Analysis of thin-walled beams with variable monosymmetric cross section by means of Legendre polynomials

Stabilization of Steel Beams of Monosymmetric Thin-Walled Cross-Section by Trapezoidal Sheeting

Steel thin-walled beams have been widely used in civil engineering as purlins, ceiling beams or wall substructure beams. There are often planar members such as trapezoidal sheeting or sandwich panels used as roof or wall cladding fastened to the steel beams. The planar members also serve as stabilization of thin-walled beams against buckling due to loss of stability. This paper focuses on probl...

Thin-walled beams: the case of the rectangular cross-section

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...

Semi-analytical Approach for Free Vibration Analysis of Variable Cross-Section Beams Resting on Elastic Foundation and under Axial Force

in this paper, free vibration of an Euler-Bernoulli beam with variable cross-section resting on elastic foundation and under axial tensile force is considered. Beam’s constant height and exponentially varying width yields variable cross-section. The problem is handled for three different boundary conditions: clamped-clamped, simply supported-simply supported and clamp-free beams. First, the equ...

Notes on the Linear Analysis of Thin-walled Beams

evaluation of fat atrophy in patients with dermis fat graft of orbit by ct-scan

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