Sight Distance when Length of Curve is Less Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
SD = 0.5*Lc+(100*(sqrt(H)+sqrt(h2))^2)/((g1)-(g2))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
Height of Observer - (Measured in Meter) - Height of Observer is the length or vertical length of the observer.
Height of Object - (Measured in Meter) - Height of Object is the vertical distance of the object which is being observed.
Upgrade - Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.
Downgrade - Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.
STEP 1: Convert Input(s) to Base Unit
Length of Curve: 616 Meter --> 616 Meter No Conversion Required
Height of Observer: 1.2 Meter --> 1.2 Meter No Conversion Required
Height of Object: 2 Meter --> 2 Meter No Conversion Required
Upgrade: 2.2 --> No Conversion Required
Downgrade: -1.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SD = 0.5*Lc+(100*(sqrt(H)+sqrt(h2))^2)/((g1)-(g2)) --> 0.5*616+(100*(sqrt(1.2)+sqrt(2))^2)/((2.2)-((-1.5)))
Evaluating ... ...
SD = 478.226666945025
STEP 3: Convert Result to Output's Unit
478.226666945025 Meter --> No Conversion Required
FINAL ANSWER
478.226666945025 โ‰ˆ 478.2267 Meter <-- Sight Distance SSD
(Calculation completed in 00.004 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 500+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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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

Sight Distance when Length of Curve is Less Formula

Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
SD = 0.5*Lc+(100*(sqrt(H)+sqrt(h2))^2)/((g1)-(g2))

What are the consequences of poorly designed Vertical Curves?

Poorly designed vertical curves can lead to accidents, loss of control of vehicles, and increased wear and tear on vehicles and roadways, as well as decreased safety for pedestrians and cyclists.

How to Calculate Sight Distance when Length of Curve is Less?

Sight Distance when Length of Curve is Less calculator uses Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)) to calculate the Sight Distance SSD, The Sight Distance when Length of Curve is Less is defined as a condition where the difference between two vehicles or sight distance is large compared to the length of vertical curve. Sight Distance SSD is denoted by SD symbol.

How to calculate Sight Distance when Length of Curve is Less using this online calculator? To use this online calculator for Sight Distance when Length of Curve is Less, enter Length of Curve (Lc), Height of Observer (H), Height of Object (h2), Upgrade (g1) & Downgrade (g2) and hit the calculate button. Here is how the Sight Distance when Length of Curve is Less calculation can be explained with given input values -> 478.2267 = 0.5*616+(100*(sqrt(1.2)+sqrt(2))^2)/((2.2)-((-1.5))).

FAQ

What is Sight Distance when Length of Curve is Less?
The Sight Distance when Length of Curve is Less is defined as a condition where the difference between two vehicles or sight distance is large compared to the length of vertical curve and is represented as SD = 0.5*Lc+(100*(sqrt(H)+sqrt(h2))^2)/((g1)-(g2)) or Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)). Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate, Height of Observer is the length or vertical length of the observer, Height of Object is the vertical distance of the object which is being observed, Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by % & Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.
How to calculate Sight Distance when Length of Curve is Less?
The Sight Distance when Length of Curve is Less is defined as a condition where the difference between two vehicles or sight distance is large compared to the length of vertical curve is calculated using Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)). To calculate Sight Distance when Length of Curve is Less, you need Length of Curve (Lc), Height of Observer (H), Height of Object (h2), Upgrade (g1) & Downgrade (g2). With our tool, you need to enter the respective value for Length of Curve, Height of Observer, Height of Object, Upgrade & Downgrade 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 Sight Distance SSD?
In this formula, Sight Distance SSD uses Length of Curve, Height of Observer, Height of Object, Upgrade & Downgrade. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade)))
  • Sight Distance SSD = sqrt((800*Height of Vertical Curves*Length of Curve)/((Upgrade)-(Downgrade)))
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