Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate Method
Thin-walled centrically compressed members with non-symmetrical or mono-symmetrical cross-sections can buckle in a torsional-flexural buckling mode. Vlasov developed a system of governing differential equations of the stability of such member cases. Solving these coupled equations in an analytic way...
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| Format: | Article |
| Language: | English |
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Sciendo
2015-03-01
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| Series: | Slovak Journal of Civil Engineering |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/sjce.2015.23.issue-1/sjce-2015-0004/sjce-2015-0004.xml?format=INT |
| _version_ | 1811321991739736064 |
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| author | Kováč Michal |
| author_facet | Kováč Michal |
| author_sort | Kováč Michal |
| collection | DOAJ |
| description | Thin-walled centrically compressed members with non-symmetrical or mono-symmetrical cross-sections can buckle in a torsional-flexural buckling mode. Vlasov developed a system of governing differential equations of the stability of such member cases. Solving these coupled equations in an analytic way is only possible in simple cases. Therefore, Goľdenvejzer introduced an approximate method for the solution of this system to calculate the critical axial force of torsional-flexural buckling. Moreover, this can also be used in cases of members with various boundary conditions in bending and torsion. This approximate method for the calculation of critical force has been adopted into norms. Nowadays, we can also solve governing differential equations by numerical methods, such as the finite element method (FEM). Therefore, in this paper, the results of the approximate method and the FEM were compared to each other, while considering the FEM as a reference method. This comparison shows any discrepancies of the approximate method. Attention was also paid to when and why discrepancies occur. The approximate method can be used in practice by considering some simplifications, which ensure safe results. |
| first_indexed | 2024-04-13T13:27:18Z |
| format | Article |
| id | doaj.art-a14ab6fb7e81404a85a29eba576dd1a4 |
| institution | Directory Open Access Journal |
| issn | 1210-3896 1338-3973 |
| language | English |
| last_indexed | 2024-04-13T13:27:18Z |
| publishDate | 2015-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Slovak Journal of Civil Engineering |
| spelling | doaj.art-a14ab6fb7e81404a85a29eba576dd1a42022-12-22T02:45:06ZengSciendoSlovak Journal of Civil Engineering1210-38961338-39732015-03-01231233210.1515/sjce-2015-0004sjce-2015-0004Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate MethodKováč Michal0Department of Metal and Timber Structures, Slovak University of Technology, Bratislava, Slovak RepublicThin-walled centrically compressed members with non-symmetrical or mono-symmetrical cross-sections can buckle in a torsional-flexural buckling mode. Vlasov developed a system of governing differential equations of the stability of such member cases. Solving these coupled equations in an analytic way is only possible in simple cases. Therefore, Goľdenvejzer introduced an approximate method for the solution of this system to calculate the critical axial force of torsional-flexural buckling. Moreover, this can also be used in cases of members with various boundary conditions in bending and torsion. This approximate method for the calculation of critical force has been adopted into norms. Nowadays, we can also solve governing differential equations by numerical methods, such as the finite element method (FEM). Therefore, in this paper, the results of the approximate method and the FEM were compared to each other, while considering the FEM as a reference method. This comparison shows any discrepancies of the approximate method. Attention was also paid to when and why discrepancies occur. The approximate method can be used in practice by considering some simplifications, which ensure safe results.http://www.degruyter.com/view/j/sjce.2015.23.issue-1/sjce-2015-0004/sjce-2015-0004.xml?format=INTTorsional-flexural bucklingelastic critical axial forcethin-walled metal membersnon-symmetrical and mono-symmetrical cross-sections |
| spellingShingle | Kováč Michal Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate Method Slovak Journal of Civil Engineering Torsional-flexural buckling elastic critical axial force thin-walled metal members non-symmetrical and mono-symmetrical cross-sections |
| title | Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate Method |
| title_full | Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate Method |
| title_fullStr | Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate Method |
| title_full_unstemmed | Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate Method |
| title_short | Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate Method |
| title_sort | elastic critical axial force for the torsional flexural buckling of thin walled metal members an approximate method |
| topic | Torsional-flexural buckling elastic critical axial force thin-walled metal members non-symmetrical and mono-symmetrical cross-sections |
| url | http://www.degruyter.com/view/j/sjce.2015.23.issue-1/sjce-2015-0004/sjce-2015-0004.xml?format=INT |
| work_keys_str_mv | AT kovacmichal elasticcriticalaxialforceforthetorsionalflexuralbucklingofthinwalledmetalmembersanapproximatemethod |