Deviation Angle given Length of Curve and Radius of Curve 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%
✖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 given Length of Curve and Radius of Curve [N]

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Formula

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Deviation Angle given Length of Curve and Radius of Curve

Formula

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

Example

`"2.991453rad"="7m"/"2.34m"`

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Deviation Angle given Length of Curve and Radius of Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Deviation Angle - (Measured in Radian) - Deviation Angle is the angle between the reference direction and the observed direction.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Radius of Curve: 2.34 Meter --> 2.34 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = L_s/R --> 7/2.34

Evaluating ... ...

N = 2.99145299145299

STEP 3: Convert Result to Output's Unit

2.99145299145299 Radian --> No Conversion Required

FINAL ANSWER

2.99145299145299 ≈ 2.991453 Radian <-- Deviation Angle

(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

Deviation Angle given Length of Curve and Radius of Curve Formula

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

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

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

How to calculate Deviation Angle given Length of Curve and Radius of Curve using this online calculator? To use this online calculator for Deviation Angle given Length of Curve and Radius of Curve, enter Length of Curve (L_s) & Radius of Curve (R) and hit the calculate button. Here is how the Deviation Angle given Length of Curve and Radius of Curve calculation can be explained with given input values -> 1.310861 = 7/2.34.

FAQ

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

The Deviation Angle given Length of Curve and Radius of Curve formula is defined as the ratio of length of the curve and radius of the curve and is represented as N = L_s/R or Deviation Angle = Length of Curve/Radius of Curve. 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 typically represents the minimum radius of the curve.

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

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

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

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

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