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Steel and Composite Structures Volume 7, Number 6, December 2007 , pages 441-456 DOI: https://doi.org/10.12989/scs.2007.7.6.441 |
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The torsional stiffness of bars with ⌊, [, +, I, and cross-section |
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Piotr Gorzelanczyk, Henryk Tylicki and Jan A. Kolodziej
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| Abstract | ||
| The torsional stiffness of bars with L,?,+,I, and cross-section In literature for thin-walled sections with L,?,+,I, and - shapes the approximate torsion equations for stiffness are used which were proposed by Bach (Hsu 1984), p.30. New formulae for torsional stiffness of bars with L,?,+,I, and cross section valid not only for thin-walled sections are presented in this paper. These formulae are obtained by appropriate polynomial approximation of stiffness results obtained by means of method of fundamental solutions. On the base of obtained results the validity of Bach?s formulae are verified when cross section is not thin-walled. | ||
| Key Words | ||
| elastic torsion; torsional stiffness formulae; method of fundamental solution; polynomial approximation; L, ?,+,I, and cross sections. | ||
| Address | ||
| Piotr Gorzelanczyk; Higher Vocational State School Pila, Polytechnic Institute, ul. Podchora? z.ych 10, 64-920 Pi l a, Poland Henryk Tylicki; University of Technology and Life Science in Bydgoszcz, Faculty of Mechanical Engineering, Kaliskiego 7, 85-796 Bydgoszcz, Poland Jan A. Kolodziej; Institute of Applied Mechanics, Poznan University of Technology, ul. Piotrowo 3, 60-965 Poznan, Poland | ||