Length of Curve using Rate of change of Grade in Parabolic Curves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade
LPc = (G2-(-GI))/Rg
This formula uses 4 Variables
Variables Used
Length of Parabolic Curves - (Measured in Meter) - The Length of Parabolic Curves is referred as horizontal distance between specific points on the curve.
Grade at End of Curve - The Grade at End of Curve referred as the grade at one end of the parabolic 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
Grade at End of Curve: 8 --> 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
LPc = (G2-(-GI))/Rg --> (8-(-10))/50.5
Evaluating ... ...
LPc = 0.356435643564356
STEP 3: Convert Result to Output's Unit
0.356435643564356 Meter --> No Conversion Required
FINAL ANSWER
0.356435643564356 0.356436 Meter <-- Length of Parabolic Curves
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal
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National Institute of Technology Karnataka (NITK), Surathkal
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Length of Curve using Rate of change of Grade in Parabolic Curves
​ LaTeX ​ Go Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade
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​ LaTeX ​ Go Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade)

Length of Curve using Rate of change of Grade in Parabolic Curves Formula

​LaTeX ​Go
Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade
LPc = (G2-(-GI))/Rg

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 using Rate of change of Grade in Parabolic Curves?

Length of Curve using Rate of change of Grade in Parabolic Curves calculator uses Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade to calculate the Length of Parabolic Curves, The Length of Curve using Rate of change of Grade in Parabolic Curves formula is defined as the length of arc obtained in a parabolic curve in roads. Length of Parabolic Curves is denoted by LPc symbol.

How to calculate Length of Curve using Rate of change of Grade in Parabolic Curves using this online calculator? To use this online calculator for Length of Curve using Rate of change of Grade in Parabolic Curves, enter Grade at End of Curve (G2), Grade at Beginning of Curve (GI) & Rate of Change of Grade (Rg) and hit the calculate button. Here is how the Length of Curve using Rate of change of Grade in Parabolic Curves calculation can be explained with given input values -> 0.356436 = (8-(-10))/50.5.

FAQ

What is Length of Curve using Rate of change of Grade in Parabolic Curves?
The Length of Curve using Rate of change of Grade in Parabolic Curves formula is defined as the length of arc obtained in a parabolic curve in roads and is represented as LPc = (G2-(-GI))/Rg or Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade. The Grade at End of Curve referred as the grade at one end of the parabolic 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 Length of Curve using Rate of change of Grade in Parabolic Curves?
The Length of Curve using Rate of change of Grade in Parabolic Curves formula is defined as the length of arc obtained in a parabolic curve in roads is calculated using Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade. To calculate Length of Curve using Rate of change of Grade in Parabolic Curves, you need Grade at End of Curve (G2), Grade at Beginning of Curve (GI) & Rate of Change of Grade (Rg). With our tool, you need to enter the respective value for Grade at End of 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.
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