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Deflection Angle of First Chord Formula

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Deflection Angle 1 is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point. Check FAQs

δ1 = (\frac{C 1}{2 \cdot R Mid Ordinate})

δ1 - Deflection Angle 1?C₁ - First Sub Chord?R_{Mid Ordinate} - Radius of Curve for Mid Ordinate?

Deflection Angle of First Chord Example

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Here is how the Deflection Angle of First Chord equation looks like with Values.

Here is how the Deflection Angle of First Chord equation looks like with Units.

Here is how the Deflection Angle of First Chord equation looks like.

0.0625 = (\frac{5}{2 \cdot 40})

0.0625 = (\frac{5m}{2 \cdot 40m})

0.0625 = (\frac{5}{2 \cdot 40})

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Deflection Angle of First Chord Solution

Follow our step by step solution on how to calculate Deflection Angle of First Chord?

FIRST Step Consider the formula

δ1 = (\frac{C 1}{2 \cdot R Mid Ordinate})

Next Step Substitute values of Variables

∴

δ1 = (\frac{5m}{2 \cdot 40m})

Next Step Prepare to Evaluate

∴

δ1 = (\frac{5}{2 \cdot 40})

LAST Step Evaluate

∴

δ1 = 0.0625

Deflection Angle of First Chord Formula Elements

Variables

Deflection Angle 1

Deflection Angle 1 is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

Symbol: δ1

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Deflection Angle 1

First Sub Chord

First Sub Chord is the first chord drawn in the curve for setting out the curve using offsets from tangents.

Symbol: C₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First Sub Chord

Radius of Curve for Mid Ordinate

Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_{Mid Ordinate}

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Curve for Mid Ordinate

Other formulas in Setting Out Curve using Offsets from Chords category

Go Length of First Chord for given Deflection Angle of First Chord

C 1 = δ1 \cdot 2 \cdot R Mid Ordinate

Go First Offset given First Chord Length

O 1 = \frac{{C 1}^{2}}{2} \cdot R Mid Ordinate

Go Second Offset using Chord Lengths

O 2 = (\frac{C 2}{2} \cdot R Mid Ordinate) \cdot (C 1 + C 2)

Go N-th Offset using Chords Produced

O n = (\frac{C n}{2} \cdot R Mid Ordinate) \cdot (C n-1 + C n)

How to Evaluate Deflection Angle of First Chord?

Deflection Angle of First Chord evaluator uses Deflection Angle 1 = (First Sub Chord/(2*Radius of Curve for Mid Ordinate)) to evaluate the Deflection Angle 1, The Deflection Angle of First Chord formula is defined as the angle between the first sub-chord and the line deflected from a first chord with equal length from the point of the tangent. Deflection Angle 1 is denoted by δ1 symbol.

How to evaluate Deflection Angle of First Chord using this online evaluator? To use this online evaluator for Deflection Angle of First Chord, enter First Sub Chord (C₁) & Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) and hit the calculate button.

FAQs on Deflection Angle of First Chord

What is the formula to find Deflection Angle of First Chord?

The formula of Deflection Angle of First Chord is expressed as Deflection Angle 1 = (First Sub Chord/(2*Radius of Curve for Mid Ordinate)). Here is an example- 0.0625 = (5/(2*40)).

How to calculate Deflection Angle of First Chord?

With First Sub Chord (C₁) & Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) we can find Deflection Angle of First Chord using the formula - Deflection Angle 1 = (First Sub Chord/(2*Radius of Curve for Mid Ordinate)).

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