Radius of Circular Curve given Length of Transition Curve Calculator

✖Design Speed on Highways is the maximum limit of speed of vehicle that can be arrived in highways.ⓘ Design Speed on Highways [v₁]			+10% -10%
✖Rate of Change of Centrifugal Acceleration should be such that it will not cause discomfort to passengers.ⓘ Rate of Change of Centrifugal Acceleration [C]			+10% -10%
✖Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.ⓘ Length of Transition Curve [L_s]			+10% -10%

✖Radius of Curve for Road can be defined as the radius at which the spiral is joined.ⓘ Radius of Circular Curve given Length of Transition Curve [R_t]

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Radius of Circular Curve given Length of Transition Curve

Formula

`"R"_{"t"} = "v"_{"1"}^3/("C"*"L"_{"s"})`

Example

`"300.0214m"=("17m/s")^3/("0.45m/s³"*"36.39m")`

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Radius of Circular Curve given Length of Transition Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Curve for Road = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve)
R_t = v₁^3/(C*L_s)
This formula uses 4 Variables

Variables Used

Radius of Curve for Road - (Measured in Meter) - Radius of Curve for Road can be defined as the radius at which the spiral is joined.
Design Speed on Highways - (Measured in Meter per Second) - Design Speed on Highways is the maximum limit of speed of vehicle that can be arrived in highways.
Rate of Change of Centrifugal Acceleration - (Measured in Meter per Cubic Second) - Rate of Change of Centrifugal Acceleration should be such that it will not cause discomfort to passengers.
Length of Transition Curve - (Measured in Meter) - Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.

STEP 1: Convert Input(s) to Base Unit

Design Speed on Highways: 17 Meter per Second --> 17 Meter per Second No Conversion Required
Rate of Change of Centrifugal Acceleration: 0.45 Meter per Cubic Second --> 0.45 Meter per Cubic Second No Conversion Required
Length of Transition Curve: 36.39 Meter --> 36.39 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_t = v₁^3/(C*L_s) --> 17^3/(0.45*36.39)

Evaluating ... ...

R_t = 300.021373393179

STEP 3: Convert Result to Output's Unit

300.021373393179 Meter --> No Conversion Required

FINAL ANSWER

300.021373393179 ≈ 300.0214 Meter <-- Radius of Curve for Road

(Calculation completed in 00.004 seconds)

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< 6 Transition Curve Calculators

Length of Transition Curve according to Rate of Introduction of Superelevation

Go Transition Curve Length for Superelevation = ((Rate of Superelevation*Allowable Rate of Change of Superelevation)/2)*(Normal Pavement Width+Extra Widening of Pavement)

Length of Transition Curve if Pavement is Rotated about Inner Edge

Go Transition Curve Length = Rate of Superelevation*Allowable Rate of Change of Superelevation*(Normal Pavement Width+Extra Widening of Pavement)

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

Go Length of Transition Curve = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Radius of Curve for Road)

Radius of Circular Curve given Length of Transition Curve

Go Radius of Curve for Road = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve)

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

Go Transition Curve Length for Terrain = (2.7*(Design Speed on Highways)^2)/Radius of Curve for Road

Length of Transition Curve by Empirical Formula for Mountainous and Steep Terrains

Go Transition Curve Length for Slope = Design Speed on Highways^2/Radius of Curve for Road

Radius of Circular Curve given Length of Transition Curve Formula

Radius of Curve for Road = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve)
R_t = v₁^3/(C*L_s)

What is the need for rate of change of centrifugal acceleration?

At the tangent point the centrifugal acceleration is zero and infinity at radius R. Hence the centrifugal acceleration is distributed over transition curve.

Explanation of introduction of centrifugal acceleration

The centrifugal acceleration should be developed at such a low rate that it will not cause discomfort for passengers of a vehicle travelling at a design speed.

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

Radius of Circular Curve given Length of Transition Curve calculator uses Radius of Curve for Road = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve) to calculate the Radius of Curve for Road, 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 for Road is denoted by R_t symbol.

How to calculate Radius of Circular Curve given Length of Transition Curve using this online calculator? To use this online calculator 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. Here is how the Radius of Circular Curve given Length of Transition Curve calculation can be explained with given input values -> 350.041 = 17^3/(0.45*36.39).

FAQ

What is Radius of Circular Curve given Length of Transition 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 and is represented as R_t = v₁^3/(C*L_s) or Radius of Curve for Road = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve). Design Speed on Highways is the maximum limit of speed of vehicle that can be arrived in highways, Rate of Change of Centrifugal Acceleration should be such that it will not cause discomfort to passengers & Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.

How to calculate Radius of Circular Curve given Length of Transition 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 is calculated using Radius of Curve for Road = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Length of Transition Curve). To calculate Radius of Circular Curve given Length of Transition Curve, you need Design Speed on Highways (v₁), Rate of Change of Centrifugal Acceleration (C) & Length of Transition Curve (L_s). With our tool, you need to enter the respective value for Design Speed on Highways, Rate of Change of Centrifugal Acceleration & Length of Transition Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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