Torsional Rigidity of Elastic Rods of Polygonal Cross Section

摘要

This article compares the known handbook- and paper-cited reduced geometric rigidities of regular polygon-shaped cross sections in the free torsion of bars against the values of the same parameter obtained by means of integral geometric cross-sectional arguments (the form factor and the conformal radii ratio). In the first case, the construction approximating function returns an approximation to the known values with an up to 1% error; the second-case error is up to 0.5%. The dependencies shown herein can be used to evaluate the torsional rigidity of the cross sections of bar-shaped elements employed in various mechanical systems, robotics, and equipment exposed to elastic deformation.