The Meshing Test on Helical Gears under Load Transmission : 2nd Report, The Approximate Formula for Bending-Moment Distribution of Gear Tooth

Abstract

An approximate formula is given for the distribution of bending-moment of gear tooth with finite width under the condition that a concentrated load acts on any location of its surface. This approximate formula includes the effect of the pressure angle of gear.This formula coincides with the numerical solutions obtained by applying the calculus of finite differences to the basic differential equation and with the results from strain-gages on the gear tooth.The effect of the number of teeth on the bending-moment distribution is not found in the results from straingage investigation.