1989 Volume 55 Issue 520 Pages 2465-2468
In the engineering beam theory shear deformation was neglected. No unified beam theory compensating the inconsistency caused by this has been yet proposed. On the basis of St. Venant's theory, the authors have studied so far on the coupled shearing and torsional deformation in the beams with arbitrary cross-section, and showed that these problems become the boundary value problems governed by Poisson's equation. In this study, these problems of coupled shearing and torsional deformation were analyzed by using the boundary element method in which the matrix of shear rigidity and torsional rigidity was determined. This matrix indicates the coupled shearing and torsional deflection. The shear center can be obtained determining the coordinate axes so as to eliminate the nondiagonal terms.
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
Transactions of the Japan Society of Mechanical Engineers Series C
Transactions of the Japan Society of Mechanical Engineers Series B