Abstract
This paper is a next step on the way to elaborate a general theory of thin-walled bars of variable: open cross-sections subjected to torsion. It is based on all classic principles of the technical torsion. theory of thin-walled bars with constant cross-sections.The theory presented relates exclusively to bars of bisymmetric I-cross-section type which change by variation of flange distance.
By the way of the energy-method the fundamental differential equation of the problem (3.10)
is derived, the expressions for cross-section forces [warping moment B (4.3) and torsion moments Hk (3.2) and Hω (5.12)], are established and formulae for normal – (4.6) and shearing stress (5.16)
are given.
In conclusion, the results obtained by the presented theory are compared with those given in
the paper [4].
References
1. Z. CYWINSKI, Teoria skrecania pretów cienkosciennych o zmiennej sztywności, Arch. Inzyn. Lad., 2, 10 (1964).
2. [in Russian]
3. F. BLBICH, Buckling Strength of Metal Structures, New York-Toronto-London 1952.
4. F. HAMAYOSHI, On Torsion of I-beam with a Web of Variable Height, Mem. Engng, Hokkaido Univ., 11, 1961.
5. L. COLLATZ, Numerische Behandlung von
Differentialgleichungen, Berlin-Göttingen-Heidelberg 1955.
6. M.G. SALVADORI, M.L. BARON, Numerical Methods in Engineering, Englewood Cliffs, N. J. 1961.
2. [in Russian]
3. F. BLBICH, Buckling Strength of Metal Structures, New York-Toronto-London 1952.
4. F. HAMAYOSHI, On Torsion of I-beam with a Web of Variable Height, Mem. Engng, Hokkaido Univ., 11, 1961.
5. L. COLLATZ, Numerische Behandlung von
Differentialgleichungen, Berlin-Göttingen-Heidelberg 1955.
6. M.G. SALVADORI, M.L. BARON, Numerical Methods in Engineering, Englewood Cliffs, N. J. 1961.
