Tangential Correction Calculator

✖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%
✖Number of chords is the number of 30m chords or chords in both the sides of apex of curve.ⓘ Number of Chords [n]			+10% -10%

✖Tangential Correction is the elevation difference between the curve and the tangent to it.ⓘ Tangential Correction [c]

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Formula

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Tangential Correction

Formula

`"c" = ("g"_{"1"}-"g"_{"2"})/4*"n"`

Example

`"0.41625"=("2.2"-"-1.5")/4*"0.45"`

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Tangential Correction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords
c = (g₁-g₂)/4*n
This formula uses 4 Variables

Variables Used

Tangential Correction - Tangential Correction is the elevation difference between the curve and the tangent to it.
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 %.
Number of Chords - Number of chords is the number of 30m chords or chords in both the sides of apex of curve.

STEP 1: Convert Input(s) to Base Unit

Upgrade: 2.2 --> No Conversion Required
Downgrade: -1.5 --> No Conversion Required
Number of Chords: 0.45 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (g₁-g₂)/4*n --> (2.2-(-1.5))/4*0.45

Evaluating ... ...

c = 0.41625

STEP 3: Convert Result to Output's Unit

0.41625 --> No Conversion Required

FINAL ANSWER

0.41625 <-- Tangential Correction

(Calculation completed in 00.004 seconds)

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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

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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

Tangential Correction Formula

Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords
c = (g₁-g₂)/4*n

What are the Safety Criteria to be followed in Vertical Curve design?

Length of the valley curve for headlight distance may be determined for two conditions:
(1) length of the valley curve greater than stopping sight distance and
(2) length of the valley curve less than the stopping sight distance.

How to Calculate Tangential Correction?

Tangential Correction calculator uses Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords to calculate the Tangential Correction, The Tangential Correction is defined as the difference in elevation between a vertical curve and a tangent to it. It varies as the square of the horizontal distance from the point of tangency. Tangential Correction is denoted by c symbol.

How to calculate Tangential Correction using this online calculator? To use this online calculator for Tangential Correction, enter Upgrade (g₁), Downgrade (g₂) & Number of Chords (n) and hit the calculate button. Here is how the Tangential Correction calculation can be explained with given input values -> 0.41625 = (2.2-(-1.5))/4*0.45.

FAQ

What is Tangential Correction?

The Tangential Correction is defined as the difference in elevation between a vertical curve and a tangent to it. It varies as the square of the horizontal distance from the point of tangency and is represented as c = (g₁-g₂)/4*n or Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords. 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 % & Number of chords is the number of 30m chords or chords in both the sides of apex of curve.

How to calculate Tangential Correction?

The Tangential Correction is defined as the difference in elevation between a vertical curve and a tangent to it. It varies as the square of the horizontal distance from the point of tangency is calculated using Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords. To calculate Tangential Correction, you need Upgrade (g₁), Downgrade (g₂) & Number of Chords (n). With our tool, you need to enter the respective value for Upgrade, Downgrade & Number of Chords 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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