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Axial–torsional coupled static behavior of inhomogeneous pretwisted cantilever beams

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Abstract

This study investigates the axial–torsional coupled static behavior of inhomogeneous pretwisted cantilever beams. The problem is formulated using the Saint–Venant torsion assumption, and warping-related stiffness coefficients are reexpressed in terms of Prandtl’s stress function. It is assumed that material distribution is parabolic in the thickness direction. Governing equations are derived using the minimum potential energy approach. To verify the approach used to compute warping-related stiffness coefficients in the inhomogeneous case, several validation studies are performed by comparing results with those obtained from the finite element analyses and multi-material beam approach. The effect of the material distribution parameter on these coefficients is examined. Then, for tip tensile force and tip torsional moment scenarios, it is shown that computed structural responses are in good agreement with those obtained from commercial finite element software. Finally, the effect of the material distribution parameter on the tip displacements is analyzed for these two loading scenarios. It is shown that in addition to geometric parameters, inhomogeneity can also affect the axial–torsional coupled static response of the pretwisted beam.

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Acknowledgements

The author, Ömer Ekim Genel, is supported by the Scientific and Technological Research Council of Turkey (TUBITAK) 2211-A National Ph.D. Scholarship Programme and would like to thank them for their support for his Ph.D. studies.

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This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. The authors have no competing interests to declare that are relevant to the content of this article.

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  1. Department of Mechanical Engineering, Istanbul Technical University, 34437, Istanbul, Turkey

    Ömer Ekim Genel & Ekrem Tüfekci

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Genel, Ö.E., Tüfekci, E. Axial–torsional coupled static behavior of inhomogeneous pretwisted cantilever beams. Acta Mech 234, 3421–3436 (2023). https://doi.org/10.1007/s00707-023-03561-y

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