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Sight Distance Given Angle Grades Formula

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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. Check FAQs

S = \frac{L s}{2} + \frac{h 1}{n 1} + \frac{h 2}{n 2}

S - Sight Distance?L_s - Length of Curve?h₁ - Driver Sight Height?n₁ - Positive Grade Angle?h₂ - The Height of The Obstruction?n₂ - Negative Grade Angle?

Sight Distance Given Angle Grades Example

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Here is how the Sight Distance Given Angle Grades equation looks like with Values.

Here is how the Sight Distance Given Angle Grades equation looks like with Units.

Here is how the Sight Distance Given Angle Grades equation looks like.

4.4469 = \frac{7}{2} + \frac{0.75}{45} + \frac{0.36}{-45}

4.4469m = \frac{7m}{2} + \frac{0.75m}{45°} + \frac{0.36m}{-45}

4.4469 = \frac{7}{2} + \frac{0.75}{45} + \frac{0.36}{-45}

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Sight Distance Given Angle Grades Solution

Follow our step by step solution on how to calculate Sight Distance Given Angle Grades?

FIRST Step Consider the formula

S = \frac{L s}{2} + \frac{h 1}{n 1} + \frac{h 2}{n 2}

Next Step Substitute values of Variables

∴

S = \frac{7m}{2} + \frac{0.75m}{45°} + \frac{0.36m}{-45}

Next Step Convert Units

∴

S = \frac{7m}{2} + \frac{0.75m}{0.7854rad} + \frac{0.36m}{-45}

Next Step Prepare to Evaluate

∴

S = \frac{7}{2} + \frac{0.75}{0.7854} + \frac{0.36}{-45}

Next Step Evaluate

∴

S = 4.44692965855155m

LAST Step Rounding Answer

∴

S = 4.4469m

Sight Distance Given Angle Grades Formula Elements

Variables

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

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

Positive Grade Angle

A positive grade angle indicates an upward slope.

Symbol: n₁

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Positive Grade Angle

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

Negative Grade Angle

A negative grade angle indicates an incline slope.

Symbol: n₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Negative Grade Angle

Other formulas in Length of Summit Curve with Grade Angles category

Go Height of Obstruction Given Angle Grades

h 2 = (S - \frac{L s}{2} - \frac{h 1}{n 1}) \cdot n 2

Go Driver Sight Height given Angle Grades

h 1 = \frac{L s}{2} + S \cdot n 1 + \frac{h 2}{n 2}

Go Length of Summit Curve Given Angle Grades

L s = S \cdot 2 + \frac{h 1}{n 1} + \frac{h 2}{n 2}

Go Negative Grade Angle Given Sight Distance

n 2 = \frac{h 2}{S - \frac{L s}{2} - \frac{h 1}{n 1}}

How to Evaluate Sight Distance Given Angle Grades?

Sight Distance Given Angle Grades evaluator uses Sight Distance = Length of Curve/2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle to evaluate the Sight Distance, The Sight Distance Given Angle Grades formula is calculated as half the length of the curve plus the driver's eye height divided by the positive grade angle added to the height of the obstruction divided by the negative grade angle. Sight Distance is denoted by S symbol.

How to evaluate Sight Distance Given Angle Grades using this online evaluator? To use this online evaluator for Sight Distance Given Angle Grades, enter Length of Curve (L_s), Driver Sight Height (h₁), Positive Grade Angle (n₁), The Height of The Obstruction (h₂) & Negative Grade Angle (n₂) and hit the calculate button.

FAQs on Sight Distance Given Angle Grades

What is the formula to find Sight Distance Given Angle Grades?

The formula of Sight Distance Given Angle Grades is expressed as Sight Distance = Length of Curve/2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle. Here is an example- 4.44693 = 7/2+0.75/0.785398163397301+0.36/(-45).

How to calculate Sight Distance Given Angle Grades?

With Length of Curve (L_s), Driver Sight Height (h₁), Positive Grade Angle (n₁), The Height of The Obstruction (h₂) & Negative Grade Angle (n₂) we can find Sight Distance Given Angle Grades using the formula - Sight Distance = Length of Curve/2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle.

Can the Sight Distance Given Angle Grades be negative?

No, the Sight Distance Given Angle Grades, measured in Length cannot be negative.

Which unit is used to measure Sight Distance Given Angle Grades?

Sight Distance Given Angle Grades is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sight Distance Given Angle Grades can be measured.

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Sight Distance Given Angle Grades Formula

Sight Distance Given Angle Grades Example

Sight Distance Given Angle Grades Solution

Sight Distance Given Angle Grades Formula Elements

Other formulas in Length of Summit Curve with Grade Angles category

How to Evaluate Sight Distance Given Angle Grades?

FAQs on Sight Distance Given Angle Grades

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