of vertical deformation of pile groups.” Geotechnique, 29(4), 423–439.
Schlune, H., Plos, M., and Gylltoft, K. (2012). “Safety formats for non-linear analysis of concrete structures.” Mag. Concr. Res., 64(7), 563–574.
Sobol, I. (1993). “Sensitivity estimates for nonlinear mathematical models.” Math. Model. Comput. Exp., 1, 407–414.
Wang, J. (2000). “Piers and columns.” Bridge engineering—Handbook, W.-F. Chen and L. Duan, eds., CRC Press, Boca Raton, FL.
Zilch, K., and Zehetmaier, G. (2010). “Bemessung im konstruktiven Betonbau: Nach.” DIN 1045-1 (2008) und EN 1992-1-1 (Eurocode 2), 2nd Ed., Springer, Berlin.
Zordan, T., Briseghella, B., and Lan, C. (2011). “Parametric and pushover analyses on integral abutment bridge.” Eng. Struct., 33(2), 502–515.

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Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 19Issue 6June 2014

History

Received: Jul 17, 2013
Accepted: Nov 25, 2013
Published online: Jan 16, 2014
Published in print: Jun 1, 2014
Discussion open until: Jun 16, 2014

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Authors

Affiliations

Bastian Jung [email protected]
Ph.D. Student, Research Training Group 1462 “Model Quality,” Bauhaus-Universität Weimar, 99423 Weimar, Germany (corresponding author). E-mail: [email protected]
Guido Morgenthal [email protected]
Professor, Dept. of Modelling and Simulation of Structures, Bauhaus-Universität Weimar, 99421 Weimar, Germany. E-mail: [email protected]
Professor, Dept. of Bridge Engineering, Tongji Univ., Shanghai 200092, China. E-mail: [email protected]

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