Skip to main content
Log in

Probabilistic distributions of plate buckling strength for normal and bridge high-performance steels

  • Published:
International Journal of Steel Structures Aims and scope Submit manuscript

Abstract

The probabilistic distributions of buckling strengths for compressive plates of normal and bridge high-performance steels were obtained through numerical analyses in order to develop a nominal design strength and a corresponding safety factor. In the numerical analyses, Monte Carlo simulation was used in combination with the response surface method to reduce the effort associated with the finite element analyses. For each value of the slenderness parameter R, a response surface of the normalized local bucking strength was determined based on the results of 114 finite element analyses using different residual stresses and initial defections. The response surface is approximated as a simple algebraic function of the residual stress and the initial deflection. Monte Carlo simulation is then carried out in order to evaluate the probabilistic distribution of the local bucking strength. The mean values obtained in the present study approach those of a mean curve proposed based on experiments. The standard deviation of the present study was approximately half that obtained based on experimental results in the range of 0.6 <R<1.2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bijlaard, F., Sedlacek, G., Muller, C., and Trumpf, H. (2003). “Unified European design rules for steel and composite structures.” International Journal of Steel Structures, 3(2), pp. 117–125.

    Google Scholar 

  • Dassault (2008). Abaqus Theory Manual v.6.8-EF. Dassault Systemes Simulia Corp., Providence, RI, USA.

    Google Scholar 

  • AASHTO (2007). AASHTO LRFD bridge design specifications. 4 th Ed., American Association of State Highway and Transportation Officials.

    Google Scholar 

  • Eurocode (1994). Design of composite steel and concrete structures. Part 2: General rules and rules for bridges. European Committee for Standardization (CEN), Brussels, Belgium.

    Google Scholar 

  • Eurocode (2004). Design of steel structures. Parts 1–5: Plated structural elements. European Committee for Standardization (CEN), Brussels, Belgium.

    Google Scholar 

  • Dwight, J. B. and Moxham, K. E. (1969). “Welded steel plates in compression.” The Structural Engineer, 47(2), pp. 49–66.

    Google Scholar 

  • Fukumoto, Y. and Itoh, Y. (1984). “Basic compressive strength of steel plates from test data.” Proc. of JSCE, No. 334/I-1, pp. 129–139.

    Google Scholar 

  • Gaspar, B., Naess, A., Leira, B. J., and Guedes Soares, C. (2012). “System reliability analysis of a stiffened panel under combined uniaxial compression and lateral pressure loads.” Structural Safety, 39, pp. 30–43.

    Article  Google Scholar 

  • Guan, X. L. and Melchers R. E. (2001). “Effect of response parameter variation on structural reliability estimates.” Structural Safety, 23, pp. 429–444.

    Article  Google Scholar 

  • Haldar, A. and Mahadevan, S. (1999). Probability, Reliability, and Statistical Methods in Engineering Design. 1 st Ed., John Wiley and Sons.

    Google Scholar 

  • ISO 2394 (1998). General principles on reliability for structures. 3 rd Ed., International Standard.

    Google Scholar 

  • JSHB (2002). Specifications for highway bridges. Part II. Steel bridges. Japan Road Association.

    Google Scholar 

  • JRA (1980). Specifications for highway bridges. Part II. Steel bridges. Japan Road Association.

    Google Scholar 

  • JRA (1996). Specifications for highway bridges. Part II. Steel bridges. Japan Road Association.

    Google Scholar 

  • JIS (2008). Higher yield strength steel plates for bridges. JIS G 3140, Japanese Industrial Standard.

    Google Scholar 

  • Kim, K. D. (2006). “Large Displacement of Elasto-plastic Analysis of Stiffened Plate and Shell Structures” International Journal of Steel Structures, 6, pp. 65–68.

    Google Scholar 

  • Kitada, T., Yamaguchi, T., Matsumura, M., Okada, J., Ono, K., and Ochi, N. (2002). “New technology of steel bridge in Japan.” Journal of Constructional Steel Research, 58, pp. 21–70.

    Article  Google Scholar 

  • Komatsu, S. and Nara, S. (1983). “Statistical study on steel plate members.” Journal of Structural Engineering, ASCE, 109(4), pp. 977–992.

    Article  Google Scholar 

  • Murakoshi, J., Yanatori, N., Arima, K., Shimizu, H., and Komori, D. (2008). Report on statistical data of steel members and strength. Technical Note of Public Work Research Institute, No. 4090, Public Work research Institute.

    Google Scholar 

  • Rasmussen, K. J. R. and Hancock, J. G. (1992). “Plate slenderness limits for high strength steel sections.” J. Construct. Steel Research, 23, pp. 73–96.

    Article  Google Scholar 

  • Shin, D. K., Cho E. Y., Kim, K. S. (2013). “Ultimate flexural strengths of plate girders subjected to web local buckling.” International Journal of Steel Structures, 13(2), pp. 291–303.

    Article  Google Scholar 

  • Usami, T. and Fukumoto, Y. (1989). “Deformation analysis of locally buckled steel compression members.” Journal of Constructional Steel Research, 13, pp. 111–135.

    Article  Google Scholar 

  • Usami, T. (1993). “Effective width of locally buckled plates in compression and bending.” Journal of Structural Engineering, 119(5), pp. 1358–1373.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dang Viet Duc.

Additional information

Note.-Discussion open until February 1, 2014. This manuscript for this paper was submitted for review and possible publication on May 14, 2013; approved on August 22, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duc, D.V., Okui, Y., Hagiwara, K. et al. Probabilistic distributions of plate buckling strength for normal and bridge high-performance steels. Int J Steel Struct 13, 557–567 (2013). https://doi.org/10.1007/s13296-013-3014-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13296-013-3014-1

Keywords

Navigation