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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