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Deviation Angle given Length of Summit Curve Less than Sight Distance Formula

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

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

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

Deviation Angle given Length of Summit Curve Less than Sight Distance Example

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

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

Here is how the Deviation Angle given Length of Summit Curve Less than Sight Distance equation looks like.

6.5059 = 2 \cdot 3.56 - \frac{{(\sqrt{2 \cdot 0.75} + \sqrt{2 \cdot 0.36})}^{2}}{7}

6.5059rad = 2 \cdot 3.56m - \frac{{(\sqrt{2 \cdot 0.75m} + \sqrt{2 \cdot 0.36m})}^{2}}{7m}

6.5059 = 2 \cdot 3.56 - \frac{{(\sqrt{2 \cdot 0.75} + \sqrt{2 \cdot 0.36})}^{2}}{7}

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Deviation Angle given Length of Summit Curve Less than Sight Distance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

N = 6.50593414727391rad

LAST Step Rounding Answer

∴

N = 6.5059rad

Deviation Angle given Length of Summit Curve Less than Sight Distance 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

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

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

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

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 in Length of Summit Curve Less than Sight Distance category

Go Length of Summit Curve Less than Sight Distance

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

Go Sight Distance More than Length of Summit Curve

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

How to Evaluate Deviation Angle given Length of Summit Curve Less than Sight Distance?

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

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

FAQs on Deviation Angle given Length of Summit Curve Less than Sight Distance

What is the formula to find Deviation Angle given Length of Summit Curve Less than Sight Distance?

The formula of Deviation Angle given Length of Summit Curve Less than Sight Distance is expressed as Deviation Angle = 2*Sight Distance-((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/Length of Curve. Here is an example- 5.498061 = 2*3.56-((sqrt(2*0.75)+sqrt(2*0.36))^2)/7.

How to calculate Deviation Angle given Length of Summit Curve Less than Sight Distance?

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

Can the Deviation Angle given Length of Summit Curve Less than Sight Distance be negative?

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

Which unit is used to measure Deviation Angle given Length of Summit Curve Less than Sight Distance?

Deviation Angle given Length of Summit Curve Less than Sight Distance 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 Less than Sight Distance can be measured.

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Deviation Angle given Length of Summit Curve Less than Sight Distance Formula

Deviation Angle given Length of Summit Curve Less than Sight Distance Example

Deviation Angle given Length of Summit Curve Less than Sight Distance Solution

Deviation Angle given Length of Summit Curve Less than Sight Distance Formula Elements

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

How to Evaluate Deviation Angle given Length of Summit Curve Less than Sight Distance?

FAQs on Deviation Angle given Length of Summit Curve Less than Sight Distance

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