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

GoElevation of Point of Vertical Curvature 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 = E s + (\frac{{G I}^{2}}{2 \cdot R g})

E₀ - Elevation of Point of Vertical Curve?E_s - Elevation of Lowest Point on a Sag Curve?G_I - Grade at Beginning of Curve?R_g - Rate of Change of Grade?

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

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Here is how the Elevation of PVC given Elevation of Lowest Point on Sag Curve equation looks like with Values.

Here is how the Elevation of PVC given Elevation of Lowest Point on Sag Curve equation looks like with Units.

Here is how the Elevation of PVC given Elevation of Lowest Point on Sag Curve equation looks like.

49.9901 = 49 + (\frac{10^{2}}{2 \cdot 50.5})

49.9901m = 49m + (\frac{10^{2}}{2 \cdot 50.5m⁻¹})

49.9901 = 49 + (\frac{10^{2}}{2 \cdot 50.5})

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

Follow our step by step solution on how to calculate Elevation of PVC given Elevation of Lowest Point on Sag Curve?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E 0 = 49m + (\frac{10^{2}}{2 \cdot 50.5m⁻¹})

Next Step Prepare to Evaluate

∴

E 0 = 49 + (\frac{10^{2}}{2 \cdot 50.5})

Next Step Evaluate

∴

E 0 = 49.990099009901m

LAST Step Rounding Answer

∴

E 0 = 49.9901m

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

The Elevation of Lowest Point on a Sag Curve is referred as point at which the tangent intersection points on a vertical curve.

Symbol: E_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Elevation of Lowest Point on a Sag 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

Rate of Change of Grade

The Rate of Change of Grade is referred as how quickly the grade (slope) of a roadway change over a specific distance.

Symbol: R_g

Measurement: Linear Atomic DensityUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Rate of Change of Grade

Other Formulas to find Elevation of Point of Vertical Curve

Go Elevation of Point of Vertical Curvature

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

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 PVC given Elevation of Lowest Point on Sag Curve?

Elevation of PVC given Elevation of Lowest Point on Sag Curve evaluator uses 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)) to evaluate the Elevation of Point of Vertical Curve, The Elevation of PVC given Elevation of Lowest Point on Sag Curve is given formula is defined as the elevation from the beginning point of the parabolic curve. Elevation of Point of Vertical Curve is denoted by E₀ symbol.

How to evaluate Elevation of PVC given Elevation of Lowest Point on Sag Curve using this online evaluator? To use this online evaluator for Elevation of PVC given Elevation of Lowest Point on Sag Curve, enter Elevation of Lowest Point on a Sag Curve (E_s), Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g) and hit the calculate button.

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

What is the formula to find Elevation of PVC given Elevation of Lowest Point on Sag Curve?

The formula of Elevation of PVC given Elevation of Lowest Point on Sag Curve is expressed as 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)). Here is an example- 49.9901 = 49+((10^2)/(2*50.5)).

How to calculate Elevation of PVC given Elevation of Lowest Point on Sag Curve?

With Elevation of Lowest Point on a Sag Curve (E_s), Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g) we can find Elevation of PVC given Elevation of Lowest Point on Sag Curve using the formula - 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)).

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

Can the Elevation of PVC given Elevation of Lowest Point on Sag Curve be negative?

No, the Elevation of PVC given Elevation of Lowest Point on Sag Curve, measured in Length cannot be negative.

Which unit is used to measure Elevation of PVC given Elevation of Lowest Point on Sag Curve?

Elevation of PVC given Elevation of Lowest Point on Sag Curve is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Elevation of PVC given Elevation of Lowest Point on Sag Curve can be measured.

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

​GoElevation of Point of Vertical Curvature Formula

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

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

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

Other Formulas to find Elevation of Point of Vertical Curve

Other formulas in Parabolic Curves category

How to Evaluate Elevation of PVC given Elevation of Lowest Point on Sag Curve?

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

Variable Name

GoElevation of Point of Vertical Curvature Formula