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-Ls/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: 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n2 = h2/(S-Ls/2-h1/n1) --> 0.36/(3.56-7/2-0.75/0.785398163397301)
Evaluating ... ...
n2 = -0.402266252503758
STEP 3: Convert Result to Output's Unit
-0.402266252503758 --> No Conversion Required
FINAL ANSWER
-0.402266252503758 -0.402266 <-- Negative Grade Angle
(Calculation completed in 00.004 seconds)

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Dayanada Sagar college of Engineering (DSCE), banglore
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Length of Summit Curve with Grade Angles Calculators

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
Length of Summit Curve Given Angle Grades
​ LaTeX ​ 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
​ LaTeX ​ Go Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative 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-Ls/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 (Ls), 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 -> -0.402266 = 0.36/(3.56-7/2-0.75/0.785398163397301).

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-Ls/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 (Ls), 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.
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