In this paper, two developed methods of tooth root load carrying capacity calculations for beveloid gears
with parallel axes are presented. The first method calculates the tooth root load carrying capacity in an
FE-based approach. The initial step of the method is the manufacturing simulation in the WZL software
GearGenerator. The manufacturing simulation calculates the 3D geometry of the beveloid gears by
simulating the generating grinding process. The next step is an FE-based (finite element) tooth contact
analysis with the WZL software ZaKo3D which is able to calculate the tooth root stresses of several gear
types during the meshing. From these stresses and further parameters (e.g., local material properties) the
tooth root load carrying capacity is calculated in an approach which is based on the weakest link model of
Weibull.
The second method uses analytic formulas to calculate the tooth root load carrying capacity of beveloid
gears. In this method the tooth root load carrying capacity of beveloid gears is compared to the tooth root
load carrying capacity of cylindrical gears. The effects which are observed during this comparison are
described and formulas are derived to take these effects into account.
Finally both methods are applied to a test gear. The methods are compared to each other and to tests on
beveloids gears with parallel axes in test bench trials.

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