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First Offset given First Chord Length Formula

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First Offset is the length of the first offset from the initial tangent point in order to set out the curve. Check FAQs

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

O₁ - First Offset?C₁ - First Sub Chord?R_{Mid Ordinate} - Radius of Curve for Mid Ordinate?

First Offset given First Chord Length Example

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Here is how the First Offset given First Chord Length equation looks like with Values.

Here is how the First Offset given First Chord Length equation looks like with Units.

Here is how the First Offset given First Chord Length equation looks like.

500 = \frac{5^{2}}{2} \cdot 40

500m = \frac{{5m}^{2}}{2} \cdot 40m

500 = \frac{5^{2}}{2} \cdot 40

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First Offset given First Chord Length Solution

Follow our step by step solution on how to calculate First Offset given First Chord Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

O 1 = \frac{{5m}^{2}}{2} \cdot 40m

Next Step Prepare to Evaluate

∴

O 1 = \frac{5^{2}}{2} \cdot 40

LAST Step Evaluate

∴

O 1 = 500m

First Offset given First Chord Length Formula Elements

Variables

First Offset

First Offset is the length of the first offset from the initial tangent point in order to set out the curve.

Symbol: O₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First Offset

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 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 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 First Offset given First Chord Length?

First Offset given First Chord Length evaluator uses First Offset = First Sub Chord^2/2*Radius of Curve for Mid Ordinate to evaluate the First Offset, The First Offset given First Chord Length formula is defined as the length of a first offset drawn by considering the first deflection angle and sub chord of the curve. First Offset is denoted by O₁ symbol.

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

FAQs on First Offset given First Chord Length

What is the formula to find First Offset given First Chord Length?

The formula of First Offset given First Chord Length is expressed as First Offset = First Sub Chord^2/2*Radius of Curve for Mid Ordinate. Here is an example- 500 = 5^2/2*40.

How to calculate First Offset given First Chord Length?

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

Can the First Offset given First Chord Length be negative?

No, the First Offset given First Chord Length, measured in Length cannot be negative.

Which unit is used to measure First Offset given First Chord Length?

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

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First Offset given First Chord Length Formula

First Offset given First Chord Length Example

First Offset given First Chord Length Solution

First Offset given First Chord Length Formula Elements

Other formulas in Setting Out Curve using Offsets from Chords category

How to Evaluate First Offset given First Chord Length?

FAQs on First Offset given First Chord Length

Variable Name