Nominal Life of Roller Contact Bearing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nominal Life in Millions of Kilometers = Rated Bearing Life/(1000/(pi*Train Wheel Diameter))
L10s = L10/(1000/(pi*D))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Nominal Life in Millions of Kilometers - Nominal Life in Millions of Kilometers is defined as the distance traveled by the wheel in million km.
Rated Bearing Life - Rated Bearing Life is defined as the total number of million revolutions the bearing rotates before failure.
Train Wheel Diameter - (Measured in Meter) - Train Wheel Diameter is the distance measured across the face of the wheel, from bead seat to bead seat.
STEP 1: Convert Input(s) to Base Unit
Rated Bearing Life: 144 --> No Conversion Required
Train Wheel Diameter: 880 Millimeter --> 0.88 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L10s = L10/(1000/(pi*D)) --> 144/(1000/(pi*0.88))
Evaluating ... ...
L10s = 0.398102621062899
STEP 3: Convert Result to Output's Unit
0.398102621062899 --> No Conversion Required
FINAL ANSWER
0.398102621062899 0.398103 <-- Nominal Life in Millions of Kilometers
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Tiruchirapalli
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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

Nominal Life of Roller Contact Bearing Formula

Nominal Life in Millions of Kilometers = Rated Bearing Life/(1000/(pi*Train Wheel Diameter))
L10s = L10/(1000/(pi*D))

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 Nominal Life of Roller Contact Bearing?

Nominal Life of Roller Contact Bearing calculator uses Nominal Life in Millions of Kilometers = Rated Bearing Life/(1000/(pi*Train Wheel Diameter)) to calculate the Nominal Life in Millions of Kilometers, Nominal Life of Roller Contact Bearing is essentially the length of time a bearing can be expected to perform as required in predefined operating conditions. It is based primarily on the probable number of rotations a bearing can complete before it starts showing symptoms of fatigue, such as spalling or cracking due to stress. Nominal Life in Millions of Kilometers is denoted by L10s symbol.

How to calculate Nominal Life of Roller Contact Bearing using this online calculator? To use this online calculator for Nominal Life of Roller Contact Bearing, enter Rated Bearing Life (L10) & Train Wheel Diameter (D) and hit the calculate button. Here is how the Nominal Life of Roller Contact Bearing calculation can be explained with given input values -> 0.398103 = 144/(1000/(pi*0.88)).

FAQ

What is Nominal Life of Roller Contact Bearing?
Nominal Life of Roller Contact Bearing is essentially the length of time a bearing can be expected to perform as required in predefined operating conditions. It is based primarily on the probable number of rotations a bearing can complete before it starts showing symptoms of fatigue, such as spalling or cracking due to stress and is represented as L10s = L10/(1000/(pi*D)) or Nominal Life in Millions of Kilometers = Rated Bearing Life/(1000/(pi*Train Wheel Diameter)). Rated Bearing Life is defined as the total number of million revolutions the bearing rotates before failure & Train Wheel Diameter is the distance measured across the face of the wheel, from bead seat to bead seat.
How to calculate Nominal Life of Roller Contact Bearing?
Nominal Life of Roller Contact Bearing is essentially the length of time a bearing can be expected to perform as required in predefined operating conditions. It is based primarily on the probable number of rotations a bearing can complete before it starts showing symptoms of fatigue, such as spalling or cracking due to stress is calculated using Nominal Life in Millions of Kilometers = Rated Bearing Life/(1000/(pi*Train Wheel Diameter)). To calculate Nominal Life of Roller Contact Bearing, you need Rated Bearing Life (L10) & Train Wheel Diameter (D). With our tool, you need to enter the respective value for Rated Bearing Life & Train Wheel Diameter 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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