Worked Example: Rolling-Contact Bearing Selection

This worked example demonstrates how to find the required basic dynamic load rating ( $C_{10}$ ) for selecting a bearing from a catalog.

1. Problem Statement

A rotating shaft requires a ball bearing to support an equivalent radial load of $4000 \text{ N}$ . The shaft rotates at $1800 \text{ rpm}$ . Determine the required basic dynamic load rating ( $C_{req}$ ) if the bearing must have an $L_{10}$ life of $15,000$ hours.

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2. Given Data

Equivalent Radial Load (P_D)

Rotational Speed (n)

rpm

Design Life (L_h)

Exponent (a for ball bearing)

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3. Formula and Calculation

Calculate the required basic dynamic load rating ( $C_{req}$ ):

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The required load rating is approximately $46,983 \text{ N}$ or $47 \text{ kN}$ . A bearing with a $C_{10}$ rating of at least $47 \text{ kN}$ should be selected from the catalog.

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Worked Example: Rolling-Contact Bearing Selection

1. Problem Statement

2. Given Data

3. Formula and Calculation

1. Problem Statement

3. Formula and Calculation

Dynamic Load Rating

Where:

Calculation:

Dynamic Load Rating

Where:

Calculation: