Height of Obstruction Given Angle Grades Calculator

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Vertical alignment

Design of Transition Curves and Setback Distances

Design of Superelevation

Marshall Mix Design

Pavement Materials

Sight Distance

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Length of Summit Curve with Grade Angles

Length of Summit Curve greater than Sight Distance

Length of Summit Curve Less than Sight Distance

Length of Valley Curve

✖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.ⓘ Sight Distance [S]			+10% -10%
✖Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.ⓘ Length of Curve [L_s]			+10% -10%
✖Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.ⓘ Driver Sight Height [h₁]			+10% -10%
✖A positive grade angle indicates an upward slope.ⓘ Positive Grade Angle [n₁]			+10% -10%
✖A negative grade angle indicates an incline slope.ⓘ Negative Grade Angle [n₂]			+10% -10%

✖The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety.ⓘ Height of Obstruction Given Angle Grades [h₂]

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Formula

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Height of Obstruction Given Angle Grades

Formula

`"h"_{"2"} = ("S"-"L"_{"s"}/2-"h"_{"1"}/"n"_{"1"})*"n"_{"2"}`

Example

`"40.27183m"=("3.56m"-"7m"/2-"0.75m"/"45°")*"-45"`

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Height of Obstruction Given Angle Grades Solution

STEP 0: Pre-Calculation Summary

Formula Used

The Height of The Obstruction = (Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)*Negative Grade Angle
h₂ = (S-L_s/2-h₁/n₁)*n₂
This formula uses 6 Variables

Variables Used

The Height of The Obstruction - (Measured in Meter) - The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety.
Sight Distance - (Measured in Meter) - 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.
Length of Curve - (Measured in Meter) - Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.
Driver Sight Height - (Measured in Meter) - Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.
Positive Grade Angle - (Measured in Radian) - A positive grade angle indicates an upward slope.
Negative Grade Angle - A negative grade angle indicates an incline slope.

STEP 1: Convert Input(s) to Base Unit

Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required
Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Driver Sight Height: 0.75 Meter --> 0.75 Meter No Conversion Required
Positive Grade Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Negative Grade Angle: -45 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h₂ = (S-L_s/2-h₁/n₁)*n₂ --> (3.56-7/2-0.75/0.785398163397301)*(-45)

Evaluating ... ...

h₂ = 40.2718346348198

STEP 3: Convert Result to Output's Unit

40.2718346348198 Meter --> No Conversion Required

FINAL ANSWER

40.2718346348198 ≈ 40.27183 Meter <-- The Height of The Obstruction

(Calculation completed in 00.004 seconds)

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Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

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< 8 Length of Summit Curve with Grade Angles Calculators

Positive Grade Angle with Deviation Angle

Go Positive Grade Angle = (Deviation Angle*sqrt(Driver Sight Height*The Height of The Obstruction)-Deviation Angle*Driver Sight Height)/(The Height of The Obstruction-Driver Sight Height)

Deviation Angle with Positive Grade Angle

Go Deviation Angle = (Positive Grade Angle*(The Height of The Obstruction-Driver Sight Height))/(sqrt(Driver Sight Height*The Height of The Obstruction)-Driver Sight Height)

Negative Grade Angle Given Sight Distance

Go Negative Grade Angle = The Height of The Obstruction/(Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)

Positive Grade Angle Given Sight Distance

Go Positive Grade Angle = Driver Sight Height/(Sight Distance-Length of Curve/2-The Height of The Obstruction/Negative Grade Angle)

Height of Obstruction Given Angle Grades

Go The Height of The Obstruction = (Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)*Negative Grade Angle

Length of Summit Curve Given Angle Grades

Go Length of Curve = Sight Distance*2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle

Driver Sight Height given Angle Grades

Go Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle

Sight Distance Given Angle Grades

Go Sight Distance = Length of Curve/2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle

Height of Obstruction Given Angle Grades Formula

The Height of The Obstruction = (Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)*Negative Grade Angle
h₂ = (S-L_s/2-h₁/n₁)*n₂

The Height of The Obstruction GIven Angle Grades

The height of an obstruction can be determined by adding half the length of the curve to the driver's eye height divided by the angle of an incline and the sight distance multiplied by the angle of a decline.

How to Calculate Height of Obstruction Given Angle Grades?

Height of Obstruction Given Angle Grades calculator uses The Height of The Obstruction = (Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)*Negative Grade Angle to calculate 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 calculate Height of Obstruction Given Angle Grades using this online calculator? To use this online calculator 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. Here is how the Height of Obstruction Given Angle Grades calculation can be explained with given input values -> 40.27183 = (3.56-7/2-0.75/0.785398163397301)*(-45).

FAQ

What is Height of Obstruction Given Angle Grades?

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 and is represented as h₂ = (S-L_s/2-h₁/n₁)*n₂ or The Height of The Obstruction = (Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)*Negative Grade Angle. 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, Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave, Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle, A positive grade angle indicates an upward slope & A negative grade angle indicates an incline slope.

How to calculate Height of Obstruction Given Angle Grades?

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 is calculated using The Height of The Obstruction = (Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle)*Negative Grade Angle. To calculate Height of Obstruction Given Angle Grades, you need Sight Distance (S), Length of Curve (L_s), Driver Sight Height (h₁), Positive Grade Angle (n₁) & Negative Grade Angle (n₂). With our tool, you need to enter the respective value for Sight Distance, Length of Curve, Driver Sight Height, Positive Grade Angle & Negative Grade Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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