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St. Venant Torsion of “Thick‐Walled” Cylindrical Tubes
Author(s) -
Westbrook D. R.
Publication year - 1964
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19640441004
Subject(s) - torsion (gastropod) , shear stress , boundary value problem , rigidity (electromagnetism) , shell theory , mathematical analysis , mechanics , geometry , physics , mathematics , materials science , classical mechanics , shell (structure) , composite material , medicine , surgery
Use is made of the equations of cylindrical shell theory to obtain approximate expressions for the moments of the shears and for the shear stress at the boundary. Using these results, we are able to find approximate expressions for the torsional rigidity and the maximum shear stress which depend only on the geometrical properties of the cross‐section. ‐Some comparisons are made with exact solutions.