Original scientific paper

https://doi.org/10.21278/TOF.473053623

The Out-of-plane Static Analysis of Thin-walled Curved H-beams

Dražen Kustura orcid.org/0000-0003-1510-8025 ; University of Split, Faculty of Science, Split, Croatia
Frane Vlak orcid.org/0000-0003-4394-8187 ; University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, Croatia
Tomislav Matić orcid.org/0000-0002-6161-7181 ; University of Split, Faculty of Science, Split, Croatia
Marko Vukasović ; University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, Croatia

Abstract

This paper presents an approximate approach to the out-of-plane linear static analysis of isotropic thin-walled curved beams with doubly symmetric H-shaped cross-sections, whose undeformed centroid line is the circular arc. The governing equations are derived using Vlasov's assumptions, the elasticity equations expressed in the cylindrical coordinate system, and the equilibrium equations for the curved centroid line. The terms containing the curvature effect are linearized by neglecting the higher order terms of the Maclaurin series expansion. With this linearization, the geometric properties for straight thin-walled beams can be used. An additional simplification is introduced by using the warping moment−bimoment relation for straight thin-walled beams. The approximate closed-form solutions for long, slightly, and moderately curved beams, obtained by the proposed and Vlasov’s approaches, are compared with the results of the shell finite element analysis by investigating the influence of beam length and curvature on displacements and normal stress.

Keywords

thin-walled curved beam; doubly symmetric H cross-sections; out-of-plane static analysis; closed-form solutions

Hrčak ID:

307694

URI

https://hrcak.srce.hr/307694

Publication date:

5.9.2023.

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