FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Height of Obstruction Given Angle Grades Formula

Fx Copy

LaTeX Copy

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

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

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

Height of Obstruction Given Angle Grades Example

With values

With units

Only example

Here is how the Height of Obstruction Given Angle Grades equation looks like with Values.

Here is how the Height of Obstruction Given Angle Grades equation looks like with Units.

Here is how the Height of Obstruction Given Angle Grades equation looks like.

40.2718 = (3.56 - \frac{7}{2} - \frac{0.75}{45}) \cdot -45

40.2718m = (3.56m - \frac{7m}{2} - \frac{0.75m}{45°}) \cdot -45

40.2718 = (3.56 - \frac{7}{2} - \frac{0.75}{45}) \cdot -45

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Transportation System » fx Height of Obstruction Given Angle Grades

Height of Obstruction Given Angle Grades Solution

Follow our step by step solution on how to calculate Height of Obstruction Given Angle Grades?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h 2 = (3.56m - \frac{7m}{2} - \frac{0.75m}{45°}) \cdot -45

Next Step Convert Units

∴

h 2 = (3.56m - \frac{7m}{2} - \frac{0.75m}{0.7854rad}) \cdot -45

Next Step Prepare to Evaluate

∴

h 2 = (3.56 - \frac{7}{2} - \frac{0.75}{0.7854}) \cdot -45

Next Step Evaluate

∴

h 2 = 40.2718346348198m

LAST Step Rounding Answer

∴

h 2 = 40.2718m

Height of Obstruction Given Angle Grades Formula Elements

Variables

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

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

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 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}}

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 Height of Obstruction Given Angle Grades?

Height of Obstruction Given Angle Grades evaluator uses The Height of The Obstruction = (Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)*Negative Grade Angle to evaluate the The Height of The Obstruction, Height of Obstruction Given Angle Grades formula is defined as the sum of half the length of the curve, the driver's eye height divided by the angle of an upward slope, and the sight distance multiplied by the angle of a downward slope. The Height of The Obstruction is denoted by h₂ symbol.

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

FAQs on Height of Obstruction Given Angle Grades

What is the formula to find Height of Obstruction Given Angle Grades?

The formula of Height of Obstruction Given Angle Grades is expressed as The Height of The Obstruction = (Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)*Negative Grade Angle. Here is an example- 40.27183 = (3.56-7/2-0.75/0.785398163397301)*(-45).

How to calculate Height of Obstruction Given Angle Grades?

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

Can the Height of Obstruction Given Angle Grades be negative?

No, the Height of Obstruction Given Angle Grades, measured in Length cannot be negative.

Which unit is used to measure Height of Obstruction Given Angle Grades?

Height of Obstruction 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 Height of Obstruction Given Angle Grades can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Height of Obstruction Given Angle Grades Formula

Height of Obstruction Given Angle Grades Example

Height of Obstruction Given Angle Grades Solution

Height of Obstruction Given Angle Grades Formula Elements

Other formulas in Length of Summit Curve with Grade Angles category

How to Evaluate Height of Obstruction Given Angle Grades?

FAQs on Height of Obstruction Given Angle Grades

Variable Name