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Length of Transition Curve given Super-Elevation Formula

GoLength of Transition Curve given Centrifugal Acceleration Formula

GoLength of Transition for Curve Plain and Rolling Terrain Formula

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Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve. Check FAQs

L c = N \cdot e \cdot (W e + W)

L_c - Length of Transition Curve?N - Allowable Rate of Super Elevation?e - Rate of Super Elevation?W_e - Total Widening Needed at Horizontal Curve?W - Normal Width of Pavement?

Length of Transition Curve given Super-Elevation Example

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Here is how the Length of Transition Curve given Super-Elevation equation looks like with Values.

Here is how the Length of Transition Curve given Super-Elevation equation looks like with Units.

Here is how the Length of Transition Curve given Super-Elevation equation looks like.

12.369 = 150 \cdot 0.07 \cdot (0.878 + 0.3)

12.369m = 150 \cdot 0.07 \cdot (0.878m + 0.3m)

12.369 = 150 \cdot 0.07 \cdot (0.878 + 0.3)

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Length of Transition Curve given Super-Elevation Solution

Follow our step by step solution on how to calculate Length of Transition Curve given Super-Elevation?

FIRST Step Consider the formula

L c = N \cdot e \cdot (W e + W)

Next Step Substitute values of Variables

∴

L c = 150 \cdot 0.07 \cdot (0.878m + 0.3m)

Next Step Prepare to Evaluate

∴

L c = 150 \cdot 0.07 \cdot (0.878 + 0.3)

LAST Step Evaluate

∴

L c = 12.369m

Length of Transition Curve given Super-Elevation Formula Elements

Variables

Length of Transition Curve

Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Transition Curve

Allowable Rate of Super Elevation

Allowable Rate of Super Elevation means that greater the superelevation, more is the inconvenience to the slow traffic.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Allowable Rate of Super Elevation

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.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Rate of Super Elevation

Total Widening Needed at Horizontal Curve

Total Widening Needed at Horizontal Curve is the sum of total mechanical widening and total psychological widening.

Symbol: W_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Widening Needed at Horizontal Curve

Normal Width of Pavement

Normal Width of Pavement is the width of pavement required for a vehicle in horizontal curve.

Symbol: W

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Normal Width of Pavement

Other Formulas to find Length of Transition Curve

Go Length of Transition Curve given Centrifugal Acceleration

L c = \frac{{v vehicle}^{3}}{C \cdot R trans}

Go Length of Transition for Curve Plain and Rolling Terrain

L c = \frac{35 \cdot {v vehicle}^{2}}{R trans}

Go Length of Transition Curve for Steep and Hilly Terrains

L c = \frac{12.96 \cdot {v vehicle}^{2}}{R trans}

Other formulas in Design of Transition Curves and Setback Distances category

Go Rate of Change of Centrifugal Acceleration

C = \frac{{v vehicle}^{3}}{L c \cdot R trans}

Go Rate of Change of Centrifugal Acceleration given Empirical Formula

C = \frac{80}{75 + 3.6 \cdot v vehicle}

Go Shift given Length of Transition Curve

s = \frac{{L c}^{2}}{24 \cdot R}

Go Angle Subtended by Radius of Curve for Single Lane Road

α 1 = \frac{180 \cdot s}{π \cdot R trans}

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

Length of Transition Curve given Super-Elevation evaluator 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 evaluate 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 L_c symbol.

How to evaluate Length of Transition Curve given Super-Elevation using this online evaluator? To use this online evaluator 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.

FAQs on Length of Transition Curve given Super-Elevation

What is the formula to find Length of Transition Curve given Super-Elevation?

The formula of Length of Transition Curve given Super-Elevation is expressed as Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement). Here is an example- 12.369 = 150*0.07*(0.878+0.3).

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

With Allowable Rate of Super Elevation (N), Rate of Super Elevation (e), Total Widening Needed at Horizontal Curve (W_e) & Normal Width of Pavement (W) we can find Length of Transition Curve given Super-Elevation using the formula - Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement).

What are the other ways to Calculate Length of Transition Curve?

Here are the different ways to Calculate Length of Transition Curve-

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

Can the Length of Transition Curve given Super-Elevation be negative?

No, the Length of Transition Curve given Super-Elevation, measured in Length cannot be negative.

Which unit is used to measure Length of Transition Curve given Super-Elevation?

Length of Transition Curve given Super-Elevation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Transition Curve given Super-Elevation can be measured.

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: Unit

Length of Transition Curve given Super-Elevation Formula

​GoLength of Transition Curve given Centrifugal Acceleration Formula

​GoLength of Transition for Curve Plain and Rolling Terrain Formula

Length of Transition Curve given Super-Elevation Example

Length of Transition Curve given Super-Elevation Solution

Length of Transition Curve given Super-Elevation Formula Elements

Other Formulas to find Length of Transition Curve

Other formulas in Design of Transition Curves and Setback Distances category

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

FAQs on Length of Transition Curve given Super-Elevation

Variable Name

GoLength of Transition Curve given Centrifugal Acceleration Formula

GoLength of Transition for Curve Plain and Rolling Terrain Formula