Driver Sight Height given Angle Grades Solution

STEP 0: Pre-Calculation Summary
Formula Used
Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle
h1 = Ls/2+S*n1+h2/n2
This formula uses 6 Variables
Variables Used
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.
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.
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.
Positive Grade Angle - (Measured in Radian) - A positive grade angle indicates an upward 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.
Negative Grade Angle - A negative grade angle indicates an incline slope.
STEP 1: Convert Input(s) to Base Unit
Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required
Positive Grade Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
The Height of The Obstruction: 0.36 Meter --> 0.36 Meter No Conversion Required
Negative Grade Angle: -45 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h1 = Ls/2+S*n1+h2/n2 --> 7/2+3.56*0.785398163397301+0.36/(-45)
Evaluating ... ...
h1 = 6.28801746169439
STEP 3: Convert Result to Output's Unit
6.28801746169439 Meter --> No Conversion Required
FINAL ANSWER
6.28801746169439 6.288017 Meter <-- Driver Sight Height
(Calculation completed in 00.020 seconds)

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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

Driver Sight Height given Angle Grades Formula

​LaTeX ​Go
Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle
h1 = Ls/2+S*n1+h2/n2

Driver Sight Distance given Angle Grades

The driver sight distance given angle grades calculates the visual distance available for a driver, considering both positive (upward) and negative (downward) road grades. This calculation is crucial in road design to ensure adequate visibility for safe driving while accounting for changes in road elevation.

How to Calculate Driver Sight Height given Angle Grades?

Driver Sight Height given Angle Grades calculator uses Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle to calculate the Driver Sight Height, Driver Sight Height given Angle Grades formula is determined by half the length of the curve added to the sight distance multiplied by the positive grade angle, further added to the height of the obstruction divided by the negative grade angle. Driver Sight Height is denoted by h1 symbol.

How to calculate Driver Sight Height given Angle Grades using this online calculator? To use this online calculator for Driver Sight Height given Angle Grades, enter Length of Curve (Ls), Sight Distance (S), Positive Grade Angle (n1), The Height of The Obstruction (h2) & Negative Grade Angle (n2) and hit the calculate button. Here is how the Driver Sight Height given Angle Grades calculation can be explained with given input values -> 6.288017 = 7/2+3.56*0.785398163397301+0.36/(-45).

FAQ

What is Driver Sight Height given Angle Grades?
Driver Sight Height given Angle Grades formula is determined by half the length of the curve added to the sight distance multiplied by the positive grade angle, further added to the height of the obstruction divided by the negative grade angle and is represented as h1 = Ls/2+S*n1+h2/n2 or Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle. Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave, 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, A positive grade angle indicates an upward slope, 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 Driver Sight Height given Angle Grades?
Driver Sight Height given Angle Grades formula is determined by half the length of the curve added to the sight distance multiplied by the positive grade angle, further added to the height of the obstruction divided by the negative grade angle is calculated using Driver Sight Height = Length of Curve/2+Sight Distance*Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle. To calculate Driver Sight Height given Angle Grades, you need Length of Curve (Ls), Sight Distance (S), Positive Grade Angle (n1), The Height of The Obstruction (h2) & Negative Grade Angle (n2). With our tool, you need to enter the respective value for Length of Curve, Sight Distance, Positive Grade Angle, 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.
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