Radius of Curve given Chord offset for Chord of Length Calculator

✖Length of curve is defined as the arc length in a parabolic curves.ⓘ Length of Curve [L_c]			+10% -10%
✖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 Curve given Chord offset for Chord of Length [R_c]

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Radius of Curve given Chord offset for Chord of Length

Formula

`"R"_{"c"} = "L"_{"c"}^2/"b"`

Example

`"130.0597m"=("140m")^2/"150.7m"`

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Radius of Curve given Chord offset for Chord of Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circular Curve = Length of Curve^2/Chord Offset
R_c = L_c^2/b
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 140 Meter --> 140 Meter No Conversion Required
Chord Offset: 150.7 Meter --> 150.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_c = L_c^2/b --> 140^2/150.7

Evaluating ... ...

R_c = 130.059721300597

STEP 3: Convert Result to Output's Unit

130.059721300597 Meter --> No Conversion Required

FINAL ANSWER

130.059721300597 ≈ 130.0597 Meter <-- Radius of Circular Curve

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Indian Institute of Information Technology (IIIT), Bhopal

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< 25 Circular Curves on Highways and Roads Calculators

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

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))

Tangent Offset for Chord of Length

Go Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve)

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

Radius of Curve given Chord offset for Chord of Length Formula

Radius of Circular Curve = Length of Curve^2/Chord Offset
R_c = L_c^2/b

What is chord offset?

Chord offset is defined as a point on the curve is fixed by taking offset from the tangent taken at the rear point of a chord.

How to Calculate Radius of Curve given Chord offset for Chord of Length?

Radius of Curve given Chord offset for Chord of Length calculator uses Radius of Circular Curve = Length of Curve^2/Chord Offset to calculate the Radius of Circular Curve, The Radius of Curve given Chord offset for Chord of Length can be defined as the absolute value of the reciprocal of the curvature at a point on a curve. Radius of Circular Curve is denoted by R_c symbol.

How to calculate Radius of Curve given Chord offset for Chord of Length using this online calculator? To use this online calculator for Radius of Curve given Chord offset for Chord of Length, enter Length of Curve (L_c) & Chord Offset (b) and hit the calculate button. Here is how the Radius of Curve given Chord offset for Chord of Length calculation can be explained with given input values -> 131.5436 = 140^2/150.7.

FAQ

What is Radius of Curve given Chord offset for Chord of Length?

The Radius of Curve given Chord offset for Chord of Length can be defined as the absolute value of the reciprocal of the curvature at a point on a curve and is represented as R_c = L_c^2/b or Radius of Circular Curve = Length of Curve^2/Chord Offset. Length of curve is defined as the arc length in a parabolic curves & Chord offset can be described as the offsets for chord of length.

How to calculate Radius of Curve given Chord offset for Chord of Length?

The Radius of Curve given Chord offset for Chord of Length can be defined as the absolute value of the reciprocal of the curvature at a point on a curve is calculated using Radius of Circular Curve = Length of Curve^2/Chord Offset. To calculate Radius of Curve given Chord offset for Chord of Length, you need Length of Curve (L_c) & Chord Offset (b). With our tool, you need to enter the respective value for Length of Curve & Chord Offset 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 Radius of Circular Curve?

In this formula, Radius of Circular Curve uses Length of Curve & Chord Offset. We can use 8 other way(s) to calculate the same, which is/are as follows -

Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi))
Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Radius of Circular Curve = Tangent Distance/(sin(1/2)*(Central Angle of Curve))
Radius of Circular Curve = External Distance/((sec(1/2)*(Central Angle of Curve*(180/pi)))-1)
Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve)))
Radius of Circular Curve = Length of long Chord/(2*sin(1/2)*(Central Angle of Curve))
Radius of Circular Curve = Length of Curve^2/(2*Tangent Offset)

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