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Deflection Angle given Length of Curve Formula

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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. Check FAQs

Δ = \frac{L Curve}{R Curve}

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

Deflection Angle given Length of Curve Example

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With units

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

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

Here is how the Deflection Angle given Length of Curve equation looks like.

42.9718 = \frac{150}{200}

42.9718° = \frac{150m}{200m}

42.9718 = \frac{150}{200}

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Deflection Angle given Length of Curve Solution

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

FIRST Step Consider the formula

Δ = \frac{L Curve}{R Curve}

Next Step Substitute values of Variables

∴

Δ = \frac{150m}{200m}

Next Step Prepare to Evaluate

∴

Δ = \frac{150}{200}

Next Step Evaluate

∴

Δ = 0.75rad

Next Step Convert to Output's Unit

∴

Δ = 42.9718346348198°

LAST Step Rounding Answer

∴

Δ = 42.9718°

Deflection Angle given Length of Curve Formula Elements

Variables

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

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

Other formulas in Simple Circular Curve category

Go Length of Curve

L Curve = R Curve \cdot Δ

Go Radius of Curve given Length

R Curve = \frac{L Curve}{Δ}

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})

How to Evaluate Deflection Angle given Length of Curve?

Deflection Angle given Length of Curve evaluator uses Deflection Angle = Length of Curve/Curve Radius to evaluate the Deflection Angle, The Deflection Angle given Length of Curve formula is defined as also called the interior centre angle. A central angle is an angle whose vertex is the centre of a circle and whose legs (sides) are radii intersecting the circle in two distinct points. Deflection Angle is denoted by Δ symbol.

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

FAQs on Deflection Angle given Length of Curve

What is the formula to find Deflection Angle given Length of Curve?

The formula of Deflection Angle given Length of Curve is expressed as Deflection Angle = Length of Curve/Curve Radius. Here is an example- 2462.105 = 150/200.

How to calculate Deflection Angle given Length of Curve?

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

Can the Deflection Angle given Length of Curve be negative?

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

Which unit is used to measure Deflection Angle given Length of Curve?

Deflection Angle given Length of Curve is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Deflection Angle given Length of Curve can be measured.

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