M Naveen
National Institute of Technology (NIT), Warangal
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Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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9 Other formulas that you can solve using the same Inputs

elevation of point x distant from PVC(point of vertical curvature)
Elevation of point x distance from PVC= Elevation of PVC+(Grade at beginning of curve*Distance of any point on the curve from the PVC)+(1/2)*(Rate of change of grade*Distance of any point on the curve from the PVC^2) GO
grade at beginning of curve when elevation of point x distant from PVC is given
Grade at beginning of curve=(Elevation of point x distance from PVC-Elevation of PVC-(1/2)*Rate of change of grade*Distance of any point on the curve from the PVC^2)/Distance of any point on the curve from the PVC GO
Elevation of PVC when elevation of lowest point on a sag curve is given
Elevation of PVC= Elevation of lowest point on a sag curve+((Grade at beginning of curve^2)/(2*Rate of change of grade)) GO
Rate of change of grade when distance from PVC to lowest point on a sag curve is given
Rate of change of grade= -(Grade at beginning of curve/Distance from PVC to lowest point on a sag curve) GO
Distance from PVC to Lowest Point on a Sag Curve
Distance from PVC to lowest point on a sag curve= -(Grade at beginning of curve/Rate of change of grade) GO
Rate of change of grade in parabolic curves
Rate of change of grade= (Grade at end of curve-Grade at beginning of curve)/ Length of curve GO
Length of curve when rate of change of grade is given in parabolic curves
Length of curve= (Grade at end of curve-Grade at beginning of curve)/Rate of change of grade GO
Elevation of PVI(point of vertical intersection) when elevation of PVC is given
Elevation of PVI= Elevation of PVC+(1/2)*(Length of curve*Grade at beginning of curve) GO
Elevation of PVC(point of vertical curvature)
Elevation of PVC= Elevation of PVI-(1/2)*(Length of curve*Grade at beginning of curve) GO

Elevation of lowest point on a sag curve Formula

Elevation of lowest point on a sag curve= Elevation of PVC-((Grade at beginning of curve^2)/(2*Rate of change of grade))
E<sub>s</sub>= E<sub>0</sub>-((<sub>1</sub>^2)/(2*R<sub>))
More formulas
Rate of change of grade in parabolic curves GO
Length of curve when rate of change of grade is given in parabolic curves GO
Elevation of PVC(point of vertical curvature) GO
Elevation of PVI(point of vertical intersection) when elevation of PVC is given GO
elevation of point x distant from PVC(point of vertical curvature) GO
grade at beginning of curve when elevation of point x distant from PVC is given GO
Distance from PVC to Lowest Point on a Sag Curve GO
Rate of change of grade when distance from PVC to lowest point on a sag curve is given GO
Elevation of PVC when elevation of lowest point on a sag curve is given GO

What is lowest point on a sag curve?

The lowest point on a sag curve is the point at which the tangent intersection point of the sag curve.

How to Calculate Elevation of lowest point on a sag curve?

Elevation of lowest point on a sag curve calculator uses Elevation of lowest point on a sag curve= Elevation of PVC-((Grade at beginning of curve^2)/(2*Rate of change of grade)) to calculate the Elevation of lowest point on a sag curve, The Elevation of lowest point on a 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 and is denoted by Es symbol.

How to calculate Elevation of lowest point on a sag curve using this online calculator? To use this online calculator for Elevation of lowest point on a sag curve, enter Elevation of PVC (E0), Grade at beginning of curve (1) and Rate of change of grade (R and hit the calculate button. Here is how the Elevation of lowest point on a sag curve calculation can be explained with given input values -> 49 = 50-((10^2)/(2*50)).

FAQ

What is Elevation of lowest point on a sag curve?
The Elevation of lowest point on a sag curve formula is defined as the elevation from PVC(point of vertical curvature) towards the lowest point of the sag curve and is represented as Es= E0-((1^2)/(2*R or Elevation of lowest point on a sag curve= Elevation of PVC-((Grade at beginning of curve^2)/(2*Rate of change of grade)). Elevation of PVC(point of vertical curvature) can be described as the vertical line passing through the point of curvature, Grade at beginning of curve can be described as the grade at the beginning of the parabolic curve and Rate of change of grade is a rate that describes how one grade changes in relation to another.
How to calculate Elevation of lowest point on a sag curve?
The Elevation of lowest point on a sag curve formula is defined as the elevation from PVC(point of vertical curvature) towards the lowest point of the sag curve is calculated using Elevation of lowest point on a sag curve= Elevation of PVC-((Grade at beginning of curve^2)/(2*Rate of change of grade)). To calculate Elevation of lowest point on a sag curve, you need Elevation of PVC (E0), Grade at beginning of curve (1) and Rate of change of grade (R. With our tool, you need to enter the respective value for Elevation of PVC, Grade at beginning of curve and 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.
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