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Driver Sight Height given Angle Grades Formula

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

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

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

Driver Sight Height given Angle Grades Example

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Here is how the Driver Sight Height given Angle Grades equation looks like with Values.

Here is how the Driver Sight Height given Angle Grades equation looks like with Units.

Here is how the Driver Sight Height given Angle Grades equation looks like.

6.288 = \frac{7}{2} + 3.56 \cdot 45 + \frac{0.36}{-45}

6.288m = \frac{7m}{2} + 3.56m \cdot 45° + \frac{0.36m}{-45}

6.288 = \frac{7}{2} + 3.56 \cdot 45 + \frac{0.36}{-45}

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Driver Sight Height given Angle Grades Solution

Follow our step by step solution on how to calculate Driver Sight Height given Angle Grades?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h 1 = \frac{7m}{2} + 3.56m \cdot 45° + \frac{0.36m}{-45}

Next Step Convert Units

∴

h 1 = \frac{7m}{2} + 3.56m \cdot 0.7854rad + \frac{0.36m}{-45}

Next Step Prepare to Evaluate

∴

h 1 = \frac{7}{2} + 3.56 \cdot 0.7854 + \frac{0.36}{-45}

Next Step Evaluate

∴

h 1 = 6.28801746169439m

LAST Step Rounding Answer

∴

h 1 = 6.288m

Driver Sight Height given Angle Grades Formula Elements

Variables

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

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

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

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 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}}

Go Positive Grade Angle Given Sight Distance

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

How to Evaluate Driver Sight Height given Angle Grades?

Driver Sight Height given Angle Grades evaluator uses Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle to evaluate the Driver Sight Height, Driver Sight Height given Angle Grades formula is determined by half the length of the curve added to the sight distance multiplied by the positive grade angle, further added to the height of the obstruction divided by the negative grade angle. Driver Sight Height is denoted by h₁ symbol.

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

FAQs on Driver Sight Height given Angle Grades

What is the formula to find Driver Sight Height given Angle Grades?

The formula of Driver Sight Height given Angle Grades is expressed as Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle. Here is an example- 6.288017 = 7/2+3.56*0.785398163397301+0.36/(-45).

How to calculate Driver Sight Height given Angle Grades?

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

Can the Driver Sight Height given Angle Grades be negative?

No, the Driver Sight Height given Angle Grades, measured in Length cannot be negative.

Which unit is used to measure Driver Sight Height given Angle Grades?

Driver Sight Height 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 Driver Sight Height given Angle Grades can be measured.

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Driver Sight Height given Angle Grades Formula

Driver Sight Height given Angle Grades Example

Driver Sight Height given Angle Grades Solution

Driver Sight Height given Angle Grades Formula Elements

Other formulas in Length of Summit Curve with Grade Angles category

How to Evaluate Driver Sight Height given Angle Grades?

FAQs on Driver Sight Height given Angle Grades

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