Length of Transition Curve if Pavement is Rotated about Inner Edge 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 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 if Pavement is Rotated about Inner Edge [L_t]

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Formula

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Length of Transition Curve if Pavement is Rotated about Inner Edge

Formula

`"L"_{"t"} = "e"*"N"_{"Rate"}*("W"+"W"_{"ex"})`

Example

`"1124.249m"="0.07"*"150.1"*("7m"+"100m")`

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Length of Transition Curve if Pavement is Rotated about Inner Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transition Curve Length = Rate of Superelevation*Allowable Rate of Change of Superelevation*(Normal Pavement Width+Extra Widening of Pavement)
L_t = e*N_Rate*(W+W_ex)
This formula uses 5 Variables

Variables Used

Transition Curve Length - (Measured in Meter) - Transition Curve Length 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_t = e*N_Rate*(W+W_ex) --> 0.07*150.1*(7+100)

Evaluating ... ...

L_t = 1124.249

STEP 3: Convert Result to Output's Unit

1124.249 Meter --> No Conversion Required

FINAL ANSWER

1124.249 Meter <-- Transition Curve Length

(Calculation completed in 00.004 seconds)

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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 if Pavement is Rotated about Inner Edge Formula

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

Why the rate of change of superelevation is introduced?

If a high value of superelevation is introduced the it is undesirable to raise the outer edge of pavement at larger rate than 1 in 150.

Reason for introduction of superelevation

However, the transition curve length may be reduced by allowing an increased differential gradient of 1 in 100.

How to Calculate Length of Transition Curve if Pavement is Rotated about Inner Edge?

Length of Transition Curve if Pavement is Rotated about Inner Edge calculator uses Transition Curve Length = Rate of Superelevation*Allowable Rate of Change of Superelevation*(Normal Pavement Width+Extra Widening of Pavement) to calculate the Transition Curve Length, Length of Transition Curve if Pavement is Rotated about Inner Edge formula is defined as product of rate of change of superelevation to the total width of pavement. Transition Curve Length is denoted by L_t symbol.

How to calculate Length of Transition Curve if Pavement is Rotated about Inner Edge using this online calculator? To use this online calculator for Length of Transition Curve if Pavement is Rotated about Inner Edge, 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 if Pavement is Rotated about Inner Edge calculation can be explained with given input values -> 1124.249 = 0.07*150.1*(7+100).

FAQ

What is Length of Transition Curve if Pavement is Rotated about Inner Edge?

Length of Transition Curve if Pavement is Rotated about Inner Edge formula is defined as product of rate of change of superelevation to the total width of pavement and is represented as L_t = e*N_Rate*(W+W_ex) or Transition Curve Length = Rate of Superelevation*Allowable Rate of Change of Superelevation*(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 if Pavement is Rotated about Inner Edge?

Length of Transition Curve if Pavement is Rotated about Inner Edge formula is defined as product of rate of change of superelevation to the total width of pavement is calculated using Transition Curve Length = Rate of Superelevation*Allowable Rate of Change of Superelevation*(Normal Pavement Width+Extra Widening of Pavement). To calculate Length of Transition Curve if Pavement is Rotated about Inner Edge, 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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