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Static Wheel Load given Dynamic Load Formula

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

F a = F - 0.1188 \cdot V t \cdot \sqrt{w}

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

Static Wheel Load given Dynamic Load Example

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

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

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

199.0478 = 311 - 0.1188 \cdot 149 \cdot \sqrt{40}

199.0478tf = 311tf - 0.1188 \cdot 149km/h \cdot \sqrt{40tf}

199.0478 = 311 - 0.1188 \cdot 149 \cdot \sqrt{40}

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Static Wheel Load given Dynamic Load Solution

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

FIRST Step Consider the formula

F a = F - 0.1188 \cdot V t \cdot \sqrt{w}

Next Step Substitute values of Variables

∴

F a = 311tf - 0.1188 \cdot 149km/h \cdot \sqrt{40tf}

Next Step Prepare to Evaluate

∴

F a = 311 - 0.1188 \cdot 149 \cdot \sqrt{40}

Next Step Evaluate

∴

F a = 1951991.92510975N

Next Step Convert to Output's Unit

∴

F a = 199.047781363655tf

LAST Step Rounding Answer

∴

F a = 199.0478tf

Static Wheel Load given Dynamic Load Formula Elements

Variables

Functions

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

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

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

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

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.

Syntax: sqrt(Number)

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Go Isolated Vertical Load given Moment

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

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How to Evaluate Static Wheel Load given Dynamic Load?

Static Wheel Load given Dynamic Load evaluator uses Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass) to evaluate 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 evaluate Static Wheel Load given Dynamic Load using this online evaluator? To use this online evaluator for Static Wheel Load given Dynamic Load, enter Dynamic Overload (F), Speed of Train (V_t) & Unsuspended Mass (w) and hit the calculate button.

FAQs on Static Wheel Load given Dynamic Load

What is the formula to find Static Wheel Load given Dynamic Load?

The formula of Static Wheel Load given Dynamic Load is expressed as Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass). Here is an example- 0.020297 = 3049868.14999979-0.1188*41.3888888888889*sqrt(392265.999999972).

How to calculate Static Wheel Load given Dynamic Load?

With Dynamic Overload (F), Speed of Train (V_t) & Unsuspended Mass (w) we can find Static Wheel Load given Dynamic Load using the formula - Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass). This formula also uses Square Root (sqrt) function(s).

Can the Static Wheel Load given Dynamic Load be negative?

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

Which unit is used to measure Static Wheel Load given Dynamic Load?

Static Wheel Load 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 Static Wheel Load given Dynamic Load can be measured.

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Static Wheel Load given Dynamic Load Formula

Static Wheel Load given Dynamic Load Example

Static Wheel Load given Dynamic Load Solution

Static Wheel Load given Dynamic Load Formula Elements

Other formulas in Vertical Loads category

How to Evaluate Static Wheel Load given Dynamic Load?

FAQs on Static Wheel Load given Dynamic Load

Variable Name