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)
Lc = N*e*(We+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
Lc = N*e*(We+W) --> 150*0.07*(0.878+0.3)
Evaluating ... ...
Lc = 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 00.004 seconds)

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Created by Avayjit Das
University of Engineering and Management,Kolkata (UEMK), Kolkata
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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 given Super-Elevation Formula

Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement)
Lc = N*e*(We+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, The Length of Transition Curve given Super-Elevation formula is the length of transition curve when provided super elevation. Length of Transition Curve is denoted by Lc 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 (We) & 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?
The Length of Transition Curve given Super-Elevation formula is the length of transition curve when provided super elevation and is represented as Lc = N*e*(We+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?
The Length of Transition Curve given Super-Elevation formula is the length of transition curve when provided super elevation 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 (We) & 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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