Length of Summit Curve when Length of Curve is less than OSD or ISD 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%
✖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 when Length of Curve is less than OSD or ISD [L_Sc]

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Formula

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

Formula

`"L"_{"Sc"} = 2*"SSD"-((8*"H")/"N")`

Example

`"200m"=2*"160m"-((8*"1.2m")/"0.08")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Parabolic Summit Curve = 2*Stopping Sight Distance-((8*Height of Eye Level of Driver above Roadway)/Deviation Angle)
L_Sc = 2*SSD-((8*H)/N)
This formula uses 4 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.
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
Deviation Angle: 0.08 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Sc = 2*SSD-((8*H)/N) --> 2*160-((8*1.2)/0.08)

Evaluating ... ...

L_Sc = 200

STEP 3: Convert Result to Output's Unit

200 Meter --> No Conversion Required

FINAL ANSWER

200 Meter <-- Length of Parabolic Summit Curve

(Calculation completed in 00.004 seconds)

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Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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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 when Length of Curve is less than OSD or ISD Formula

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

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 in case of OSD/ISD?

In this case the value of both height of eye level and subject above pavement surface is taken as 1.2m.

How to Calculate Length of Summit Curve when Length of Curve is less than OSD or ISD?

Length of Summit Curve when Length of Curve is less than OSD or ISD calculator uses Length of Parabolic Summit Curve = 2*Stopping Sight Distance-((8*Height of Eye Level of Driver above Roadway)/Deviation Angle) to calculate the Length of Parabolic Summit Curve, The Length of Summit Curve when Length of Curve is less than OSD or ISD is defined as ratio of height of eye level of driver to the deviation angle subtracted from twice the stopping sight distance. Length of Parabolic Summit Curve is denoted by L_Sc symbol.

How to calculate Length of Summit Curve when Length of Curve is less than OSD or ISD using this online calculator? To use this online calculator for Length of Summit Curve when Length of Curve is less than OSD or ISD, enter Stopping Sight Distance (SSD), Height of Eye Level of Driver above Roadway (H) & Deviation Angle (N) and hit the calculate button. Here is how the Length of Summit Curve when Length of Curve is less than OSD or ISD calculation can be explained with given input values -> 200 = 2*160-((8*1.2)/0.08).

FAQ

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

The Length of Summit Curve when Length of Curve is less than OSD or ISD is defined as ratio of height of eye level of driver to the deviation angle subtracted from twice the stopping sight distance and is represented as L_Sc = 2*SSD-((8*H)/N) or Length of Parabolic Summit Curve = 2*Stopping Sight Distance-((8*Height of Eye Level of Driver above Roadway)/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 & Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.

How to calculate Length of Summit Curve when Length of Curve is less than OSD or ISD?

The Length of Summit Curve when Length of Curve is less than OSD or ISD is defined as ratio of height of eye level of driver to the deviation angle subtracted from twice the stopping sight distance is calculated using Length of Parabolic Summit Curve = 2*Stopping Sight Distance-((8*Height of Eye Level of Driver above Roadway)/Deviation Angle). To calculate Length of Summit Curve when Length of Curve is less than OSD or ISD, you need Stopping Sight Distance (SSD), Height of Eye Level of Driver above Roadway (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 & 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 & Deviation Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 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)

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