Deflection Angle given Length of Curve Calculator

✖Length of curve is defined as the arc length in a parabolic curves.ⓘ Length of Curve [L_Curve]			+10% -10%
✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%

✖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.ⓘ Deflection Angle given Length of Curve [Δ]

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Formula

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Deflection Angle given Length of Curve

Formula

`"Δ" = "L"_{"Curve"}/"R"_{"Curve"}`

Example

`"42.97183°"="150m"/"200m"`

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Deflection Angle given Length of Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle = Length of Curve/Curve Radius
Δ = L_Curve/R_Curve
This formula uses 3 Variables

Variables Used

Deflection Angle - (Measured in Radian) - 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.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 150 Meter --> 150 Meter No Conversion Required
Curve Radius: 200 Meter --> 200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δ = L_Curve/R_Curve --> 150/200

Evaluating ... ...

Δ = 0.75

STEP 3: Convert Result to Output's Unit

0.75 Radian -->42.9718346348198 Degree (Check conversion here)

FINAL ANSWER

42.9718346348198 ≈ 42.97183 Degree <-- Deflection Angle

(Calculation completed in 00.004 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 11 Simple Circular Curve Calculators

Radius of Curve given Long Chord

Go Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2))

Length of Curve if 30m Chord Definition

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

Length of Curve if 20m Chord Definition

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

Radius given Apex Distance

Go Curve Radius = Apex Distance/(sec(Deflection Angle/2)-1)

Apex Distance

Go Apex Distance = Curve Radius*(sec(Deflection Angle/2)-1)

Mid Ordinate

Go Mid Ordinate = Curve Radius*(1-cos(Deflection Angle/2))

Radius of Curve given Tangent

Go Curve Radius = Tangent Length/tan(Deflection Angle/2)

Tangent Length

Go Tangent Length = Curve Radius*tan(Deflection Angle/2)

Deflection Angle given Length of Curve

Go Deflection Angle = Length of Curve/Curve Radius

Radius of Curve given Length

Go Curve Radius = Length of Curve/Deflection Angle

Length of Curve

Go Length of Curve = Curve Radius*Deflection Angle

Deflection Angle given Length of Curve Formula

Deflection Angle = Length of Curve/Curve Radius
Δ = L_Curve/R_Curve

What is setting out a curve means?

Setting out a curve means locating various points at equal and convenient distances along the length of a curve. The distance between any two successive points is called peg interval. Since it is impractical to measure the peg interval along the arc, it is measured along the chord.

How to Calculate Deflection Angle given Length of Curve?

Deflection Angle given Length of Curve calculator uses Deflection Angle = Length of Curve/Curve Radius to calculate 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 calculate Deflection Angle given Length of Curve using this online calculator? To use this online calculator for Deflection Angle given Length of Curve, enter Length of Curve (L_Curve) & Curve Radius (R_Curve) and hit the calculate button. Here is how the Deflection Angle given Length of Curve calculation can be explained with given input values -> 2462.105 = 150/200.

FAQ

What is Deflection Angle given Length of Curve?

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 and is represented as Δ = L_Curve/R_Curve or Deflection Angle = Length of Curve/Curve Radius. Length of curve is defined as the arc length in a parabolic curves & Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Deflection Angle given Length of Curve?

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 is calculated using Deflection Angle = Length of Curve/Curve Radius. To calculate Deflection Angle given Length of Curve, you need Length of Curve (L_Curve) & Curve Radius (R_Curve). With our tool, you need to enter the respective value for Length of Curve & Curve Radius 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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