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Tangential Correction Formula

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Tangential Correction is the elevation difference between the curve and the tangent to it. Check FAQs

c = \frac{g 1 - g 2}{4} \cdot n

c - Tangential Correction?g₁ - Upgrade?g₂ - Downgrade?n - Number of Chords?

Tangential Correction Example

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With units

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Here is how the Tangential Correction equation looks like with Values.

Here is how the Tangential Correction equation looks like with Units.

Here is how the Tangential Correction equation looks like.

0.4162 = \frac{2.2 - -1.5}{4} \cdot 0.45

0.4162 = \frac{2.2 - -1.5}{4} \cdot 0.45

0.4162 = \frac{2.2 - -1.5}{4} \cdot 0.45

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Tangential Correction Solution

Follow our step by step solution on how to calculate Tangential Correction?

FIRST Step Consider the formula

c = \frac{g 1 - g 2}{4} \cdot n

Next Step Substitute values of Variables

∴

c = \frac{2.2 - -1.5}{4} \cdot 0.45

Next Step Prepare to Evaluate

∴

c = \frac{2.2 - -1.5}{4} \cdot 0.45

Next Step Evaluate

∴

c = 0.41625

LAST Step Rounding Answer

∴

c = 0.4162

Tangential Correction Formula Elements

Variables

Tangential Correction

Tangential Correction is the elevation difference between the curve and the tangent to it.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tangential Correction

Upgrade

Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.

Symbol: g₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Upgrade

Downgrade

Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.

Symbol: g₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Downgrade

Number of Chords

Number of chords is the number of 30m chords or chords in both the sides of apex of curve.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Chords

Other formulas in Surveying Vertical Curves category

Go Length of Vertical Curve

L = \frac{N}{P N}

Go Change of Grade given Length

N = L \cdot P N

Go Permissible Grade given Length

P N = \frac{N}{L}

Go Length of Curve Based on Centrifugal Ratio

L c = ((g 1) - (g 2)) \cdot \frac{V^{2}}{100 \cdot f}

How to Evaluate Tangential Correction?

Tangential Correction evaluator uses Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords to evaluate 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 evaluate Tangential Correction using this online evaluator? To use this online evaluator for Tangential Correction, enter Upgrade (g₁), Downgrade (g₂) & Number of Chords (n) and hit the calculate button.

FAQs on Tangential Correction

What is the formula to find Tangential Correction?

The formula of Tangential Correction is expressed as Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords. Here is an example- 0.41625 = (2.2-(-1.5))/4*0.45.

How to calculate Tangential Correction?

With Upgrade (g₁), Downgrade (g₂) & Number of Chords (n) we can find Tangential Correction using the formula - Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords.

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Tangential Correction Formula

Tangential Correction Example

Tangential Correction Solution

Tangential Correction Formula Elements

Other formulas in Surveying Vertical Curves category

How to Evaluate Tangential Correction?

FAQs on Tangential Correction

Variable Name