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Length of curve when rate of change of grade is given in parabolic curves Calculator

Category Engineering ↺
Engineering Civil ↺
Civil Highway and road ↺
Highway-And-Road Parabolic curves ↺
✖Grade at end of curve can be described as the grade at one end of the parabolic curveⓘ Grade at end of curve [G2]
+10%
-10%
✖Grade at beginning of curve can be described as the grade at the beginning of the parabolic curveⓘ Grade at beginning of curve [1]
+10%
-10%
✖Rate of change of grade is a rate that describes how one grade changes in relation to another.ⓘ Rate of change of grade [R
+10%
-10%
✖Length of curve is defined as the arc length in a parabolic curves.ⓘ Length of curve when rate of change of grade is given in parabolic curves [L
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M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 100+ more calculators!
Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has verified this Calculator and 100+ more calculators!

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
Elevation of lowest point on a sag curve
Elevation of lowest point on a sag curve= Elevation of PVC-((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
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

5 Other formulas that calculate the same Output

Length of curve (chord) determined by central angle when central angle for portion of curve is given
Length of curve= (100*Central angle for portion of curve)/Degree of curve GO
Length of curve when central angle for portion of curve is given
Length of curve= (Central angle for portion of curve*100)/Degree of curve GO
Length of curve (chord) determined by central angle when tangent offset for chord of length is given
Length of curve= sqrt(Tangent offset*2*Radius of the circular curve) GO
Length of curve (chord) determined by central angle when chord offset for chord of length is given
Length of curve= sqrt(Chord offset*Radius of the circular curve) GO
Length of curve(Exact)
Length of curve=(100*Central angle of curve)/Degree of curve GO

Length of curve when rate of change of grade is given in parabolic curves Formula

Length of curve= (Grade at end of curve-Grade at beginning of curve)/Rate of change of grade
L<sub>= (G<sub>2</sub>-<sub>1</sub>)/R<sub>
More formulas
Rate of change of grade 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 lowest point on a sag curve GO
Elevation of PVC when elevation of lowest point on a sag curve is given GO

What is Rate of Change of Grade ?

Rate of change of grade can be denoted as the rate at which change in grade of one end of the curve to another end of the curve

How to Calculate Length of curve when rate of change of grade is given in parabolic curves?

Length of curve when rate of change of grade is given in parabolic curves calculator uses Length of curve= (Grade at end of curve-Grade at beginning of curve)/Rate of change of grade to calculate the Length of curve, The Length of curve when rate of change of grade is given in parabolic curves formula is defined as the length of arc obtained in a parabolic curve in roads. Length of curve and is denoted by L symbol.

How to calculate Length of curve when rate of change of grade is given in parabolic curves using this online calculator? To use this online calculator for Length of curve when rate of change of grade is given in parabolic curves, enter Grade at end of curve (G2), Grade at beginning of curve (1) and Rate of change of grade (R and hit the calculate button. Here is how the Length of curve when rate of change of grade is given in parabolic curves calculation can be explained with given input values -> -0.04 = (8-10)/50.

FAQ

What is Length of curve when rate of change of grade is given in parabolic curves?
The Length of curve when rate of change of grade is given in parabolic curves formula is defined as the length of arc obtained in a parabolic curve in roads and is represented as L2-1)/R or Length of curve= (Grade at end of curve-Grade at beginning of curve)/Rate of change of grade. Grade at end of curve can be described as the grade at one end of the parabolic curve, 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 Length of curve when rate of change of grade is given in parabolic curves?
The Length of curve when rate of change of grade is given in parabolic curves formula is defined as the length of arc obtained in a parabolic curve in roads is calculated using Length of curve= (Grade at end of curve-Grade at beginning of curve)/Rate of change of grade. To calculate Length of curve when rate of change of grade is given in parabolic curves, you need Grade at end of curve (G2), Grade at beginning of curve (1) and Rate of change of grade (R. With our tool, you need to enter the respective value for Grade at end of curve, 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.
How many ways are there to calculate Length of curve?
In this formula, Length of curve uses Grade at end of curve, Grade at beginning of curve and Rate of change of grade. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Length of curve=(100*Central angle of curve)/Degree of curve
  • Length of curve= (Central angle for portion of curve*100)/Degree of curve
  • Length of curve= (100*Central angle for portion of curve)/Degree of curve
  • Length of curve= sqrt(Tangent offset*2*Radius of the circular curve)
  • Length of curve= sqrt(Chord offset*Radius of the circular curve)
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