Length of Transition Curve for Steep and Hilly Terrains 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%
✖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 for Steep and Hilly Terrains [L_c]

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Formula

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Length of Transition Curve for Steep and Hilly Terrains

Formula

`"L"_{"c"} = (12.96*"v"_{"vehicle"}^2)/"R"_{"trans"}`

Example

`"34.4275m"=(12.96*("28.23m/s")^2)/"300m"`

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Length of Transition Curve for Steep and Hilly Terrains Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve
L_c = (12.96*v_vehicle^2)/R_trans
This formula uses 3 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.
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
Radius for Transition Curve: 300 Meter --> 300 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = (12.96*v_vehicle^2)/R_trans --> (12.96*28.23^2)/300

Evaluating ... ...

L_c = 34.42750128

STEP 3: Convert Result to Output's Unit

34.42750128 Meter --> No Conversion Required

FINAL ANSWER

34.42750128 ≈ 34.4275 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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National Institute Of Technology (NIT), Hamirpur

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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 for Steep and Hilly Terrains Formula

Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve
L_c = (12.96*v_vehicle^2)/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 for Steep and Hilly Terrains?

Length of Transition Curve for Steep and Hilly Terrains calculator uses Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve to calculate the Length of Transition Curve, Length of Transition Curve for Steep and Hilly Terrains formula is defined as the length of the horizontal curve in case of Steep and Hilly Terrain. Length of Transition Curve is denoted by L_c symbol.

How to calculate Length of Transition Curve for Steep and Hilly Terrains using this online calculator? To use this online calculator for Length of Transition Curve for Steep and Hilly Terrains, enter Velocity (v_vehicle) & Radius for Transition Curve (R_trans) and hit the calculate button. Here is how the Length of Transition Curve for Steep and Hilly Terrains calculation can be explained with given input values -> 34.4275 = (12.96*28.23^2)/300.

FAQ

What is Length of Transition Curve for Steep and Hilly Terrains?

Length of Transition Curve for Steep and Hilly Terrains formula is defined as the length of the horizontal curve in case of Steep and Hilly Terrain and is represented as L_c = (12.96*v_vehicle^2)/R_trans or Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve. Velocity is the rate of change of distance of the vehicle with respect to time & Radius for Transition Curve is the radius at the point of transition curve of roadways.

How to calculate Length of Transition Curve for Steep and Hilly Terrains?

Length of Transition Curve for Steep and Hilly Terrains formula is defined as the length of the horizontal curve in case of Steep and Hilly Terrain is calculated using Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve. To calculate Length of Transition Curve for Steep and Hilly Terrains, you need Velocity (v_vehicle) & Radius for Transition Curve (R_trans). With our tool, you need to enter the respective value for Velocity & 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 & Radius for Transition Curve. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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