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Reliability of Bearing Formula

GoReliability of Bearing given Number of Bearings Formula

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Reliability of bearing is the minimum percentage probability of 90% of a group of identical bearings system achieving their L10 design life expectancy. Check FAQs

R = e^{- {(\frac{L}{a})}^{b}}

R - Reliability of Bearing?L - Corresponding Life of Bearing?a - Constant a of Bearing?b - Constant b of Bearing?

Reliability of Bearing Example

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Here is how the Reliability of Bearing equation looks like with Values.

Here is how the Reliability of Bearing equation looks like with Units.

Here is how the Reliability of Bearing equation looks like.

0.5 = e^{- {(\frac{5}{6.84})}^{1.17}}

0.5 = e^{- {(\frac{5}{6.84})}^{1.17}}

0.5 = e^{- {(\frac{5}{6.84})}^{1.17}}

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Reliability of Bearing Solution

Follow our step by step solution on how to calculate Reliability of Bearing?

FIRST Step Consider the formula

R = e^{- {(\frac{L}{a})}^{b}}

Next Step Substitute values of Variables

∴

R = e^{- {(\frac{5}{6.84})}^{1.17}}

Next Step Prepare to Evaluate

∴

R = e^{- {(\frac{5}{6.84})}^{1.17}}

Next Step Evaluate

∴

R = 0.500036863697363

LAST Step Rounding Answer

∴

R = 0.5

Reliability of Bearing Formula Elements

Variables

Reliability of Bearing

Reliability of bearing is the minimum percentage probability of 90% of a group of identical bearings system achieving their L10 design life expectancy.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reliability of Bearing

Corresponding Life of Bearing

Corresponding Life of Bearing is the amount of time that a group of apparently identical bearings will complete or exceed before the formation of a fatigue spall.

Symbol: L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Corresponding Life of Bearing

Constant a of Bearing

Constant a of Bearing is used in the calculation of reliability of Bearing with a probability of survival other than 90%.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant a of Bearing

Constant b of Bearing

Constant b of Bearing is used in the calculation of reliability of Bearing with a probability of survival other than 90%.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant b of Bearing

Other Formulas to find Reliability of Bearing

Go Reliability of Bearing given Number of Bearings

R = {R s}^{\frac{1}{N b}}

Other formulas in Rolling Contact Bearing Configuration category

Go Radial Load on Bearing given Race Rotation Factor

F r = \frac{P eq - (Y \cdot F a)}{X \cdot V}

Go Axial Thrust Load on Bearing given Race Rotation Factor

F a = \frac{P eq - (X \cdot V \cdot F r)}{Y}

Go Race Rotation Factor of Roller Contact Bearing

V = \frac{P eq - (Y \cdot F a)}{X \cdot F r}

Go Radial Factor of Roller Contact Bearing given Race Rotation Factor

X = \frac{P eq - (Y \cdot F a)}{V \cdot F r}

How to Evaluate Reliability of Bearing?

Reliability of Bearing evaluator uses Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b of Bearing) to evaluate the Reliability of Bearing, Reliability of Bearing is defined as "for a group of apparently identical rolling bearings, operating under the same conditions, the percentage of the group that is expected to attain or exceed a specified life". Reliability of Bearing is denoted by R symbol.

How to evaluate Reliability of Bearing using this online evaluator? To use this online evaluator for Reliability of Bearing, enter Corresponding Life of Bearing (L), Constant a of Bearing (a) & Constant b of Bearing (b) and hit the calculate button.

FAQs on Reliability of Bearing

What is the formula to find Reliability of Bearing?

The formula of Reliability of Bearing is expressed as Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b of Bearing). Here is an example- 0.500037 = e^(-(5/6.84)^1.17).

How to calculate Reliability of Bearing?

With Corresponding Life of Bearing (L), Constant a of Bearing (a) & Constant b of Bearing (b) we can find Reliability of Bearing using the formula - Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b of Bearing).

What are the other ways to Calculate Reliability of Bearing?

Here are the different ways to Calculate Reliability of Bearing-

Reliability of Bearing=Reliability of Bearing System^(1/Number of Bearings)

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Reliability of Bearing Formula

​GoReliability of Bearing given Number of Bearings Formula

Reliability of Bearing Example

Reliability of Bearing Solution

Reliability of Bearing Formula Elements

Other Formulas to find Reliability of Bearing

Other formulas in Rolling Contact Bearing Configuration category

How to Evaluate Reliability of Bearing?

FAQs on Reliability of Bearing

Variable Name

GoReliability of Bearing given Number of Bearings Formula