Positive Grade Angle Given Sight Distance Calculator

✖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%
✖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%
✖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%
✖A negative grade angle indicates an incline slope.ⓘ Negative Grade Angle [n₂]			+10% -10%

✖A positive grade angle indicates an upward slope.ⓘ Positive Grade Angle Given Sight Distance [n₁]

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Positive Grade Angle Given Sight Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Positive Grade Angle - (Measured in Radian) - A positive grade angle indicates an upward slope.
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.
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.
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.
Negative Grade Angle - A negative grade angle indicates an incline slope.

STEP 1: Convert Input(s) to Base Unit

Driver Sight Height: 0.75 Meter --> 0.75 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
The Height of The Obstruction: 0.36 Meter --> 0.36 Meter No Conversion Required
Negative Grade Angle: -0.402266 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₁ = h₁/(S-L_s/2-h₂/n₂) --> 0.75/(4.536929-8.953859/2-0.36/(-0.402266))

Evaluating ... ...

n₁ = 0.785398112609605

STEP 3: Convert Result to Output's Unit

0.785398112609605 Radian -->44.9999970900794 Degree (Check conversion here)

FINAL ANSWER

44.9999970900794 ≈ 45 Degree <-- Positive Grade Angle

(Calculation completed in 00.020 seconds)

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Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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National Institute Of Technology (NIT), Hamirpur

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< 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

Positive Grade Angle Given Sight Distance Formula

LaTeX Go

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

Positive Grade Angle Given Sight Distance

The formula to calculate the positive grade angle given the sight distance involves dividing the driver's eye height by the difference between the sight distance subtracted by half the curve length and the height of the obstruction, all divided by the negative grade angle.

How to Calculate Positive Grade Angle Given Sight Distance?

Positive Grade Angle Given Sight Distance calculator uses Positive Grade Angle = Driver Sight Height/(Sight Distance-Length of Curve/2-The Height of The Obstruction/Negative Grade Angle) to calculate the Positive Grade Angle, The Positive Grade Angle Given Sight Distance formula is defined as The driver's eye height divided by the difference between the sight distance minus half the length of the curve and the height of the obstruction divided by the negative grade angle. Positive Grade Angle is denoted by n₁ symbol.

How to calculate Positive Grade Angle Given Sight Distance using this online calculator? To use this online calculator for Positive Grade Angle Given Sight Distance, enter Driver Sight Height (h₁), Sight Distance (S), Length of Curve (L_s), The Height of The Obstruction (h₂) & Negative Grade Angle (n₂) and hit the calculate button. Here is how the Positive Grade Angle Given Sight Distance calculation can be explained with given input values -> 2846.592 = 0.75/(4.536929-8.953859/2-0.36/(-0.402266)).

FAQ

What is Positive Grade Angle Given Sight Distance?

The Positive Grade Angle Given Sight Distance formula is defined as The driver's eye height divided by the difference between the sight distance minus half the length of the curve and the height of the obstruction divided by the negative grade angle and is represented as n₁ = h₁/(S-L_s/2-h₂/n₂) or Positive Grade Angle = Driver Sight Height/(Sight Distance-Length of Curve/2-The Height of The Obstruction/Negative Grade Angle). Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle, 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, The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety & A negative grade angle indicates an incline slope.

How to calculate Positive Grade Angle Given Sight Distance?

The Positive Grade Angle Given Sight Distance formula is defined as The driver's eye height divided by the difference between the sight distance minus half the length of the curve and the height of the obstruction divided by the negative grade angle is calculated using Positive Grade Angle = Driver Sight Height/(Sight Distance-Length of Curve/2-The Height of The Obstruction/Negative Grade Angle). To calculate Positive Grade Angle Given Sight Distance, you need Driver Sight Height (h₁), Sight Distance (S), Length of Curve (L_s), The Height of The Obstruction (h₂) & Negative Grade Angle (n₂). With our tool, you need to enter the respective value for Driver Sight Height, Sight Distance, Length of Curve, The Height of The Obstruction & Negative Grade Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Positive Grade Angle?

In this formula, Positive Grade Angle uses Driver Sight Height, Sight Distance, Length of Curve, The Height of The Obstruction & Negative Grade Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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