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Radius of Circular Curve given Length of Transition Curve Formula

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The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve. Check FAQs

R t = \frac{{v 1}^{3}}{C \cdot L s}

R_t - Radius of Curve?v₁ - Design Speed on Highways?C - Rate of Change of Centrifugal Acceleration?L_s - Length of Transition Curve?

Radius of Circular Curve given Length of Transition Curve Example

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

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

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

300.0214 = \frac{17^{3}}{0.45 \cdot 36.39}

300.0214m = \frac{{17m/s}^{3}}{0.45m/s³ \cdot 36.39m}

300.0214 = \frac{17^{3}}{0.45 \cdot 36.39}

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Radius of Circular Curve given Length of Transition Curve Solution

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

FIRST Step Consider the formula

R t = \frac{{v 1}^{3}}{C \cdot L s}

Next Step Substitute values of Variables

∴

R t = \frac{{17m/s}^{3}}{0.45m/s³ \cdot 36.39m}

Next Step Prepare to Evaluate

∴

R t = \frac{17^{3}}{0.45 \cdot 36.39}

Next Step Evaluate

∴

R t = 300.021373393179m

LAST Step Rounding Answer

∴

R t = 300.0214m

Radius of Circular Curve given Length of Transition Curve Formula Elements

Variables

Radius of Curve

The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.

Symbol: R_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curve

Design Speed on Highways

Design Speed on Highways is the maximum limit of speed of vehicle that can be arrived in highways.

Symbol: v₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Design Speed on Highways

Rate of Change of Centrifugal Acceleration

Rate of Change of Centrifugal Acceleration should be such that it will not cause discomfort to passengers.

Symbol: C

Measurement: JerkUnit: m/s³

Note: Value should be between 0.4 to 0.5.

Formulas to find Rate of Change of Centrifugal Acceleration

Length of Transition Curve

Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Transition Curve

Other formulas in Transition Curve category

Go Length of Transition Curve according to Rate of change of Centrifugal Acceleration

L s = \frac{{v 1}^{3}}{C \cdot R t}

Go Length of Transition Curve according to Rate of Introduction of Superelevation

L e = (\frac{e \cdot N Rate}{2}) \cdot (W + W ex)

Go Length of Transition Curve if Pavement is Rotated about Inner Edge

L t = e \cdot N Rate \cdot (W + W ex)

Go Length of Transition Curve by Empirical Formula for Plain and Rrolling Terrain

L Terrain = \frac{2.7 \cdot {(v 1)}^{2}}{R t}

How to Evaluate Radius of Circular Curve given Length of Transition Curve?

Radius of Circular Curve given Length of Transition Curve evaluator uses Radius of Curve = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve) to evaluate the Radius of Curve, The Radius of Circular Curve given Length of Transition Curve is provided formula is defined as ratio of design speed to the product of rate of change of centrifugal acceleration and length of transition curve. Radius of Curve is denoted by R_t symbol.

How to evaluate Radius of Circular Curve given Length of Transition Curve using this online evaluator? To use this online evaluator for Radius of Circular Curve given Length of Transition Curve, enter Design Speed on Highways (v₁), Rate of Change of Centrifugal Acceleration (C) & Length of Transition Curve (L_s) and hit the calculate button.

FAQs on Radius of Circular Curve given Length of Transition Curve

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

The formula of Radius of Circular Curve given Length of Transition Curve is expressed as Radius of Curve = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve). Here is an example- 350.041 = 17^3/(0.45*36.39).

How to calculate Radius of Circular Curve given Length of Transition Curve?

With Design Speed on Highways (v₁), Rate of Change of Centrifugal Acceleration (C) & Length of Transition Curve (L_s) we can find Radius of Circular Curve given Length of Transition Curve using the formula - Radius of Curve = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve).

Can the Radius of Circular Curve given Length of Transition Curve be negative?

No, the Radius of Circular Curve given Length of Transition Curve, measured in Length cannot be negative.

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

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

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Radius of Circular Curve given Length of Transition Curve Formula

Radius of Circular Curve given Length of Transition Curve Example

Radius of Circular Curve given Length of Transition Curve Solution

Radius of Circular Curve given Length of Transition Curve Formula Elements

Other formulas in Transition Curve category

How to Evaluate Radius of Circular Curve given Length of Transition Curve?

FAQs on Radius of Circular Curve given Length of Transition Curve

Variable Name