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Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance Formula

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

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

N - Deviation Angle?L_s - Length of Curve?h₁ - Driver Sight Height?S - Sight Distance?α_angle - Inclination?

Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance Example

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Here is how the Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance equation looks like with Values.

Here is how the Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance equation looks like with Units.

Here is how the Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance equation looks like.

0.9658 = \frac{7 \cdot (2 \cdot 0.75 + 2 \cdot 3.56 \cdot \tan (2))}{{3.56}^{2}}

0.9658rad = \frac{7m \cdot (2 \cdot 0.75m + 2 \cdot 3.56m \cdot \tan (2°))}{{3.56m}^{2}}

0.9658 = \frac{7 \cdot (2 \cdot 0.75 + 2 \cdot 3.56 \cdot \tan (2))}{{3.56}^{2}}

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Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance Solution

Follow our step by step solution on how to calculate Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

N = \frac{7m \cdot (2 \cdot 0.75m + 2 \cdot 3.56m \cdot \tan (0.0349rad))}{{3.56m}^{2}}

Next Step Prepare to Evaluate

∴

N = \frac{7 \cdot (2 \cdot 0.75 + 2 \cdot 3.56 \cdot \tan (0.0349))}{{3.56}^{2}}

Next Step Evaluate

∴

N = 0.965822745823474rad

LAST Step Rounding Answer

∴

N = 0.9658rad

Deviation Angle given Length of Valley Curve Greater than Stopping 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

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

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

Inclination

Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.

Symbol: α_angle

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Inclination

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Length of Valley Curve greater than Stopping Sight Distance category

Go Length of Valley Curve Greater than Stopping Sight Distance

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

Go Inclination Angle given Length of Valley Curve Greater than Stopping Sight Distance

α angle = a \tan (\frac{N \cdot S^{2} - 2 \cdot h 1}{2 \cdot S \cdot L s})

Go Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance

h 1 = \frac{N \cdot S^{2} - 2 \cdot L s \cdot S \cdot \tan (α angle)}{2 \cdot L s}

How to Evaluate Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance?

Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance evaluator uses Deviation Angle = (Length of Curve*(2*Driver Sight Height+2*Sight Distance*tan(Inclination)))/Sight Distance^2 to evaluate the Deviation Angle, The Deviation Angle given Length of valley curve greater than stopping sight distance formula is defined as the product of the curve length multiplied by the sum of two times the driver's eye height and two times the sight distance, all divided by the square of the sight distance. Deviation Angle is denoted by N symbol.

How to evaluate Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance using this online evaluator? To use this online evaluator for Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance, enter Length of Curve (L_s), Driver Sight Height (h₁), Sight Distance (S) & Inclination (α_angle) and hit the calculate button.

FAQs on Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance

What is the formula to find Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance?

The formula of Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance is expressed as Deviation Angle = (Length of Curve*(2*Driver Sight Height+2*Sight Distance*tan(Inclination)))/Sight Distance^2. Here is an example- 0.965823 = (7*(2*0.75+2*3.56*tan(0.03490658503988)))/3.56^2.

How to calculate Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance?

With Length of Curve (L_s), Driver Sight Height (h₁), Sight Distance (S) & Inclination (α_angle) we can find Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance using the formula - Deviation Angle = (Length of Curve*(2*Driver Sight Height+2*Sight Distance*tan(Inclination)))/Sight Distance^2. This formula also uses Tangent (tan) function(s).

Can the Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance be negative?

No, the Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance, measured in Angle cannot be negative.

Which unit is used to measure Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance?

Deviation Angle given Length of Valley Curve Greater than Stopping 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 Valley Curve Greater than Stopping Sight Distance can be measured.

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Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance Formula

Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance Example

Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance Solution

Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance Formula Elements

Other formulas in Length of Valley Curve greater than Stopping Sight Distance category

How to Evaluate Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance?

FAQs on Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance

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