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N-th Offset using Chords Produced Formula

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Offset n is the length of nth offset to be made for setting out the curve from tangent length. Check FAQs

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

O_n - Offset n?C_n - Last Sub Chord?R_{Mid Ordinate} - Radius of Curve for Mid Ordinate?C_n-1 - Sub Chord n-1?

N-th Offset using Chords Produced Example

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Here is how the N-th Offset using Chords Produced equation looks like with Values.

Here is how the N-th Offset using Chords Produced equation looks like with Units.

Here is how the N-th Offset using Chords Produced equation looks like.

1920 = (\frac{8}{2} \cdot 40) \cdot (4 + 8)

1920m = (\frac{8m}{2} \cdot 40m) \cdot (4m + 8m)

1920 = (\frac{8}{2} \cdot 40) \cdot (4 + 8)

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N-th Offset using Chords Produced Solution

Follow our step by step solution on how to calculate N-th Offset using Chords Produced?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

O n = (\frac{8m}{2} \cdot 40m) \cdot (4m + 8m)

Next Step Prepare to Evaluate

∴

O n = (\frac{8}{2} \cdot 40) \cdot (4 + 8)

LAST Step Evaluate

∴

O n = 1920m

N-th Offset using Chords Produced Formula Elements

Variables

Offset n

Offset n is the length of nth offset to be made for setting out the curve from tangent length.

Symbol: O_n

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Offset n

Last Sub Chord

Last Sub Chord is the length of the last or nth sub-chord created for setting out the curve.

Symbol: C_n

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Last 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

Sub Chord n-1

Sub Chord n-1 is the length of second last sub chord that means, n-1 th chord.

Symbol: C_n-1

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sub Chord n-1

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 Second Offset using Chord Lengths

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

How to Evaluate N-th Offset using Chords Produced?

N-th Offset using Chords Produced evaluator uses Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord) to evaluate the Offset n, The N-th Offset using Chords Produced formula is defined as the last offset for creating the curve sing offsets from tangent length. Generally, except for the first and last sub-chord, all other chords have the same length. Offset n is denoted by O_n symbol.

How to evaluate N-th Offset using Chords Produced using this online evaluator? To use this online evaluator for N-th Offset using Chords Produced, enter Last Sub Chord (C_n), Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & Sub Chord n-1 (C_n-1) and hit the calculate button.

FAQs on N-th Offset using Chords Produced

What is the formula to find N-th Offset using Chords Produced?

The formula of N-th Offset using Chords Produced is expressed as Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord). Here is an example- 1920 = (8/2*40)*(4+8).

How to calculate N-th Offset using Chords Produced?

With Last Sub Chord (C_n), Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & Sub Chord n-1 (C_n-1) we can find N-th Offset using Chords Produced using the formula - Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord).

Can the N-th Offset using Chords Produced be negative?

No, the N-th Offset using Chords Produced, measured in Length cannot be negative.

Which unit is used to measure N-th Offset using Chords Produced?

N-th Offset using Chords Produced is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which N-th Offset using Chords Produced can be measured.

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N-th Offset using Chords Produced Formula

N-th Offset using Chords Produced Example

N-th Offset using Chords Produced Solution

N-th Offset using Chords Produced Formula Elements

Other formulas in Setting Out Curve using Offsets from Chords category

How to Evaluate N-th Offset using Chords Produced?

FAQs on N-th Offset using Chords Produced

Variable Name