Skip to main content
SpringerLink
Log in

Influence of Fatigue Crack on Strains State Within Assembly Holes in a Web of Steel Bridge Girder

  • Research Paper
  • Published:
International Journal of Civil Engineering Aims and scope Submit manuscript

Abstract

The paper presented an attempt to assess service life of steel girders in military bridges (or bypass temporary bridges) when fatigue cracks are detected in them. A function describing the geometry of fatigue cracks, the so-called crack shape factor Y, for two different, assumed calculated models, was presented. The function was used to plot sample graphs allowing assessing the remaining service life of such structural elements or engineering structures in a simple way. This method of analyzing can be used not only for the military bridges but also for other steel structures with existing cracks. The work also presented assessments of possible applications of two FEM calculated models using shell elements to test stress and deformation at the top part of a fatigue crack located in a web of a steel girder used in the military bridges. The results of the conducted numerical analyses were compared with the results obtained in experimental research conducted in laboratory conditions using extensometers.

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

Similar content being viewed by others

References

  1. Kamyk Z, Zielonka M, Hałys P (2003) The concept of increasing the efficiency of the construction of the temporary bridge engineering battalion rescue. J Sci Gen Tadeusz Kościuszko Mil Acad Land Forces Views Exp Spec Edn Sci Technol Conf Mil Eng Coop Agreem Non Mil Crisis Wroc (Poland) 24–25(2003):194–203 (in Polish)

    Google Scholar 

  2. Duchaczek A, Mańko Z (2005) Remaining life assessment of steel girders of low-water bridges. IV National Conference of Bridge “Construction and Equipment Bridges". Wisła (Poland) 12–14, 2005, pp 53–62 (in Polish)

  3. Duchaczek A, Mańko Z (2008) Application of numerical methods to assessment of service durability of steel girders in military bridges. Górnictwo Odkrywkowe (Surface Mining) 4–5/2008:55–61 (in Polish)

    Google Scholar 

  4. Duchaczek A, Mańko Z (2010) Assessment of shell models employed to stress and strain analyses within vertex of fatigue crack. Górnictwo Odkrywkowe (Surface Mining) 4:252–258 (in Polish)

    Google Scholar 

  5. Duchaczek A, Mańko Z (2015) Determination of the value of stress intensity factor in fatigue life of steel military bridges. Eur J Environ Civ Eng 19(8):1015–1032. doi:10.1080/19648189.2014.992549

    Article  Google Scholar 

  6. Duchaczek A, Mańko Z (2015) The influence of a cracking mode on fatigue crack propagation in steel girders in military bridges. Eur J Environ Civ Eng 1–18. doi:10.1080/19648189.2014.992550 (ahead-of-print)

  7. Neimitz A (1998) Fracture Mechanics. Scientific Publishing House PWN, Warsaw (in Polish)

    MATH  Google Scholar 

  8. Rykaluk K (2000) Cracks in steel structures. Lower Silesia Educational Publishers, Wrocław (in Polish)

    Google Scholar 

  9. Cherepanov GP (1967) Crack propagation in continuous media. J App Math Mech 31(3):503–512

    Article  MathSciNet  MATH  Google Scholar 

  10. Eshelby JD (1951) The force on an elastic singularity. Philos Trans R Soc Lond 244(877):87–112

    Article  MathSciNet  MATH  Google Scholar 

  11. Erdogan F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. J Basic Eng 85(4):519–527

    Article  Google Scholar 

  12. Hussain MA, Pu SL, Underwood J (1974) Strain Energy Release Rate for a Crack under Combined Mode I and II. Fracture Analysis. American Society for Testing Materials. Committee E-24 on Fracture Testing of Metals. National Symposium on Fracture Mechanics, pp 2–28

  13. Li FZ, Shih CF, Needleman A (1985) A comparison of methods for calculating energy release rates. Eng Fract Mech 21(2):405–421

    Article  Google Scholar 

  14. Sih GC (1974) Strain-energy-density factor applied to mixed-mode crack problems. Int J Fract 10:305–321

    Article  Google Scholar 

  15. Wichtowski B, Rykaluk K (1997) Strength of the Bridge with Cracks in Welded Joints Leading. In: Proceedings of the 43rd Science Conference of Civil Engineering Committee of the Polish Academy of Sciences (KILiW PAN) and the Science Committee of the Polish Association Engineers and Technicians (KN PZITB) “Scientific and Research Engineering—Krynica 1997”, Poznań-Krynica, Poland, Sept. 15–21 1997, Vol 5, Metal Structures, pp 133–140 (in Polish)

  16. Sturzbecher K (1997) Service Strength of Welded Old Bridges. In: Proceedings of the 43rd Science Conference of Civil Engineering Committee of the Polish Academy of Sciences (KILiW PAN) and the Science Committee of the Polish Association Engineers and Technicians (KN PZITB) “Scientific and Research Engineering—Krynica 1997”, Poznań-Krynica, Poland, Sept. 15–21 1997, Vol 5, Metal Structures, pp 113–118 (in Polish)

  17. Ingraffea AR, Wawrzynek PA (2003). Chap. 3.1 in comprehensive structural integrity, de Borst R, Mang H (eds) Finite element methods for linear elastic fracture mechanics. Elsevier Science Ltd., Oxford

    Chapter  Google Scholar 

  18. Chan SK, Tuba IS, Wilson WK (1970) On the finite element method in linear fracture mechanics. Eng Fract Mech 2:1–17

    Article  Google Scholar 

  19. Ramamurthy TS, Krishnamurthy T, Badari Narayana K, Vijayakumar K, Dattaguru B (1986) Modified crack closure integral method with quarter point elements. Mech Res Commun 13:179–186

    Article  Google Scholar 

  20. Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35:379–386

    Article  Google Scholar 

  21. Dolbow JE (1999) An extended finite element method with discontinuous enrichment for applied mechanics. Ph. D. Thesis. December 1999 http://dolbow.cee.duke.edu/phd.html (November 13, 2013)

  22. Shih CF, Delorenzi HG, German MD (1976) Crack extension modeling with singular quadratic isoparametric elements. Int J Fract 12(4):647–651

    Article  Google Scholar 

  23. Tracey DM (1977) Discussion of “on the use of isoparametric finite elements in linear fracture mechanics” by RS Barsoum. Int J Numer Methods Eng 11(2):401–402

    Article  Google Scholar 

  24. Janecki S, Bielecki M (1999) Service Life of Axial Rotor Blades in Fluid-Flow Machines, Subject 3, Task 2, Part I, Evaluation of Fatigue Growth of Cracks in Blades of Steam Turbines in Corrosive Environment. Research Project No. 7T07B04816, Gdańsk (Poland) (in Polish)

  25. Szata M (2002) A description of fatigue crack propagation from the energy perspective. Publishing House of Wroclaw University of Technology, Wroclaw (in Polish)

    Google Scholar 

  26. Banks-Sills L, Sherman D (1992) On the computation of stress intensity factors for three-dimensional geometries by means of the stiffness derivative and J-integral methods. Int J Fract 53(1):1–20

    Google Scholar 

  27. Simões da Silva L, Rebelo C, Nethercot D, Marques L, Simões R, Vila Real PMM (2009) Statistical evaluation of the lateral-torsional buckling resistance of steel I-beams. Part 2: variability of steel properties. J Constr Steel Res 65(4):818–831

    Article  Google Scholar 

  28. Seweryn A, Adamowicz A (2002) Accuracy of calculation of stress intensity factors using FEM. 19th Symposium on Fracture Mechanics, Bydgoszcz-Pieczyska (Poland), April 2002, pp 13–20 (in Polish)

  29. Autodesk Robot Structural Analysis 2010—User Guide (2009) Autodesk, March 2009 (in Polish)

  30. Kocańda S, Szala J (1997) Basic calculation methods for of fatigue. Scientific Publishing House PWN, Warsaw (in Polish)

    Google Scholar 

  31. German J (2011) The fundamentals of fracture mechanics. Cracow University of Technology, Cracow (in Polish)

    Google Scholar 

  32. PN-90/B-03200 (1990) Steel Structures. Static Calculations and Designing (in Polish)

  33. EUROCODE 3 (2005) Design of Steel Structures. ENV 1993-1-9, European Committee for Standardization, Brussels

  34. Duchaczek A, Mańko Z (2006) Service life determining of the military bridges. Research Work, Stage II, “Low Cycle Fatigue Tests,” Gen. Tadeusz Kościuszko Military Academy of Land Forces, Wrocław (Poland) (in Polish)

  35. Duchaczek A, Mańko Z (2007) Service life determining of the military bridges. Research Work, Stage III, “Verification of Fatigue Crack Propagation Velocity,” Gen. Tadeusz Kościuszko Military Academy of Land Forces, Wrocław (Poland) (in Polish)

  36. STANAG 2021 JAS. Edition 6—Military Load Classification of Bridges, Ferries, Rafts, and Vehicles

  37. Michalec R (2015) Evaluation of stress distribution in steel bridge structures cranes using a thermal imaging camera. University of Environmental and Life Sciences in Wrocław, The Faculty of Environmental Engineering and Geodesy, M. Sc. thesis, July 2015, Wrocław (Poland) (in Polish)

  38. Wang Z, Wang Q (2015) Finite element based fatigue assessment of corrugated steel web beams in highway bridges. Int J Civ Eng 13(4):419–431

    Google Scholar 

  39. Kabir MZ, Hojatkashani A (2012) Experimental examination of CFRP strengthened RC beams under high cycle fatigue loading. Int J Civ Eng 10(4):291–300

    Google Scholar 

  40. Dahlberg T (2010) Railway track stiffness variations—consequences and countermeasures. Int J Civ Eng 8(1):1–12

    MathSciNet  Google Scholar 

Download references

Acknowledgements

The authors would like to express their appreciation to the General Tadeusz Kościuszko Military Academy of Land Forces in Wrocław (Poland) for the help and financial support in preparing this work.

Author information

Authors and Affiliations

  1. General Tadeusz Kościuszko Military Academy of Land Forces, Czajkowskiego Street no. 109, 51-150, Wrocław, Poland

    Artur Duchaczek

  2. International University of Logistics and Transport, Sołtysowicka Street no. 19B, 51-168, Wrocław, Poland

    Zbigniew Mańko

Authors
  1. Artur Duchaczek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zbigniew Mańko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Artur Duchaczek.

Additional information

Zbigniew Mańko: Previously as Visiting Professor at the Civil & Environmental Engineering Department at the Washington State University in Pullman, WA 99164 and then at the Civil & Environmental Engineering Department of the Florida International University in Miami, FL 33199, USA.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Duchaczek, A., Mańko, Z. Influence of Fatigue Crack on Strains State Within Assembly Holes in a Web of Steel Bridge Girder. Int J Civ Eng 15, 627–640 (2017). https://doi.org/10.1007/s40999-017-0173-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40999-017-0173-z

Keywords

Search

Navigation