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Cross-Section Properties and Elastic Lateral-Torsional Buckling Capacity of Steel Delta Girders

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Abstract

In this paper, the behavior of slender steel delta girders (SDG) is investigated both analytically and numerically. In the analytical analysis, closed-form equations for cross-section properties of SDG are derived. They are then compared with solutions obtained numerically. Using these cross-section properties, the theoretical elastic lateral-torsional buckling (LTB) strength of these girders are determined and compared with results obtained from a finite element analysis. The results show that the theoretical LTB equation derived for general open monosymmetric I-sections can be applied to these delta girders. Additionally, it is shown that a simplified expression for the coefficient of monosymmetry \(\beta_{x}\) derived for I-sections can be used in the computation of LTB strength for SDG. A parametric study is then performed to demonstrate the effectiveness of SDG in achieving a favorable strength-to-weight ratio when compared to standard I-section members. Based on the results of this parametric study, it is recommended that the height and width of the delta region of the cross-section be equal to two-fifth the height of the web and three-quarter the width of the compression flange, respectively.

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Authors and Affiliations

  1. Popli Design Group, Penfield, NY, 14526, USA

    Omar Y. El Masri

  2. Department of Civil and Environmental Engineering, Syracuse University, Syracuse, NY, 13244-1240, USA

    Eric M. Lui

Authors
  1. Omar Y. El Masri
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  2. Eric M. Lui
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Correspondence to Omar Y. El Masri.

Appendices

Appendix 1

See Table 13.

Table 13 Geometrical cross-sectional properties of steel delta girders
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Appendix 2

See Table 14.

Table 14 Torsional cross-sectional properties of steel delta girders
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El Masri, O.Y., Lui, E.M. Cross-Section Properties and Elastic Lateral-Torsional Buckling Capacity of Steel Delta Girders. Int J Steel Struct 19, 914–931 (2019). https://doi.org/10.1007/s13296-018-0175-y

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  • DOI: https://doi.org/10.1007/s13296-018-0175-y

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