Radius of Curve given Length of Curve and Deviation Angle Calculator

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Vertical alignment

Design of Transition Curves and Setback Distances

Design of Superelevation

Marshall Mix Design

Pavement Materials

Sight Distance

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Length of Summit Curve greater than Sight Distance

Length of Summit Curve Less than Sight Distance

Length of Summit Curve with Grade Angles

Length of Valley Curve

✖Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.ⓘ Length of Curve [L_s]			+10% -10%
✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle [N]			+10% -10%

✖Radius of Curve typically represents the minimum radius of the curve.ⓘ Radius of Curve given Length of Curve and Deviation Angle [R]

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Formula

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Radius of Curve given Length of Curve and Deviation Angle

Formula

`"R" = "L"_{"s"}/"N"`

Example

`"7.954545m"="7m"/"0.88rad"`

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Radius of Curve given Length of Curve and Deviation Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Curve = Length of Curve/Deviation Angle
R = L_s/N
This formula uses 3 Variables

Variables Used

Radius of Curve - (Measured in Meter) - Radius of Curve typically represents the minimum radius of the curve.
Length of Curve - (Measured in Meter) - Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.
Deviation Angle - (Measured in Radian) - Deviation Angle is the angle between the reference direction and the observed direction.

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Deviation Angle: 0.88 Radian --> 0.88 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = L_s/N --> 7/0.88

Evaluating ... ...

R = 7.95454545454545

STEP 3: Convert Result to Output's Unit

7.95454545454545 Meter --> No Conversion Required

FINAL ANSWER

7.95454545454545 ≈ 7.954545 Meter <-- Radius of Curve

(Calculation completed in 00.004 seconds)

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< 6 Length of Summit Curve greater than Sight Distance Calculators

Sight Distance given Length of Summit Curve

Go Sight Distance = sqrt((2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Deviation Angle)

Length of Summit Curve given Deviation Angle and Sight Distance

Go Length of Curve = (Deviation Angle*Sight Distance^2)/(2*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)

Deviation Angle given Length of Summit Curve

Go Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2

Radius of Curve given Length of Curve and Deviation Angle

Go Radius of Curve = Length of Curve/Deviation Angle

Deviation Angle given Length of Curve and Radius of Curve

Go Deviation Angle = Length of Curve/Radius of Curve

Length of Curve given Radius of Curve and Deviation Angle

Go Length of Curve = Radius of Curve*Deviation Angle

Radius of Curve given Length of Curve and Deviation Angle Formula

Radius of Curve = Length of Curve/Deviation Angle
R = L_s/N

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The radius in this context helps in understanding the curvature of the parabolic segment, with a shorter radius indicating a tighter curve and a larger radius signifying a more gradual curve. This relationship simplifies the task of determining the radius of a cubic parabola for a specific segment length, making it a valuable tool in fields like mathematics, engineering, and geometry.

How to Calculate Radius of Curve given Length of Curve and Deviation Angle?

Radius of Curve given Length of Curve and Deviation Angle calculator uses Radius of Curve = Length of Curve/Deviation Angle to calculate the Radius of Curve, The Radius of Curve given Length of Curve and Deviation Angle formula is defined as the ratio of the length of the curve and the deviation angle. Radius of Curve is denoted by R symbol.

How to calculate Radius of Curve given Length of Curve and Deviation Angle using this online calculator? To use this online calculator for Radius of Curve given Length of Curve and Deviation Angle, enter Length of Curve (L_s) & Deviation Angle (N) and hit the calculate button. Here is how the Radius of Curve given Length of Curve and Deviation Angle calculation can be explained with given input values -> 7.954545 = 7/0.88.

FAQ

What is Radius of Curve given Length of Curve and Deviation Angle?

The Radius of Curve given Length of Curve and Deviation Angle formula is defined as the ratio of the length of the curve and the deviation angle and is represented as R = L_s/N or Radius of Curve = Length of Curve/Deviation Angle. Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave & Deviation Angle is the angle between the reference direction and the observed direction.

How to calculate Radius of Curve given Length of Curve and Deviation Angle?

The Radius of Curve given Length of Curve and Deviation Angle formula is defined as the ratio of the length of the curve and the deviation angle is calculated using Radius of Curve = Length of Curve/Deviation Angle. To calculate Radius of Curve given Length of Curve and Deviation Angle, you need Length of Curve (L_s) & Deviation Angle (N). With our tool, you need to enter the respective value for Length of Curve & Deviation Angle 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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