Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same Calculator

✖Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.ⓘ Length of Curve [L_c]			+10% -10%
✖Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.ⓘ Height of Vertical Curves [h]			+10% -10%
✖Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.ⓘ Upgrade [g₁]			+10% -10%
✖Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.ⓘ Downgrade [g₂]			+10% -10%

✖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.ⓘ Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same [SD]

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Formula

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Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same

Formula

`"SD" = ("L"_{"c"}/2)+(400*"h"/(("g"_{"1"})-("g"_{"2"})))`

Example

`"491.7838m"=("616m"/2)+(400*"1.7m"/(("2.2")-("-1.5")))`

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Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade)))
SD = (L_c/2)+(400*h/((g₁)-(g₂)))
This formula uses 5 Variables

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 Vertical Curves - (Measured in Meter) - Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.
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 Vertical Curves: 1.7 Meter --> 1.7 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 = (L_c/2)+(400*h/((g₁)-(g₂))) --> (616/2)+(400*1.7/((2.2)-((-1.5))))

Evaluating ... ...

SD = 491.783783783784

STEP 3: Convert Result to Output's Unit

491.783783783784 Meter --> No Conversion Required

FINAL ANSWER

491.783783783784 ≈ 491.7838 Meter <-- Sight Distance SSD

(Calculation completed in 00.004 seconds)

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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

Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same Formula

Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade)))
SD = (L_c/2)+(400*h/((g₁)-(g₂)))

How is the Length of a Vertical Curve determined?

The length of a vertical curve is determined by several factors, including the design speed, the grade of the roadway, and the height of the vertical curve.

How to Calculate Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same?

Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same calculator uses Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade))) to calculate the Sight Distance SSD, The Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same is defined as a condition where the sight distance is larger but the height of two vehicles or the observer and the object is same. ie. h1=h2. Sight Distance SSD is denoted by SD symbol.

How to calculate Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same using this online calculator? To use this online calculator for Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same, enter Length of Curve (L_c), Height of Vertical Curves (h), Upgrade (g₁) & Downgrade (g₂) and hit the calculate button. Here is how the Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same calculation can be explained with given input values -> 491.7838 = (616/2)+(400*1.7/((2.2)-((-1.5)))).

FAQ

What is Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same?

The Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same is defined as a condition where the sight distance is larger but the height of two vehicles or the observer and the object is same. ie. h1=h2 and is represented as SD = (L_c/2)+(400*h/((g₁)-(g₂))) or Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade))). Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate, Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright, 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 and Both Height of Observer and Object is Same?

The Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same is defined as a condition where the sight distance is larger but the height of two vehicles or the observer and the object is same. ie. h1=h2 is calculated using Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade))). To calculate Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same, you need Length of Curve (L_c), Height of Vertical Curves (h), Upgrade (g₁) & Downgrade (g₂). With our tool, you need to enter the respective value for Length of Curve, Height of Vertical Curves, 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 Vertical Curves, Upgrade & Downgrade. We can use 2 other way(s) to calculate the same, which is/are as follows -

Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
Sight Distance SSD = sqrt((800*Height of Vertical Curves*Length of Curve)/((Upgrade)-(Downgrade)))

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