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Length of Transition Curve given Time Rate Formula

GoLength given Angle of Super Elevation Formula

GoLength when Comfort Condition Holds Good for Railways Formula

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Transition Curve Length should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate. Check FAQs

L a = G \cdot \frac{V^{3}}{x \cdot g \cdot R Curve}

L_a - Transition Curve Length?G - Railway Gauge?V - Vehicle Velocity?x - Super Elevation Time Rate?g - Acceleration due to Gravity?R_Curve - Curve Radius?

Length of Transition Curve given Time Rate Example

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Here is how the Length of Transition Curve given Time Rate equation looks like with Values.

Here is how the Length of Transition Curve given Time Rate equation looks like with Units.

Here is how the Length of Transition Curve given Time Rate equation looks like.

108.8435 = 0.9 \cdot \frac{80^{3}}{60 \cdot 9.8 \cdot 200}

108.8435m = 0.9m \cdot \frac{{80km/h}^{3}}{60cm/s \cdot 9.8m/s² \cdot 200m}

108.8435 = 0.9 \cdot \frac{80^{3}}{60 \cdot 9.8 \cdot 200}

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Length of Transition Curve given Time Rate Solution

Follow our step by step solution on how to calculate Length of Transition Curve given Time Rate?

FIRST Step Consider the formula

L a = G \cdot \frac{V^{3}}{x \cdot g \cdot R Curve}

Next Step Substitute values of Variables

∴

L a = 0.9m \cdot \frac{{80km/h}^{3}}{60cm/s \cdot 9.8m/s² \cdot 200m}

Next Step Convert Units

∴

L a = 0.9m \cdot \frac{{80km/h}^{3}}{2.16km/h \cdot 9.8m/s² \cdot 200m}

Next Step Prepare to Evaluate

∴

L a = 0.9 \cdot \frac{80^{3}}{2.16 \cdot 9.8 \cdot 200}

Next Step Evaluate

∴

L a = 108.843537414966m

LAST Step Rounding Answer

∴

L a = 108.8435m

Length of Transition Curve given Time Rate Formula Elements

Variables

Transition Curve Length

Transition Curve Length should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate.

Symbol: L_a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Transition Curve Length

Railway Gauge

Railway Gauge is taken as the distance between the two rails and is represented by a gauge.

Symbol: G

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Railway Gauge

Vehicle Velocity

Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.

Symbol: V

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Vehicle Velocity

Super Elevation Time Rate

Super elevation Time Rate is the rate of time needed for the application of super elevation.

Symbol: x

Measurement: SpeedUnit: cm/s

Note: Value can be positive or negative.

Formulas to find Super Elevation Time Rate

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration due to Gravity

Curve Radius

Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Radius

Other Formulas to find Transition Curve Length

Go Length given Angle of Super Elevation

L a = {(g \cdot \tan (θ e))}^{1.5} \cdot \frac{\sqrt{R Curve}}{α}

Go Length when Comfort Condition Holds Good for Railways

L a = 4.52 \cdot \sqrt{R Curve}

Go Length when Comfort Condition Holds Good for Highways

L a = 12.80 \cdot \sqrt{R Curve}

Go Length of Transition Curve given Shift

L a = \sqrt{S \cdot 24 \cdot R Curve}

Other formulas in Length of Transition Curve category

Go Time Rate given Length of Transition Curve

x = G \cdot \frac{V^{3}}{L a \cdot g \cdot R Curve}

Go Rate of Change of Radial Acceleration

α = (\frac{V^{2}}{R Curve \cdot t})

Go Time Taken given Radial Acceleration

t = (\frac{V^{2}}{R Curve \cdot α})

Go Shift of Curve

S = \frac{{L a}^{2}}{24 \cdot R Curve}

How to Evaluate Length of Transition Curve given Time Rate?

Length of Transition Curve given Time Rate evaluator uses Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius) to evaluate the Transition Curve Length, The Length of Transition Curve given Time Rate formula is defined as full superelevation attained at the end of the transition curve and applied at a suitable rate. Transition Curve Length is denoted by L_a symbol.

How to evaluate Length of Transition Curve given Time Rate using this online evaluator? To use this online evaluator for Length of Transition Curve given Time Rate, enter Railway Gauge (G), Vehicle Velocity (V), Super Elevation Time Rate (x), Acceleration due to Gravity (g) & Curve Radius (R_Curve) and hit the calculate button.

FAQs on Length of Transition Curve given Time Rate

What is the formula to find Length of Transition Curve given Time Rate?

The formula of Length of Transition Curve given Time Rate is expressed as Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius). Here is an example- 145.1247 = 0.9*22.2222222222222^3/(0.6*9.8*200).

How to calculate Length of Transition Curve given Time Rate?

With Railway Gauge (G), Vehicle Velocity (V), Super Elevation Time Rate (x), Acceleration due to Gravity (g) & Curve Radius (R_Curve) we can find Length of Transition Curve given Time Rate using the formula - Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius).

What are the other ways to Calculate Transition Curve Length?

Here are the different ways to Calculate Transition Curve Length-

Transition Curve Length=(Acceleration due to Gravity*tan(Super Elevation Angle))^1.5*sqrt(Curve Radius)/Rate of Radial Acceleration
Transition Curve Length=4.52*sqrt(Curve Radius)
Transition Curve Length=12.80*sqrt(Curve Radius)

Can the Length of Transition Curve given Time Rate be negative?

Yes, the Length of Transition Curve given Time Rate, measured in Length can be negative.

Which unit is used to measure Length of Transition Curve given Time Rate?

Length of Transition Curve given Time Rate is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Transition Curve given Time Rate can be measured.

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: Unit

Length of Transition Curve given Time Rate Formula

​GoLength given Angle of Super Elevation Formula

​GoLength when Comfort Condition Holds Good for Railways Formula

Length of Transition Curve given Time Rate Example

Length of Transition Curve given Time Rate Solution

Length of Transition Curve given Time Rate Formula Elements

Other Formulas to find Transition Curve Length

Other formulas in Length of Transition Curve category

How to Evaluate Length of Transition Curve given Time Rate?

FAQs on Length of Transition Curve given Time Rate

Variable Name

GoLength given Angle of Super Elevation Formula

GoLength when Comfort Condition Holds Good for Railways Formula