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Elevation of Point of Vertical Curvature Formula

GoElevation of PVC given Elevation of Lowest Point on Sag Curve Formula

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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. Check FAQs

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

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

Elevation of Point of Vertical Curvature Example

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

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

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

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

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

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

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Elevation of Point of Vertical Curvature Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E 0 = 750m - ((\frac{1}{2}) \cdot (140m \cdot 10))

Next Step Prepare to Evaluate

∴

E 0 = 750 - ((\frac{1}{2}) \cdot (140 \cdot 10))

LAST Step Evaluate

∴

E 0 = 50m

Elevation of Point of Vertical Curvature Formula Elements

Variables

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

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

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 to find Elevation of Point of Vertical Curve

Go Elevation of PVC given Elevation of Lowest Point on Sag Curve

E 0 = E s + (\frac{{G I}^{2}}{2 \cdot R g})

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 Intersection

V = E 0 + (\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 Curvature?

Elevation of Point of Vertical Curvature evaluator uses Elevation of Point of Vertical Curve = Elevation of Point of Vertical Intersection-((1/2)*(Length of Curve*Grade at Beginning of Curve)) to evaluate 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 evaluate Elevation of Point of Vertical Curvature using this online evaluator? To use this online evaluator 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.

FAQs on Elevation of Point of Vertical Curvature

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

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

How to calculate Elevation of Point of Vertical Curvature?

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

What are the other ways to Calculate Elevation of Point of Vertical Curve?

Here are the different ways to Calculate Elevation of Point of Vertical Curve-

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))

Can the Elevation of Point of Vertical Curvature be negative?

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

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

Elevation of Point of Vertical Curvature 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 Curvature can be measured.

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Elevation of Point of Vertical Curvature Formula

​GoElevation of PVC given Elevation of Lowest Point on Sag Curve Formula

Elevation of Point of Vertical Curvature Example

Elevation of Point of Vertical Curvature Solution

Elevation of Point of Vertical Curvature Formula Elements

Other Formulas to find Elevation of Point of Vertical Curve

Other formulas in Parabolic Curves category

How to Evaluate Elevation of Point of Vertical Curvature?

FAQs on Elevation of Point of Vertical Curvature

Variable Name

GoElevation of PVC given Elevation of Lowest Point on Sag Curve Formula