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Steel and Composite Structures Volume 28, Number 4, August25 2018 , pages 403-414 DOI: https://doi.org/10.12989/scs.2018.28.4.403 |
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Lateral-torsional buckling of functionally graded tapered I-beams considering lateral bracing |
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Mohammad Rezaiee-Pajand, Amir R. Masoodi and Ali Alepaighambar
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| Abstract | ||
| In this paper, the lateral-torsional buckling of axially-transversally functionally graded tapered beam is investigated. The structure cross-section is assumed to be symmetric I-section, and it is continuously laterally supported by torsional springs through the length. In addition, the height of cross-section varies linearly throughout the length of structure. The proposed formulation is obtained for the case that the elastic and shear modulus change as a power function along the beam length and section height. This structure carries two concentrated moments at the ends. In this study, the lateral displacement and twisting angle relation of the beam are defined by sinusoidal series. After establishing the eigenvalue equation of unknown constants, the beam critical bending moment is found. To validate the accuracy and correctness of results, several numerical examples are solved. | ||
| Key Words | ||
| functionally graded material; lateral and torsional buckling; tapered beam; warping; continuous torsional bracing | ||
| Address | ||
| Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran. | ||