Research Article
Jun 1978
Elementary Theory in Linearly Tapered Beams
Publication: Journal of the Engineering Mechanics Division
Volume 104, Issue 3
Abstract
With the use of a generalized Kirchhoff hypothesis in which the transverse shear strain in cylindrical coordinates is assumed to be zero, a beam theory is developed for linearly tapered members. The equations are analogous to those of conventional beam theory but they are applicable to a different class of problems. For a tip loaded, wedge-shaped cantilever beam, the radial stress is identical to the three-dimensional solution. The predicted shear stress distribution in the web of a wide flange web-tapered cantilever beam subjected to a tip force and moment agrees closely with a finite element solution to the same problem. With additional verification, the elementary theory may prove to be extremely useful for the design and analysis of tapered beams under more general conditions.
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Published In
Journal of the Engineering Mechanics Division
Volume 104 • Issue 3 • June 1978
Pages: 515 - 527
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Jun 1978
Published online: Feb 3, 2021
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Authors
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Howard L. Schreyer, M.ASCE
Mechanical Engineer, Reactor Analysis and Safety Div., Argonne National Lab., Argonne, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.