Session Start Date

11-7-2018

Session End Date

11-8-2018

Abstract

In this work, the first-order behavior of naturally curved thin-walled bars with circular axis, without pre-twist, is assessed with the help of the Generalized Beam Theory (GBT) formulation previously developed by the authors. With respect to the previous work, which dealt with simple cross-sections, the present paper presents a method to obtain the deformation modes for arbitrary flat-walled cross-sections. Despite the complexity involved in this generalization, the standard GBT kinematic assumptions are kept, since they are essential to (i) subdivide the modes in a meaningful way and (ii) reduce the number of DOFs necessary to obtain accurate solutions. It is shown that the curvature of the bar influences significantly the deformation mode shapes. Furthermore, a standard displacement-based finite element (FE) is employed to solve several examples that highlight the peculiar behavior of curved members. For validation and comparison purposes, results obtained using shell FE models are provided. Finally, the superiority of a mixed GBT-based FE format is demonstrated.

Department(s)

Civil, Architectural and Environmental Engineering

Meeting Name

Wei-Wen Yu International Specialty Conference on Cold-Formed Steel Structures 2018

Publisher

Missouri University of Science and Technology

Publication Date

11-7-2018

Document Version

Final Version

Rights

© 2018 Missouri University of Science and Technology, All rights reserved.

Document Type

Article - Conference proceedings

File Type

text

Language

English

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Using Generalized Beam Theory to Assess the Behavior of Curved Thin-Walled Members

In this work, the first-order behavior of naturally curved thin-walled bars with circular axis, without pre-twist, is assessed with the help of the Generalized Beam Theory (GBT) formulation previously developed by the authors. With respect to the previous work, which dealt with simple cross-sections, the present paper presents a method to obtain the deformation modes for arbitrary flat-walled cross-sections. Despite the complexity involved in this generalization, the standard GBT kinematic assumptions are kept, since they are essential to (i) subdivide the modes in a meaningful way and (ii) reduce the number of DOFs necessary to obtain accurate solutions. It is shown that the curvature of the bar influences significantly the deformation mode shapes. Furthermore, a standard displacement-based finite element (FE) is employed to solve several examples that highlight the peculiar behavior of curved members. For validation and comparison purposes, results obtained using shell FE models are provided. Finally, the superiority of a mixed GBT-based FE format is demonstrated.