Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD Calculator

✖Stopping Sight Distance is defined as distance provided on the road before a sharp turn.ⓘ Stopping Sight Distance [SSD]			+10% -10%
✖Height of eye level of driver above roadway surface.ⓘ Height of Eye Level of Driver above Roadway [H]			+10% -10%
✖Height of subject above pavement surface.ⓘ Height of Subject above Pavement Surface [h]			+10% -10%
✖Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.ⓘ Deviation Angle [N]			+10% -10%

✖The Length of Parabolic Summit Curve is the vertical curve with a gradient upwards.ⓘ Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD [L_Sc]

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Formula

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Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD

Formula

`"L"_{"Sc"} = 2*"SSD"-(((2*"H")^0.5+(2*"h")^0.5)^2/"N")`

Example

`"265.0368m"=2*"160m"-(((2*"1.2m")^0.5+(2*"0.15m")^0.5)^2/"0.08")`

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Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Parabolic Summit Curve = 2*Stopping Sight Distance-(((2*Height of Eye Level of Driver above Roadway)^0.5+(2*Height of Subject above Pavement Surface)^0.5)^2/Deviation Angle)
L_Sc = 2*SSD-(((2*H)^0.5+(2*h)^0.5)^2/N)
This formula uses 5 Variables

Variables Used

Length of Parabolic Summit Curve - (Measured in Meter) - The Length of Parabolic Summit Curve is the vertical curve with a gradient upwards.
Stopping Sight Distance - (Measured in Meter) - Stopping Sight Distance is defined as distance provided on the road before a sharp turn.
Height of Eye Level of Driver above Roadway - (Measured in Meter) - Height of eye level of driver above roadway surface.
Height of Subject above Pavement Surface - (Measured in Meter) - Height of subject above pavement surface.
Deviation Angle - Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.

STEP 1: Convert Input(s) to Base Unit

Stopping Sight Distance: 160 Meter --> 160 Meter No Conversion Required
Height of Eye Level of Driver above Roadway: 1.2 Meter --> 1.2 Meter No Conversion Required
Height of Subject above Pavement Surface: 0.15 Meter --> 0.15 Meter No Conversion Required
Deviation Angle: 0.08 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Sc = 2*SSD-(((2*H)^0.5+(2*h)^0.5)^2/N) --> 2*160-(((2*1.2)^0.5+(2*0.15)^0.5)^2/0.08)

Evaluating ... ...

L_Sc = 265.036796564404

STEP 3: Convert Result to Output's Unit

265.036796564404 Meter --> No Conversion Required

FINAL ANSWER

265.036796564404 ≈ 265.0368 Meter <-- Length of Parabolic Summit Curve

(Calculation completed in 00.004 seconds)

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< 4 Summit Curve Calculators

Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD

Go Length of Parabolic Summit Curve = 2*Stopping Sight Distance-(((2*Height of Eye Level of Driver above Roadway)^0.5+(2*Height of Subject above Pavement Surface)^0.5)^2/Deviation Angle)

Length of Summit Curve for Stopping Sight Distance when Curve Length is more than SSD

Go Length of Parabolic Summit Curve = (Deviation Angle*Stopping Sight Distance^2)/((2*Height of Eye Level of Driver above Roadway)^0.5+(2*Height of Subject above Pavement Surface)^0.5)^2

Length of Summit Curve when Length of Curve is greater than OSD or ISD

Go Length of Parabolic Summit Curve = (Deviation Angle*(Stopping Sight Distance^2))/(8*Height of Eye Level of Driver above Roadway)

Length of Summit Curve when Length of Curve is less than OSD or ISD

Go Length of Parabolic Summit Curve = 2*Stopping Sight Distance-((8*Height of Eye Level of Driver above Roadway)/Deviation Angle)

Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD Formula

What is the parabolic summit curve?

When two gradient meet at the summit and the curve will have convexity upwards, the curve is simply referred as summit curve.

What is the design parameter?

While designing the length of parabolic summit curve, it is necessary to consider SSD and OSD separately. It is essential to provide sight distance equal to stopping distance at all points.

How to Calculate Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD?

Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD calculator uses Length of Parabolic Summit Curve = 2*Stopping Sight Distance-(((2*Height of Eye Level of Driver above Roadway)^0.5+(2*Height of Subject above Pavement Surface)^0.5)^2/Deviation Angle) to calculate the Length of Parabolic Summit Curve, Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD formula is defined as ratio of summation of height of eye level of driver and subject to the deviation angle. Length of Parabolic Summit Curve is denoted by L_Sc symbol.

How to calculate Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD using this online calculator? To use this online calculator for Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD, enter Stopping Sight Distance (SSD), Height of Eye Level of Driver above Roadway (H), Height of Subject above Pavement Surface (h) & Deviation Angle (N) and hit the calculate button. Here is how the Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD calculation can be explained with given input values -> 265.0368 = 2*160-(((2*1.2)^0.5+(2*0.15)^0.5)^2/0.08).

FAQ

What is Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD?

Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD formula is defined as ratio of summation of height of eye level of driver and subject to the deviation angle and is represented as L_Sc = 2*SSD-(((2*H)^0.5+(2*h)^0.5)^2/N) or Length of Parabolic Summit Curve = 2*Stopping Sight Distance-(((2*Height of Eye Level of Driver above Roadway)^0.5+(2*Height of Subject above Pavement Surface)^0.5)^2/Deviation Angle). Stopping Sight Distance is defined as distance provided on the road before a sharp turn, Height of eye level of driver above roadway surface, Height of subject above pavement surface & Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.

How to calculate Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD?

Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD formula is defined as ratio of summation of height of eye level of driver and subject to the deviation angle is calculated using Length of Parabolic Summit Curve = 2*Stopping Sight Distance-(((2*Height of Eye Level of Driver above Roadway)^0.5+(2*Height of Subject above Pavement Surface)^0.5)^2/Deviation Angle). To calculate Length of Summit Curve for Stopping Sight Distance when Curve Length is less than SSD, you need Stopping Sight Distance (SSD), Height of Eye Level of Driver above Roadway (H), Height of Subject above Pavement Surface (h) & Deviation Angle (N). With our tool, you need to enter the respective value for Stopping Sight Distance, Height of Eye Level of Driver above Roadway, Height of Subject above Pavement Surface & Deviation 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 Length of Parabolic Summit Curve?

In this formula, Length of Parabolic Summit Curve uses Stopping Sight Distance, Height of Eye Level of Driver above Roadway, Height of Subject above Pavement Surface & Deviation Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Parabolic Summit Curve = (Deviation Angle*Stopping Sight Distance^2)/((2*Height of Eye Level of Driver above Roadway)^0.5+(2*Height of Subject above Pavement Surface)^0.5)^2
Length of Parabolic Summit Curve = (Deviation Angle*(Stopping Sight Distance^2))/(8*Height of Eye Level of Driver above Roadway)
Length of Parabolic Summit Curve = 2*Stopping Sight Distance-((8*Height of Eye Level of Driver above Roadway)/Deviation Angle)

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