An approximate torsional rigidity constant and a torsional shape factor for fibers with a generalized elliptical cross-section were obtained in the closed form. The Galerkin method was used to solve the torsion problem and Saint-Venant’s approximation formula for torsional rigidity constant was also obtained.
Get full access to this article
View all access options for this article.
References
1.
Arfken, G. B. , and Weber, H. J. , “Mathematical Methods for Physicists,”Academic Press, San Diego , 1995, pp. 613-619.
2.
Cook, R. D. and Young, W. C. , “Advanced Mechanics of Materials,”Prentice Hall, New Jersey , 1999, pp. 261-313.
3.
Duncan, W. J. , Applications of the Galerkin Method to the Torsion and Flexure of Cylinders and Prism , Phil. Mag., Ser.7, 25, 634-649 (1938).
4.
Sokolnikoff, I. S. , “Mathematical Theory of Elasticity,”McGraw-Hill, New York , 1956, pp. 413-420.
5.
Timoshenko, S. P. and Goodier. J. N. , “Theory of Elasticity”, McGraw-Hill, New York , 1970, pp. 291-353.
