Step 1: Understanding the Question:
This question is about the design and static load-carrying capacity of rolling contact bearings.
It asks for the standard limiting value of permanent deformation allowed in ball bearings.
Step 2: Key Formula or Approach:
The static load capacity ($C_0$) of a bearing is defined as the static load that corresponds to a total permanent deformation of the rolling element and raceway at the most heavily stressed contact point.
Step 3: Detailed Explanation:
• Under high static loads, rolling bearings undergo local plastic (permanent) deformation at the contact surfaces.
• According to ISO standards, the maximum permissible permanent deformation that does not impair the smooth operation of the bearing is limited to $0.0001$ of the ball diameter.
• This extremely small limit is selected to prevent vibration, noise, and premature fatigue failure during subsequent rotation of the bearing.
• Thus, the ratio of permanent deformation to the ball diameter is limited to $10^{-4}$ (or $0.01\%$).
Step 4: Final Answer:
The limiting value of permanent deformation is $0.0001$ of the ball diameter.