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Deviation Angle given Length of Summit Curve Formula

GoDeviation Angle given Length of Curve and Radius of Curve Formula

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Deviation Angle is the angle between the reference direction and the observed direction. Check FAQs

N = \frac{2 \cdot L s \cdot {(\sqrt{h 1} + \sqrt{h 2})}^{2}}{S^{2}}

N - Deviation Angle?L_s - Length of Curve?h₁ - Driver Sight Height?h₂ - The Height of The Obstruction?S - Sight Distance?

Deviation Angle given Length of Summit Curve Example

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Here is how the Deviation Angle given Length of Summit Curve equation looks like with Values.

Here is how the Deviation Angle given Length of Summit Curve equation looks like with Units.

Here is how the Deviation Angle given Length of Summit Curve equation looks like.

2.3742 = \frac{2 \cdot 7 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}{{3.56}^{2}}

2.3742rad = \frac{2 \cdot 7m \cdot {(\sqrt{0.75m} + \sqrt{0.36m})}^{2}}{{3.56m}^{2}}

2.3742 = \frac{2 \cdot 7 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}{{3.56}^{2}}

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Deviation Angle given Length of Summit Curve Solution

Follow our step by step solution on how to calculate Deviation Angle given Length of Summit Curve?

FIRST Step Consider the formula

N = \frac{2 \cdot L s \cdot {(\sqrt{h 1} + \sqrt{h 2})}^{2}}{S^{2}}

Next Step Substitute values of Variables

∴

N = \frac{2 \cdot 7m \cdot {(\sqrt{0.75m} + \sqrt{0.36m})}^{2}}{{3.56m}^{2}}

Next Step Prepare to Evaluate

∴

N = \frac{2 \cdot 7 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}{{3.56}^{2}}

Next Step Evaluate

∴

N = 2.37416572904136rad

LAST Step Rounding Answer

∴

N = 2.3742rad

Deviation Angle given Length of Summit Curve Formula Elements

Variables

Functions

Deviation Angle

Deviation Angle is the angle between the reference direction and the observed direction.

Symbol: N

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Deviation Angle

Length 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.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Driver Sight Height

Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Driver Sight Height

The Height of The Obstruction

The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find The Height of The Obstruction

Sight Distance

Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sight Distance

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Deviation Angle

Go Deviation Angle given Length of Curve and Radius of Curve

N = \frac{L s}{R}

Other formulas in Length of Summit Curve greater than Sight Distance category

Go Sight Distance given Length of Summit Curve

S = \sqrt{\frac{2 \cdot L s \cdot {(\sqrt{h 1} + \sqrt{h 2})}^{2}}{N}}

Go Radius of Curve given Length of Curve and Deviation Angle

R = \frac{L s}{N}

Go Length of Summit Curve given Deviation Angle and Sight Distance

L s = \frac{N \cdot S^{2}}{2 \cdot {(\sqrt{h 1} + \sqrt{h 2})}^{2}}

Go Length of Curve given Radius of Curve and Deviation Angle

L s = R \cdot N

How to Evaluate Deviation Angle given Length of Summit Curve?

Deviation Angle given Length of Summit Curve evaluator uses Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2 to evaluate the Deviation Angle, Deviation Angle given Length of Summit Curve formula is defined as twice the curve length by the sum of the square roots of driver's eye height and obstruction height, all divided by the square of the sight distance. Deviation Angle is denoted by N symbol.

How to evaluate Deviation Angle given Length of Summit Curve using this online evaluator? To use this online evaluator for Deviation Angle given Length of Summit Curve, enter Length of Curve (L_s), Driver Sight Height (h₁), The Height of The Obstruction (h₂) & Sight Distance (S) and hit the calculate button.

FAQs on Deviation Angle given Length of Summit Curve

What is the formula to find Deviation Angle given Length of Summit Curve?

The formula of Deviation Angle given Length of Summit Curve is expressed as Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2. Here is an example- 6.270909 = (2*7*(sqrt(0.75)+sqrt(0.36))^2)/3.56^2.

How to calculate Deviation Angle given Length of Summit Curve?

With Length of Curve (L_s), Driver Sight Height (h₁), The Height of The Obstruction (h₂) & Sight Distance (S) we can find Deviation Angle given Length of Summit Curve using the formula - Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Deviation Angle?

Here are the different ways to Calculate Deviation Angle-

Deviation Angle=Length of Curve/Radius of Curve

Can the Deviation Angle given Length of Summit Curve be negative?

No, the Deviation Angle given Length of Summit Curve, measured in Angle cannot be negative.

Which unit is used to measure Deviation Angle given Length of Summit Curve?

Deviation Angle given Length of Summit Curve is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Deviation Angle given Length of Summit Curve can be measured.

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Deviation Angle given Length of Summit Curve Formula

​GoDeviation Angle given Length of Curve and Radius of Curve Formula

Deviation Angle given Length of Summit Curve Example

Deviation Angle given Length of Summit Curve Solution

Deviation Angle given Length of Summit Curve Formula Elements

Other Formulas to find Deviation Angle

Other formulas in Length of Summit Curve greater than Sight Distance category

How to Evaluate Deviation Angle given Length of Summit Curve?

FAQs on Deviation Angle given Length of Summit Curve

Variable Name

GoDeviation Angle given Length of Curve and Radius of Curve Formula