Length of Curve given Change in Grade where S is more than L Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade)
Lc = 2*SD-(800*h/N)
This formula uses 4 Variables
Variables Used
Length of Curve - (Measured in Meter) - Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.
Sight Distance SSD - (Measured in Meter) - Sight Distance SSD is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.
Height of Vertical Curves - (Measured in Meter) - Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.
Change in Grade - Change in grade is the algebraic sum of two grades in the vertical curve. It is expressed in percentage.
STEP 1: Convert Input(s) to Base Unit
Sight Distance SSD: 490 Meter --> 490 Meter No Conversion Required
Height of Vertical Curves: 1.7 Meter --> 1.7 Meter No Conversion Required
Change in Grade: 3.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lc = 2*SD-(800*h/N) --> 2*490-(800*1.7/3.6)
Evaluating ... ...
Lc = 602.222222222222
STEP 3: Convert Result to Output's Unit
602.222222222222 Meter --> No Conversion Required
FINAL ANSWER
602.222222222222 โ‰ˆ 602.2222 Meter <-- Length of Curve
(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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19 Surveying Vertical Curves Calculators

Sight Distance when Length of Curve is Less
Go Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
Length of Curve when Sight Distance is More
Go Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
Length of Curve when S is Less than L
Go Length of Curve = Sight Distance SSD^2*((Upgrade)-(Downgrade))/(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)
Velocity given Length
Go Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade)))
Sight Distance when S is Less than L and h1 and h2 are same
Go Sight Distance SSD = sqrt((800*Height of Vertical Curves*Length of Curve)/((Upgrade)-(Downgrade)))
Sight Distance when S is Less than L
Go Sight Distance = (1/Tangential Correction)*(sqrt(Height of Observer)+sqrt(Height of Object))
Allowable Centrifugal Acceleration given Length
Go Allowable Centrifugal Acceleration = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Length of Curve)
Length of Curve Based on Centrifugal Ratio
Go Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration)
Upgrade given Length based on Centrifugal Ratio
Go Upgrade = (Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)+(Downgrade)
Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same
Go Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade)))
Downgrade given Length based on Centrifugal Ratio
Go Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)
Length of Curve when S is Less than L and h1 and h2 are same
Go Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves)
Length of Curve when Height of Observer and Object are Same
Go Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))
Length of Curve given Change in Grade where S is more than L
Go Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade)
Length given S is Less than L and Change of Grade
Go Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)
Tangential Correction
Go Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords
Permissible Grade given Length
Go Permissible Rate = Change in Grade/Length of Vertical Curve
Change of Grade given Length
Go Change in Grade = Length of Vertical Curve*Permissible Rate
Length of Vertical Curve
Go Length of Vertical Curve = Change in Grade/Permissible Rate

Length of Curve given Change in Grade where S is more than L Formula

Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade)
Lc = 2*SD-(800*h/N)

What Factors affect the Design of Vertical Curves?

Several factors affect the design of vertical curves, including the design speed of the roadway or railway, the vertical alignment of the roadway or railway, the design vehicle or train characteristics, the horizontal curvature of the roadway or railway, and the desired stopping sight distance.

How to Calculate Length of Curve given Change in Grade where S is more than L?

Length of Curve given Change in Grade where S is more than L calculator uses Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade) to calculate the Length of Curve, The Length of Curve given Change in Grade where S is more than L is defined for the condition where the sight distance is more than length of curve. The change in grade is the algebraic sum of both upgrade and downgrade. Length of Curve is denoted by Lc symbol.

How to calculate Length of Curve given Change in Grade where S is more than L using this online calculator? To use this online calculator for Length of Curve given Change in Grade where S is more than L, enter Sight Distance SSD (SD), Height of Vertical Curves (h) & Change in Grade (N) and hit the calculate button. Here is how the Length of Curve given Change in Grade where S is more than L calculation can be explained with given input values -> 602.2222 = 2*490-(800*1.7/3.6).

FAQ

What is Length of Curve given Change in Grade where S is more than L?
The Length of Curve given Change in Grade where S is more than L is defined for the condition where the sight distance is more than length of curve. The change in grade is the algebraic sum of both upgrade and downgrade and is represented as Lc = 2*SD-(800*h/N) or Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade). Sight Distance SSD is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road, Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright & Change in grade is the algebraic sum of two grades in the vertical curve. It is expressed in percentage.
How to calculate Length of Curve given Change in Grade where S is more than L?
The Length of Curve given Change in Grade where S is more than L is defined for the condition where the sight distance is more than length of curve. The change in grade is the algebraic sum of both upgrade and downgrade is calculated using Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade). To calculate Length of Curve given Change in Grade where S is more than L, you need Sight Distance SSD (SD), Height of Vertical Curves (h) & Change in Grade (N). With our tool, you need to enter the respective value for Sight Distance SSD, Height of Vertical Curves & Change in 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 Sight Distance SSD, Height of Vertical Curves & Change in Grade. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration)
  • Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
  • Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))
  • Length of Curve = Sight Distance SSD^2*((Upgrade)-(Downgrade))/(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)
  • Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves)
  • Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)
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