N-th Offset using Chords Produced Calculator

✖Last Sub Chord is the length of the last or nth sub-chord created for setting out the curve.ⓘ Last Sub Chord [C_n]			+10% -10%
✖Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve for Mid Ordinate [R_{Mid Ordinate}]			+10% -10%
✖Sub Chord n-1 is the length of second last sub chord that means, n-1 th chord.ⓘ Sub Chord n-1 [C_n-1]			+10% -10%

✖Offset n is the length of nth offset to be made for setting out the curve from tangent length.ⓘ N-th Offset using Chords Produced [O_n]

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Formula

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N-th Offset using Chords Produced

Formula

`"O"_{"n"} = ("C"_{"n"}/2*"R"_{"Mid Ordinate"})*("C"_{"n-1"}+"C"_{"n"})`

Example

`"1920m"=("8m"/2*"40m")*("4m"+"8m")`

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N-th Offset using Chords Produced Solution

STEP 0: Pre-Calculation Summary

Formula Used

Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord)
O_n = (C_n/2*R_{Mid Ordinate})*(C_n-1+C_n)
This formula uses 4 Variables

Variables Used

Offset n - (Measured in Meter) - Offset n is the length of nth offset to be made for setting out the curve from tangent length.
Last Sub Chord - (Measured in Meter) - Last Sub Chord is the length of the last or nth sub-chord created for setting out the curve.
Radius of Curve for Mid Ordinate - (Measured in Meter) - Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration.
Sub Chord n-1 - (Measured in Meter) - Sub Chord n-1 is the length of second last sub chord that means, n-1 th chord.

STEP 1: Convert Input(s) to Base Unit

Last Sub Chord: 8 Meter --> 8 Meter No Conversion Required
Radius of Curve for Mid Ordinate: 40 Meter --> 40 Meter No Conversion Required
Sub Chord n-1: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

O_n = (C_n/2*R_{Mid Ordinate})*(C_n-1+C_n) --> (8/2*40)*(4+8)

Evaluating ... ...

O_n = 1920

STEP 3: Convert Result to Output's Unit

1920 Meter --> No Conversion Required

FINAL ANSWER

1920 Meter <-- Offset n

(Calculation completed in 00.004 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 5 Setting Out Curve using Offsets from Chords Calculators

Second Offset using Chord Lengths

Go Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord)

N-th Offset using Chords Produced

Go Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord)

Deflection Angle of First Chord

Go Deflection Angle 1 = (First Sub Chord/(2*Radius of Curve for Mid Ordinate))

Length of First Chord for given Deflection Angle of First Chord

Go First Sub Chord = Deflection Angle 1*2*Radius of Curve for Mid Ordinate

First Offset given First Chord Length

Go First Offset = First Sub Chord^2/2*Radius of Curve for Mid Ordinate

N-th Offset using Chords Produced Formula

Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord)
O_n = (C_n/2*R_{Mid Ordinate})*(C_n-1+C_n)

What is the Procedure for Setting Out Curves using Offsets from Chords?

The procedure for setting out curves using offsets from chords involves measuring and marking the chord, calculating the offsets using the formula, and then marking the offset points along the curve.

What is the Importance of Using the Correct Radius when Calculating Offsets for Setting Out Curves?

Using the correct radius is important because it determines the shape and size of the curve, and any errors can lead to deviations from the design plan.

How to Calculate N-th Offset using Chords Produced?

N-th Offset using Chords Produced calculator uses Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord) to calculate 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 calculate N-th Offset using Chords Produced using this online calculator? To use this online calculator 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. Here is how the N-th Offset using Chords Produced calculation can be explained with given input values -> 1920 = (8/2*40)*(4+8).

FAQ

What is N-th Offset using Chords Produced?

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 and is represented as O_n = (C_n/2*R_{Mid Ordinate})*(C_n-1+C_n) or Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord). Last Sub Chord is the length of the last or nth sub-chord created for setting out the curve, Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration & Sub Chord n-1 is the length of second last sub chord that means, n-1 th chord.

How to calculate N-th Offset using Chords Produced?

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 is calculated using Offset n = (Last Sub Chord/2*Radius of Curve for Mid Ordinate)*(Sub Chord n-1+Last Sub Chord). To calculate N-th Offset using Chords Produced, you need Last Sub Chord (C_n), Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & Sub Chord n-1 (C_n-1). With our tool, you need to enter the respective value for Last Sub Chord, Radius of Curve for Mid Ordinate & Sub Chord n-1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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