There is a fine line between lazy and smart enough not to reinvent the wheel. I also happen to believe that the only stupid questions are the ones never asked. I just thought that there might be a simplified chart or graph on the subject.
Here is an older copy of the DIN standard, still very informational.I wonder whether it includes a safety factor. Hard to tell without access to the full DIN.
Thanks a lot! That was really going a long way in satisfying my curiosity. There is no explicit safety factor assumed but the assumptions for normal steel is low (and they say in 7.1 that is proportionally higher for steels with higher yield strength). The assumption of spring steel for the circlip (C65/1065 or better) explains the majority of the difference in the load bearing capacity between groove and clip in table 1. Of course, when the groove is significantly chamfered or rounded, the failure mode for the clip is buckling out (hence adjusting for the modulus of materials other than steel in 7.2).Here is an older copy of the DIN standard, still very informational.
I think the reason you are getting different results for the shaft vs the ring is there are different moduli to use for tensile vs. shear vs. plastic deformation. It looks like you have tensile values. The clip is a shear function and the shaft/groove is a plastic function.