Approximate 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%
✖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%

✖Chord offset can be described as the offsets for chord of length.ⓘ Approximate Chord Offset for Chord of Length [b]

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Formula

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Approximate Chord Offset for Chord of Length

Formula

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

Example

`"150.7692m"=("140m")^2/"130m"`

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Approximate Chord Offset for Chord of Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Chord Offset - (Measured in Meter) - Chord offset can be described as the offsets for chord of length.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
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

Length of Curve: 140 Meter --> 140 Meter No Conversion Required
Radius of Circular Curve: 130 Meter --> 130 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = L_c^2/R_c --> 140^2/130

Evaluating ... ...

b = 150.769230769231

STEP 3: Convert Result to Output's Unit

150.769230769231 Meter --> No Conversion Required

FINAL ANSWER

150.769230769231 ≈ 150.7692 Meter <-- Chord Offset

(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

Approximate Chord Offset for Chord of Length Formula

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

What is radius of curve?

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

What is length of curve?

Length of curve can be defined as the length of curve (chord) determined by central angle in a circular curve offsets.

How to Calculate Approximate Chord Offset for Chord of Length?

Approximate Chord Offset for Chord of Length calculator uses Chord Offset = Length of Curve^2/Radius of Circular Curve to calculate the Chord Offset, Approximate Chord Offset for Chord of Length can be defined as a point on the curve is fixed by taking offset from the tangent taken at the rear point of a chord. Chord Offset is denoted by b symbol.

How to calculate Approximate Chord Offset for Chord of Length using this online calculator? To use this online calculator for Approximate Chord Offset for Chord of Length, enter Length of Curve (L_c) & Radius of Circular Curve (R_c) and hit the calculate button. Here is how the Approximate Chord Offset for Chord of Length calculation can be explained with given input values -> 150.7692 = 140^2/130.

FAQ

What is Approximate Chord Offset for Chord of Length?

Approximate Chord Offset for Chord of Length can be defined as a point on the curve is fixed by taking offset from the tangent taken at the rear point of a chord and is represented as b = L_c^2/R_c or Chord Offset = Length of Curve^2/Radius of Circular Curve. Length of curve is defined as the arc length in a parabolic curves & Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Approximate Chord Offset for Chord of Length?

Approximate Chord Offset for Chord of Length can be defined as a point on the curve is fixed by taking offset from the tangent taken at the rear point of a chord is calculated using Chord Offset = Length of Curve^2/Radius of Circular Curve. To calculate Approximate Chord Offset for Chord of Length, you need Length of Curve (L_c) & Radius of Circular Curve (R_c). With our tool, you need to enter the respective value for Length of Curve & 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.

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