Radius of Curve given Long Chord Calculator

✖Length of Long Chord can be described as the distance from point of curvature to point of tangency.ⓘ Length of Long Chord [C]			+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 [Δ]			+10% -10%

✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve given Long Chord [R_Curve]

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Radius of Curve given Long Chord Solution

STEP 0: Pre-Calculation Summary

Formula Used

Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2))
R_Curve = C/(2*sin(Δ/2))
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
Length of Long Chord - (Measured in Meter) - Length of Long Chord can be described as the distance from point of curvature to point of tangency.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Long Chord: 65.5 Meter --> 65.5 Meter No Conversion Required
Deflection Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_Curve = C/(2*sin(Δ/2)) --> 65.5/(2*sin(1.1344640137961/2))

Evaluating ... ...

R_Curve = 60.9529571420524

STEP 3: Convert Result to Output's Unit

60.9529571420524 Meter --> No Conversion Required

FINAL ANSWER

60.9529571420524 ≈ 60.95296 Meter <-- Curve Radius

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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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

Radius of Curve given Long Chord Formula

LaTeX Go

Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2))
R_Curve = C/(2*sin(Δ/2))

What are the Various Parts of a Curve?

(i) Tangents: The straight lines at the ends of curve or lines connected by the curves. The tangent drawn to the first point of curve is the first tangent and similarly the second tangent.
(ii) Vertex: The points of intersection of the two straights is called the intersection point or the vertex.
(iii)Long chord: Line joining both the tangents.
(iv) Mid point: It is the summit or apex of the curve.
(v) Apex distance: The distance from the point of intersection to the apex of the curve.
(vi)Central angle: The angle subtended at the centre of the curve by the arc.

How to Calculate Radius of Curve given Long Chord?

Radius of Curve given Long Chord calculator uses Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2)) to calculate the Curve Radius, The Radius of Curve given Long Chord formula is defined as the same as the radius of a circle from which part is taken as an arc or curve. Curve Radius is denoted by R_Curve symbol.

How to calculate Radius of Curve given Long Chord using this online calculator? To use this online calculator for Radius of Curve given Long Chord, enter Length of Long Chord (C) & Deflection Angle (Δ) and hit the calculate button. Here is how the Radius of Curve given Long Chord calculation can be explained with given input values -> 60.95296 = 65.5/(2*sin(1.1344640137961/2)).

FAQ

What is Radius of Curve given Long Chord?

The Radius of Curve given Long Chord formula is defined as the same as the radius of a circle from which part is taken as an arc or curve and is represented as R_Curve = C/(2*sin(Δ/2)) or Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2)). Length of Long Chord can be described as the distance from point of curvature to point of tangency & 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.

How to calculate Radius of Curve given Long Chord?

The Radius of Curve given Long Chord formula is defined as the same as the radius of a circle from which part is taken as an arc or curve is calculated using Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2)). To calculate Radius of Curve given Long Chord, you need Length of Long Chord (C) & Deflection Angle (Δ). With our tool, you need to enter the respective value for Length of Long Chord & Deflection Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Curve Radius?

In this formula, Curve Radius uses Length of Long Chord & Deflection Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Curve Radius = Length of Curve/Deflection Angle
Curve Radius = Tangent Length/tan(Deflection Angle/2)
Curve Radius = Apex Distance/(sec(Deflection Angle/2)-1)

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