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The Generalized Brazier Problem for Orthotropic Straight Tubes of Finite Length

by C. W. Bert, Univ of Oklahoma, Norman, United States,
A. Libai, Univ of Oklahoma, Norman, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

A new engineering approach, based upon a mixed variational functional, is presented for the analysis of the nonlinear static behavior of thin-walled, circular-cross-section cylindrical tube-beams subjected to axial bending moment. The tube material is orthotropic and linearly elastic. This theory is a generalization of the well-known theory of Brazier (1927), which is limited to infinite-length tubes of isotropic materials. The generalization of the present theory includes provision for variable bending moment, finite length, arbitrary boundary conditions, and orthotropic material. Numerical results of analytical solutions are given for two specific examples involving finite-length tubes: (1) tube simply supported with rigid rings at both ends and subjected to beam bending moments and (2) tube clamped to rigid rings at the ends and loaded by a transverse shear force applied to a central rigid ring.

Subject Headings: Tubes (structure) | Orthotropic materials | Shear stress | Shear forces | Moment (mechanics) | Beams | Transverse shear

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