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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Circular Curves on Highways and Roads Formulas PDF PDF Image

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 00.007 seconds)

You are here -

Home » Engineering » Civil » Transportation Engineering » Highway Engineering » Highway and Road » Circular Curves on Highways and Roads » Radius of Curve given Chord offset for Chord of Length

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 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 Chord offset for Chord of Length Formula

LaTeX Go

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 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))

Home

FREE PDFs

🔍 Search