scholarly journals Effects of end-plate on the critical moment of I-section cantilever beam with free end restrained laterally

2021 ◽  
Vol 15 (1) ◽  
pp. 102-109
Author(s):  
Trinh Duy Khanh ◽  
Nguyen Minh Tuyen ◽  
Bui Hung Cuong
Keyword(s):  
Cantilever Beam ◽  
Torsional Stiffness ◽  
Effective Length ◽  
Coefficient Of Determination ◽  
Cantilever Beams ◽  
Lateral Buckling ◽  
Plate Edge ◽  
End Plate ◽  
Effective Length Factor ◽  
Flexural Torsional Buckling

Effects of end-plate on the lateral buckling of doubly symmetrical I-section cantilever beam with free end restrained laterally are analyzed using the software COMSOL and linear shell finite elements. The torsional stiffness of the end-plate prevents the free warping of flanges and decreases the warping effective length of the cantilever beam. A parametric study is conducted on 3231 cantilever beams under uniform bending to propose an approximative formula to determine the warping effective length factor which depends on the ratio between the torsional constant of the end-plate and the warping stiffness of the beam. The small standard deviation and high coefficient of determination show a very good correlation between analytical formulas and numerical results. Numerical applications are applied to analyze some cantilever beams subjected to uniform bending to demonstrate the reliability of the proposed formula and the effects of the end-plate on the enhancement of the global stability of cantilever beams with free end restrained laterally. Keywords: cantilever lateral buckling; end-plate; edge stiffener; flexural-torsional buckling; warping effective length; warping effective length factor.

On the lateral buckling of uniform slender cantilever beams

1975 ◽  
Vol 11 (12) ◽  
pp. 1269-1280 ◽  
Author(s):  
Dewey H. Hodges ◽  
David A. Peters
Keyword(s):  
Cantilever Beams ◽  
Lateral Buckling

scholarly journals Calibration of Design Buckling Curves for Lateral-Torsional Buckling of Cantilever Beams Made of Glass—Experimental and Numerical Investigations

2019 ◽  
Vol 9 (16) ◽  
pp. 3432
Author(s):  
Ralph Timmers ◽  
Tobias Neulichedl
Keyword(s):  
Cantilever Beam ◽  
Cantilever Beams ◽  
Testing Device ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Numerical Investigations ◽  
Buckling Behavior ◽  
Load Carrying ◽  
Special Case ◽  
Important System

Using glass as a primary load-carrying element is becoming more and more popular in architecture. Probably the most used application is the single-span girder, but another important system is the cantilever beam, which is widely used, e.g., as a canopy in front of an entrance. Research on the lateral-torsional buckling behavior of glass beams has been typically performed on single-span girders. As a consequence, the design buckling curves provided in literature are usually too conservative for the widely used case of a cantilever beam, which is also related to the loading situation. Therefore, experimental and numerical investigations have been performed for this special case. Based on the obtained results, design buckling curves have been developed and resulted in being more economical than the curves already given in the literature. Among others, information on the shape and size of the real imperfections, a testing device for cantilever beams, and experimentally and numerically obtained load-deflection curves are additional outcomes of the investigations presented here.

scholarly journals Inelastic Effective Length Factor of Nonsway Reinforced Concrete Columns

2009 ◽  
Vol 135 (9) ◽  
pp. 1034-1039 ◽  
Author(s):  
A. Bendito ◽  
M. L. Romero ◽  
J. L. Bonet ◽  
P. F. Miguel ◽  
M. A. Fernandez
Keyword(s):  
Reinforced Concrete ◽  
Concrete Columns ◽  
Effective Length ◽  
Reinforced Concrete Columns ◽  
Effective Length Factor

Lateral torsional buckling of steel twin plate girder systems with torsional braces only

2016 ◽  
Vol 43 (2) ◽  
pp. 182-192 ◽  
Author(s):  
Chris Mantha ◽  
Xi Chen ◽  
Yi Liu
Keyword(s):  
Finite Element ◽  
Design Procedure ◽  
Element Model ◽  
Torsional Stiffness ◽  
Effective Length ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Finite Element Study ◽  
Element Study ◽  
Plate Girder

This paper presents results of both an experimental and a finite element study on the lateral torsional buckling behaviour and strength of twin plate girder systems with only discrete torsional braces. Two scaled twin-beam specimens with different arrangements of lateral and torsional braces were tested and results were used to validate the finite element model. The finite element study considered the effect of individual brace member stiffness and the number of braces. Results showed that for twin plate girders braced with only torsional braces, the critical buckling moment has the most significant increase when the number of interior braces increases from two to three. For a given girder section, the increase in the critical moment capacity by increasing the cross-frame member size is minimal. The lateral torsional buckling moment equation as well as the brace force design procedure contained in the Canadian Highway Bridge Design Code were examined. A relationship between the ratio of provided-to-required torsional stiffness and the effective length factor was discussed.

Flexural-Torsional Buckling of Double-Angle Compression Members

2013 ◽  
Vol 284-287 ◽  
pp. 1334-1339
Author(s):  
Jui Ling Liu ◽  
Dung M. Lue ◽  
Ching H. Lin
Keyword(s):  
Computer Program ◽  
Effective Length ◽  
Torsional Buckling ◽  
Easy Task ◽  
Routine Design ◽  
Compression Members ◽  
The Difference ◽  
Flexural Torsional Buckling ◽  
Torsion Condition

The evaluation for double-angle compression members is a tedious procedure and is not an easy task for practicing engineers. In this study, a computer program has been developed to calculate the Pu based on the AISC specifications. It is found that the calculated value is quite close to the tabulated one if effective length (KL) is longer than 10 feet. However, the Pu is not tabulated for effective length less than 10 feet in some lager sections. It is found that the differences between the calculated value and the interpolated value could be as much as 20%. Unfortunately, the difference errors are not on conservative side and the use of interpolated values is not acceptable in practice. This study evaluates all double-angle compressive formulas provided by the AISC manuals and the comparisons among them are presented. The Pu versus KL curves, in which effective lengths less than 10 feet are added and plotted. Some supplementary tabulated values, which required in routine design and not listed in current AISC design manuals, are also furnished. This study will fulfill the needs for those who seek higher performance and wider coverage when evaluating the design of double-angle compression members under flexural-torsion condition.

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