| Abstract: | Deformation method for centrically compressed thin‐walled bars with mono‐ and bisymmetrical open cross‐sections. In correspondence with the classic deformation method of warping torsion for thin‐walled bars 1], that method has been moved into the field of column stability. For the single cross‐sectional symmetry, the general solution of the fundamental system of equations has been found and its particular shapes for three basic kinds of column support presented. Thereby, the formulas or the boundary simplified for analysis of the bimoments have been settled. These relations have been simplified for the double cross‐sectional symmetry. An analysis of a bisymmetrical cross‐section has lead to the determination of the necessary boundary forces for the three kinds of column support considered. It has been shown that all the relations for torsion are similar to those for bending. A proposal for the calculations of the critical loads of torsional buckling in continuous columns has been formulated and a relevant numerical example given. The paper calls special attention to the related merits of Professor Kurt Klöppel , a graduate of the former Technischen Hochschule Danzig. Actually, already 100 years have passed since the foundation of TH Danzig. It is also the predecessor of the contemporary Politechnika Gdańska, with which the author is being connected since 1949. |
