TY - JOUR
T1 - On the torsion of cylinders of symmetrical section
JF - Proceedings of the Royal Society of London. Series A
JO - Proc R Soc Lond A Math Phys Sci
SP - 95
LP - 113
M3 - 10.1098/rspa.1932.0069
VL - 136
IS - 829
AU -
Y1 - 1932/05/02
UR - http://rspa.royalsocietypublishing.org/content/136/829/95.abstract
N2 - 1. Introduction and Summary.—Several methods are already known for the approximate solution of the St. Venant torsion problem for cylinders of arbitrary sectional form. In the present investigation the object is to obtain a solution by calculation directly from the equation to the boundary of the section. In many technical problems the section of the cylinder is thin, i. e., the ratio of breadth to length is small, and particular interest therefore attaches to methods which are specially adapted to such cases. Accordingly the method suggested here is to expand the solution in ascending powers of a “thickness parameter”; and the solution is applicable to the family of boundaries which are obtained by variation of the parameter. Hitherto the method has only been applied to solid sections having an axis of symmetry, and the boundaries of the family are accordingly orthogonal projections of one another.
ER -