Theoretical and Computational Analysis of Circular Cantilever Tapered Beams
Publication: Practice Periodical on Structural Design and Construction
Volume 25, Issue 1
Abstract
Tapered beams are extensively used for structural applications due to their high stiffness-to-mass ratio. They provide many advantages over prismatic beams such as better shear carrying capacity, higher lateral stability, and weight savings. As it is known, axial stress , from Navier’s flexure formula, may be used to estimate bending stresses in tapered beams to some extent, and this can be useful for primary design purposes. However, since the section modulus may vary along the axis of tapered beams, due to the additionally generated shear stress field, the maximum stress cannot necessarily occur at the cross section of the tapered beams where the largest bending moment is present. Nevertheless, classical beam theories do not predict the shear stress distributions in tapered beams if the taper angle is greater than 15°. This study aims at combining the advanced mechanics of a material approach with the theory of elasticity for three different loading conditions applied at the free end of the circular cantilever tapered beams. Derived equations provide the stress distribution across the circular cantilever tapered beams subjected to axial tensile stress, bending moment, and transverse shear force. In order to verify the analytical calculations, a FEM model is employed, and its results shows a reasonable agreement with the analytical results.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the submitted article.
Acknowledgments
The authors would like to thank Professor Benjamin Liaw for his guidance.
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Published In
Practice Periodical on Structural Design and Construction
Volume 25 • Issue 1 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Mar 5, 2019
Accepted: Jul 29, 2019
Published online: Sep 18, 2019
Published in print: Feb 1, 2020
Discussion open until: Feb 18, 2020
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