Sight Distance Given Angle Grades Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sight Distance = Length of Curve/2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle
S = Ls/2+h1/n1+h2/n2
This formula uses 6 Variables
Variables Used
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.
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: 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)
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
S = Ls/2+h1/n1+h2/n2 --> 8.953859/2+0.75/0.785398163397301+0.36/(-0.402266)
Evaluating ... ...
S = 4.53692893824956
STEP 3: Convert Result to Output's Unit
4.53692893824956 Meter --> No Conversion Required
FINAL ANSWER
4.53692893824956 4.536929 Meter <-- Sight Distance
(Calculation completed in 00.004 seconds)

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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

Sight Distance Given Angle Grades Formula

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

Sight distance given angle grades

Sight distance given angle grades is a calculation determining the visual distance available for a driver, accounting for the road's upward or downward slope angles. This calculation helps assess the distance visible along the road, considering both positive (upward) and negative (downward) road grades, essential for safe navigation and road design.

How to Calculate Sight Distance Given Angle Grades?

Sight Distance Given Angle Grades calculator uses Sight Distance = Length of Curve/2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle to calculate the Sight Distance, The Sight Distance Given Angle Grades formula is calculated as half the length of the curve plus the driver's eye height divided by the positive grade angle added to the height of the obstruction divided by the negative grade angle. Sight Distance is denoted by S symbol.

How to calculate Sight Distance Given Angle Grades using this online calculator? To use this online calculator for Sight Distance Given Angle Grades, enter Length of Curve (Ls), Driver Sight Height (h1), Positive Grade Angle (n1), The Height of The Obstruction (h2) & Negative Grade Angle (n2) and hit the calculate button. Here is how the Sight Distance Given Angle Grades calculation can be explained with given input values -> 4.536929 = 8.953859/2+0.75/0.785398163397301+0.36/(-0.402266).

FAQ

What is Sight Distance Given Angle Grades?
The Sight Distance Given Angle Grades formula is calculated as half the length of the curve plus the driver's eye height divided by the positive grade angle added to the height of the obstruction divided by the negative grade angle and is represented as S = Ls/2+h1/n1+h2/n2 or Sight Distance = Length of Curve/2+Driver Sight Height/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, 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, 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 Sight Distance Given Angle Grades?
The Sight Distance Given Angle Grades formula is calculated as half the length of the curve plus the driver's eye height divided by the positive grade angle added to the height of the obstruction divided by the negative grade angle is calculated using Sight Distance = Length of Curve/2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle. To calculate Sight Distance Given Angle Grades, you need Length of Curve (Ls), Driver Sight Height (h1), 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, Driver Sight Height, 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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