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

✖Rate of Superelevation is degree of banking imposed on a horizontal curve to safely counterbalance the centrifugal force of a vehicle on the curve.ⓘ Rate of Superelevation [e]			+10% -10%
✖Allowable Rate of Change of Superelevation is introduced in the length of the transition curve which is 1 in N.ⓘ Allowable Rate of Change of Superelevation [N_Rate]			+10% -10%
✖Normal Pavement Width is the actual paved surface measured between faces of curbs of streets or from edge to edge of alley road surface.ⓘ Normal Pavement Width [W]			+10% -10%
✖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.ⓘ Extra Widening of Pavement [W_ex]			+10% -10%

✖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.ⓘ Length of Transition Curve according to Rate of Introduction of Superelevation [L_e]

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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)
L_e = ((e*N_Rate)/2)*(W+W_ex)
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

L_e = ((e*N_Rate)/2)*(W+W_ex) --> ((0.07*150.1)/2)*(7+100)

Evaluating ... ...

L_e = 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 00.020 seconds)

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< Transition Curve Calculators

Length of Transition Curve according to Rate of Introduction of Superelevation

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 Introduction of Superelevation Formula

LaTeX Go

Transition Curve Length for Superelevation = ((Rate of Superelevation*Allowable Rate of Change of Superelevation)/2)*(Normal Pavement Width+Extra Widening of Pavement)
L_e = ((e*N_Rate)/2)*(W+W_ex)

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 L_e 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 (N_Rate), Normal Pavement Width (W) & Extra Widening of Pavement (W_ex) 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 L_e = ((e*N_Rate)/2)*(W+W_ex) 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 (N_Rate), Normal Pavement Width (W) & Extra Widening of Pavement (W_ex). 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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