Length of Transition Curve according to Rate of Introduction of Superelevation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transition Curve Length for Superelevation = ((Rate of Superelevation*Allowable Rate of Change of Superelevation)/2)*(Normal Pavement Width+Extra Widening of Pavement)
Le = ((e*NRate)/2)*(W+Wex)
This formula uses 5 Variables
Variables Used
Transition Curve Length for Superelevation - (Measured in Meter) - Transition Curve Length for Superelevation should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate.
Rate of Superelevation - Rate of Superelevation is degree of banking imposed on a horizontal curve to safely counterbalance the centrifugal force of a vehicle on the curve.
Allowable Rate of Change of Superelevation - Allowable Rate of Change of Superelevation is introduced in the length of the transition curve which is 1 in N.
Normal Pavement Width - (Measured in Meter) - Normal Pavement Width is the actual paved surface measured between faces of curbs of streets or from edge to edge of alley road surface.
Extra Widening of Pavement - (Measured in Meter) - Extra Widening of Pavement is the extra width of carriageway that is required on a curved section of a road over and above that is required on a straight alignment.
STEP 1: Convert Input(s) to Base Unit
Rate of Superelevation: 0.07 --> No Conversion Required
Allowable Rate of Change of Superelevation: 150.1 --> No Conversion Required
Normal Pavement Width: 7 Meter --> 7 Meter No Conversion Required
Extra Widening of Pavement: 100 Meter --> 100 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Le = ((e*NRate)/2)*(W+Wex) --> ((0.07*150.1)/2)*(7+100)
Evaluating ... ...
Le = 562.1245
STEP 3: Convert Result to Output's Unit
562.1245 Meter --> No Conversion Required
FINAL ANSWER
562.1245 Meter <-- Transition Curve Length for Superelevation
(Calculation completed in 00.004 seconds)

Credits

Created by Ayush Singh
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 Introduction of Superelevation Formula

Transition Curve Length for Superelevation = ((Rate of Superelevation*Allowable Rate of Change of Superelevation)/2)*(Normal Pavement Width+Extra Widening of Pavement)
Le = ((e*NRate)/2)*(W+Wex)

Why is the rate of change of superelevation introduced?

If a high value of superelevation is to be introduced, it is not desirable to raise the outer edge at a larger rate than 1 in 150. Reason for introduction of superelevation is thus because the length of transition curve should be at least 150 times the total amount by which the outer edge of the pavement is to be raised.

How to Calculate Length of Transition Curve according to Rate of Introduction of Superelevation?

Length of Transition Curve according to Rate of Introduction of Superelevation calculator uses Transition Curve Length for Superelevation = ((Rate of Superelevation*Allowable Rate of Change of Superelevation)/2)*(Normal Pavement Width+Extra Widening of Pavement) to calculate the Transition Curve Length for Superelevation, The Length of Transition Curve according to Rate of Introduction of Superelevation is defined as product of rate of change of superelevation to the total width of pavement i.e. (W+We). Transition Curve Length for Superelevation is denoted by Le symbol.

How to calculate Length of Transition Curve according to Rate of Introduction of Superelevation using this online calculator? To use this online calculator for Length of Transition Curve according to Rate of Introduction of Superelevation, enter Rate of Superelevation (e), Allowable Rate of Change of Superelevation (NRate), Normal Pavement Width (W) & Extra Widening of Pavement (Wex) and hit the calculate button. Here is how the Length of Transition Curve according to Rate of Introduction of Superelevation calculation can be explained with given input values -> 562.1245 = ((0.07*150.1)/2)*(7+100).

FAQ

What is Length of Transition Curve according to Rate of Introduction of Superelevation?
The Length of Transition Curve according to Rate of Introduction of Superelevation is defined as product of rate of change of superelevation to the total width of pavement i.e. (W+We) and is represented as Le = ((e*NRate)/2)*(W+Wex) or Transition Curve Length for Superelevation = ((Rate of Superelevation*Allowable Rate of Change of Superelevation)/2)*(Normal Pavement Width+Extra Widening of Pavement). Rate of Superelevation is degree of banking imposed on a horizontal curve to safely counterbalance the centrifugal force of a vehicle on the curve, Allowable Rate of Change of Superelevation is introduced in the length of the transition curve which is 1 in N, Normal Pavement Width is the actual paved surface measured between faces of curbs of streets or from edge to edge of alley road surface & Extra Widening of Pavement is the extra width of carriageway that is required on a curved section of a road over and above that is required on a straight alignment.
How to calculate Length of Transition Curve according to Rate of Introduction of Superelevation?
The Length of Transition Curve according to Rate of Introduction of Superelevation is defined as product of rate of change of superelevation to the total width of pavement i.e. (W+We) is calculated using Transition Curve Length for Superelevation = ((Rate of Superelevation*Allowable Rate of Change of Superelevation)/2)*(Normal Pavement Width+Extra Widening of Pavement). To calculate Length of Transition Curve according to Rate of Introduction of Superelevation, you need Rate of Superelevation (e), Allowable Rate of Change of Superelevation (NRate), Normal Pavement Width (W) & Extra Widening of Pavement (Wex). With our tool, you need to enter the respective value for Rate of Superelevation, Allowable Rate of Change of Superelevation, Normal Pavement Width & Extra Widening of Pavement 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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