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Length of Curve Formula

GoLength of Curve if 30m Chord Definition Formula

GoLength of Curve if 20m Chord Definition Formula

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Length of curve is defined as the arc length in a parabolic curves. Check FAQs

L Curve = R Curve \cdot Δ

L_Curve - Length of Curve?R_Curve - Curve Radius?Δ - Deflection Angle?

Length of Curve Example

With values

With units

Only example

Here is how the Length of Curve equation looks like with Values.

Here is how the Length of Curve equation looks like with Units.

Here is how the Length of Curve equation looks like.

226.8928 = 200 \cdot 65

226.8928m = 200m \cdot 65°

226.8928 = 200 \cdot 65

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Length of Curve Solution

Follow our step by step solution on how to calculate Length of Curve?

FIRST Step Consider the formula

L Curve = R Curve \cdot Δ

Next Step Substitute values of Variables

∴

L Curve = 200m \cdot 65°

Next Step Convert Units

∴

L Curve = 200m \cdot 1.1345rad

Next Step Prepare to Evaluate

∴

L Curve = 200 \cdot 1.1345

Next Step Evaluate

∴

L Curve = 226.89280275922m

LAST Step Rounding Answer

∴

L Curve = 226.8928m

Length of Curve Formula Elements

Variables

Length of Curve

Length of curve is defined as the arc length in a parabolic curves.

Symbol: L_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Curve Radius

Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Radius

Deflection Angle

Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

Symbol: Δ

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Deflection Angle

Other Formulas to find Length of Curve

Go Length of Curve if 30m Chord Definition

L Curve = 30 \cdot \frac{Δ}{D} \cdot (\frac{180}{π})

Go Length of Curve if 20m Chord Definition

L Curve = 20 \cdot \frac{Δ}{D} \cdot (\frac{180}{π})

Other formulas in Simple Circular Curve category

Go Radius of Curve given Length

R Curve = \frac{L Curve}{Δ}

Go Deflection Angle given Length of Curve

Δ = \frac{L Curve}{R Curve}

Go Tangent Length

T = R Curve \cdot \tan (\frac{Δ}{2})

Go Radius of Curve given Tangent

R Curve = \frac{T}{\tan (\frac{Δ}{2})}

How to Evaluate Length of Curve?

Length of Curve evaluator uses Length of Curve = Curve Radius*Deflection Angle to evaluate the Length of Curve, The Length of Curve formula is defined as the designated using either the angle subtended or using the radius of the curve. A simple circular curve may, however, either be designated by radius (in feet, meters or chains) or by a degree of the curve. Length of Curve is denoted by L_Curve symbol.

How to evaluate Length of Curve using this online evaluator? To use this online evaluator for Length of Curve, enter Curve Radius (R_Curve) & Deflection Angle (Δ) and hit the calculate button.

FAQs on Length of Curve

What is the formula to find Length of Curve?

The formula of Length of Curve is expressed as Length of Curve = Curve Radius*Deflection Angle. Here is an example- 226.8928 = 200*1.1344640137961.

How to calculate Length of Curve?

With Curve Radius (R_Curve) & Deflection Angle (Δ) we can find Length of Curve using the formula - Length of Curve = Curve Radius*Deflection Angle.

What are the other ways to Calculate Length of Curve?

Here are the different ways to Calculate Length of Curve-

Length of Curve=30*Deflection Angle/Angle for Arc*(180/pi)
Length of Curve=20*Deflection Angle/Angle for Arc*(180/pi)

Can the Length of Curve be negative?

No, the Length of Curve, measured in Length cannot be negative.

Which unit is used to measure Length of Curve?

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

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