Stress Analysis of the Michell Cantilever Beam. Report no. 7101

Caldwell, A. (1971) Stress Analysis of the Michell Cantilever Beam. Report no. 7101. Technical Report. Department of Aeronautics and Fluid Mechanics, University of Glasgow.

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Abstract

The theory of layout of optimum two-dimensional frameworks is developed using directly the idea of compatibility of strain in the virtual deformation determined by Michell. Appropriate equilibrium equations are derived and solved for the special case of an equiangular spiral layout used to form a cantilever beam. It is concluded that the mathematical complexity which arises in dealing with this relatively simple layout raises doubts as to the value of seeking analytic solutions of the layout and equilibrium equations.

Item Type:Research Reports or Papers (Technical Report)
Additional Information:University of Glasgow author: A. Caldwell.
Status:Published
Glasgow Author(s) Enlighten ID:UNSPECIFIED
Authors: Caldwell, A.
College/School:College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
Publisher:Department of Aeronautics and Fluid Mechanics, University of Glasgow
Copyright Holders:Copyright © 1971 Department of Aeronautics and Fluid Mechanics, University of Glasgow
Publisher Policy:Reproduced with the permission of the Department

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