Length of Transition Curve according to Rate of change of Centrifugal Acceleration 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%
✖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.ⓘ Radius of Curve [R_t]			+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 according to Rate of change of Centrifugal Acceleration [L_s]

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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)
L_s = v₁^3/(C*R_t)
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 - (Measured in Meter) - 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.

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: 300 Meter --> 300 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = v₁^3/(C*R_t) --> 17^3/(0.45*300)

Evaluating ... ...

L_s = 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)

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< Transition Curve Calculators

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LaTeX 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

LaTeX 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

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

Radius of Circular Curve given Length of Transition Curve

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

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

LaTeX Go

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

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

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). 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 (R_t). With our tool, you need to enter the respective value for Design Speed on Highways, Rate of Change of Centrifugal Acceleration & Radius of 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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