Skip to main content
Log in

Influence of cold bending on the resistance of wide flange members

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

Abstract

Cold rolling is used for bending straight members with hot rolled wide-flange sections to create arches. Extensive studies have shown that the influence of residual stresses due to hot rolling on the resistance of wide-flange steel sections is nonnegligible. On the contrary, the residual stress pattern due to roller bending has been only recently identified. Its effects on the elasto-plastic behavior of curved members have not been studied sufficiently. In this paper, an in-depth study of the influence of such residual stresses is performed. Considering the residual stress pattern due to cold bending, interaction diagrams and buckling curves for cold bent steel arches are developed. The results are quantified and compared with those for hot-rolled and stress free members. This allows designers to appreciate the available margins of safety when using standard interaction equations and buckling curves for cold bent members. Furthermore, the results suggest the necessity for the development of buckling curves for cold bent members including initial imperfections.

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

  • AISC (2005). Design of members for compression. Specification for structural steel buildings, Americal Institute of Steel Construction, Chicago.

    Google Scholar 

  • Beedle, L. S. and Tall, L. (1962). “Basic column strength.” Transcactions of the ASCE, 127, pp. 138–179.

    Google Scholar 

  • Bjorhovde, R. (2006). “Cold bending of wide-flange shapes for construction.” Engineering Journal, 43(4), pp. 271–286.

    Google Scholar 

  • Brazier, L. G. (1927). “On the flexure of thin cylindrical shells and other “thin” sections.” Proc. Royal Society of London. Series A, 116(773), pp. 104–114.

    Article  MATH  Google Scholar 

  • ECCS (1976). Manual on stability of steel structures. European Convention for Constructional Steelwork, TC8 No. 22, Brussels, Belgium, pp. 328.

    Google Scholar 

  • ECCS (1984). Ultimate limit state calculations of sway frames with rigid joints. Technical Working Group 8.2-System, European Convention for the Constructional Steelwork, Paris.

    Google Scholar 

  • ENV (2005). Eurocode 3: Design of steel structures — Part 1-1: General rules and rules for buildings. EN 1993-1-1, Compression members, European Committee for Standardization (CEN), Brussels, Belgium.

    Google Scholar 

  • Fukumoto, Y., Kajina, N., and Aoki, T. (1973). “Evaluation of column curves based on probabilistic concept.” Proc. International Conference on Stability, pp. 1–37.

    Google Scholar 

  • Galambos, T. V. (1998). Guide to stability design criteria for metal structures. John Wiley, New York.

    Google Scholar 

  • Huber, A. W. and Beedle, L. S. (1954). “Residual stress and the compressive strength of steel.” Welding Journal Research Supplement, 33(12), pp. 589–615.

    Google Scholar 

  • Jez Gala, C. (1962). “Residual stresses in rolled I-sections.” ICE Proceedings, 23(3), pp. 361–378.

    Article  Google Scholar 

  • King, C. and Brown, D. (2001). Design of curved steel. The Steel Construction Institute, Berkshire.

    Google Scholar 

  • Komatsu, S. and Sakimoto, T. (1977). “Ultimate load carrying capacity of steel arches.” Journal of the Structural Division, 103(12), pp. 2323–2336.

    Google Scholar 

  • Lay, M. G. and Ward, R. (1969). “Residual stresses in steel sections.” Journal of the Australian Institute of Steel Construction, 3(3), pp. 2–21.

    Google Scholar 

  • Mas, E. and Massonet, C. (1966). “Part prise par la Belgique dans les recherches expérimentales de la convention européene des associations de la construction métallique sur la flambement centriques des barres en acier doux.” Acier-Stahl-Steel, 9, pp. 393–400 (in French).

    Google Scholar 

  • Pi, Y.-L. and Bradford, M. A. (2003). “Elasto-plastic buckling and postbuckling of arches subjected to a central load.” Computers & Structures, 81(18–19), pp. 1811–1825.

    Article  Google Scholar 

  • Pi, Y.-L. and Bradford, M. A. (2004). “In-plane strength and design of fixed steel I-section arches.” Engineering Structures, 26(3), pp. 291–301.

    Article  Google Scholar 

  • Pi, Y. L. and Trahair, L. S. (1998). “Out-of-plane inelastic buckling and strength of steel arches.” Journal of Structural Engineering, 124(2), pp. 174–183.

    Article  Google Scholar 

  • Pi, Y. L., Bradford, M. A., and Uy, B. (2002). “In-plane stability of arches.” International Journal of Solids and Structures, 39(1), pp. 105–125.

    Article  MATH  Google Scholar 

  • Sakimoto, T., Yamao, T., and Komatsu, S. (1979). “Experimental study on the ultimate strength of steel arches.” Proc. Japanese Society of Civil Engineers, 286, pp. 139–149.

    Article  Google Scholar 

  • Sophianopoulos, D. S., Asteris, P. G., and Athanasiathou, D. (2005). “The Eefect of thermal-induced residual stresses on the elastoplastic behavior and capacity of non-slender steel I-shaped members under combined loading.” Tech. Chron. Sci. J. (TCG), 1(2), pp. 37–50.

    Google Scholar 

  • Spoorenberg, R. C., Snijder, H. H., and Hoenderkamp, J. C. D. (2010). “Experimental investigation of residual stresses in roller bent wide flange steel sections.” Journal of Constructional Steel Research, 66(6), pp. 737–747.

    Article  Google Scholar 

  • Spoorenberg, R. C., Snijder, H. H., and Hoenderkamp, J. C. D. (2011a). “Finite element simulations of residual stresses in roller bent wide flange sections.” Journal of Constructional Steel Research, 67(1), pp. 39–50.

    Article  Google Scholar 

  • Spoorenberg, R. C., Snijder, H. H., and Hoenderkamp, J. C. D. (2011b). “Proposed residual stress model for roller bent steel wide flange sections.” Journal of Constructional Steel Research, 67(6), pp. 992–1000.

    Article  Google Scholar 

  • Spoorenberg, R. C., Snijder, H. H., and Hoenderkamp, J. C. D. (2012a). “Mechanical properties of roller bent wide flange sections. Part 2: Prediction model.” Journal of Constructional Steel Research, 68(1), pp. 63–77.

    Article  Google Scholar 

  • Spoorenberg, R. C., Snijder, H. H., and Hoenderkamp, J. C. D. (2012b). “A theoretical method for calculating the collapse load of steel circular arches.” Engineering Structures, 38(5), pp. 89–103.

    Article  Google Scholar 

  • Strating, J., and Vos, H. (1973). “Computer simulation of the E.C.C.S. buckling curve using a monte-carlo method.” Heron, 19(2), pp. 1–38.

    Google Scholar 

  • Tan, Z., Li, W. B., and Persson, B. (1994). “On analysis and measurement of residual stresses in the bending of sheet metals.” International Journal of Mechanical Sciences, 36(5), pp. 483–491.

    Article  Google Scholar 

  • Timoshenko, S. P. (1940). Strength of materials. Part II: Advanced theory and problems. D. Van Nostrand Company, Inc., New York.

    Google Scholar 

  • Trahair, N. S., Pi, Y. L., Clarke, M. J., and Papangelis, J. P. (1996). “Plastic Design of Steel Arches.” Advances in Steel Structures (ICASS’ 96), Pergamon, Oxford, pp. 13–22.

    Chapter  Google Scholar 

  • Weng, C. C. and Pekoz, T. (1990). “Residual stresses in cold-formed steel members.” Journal of Structural Engineering, 116(6), pp. 1611–1625.

    Article  Google Scholar 

  • Weng, C. C. and White, R. N. (1990). “Residual stresses in cold-bent thick steel plates.” Journal of Structural Engineering, 116(24), pp. 24–39.

    Article  Google Scholar 

  • Young, B. W. (1975). “Residual stresses in hot rolled members.” IABSE Reports of the Working Commisions, 23, pp. 25–38.

    Google Scholar 

  • Young, B. W. and Robinson, K. W. (1975). “Buckling of axially loaded welded steel columns.” The Structural Engineer, 63(5), pp. 203–207.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michalis Hadjioannou.

Additional information

Note.-Discussion open until November 1, 2013. This manuscript for this paper was submitted for review and possible publication on March 14, 2012; approved on June 10, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hadjioannou, M., Douthe, C. & Gantes, C.J. Influence of cold bending on the resistance of wide flange members. Int J Steel Struct 13, 353–366 (2013). https://doi.org/10.1007/s13296-013-2013-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13296-013-2013-6

Keywords

Navigation