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

✖Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.ⓘ Deviation Angle [N]			+10% -10%
✖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%

✖The Length of Parabolic Summit Curve is the vertical curve with a gradient upwards.ⓘ Length of Summit Curve when Length of Curve is greater than OSD or ISD [L_Sc]

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Parabolic Summit Curve = (Deviation Angle*(Stopping Sight Distance^2))/(8*Height of Eye Level of Driver above Roadway)
L_Sc = (N*(SSD^2))/(8*H)
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.
Deviation Angle - Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.
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.

STEP 1: Convert Input(s) to Base Unit

Deviation Angle: 0.08 --> No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

L_Sc = 213.333333333333

STEP 3: Convert Result to Output's Unit

213.333333333333 Meter --> No Conversion Required

FINAL ANSWER

213.333333333333 ≈ 213.3333 Meter <-- Length of Parabolic Summit Curve

(Calculation completed in 00.020 seconds)

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< Summit Curve Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 greater than OSD or ISD Formula

LaTeX Go

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

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 greater than OSD or ISD?

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

How to calculate Length of Summit Curve when Length of Curve is greater than OSD or ISD using this online calculator? To use this online calculator for Length of Summit Curve when Length of Curve is greater than OSD or ISD, enter Deviation Angle (N), Stopping Sight Distance (SSD) & Height of Eye Level of Driver above Roadway (H) and hit the calculate button. Here is how the Length of Summit Curve when Length of Curve is greater than OSD or ISD calculation can be explained with given input values -> 213.3333 = (0.08*(160^2))/(8*1.2).

FAQ

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

The Length of Summit Curve when Length of Curve is greater than OSD or ISD is defined as ratio of product of stopping sight distance and deviation angle to the height of eye level of driver above roadway and is represented as L_Sc = (N*(SSD^2))/(8*H) or Length of Parabolic Summit Curve = (Deviation Angle*(Stopping Sight Distance^2))/(8*Height of Eye Level of Driver above Roadway). Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests, Stopping Sight Distance is defined as distance provided on the road before a sharp turn & Height of eye level of driver above roadway surface.

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

The Length of Summit Curve when Length of Curve is greater than OSD or ISD is defined as ratio of product of stopping sight distance and deviation angle to the height of eye level of driver above roadway is calculated using Length of Parabolic Summit Curve = (Deviation Angle*(Stopping Sight Distance^2))/(8*Height of Eye Level of Driver above Roadway). To calculate Length of Summit Curve when Length of Curve is greater than OSD or ISD, you need Deviation Angle (N), Stopping Sight Distance (SSD) & Height of Eye Level of Driver above Roadway (H). With our tool, you need to enter the respective value for Deviation Angle, Stopping Sight Distance & Height of Eye Level of Driver above Roadway 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 Deviation Angle, Stopping Sight Distance & Height of Eye Level of Driver above Roadway. 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 = 2*Stopping Sight Distance-((8*Height of Eye Level of Driver above Roadway)/Deviation Angle)

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