Bending Strength of Gear Teeth by Cantilever-Plate Theory

Abstract

This paper presents a study of the bending strength of gear teeth based on a cantilever-plate approach. A semiempirical solution is given for the finite cantilever plate under transverse loads at any location on its surface. The solution which is based on the principle of superposition and a proposed moment-image method showed good agreement with results from strain-gage investigations on cantilever plates simulating the gear tooth. The effects of the position of the line load and the variation of load intensity on the stress distribution at the root are discussed.