Lateral-Torsional Buckling of Shear Deformable Monosymmetric Steel I-Section Arches with Elastic Rotational-End Restraints under a Central Concentrated Load

2021 ◽  
Vol 147 (2) ◽  
pp. 04020321
Author(s):  
Lulu Liu ◽  
Hanwen Lu ◽  
Airong Liu ◽  
Yong-Lin Pi ◽  
Mark Andrew Bradford
Keyword(s):  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Concentrated Load ◽  
Shear Deformable

Shear-deformable hybrid finite-element formulation for lateral-torsional buckling analysis of composite thin-walled members

2020 ◽  
Author(s):  
Emre Erkmen ◽  
Vida Niki ◽  
Ashkan Afnani
Keyword(s):  
Finite Element ◽  
Beam Theory ◽  
Buckling Analysis ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Hybrid Finite Element ◽  
Thin Walled ◽  
Shear Deformable

A shear deformable hybrid finite element formulation is developed for the lateral-torsional buckling analysis of fiber-reinforced composite thin-walled members with open cross-section. The method is developed by using the Hellinger-Reissner functional. Comparison to the displacement-based formulations the current hybrid formulation has the advantage of incorporating the shear deformation effects easily by using the strain energy of the shear stress field without modifying the basic kinematic assumptions of the thin-walled beam theory. Numerical results are validated through comparisons with results based on other formulations presented in the literature. Examples illustrate the effects of shear deformations and stacking sequence of the composite layers in predicting bucking loads.

scholarly journals Analytical Solution for Lateral-Torsional Buckling of Concrete-Filled Tubular Flange Girders with Torsional Bracing

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Yingchun Liu ◽  
Zhaoming Hang ◽  
Wenfu Zhang ◽  
Keshan Chen ◽  
Jing Ji
Keyword(s):  
Analytical Solution ◽  
Lateral Displacement ◽  
Data Sets ◽  
Torsional Angle ◽  
The Finite Element Method ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Concentrated Load ◽  
Buckling Strength ◽  
Parametric Studies

Concrete-filled tubular flange girders have been used in bridges, and torsional bracings are widely used in them to increase the lateral-torsional buckling strength. This article proposes an analytical solution for the lateral-torsional buckling (LTB) of concrete-filled tubular flange steel girders with torsional bracing under a concentrated load. The modal trial functions of lateral displacement and the torsional angle are expressed by the first six terms of the trigonometric function. By introducing dimensionless parameters, the variational solution of energy for the buckling equation of the LTB of the girders is obtained, and the formula for the dimensionless critical moment of its LTB is derived using 1stOpt based on 32,550 data sets. Compared with the finite element method, the proposed critical formula is highly accurate and can be applied to engineering design. Finally, parametric studies were conducted on the effects of the stiffness of torsional bracing, the span of the girder, and the flange steel ratio.

scholarly journals Effects of Factors That Influence Out-of-Plane Lateral-Torsional Buckling on Freestanding Circular Arches

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Emmanuel-Peters Teke Tebo ◽  
Leonard Masu ◽  
Patrick Nziu
Keyword(s):  
Boundary Conditions ◽  
Cross Section ◽  
Design Codes ◽  
Structural Elements ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Concentrated Load ◽  
Out Of Plane ◽  
Real Behavior ◽  
Section Type

This paper presents the effects of the several factors that influence lateral-torsional buckling on freestanding circular arches. The studied factors that attribute to the effects of lateral-torsional buckling include cross section type, included angle, slender ratio, imperfection, loading, and boundary conditions. From the reviewed studies, the misrepresentation of these factors to a certain extent may yield inaccurate results. Several studies and design codes have proposed different solutions to account for these factors in designs against lateral-torsional buckling for some structural elements. However, there were no studies reported on the out-of-plane lateral-torsional buckling of fixed circular arches made of structural aluminum channel sections subjected to central concentrated load. Therefore, there is a need for further research on the lateral-torsional buckling real behavior of fixed circular arches of structural aluminum channels.

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