Abstract
In a previous paper, the authors considered the linear response of a solid prismatic elastic member to a torque which varied along the length of the member. The cross-section considered was only restricted by the requirement of two axes of symmetry. That restriction is removed in the present work, but its removal implies that the response to torque will generally now involve bending, so the treatment has been extended to allow arbitrary loading in torsion/flexure. It transpired that a satisfactory analysis is incompatible with the concept of a “shear centre”, and the existence of a shear centre, as part of a rigorous theory or as an approximation, is clarified in the paper.
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