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Deflexion of Tapered Beams

Deflexion of Tapered Beams IN the following investigation we consider the deflection due to bending of a tapered cantilever beam carrying concentrated end and lateral loads at the free tip. The mode of taper of the beam is assumed of a generalized form, and is such that the second moment of the area of the crosssection at any point varies as the nth power of its distance from the unsupported vertex. Detailed calculations are given for the cases n 1,2,3,4 corresponding to the types of beams most commonly arising in practice. It is shown that fairly substantial errors may arise if the commonly used approximate treatments are adopted. The theory may also be extended to yield the value of the critical end loads for tapered struts conforming to any value of n. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Aircraft Engineering and Aerospace Technology Emerald Publishing

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0002-2667
DOI
10.1108/eb031303
Publisher site
See Article on Publisher Site

Abstract

IN the following investigation we consider the deflection due to bending of a tapered cantilever beam carrying concentrated end and lateral loads at the free tip. The mode of taper of the beam is assumed of a generalized form, and is such that the second moment of the area of the crosssection at any point varies as the nth power of its distance from the unsupported vertex. Detailed calculations are given for the cases n 1,2,3,4 corresponding to the types of beams most commonly arising in practice. It is shown that fairly substantial errors may arise if the commonly used approximate treatments are adopted. The theory may also be extended to yield the value of the critical end loads for tapered struts conforming to any value of n.

Journal

Aircraft Engineering and Aerospace TechnologyEmerald Publishing

Published: Nov 1, 1945

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