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Shear strength of steel beams with trapezoidal corrugated webs using regression analysis

  • Barakat, Samer (Department of Civil and Environmental Engineering, University of Sharjah) ;
  • Mansouri, Ahmad Al (Department of Civil and Environmental Engineering, University of Sharjah) ;
  • Altoubat, Salah (Department of Civil and Environmental Engineering, University of Sharjah)
  • Received : 2013.10.24
  • Accepted : 2014.09.26
  • Published : 2015.03.25

Abstract

This work attempts to implement multiple regression analysis (MRA) for modeling and predicting the shear buckling strength of a steel beam with corrugated web. It was recognized from theoretical and experimental results that the shear buckling strength of a steel beam with corrugated web is complicated and affected by several parameters. A model that predicts the shear strength of a steel beam with corrugated web with reasonable accuracy was sought. To that end, a total of 93 experimental data points were collected from different sources. Then mathematical models for the key response parameter (shear buckling strength of a steel beam with corrugated web) were established via MRA in terms of different input geometric, loading and materials parameters. Results indicate that, with a minimal processing of data, MRA could accurately predict the shear buckling strength of a steel beam with corrugated web within a 95% confidence interval, having an $R^2$ value of 0.93 and passing the F- and t-tests.

Keywords

Acknowledgement

Supported by : University of Sharjah

References

  1. Abbas, H.H., Sause, R. and Driver, R.G. (2002), "Shear strength and stability of high performance steel corrugated web girders", Proceedings of Structural Stability Research Council Annual Technical Session, Seattle, WA, USA, April, pp. 361-387.
  2. Abbas, H.H., Sause, R. and Driver, R.G. (2006), "Behavior of corrugated web I-girders under in-plane loading", J. Struct. Eng., ASCE, 132(8), 806-814.
  3. Ang, A.H.S. and Tang, W.H. (2007), Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering, (2nd Ed.), John Wiley & Sons, New York, NY, USA.
  4. Easley, J.T. (1975), "Buckling formulas for corrugated metal shear diaphragms", J. Struct. Div., 101(7), 1403-1417.
  5. El Metwally, A.S. (1998), "Prestressed composite girders with corrugated steel webs", University of Calgary, Calgary, AB, Canada.
  6. El-Shaarawi, A. and Walter, P. (2002), "Nonlinear regression, Gordon K. Smyth", In: Encyclopedia of Environmetrics, (ISBN 0471 899976), (Volume 3), John Wiley & Sons, Ltd., Chichester, UK, pp. 1405-1411.
  7. Elgaaly, M., Hamilton, R.W. and Seshadri, A. (1996), "Shear strength of beams with corrugated webs", J. Struct. Eng., 122(4), 390-398. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:4(390)
  8. Gil, H., Lee, S., Lee, J. and Lee, H.E. (2005), "Shear buckling strength of trapezoidally corrugated steel webs for bridges", J. Transp. Res. Board, Special Volume CD11-S, 473-480.
  9. Linder, J. and Aschinger, T.R. (1988), "Grenzschubtragfähigkeit von I-Tragern mit trapezformig profilierten Staben", Stahlbau, 57(12), 377-380.
  10. Lindner, J. and Hunag, B. (1995), "Beulwerte für trapezförmig profilierte Bleche unter Schubbeanspruchung", Stahlbau, 64(2), 370-374.
  11. Moon, J., Yi, J., Choi, B.H. and Lee, H.E. (2008), "Lateral torsional buckling of I-girder with corrugated webs under uniform bending", Thin-Wall. Struct., 47(1), 21-30. https://doi.org/10.1016/j.tws.2008.04.005
  12. Moon, J., Yi, J., Choi, B.H. and Lee, H.-E. (2009), "Shear strength and design of trapezoidally corrugated steel webs", J. Construct. Steel Res., 65(5), 1198-1205. https://doi.org/10.1016/j.jcsr.2008.07.018
  13. Sause, R. and Braxtan, T.N. (2011), "Shear strength of trapezoidal corrugated steel webs", J. Construct. Steel Res., 67(2), 223-236. https://doi.org/10.1016/j.jcsr.2010.08.004
  14. Sause, R., Abbas, H.H., Wassef, W., Driver, R. and Elgaaly, M. (2003), "Corrugated web girder shape and strength criteria", In: Work area 1, Pennsylvania innovative high performance steel bridge demonstration project, Bethlehem, PA, USA, ATLSS Engineering Research Center, Lehigh University, Bethlehem, PA, USA.
  15. SPSS, Inc. (2010), SPSS ver. 19.0; Reference Manual, Chicago, IL, USA.
  16. Timoshenko, S.P. and Gere, J.M. (2009), Theory of Elastic Stability (Dover Civil and Mechanical Engineering), Dover Publications, New York, NY, USA.
  17. Yi, J., Gil, H., Youm, K. and Lee, H. (2008), "Interactive shear buckling behavior of trapezoidally corrugated steel webs", Eng. Struct., 30(6), 1659-1666.
  18. Yong, D., Kebin, J., Fei, S. and Anzhong, D. (2013), "Experimental study on ultimate torsional strength of PC composite box-girder with corrugated steel Webs under pure torsion", Struct. Eng. Mech., Int. J., 46(4), 519-531. https://doi.org/10.12989/sem.2013.46.4.519

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