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W. T. Tsai

Bio: W. T. Tsai is an academic researcher from University of California, San Diego. The author has contributed to research in topics: Torsion (mechanics) & Pure bending. The author has an hindex of 4, co-authored 4 publications receiving 96 citations.

Papers
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TL;DR: In this article, the authors considered the problem of determining stresses and deformations in elastic thin-walled, prismatical beams, subject to axial end forces and end bending and twisting moments, within the range of applicability of linear theory.
Abstract: The paper considers the problem of determining stresses and deformations in elastic thin-walled, prismatical beams, subject to axial end forces and end bending and twisting moments, within the range of applicability of linear theory. The technically most significant aspect of the work has to do with the analysis of the effect of anisotropy of the material, which is associated with previously not determined modes of coupling between stretching, bending, and twisting. Use of the general formulas of the theory is illustrated for a class of shells consisting of an 'ordinary' material (unable to support stress moments with axes normal to the middle surface of the shell, and unable to undergo transverse shear deformation). Here explicit formulas are obtained for certain types of open as well as of closed-cross-section beams.

57 citations

Journal ArticleDOI
TL;DR: In this paper, the authors proposed new definitions for the centers of twist and of shear, in terms of influence coefficients for tip-loaded cantilever beams, applied in conjunction with a minimum complementary energy method for the approximate determination of the influence coefficients of the problem of thin-walled open and closed cross-section beams, with the possibility of a continuous transition from closed cross section to open cross section.
Abstract: : The authors have recently proposed new definitions for the centers of twist and of shear, in terms of influence coefficients for tip-loaded cantilever beams. These definitions are here applied in conjunction with a minimum complementary energy method for the approximate determination of the influence coefficients of the problem of thin-walled open and closed cross section beams, with the possibility of a continuous transition from closed cross section to open cross section. The result is an explicit formula for the coordinate of the centers of twist and of shear of beams the cross sections of which have one axis of symmetry. This formula includes as special cases the known elementary formula for open cross sections, an extension of this formula so as to include the case of flat plates, and a known formula for closed cross section thin-shell beams. (Author)

24 citations

Journal ArticleDOI

4 citations


Cited by
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Journal ArticleDOI
TL;DR: In this paper, a fully nonlinear, three-dimensional rod model is developed that incorporates transverse shear and torsion-warping deformation, and the underlying variational formulation of the model is discussed, and computational procedures employing a Galerkin projection are addressed.

319 citations

Journal ArticleDOI
TL;DR: In this article, a direct method for determining the effective elastic stiffnesses and deformation behavior of composite box-beam (BB) structures is developed analytically, validated, and demonstrated.
Abstract: A direct method for determining the effective elastic stiffnesses and deformation behavior of composite box-beam (BB) structures is developed analytically, validated, and demonstrated. The BB walls are modeled as orthotropic-ply laminated plates, so that the elastic properties vary both through the thickness and around the BB contour; deformation is described in terms of extension, bending, twisting, shearing, and torsion-related out-of-plane warping. Numerical results for several BB configurations are presented in tables and graphs and compared with experimental data and FEM computations (Stemple and Lee, 1989): good general agreement is obtained for cross-ply, antisymmetric, and symmetric layups, except for symmetric layups with ply orientation angles theta greater than 30 deg. Both out-of-plane warping and transverse shear coupling are found to have significant effects on BB elastic response.

268 citations

Journal ArticleDOI
TL;DR: In this paper, a variationally and asymptotically consistent theory is developed in order to derive the governing equations of anisotropic thin-walled beams with closed sections.

204 citations

01 Jan 1999
TL;DR: The goal of this paper is to objectively assess theories within a common framework and it is hoped that this will be a first step toward the clearly desirable situation in which an engineer can safely and easily choose a composite beam theory based on the type of application and specific needs for fidelity.
Abstract: There is no lack of composite beam theories. Quite to the contrary, there might be too many of them. Different approaches, notation, etc., are used by the authors of those theories, so it is not always straightforward to compare the assumptions made and to assess the quantitative consequences of those assumptions. Moreover, there is a serious lack of experimental results and benchmark problems. As a result, one finds that most theories perform about equally well on the few extant benchmark problems. This can obscure differences among theories and simultaneously create the false expectation that a specific theory will perform as well in all cases. The goal of this paper is to attempt to objectively assess theories within a common framework. The validity and relative importance of various assumptions that are present in the literature are discussed. It is hoped that this will be a first step toward the clearly desirable situation in which an engineer can safely and easily choose a composite beam theory based on the type of application and specific needs for fidelity.

138 citations

Journal ArticleDOI
TL;DR: In this paper, the validity and relative importance of various assumptions that are present in the literature are discussed and the goal of this paper is to attempt to objectively assess theories within a common framework, which is the first step toward the clearly desirable situation in which an engineer can safely and easily choose a composite beam theory based on the type of application and specific needs for fidelity.

126 citations