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

STEP 0: Pre-Calculation Summary
Formula Used
Length of Transition Curve = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Radius of Curve for Road)
Ls = v1^3/(C*Rt)
This formula uses 4 Variables
Variables Used
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.
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.
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.
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
Radius of Curve for Road: 300 Meter --> 300 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ls = v1^3/(C*Rt) --> 17^3/(0.45*300)
Evaluating ... ...
Ls = 36.3925925925926
STEP 3: Convert Result to Output's Unit
36.3925925925926 Meter --> No Conversion Required
FINAL ANSWER
36.3925925925926 36.39259 Meter <-- Length of Transition Curve
(Calculation completed in 00.004 seconds)

Credits

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Gautam Buddha University (GBU), Greater Noida
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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

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

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

Why is the rate of change of centrifugal acceleration introduced?

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

Length of Transition Curve according to Rate of change of Centrifugal Acceleration calculator uses Length of Transition Curve = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Radius of Curve for Road) to calculate the Length of Transition Curve, The Length of Transition Curve according to Rate of change of Centrifugal Acceleration is defined as ratio of design speed to the product of rate of change of centrifugal acceleration and radius of circular path. Length of Transition Curve is denoted by Ls symbol.

How to calculate Length of Transition Curve according to Rate of change of Centrifugal Acceleration using this online calculator? To use this online calculator for Length of Transition Curve according to Rate of change of Centrifugal Acceleration, enter Design Speed on Highways (v1), Rate of Change of Centrifugal Acceleration (C) & Radius of Curve for Road (Rt) and hit the calculate button. Here is how the Length of Transition Curve according to Rate of change of Centrifugal Acceleration calculation can be explained with given input values -> 36.39259 = 17^3/(0.45*300).

FAQ

What is Length of Transition Curve according to Rate of change of Centrifugal Acceleration?
The Length of Transition Curve according to Rate of change of Centrifugal Acceleration is defined as ratio of design speed to the product of rate of change of centrifugal acceleration and radius of circular path and is represented as Ls = v1^3/(C*Rt) or Length of Transition Curve = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Radius of Curve for Road). 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 & Radius of Curve for Road can be defined as the radius at which the spiral is joined.
How to calculate Length of Transition Curve according to Rate of change of Centrifugal Acceleration?
The Length of Transition Curve according to Rate of change of Centrifugal Acceleration is defined as ratio of design speed to the product of rate of change of centrifugal acceleration and radius of circular path is calculated using Length of Transition Curve = Design Speed on Highways^3/(Rate of Change of Centrifugal Acceleration*Radius of Curve for Road). To calculate Length of Transition Curve according to Rate of change of Centrifugal Acceleration, you need Design Speed on Highways (v1), Rate of Change of Centrifugal Acceleration (C) & Radius of Curve for Road (Rt). With our tool, you need to enter the respective value for Design Speed on Highways, Rate of Change of Centrifugal Acceleration & Radius of Curve for Road 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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