منابع مشابه
On the Exact Solution of Non-Uniform Torsion for Beams with Asymmetric Cross-Section
This paper deals with the problem of non-uniform torsion in thin-walled elastic beams with asymmetric cross-section, removing the basic concept of a fixed center of twist, necessary in the Vlasov’s and Benscoter’s theories to obtain a warping stress field equivalent to zero. In this new torsion/flexure theory, despite of the classical ones, the warping function will punctually satisfy the first...
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Constrained shape discovery and optimisation are difficult engineering problems. Shape discovery deals with evolving randomly generated solutions into useful intermediate solutions. These intermediate solutions are then optimised to suite their environment. In this paper a Genetic Algorithm (GA) is applied to the problem of finding the optimum cross section of a beam, subject to various loading...
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In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Ωε = ωε × (0, l) with rectangular cross-section ωε of sides ε and ε 2, as ε goes to zero. Under suitable assumptions on the given loads, we show that the threedimensional problem converges in a variational sense to the classical one-dimensional model for extension, flexure and...
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In this paper torsion of hollow Poroelastic shaft with Elliptical section is developed. Using the boundary equation scheme. It looks for a stress function where satisfied Poisson equation and vanishes on boundary. It also analyzed stress function and warping displacement for the hollow elliptical section in Poroelastic shaft. At the end, the result of elastic and poroelastic shaft in warping di...
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ژورنال
عنوان ژورنال: Proceedings of the Glasgow Mathematical Association
سال: 1962
ISSN: 2040-6185,2051-2104
DOI: 10.1017/s2040618500034559