Degree of Curve for given Length of Curve Solution

STEP 0: Pre-Calculation Summary
Formula Used
Degree of Curve = (100*Central Angle of Curve)/Length of Curve
D = (100*I)/Lc
This formula uses 3 Variables
Variables Used
Degree of Curve - (Measured in Radian) - Degree of Curve can be described as the angle of the road curve.
Central Angle of Curve - (Measured in Radian) - Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
STEP 1: Convert Input(s) to Base Unit
Central Angle of Curve: 40 Degree --> 0.698131700797601 Radian (Check conversion ​here)
Length of Curve: 140 Meter --> 140 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (100*I)/Lc --> (100*0.698131700797601)/140
Evaluating ... ...
D = 0.498665500569715
STEP 3: Convert Result to Output's Unit
0.498665500569715 Radian -->28.5714285714286 Degree (Check conversion ​here)
FINAL ANSWER
28.5714285714286 28.57143 Degree <-- Degree 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))

Degree of Curve for given Length of Curve Formula

​LaTeX ​Go
Degree of Curve = (100*Central Angle of Curve)/Length of Curve
D = (100*I)/Lc

What is length of curve?

Length of curve is defined as the distance from point of curvature, beginning of curve to point of tangency, end of curve.

How to Calculate Degree of Curve for given Length of Curve?

Degree of Curve for given Length of Curve calculator uses Degree of Curve = (100*Central Angle of Curve)/Length of Curve to calculate the Degree of Curve, Degree of Curve for given Length of Curve can be defined as a measure of the curvature of a circular arc. Degree of Curve is denoted by D symbol.

How to calculate Degree of Curve for given Length of Curve using this online calculator? To use this online calculator for Degree of Curve for given Length of Curve, enter Central Angle of Curve (I) & Length of Curve (Lc) and hit the calculate button. Here is how the Degree of Curve for given Length of Curve calculation can be explained with given input values -> 1637.022 = (100*0.698131700797601)/140.

FAQ

What is Degree of Curve for given Length of Curve?
Degree of Curve for given Length of Curve can be defined as a measure of the curvature of a circular arc and is represented as D = (100*I)/Lc or Degree of Curve = (100*Central Angle of Curve)/Length of Curve. Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents & Length of curve is defined as the arc length in a parabolic curves.
How to calculate Degree of Curve for given Length of Curve?
Degree of Curve for given Length of Curve can be defined as a measure of the curvature of a circular arc is calculated using Degree of Curve = (100*Central Angle of Curve)/Length of Curve. To calculate Degree of Curve for given Length of Curve, you need Central Angle of Curve (I) & Length of Curve (Lc). With our tool, you need to enter the respective value for Central Angle of Curve & Length of 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 Degree of Curve?
In this formula, Degree of Curve uses Central Angle of Curve & Length of Curve. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180)
  • Degree of Curve = (100*Central Angle for Portion of Curve)/Length of Curve
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