Bending Stresses on Male Component in Tapered/Interference Fits

[whistleboy]

I'm looking for some help understanding bending stresses and stress concentrations in Morse Tapers (or any press-fit or interference-fit geometry). Specifically, I'm trying to understand the influence of a slot (and orientation of the slot) in the female component of a Morse Taper on the stresses developed in the male component when the male component is subject to lateral bending. I'm trying to find a relatively simple way to express the stresses acting on the male component mathematically as well as determine WHERE the maximum stresses would develop on the male component within the taper junction. Thank you so much!

 

[Navin A S]

It is difficult to answer your question without more specific information about the Morse taper, such as the geometry and material properties. However, there is some general information that may be useful. When calculating bending stresses, the first step is to compute the maximum stress that occurs at a point on the surface of the male component due to the applied bending moment. This is typically done using a beam theory formula such as the standard beam equation: σ = My/Iwhere M is the applied bending moment, y is the distance from the neutral axis to the point of interest, and I is the second moment of area of the cross-section. Once the maximum stress is known, it is necessary to account for stress concentrations due to the slot in the female component. Stress concentrations are typically calculated using finite element analysis. The amount of stress concentration depends on the shape and size of the slot, as well as its orientation relative to the male component. Generally, stress concentrations increase when the slot is oriented parallel to the direction of the applied bending moment. Hopefully this information is helpful in understanding the influence of a slot (and orientation of the slot) in the female component of a Morse Taper on the stresses developed in the male component when the male component is subject to lateral bending.