Skip to main content
SpringerLink
Log in

Reliability of Corroded Steel Members Subjected to Elastic Lateral Torsional Buckling

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

Abstract

Structural steel members are subjected to corrosion due to environmental condition. As a result, there is decreasing in the cross-section properties of the member. This causes different stability problems and reduction in the load carrying capacity of members. Then, the probability of failure, Pf increases due to corrosion. The need arises to determine expected level of safety for such members and systems. Besides, reliability of the steel structure is also effected by the structural stability problems that result decreasing in the resistance. Lateral torsional buckling is one of the most encountered problems in steel members and affected by the critical moment which is a function of lateral and torsional stiffness. Critical moment depends on the material properties, boundary conditions, unbraced length, load pattern, and the member’s cross section. Under the corrosion, it is inevitable to observe changing in some of properties. In this study, a damage model to determine the reliability of a corroded I-shape steel member under linear moment gradient is developed considering corrosion exposure time. Uniform and varying thickness loss models are considered to show the corrosion effect. Influence of environmental condition on the load carrying capacity of the members is considered and their effects on member design is evaluated. As a result, it is concluded that load carrying capacity of steel members degrades and safety of them adversely effected. With presented formulas, it is ensured that the load carrying capacity and reliability indices of the steel members can be calculated practically under the examined situations

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26
Fig. 27
Fig. 28
Fig. 29
Fig. 30

Similar content being viewed by others

References

  • AISC 360-16. (2016). ANSI / AISC 360-16, Specification for structural steel buildings. American Institute of Steel Construction, Chicago, Illinois, USA.

  • Albrecht, P., & Hall, T. T. (2003). Atmospheric corrosion resistance of structural steels. Journal of Materials in Civil Engineering, 15, 2–24.

    Article  Google Scholar 

  • ANSYS. (2015). Version 15.0, Canonsburg, Ansys. Inc.

  • AS4100 (1998). Steel structures. Standards Australia. Standards Association of Australia, Sydney, Australia

  • ASCE/SEI 7-10. (2010). Minimum design loads for buildings and other structures. Virginia, USA.

  • Aydin, M. R. (2009). Elastic flexural and lateral torsional buckling analysis of frames using finite elements. KSCE Journal of Civil Engineering, 14, 25–31.

    Article  Google Scholar 

  • BS5950. (2000). Structural use of steelwork in building. British Standards Institution, London, UK.

  • Chandrasekaran, S. (2019). Advanced steel design of structures, 1 st edition. CRC Press, Florida.

  • Chandrasekaran, S., & Jain, A. (2017). Ocean structures: Construction, Materials and Operations. CRC Press, Florida.

  • Chandrasekaran, S., & Nagavinothini, R. (2020). Offshore compliant platforms: Analysis, design and experimental studies. Wiley, UK.

  • CSA-S16 (2014). Design of steel structures. CSA standard S16–14. Mississauga: Canadian Standards Association.

  • Eamon, C. D., Lamb, A. W., & Patki, K. (2017). Effect of moment gradient and load height with respect to centroid on the reliability of wide flange steel beams subject to elastic lateral torsional buckling. Engineering Structures, 150, 656–664.

    Article  Google Scholar 

  • Ellingwood, B. E., Galambos, T. V., MacGregor, J. G., and Cornell, C. A. (1980). Development of a probability based load criterion for American National Standard A58. Washington, DC.

  • EN 1993-1-1 (1992). Design of steel structures-Part 1–1: General rules and rules for buildings. European Committee for Standardization, Brussel, Belgium.

  • Fontana, M. G. (1987). Corrosion engineering, 3rd ed. McGraw-Hill, Singapore.

  • Galambos, T. V. (2004). Reliability of the member stability criteria in the 2005 AISC specification. Engineering Journal, American Institute of Steel Construction, 43, 257–266.

    Google Scholar 

  • Galambos, T. V., Ellingwood, B. E., MacGregor, J. G., & Cornell, C. A. (1982). Probability-based load criteria: Assessment of current design practice. Journal of Structural Division, 108, 959–977.

    Article  Google Scholar 

  • Ghafoori, E., & Motavalli, M. (2015). Lateral-torsional buckling of steel I-beams retrofitted by bonded and un-bonded CFRP laminates with different pre-stress levels: Experimental and numerical study. Construction and Building Materials, 76, 194–206.

    Article  Google Scholar 

  • Jankowska-Sandberg, J., & Kołodziej, J. (2013). Experimental study of steel truss lateral-torsional buckling. Engineering Structures, 46, 165–172.

    Article  Google Scholar 

  • Kayser, J. R., & Nowak, A. S. (1989). Capacity loss due to corrosion in steel-girder bridges. Journal of Structural Engineering, 115, 1525–1537.

    Article  Google Scholar 

  • Kirby, P. A., & Nethercot, D. A. (1979). Design for structural stability. Halsted Press, New York.

  • Komp, M. E. (1987). Atmospheric corrosion ratings of weathering steels—calculation and significance. Materials Performance, 26, 42–44.

    Google Scholar 

  • Kucukler, M., Gardner, L., & Macorini, L. (2015). Lateral-torsional buckling assessment of steel beams through a stiffness reduction method. Journal of Constructional Steel Research, 109, 87–100.

    Article  Google Scholar 

  • MATLAB. (2018). Version R2018a, Massachusetts, MATLAB Release. Natick.

  • Melchers, R. E. (1999). Corrosion uncertainty modelling for steel structures. Journal of Constructional Steel Research, 52, 3–19.

    Article  Google Scholar 

  • Melchers, R. E. (2003a). Probabilistic model for marine corrosion of steel for structural reliability assessment. Journal of Structural Engineering, 129, 1484–1493.

    Article  Google Scholar 

  • Melchers, R. E. (2003b). Probabilistic models for corrosion in structural reliability assessment—Part 1: Empirical models. Journal of Offshore Mechanics and Arctic Engineering, 125, 264–271.

    Article  Google Scholar 

  • Ozbasaran, H., Aydin, R., & Dogan, M. (2015). An alternative design procedure for lateral—torsional buckling of cantilever I-beams. Thin Walled Structures, 90, 235–242.

    Article  Google Scholar 

  • Rahgozar, R. (2009). Remaining capacity assessment of corrosion damaged beams using minimum curves. Journal of Constructional Steel Research, 65, 299–307.

    Article  Google Scholar 

  • Rahgozar, R., Sharifi, Y., & Malekinejad, M. (2010). Buckling capacity of uniformly corroded steel members in terms of exposure time. Steel and Composite Structures, 10, 475–487.

    Article  Google Scholar 

  • Rahgozar, R. (1998). Fatigue endurance of steel structures subjected to corrosion. Ph.D. thesis, The University of Bristol.

  • Salvadory, M. (1955). Lateral buckling of I-beams. ASCE Transaction, 120, 1165–1177.

    Google Scholar 

  • Saydam, D., & Frangopol, D. M. (2011). Time-dependent performance indicators of damaged bridge superstructures. Engineering Structures, 33, 2458–2471.

    Article  Google Scholar 

  • Serna, M. A., López, A., Puente, I., & Yong, D. J. (2006). Equivalent uniform moment factors for lateral-torsional buckling of steel members. Journal of Constructional Steel Research, 62, 566–580.

    Article  Google Scholar 

  • Sharif, Y., & Rahgozar, R. (2010). Remaining moment capacity of corroded steel beams. International Journal of Steel Structures, 10, 165–176.

    Article  Google Scholar 

  • Sharifi, Y., & Rahgozar, R. (2009). Fatigue notch factor in steel bridges due to corrosion. Archives of Civil and Mechanical Engineering, 9, 75–83.

    Article  Google Scholar 

  • Sharifi, Y., & Rahgozar, R. (2010a). Simple assessment method to estimate the remaining moment capacity of corroded I-beam sections. Scientia Iranica, 17, 161–167.

    MATH  Google Scholar 

  • Sharifi, Y., & Rahgozar, R. (2010b). Evaluation of the remaining shear capacity in corroded steel I-beams. Advanced Steel Construction, 6, 803–816.

    MATH  Google Scholar 

  • Sharifi, Y., & Rahgozar, R. (2010c). Evaluation of the remaining lateral torsional buckling capacity in corroded steel members. Journal of Zhejiang University: Science A, 11, 887–897.

    Article  Google Scholar 

  • Sharifi, Y., & Tohidi, S. (2014). Lateral-torsional buckling capacity assessment of web opening steel girders by artificial neural networks—elastic investigation. Frontiers of Structural and Civil Engineering, 8, 167–177.

    Article  Google Scholar 

  • Timoshenko, S. P., & Gere, J. (1985). Theory of elastic stability, 2nd ed. McGraw-Hill, New York.

  • TSDC-2016. (2016). Turkish steel design code. Ministry of Environment and Urbanization, Ankara, Turkey.

  • Uzun, E. T., & Seçer, M. (2019). Lateral torsional buckling of doubly symmetric I-shaped steel members under linear moment gradient. Pamukkale University Journal of Engineering Sciences, 25(6), 635–642.

    Article  Google Scholar 

  • Valarinho, L., Correia, J. R., Machado-e-Costa, M., Branco, F. A., & Silvestre, N. (2016). Lateral-torsional buckling behaviour of long-span laminated glass beams: Analytical, experimental and numerical study. Materials and Design, 102, 264–275.

    Article  Google Scholar 

  • White, D. W., & Kim, Y. D. (2008). Unified flexural resistance equations for stability design of steel I-section members: Moment gradient tests. Journal of Structural Engineering, 134, 1450–1470.

    Article  Google Scholar 

  • Winkler, R., Kindmann, R., & Knobloch, M. (2017). Lateral torsional buckling behaviour of steel beams: On the influence of the structural system. Structures, 11, 178–188.

    Article  Google Scholar 

  • Wong, E., & Driver, R. G. (2010). Critical evaluation of equivalent moment factor procedures for laterally unsupported beams. ASCI Engineering Journal, 47, 1–20.

    Google Scholar 

  • Wu, L., & Mohareb, M. (2013). Finite-element formulation for the lateral torsional buckling of plane frames. Journal of Engineering Mechanics, 139, 512–524.

    Article  Google Scholar 

  • Yang, B., Kang, S.-B., Xiong, G., Shidong, N., Hu, Y., Wang, S., Bai, J., & Dai, G. (2017). Experimental and numerical study on lateral-torsional buckling of singly symmetric Q460GJ steel I-shaped beams. Thin-Walled Structures, 113, 205–2016.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Faculty of Engineering, Izmir Institute of Technology, 35430, Urla, İzmir, Turkey

    Ertugrul Turker Uzun & Engin Aktaş

Authors
  1. Ertugrul Turker Uzun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Engin Aktaş
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Engin Aktaş .

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Uzun, E.T., Aktaş , E. Reliability of Corroded Steel Members Subjected to Elastic Lateral Torsional Buckling. Int J Steel Struct 21, 1478–1501 (2021). https://doi.org/10.1007/s13296-021-00516-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13296-021-00516-8

Keywords

Search

Navigation