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Length of Transition Curve given Super-Elevation Calculator

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✖Allowable Rate of Super Elevation means that greater the superelevation, more is the inconvenience to the slow traffic.ⓘ Allowable Rate of Super Elevation [N]			+10% -10%
✖Rate of Super Elevation is the transverse slope along the width of the road provided by rising the outer edge of the road with respect to the inner edge, throughout the length of the horizontal curve.ⓘ Rate of Super Elevation [e]			+10% -10%
✖Total Widening Needed at Horizontal Curve is the sum of total mechanical widening and total psychological widening.ⓘ Total Widening Needed at Horizontal Curve [W_e]			+10% -10%
✖Normal Width of Pavement is the width of pavement required for a vehicle in horizontal curve.ⓘ Normal Width of Pavement [W]			+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 Super-Elevation [L_c]

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Length of Transition Curve given Super-Elevation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement)
L_c = N*e*(W_e+W)
This formula uses 5 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.
Allowable Rate of Super Elevation - Allowable Rate of Super Elevation means that greater the superelevation, more is the inconvenience to the slow traffic.
Rate of Super Elevation - Rate of Super Elevation is the transverse slope along the width of the road provided by rising the outer edge of the road with respect to the inner edge, throughout the length of the horizontal curve.
Total Widening Needed at Horizontal Curve - (Measured in Meter) - Total Widening Needed at Horizontal Curve is the sum of total mechanical widening and total psychological widening.
Normal Width of Pavement - (Measured in Meter) - Normal Width of Pavement is the width of pavement required for a vehicle in horizontal curve.

STEP 1: Convert Input(s) to Base Unit

Allowable Rate of Super Elevation: 150 --> No Conversion Required
Rate of Super Elevation: 0.07 --> No Conversion Required
Total Widening Needed at Horizontal Curve: 0.878 Meter --> 0.878 Meter No Conversion Required
Normal Width of Pavement: 0.3 Meter --> 0.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = N*e*(W_e+W) --> 150*0.07*(0.878+0.3)

Evaluating ... ...

L_c = 12.369

STEP 3: Convert Result to Output's Unit

12.369 Meter --> No Conversion Required

FINAL ANSWER

12.369 Meter <-- Length of Transition Curve

(Calculation completed in 00.020 seconds)

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< Design of Transition Curves and Setback Distances Calculators

Length of Transition Curve given Super-Elevation

LaTeX Go 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 given Centrifugal Acceleration

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

Rate of Change of Centrifugal Acceleration

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

Rate of Change of Centrifugal Acceleration given Empirical Formula

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

Length of Transition Curve given Super-Elevation Formula

LaTeX Go

Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement)
L_c = N*e*(W_e+W)

What is the meaning of superelevation 1 in 15?

Thus a superelevation of 1 in 15 means that for a 15 m wide road. The other edge of the carriage way is raising above the inner edge of the curve by 1 metre.

How to Calculate Length of Transition Curve given Super-Elevation?

Length of Transition Curve given Super-Elevation calculator uses Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement) to calculate the Length of Transition Curve, Length of Transition Curve given Super-Elevation formula is defined as a method to determine the length of a transition curve in a road or railway design, considering the super-elevation and other factors, to ensure a smooth and safe transition between different sections of the curve. Length of Transition Curve is denoted by L_c symbol.

How to calculate Length of Transition Curve given Super-Elevation using this online calculator? To use this online calculator for Length of Transition Curve given Super-Elevation, enter Allowable Rate of Super Elevation (N), Rate of Super Elevation (e), Total Widening Needed at Horizontal Curve (W_e) & Normal Width of Pavement (W) and hit the calculate button. Here is how the Length of Transition Curve given Super-Elevation calculation can be explained with given input values -> 12.369 = 150*0.07*(0.878+0.3).

FAQ

What is Length of Transition Curve given Super-Elevation?

Length of Transition Curve given Super-Elevation formula is defined as a method to determine the length of a transition curve in a road or railway design, considering the super-elevation and other factors, to ensure a smooth and safe transition between different sections of the curve and is represented as L_c = N*e*(W_e+W) or Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement). Allowable Rate of Super Elevation means that greater the superelevation, more is the inconvenience to the slow traffic, Rate of Super Elevation is the transverse slope along the width of the road provided by rising the outer edge of the road with respect to the inner edge, throughout the length of the horizontal curve, Total Widening Needed at Horizontal Curve is the sum of total mechanical widening and total psychological widening & Normal Width of Pavement is the width of pavement required for a vehicle in horizontal curve.

How to calculate Length of Transition Curve given Super-Elevation?

Length of Transition Curve given Super-Elevation formula is defined as a method to determine the length of a transition curve in a road or railway design, considering the super-elevation and other factors, to ensure a smooth and safe transition between different sections of the curve is calculated using Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement). To calculate Length of Transition Curve given Super-Elevation, you need Allowable Rate of Super Elevation (N), Rate of Super Elevation (e), Total Widening Needed at Horizontal Curve (W_e) & Normal Width of Pavement (W). With our tool, you need to enter the respective value for Allowable Rate of Super Elevation, Rate of Super Elevation, Total Widening Needed at Horizontal Curve & Normal Width of Pavement 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 Allowable Rate of Super Elevation, Rate of Super Elevation, Total Widening Needed at Horizontal Curve & Normal Width of Pavement. 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 = (35*Velocity^2)/Radius for Transition Curve
Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve

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