Deflection Angle given Length of Curve Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deflection Angle = Length of Curve/Curve Radius
Δ = LCurve/RCurve
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 = LCurve/RCurve --> 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)

Credits

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Simple Circular Curve Calculators

Length of Curve if 30m Chord Definition
​ LaTeX ​ Go Length of Curve = 30*Deflection Angle/Angle for Arc*(180/pi)
Deflection Angle given Length of Curve
​ LaTeX ​ Go Deflection Angle = Length of Curve/Curve Radius
Radius of Curve given Length
​ LaTeX ​ Go Curve Radius = Length of Curve/Deflection Angle
Length of Curve
​ LaTeX ​ Go Length of Curve = Curve Radius*Deflection Angle

Deflection Angle given Length of Curve Formula

​LaTeX ​Go
Deflection Angle = Length of Curve/Curve Radius
Δ = LCurve/RCurve

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 (LCurve) & Curve Radius (RCurve) 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 = LCurve/RCurve 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 (LCurve) & Curve Radius (RCurve). 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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