THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (11): 1031-1037.

THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS

罗建辉, 李丽娟

Hunan University, Changsha

收稿日期:1991-05-01 出版日期:1992-11-18 发布日期:1992-11-18

THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS

Luo Jian-hui, Li Li-juan

Hunan University, Changsha

Received:1991-05-01 Online:1992-11-18 Published:1992-11-18

摘要/Abstract

摘要： A theory of elasticity for the bending of orthogonal anisotropic beams has been developed by analogy with the special case, which can be obtained by applying the theory of elasticity for bending of transversely isotropic plates[1] to the problems of two deminsions. In this paper, we present a method to solve the problems of bending of orthogonal anisotropic beams and a new theory of the deep-beam whose ratio of depth to length is larger. It is pointed out that Reissner’s theory to account for the effect of transverse shear deformation is not very approximate in the components of stress.

关键词: elasticity, orthogonal anisotropic beams, Reissner’s theory

Abstract: A theory of elasticity for the bending of orthogonal anisotropic beams has been developed by analogy with the special case, which can be obtained by applying the theory of elasticity for bending of transversely isotropic plates[1] to the problems of two deminsions. In this paper, we present a method to solve the problems of bending of orthogonal anisotropic beams and a new theory of the deep-beam whose ratio of depth to length is larger. It is pointed out that Reissner’s theory to account for the effect of transverse shear deformation is not very approximate in the components of stress.

Key words: elasticity, orthogonal anisotropic beams, Reissner’s theory

罗建辉;李丽娟. THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(11): 1031-1037.

Luo Jian-hui;Li Li-juan. THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(11): 1031-1037.

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THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS

THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS

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