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Steel and Composite Structures Volume 46, Number 3, February10 2023 , pages 293-318 DOI: https://doi.org/10.12989/scs.2023.46.3.293 |
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Determining elastic lateral stiffness of steel moment frame equipped with elliptic brace |
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Habib Ghasemi Jouneghani, Nader Fanaie, Mohammad Talebi Kalaleh and Mina Mortazavi
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Abstract | ||
This study aims to examine the elastic stiffness properties of Elliptic-Braced Moment Resisting Frame (EBMRF) subjected to lateral loads. Installing the elliptic brace in the middle span of the frames in the facade of a building, as a new lateral bracing system not only it can improve the structural behavior, but it provides sufficient space to consider opening it needed. In this regard, for the first time, an accurate theoretical formulation has been developed in order that the elastic stiffness is investigated in a two-dimensional single-story single-span EBMRF. The concept of strain energy and Castigliano' s theorem were employed to perform the analysis. All influential factors were considered, including axial and shearing loads in addition to the bending moment in the elliptic brace. At the end of the analysis, the elastic lateral stiffness could be calculated using an improved relation through strain energy method based on geometric properties of the employed sections as well as specifications of the utilized materials. For the ease of finite element (FE) modeling and its use in linear design, an equivalent element was developed for the elliptic brace. The proposed relation was verified by different examples using OpenSees software. It was found that there is a negligible difference between elastic stiffness values derived by the developed equations and those of numerical analysis using FE method. | ||
Key Words | ||
Castigliano's theorem; drift; elastic lateral stiffness; elliptic-braced moment frame; Numerical analysis' strain energy | ||
Address | ||
Habib Ghasemi Jouneghani:School of Civil and Environmental Engineering, University of Technology Sydney, NSW, Australia Nader Fanaie:Department of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran Mohammad Talebi Kalaleh:Department of Civil and Environmental Engineering, University of Alberta, Canada Mina Mortazavi:School of Civil and Environmental Engineering, University of Technology Sydney, NSW, Australia | ||