Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Curve = sqrt(Chord Offset*Radius of Circular Curve)
Lc = sqrt(b*Rc)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
Chord Offset - (Measured in Meter) - Chord offset can be described as the offsets for chord of length.
Radius of Circular Curve - (Measured in Meter) - Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.
STEP 1: Convert Input(s) to Base Unit
Chord Offset: 150.7 Meter --> 150.7 Meter No Conversion Required
Radius of Circular Curve: 130 Meter --> 130 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lc = sqrt(b*Rc) --> sqrt(150.7*130)
Evaluating ... ...
Lc = 139.967853452141
STEP 3: Convert Result to Output's Unit
139.967853452141 Meter --> No Conversion Required
FINAL ANSWER
139.967853452141 139.9679 Meter <-- Length of Curve
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal
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Radius of Curve using External Distance
Go Radius of Circular Curve = External Distance/((sec(1/2)*(Central Angle of Curve*(180/pi)))-1)
External Distance
Go External Distance = Radius of Circular Curve*((sec(1/2)*Central Angle of Curve*(180/pi))-1)
Central Angle of Curve for given Length of Long Chord
Go Central Angle of Curve = (Length of long Chord/(2*Radius of Circular Curve*sin(1/2)))
Radius of Curve given Length of Long Chord
Go Radius of Circular Curve = Length of long Chord/(2*sin(1/2)*(Central Angle of Curve))
Length of Long Chord
Go Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve))
Central Angle of Curve for given Tangent Distance
Go Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve))
Radius of Curve using Tangent Distance
Go Radius of Circular Curve = Tangent Distance/(sin(1/2)*(Central Angle of Curve))
Radius of Curve using Midordinate
Go Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve)))
Exact Tangent Distance
Go Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve
Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length
Go Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)
Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length
Go Length of Curve = sqrt(Chord Offset*Radius of Circular Curve)
Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve
Go Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve
Central angle for Portion of Curve Approximate for Chord definition
Go Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100
Central Angle for Portion of Curve Exact for Arc definition
Go Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100
Length of Curve given Central Angle for portion of Curve
Go Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve
Degree of Curve when Central Angle for Portion of Curve
Go Degree of Curve = (100*Central Angle for Portion of Curve)/Length of Curve
Tangent Offset for Chord of Length
Go Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve)
Degree of Curve for given Radius of Curve
Go Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180)
Radius of Curve
Go Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi))
Central Angle of Curve for given Length of Curve
Go Central Angle of Curve = (Length of Curve*Degree of Curve)/100
Degree of Curve for given Length of Curve
Go Degree of Curve = (100*Central Angle of Curve)/Length of Curve
Exact Length of Curve
Go Length of Curve = (100*Central Angle of Curve)/Degree of Curve
Radius of Curve using Degree of Curve
Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Radius of Curve Exact for Chord
Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Approximate Chord Offset for Chord of Length
Go Chord Offset = Length of Curve^2/Radius of Circular Curve

Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length Formula

Length of Curve = sqrt(Chord Offset*Radius of Circular Curve)
Lc = sqrt(b*Rc)

What is radius of curve?

Radius of curve can be defined as the absolute value of the reciprocal of the curvature at a point on a curve.

How to Calculate Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length?

Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length calculator uses Length of Curve = sqrt(Chord Offset*Radius of Circular Curve) to calculate the Length of Curve, Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length can be defined as curve length obtained in chord by central angle. Length of Curve is denoted by Lc symbol.

How to calculate Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length using this online calculator? To use this online calculator for Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length, enter Chord Offset (b) & Radius of Circular Curve (Rc) and hit the calculate button. Here is how the Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length calculation can be explained with given input values -> 139.1761 = sqrt(150.7*130).

FAQ

What is Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length?
Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length can be defined as curve length obtained in chord by central angle and is represented as Lc = sqrt(b*Rc) or Length of Curve = sqrt(Chord Offset*Radius of Circular Curve). Chord offset can be described as the offsets for chord of length & Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.
How to calculate Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length?
Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length can be defined as curve length obtained in chord by central angle is calculated using Length of Curve = sqrt(Chord Offset*Radius of Circular Curve). To calculate Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length, you need Chord Offset (b) & Radius of Circular Curve (Rc). With our tool, you need to enter the respective value for Chord Offset & Radius of Circular Curve 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 Chord Offset & Radius of Circular Curve. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Length of Curve = (100*Central Angle of Curve)/Degree of Curve
  • Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve
  • Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve
  • Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)
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