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Radius of Curve given Length of Curve and Deviation Angle Formula

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

R = \frac{L s}{N}

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

Radius of Curve given Length of Curve and Deviation Angle Example

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

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

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

7.9545 = \frac{7}{0.88}

7.9545m = \frac{7m}{0.88rad}

7.9545 = \frac{7}{0.88}

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Radius of Curve given Length of Curve and Deviation Angle Solution

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

FIRST Step Consider the formula

R = \frac{L s}{N}

Next Step Substitute values of Variables

∴

R = \frac{7m}{0.88rad}

Next Step Prepare to Evaluate

∴

R = \frac{7}{0.88}

Next Step Evaluate

∴

R = 7.95454545454545m

LAST Step Rounding Answer

∴

R = 7.9545m

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

Variables

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

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

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 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 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}}

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 Radius of Curve given Length of Curve and Deviation Angle?

Radius of Curve given Length of Curve and Deviation Angle evaluator uses Radius of Curve = Length of Curve/Deviation Angle to evaluate the Radius of Curve, The Radius of Curve given Length of Curve and Deviation Angle formula is defined as the ratio of the length of the curve and the deviation angle. Radius of Curve is denoted by R symbol.

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

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

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

The formula of Radius of Curve given Length of Curve and Deviation Angle is expressed as Radius of Curve = Length of Curve/Deviation Angle. Here is an example- 7.954545 = 7/0.88.

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

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

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

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

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

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

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Radius of Curve given Length of Curve and Deviation Angle Formula

Radius of Curve given Length of Curve and Deviation Angle Example

Radius of Curve given Length of Curve and Deviation Angle Solution

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

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

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

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

Variable Name