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Length of Curve given Radius of Curve and Deviation Angle Formula

GoLength of Summit Curve given Deviation Angle and Sight Distance Formula

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Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave. Check FAQs

L s = R \cdot N

L_s - Length of Curve?R - Radius of Curve?N - Deviation Angle?

Length of Curve given Radius of Curve and Deviation Angle Example

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Here is how the Length of Curve given Radius of Curve and Deviation Angle equation looks like with Values.

Here is how the Length of Curve given Radius of Curve and Deviation Angle equation looks like with Units.

Here is how the Length of Curve given Radius of Curve and Deviation Angle equation looks like.

2.0592 = 2.34 \cdot 0.88

2.0592m = 2.34m \cdot 0.88rad

2.0592 = 2.34 \cdot 0.88

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Length of Curve given Radius of Curve and Deviation Angle Solution

Follow our step by step solution on how to calculate Length of Curve given Radius of Curve and Deviation Angle?

FIRST Step Consider the formula

L s = R \cdot N

Next Step Substitute values of Variables

∴

L s = 2.34m \cdot 0.88rad

Next Step Prepare to Evaluate

∴

L s = 2.34 \cdot 0.88

LAST Step Evaluate

∴

L s = 2.0592m

Length of Curve given Radius of Curve and Deviation Angle Formula Elements

Variables

Length of Curve

Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Radius of Curve

Radius of Curve typically represents the minimum radius of the curve.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curve

Deviation Angle

Deviation Angle is the angle between the reference direction and the observed direction.

Symbol: N

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Deviation Angle

Other Formulas to find Length of Curve

Go Length of Summit Curve given Deviation Angle and Sight Distance

L s = \frac{N \cdot S^{2}}{2 \cdot {(\sqrt{h 1} + \sqrt{h 2})}^{2}}

Other formulas in Length of Summit Curve greater than Sight Distance category

Go Sight Distance given Length of Summit Curve

S = \sqrt{\frac{2 \cdot L s \cdot {(\sqrt{h 1} + \sqrt{h 2})}^{2}}{N}}

Go Radius of Curve given Length of Curve and Deviation Angle

R = \frac{L s}{N}

Go Deviation Angle given Length of Curve and Radius of Curve

N = \frac{L s}{R}

Go Deviation Angle given Length of Summit Curve

N = \frac{2 \cdot L s \cdot {(\sqrt{h 1} + \sqrt{h 2})}^{2}}{S^{2}}

How to Evaluate Length of Curve given Radius of Curve and Deviation Angle?

Length of Curve given Radius of Curve and Deviation Angle evaluator uses Length of Curve = Radius of Curve*Deviation Angle to evaluate the Length of Curve, The Length of Curve given Radius of Curve and Deviation Angle formula is defined as the product of the radius of the curve and the deviation angle. Length of Curve is denoted by L_s symbol.

How to evaluate Length of Curve given Radius of Curve and Deviation Angle using this online evaluator? To use this online evaluator for Length of Curve given Radius of Curve and Deviation Angle, enter Radius of Curve (R) & Deviation Angle (N) and hit the calculate button.

FAQs on Length of Curve given Radius of Curve and Deviation Angle

What is the formula to find Length of Curve given Radius of Curve and Deviation Angle?

The formula of Length of Curve given Radius of Curve and Deviation Angle is expressed as Length of Curve = Radius of Curve*Deviation Angle. Here is an example- 4.6992 = 2.34*0.88.

How to calculate Length of Curve given Radius of Curve and Deviation Angle?

With Radius of Curve (R) & Deviation Angle (N) we can find Length of Curve given Radius of Curve and Deviation Angle using the formula - Length of Curve = Radius of Curve*Deviation Angle.

What are the other ways to Calculate Length of Curve?

Here are the different ways to Calculate Length of Curve-

Length of Curve=(Deviation Angle*Sight Distance^2)/(2*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)

Can the Length of Curve given Radius of Curve and Deviation Angle be negative?

No, the Length of Curve given Radius of Curve and Deviation Angle, measured in Length cannot be negative.

Which unit is used to measure Length of Curve given Radius of Curve and Deviation Angle?

Length of Curve given Radius of Curve and Deviation Angle 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 given Radius of Curve and Deviation Angle can be measured.

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Length of Curve given Radius of Curve and Deviation Angle Formula

​GoLength of Summit Curve given Deviation Angle and Sight Distance Formula

Length of Curve given Radius of Curve and Deviation Angle Example

Length of Curve given Radius of Curve and Deviation Angle Solution

Length of Curve given Radius of Curve and Deviation Angle Formula Elements

Other Formulas to find Length of Curve

Other formulas in Length of Summit Curve greater than Sight Distance category

How to Evaluate Length of Curve given Radius of Curve and Deviation Angle?

FAQs on Length of Curve given Radius of Curve and Deviation Angle

Variable Name

GoLength of Summit Curve given Deviation Angle and Sight Distance Formula