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Elevation of Lowest Point on Sag Curve Formula

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

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

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

Elevation of Lowest Point on Sag Curve Example

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

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

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

49.0099 = 50 - (\frac{10^{2}}{2 \cdot 50.5})

49.0099m = 50m - (\frac{10^{2}}{2 \cdot 50.5m⁻¹})

49.0099 = 50 - (\frac{10^{2}}{2 \cdot 50.5})

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Elevation of Lowest Point on Sag Curve Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E s = 50m - (\frac{10^{2}}{2 \cdot 50.5m⁻¹})

Next Step Prepare to Evaluate

∴

E s = 50 - (\frac{10^{2}}{2 \cdot 50.5})

Next Step Evaluate

∴

E s = 49.009900990099m

LAST Step Rounding Answer

∴

E s = 49.0099m

Elevation of Lowest Point on Sag Curve Formula Elements

Variables

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

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

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 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 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})

How to Evaluate Elevation of Lowest Point on Sag Curve?

Elevation of Lowest Point on Sag Curve evaluator uses Elevation of Lowest Point on a Sag Curve = Elevation of Point of Vertical Curve-((Grade at Beginning of Curve^2)/(2*Rate of Change of Grade)) to evaluate the Elevation of Lowest Point on a Sag Curve, The Elevation of Lowest Point on Sag Curve formula is defined as the elevation from PVC (point of vertical curvature) towards the lowest point of the sag curve. Elevation of Lowest Point on a Sag Curve is denoted by E_s symbol.

How to evaluate Elevation of Lowest Point on Sag Curve using this online evaluator? To use this online evaluator for Elevation of Lowest Point on Sag Curve, enter Elevation of Point of Vertical Curve (E₀), Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g) and hit the calculate button.

FAQs on Elevation of Lowest Point on Sag Curve

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

The formula of Elevation of Lowest Point on Sag Curve is expressed as Elevation of Lowest Point on a Sag Curve = Elevation of Point of Vertical Curve-((Grade at Beginning of Curve^2)/(2*Rate of Change of Grade)). Here is an example- 49.0099 = 50-((10^2)/(2*50.5)).

How to calculate Elevation of Lowest Point on Sag Curve?

With Elevation of Point of Vertical Curve (E₀), Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g) we can find Elevation of Lowest Point on Sag Curve using the formula - Elevation of Lowest Point on a Sag Curve = Elevation of Point of Vertical Curve-((Grade at Beginning of Curve^2)/(2*Rate of Change of Grade)).

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

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

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

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 Lowest Point on Sag Curve can be measured.

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Elevation of Lowest Point on Sag Curve Formula

Elevation of Lowest Point on Sag Curve Example

Elevation of Lowest Point on Sag Curve Solution

Elevation of Lowest Point on Sag Curve Formula Elements

Other formulas in Parabolic Curves category

How to Evaluate Elevation of Lowest Point on Sag Curve?

FAQs on Elevation of Lowest Point on Sag Curve

Variable Name