Elevation of Point of Vertical Curvature Calculator

✖The Elevation of Point of Vertical Intersection is referred as length at which the point of vertical intersection of grades on either side of curve.ⓘ Elevation of Point of Vertical Intersection [V]			+10% -10%
✖The Length of Curve is defined as arc length in a parabolic curves safe and smooth transitions between straight segments of roadway and curved sections.ⓘ Length of Curve [L_c]			+10% -10%
✖The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.ⓘ Grade at Beginning of Curve [G_I]			+10% -10%

✖The Elevation of Point of Vertical Curve referred as the vertical line passing through the point of curvature at the start point of the curve.ⓘ Elevation of Point of Vertical Curvature [E₀]

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Elevation of Point of Vertical Curvature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elevation of Point of Vertical Curve = Elevation of Point of Vertical Intersection-((1/2)*(Length of Curve*Grade at Beginning of Curve))
E₀ = V-((1/2)*(L_c*G_I))
This formula uses 4 Variables

Variables Used

Elevation of Point of Vertical Curve - (Measured in Meter) - The Elevation of Point of Vertical Curve referred as the vertical line passing through the point of curvature at the start point of the curve.
Elevation of Point of Vertical Intersection - (Measured in Meter) - The Elevation of Point of Vertical Intersection is referred as length at which the point of vertical intersection of grades on either side of curve.
Length of Curve - (Measured in Meter) - The Length of Curve is defined as arc length in a parabolic curves safe and smooth transitions between straight segments of roadway and curved sections.
Grade at Beginning of Curve - The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.

STEP 1: Convert Input(s) to Base Unit

Elevation of Point of Vertical Intersection: 750 Meter --> 750 Meter No Conversion Required
Length of Curve: 140 Meter --> 140 Meter No Conversion Required
Grade at Beginning of Curve: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E₀ = V-((1/2)*(L_c*G_I)) --> 750-((1/2)*(140*10))

Evaluating ... ...

E₀ = 50

STEP 3: Convert Result to Output's Unit

50 Meter --> No Conversion Required

FINAL ANSWER

50 Meter <-- Elevation of Point of Vertical Curve

(Calculation completed in 00.006 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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National Institute of Technology Karnataka (NITK), Surathkal

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< Parabolic Curves Calculators

Elevation of Point of Vertical Curvature

LaTeX Go Elevation of Point of Vertical Curve = Elevation of Point of Vertical Intersection-((1/2)*(Length of Curve*Grade at Beginning of Curve))

Elevation of Point of Vertical Intersection

LaTeX Go Elevation of Point of Vertical Intersection = Elevation of Point of Vertical Curve+(1/2)*(Length of Curve*Grade at Beginning of Curve)

Length of Curve using Rate of change of Grade in Parabolic Curves

LaTeX Go Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade

Distance from Point of Vertical Curve to Lowest Point on Sag Curve

LaTeX Go Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade)

Elevation of Point of Vertical Curvature Formula

LaTeX Go

Elevation of Point of Vertical Curve = Elevation of Point of Vertical Intersection-((1/2)*(Length of Curve*Grade at Beginning of Curve))
E₀ = V-((1/2)*(L_c*G_I))

What is the Point of Curvature?

Point of Curvature can be defined as the point at which the vertical line intersects at the beginning point of the parabolic curve.

What is Lowest Point on a Sag Curve?

The Lowest Point on a Sag Curve is the point at which the maximum sag (bending) on a parabolic curve.

How to Calculate Elevation of Point of Vertical Curvature?

Elevation of Point of Vertical Curvature calculator uses Elevation of Point of Vertical Curve = Elevation of Point of Vertical Intersection-((1/2)*(Length of Curve*Grade at Beginning of Curve)) to calculate the Elevation of Point of Vertical Curve, The Elevation of Point of Vertical Curvature formula is defined as the vertical line passing through the parabolic curve. Elevation of Point of Vertical Curve is denoted by E₀ symbol.

How to calculate Elevation of Point of Vertical Curvature using this online calculator? To use this online calculator for Elevation of Point of Vertical Curvature, enter Elevation of Point of Vertical Intersection (V), Length of Curve (L_c) & Grade at Beginning of Curve (G_I) and hit the calculate button. Here is how the Elevation of Point of Vertical Curvature calculation can be explained with given input values -> 50 = 750-((1/2)*(140*10)).

FAQ

What is Elevation of Point of Vertical Curvature?

The Elevation of Point of Vertical Curvature formula is defined as the vertical line passing through the parabolic curve and is represented as E₀ = V-((1/2)*(L_c*G_I)) or Elevation of Point of Vertical Curve = Elevation of Point of Vertical Intersection-((1/2)*(Length of Curve*Grade at Beginning of Curve)). The Elevation of Point of Vertical Intersection is referred as length at which the point of vertical intersection of grades on either side of curve, The Length of Curve is defined as arc length in a parabolic curves safe and smooth transitions between straight segments of roadway and curved sections & The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.

How to calculate Elevation of Point of Vertical Curvature?

The Elevation of Point of Vertical Curvature formula is defined as the vertical line passing through the parabolic curve is calculated using Elevation of Point of Vertical Curve = Elevation of Point of Vertical Intersection-((1/2)*(Length of Curve*Grade at Beginning of Curve)). To calculate Elevation of Point of Vertical Curvature, you need Elevation of Point of Vertical Intersection (V), Length of Curve (L_c) & Grade at Beginning of Curve (G_I). With our tool, you need to enter the respective value for Elevation of Point of Vertical Intersection, Length of Curve & Grade at Beginning of Curve 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 Elevation of Point of Vertical Curve?

In this formula, Elevation of Point of Vertical Curve uses Elevation of Point of Vertical Intersection, Length of Curve & Grade at Beginning of Curve. We can use 1 other way(s) to calculate the same, which is/are as follows -

Elevation of Point of Vertical Curve = Elevation of Lowest Point on a Sag Curve+((Grade at Beginning of Curve^2)/(2*Rate of Change of Grade))

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