Negative Grade Angle Given Sight Distance Calculator

✖The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety.ⓘ The Height of The Obstruction [h₂]			+10% -10%
✖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 Given Sight Distance [n₂]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Vertical alignment Formula PDF PDF Image

Negative Grade Angle Given Sight Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Negative Grade Angle - A negative grade angle indicates an incline slope.
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.

STEP 1: Convert Input(s) to Base Unit

The Height of The Obstruction: 0.36 Meter --> 0.36 Meter No Conversion Required
Sight Distance: 4.536929 Meter --> 4.536929 Meter No Conversion Required
Length of Curve: 8.953859 Meter --> 8.953859 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₂ = h₂/(S-L_s/2-h₁/n₁) --> 0.36/(4.536929-8.953859/2-0.75/0.785398163397301)

Evaluating ... ...

n₂ = -0.40226602775647

STEP 3: Convert Result to Output's Unit

-0.40226602775647 --> No Conversion Required

FINAL ANSWER

-0.40226602775647 ≈ -0.402266 <-- Negative Grade Angle

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Transportation System » Vertical alignment » Mechanical » Length of Summit Curve with Grade Angles » Negative Grade Angle Given Sight Distance

Credits

Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

Rahul has created this Calculator and 50+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< Length of Summit Curve with Grade Angles Calculators

Length of Summit Curve Given Angle Grades

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

Negative Grade Angle Given Sight Distance

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

Height of Obstruction Given Angle Grades

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

Driver Sight Height given Angle Grades

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

Negative Grade Angle Given Sight Distance Formula

LaTeX Go

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

Negative Grade Angle Given Sight Distance

The formula for the negative grade angle, given the sight distance, is: the height of the obstruction divided by the difference between the sight distance and the sum of half the curve length and the driver's eye height divided by the positive grade angle.

How to Calculate Negative Grade Angle Given Sight Distance?

Negative Grade Angle Given Sight Distance calculator uses Negative Grade Angle = The Height of The Obstruction/(Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle) to calculate the Negative Grade Angle, The Negative Grade Angle Given Sight Distance formula is defined as the height of the obstruction divided by the difference between the sight distance, half the curve length, and the driver's eye height divided by the positive grade angle. Negative Grade Angle is denoted by n₂ symbol.

How to calculate Negative Grade Angle Given Sight Distance using this online calculator? To use this online calculator for Negative Grade Angle Given Sight Distance, enter The Height of The Obstruction (h₂), Sight Distance (S), Length of Curve (L_s), Driver Sight Height (h₁) & Positive Grade Angle (n₁) and hit the calculate button. Here is how the Negative Grade Angle Given Sight Distance calculation can be explained with given input values -> -0.365509 = 0.36/(4.536929-8.953859/2-0.75/0.785398163397301).

FAQ

What is Negative Grade Angle Given Sight Distance?

The Negative Grade Angle Given Sight Distance formula is defined as the height of the obstruction divided by the difference between the sight distance, half the curve length, and the driver's eye height divided by the positive grade angle and is represented as n₂ = h₂/(S-L_s/2-h₁/n₁) or Negative Grade Angle = The Height of The Obstruction/(Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle). 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 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.

How to calculate Negative Grade Angle Given Sight Distance?

The Negative Grade Angle Given Sight Distance formula is defined as the height of the obstruction divided by the difference between the sight distance, half the curve length, and the driver's eye height divided by the positive grade angle is calculated using Negative Grade Angle = The Height of The Obstruction/(Sight Distance-Length of Curve/2-Driver Sight Height/Positive Grade Angle). To calculate Negative Grade Angle Given Sight Distance, you need The Height of The Obstruction (h₂), Sight Distance (S), Length of Curve (L_s), Driver Sight Height (h₁) & Positive Grade Angle (n₁). With our tool, you need to enter the respective value for The Height of The Obstruction, Sight Distance, Length of Curve, Driver Sight Height & Positive Grade Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search