Length of Summit Curve Given Angle Grades Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Curve = Sight Distance*2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle
Ls = S*2+h1/n1+h2/n2
This formula uses 6 Variables
Variables Used
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.
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
Sight Distance: 3.56 Meter --> 3.56 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: -45 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ls = S*2+h1/n1+h2/n2 --> 3.56*2+0.75/0.785398163397301+0.36/(-45)
Evaluating ... ...
Ls = 8.06692965855155
STEP 3: Convert Result to Output's Unit
8.06692965855155 Meter --> No Conversion Required
FINAL ANSWER
8.06692965855155 8.06693 Meter <-- Length of Curve
(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

Length of Summit Curve Given Angle Grades Formula

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

Length of Summit Curve Given Angle Grades

The length of the summit curve given angle grades is a calculation that determines the extent of a summit curve on a road or highway, factoring in the upward or downward slope angles. This calculation is essential in road design to ensure a safe and appropriately sized summit curve, accommodating varying elevations for vehicles to navigate comfortably and safely.

How to Calculate Length of Summit Curve Given Angle Grades?

Length of Summit Curve Given Angle Grades calculator uses Length of Curve = Sight Distance*2+Driver Sight Height/Positive Grade Angle+The Height of The Obstruction/Negative Grade Angle to calculate the Length of Curve, The Length of Summit Curve Given Angle Grades formula is determined by doubling the sight distance, then adding the driver's eye height divided by the positive grade angle and the height of the obstruction divided by the negative grade angle. Length of Curve is denoted by Ls symbol.

How to calculate Length of Summit Curve Given Angle Grades using this online calculator? To use this online calculator for Length of Summit Curve Given Angle Grades, enter Sight Distance (S), 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 Length of Summit Curve Given Angle Grades calculation can be explained with given input values -> 8.06693 = 3.56*2+0.75/0.785398163397301+0.36/(-45).

FAQ

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