Tooth stress calculation of metal spur and helical gears

A method for the calculation of the root and contact stresses for metal, spur and helical gears is presented in this work. The results of this method are verified by finite element calculations. This method enables the modeling of a pair of meshed gears during an interval of rotation by considering, for helical gears, a non-uniform load distribution along the lines of contact. Consequently, we were able to determine the parameters as well as the gear configurations for which the bending and contact stresses are maximum, in addition to relations directly yielding the critical bending and contact stress for a pair of mating spur and helical gears.