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

✖Chord offset can be described as the offsets for chord of length.ⓘ Chord Offset [b]			+10% -10%
✖Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Circular Curve [R_c]			+10% -10%

✖Length of curve is defined as the arc length in a parabolic curves.ⓘ Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length [L_c]

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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)
L_c = sqrt(b*R_c)
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

L_c = sqrt(b*R_c) --> sqrt(150.7*130)

Evaluating ... ...

L_c = 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 00.020 seconds)

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National Institute of Technology (NIT), Warangal

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< Circular Curves on Highways and Roads Calculators

Central Angle of Curve for given Tangent Distance

LaTeX Go Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve))

Exact Tangent Distance

LaTeX Go Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve

Degree of Curve for given Radius of Curve

LaTeX Go Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180)

Radius of Curve using Degree of Curve

LaTeX Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))

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

LaTeX Go

Length of Curve = sqrt(Chord Offset*Radius of Circular Curve)
L_c = sqrt(b*R_c)

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 L_c 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 (R_c) 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 L_c = sqrt(b*R_c) 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 (R_c). 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 3 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

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