Mass per Wheel given Dynamic Load Calculator

✖Dynamic overload is load due to small diameter wheels with higher unsuspended masses.ⓘ Dynamic Overload [F]			+10% -10%
✖Static Load is defined as the stationary load used for easy calculation of stress and moments.ⓘ Static Load [F_a]			+10% -10%
✖Speed of Train is the rate at which the object covers a specific distance.ⓘ Speed of Train [V_t]			+10% -10%

✖Unsuspended Mass, also called unsprung mass per wheel is the mass on rail due to small diameter wheels used in modern trains.ⓘ Mass per Wheel given Dynamic Load [w]

⎘ Copy

👎

Formula

✖

Mass per Wheel given Dynamic Load

Formula

`"w" = (("F"-"F"_{"a"})/(0.1188*"V"_{"t"}))^2`

Example

`"39.32245tf"=(("311tf"-"200tf")/(0.1188*"149km/h"))^2`

Calculator

LaTeX

Reset

👍

Download Railway Track and Track Stresses Formulas PDF

Mass per Wheel given Dynamic Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2
w = ((F-F_a)/(0.1188*V_t))^2
This formula uses 4 Variables

Variables Used

Unsuspended Mass - (Measured in Ton-Force (Metric)) - Unsuspended Mass, also called unsprung mass per wheel is the mass on rail due to small diameter wheels used in modern trains.
Dynamic Overload - (Measured in Ton-Force (Metric)) - Dynamic overload is load due to small diameter wheels with higher unsuspended masses.
Static Load - (Measured in Ton-Force (Metric)) - Static Load is defined as the stationary load used for easy calculation of stress and moments.
Speed of Train - (Measured in Kilometer per Hour) - Speed of Train is the rate at which the object covers a specific distance.

STEP 1: Convert Input(s) to Base Unit

Dynamic Overload: 311 Ton-Force (Metric) --> 311 Ton-Force (Metric) No Conversion Required
Static Load: 200 Ton-Force (Metric) --> 200 Ton-Force (Metric) No Conversion Required
Speed of Train: 149 Kilometer per Hour --> 149 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = ((F-F_a)/(0.1188*V_t))^2 --> ((311-200)/(0.1188*149))^2

Evaluating ... ...

w = 39.3224473357364

STEP 3: Convert Result to Output's Unit

385621.478164972 Newton -->39.3224473357364 Ton-Force (Metric) (Check conversion here)

FINAL ANSWER

39.3224473357364 ≈ 39.32245 Ton-Force (Metric) <-- Unsuspended Mass

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Transportation Engineering » Railway Engineering » Railway Track and Track Stresses » Vertical Loads » Mass per Wheel given Dynamic Load

Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 7 Vertical Loads Calculators

Isolated Vertical Load given Moment

Go Vertical Load on Member = Bending Moment/(0.25*exp(-Distance from Load/Characteristic Length)*(sin(Distance from Load/Characteristic Length)-cos(Distance from Load/Characteristic Length)))

Bending Moment on Rail

Go Bending Moment = 0.25*Vertical Load on Member*exp(-Distance from Load/Characteristic Length)*(sin(Distance from Load/Characteristic Length)-cos(Distance from Load/Characteristic Length))

Static Wheel Load given Dynamic Load

Go Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass)

Dynamic Overload at Joints

Go Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass)

Mass per Wheel given Dynamic Load

Go Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2

Stress in Rail Head

Go Bending Stress = Bending Moment/Section Modulus in Compression

Stress in Rail Foot

Go Bending Stress = Bending Moment/Section Modulus in Tension

Mass per Wheel given Dynamic Load Formula

Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2
w = ((F-F_a)/(0.1188*V_t))^2

What happens if the wheels have unsuspended mass?

Due to modernization, Indian Railways is progressively using more and more number of diesel and electric engines. These engines have smaller diameter of wheels with higher unsprung (unsuspended) masses. This leads to dynamic overloading of joints resulting in the faster deterioration of the track near joints.

How to Calculate Mass per Wheel given Dynamic Load?

Mass per Wheel given Dynamic Load calculator uses Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2 to calculate the Unsuspended Mass, Mass per Wheel given Dynamic Load is defined as mass per modern wheels for trains with small diameters. These causes dynamic overloads on joints of rails. Unsuspended Mass is denoted by w symbol.

How to calculate Mass per Wheel given Dynamic Load using this online calculator? To use this online calculator for Mass per Wheel given Dynamic Load, enter Dynamic Overload (F), Static Load (F_a) & Speed of Train (V_t) and hit the calculate button. Here is how the Mass per Wheel given Dynamic Load calculation can be explained with given input values -> 0.00401 = ((3049868.14999979-1961329.99999986)/(0.1188*41.3888888888889))^2.

FAQ

What is Mass per Wheel given Dynamic Load?

Mass per Wheel given Dynamic Load is defined as mass per modern wheels for trains with small diameters. These causes dynamic overloads on joints of rails and is represented as w = ((F-F_a)/(0.1188*V_t))^2 or Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2. Dynamic overload is load due to small diameter wheels with higher unsuspended masses, Static Load is defined as the stationary load used for easy calculation of stress and moments & Speed of Train is the rate at which the object covers a specific distance.

How to calculate Mass per Wheel given Dynamic Load?

Mass per Wheel given Dynamic Load is defined as mass per modern wheels for trains with small diameters. These causes dynamic overloads on joints of rails is calculated using Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2. To calculate Mass per Wheel given Dynamic Load, you need Dynamic Overload (F), Static Load (F_a) & Speed of Train (V_t). With our tool, you need to enter the respective value for Dynamic Overload, Static Load & Speed of Train and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search