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Dynamic Overload at Joints Formula

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

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

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

Dynamic Overload at Joints Example

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Here is how the Dynamic Overload at Joints equation looks like with Values.

Here is how the Dynamic Overload at Joints equation looks like with Units.

Here is how the Dynamic Overload at Joints equation looks like.

311.9522 = 200 + 0.1188 \cdot 149 \cdot \sqrt{40}

311.9522tf = 200tf + 0.1188 \cdot 149km/h \cdot \sqrt{40tf}

311.9522 = 200 + 0.1188 \cdot 149 \cdot \sqrt{40}

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Dynamic Overload at Joints Solution

Follow our step by step solution on how to calculate Dynamic Overload at Joints?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F = 200tf + 0.1188 \cdot 149km/h \cdot \sqrt{40tf}

Next Step Prepare to Evaluate

∴

F = 200 + 0.1188 \cdot 149 \cdot \sqrt{40}

Next Step Evaluate

∴

F = 3059206.2248899N

Next Step Convert to Output's Unit

∴

F = 311.952218636345tf

LAST Step Rounding Answer

∴

F = 311.9522tf

Dynamic Overload at Joints Formula Elements

Variables

Functions

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

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)

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 Dynamic Overload at Joints?

Dynamic Overload at Joints evaluator uses Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass) to evaluate the Dynamic Overload, The Dynamic Overload at Joints is the load over the rail due to the modern wheels which are small in diameter and the mass of wheel are unsuspended. Dynamic Overload is denoted by F symbol.

How to evaluate Dynamic Overload at Joints using this online evaluator? To use this online evaluator for Dynamic Overload at Joints, enter Static Load (F_a), Speed of Train (V_t) & Unsuspended Mass (w) and hit the calculate button.

FAQs on Dynamic Overload at Joints

What is the formula to find Dynamic Overload at Joints?

The formula of Dynamic Overload at Joints is expressed as Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass). Here is an example- 0.03181 = 1961329.99999986+0.1188*41.3888888888889*sqrt(392265.999999972).

How to calculate Dynamic Overload at Joints?

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

Can the Dynamic Overload at Joints be negative?

Yes, the Dynamic Overload at Joints, measured in Force can be negative.

Which unit is used to measure Dynamic Overload at Joints?

Dynamic Overload at Joints is usually measured using the Ton-Force (Metric)[tf] for Force. Newton[tf], Exanewton[tf], Meganewton[tf] are the few other units in which Dynamic Overload at Joints can be measured.

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Dynamic Overload at Joints Formula

Dynamic Overload at Joints Example

Dynamic Overload at Joints Solution

Dynamic Overload at Joints Formula Elements

Other formulas in Vertical Loads category

How to Evaluate Dynamic Overload at Joints?

FAQs on Dynamic Overload at Joints

Variable Name