On the Bending Stress of a Spur Gear : 2nd Report, The Stress Concentration Factor and the Equation for the Calculation of Bending Stress of a Gear Tooth

Abstract

In the present paper the authors studied the position of the weakest section of a gear tooth and the stress concentration factor at the tensile-side fillet of a tooth. Then they calculated the stress concentration factors for some components of the force on the tooth profile, and found the relation among these factors. Consequently the following formula has been introduced for the bending stress of a gear tooth : σ =(1+0.08S/P) (0.66σ_Nb+0.40√(σ<SUB)Nb<SUP2>+36τN²>+1.15σ_Nc) By this formula the authors calculated the bending stress of gear teeth of some shapes, and compared the results with those of photo-elastic experiments.