Elevation of Point of Vertical Curvature Calculator

✖Elevation of PVI can be described as the length at which the point of vertical intersection of grades on either side of curve.ⓘ Elevation of PVI [V]			+10% -10%
✖Length of Parabolic Curves is defined as the arc length in a parabolic curves.ⓘ Length of Parabolic Curves [L_Pc]			+10% -10%
✖Grade at beginning of Curve can be described as the grade at the beginning of the parabolic curve.ⓘ Grade at beginning of Curve [G_I]			+10% -10%

✖Elevation of PVC(point of vertical curvature) can be described as the vertical line passing through the point of curvature.ⓘ Elevation of Point of Vertical Curvature [E₀]

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Formula

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Elevation of Point of Vertical Curvature

Formula

`"E"_{"0"} = "V"-(1/2)*("L"_{"Pc"}*(-"G"_{"I"}))`

Example

`"551.5m"= "550m"-(1/2)*("0.3m"*(-"10"))`

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Elevation of Point of Vertical Curvature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elevation of PVC = Elevation of PVI-(1/2)*(Length of Parabolic Curves*(-Grade at beginning of Curve))
E₀ = V-(1/2)*(L_Pc*(-G_I))
This formula uses 4 Variables

Variables Used

Elevation of PVC - (Measured in Meter) - Elevation of PVC(point of vertical curvature) can be described as the vertical line passing through the point of curvature.
Elevation of PVI - (Measured in Meter) - Elevation of PVI can be described as the length at which the point of vertical intersection of grades on either side of curve.
Length of Parabolic Curves - (Measured in Meter) - Length of Parabolic Curves is defined as the arc length in a parabolic curves.
Grade at beginning of Curve - Grade at beginning of Curve can be described as the grade at the beginning of the parabolic curve.

STEP 1: Convert Input(s) to Base Unit

Elevation of PVI: 550 Meter --> 550 Meter No Conversion Required
Length of Parabolic Curves: 0.3 Meter --> 0.3 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_Pc*(-G_I)) --> 550-(1/2)*(0.3*(-10))

Evaluating ... ...

E₀ = 551.5

STEP 3: Convert Result to Output's Unit

551.5 Meter --> No Conversion Required

FINAL ANSWER

551.5 Meter <-- Elevation of PVC

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 7 Parabolic Curves Calculators

Elevation of PVC given Elevation of Lowest Point on Sag Curve

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

Elevation of Lowest Point on Sag Curve

Go Elevation of Lowest Point on a Sag Curve = Elevation of PVC-((Grade at beginning of Curve^2)/(2*Rate of Change of Grade))

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

Go Length of Parabolic Curves = (Grade at end of curve-(-Grade at beginning of Curve))/Rate of Change of Grade

Elevation of Point of Vertical Curvature

Go Elevation of PVC = Elevation of PVI-(1/2)*(Length of Parabolic Curves*(-Grade at beginning of Curve))

Elevation of Point of Vertical Intersection

Go Elevation of PVI = Elevation of PVC+(1/2)*(Length of Curve*Grade at beginning of Curve)

Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve

Go Rate of Change of Grade = -(Grade at beginning of Curve/Distance from PVC to lowest point on a sag curve)

Distance from PVC to Lowest Point on Sag Curve

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

Elevation of PVC = Elevation of PVI-(1/2)*(Length of Parabolic Curves*(-Grade at beginning of Curve))
E₀ = V-(1/2)*(L_Pc*(-G_I))

What is the point of curvature ?

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

How to Calculate Elevation of Point of Vertical Curvature?

Elevation of Point of Vertical Curvature calculator uses Elevation of PVC = Elevation of PVI-(1/2)*(Length of Parabolic Curves*(-Grade at beginning of Curve)) to calculate the Elevation of PVC, Elevation of Point of Vertical Curvature (PVC) is defined as the the vertical line passing through the parabolic curve. Elevation of PVC 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 PVI (V), Length of Parabolic Curves (L_Pc) & 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 -> 551.5 = 550-(1/2)*(0.3*(-10)).

FAQ

What is Elevation of Point of Vertical Curvature?

Elevation of Point of Vertical Curvature (PVC) is defined as the the vertical line passing through the parabolic curve and is represented as E₀ = V-(1/2)*(L_Pc*(-G_I)) or Elevation of PVC = Elevation of PVI-(1/2)*(Length of Parabolic Curves*(-Grade at beginning of Curve)). Elevation of PVI can be described as the length at which the point of vertical intersection of grades on either side of curve, Length of Parabolic Curves is defined as the arc length in a parabolic curves & Grade at beginning of Curve can be described as the grade at the beginning of the parabolic curve.

How to calculate Elevation of Point of Vertical Curvature?

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

In this formula, Elevation of PVC uses Elevation of PVI, Length of Parabolic Curves & Grade at beginning of Curve. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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