Reliability of Bearing Calculator

✖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.ⓘ Corresponding Life of Bearing [L]			+10% -10%
✖Constant a of Bearing is used in the calculation of reliability of Bearing with a probability of survival other than 90%.ⓘ Constant a of Bearing [a]			+10% -10%
✖Constant b of Bearing is used in the calculation of reliability of Bearing with a probability of survival other than 90%.ⓘ Constant b of Bearing [b]			+10% -10%

✖Reliability of bearing is the minimum percentage probability of 90% of a group of identical bearings system achieving their L10 design life expectancy.ⓘ Reliability of Bearing [R]

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Reliability of Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b of Bearing)
R = e^(-(L/a)^b)
This formula uses 1 Constants, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

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.
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.
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%.
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%.

STEP 1: Convert Input(s) to Base Unit

Corresponding Life of Bearing: 5 --> No Conversion Required
Constant a of Bearing: 6.84 --> No Conversion Required
Constant b of Bearing: 1.17 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = e^(-(L/a)^b) --> e^(-(5/6.84)^1.17)

Evaluating ... ...

R = 0.500036863697363

STEP 3: Convert Result to Output's Unit

0.500036863697363 --> No Conversion Required

FINAL ANSWER

0.500036863697363 ≈ 0.500037 <-- Reliability of Bearing

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< Rolling Contact Bearing Configuration Calculators

Radial Factor of Roller Contact Bearing given Race Rotation Factor

LaTeX Go Radial Factor = (Equivalent Dynamic Load on Bearing-(Thrust Factor for Bearing*Axial or Thrust Load Acting on Bearing))/(Race-Rotation Factor*Radial Load Acting on Bearing)

Radial Load on Bearing given Race Rotation Factor

LaTeX Go Radial Load Acting on Bearing = (Equivalent Dynamic Load on Bearing-(Thrust Factor for Bearing*Axial or Thrust Load Acting on Bearing))/(Radial Factor*Race-Rotation Factor)

Race Rotation Factor of Roller Contact Bearing

LaTeX Go Race-Rotation Factor = (Equivalent Dynamic Load on Bearing-(Thrust Factor for Bearing*Axial or Thrust Load Acting on Bearing))/(Radial Factor*Radial Load Acting on Bearing)

Axial Thrust Load on Bearing given Race Rotation Factor

LaTeX Go Axial or Thrust Load Acting on Bearing = (Equivalent Dynamic Load on Bearing-(Radial Factor*Race-Rotation Factor*Radial Load Acting on Bearing))/Thrust Factor for Bearing

Reliability of Bearing Formula

LaTeX Go

Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b of Bearing)
R = e^(-(L/a)^b)

What is a rolling contact bearing?

The term rolling contact bearings refers to the wide variety of bearings that use spherical balls or some other type of roller between the stationary and the moving elements. The most common type of bearing supports a rotating shaft, resisting purely radial loads or a combination of radial and axial (thrust) loads.

How to Calculate Reliability of Bearing?

Reliability of Bearing calculator uses Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b of Bearing) to calculate 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 calculate Reliability of Bearing using this online calculator? To use this online calculator 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. Here is how the Reliability of Bearing calculation can be explained with given input values -> 0.500037 = e^(-(5/6.84)^1.17).

FAQ

What is 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" and is represented as R = e^(-(L/a)^b) or Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b 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, Constant a of Bearing is used in the calculation of reliability of Bearing with a probability of survival other than 90% & Constant b of Bearing is used in the calculation of reliability of Bearing with a probability of survival other than 90%.

How to calculate 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" is calculated using Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b of Bearing). To calculate Reliability of Bearing, you need Corresponding Life of Bearing (L), Constant a of Bearing (a) & Constant b of Bearing (b). With our tool, you need to enter the respective value for Corresponding Life of Bearing, Constant a of Bearing & Constant b of Bearing and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Reliability of Bearing?

In this formula, Reliability of Bearing uses Corresponding Life of Bearing, Constant a of Bearing & Constant b of Bearing. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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