Length of Curve given Radius 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

✖Radius of Curve typically represents the minimum radius of the curve.ⓘ Radius of Curve [R]			+10% -10%
✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle [N]			+10% -10%

✖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 given Radius of Curve and Deviation Angle [L_s]

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Formula

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Length of Curve given Radius of Curve and Deviation Angle

Formula

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

Example

`"2.0592m"="2.34m"*"0.88rad"`

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Length of Curve given Radius of Curve and Deviation Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Radius of Curve - (Measured in Meter) - Radius of Curve typically represents the minimum radius of the curve.
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

Radius of Curve: 2.34 Meter --> 2.34 Meter No Conversion Required
Deviation Angle: 0.88 Radian --> 0.88 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = R*N --> 2.34*0.88

Evaluating ... ...

L_s = 2.0592

STEP 3: Convert Result to Output's Unit

2.0592 Meter --> No Conversion Required

FINAL ANSWER

2.0592 Meter <-- Length 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

Length of Curve given Radius of Curve and Deviation Angle Formula

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

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

Length of Curve given Radius of Curve and Deviation Angle calculator uses Length of Curve = Radius of Curve*Deviation Angle to calculate the Length of Curve, The Length of Curve given Radius of Curve and Deviation Angle formula is defined as the product of the radius of the curve and the deviation angle. Length of Curve is denoted by L_s symbol.

How to calculate Length of Curve given Radius of Curve and Deviation Angle using this online calculator? To use this online calculator for Length of Curve given Radius of Curve and Deviation Angle, enter Radius of Curve (R) & Deviation Angle (N) and hit the calculate button. Here is how the Length of Curve given Radius of Curve and Deviation Angle calculation can be explained with given input values -> 4.6992 = 2.34*0.88.

FAQ

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

The Length of Curve given Radius of Curve and Deviation Angle formula is defined as the product of the radius of the curve and the deviation angle and is represented as L_s = R*N or Length of Curve = Radius of Curve*Deviation Angle. Radius of Curve typically represents the minimum radius of the curve & Deviation Angle is the angle between the reference direction and the observed direction.

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

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

How many ways are there to calculate Length of Curve?

In this formula, Length of Curve uses Radius of Curve & Deviation Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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