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Mass per Wheel given Dynamic Load Formula

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Unsuspended Mass, also called unsprung mass per wheel is the mass on rail due to small diameter wheels used in modern trains. Check FAQs

w = {(\frac{F - F a}{0.1188 \cdot V t})}^{2}

w - Unsuspended Mass?F - Dynamic Overload?F_a - Static Load?V_t - Speed of Train?

Mass per Wheel given Dynamic Load Example

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Here is how the Mass per Wheel given Dynamic Load equation looks like with Values.

Here is how the Mass per Wheel given Dynamic Load equation looks like with Units.

Here is how the Mass per Wheel given Dynamic Load equation looks like.

39.3224 = {(\frac{311 - 200}{0.1188 \cdot 149})}^{2}

39.3224tf = {(\frac{311tf - 200tf}{0.1188 \cdot 149km/h})}^{2}

39.3224 = {(\frac{311 - 200}{0.1188 \cdot 149})}^{2}

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Mass per Wheel given Dynamic Load Solution

Follow our step by step solution on how to calculate Mass per Wheel given Dynamic Load?

FIRST Step Consider the formula

w = {(\frac{F - F a}{0.1188 \cdot V t})}^{2}

Next Step Substitute values of Variables

∴

w = {(\frac{311tf - 200tf}{0.1188 \cdot 149km/h})}^{2}

Next Step Prepare to Evaluate

∴

w = {(\frac{311 - 200}{0.1188 \cdot 149})}^{2}

Next Step Evaluate

∴

w = 385621.478164972N

Next Step Convert to Output's Unit

∴

w = 39.3224473357364tf

LAST Step Rounding Answer

∴

w = 39.3224tf

Mass per Wheel given Dynamic Load Formula Elements

Variables

Unsuspended Mass

Unsuspended Mass, also called unsprung mass per wheel is the mass on rail due to small diameter wheels used in modern trains.

Symbol: w

Measurement: ForceUnit: tf

Note: Value can be positive or negative.

Formulas to find Unsuspended Mass

Dynamic Overload

Dynamic overload is load due to small diameter wheels with higher unsuspended masses.

Symbol: F

Measurement: ForceUnit: tf

Note: Value can be positive or negative.

Formulas to find Dynamic Overload

Static Load

Static Load is defined as the stationary load used for easy calculation of stress and moments.

Symbol: F_a

Measurement: ForceUnit: tf

Note: Value can be positive or negative.

Formulas to find Static Load

Speed of Train

Speed of Train is the rate at which the object covers a specific distance.

Symbol: V_t

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Speed of Train

Other formulas in Vertical Loads category

Go Bending Moment on Rail

M = 0.25 \cdot L Vertical \cdot \exp (- \frac{x}{l}) \cdot (\sin (\frac{x}{l}) - \cos (\frac{x}{l}))

Go Isolated Vertical Load given Moment

L Vertical = \frac{M}{0.25 \cdot \exp (- \frac{x}{l}) \cdot (\sin (\frac{x}{l}) - \cos (\frac{x}{l}))}

Go Stress in Rail Head

S h = \frac{M}{Z c}

Go Stress in Rail Foot

S h = \frac{M}{Z t}

How to Evaluate Mass per Wheel given Dynamic Load?

Mass per Wheel given Dynamic Load evaluator uses Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2 to evaluate 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 evaluate Mass per Wheel given Dynamic Load using this online evaluator? To use this online evaluator 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.

FAQs on Mass per Wheel given Dynamic Load

What is the formula to find Mass per Wheel given Dynamic Load?

The formula of Mass per Wheel given Dynamic Load is expressed as Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2. Here is an example- 0.00401 = ((3049868.14999979-1961329.99999986)/(0.1188*41.3888888888889))^2.

How to calculate Mass per Wheel given Dynamic Load?

With Dynamic Overload (F), Static Load (F_a) & Speed of Train (V_t) we can find Mass per Wheel given Dynamic Load using the formula - Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2.

Can the Mass per Wheel given Dynamic Load be negative?

Yes, the Mass per Wheel given Dynamic Load, measured in Force can be negative.

Which unit is used to measure Mass per Wheel given Dynamic Load?

Mass per Wheel given Dynamic Load is usually measured using the Ton-Force (Metric)[tf] for Force. Newton[tf], Exanewton[tf], Meganewton[tf] are the few other units in which Mass per Wheel given Dynamic Load can be measured.

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Mass per Wheel given Dynamic Load Formula

Mass per Wheel given Dynamic Load Example

Mass per Wheel given Dynamic Load Solution

Mass per Wheel given Dynamic Load Formula Elements

Other formulas in Vertical Loads category

How to Evaluate Mass per Wheel given Dynamic Load?

FAQs on Mass per Wheel given Dynamic Load

Variable Name