Abstract
If bending and torsional moments are applied to an I-shaped beam member, the coupling of those two forces could reduce the bending moment capacity of that member. Therefore, the interaction between bending and torsional moments is an important issue for horizontally curved members that are always simultaneously subjected to bending and torsion. In this study, the behavior of the horizontally curved steel I-beam was investigated through numerical analysis. The ultimate state of sharply curved members that showed large displacement was defined in accordance with the stiffness reduction ratio to consist of strength curves. Based on the analysis results, interaction curves were established, and a strength equation was derived. The uniform torsional moment capacity, curvature, and slenderness parameters were considered in the equation, which were the main factors that affected the ultimate strength of curved members. The curvature effect was considered individually, so that the strength of the straight or curved girder could be estimated with a unified equation. To verify the accuracy of the suggested equation, experimental studies were also conducted. Consequently, the suggested equation shows very good agreement with the test results, and is expected to provide useful information for the design of curved members.
Highlights
As road networks are becoming more complex, the use of curved bridges is increasing for highway interchanges or overpasses, etc
Since the three-dimensional behavior of a curved member leads to highly nonlinear behavior, the coupling between bending and torsional moments should be considered in the design process to investigate the member strength
If local stability is prevented, the ultimate moment strength of the straight steel Ishaped member should be governed by lateral torsional buckling (LTB), which could be expressed as a function of unbraced length
Summary
As road networks are becoming more complex, the use of curved bridges is increasing for highway interchanges or overpasses, etc. If local stability is prevented, the ultimate moment strength of the straight steel Ishaped member should be governed by lateral torsional buckling (LTB), which could be expressed as a function of unbraced length. It is well-known that the initial imperfection of a straight girder affects the LTB strength of members. It is desirable that the straight girder should be considered as a special case among the members with countless cases of initial imperfection (or curvature). In order to investigate the ultimate strength of a curved member, the transfer matrix method was used by Fukumoto et al in 1981 [1]. Thereafter, Pi et al [8]
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