What is your definition of material strength? Do you want to know the tension stress to break the shaft, the torsional stress to break the shaft, the contact pressure required to indent the shaft, or something else? The case properties are localized to the area near the surface. If you are concerned with surface properties, then the case can have a large influence. If you are concerned about bulk properties, then the case has a much smaller influence.
Regards,
Cory
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