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Second Offset using Chord Lengths Formula

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Second Offset is the length of second offset created from the tangent point. Check FAQs

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

O₂ - Second Offset?C₂ - Second Sub Chord?R_{Mid Ordinate} - Radius of Curve for Mid Ordinate?C₁ - First Sub Chord?

Second Offset using Chord Lengths Example

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Here is how the Second Offset using Chord Lengths equation looks like with Values.

Here is how the Second Offset using Chord Lengths equation looks like with Units.

Here is how the Second Offset using Chord Lengths equation looks like.

298.2 = (\frac{2.1}{2} \cdot 40) \cdot (5 + 2.1)

298.2m = (\frac{2.1m}{2} \cdot 40m) \cdot (5m + 2.1m)

298.2 = (\frac{2.1}{2} \cdot 40) \cdot (5 + 2.1)

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Second Offset using Chord Lengths Solution

Follow our step by step solution on how to calculate Second Offset using Chord Lengths?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

O 2 = (\frac{2.1m}{2} \cdot 40m) \cdot (5m + 2.1m)

Next Step Prepare to Evaluate

∴

O 2 = (\frac{2.1}{2} \cdot 40) \cdot (5 + 2.1)

LAST Step Evaluate

∴

O 2 = 298.2m

Second Offset using Chord Lengths Formula Elements

Variables

Second Offset

Second Offset is the length of second offset created from the tangent point.

Symbol: O₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Second Offset

Second Sub Chord

Second Sub Chord is the length of the second chord made for setting out the curve using offsets from tangents.

Symbol: C₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Second 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

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

Other formulas in Setting Out Curve using Offsets from Chords category

Go Deflection Angle of First Chord

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

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 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 Second Offset using Chord Lengths?

Second Offset using Chord Lengths evaluator uses Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord) to evaluate the Second Offset, The Second Offset using Chord Lengths formula is defined for the length of the second offset from tangent point offsets. The second one depends on the first sub-chord and the second sub-chord. Second Offset is denoted by O₂ symbol.

How to evaluate Second Offset using Chord Lengths using this online evaluator? To use this online evaluator for Second Offset using Chord Lengths, enter Second Sub Chord (C₂), Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & First Sub Chord (C₁) and hit the calculate button.

FAQs on Second Offset using Chord Lengths

What is the formula to find Second Offset using Chord Lengths?

The formula of Second Offset using Chord Lengths is expressed as Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord). Here is an example- 298.2 = (2.1/2*40)*(5+2.1).

How to calculate Second Offset using Chord Lengths?

With Second Sub Chord (C₂), Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & First Sub Chord (C₁) we can find Second Offset using Chord Lengths using the formula - Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord).

Can the Second Offset using Chord Lengths be negative?

No, the Second Offset using Chord Lengths, measured in Length cannot be negative.

Which unit is used to measure Second Offset using Chord Lengths?

Second Offset using Chord Lengths is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Second Offset using Chord Lengths can be measured.

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Second Offset using Chord Lengths Formula

Second Offset using Chord Lengths Example

Second Offset using Chord Lengths Solution

Second Offset using Chord Lengths Formula Elements

Other formulas in Setting Out Curve using Offsets from Chords category

How to Evaluate Second Offset using Chord Lengths?

FAQs on Second Offset using Chord Lengths

Variable Name