Lateral buckling analysis of thin-walled functionally graded open-section beams

2017 ◽  
Vol 160 ◽  
pp. 952-963 ◽  
Author(s):  
Tan-Tien Nguyen ◽  
Pham Toan Thang ◽  
Jaehong Lee
1942 ◽  
Vol 9 (3) ◽  
pp. A103-A107 ◽  
Author(s):  
J. N. Goodier

Abstract The observed behavior of torsionally weak columns in buckling by twisting rather than, or as well as, bending is analyzed in this paper on the basis of a hypothesis due to Wagner. The theory is simplified, and extended to the general section, where results simpler than some already obtained by Kappus are given. It is further extended to bars, restrained by flexible sheets, and bars with constrained axes of rotation. Wagner’s hypothesis is applied to the problem of lateral buckling, where it yields the accepted theory for symmetrical sections, but indicates results of novel form for unsymmetrical cases. Similar results are obtained in the problem of eccentric thrust, whatever the section.


2016 ◽  
Vol 152 ◽  
pp. 829-839 ◽  
Author(s):  
Domagoj Lanc ◽  
Goran Turkalj ◽  
Thuc P. Vo ◽  
Josip Brnić

1950 ◽  
Vol 17 (4) ◽  
pp. 383-387
Author(s):  
J. N. Goodier

Abstract The torsional rigidity, for small elastic torsion, of bars of thin-walled open section, is, in general, altered by initial tension, compression, bending, or other axial stress. This appears in the increase of torsional stiffness of strips due to tension, in the decrease to zero in open sections which buckle torsionally as columns, and also has an influence on lateral buckling of beams. This paper contains an extension of the Saint Venant solution for ordinary torsion to the problem of torsion in the presence of initial axial stress with any distribution on the cross section. The results are confirmed by tests, and validate the intuitively derived formulas which are in use.


2017 ◽  
Vol 110 ◽  
pp. 88-96 ◽  
Author(s):  
Tan-Tien Nguyen ◽  
Pham Toan Thang ◽  
Jaehong Lee

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