Abstract

The term Polygonal Cross-Section is given for a non-circular but continuosly curved cross-section. This profile is produced by the lathe tool which is reciprocated laterally, and synchronized with the revolution of main spindle. And the standard type of the profile is produced by the simple harmonic motion of the tool. We can use a pair of polygonal shaft and boss for the power transmission coupling. First of all, in this report, we touch on the theoretical analysis of the torsion of the bars with this profile. The shear stress, twisting moment and twist angle in the torsion of this bar are calculated approximately on the basis of Saint Venant theory. Next, some results of experiment are presented. It is shown that the analytical results agree satisfactorily with the experimental ones and can be used as the design formula.

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