Wheel Hub Assembly: Ideal Moment and Bearing-row Reaction Calculator

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An offset corner force creates a hub moment. This simplified calculation represents that moment with an equal-and-opposite bearing-row couple separated by the entered spacing, then resolves the row reaction along an entered contact angle.

Wheel Hub Assembly Interactive Calculator

Enter corner force, moment arm, bearing-row spacing and contact angle. Results describe an ideal static force balance. They do not give bearing life, preload, combined loading, stiffness or a hub specification.

0°

Force-offset moment
--
Ideal couple reaction per row
--
Contact-angle quotient
--
Fixed displayed reference
--

Equation Used

M=Fe; row reaction=M/s; contact-load quotient=row reaction/sin(alpha); displayed runout reference=0.050 mm.
The model applies the entire entered moment to a pure two-row couple. The contact-load quotient is a geometric resolution only. The 0.050 mm runout reference is fixed by the calculator and is not a calculated limit or universal specification.
  • The corner force is static and acts at the entered perpendicular offset.
  • Two bearing rows form a pure couple at the entered spacing.
  • The entire row reaction is resolved through the entered contact angle.
  • Radial load sharing, preload, axial load, multiple contacts and stiffness are omitted.
  • Bearing life, fit, temperature, lubrication, fatigue and safety are omitted.
Same mechanism and inputs as the interactive calculator.

Idealized Hub Bearing-Row Couple

The NASA Glenn torque reference supports the force-times-offset moment relation. The remaining row-couple and angle resolution are declared simplifying assumptions.

What This Calculator Represents

It is a static moment and idealized two-row reaction screen.

Moment and Couple comparison

M=Fe
F_row=M/s
F_contact=F_row/sin(alpha)

The displayed 0.050 mm runout reference is fixed, not computed.

Worked Scenario

At 3 kN, 50 mm offset and 35 mm row spacing, moment is 150 N m and ideal row reaction about 4.29 kN. At 35 degrees, the contact-load quotient is about 7.47 kN.

Assumptions and Limits

  • Calculated: force-offset moment and ideal couple/angle quotients.
  • Illustrated: two bearing rows, spacing, force and reactions.
  • Not calculated: bearing life, preload, stiffness, load sharing, fit, runout generation, fatigue or safety.

Frequently Asked Questions

Is row reaction a measured bearing load?

No.

Is contact load a life rating?

No.

Is 0.050 mm a universal limit?

No; it is a fixed displayed reference.

Are radial and axial loads combined?

No.

Is preload included?

No.

Can this select a bearing?

No.

References

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