scholarly journals Closure to “Discussions of ‘Sinusoidal Torsional Buckling of Bars of Angle Section Under Bending Loads, as a Problem of Plate Theory’” (1952, ASME J. Appl. Mech., 19, pp. 126–127)

1952 ◽  
Vol 19 (1) ◽  
pp. 127
Author(s):  
H. J. Plass
Keyword(s):  
Plate Theory ◽  
Torsional Buckling ◽  
Angle Section ◽  
Bending Loads

Sinusoidal Torsional Buckling of Bars of Angle Section Under Bending Loads, as a Problem in Plate Theory

1951 ◽  
Vol 18 (3) ◽  
pp. 285-292
Author(s):  
H. J. Plass
Keyword(s):  
Infinite Series ◽  
Plate Theory ◽  
Ritz Method ◽  
Compressive Load ◽  
Series Solutions ◽  
Torsional Buckling ◽  
Bending Load ◽  
Angle Section ◽  
Bending Loads

Abstract Timoshenko has applied plate theory to each leg of an angle-section bar to determine the critical compressive load needed to cause sinusoidal torsional buckling. In this paper his idea is used to calculate the critical bending load needed to cause sinusoidal torsional buckling of an angle bar. The bending is assumed to be applied so that the extreme fibers of the angle are in compression, the vertex in tension. Approximate results are first obtained by means of the Rayleigh-Ritz method. The approximate deflection functions from which the energy terms are computed are based upon certain infinite-series solutions. After having obtained approximate results, exact values are obtained, using the approximate values as a guide to limit the amount of calculation. The results of this calculation are shown in Fig. 5, where they are compared with those predicted by bar theory. Differences between the two theories become more noticeable as the bar becomes short compared to its flange width. It is found that the critical bending load becomes larger very rapidly as the ratio of length to width of the flanges decreases. Bar theory predicts no such increase. The reason for this difference is explained.

scholarly journals The Elastic Critical Load of Single Angle Columns

2016 ◽  
Vol 10 (1) ◽  
pp. 564-570 ◽  
Author(s):  
Ailin Zhang ◽  
Qingfang Zhang ◽  
Chao Sun
Keyword(s):  
Critical Load ◽  
Principal Axis ◽  
Minor Axis ◽  
Design Code ◽  
Torsional Buckling ◽  
Equal Angle ◽  
Angle Section ◽  
Present Design ◽  
Flexural Torsional Buckling ◽  
Code Provisions

The design of single angle columns requires the ability to predict their flexural-torsional buckling strengths and flexural buckling strengths about the minor principal axis. Present design code provisions are quite different. This paper presents close approximations for the elastic critical load of equal angle section columns. It is found that the member capacities are less than the minor axis capacity at low slenderness and almost remain constant. A formula of the balance point is proposed which is simpler and better understanding.

Refined plate theory and its variants

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 137-146 ◽  
Author(s):  
R. P. Shimpi
Keyword(s):  
Plate Theory ◽  
Refined Plate Theory
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