Length of Transition Curve given Centrifugal Acceleration Calculator

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Design of Transition Curves and Setback Distances

✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity [v_vehicle]			+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%
✖Radius for Transition Curve is the radius at the point of transition curve of roadways.ⓘ Radius for Transition Curve [R_trans]			+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 given Centrifugal Acceleration [L_c]

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Formula

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Length of Transition Curve given Centrifugal Acceleration

Formula

`"L"_{"c"} = "v"_{"vehicle"}^3/("C"*"R"_{"trans"})`

Example

`"166.6475m"=("28.23m/s")^3/("0.45m/s³"*"300m")`

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Length of Transition Curve given Centrifugal Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve)
L_c = v_vehicle^3/(C*R_trans)
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.
Velocity - (Measured in Meter per Second) - Velocity is the rate of change of distance of the vehicle with respect to time.
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 for Transition Curve - (Measured in Meter) - Radius for Transition Curve is the radius at the point of transition curve of roadways.

STEP 1: Convert Input(s) to Base Unit

Velocity: 28.23 Meter per Second --> 28.23 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 for Transition Curve: 300 Meter --> 300 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = v_vehicle^3/(C*R_trans) --> 28.23^3/(0.45*300)

Evaluating ... ...

L_c = 166.6475242

STEP 3: Convert Result to Output's Unit

166.6475242 Meter --> No Conversion Required

FINAL ANSWER

166.6475242 ≈ 166.6475 Meter <-- Length of Transition Curve

(Calculation completed in 00.004 seconds)

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Created by Avayjit Das

University of Engineering and Management,Kolkata (UEMK), Kolkata

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< 13 Design of Transition Curves and Setback Distances Calculators

Setback Distance for Multi Lane Road where Ls is greater than Lc

Go Setback Distance = Radius for Transition Curve-(Radius for Transition Curve-Center Distance between Road and Inner Lane)*cos(Angle subtended by Radius of Curve for Single Lane/2)+((Sight Distance-Length of Transition Curve)/2)*sin(Angle subtended by Radius of Curve for Single Lane/2)

Setback Distance for Single Lane Road where Ls is greater than Lc

Go Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2)+((Sight Distance-Length of Transition Curve)/2)*sin(Angle subtended by Radius of Curve for Single Lane/2)

Angle Subtended by Radius of Curve for Multi Lane Road

Go Angle subtended by Radius of Curve for Multi Lane = (180*Length of Transition Curve)/(pi*(Radius for Transition Curve-Center Distance between Road and Inner Lane))

Length of Transition Curve given Super-Elevation

Go Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement)

Setback Distance where Ls is Smaller than Lc

Go Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2)

Curve Resistance

Go Curve Resistance = Tractive Force-Tractive Force*cos(Angle subtended by Radius of Curve for Single Lane)

Length of Transition Curve given Centrifugal Acceleration

Go Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve)

Rate of Change of Centrifugal Acceleration

Go Rate of Change of Centrifugal Acceleration = Velocity^3/(Length of Transition Curve*Radius for Transition Curve)

Angle Subtended by Radius of Curve for Single Lane Road

Go Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve)

Length of Transition Curve for Steep and Hilly Terrains

Go Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve

Length of Transition for Curve Plain and Rolling Terrain

Go Length of Transition Curve = (35*Velocity^2)/Radius for Transition Curve

Shift given Length of Transition Curve

Go Shift = Length of Transition Curve^2/(24*Radius of Curve)

Rate of Change of Centrifugal Acceleration given Empirical Formula

Go Rate of Change of Centrifugal Acceleration = 80/(75+3.6*Velocity)

Length of Transition Curve given Centrifugal Acceleration Formula

Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve)
L_c = v_vehicle^3/(C*R_trans)

What is range of rate of change of centrifugal acceleration?

The minimum value of change of centrifugal acceleration is 0.5 m/sec3 and the maximum value is 0.8m/sec3

How to Calculate Length of Transition Curve given Centrifugal Acceleration?

Length of Transition Curve given Centrifugal Acceleration calculator uses Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve) to calculate the Length of Transition Curve, Length of Transition Curve given 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_c symbol.

How to calculate Length of Transition Curve given Centrifugal Acceleration using this online calculator? To use this online calculator for Length of Transition Curve given Centrifugal Acceleration, enter Velocity (v_vehicle), Rate of Change of Centrifugal Acceleration (C) & Radius for Transition Curve (R_trans) and hit the calculate button. Here is how the Length of Transition Curve given Centrifugal Acceleration calculation can be explained with given input values -> 166.6475 = 28.23^3/(0.45*300).

FAQ

What is Length of Transition Curve given Centrifugal Acceleration?

Length of Transition Curve given 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_c = v_vehicle^3/(C*R_trans) or Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve). Velocity is the rate of change of distance of the vehicle with respect to time, Rate of Change of Centrifugal Acceleration should be such that it will not cause discomfort to passengers & Radius for Transition Curve is the radius at the point of transition curve of roadways.

How to calculate Length of Transition Curve given Centrifugal Acceleration?

Length of Transition Curve given 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 = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve). To calculate Length of Transition Curve given Centrifugal Acceleration, you need Velocity (v_vehicle), Rate of Change of Centrifugal Acceleration (C) & Radius for Transition Curve (R_trans). With our tool, you need to enter the respective value for Velocity, Rate of Change of Centrifugal Acceleration & Radius for Transition Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Transition Curve?

In this formula, Length of Transition Curve uses Velocity, Rate of Change of Centrifugal Acceleration & Radius for Transition Curve. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement)
Length of Transition Curve = (35*Velocity^2)/Radius for Transition Curve
Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve

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