Radius of Curve given Tangent 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%
✖Tangent offset can be described as the offsets to circular curve.ⓘ Tangent Offset [a]			+10% -10%

✖Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve given Tangent offset for Chord of Length [R_c]

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Radius of Curve given Tangent offset for Chord of Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circular Curve = Length of Curve^2/(2*Tangent Offset)
R_c = L_c^2/(2*a)
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.
Tangent Offset - (Measured in Meter) - Tangent offset can be described as the offsets to circular curve.

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 140 Meter --> 140 Meter No Conversion Required
Tangent Offset: 75 Meter --> 75 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_c = L_c^2/(2*a) --> 140^2/(2*75)

Evaluating ... ...

R_c = 130.666666666667

STEP 3: Convert Result to Output's Unit

130.666666666667 Meter --> No Conversion Required

FINAL ANSWER

130.666666666667 ≈ 130.6667 Meter <-- Radius of Circular Curve

(Calculation completed in 00.016 seconds)

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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))

Radius of Curve given Tangent offset for Chord of Length Formula

LaTeX Go

Radius of Circular Curve = Length of Curve^2/(2*Tangent Offset)
R_c = L_c^2/(2*a)

What is tangent offset?

Tangent offsets is the distance measured from the point of curvature, beginning of curve to point of tangency, end of curve

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

Radius of Curve given Tangent offset for Chord of Length calculator uses Radius of Circular Curve = Length of Curve^2/(2*Tangent Offset) to calculate the Radius of Circular Curve, The Radius of Curve given Tangent offset for Chord of Length can be defined as the 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 Tangent offset for Chord of Length using this online calculator? To use this online calculator for Radius of Curve given Tangent offset for Chord of Length, enter Length of Curve (L_c) & Tangent Offset (a) and hit the calculate button. Here is how the Radius of Curve given Tangent offset for Chord of Length calculation can be explained with given input values -> 130.6667 = 140^2/(2*75).

FAQ

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

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

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

The Radius of Curve given Tangent offset for Chord of Length can be defined as the 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/(2*Tangent Offset). To calculate Radius of Curve given Tangent offset for Chord of Length, you need Length of Curve (L_c) & Tangent Offset (a). With our tool, you need to enter the respective value for Length of Curve & Tangent 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 & Tangent Offset. We can use 3 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))

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