Static Wheel Load given Dynamic Load Calculator

✖Dynamic overload is load due to small diameter wheels with higher unsuspended masses.ⓘ Dynamic Overload [F]			+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.ⓘ Unsuspended Mass [w]			+10% -10%

✖Static Load is defined as the stationary load used for easy calculation of stress and moments.ⓘ Static Wheel Load given Dynamic Load [F_a]

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Formula

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Static Wheel Load given Dynamic Load

Formula

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

Example

`"199.0478tf"="311tf"-0.1188*"149km/h"*sqrt("40tf")`

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Static Wheel Load given Dynamic Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass)
F_a = F-0.1188*V_t*sqrt(w)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Dynamic Overload: 311 Ton-Force (Metric) --> 311 Ton-Force (Metric) No Conversion Required
Speed of Train: 149 Kilometer per Hour --> 149 Kilometer per Hour No Conversion Required
Unsuspended Mass: 40 Ton-Force (Metric) --> 40 Ton-Force (Metric) No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_a = F-0.1188*V_t*sqrt(w) --> 311-0.1188*149*sqrt(40)

Evaluating ... ...

F_a = 199.047781363655

STEP 3: Convert Result to Output's Unit

1951991.92510975 Newton -->199.047781363655 Ton-Force (Metric) (Check conversion here)

FINAL ANSWER

199.047781363655 ≈ 199.0478 Ton-Force (Metric) <-- Static Load

(Calculation completed in 00.004 seconds)

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< 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

Static Wheel Load given Dynamic Load Formula

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

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 Static Wheel Load given Dynamic Load?

Static Wheel Load given Dynamic Load calculator uses Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass) to calculate the Static Load, Static Wheel Load given Dynamic Load defines load over rails without considering dynamic effect or impact effect of loads that might be actually exerted on rails. Static Load is denoted by F_a symbol.

How to calculate Static Wheel Load given Dynamic Load using this online calculator? To use this online calculator for Static Wheel Load given Dynamic Load, enter Dynamic Overload (F), Speed of Train (V_t) & Unsuspended Mass (w) and hit the calculate button. Here is how the Static Wheel Load given Dynamic Load calculation can be explained with given input values -> 0.020297 = 3049868.14999979-0.1188*41.3888888888889*sqrt(392265.999999972).

FAQ

What is Static Wheel Load given Dynamic Load?

Static Wheel Load given Dynamic Load defines load over rails without considering dynamic effect or impact effect of loads that might be actually exerted on rails and is represented as F_a = F-0.1188*V_t*sqrt(w) or Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass). Dynamic overload is load due to small diameter wheels with higher unsuspended masses, Speed of Train is the rate at which the object covers a specific distance & Unsuspended Mass, also called unsprung mass per wheel is the mass on rail due to small diameter wheels used in modern trains.

How to calculate Static Wheel Load given Dynamic Load?

Static Wheel Load given Dynamic Load defines load over rails without considering dynamic effect or impact effect of loads that might be actually exerted on rails is calculated using Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass). To calculate Static Wheel Load given Dynamic Load, you need Dynamic Overload (F), Speed of Train (V_t) & Unsuspended Mass (w). With our tool, you need to enter the respective value for Dynamic Overload, Speed of Train & Unsuspended Mass 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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