Length of Summit Curve Given Angle Grades Calculator

✖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%
✖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%
✖A positive grade angle indicates an upward slope.ⓘ Positive Grade Angle [n₁]			+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%

✖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 Summit Curve Given Angle Grades [L_s]

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Length of Summit Curve Given Angle Grades Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = 2*(Sight Distance-Driver Sight Height/Positive Grade Angle-The Height of The Obstruction/Negative Grade Angle)
L_s = 2*(S-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: 4.536929 Meter --> 4.536929 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

L_s = 2*(S-h₁/n₁-h₂/n₂) --> 2*(4.536929-0.75/0.785398163397301-0.36/(-0.402266))

Evaluating ... ...

L_s = 8.95385912350088

STEP 3: Convert Result to Output's Unit

8.95385912350088 Meter --> No Conversion Required

FINAL ANSWER

8.95385912350088 ≈ 8.953859 Meter <-- Length of Curve

(Calculation completed in 00.020 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

Length of Summit Curve Given Angle Grades Formula

LaTeX Go

Length of Curve = 2*(Sight Distance-Driver Sight Height/Positive Grade Angle-The Height of The Obstruction/Negative Grade Angle)
L_s = 2*(S-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 = 2*(Sight Distance-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 L_s 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 -> 8.953859 = 2*(4.536929-0.75/0.785398163397301-0.36/(-0.402266)).

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 L_s = 2*(S-h₁/n₁-h₂/n₂) or Length of Curve = 2*(Sight Distance-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 = 2*(Sight Distance-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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