Torsion members - The Behaviour and Design of Steel Structures to EC3 - page 485

10.10.5Example 12 - elastic stresses
Use the solutions of examples 9 and 11 to determine
(a) the maximum nominal uniform torsion shear stress,
(b) the maximum warping shear stress, and
(c) the maximum warping normal stress.
10.10.6 Example 13 - design
Determinethemaximumdesigntorqueperunitlengththatshouldbepermittedon
thebeamofexamples11and12ifthebeamhasayieldstressof f y = 275N/mm 2 .
References
1. Kollbrunner, C.F. and Basler, K. (1969) Torsion in Structures, 2nd edition, Springer-
Verlag, Berlin.
2. Timoshenko,S.P.andGoodier,J.N.(1970) Theory of Elasticity, 3rdedition,McGraw-
Hill, NewYork.
3. El Darwish, I.A. and Johnston, B.G. (1965) Torsion of structural shapes, Journal of
the Structural Division, ASCE, 91, No. ST1, pp. 203-27.
4. Davison, B. and Owens, G.W. (eds) (2005) Steel Designers' Manual , 6th edition,
Blackwell Scientific Publications, Oxford.
5. Terrington, J.S. (1968) Combined bending and torsion of beams and girders, Publica-
tion 31 (First Part), British Construction SteelworkAssociation, London.
6. Nethercot, D.A., Salter, P.R., and Malik, A.S. (1989) Design of members subject to
combined bending and torsion, SCI Publication 057 ,The Steel Construction Institute,
Ascot.
7. Hancock, G.J. and Harrison, H.B. (1972) A general method of analysis of stresses
in thin-walled sections with open and closed parts, Civil Engineering Transactions,
Institution of Engineers, Australia, CE14, No. 2, pp. 181-8.
8. Papangelis, J.P. and Hancock, G.J. (1975) THIN-WALL - Cross Section Analysis and
Finite Strip Buckling Analysis of Thin-walled Structures - Users Manual , Centre for
Advanced Structural Engineering, University of Sydney.
9. Von Karman, T. and Chien, W-Z. (1946) Torsion with variable twist, Journal of the
Aeronautical Sciences, 13, No. 10, pp. 503-10.
10. Smith,F.A.,Thomas,F.M.,andSmith,J.0.(1970)Torsionanalysisofheavyboxbeams
in structures, Journal of the Structural Division, ASCE, 96, No. ST3, pp. 613-35.
11. Galambos, T.V. (1968) Structural Members and Frames, Prentice-Hall, Englewood
Cliffs, New Jersey.
12. Kitipornchai, S. andTrahair, N.S. (1972) Elastic stability of tapered I-beams, Journal
of the Structural Division, ASCE, 98, No. ST3, pp. 713-28.
13. Kitipornchai,S.andTrahair,N.S.(1975)Elasticbehaviouroftaperedmonosymmetric
I-beams, Journal of the Structural Division, ASCE, 101, No. ST8, pp. 1661-78.
14. Vlasov, V.Z. (1961) Thin-walled Elastic Beams , 2nd edition, Israel Program for
ScientificTranslations, Jerusalem.
15. Zbirohowski-Koscia, K. (1967) Thin-walled Beams, Crosby Lockwood and Son, Ltd,
London.