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Numerical Investigation on Shear Deflection of Steel Welded I Sections with Varying Span to Depth Ratios

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Abstract

Deflection of the steel I-sections is an important phenomenon that needs to be taken into account to ensure that the serviceability limit state criteria of the Australian Standards are met. The method that is widely used to calculate the deflection of steel I-sections is by the use of existing formulae that only accommodate the bending stiffness of the beams. A numerical investigation is performed in this study to find the contribution of shear effects in the final deflection of the Welded-Beams (WB) and Welded-Columns (WC). The numerical analyses were carried out in SAP2000 and numerical model was first validated using the experimental results of welded plate girders. The model was then used to analyse simply supported WB and WC sections under uniformly distributed load (UDL) with varying span lengths. The results of the numerical analyses are reported in this study which compare the mid-span deflection values from the simply supported deflection formula with the numerical model deflection values. The data acquired from the numerical analyses were used to establish a span to depth ratio for WB and WC sections below which the shear deflection becomes significant. The analysis of the results obtained from the numerical investigation suggests that a predication error begins to emerge in the result that is acquired from flexure deflection formulae at a certain span-depth ratio.

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References

  • AS4100. (1998). Steel structures. Sydney: Standard Australia.

    Google Scholar 

  • American Institute of Steel Construction. (2003). Design guide 3: Serviceability design considerations for steel buildings (2nd ed.). Chicago: American Institute of Steel Construction.

    Google Scholar 

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

    Google Scholar 

  • Bender, D. A., & Skaggs, T. D. (1992). Shear deflection of composite wood beams. Wood and Fiber Science, 27, 327–338.

    Google Scholar 

  • British Standards Institution. (2000). Structural use of steelwork in building, Part 1: Code of practice for design – rolled and welded sections. London: British Standards Institution.

    Google Scholar 

  • Computers and Structures 2018, CSI Analysis Reference Manual for SAP2000, Berkeley, California. <http://docs.csiamerica.com/manuals/misc/CSI%20Analysis%20Reference%20Manual%202011-12.pdf>.

  • Esendemir, U. (2019). Derivation of equations for flexure and shear deflections of simply supported beams. Journal of Engineering Sciences, 15(2), 187–193.

    Google Scholar 

  • Far, H., Saleh, A., & Firouzianhaji, A. (2017). A simplified method to determine shear stiffness of thin walled cold formed steel storage rack frames. Journal of Constructional Steel Research, 138, 799–805.

    Article  Google Scholar 

  • Fatahi, B., & Tabatabaiefar, H. R. (2014). Effects of soil plasticity on seismic performance of mid-rise building frames resting on soft soils. Advances in Structural Engineering, An International Journal, 17(10), 1387–1402.

    Article  Google Scholar 

  • Haydar, H., Far, H., & Saleh, A. (2018). Portal steel trusses versus portal steel frames for long- span industrial buildings. Steel Construction, 11(3), 205–217.

    Article  Google Scholar 

  • Hot Rolled and Structural Steel Products, Welded Beams, viewed May 2018, https://www.libertyonesteel.com/media/165356/seventh-edition-hot-rolled-and-structural-steel-productsseventh-edition-hot-rolled-and-structural-steel-products.pdf

  • Ingkiriwang, Y., & Far, H. (2018). Numerical investigation of the design of single-span steel portal frames using the effective length and direct analysis methods. Steel Construction, 11(3), 184–191.

    Article  Google Scholar 

  • Iyer, H. (2005). The effects of shear deformation in rectangular and wide flange sections. Virginia: Virginia Polytechnic Institute and State University.

    Google Scholar 

  • Karttunen, A. T., Romanoff, J., & Reddy, J. N. (2016). Exact microstructure-dependent Timoshenko beam element. International Journal of Mechanical Sciences, 112, 35–42.

    Article  Google Scholar 

  • Kitis, L., Schramm, U., Kang, W., & Pilkey, W. D. (1994). On the shear deformation coefficient in beam theory. Finite Elements in Analysis and Design, 16, 141–162.

    Article  Google Scholar 

  • Lignola, G. P., Spena, F. R., Prota, A., & Manfredi, G. (2017). ‘Exact stiffness-matrix of two nodes Timoshenko beam on elastic medium An analogy with Eringen model of nonlocal Euler-Bernoulli nanobeams. Computers and Structures, 182, 556–570.

    Article  Google Scholar 

  • Lin, X., Far, H., & Saleh, A. (2019). Structural behaviour and mechanical properties of welded steel I-girders with corrugated webs. International Journal of Steel Structures, 19(4), 1342–1352.

    Article  Google Scholar 

  • Megson, T. H. G. (2014). Structural and stress analysis (3rd ed.). UK: Butterworth-Heinemann.

    Google Scholar 

  • Mingmin, T., Lichao, S., & Shui, W. (2013). Study of shear deformation’s influence on deflection of continuous composite box-girder bridge with corrugated steel webs. Applied Mechanics and Materials, 275, 961–965.

    Google Scholar 

  • Saleh, A., Far, H., & Mok, L. (2018). Effects of different support conditions on experimental bending strength of thin walled cold formed steel storage upright frames. Journal of Constructional Steel Research, 150, 1–6.

    Article  Google Scholar 

  • Saliba, N., & Gardner, L. (2012). Experimental study of the shear response of lean duplex stainless steel plate girders. Engineering Structures, 46, 375–391.

    Article  Google Scholar 

  • Salmon, C. G., Johnson, J. E., & Malhas, F. A. (1990). Steel structures: Design and behavior: emphasizing load and resistance factor design (3rd ed.). New York: Harper & Row.

    Google Scholar 

  • Schramm, U., Kitis, L., Kang, W., & Pilkey, W. D. (1994). On the shear deformation coefficient in beam theory. Finite Elements in Analysis and Design, 16, 141–162.

    Article  Google Scholar 

  • Standards, E. (2006). Eurocode 3: Design of steel structures, EN 1993-1-5:2006. Brussels: European Standards.

    Google Scholar 

  • Stramandinoli, R. S. B., & Rovere, H. L. L. (2012). FE model for nonlinear analysis of reinforced concrete beams considering shear deformation. Engineering Structures, 35, 244–253.

    Article  Google Scholar 

  • Tabatabaiefar, H., & Clifton, T. (2016). Significance of considering soil-structure interaction effects on seismic design of unbraced building frames resting on soft. Australian Geomechnics Journal, 51(1), 55–64.

    Google Scholar 

  • Tabatabaiefar, H. R., Fatahi, B., & Samali, B. (2012). Finite difference modelling of soil-structure interaction for seismic design of moment resisting building frames. Australian Geomechanics Journal, 47(3), 113–119.

    Google Scholar 

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Authors and Affiliations

  1. School of Civil and Environmental Engineering, Faculty of Engineering and Information Technology, University of Technology Sydney (UTS), Building 11, Level 11, Broadway, PO Box 123, Ultimo, NSW, 2007, Australia

    Salman Kamali & Harry Far

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  1. Salman Kamali
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  2. Harry Far
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Correspondence to Harry Far.

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Appendices

Appendix A

See Table

Table 3 Results of numerical analysis of Welded-Beam sections
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3

Appendix B

Comparison of FE and Formula Deflection Values Figs. 12,

Fig. 12
figure 12

Comparison of FE and formula deflection values for a Span length 12–20 m b Span length 3–10 m—1200WB455

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Fig. 13
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Comparison of FE and formula deflection values for a Span length 12–20 m b Span length 3–10 m—1000WB322

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Comparison of FE and formula deflection values for a Span length 12–20 m b Span length 3–10 m—900WB282

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Fig. 15
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Comparison of FE and formula deflection values for a Span length 12–20 m b Span length 3–10 m—800WB192

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Comparison of FE and formula deflection values for a Span length 12–20 m b Span length 3–10 m—700WB173

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Comparison of FE and formula deflection values for a Span length 5–10 m b Span length 1.5–4 m—500WC440

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Comparison of FE and formula deflection values for a Span length 5–10 m b Span length 1.5–4 m—400WC361

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Comparison of FE and formula deflection values for a Span length 5–10 m b Span length 1.5–4 m—350WC280

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Kamali, S., Far, H. Numerical Investigation on Shear Deflection of Steel Welded I Sections with Varying Span to Depth Ratios. Int J Steel Struct 21, 393–407 (2021). https://doi.org/10.1007/s13296-020-00445-y

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