Hi Genman196/electricpete
Genman196 thanks for clarifying the view of the failed shaft.
electricpete, now the location of the failure as been confirmed I agree with you about the stress concentration for the following reasons.
Fatigue failures usually start at a stress concentration whether it be a mark on the surface of the shaft,a groove, or a fillet radius between two intersecting diameters.
Now we both agree that there was more than one crack initiation point,therefore a fillet radius between two diameters would create a stress raiser uniformly around the shaft.
Now to deal with the stresses, if we consider the shaft
a simply supported beam resting on the two bearings within the motor, it can be shown that the drive bearing takes the greatest reaction from the belt tension(the belt tension acting outside of the two bearing supports). Assuming that the reaction was at the drive bearing centre,then at that point the maximum bending moment would occur and the shearing stress due to bending would be zero,but the shear stress due to torsion would also be maximum.
Move slightly to the right of the bearing, to the area of the fillet radius, the bending stress would be slightly below maximum but the torsional shear stress would still be maximum and some bending shear stress would also be present.
Now if the stress concentration factor is 2 or 3 those nominal stresses in that area are now multiplied by 2 or 3
possibly making it the highest region of stress.
For a fatigue crack to grow it must do so under tensile stresses which are provided via the belt tension and as the shaft rotates,it is subject to cycling tensile stresses which can create multiple cracks.
The IZ in the failure is fairly central and its elongation from circular is due to plane bending,I see the plane bending as being something constant like the mass of the pulley acting in the same direction irrespective of the shaft rotation for example.
I look forward to more information from genman196 as we might home in on a better conclusion, but for now I'll stick with rotational bending fatigue.
Incidentally as the belt tension provides the catalyst for tensile stresses in the shaft I would be checking the motor specification for the allowable over hanging load/ as well as shaft misalignment seeing as the motor was replaced only two months ago.
This site is quite interesting it also shows some shaft fatigue failures and gives some diagrams of critical area's of failure:-
This site is from WEG and clearly they state a shaft failure may occur exactly where the OP's shaft as failed.
1.7 - SHAFT FRACTURES
Although bearings traditionally constitute the weaker part, and the shafts are designed with wide safety margins, it is not beyond the realms of possibility that a shaft may fracture by fatigue from bending stress brought about by excessive belt tension.
In most cases, fractures occur right behind the drive end bearing.
As a consequence of alternating bending stress induced by a rotating shaft, fractures travel inwards from the outside of the shaft until the point of rupture is reached when resistance of the remaining shaft cross-section no longer suffices. Avoid additional drilling the shaft (fastening screw holes) as such operations tend to cause stress concentration.
desertfox