Elevation of Point of Vertical Intersection Calculator

✖Elevation of PVC(point of vertical curvature) can be described as the vertical line passing through the point of curvature.ⓘ Elevation of PVC [E₀]			+10% -10%
✖Length of curve is defined as the arc length in a parabolic curves.ⓘ Length of Curve [L_c]			+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 PVI can be described as the length at which the point of vertical intersection of grades on either side of curve.ⓘ Elevation of Point of Vertical Intersection [V]

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Formula

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Elevation of Point of Vertical Intersection

Formula

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

Example

`"750m"="50m"+(1/2)*("140m"*"10")`

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Elevation of Point of Vertical Intersection Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Length of Curve - (Measured in Meter) - Length of curve 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 PVC: 50 Meter --> 50 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

V = E₀+(1/2)*(L_c*G_I) --> 50+(1/2)*(140*10)

Evaluating ... ...

V = 750

STEP 3: Convert Result to Output's Unit

750 Meter --> No Conversion Required

FINAL ANSWER

750 Meter <-- Elevation of PVI

(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 Intersection Formula

Elevation of PVI = Elevation of PVC+(1/2)*(Length of Curve*Grade at beginning of Curve)
V = E₀+(1/2)*(L_c*G_I)

What is elevation of PVI ?

Elevation of PVI can be defined as the point of vertical intersection at the beggining of the grade in a parabolic curve.

How to Calculate Elevation of Point of Vertical Intersection?

Elevation of Point of Vertical Intersection calculator uses Elevation of PVI = Elevation of PVC+(1/2)*(Length of Curve*Grade at beginning of Curve) to calculate the Elevation of PVI, Elevation of Point of Vertical Intersection (PVI) is defined as the straight line at which the point of vertical intersection in a parabolic curve. Elevation of PVI is denoted by V symbol.

How to calculate Elevation of Point of Vertical Intersection using this online calculator? To use this online calculator for Elevation of Point of Vertical Intersection, enter Elevation of PVC (E₀), 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 Intersection calculation can be explained with given input values -> 750 = 50+(1/2)*(140*10).

FAQ

What is Elevation of Point of Vertical Intersection?

Elevation of Point of Vertical Intersection (PVI) is defined as the straight line at which the point of vertical intersection in a parabolic curve and is represented as V = E₀+(1/2)*(L_c*G_I) or Elevation of PVI = Elevation of PVC+(1/2)*(Length of Curve*Grade at beginning of Curve). Elevation of PVC(point of vertical curvature) can be described as the vertical line passing through the point of curvature, Length of curve 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 Intersection?

Elevation of Point of Vertical Intersection (PVI) is defined as the straight line at which the point of vertical intersection in a parabolic curve is calculated using Elevation of PVI = Elevation of PVC+(1/2)*(Length of Curve*Grade at beginning of Curve). To calculate Elevation of Point of Vertical Intersection, you need Elevation of PVC (E₀), 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 PVC, 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.

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