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

✖The Elevation of Lowest Point on a Sag Curve is referred as point at which the tangent intersection points on a vertical curve.ⓘ Elevation of Lowest Point on a Sag Curve [E_s]			+10% -10%
✖The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.ⓘ Grade at Beginning of Curve [G_I]			+10% -10%
✖The Rate of Change of Grade is referred as how quickly the grade (slope) of a roadway change over a specific distance.ⓘ Rate of Change of Grade [R_g]			+10% -10%

✖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.ⓘ Elevation of PVC given Elevation of Lowest Point on Sag Curve [E₀]

⎘ Copy

👎

Formula

✖

Elevation of PVC given Elevation of Lowest Point on Sag Curve

Formula

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

Example

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

Calculator

LaTeX

Reset

👍

Download Parabolic and Transition Curves Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
E₀ = E_s+((G_I^2)/(2*R_g))
This formula uses 4 Variables

Variables Used

Elevation of Point of Vertical Curve - (Measured in Meter) - 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.
Elevation of Lowest Point on a Sag Curve - (Measured in Meter) - The Elevation of Lowest Point on a Sag Curve is referred as point at which the tangent intersection points on a vertical curve.
Grade at Beginning of Curve - The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.
Rate of Change of Grade - (Measured in Per Meter) - The Rate of Change of Grade is referred as how quickly the grade (slope) of a roadway change over a specific distance.

STEP 1: Convert Input(s) to Base Unit

Elevation of Lowest Point on a Sag Curve: 49 Meter --> 49 Meter No Conversion Required
Grade at Beginning of Curve: 10 --> No Conversion Required
Rate of Change of Grade: 50.5 Per Meter --> 50.5 Per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E₀ = E_s+((G_I^2)/(2*R_g)) --> 49+((10^2)/(2*50.5))

Evaluating ... ...

E₀ = 49.990099009901

STEP 3: Convert Result to Output's Unit

49.990099009901 Meter --> No Conversion Required

FINAL ANSWER

49.990099009901 ≈ 49.9901 Meter <-- Elevation of Point of Vertical Curve

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Transportation Engineering » Highway Engineering » Highway and Road » Parabolic and Transition Curves » Parabolic Curves » Elevation of PVC given Elevation of Lowest Point on Sag Curve

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< Parabolic Curves Calculators

Elevation of Point of Vertical Curvature

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

Elevation of Point of Vertical Intersection

Go Elevation of Point of Vertical Intersection = Elevation of Point of Vertical Curve+(1/2)*(Length of Curve*Grade at Beginning of Curve)

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

Distance from Point of Vertical Curve 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 PVC given Elevation of Lowest Point on Sag Curve 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))
E₀ = E_s+((G_I^2)/(2*R_g))

What is elevation of PVC?

Elevation of PVC(point of vertical curvature) can be describes as the tangent intersection point of the curvature.generally elevation of roads can be measured with length.

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

Elevation of PVC given Elevation of Lowest Point on Sag Curve calculator 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 calculate 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 calculate Elevation of PVC given Elevation of Lowest Point on Sag Curve using this online calculator? To use this online calculator 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. Here is how the Elevation of PVC given Elevation of Lowest Point on Sag Curve calculation can be explained with given input values -> 49.9901 = 49+((10^2)/(2*50.5)).

FAQ

What is Elevation of PVC given Elevation of Lowest Point on Sag 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 and is represented as E₀ = E_s+((G_I^2)/(2*R_g)) or 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)). The Elevation of Lowest Point on a Sag Curve is referred as point at which the tangent intersection points on a vertical curve, The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve & The Rate of Change of Grade is referred as how quickly the grade (slope) of a roadway change over a specific distance.

How to calculate Elevation of PVC given Elevation of Lowest Point on Sag 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 is calculated using 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 calculate Elevation of PVC given Elevation of Lowest Point on Sag Curve, you need Elevation of Lowest Point on a Sag Curve (E_s), Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g). With our tool, you need to enter the respective value for Elevation of Lowest Point on a Sag Curve, Grade at Beginning of Curve & Rate of Change of Grade and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Elevation of Point of Vertical Curve?

In this formula, Elevation of Point of Vertical Curve uses Elevation of Lowest Point on a Sag Curve, Grade at Beginning of Curve & Rate of Change of Grade. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search