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Elevation of Point of Vertical Intersection Formula

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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. Check FAQs

V = E 0 + (\frac{1}{2}) \cdot (L c \cdot G I)

V - Elevation of Point of Vertical Intersection?E₀ - Elevation of Point of Vertical Curve?L_c - Length of Curve?G_I - Grade at Beginning of Curve?

Elevation of Point of Vertical Intersection Example

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Here is how the Elevation of Point of Vertical Intersection equation looks like with Values.

Here is how the Elevation of Point of Vertical Intersection equation looks like with Units.

Here is how the Elevation of Point of Vertical Intersection equation looks like.

750 = 50 + (\frac{1}{2}) \cdot (140 \cdot 10)

750m = 50m + (\frac{1}{2}) \cdot (140m \cdot 10)

750 = 50 + (\frac{1}{2}) \cdot (140 \cdot 10)

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Elevation of Point of Vertical Intersection Solution

Follow our step by step solution on how to calculate Elevation of Point of Vertical Intersection?

FIRST Step Consider the formula

V = E 0 + (\frac{1}{2}) \cdot (L c \cdot G I)

Next Step Substitute values of Variables

∴

V = 50m + (\frac{1}{2}) \cdot (140m \cdot 10)

Next Step Prepare to Evaluate

∴

V = 50 + (\frac{1}{2}) \cdot (140 \cdot 10)

LAST Step Evaluate

∴

V = 750m

Elevation of Point of Vertical Intersection Formula Elements

Variables

Elevation of Point of Vertical Intersection

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.

Symbol: V

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Elevation of Point of Vertical Intersection

Elevation of Point of Vertical Curve

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.

Symbol: E₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Elevation of Point of Vertical Curve

Length 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.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Grade at Beginning of Curve

The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.

Symbol: G_I

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Grade at Beginning of Curve

Other formulas in Parabolic Curves category

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

L Pc = \frac{G 2 - (- G I)}{R g}

Go Elevation of Point of Vertical Curvature

E 0 = V - ((\frac{1}{2}) \cdot (L c \cdot G I))

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

X s = - (\frac{G I}{R g})

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

R g = - (\frac{G I}{X s})

How to Evaluate Elevation of Point of Vertical Intersection?

Elevation of Point of Vertical Intersection evaluator uses Elevation of Point of Vertical Intersection = Elevation of Point of Vertical Curve+(1/2)*(Length of Curve*Grade at Beginning of Curve) to evaluate the Elevation of Point of Vertical Intersection, The Elevation of Point of Vertical Intersection formula is defined as the straight line at which the point of vertical intersection in a parabolic curve. Elevation of Point of Vertical Intersection is denoted by V symbol.

How to evaluate Elevation of Point of Vertical Intersection using this online evaluator? To use this online evaluator for Elevation of Point of Vertical Intersection, enter Elevation of Point of Vertical Curve (E₀), Length of Curve (L_c) & Grade at Beginning of Curve (G_I) and hit the calculate button.

FAQs on Elevation of Point of Vertical Intersection

What is the formula to find Elevation of Point of Vertical Intersection?

The formula of Elevation of Point of Vertical Intersection is expressed as Elevation of Point of Vertical Intersection = Elevation of Point of Vertical Curve+(1/2)*(Length of Curve*Grade at Beginning of Curve). Here is an example- 750 = 50+(1/2)*(140*10).

How to calculate Elevation of Point of Vertical Intersection?

With Elevation of Point of Vertical Curve (E₀), Length of Curve (L_c) & Grade at Beginning of Curve (G_I) we can find Elevation of Point of Vertical Intersection using the formula - Elevation of Point of Vertical Intersection = Elevation of Point of Vertical Curve+(1/2)*(Length of Curve*Grade at Beginning of Curve).

Can the Elevation of Point of Vertical Intersection be negative?

No, the Elevation of Point of Vertical Intersection, measured in Length cannot be negative.

Which unit is used to measure Elevation of Point of Vertical Intersection?

Elevation of Point of Vertical Intersection is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Elevation of Point of Vertical Intersection can be measured.

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Elevation of Point of Vertical Intersection Formula

Elevation of Point of Vertical Intersection Example

Elevation of Point of Vertical Intersection Solution

Elevation of Point of Vertical Intersection Formula Elements

Other formulas in Parabolic Curves category

How to Evaluate Elevation of Point of Vertical Intersection?

FAQs on Elevation of Point of Vertical Intersection

Variable Name