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Closed-Form Approximate Formulas for Torsional Analysis of Hollow Tubes with Straight and Circular Edges

Published online by Cambridge University Press:  05 May 2011

A. Doostfatemeh ,
M. R. Hematiyan  and
S. Arghavan
A. Doostfatemeh*
Affiliation:
Department of Mechanical Engineering, School of Engineering 71345, Shiraz University, Shiraz, Iran
M. R. Hematiyan*
Affiliation:
Department of Mechanical Engineering, School of Engineering 71345, Shiraz University, Shiraz, Iran
S. Arghavan*
Affiliation:
Department of Mechanical Engineering, School of Engineering 71345, Shiraz University, Shiraz, Iran
*
*Master of Science
**Associate Professor, corresponding author
***Graduate Student
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Abstract

Some analytical formulas are presented for torsional analysis of homogeneous hollow tubes. The cross section is supposed to consist of straight and circular segments. Thicknesses of segments of the cross section can be different. The problem is formulated in terms of Prandtl's stress function. The derived approximate formulas are so simple that computations can be carried out by a simple calculator. Several examples are presented to validate the formulation. The accuracy of formulas is verified by accurate finite element method solutions. It is seen that the error of the formulation is small and the formulas can be used for analysis of thin to moderately thick-walled hollow tubes.

Keywords

TorsionHollow tubesHomogenousArbitrary shapes.

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Type
Articles
Information
Journal of Mechanics , Volume 25 , Issue 4 , December 2009 , pp. 401 - 409
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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References

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