Reliability of Complete Bearing System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reliability of Bearing System = Reliability of Bearing^Number of Bearings
Rs = R^Nb
This formula uses 3 Variables
Variables Used
Reliability of Bearing System - Reliability of bearing system is the minimum percentage probability of 90% of a group of identical bearings system achieving their L10 design life expectancy.
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.
Number of Bearings - Number of Bearings Value is defined as the number of bearings in a bearing system.
STEP 1: Convert Input(s) to Base Unit
Reliability of Bearing: 0.88 --> No Conversion Required
Number of Bearings: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rs = R^Nb --> 0.88^4
Evaluating ... ...
Rs = 0.59969536
STEP 3: Convert Result to Output's Unit
0.59969536 --> No Conversion Required
FINAL ANSWER
0.59969536 0.599695 <-- Reliability of Bearing System
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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21 Rolling Contact Bearing Configuration Calculators

Radial Factor of Roller Contact Bearing given Race Rotation Factor
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
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
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
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
Thrust factor of Bearing given Race Rotation Factor
Go Thrust Factor for Bearing = (Equivalent dynamic load on bearing-(Radial Factor*Race-rotation factor*Radial load acting on bearing))/Axial or thrust load acting on bearing
Radial Factor of Roller Contact Bearing
Go Radial Factor = (Equivalent dynamic load on bearing-(Thrust Factor for Bearing*Axial or thrust load acting on bearing))/(Radial load acting on bearing)
Radial Load on Bearing
Go Radial load acting on bearing = (Equivalent dynamic load on bearing-(Thrust Factor for Bearing*Axial or thrust load acting on bearing))/(Radial Factor)
Axial Thrust Load on Bearing given Thrust Factor
Go Axial or thrust load acting on bearing = (Equivalent dynamic load on bearing-(Radial Factor*Radial load acting on bearing))/Thrust Factor for Bearing
Thrust factor of Bearing
Go Thrust Factor for Bearing = (Equivalent dynamic load on bearing-(Radial Factor*Radial load acting on bearing))/Axial or thrust load acting on bearing
Number of Bearings required given Reliability
Go Number of Bearings = (log10(Reliability of Bearing System))/(log10(Reliability of Bearing))
Load on Bearing given Moment on bearing
Go Load Acting on Bearing = Friction moment on bearing/(Coefficient of friction for bearing*(Bore Diameter of bearing/2))
Coefficient of Friction of Roller Contact Bearing
Go Coefficient of friction for bearing = 2*Friction moment on bearing/(Bore Diameter of bearing*Load Acting on Bearing)
Friction Moment on Roller Contact Bearing
Go Friction moment on bearing = Coefficient of friction for bearing*Load Acting on Bearing*(Bore Diameter of bearing/2)
Bore Diameter of Bearing
Go Bore Diameter of bearing = 2*Friction moment on bearing/(Coefficient of friction for bearing*Load Acting on Bearing)
Reliability of Bearing
Go Reliability of Bearing = e^(-(Corresponding Life of Bearing/Constant a of Bearing)^Constant b of Bearing)
Train Wheel Diameter considering Bearing Life
Go Train Wheel Diameter = (1000/(pi*Rated Bearing Life))*Nominal Life in Millions of Kilometers
Nominal Life of Roller Contact Bearing
Go Nominal Life in Millions of Kilometers = Rated Bearing Life/(1000/(pi*Train Wheel Diameter))
Speed of Rotation of Bearing
Go Speed of bearing in rpm = Rated Bearing Life*(10^6)/(60*Rated Bearing Life in Hours)
Reliability of Bearing given Number of Bearings
Go Reliability of Bearing = Reliability of Bearing System^(1/Number of Bearings)
Reliability of Complete Bearing System
Go Reliability of Bearing System = Reliability of Bearing^Number of Bearings
Median Life of Roller Contact Bearing
Go Median Life of Bearing = 5*Rated Bearing Life

Reliability of Complete Bearing System Formula

Reliability of Bearing System = Reliability of Bearing^Number of Bearings
Rs = R^Nb

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 Complete Bearing System?

Reliability of Complete Bearing System calculator uses Reliability of Bearing System = Reliability of Bearing^Number of Bearings to calculate the Reliability of Bearing System, Reliability of Complete Bearing System 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 System is denoted by Rs symbol.

How to calculate Reliability of Complete Bearing System using this online calculator? To use this online calculator for Reliability of Complete Bearing System, enter Reliability of Bearing (R) & Number of Bearings (Nb) and hit the calculate button. Here is how the Reliability of Complete Bearing System calculation can be explained with given input values -> 0.599695 = 0.88^4.

FAQ

What is Reliability of Complete Bearing System?
Reliability of Complete Bearing System 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 Rs = R^Nb or Reliability of Bearing System = Reliability of Bearing^Number of Bearings. Reliability of bearing is the minimum percentage probability of 90% of a group of identical bearings system achieving their L10 design life expectancy & Number of Bearings Value is defined as the number of bearings in a bearing system.
How to calculate Reliability of Complete Bearing System?
Reliability of Complete Bearing System 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 System = Reliability of Bearing^Number of Bearings. To calculate Reliability of Complete Bearing System, you need Reliability of Bearing (R) & Number of Bearings (Nb). With our tool, you need to enter the respective value for Reliability of Bearing & Number of Bearings and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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