Length of Central Curve Calculator

✖Radius of Central Curve is the distance between center of a circle or any other point on the circumference of the circle and surface of the sphere.ⓘ Radius of Central Curve [R2]			+10% -10%
✖Deflection Angle of Central Curve is the angle between the onward extension of the previous leg and the line ahead.ⓘ Deflection Angle of Central Curve [D₂]			+10% -10%

✖Length of Central Curve can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity.ⓘ Length of Central Curve [L2]

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Formula

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Length of Central Curve

Formula

`"L2" = (pi*"R2"*"D"_{"2"})/180`

Example

`"24.9233m"=(pi*"102m"*"14rad")/180`

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Length of Central Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180
L2 = (pi*R2*D₂)/180
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length of Central Curve - (Measured in Meter) - Length of Central Curve can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity.
Radius of Central Curve - (Measured in Meter) - Radius of Central Curve is the distance between center of a circle or any other point on the circumference of the circle and surface of the sphere.
Deflection Angle of Central Curve - (Measured in Radian) - Deflection Angle of Central Curve is the angle between the onward extension of the previous leg and the line ahead.

STEP 1: Convert Input(s) to Base Unit

Radius of Central Curve: 102 Meter --> 102 Meter No Conversion Required
Deflection Angle of Central Curve: 14 Radian --> 14 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L2 = (pi*R2*D₂)/180 --> (pi*102*14)/180

Evaluating ... ...

L2 = 24.923301718479

STEP 3: Convert Result to Output's Unit

24.923301718479 Meter --> No Conversion Required

FINAL ANSWER

24.923301718479 ≈ 24.9233 Meter <-- Length of Central Curve

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Transportation Engineering » Airport Planning and Design » Taxiway and Exit Taxiway Design » Turning Radius » Length of Central Curve

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Coorg Institute of Technology (CIT), Coorg

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< 19 Turning Radius Calculators

Wheelbase given Turning Radius

Go Wheelbase = sqrt(((Radius of Curve for Taxiway*(0.5*Taxiway Width))-Distance between Midway Points)/0.388)

Radius of Entrance Curve when Deflection Angle of Entrance Curve is considered

Go Radius of Curve for Taxiway = (180*Length of Entrance Curve)/(pi*Deflection Angle of Entrance Curve)

Horonjeff Equation for Turning Radius of Taxiway

Go Radius of Curve for Taxiway = (0.388*Wheelbase^2)/((0.5*Taxiway Width)-Distance between Midway Points)

Taxiway Width given Turning Radius

Go Taxiway Width = (((0.388*Wheelbase^2)/Radius of Curve for Taxiway)+Distance between Midway Points)/0.5

Deflection Angle of Entrance Curve

Go Deflection Angle of Entrance Curve = (180*Length of Entrance Curve)/(pi*Radius of Curve for Taxiway)

Length of Entrance Curve when Deflection Angle of Entrance Curve is considered

Go Length of Entrance Curve = (pi*Deflection Angle of Entrance Curve*Radius of Curve for Taxiway)/180

Distance between Midway Points of Main Gears and Edge of Taxiway Pavements

Go Distance between Midway Points = (0.5*Taxiway Width)-(0.388*Wheelbase^2/Radius of Curve for Taxiway)

Deflection of Angle at Central Curve when Length of Central Curve is considered

Go Deflection Angle of Central Curve = (180*Length of Central Curve)/(pi*Radius of Central Curve)

Radius of Central Curve given Length of Central Curve

Go Radius of Central Curve = (180*Length of Central Curve)/(pi*Deflection Angle of Central Curve)

Length of Central Curve

Go Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180

Turning Speed of Aircraft given Radius of Curve

Go Turning Speed of Aircraft = sqrt(Radius of Curve for Taxiway*Coefficient of Friction*125)

Turning Speed of Aircraft given Sight Distance

Go Turning Speed of Aircraft = sqrt(25.5*Deceleration*Sight Distance)

Turning Radius

Go Radius of Curve for Taxiway = (Turning Speed of Aircraft^2)/(125*Coefficient of Friction)

Sight Distance

Go Sight Distance = (Turning Speed of Aircraft^2)/(25.5*Deceleration)

Deceleration given Sight Distance

Go Deceleration = Turning Speed of Aircraft^2/(25.5*Sight Distance)

Deflection Angle of Entrance Curve given Deflection of Angle at Central Curve

Go Deflection Angle of Entrance Curve = 35-Deflection Angle of Central Curve

Deflection of Angle at Central Curve

Go Deflection Angle of Central Curve = 35-Deflection Angle of Entrance Curve

Radius of Curve when Velocity in Turn

Go Radius of Curve for Taxiway = (Turning Speed of Aircraft/4.1120)^2

Velocity in Turn

Go Turning Speed of Aircraft = 4.1120*Radius of Curve for Taxiway^0.5

Length of Central Curve Formula

Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180
L2 = (pi*R2*D₂)/180

What is Sight distance?

Sight distance is the length of roadway visible to a driver. The three types of sight distance common in roadway design are intersection sight distance, stopping sight distance, and passing sight distance.

How to Calculate Length of Central Curve?

Length of Central Curve calculator uses Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180 to calculate the Length of Central Curve, Length of Central Curve can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity. Length of Central Curve is denoted by L2 symbol.

How to calculate Length of Central Curve using this online calculator? To use this online calculator for Length of Central Curve, enter Radius of Central Curve (R2) & Deflection Angle of Central Curve (D₂) and hit the calculate button. Here is how the Length of Central Curve calculation can be explained with given input values -> 24.9233 = (pi*102*14)/180.

FAQ

What is Length of Central Curve?

Length of Central Curve can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity and is represented as L2 = (pi*R2*D₂)/180 or Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180. Radius of Central Curve is the distance between center of a circle or any other point on the circumference of the circle and surface of the sphere & Deflection Angle of Central Curve is the angle between the onward extension of the previous leg and the line ahead.

How to calculate Length of Central Curve?

Length of Central Curve can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity is calculated using Length of Central Curve = (pi*Radius of Central Curve*Deflection Angle of Central Curve)/180. To calculate Length of Central Curve, you need Radius of Central Curve (R2) & Deflection Angle of Central Curve (D₂). With our tool, you need to enter the respective value for Radius of Central Curve & Deflection Angle of Central Curve 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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