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Length of Transition Curve given Shift Formula

GoLength of Transition Curve given Time Rate Formula

GoLength given Angle of Super Elevation 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 = \sqrt{S \cdot 24 \cdot R Curve}

L_a - Transition Curve Length?S - Shift?R_Curve - Curve Radius?

Length of Transition Curve given Shift Example

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

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

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

120 = \sqrt{3 \cdot 24 \cdot 200}

120m = \sqrt{3m \cdot 24 \cdot 200m}

120 = \sqrt{3 \cdot 24 \cdot 200}

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Length of Transition Curve given Shift Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L a = \sqrt{3m \cdot 24 \cdot 200m}

Next Step Prepare to Evaluate

∴

L a = \sqrt{3 \cdot 24 \cdot 200}

LAST Step Evaluate

∴

L a = 120m

Length of Transition Curve given Shift Formula Elements

Variables

Functions

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

Shift

Shift is the distance by which the curve moves in order to accommodate the shape of transition curve.

Symbol: S

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Shift

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

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 to find Transition Curve Length

Go Length of Transition Curve given Time Rate

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

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}

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 Shift?

Length of Transition Curve given Shift evaluator uses Transition Curve Length = sqrt(Shift*24*Curve Radius) to evaluate the Transition Curve Length, The Length of Transition Curve given Shift formula is defined as the length of the transition curve in its cubic parabolic shape. Transition Curve Length is denoted by L_a symbol.

How to evaluate Length of Transition Curve given Shift using this online evaluator? To use this online evaluator for Length of Transition Curve given Shift, enter Shift (S) & Curve Radius (R_Curve) and hit the calculate button.

FAQs on Length of Transition Curve given Shift

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

The formula of Length of Transition Curve given Shift is expressed as Transition Curve Length = sqrt(Shift*24*Curve Radius). Here is an example- 120 = sqrt(3*24*200).

How to calculate Length of Transition Curve given Shift?

With Shift (S) & Curve Radius (R_Curve) we can find Length of Transition Curve given Shift using the formula - Transition Curve Length = sqrt(Shift*24*Curve Radius). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Transition Curve Length?

Here are the different ways to Calculate Transition Curve Length-

Transition Curve Length=Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius)
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)

Can the Length of Transition Curve given Shift be negative?

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

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

Length of Transition Curve given Shift 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 Shift can be measured.

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Length of Transition Curve given Shift Formula

​GoLength of Transition Curve given Time Rate Formula

​GoLength given Angle of Super Elevation Formula

Length of Transition Curve given Shift Example

Length of Transition Curve given Shift Solution

Length of Transition Curve given Shift 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 Shift?

FAQs on Length of Transition Curve given Shift

Variable Name

GoLength of Transition Curve given Time Rate Formula

GoLength given Angle of Super Elevation Formula