Train Wheel Diameter considering Bearing Life Calculator

✖Rated Bearing Life is defined as the total number of million revolutions the bearing rotates before failure.ⓘ Rated Bearing Life [L₁₀]			+10% -10%
✖Nominal Life in Millions of Kilometers is defined as the distance traveled by the wheel in million km.ⓘ Nominal Life in Millions of Kilometers [L_10s]			+10% -10%

✖Train Wheel Diameter is the distance measured across the face of the wheel, from bead seat to bead seat.ⓘ Train Wheel Diameter considering Bearing Life [D]

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Formula

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Train Wheel Diameter considering Bearing Life

Formula

`"D" = (1000/(pi*"L"_{"10"}))*"L"_{"10s"}`

Example

`"884.1941mm"=(1000/(pi*"144"))*"0.4"`

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Train Wheel Diameter considering Bearing Life Solution

STEP 0: Pre-Calculation Summary

Formula Used

Train Wheel Diameter = (1000/(pi*Rated Bearing Life))*Nominal Life in Millions of Kilometers
D = (1000/(pi*L₁₀))*L_10s
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Rated Bearing Life - Rated Bearing Life is defined as the total number of million revolutions the bearing rotates before failure.
Nominal Life in Millions of Kilometers - Nominal Life in Millions of Kilometers is defined as the distance traveled by the wheel in million km.

STEP 1: Convert Input(s) to Base Unit

Rated Bearing Life: 144 --> No Conversion Required
Nominal Life in Millions of Kilometers: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (1000/(pi*L₁₀))*L_10s --> (1000/(pi*144))*0.4

Evaluating ... ...

D = 0.884194128288307

STEP 3: Convert Result to Output's Unit

0.884194128288307 Meter -->884.194128288307 Millimeter (Check conversion here)

FINAL ANSWER

884.194128288307 ≈ 884.1941 Millimeter <-- Train Wheel Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Rolling Contact Bearing » Rolling Contact Bearing Configuration » Train Wheel Diameter considering Bearing Life

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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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

Train Wheel Diameter considering Bearing Life Formula

Train Wheel Diameter = (1000/(pi*Rated Bearing Life))*Nominal Life in Millions of Kilometers
D = (1000/(pi*L₁₀))*L_10s

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 Train Wheel Diameter considering Bearing Life?

Train Wheel Diameter considering Bearing Life calculator uses Train Wheel Diameter = (1000/(pi*Rated Bearing Life))*Nominal Life in Millions of Kilometers to calculate the Train Wheel Diameter, Train Wheel Diameter considering Bearing Life is the required diameter of the wheel of a train. Train Wheel Diameter is denoted by D symbol.

How to calculate Train Wheel Diameter considering Bearing Life using this online calculator? To use this online calculator for Train Wheel Diameter considering Bearing Life, enter Rated Bearing Life (L₁₀) & Nominal Life in Millions of Kilometers (L_10s) and hit the calculate button. Here is how the Train Wheel Diameter considering Bearing Life calculation can be explained with given input values -> 884194.1 = (1000/(pi*144))*0.4.

FAQ

What is Train Wheel Diameter considering Bearing Life?

Train Wheel Diameter considering Bearing Life is the required diameter of the wheel of a train and is represented as D = (1000/(pi*L₁₀))*L_10s or Train Wheel Diameter = (1000/(pi*Rated Bearing Life))*Nominal Life in Millions of Kilometers. Rated Bearing Life is defined as the total number of million revolutions the bearing rotates before failure & Nominal Life in Millions of Kilometers is defined as the distance traveled by the wheel in million km.

How to calculate Train Wheel Diameter considering Bearing Life?

Train Wheel Diameter considering Bearing Life is the required diameter of the wheel of a train is calculated using Train Wheel Diameter = (1000/(pi*Rated Bearing Life))*Nominal Life in Millions of Kilometers. To calculate Train Wheel Diameter considering Bearing Life, you need Rated Bearing Life (L₁₀) & Nominal Life in Millions of Kilometers (L_10s). With our tool, you need to enter the respective value for Rated Bearing Life & Nominal Life in Millions of Kilometers 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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