Length of Curve if 20m Chord Definition Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Curve = 20*Deflection Angle/Angle for Arc*(180/pi)
LCurve = 20*Δ/D*(180/pi)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
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.
Angle for Arc - Angle for Arc is the angle made by the arc which is a part of circle. The arc made is mostly by 30m or 20m chain length.
STEP 1: Convert Input(s) to Base Unit
Deflection Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)
Angle for Arc: 21 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LCurve = 20*Δ/D*(180/pi) --> 20*1.1344640137961/21*(180/pi)
Evaluating ... ...
LCurve = 61.9047619047502
STEP 3: Convert Result to Output's Unit
61.9047619047502 Meter --> No Conversion Required
FINAL ANSWER
61.9047619047502 61.90476 Meter <-- Length of Curve
(Calculation completed in 00.004 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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National Institute of Technology (NIT), Warangal
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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

Length of Curve if 20m Chord Definition Formula

Length of Curve = 20*Deflection Angle/Angle for Arc*(180/pi)
LCurve = 20*Δ/D*(180/pi)

What is Degree of the Curve?

The curvature of a circular arc is perfectly defined by its radius. However, where the radius is long (highways) the center of the curve is inaccessible or remote. In such a case the radius is of no value for surveying operations, though still needed in certain computations; it must be replaced by a different characteristic of the curve which is most useful. The characteristic commonly used is known as degree of curve.
Midpoint: It is the summit or apex of the curve.
Apex distance: The distance from the point of intersection to the apex of the curve.
Central angle: The angle subtended at the center of the curve by the arc.

How to Calculate Length of Curve if 20m Chord Definition?

Length of Curve if 20m Chord Definition calculator uses Length of Curve = 20*Deflection Angle/Angle for Arc*(180/pi) to calculate the Length of Curve, The Length of Curve if 20m Chord Definition formula is defined as according to the chord definition, the degree of a curve is the central angle subtended by a chord of 30 or 20 m lengths. Length of Curve is denoted by LCurve symbol.

How to calculate Length of Curve if 20m Chord Definition using this online calculator? To use this online calculator for Length of Curve if 20m Chord Definition, enter Deflection Angle (Δ) & Angle for Arc (D) and hit the calculate button. Here is how the Length of Curve if 20m Chord Definition calculation can be explained with given input values -> 61.90476 = 20*1.1344640137961/21*(180/pi).

FAQ

What is Length of Curve if 20m Chord Definition?
The Length of Curve if 20m Chord Definition formula is defined as according to the chord definition, the degree of a curve is the central angle subtended by a chord of 30 or 20 m lengths and is represented as LCurve = 20*Δ/D*(180/pi) or Length of Curve = 20*Deflection Angle/Angle for Arc*(180/pi). 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 & Angle for Arc is the angle made by the arc which is a part of circle. The arc made is mostly by 30m or 20m chain length.
How to calculate Length of Curve if 20m Chord Definition?
The Length of Curve if 20m Chord Definition formula is defined as according to the chord definition, the degree of a curve is the central angle subtended by a chord of 30 or 20 m lengths is calculated using Length of Curve = 20*Deflection Angle/Angle for Arc*(180/pi). To calculate Length of Curve if 20m Chord Definition, you need Deflection Angle (Δ) & Angle for Arc (D). With our tool, you need to enter the respective value for Deflection Angle & Angle for Arc 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 Length of Curve?
In this formula, Length of Curve uses Deflection Angle & Angle for Arc. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Curve = Curve Radius*Deflection Angle
  • Length of Curve = 30*Deflection Angle/Angle for Arc*(180/pi)
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