Second Offset using Chord Lengths Calculator

✖Second Sub Chord is the length of the second chord made for setting out the curve using offsets from tangents.ⓘ Second Sub Chord [C₂]			+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%
✖First Sub Chord is the first chord drawn in the curve for setting out the curve using offsets from tangents.ⓘ First Sub Chord [C₁]			+10% -10%

✖Second Offset is the length of second offset created from the tangent point.ⓘ Second Offset using Chord Lengths [O₂]

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Formula

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Second Offset using Chord Lengths

Formula

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

Example

`"298.2m"=("2.1m"/2*"40m")*("5m"+"2.1m")`

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Second Offset using Chord Lengths Solution

STEP 0: Pre-Calculation Summary

Formula Used

Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord)
O₂ = (C₂/2*R_{Mid Ordinate})*(C₁+C₂)
This formula uses 4 Variables

Variables Used

Second Offset - (Measured in Meter) - Second Offset is the length of second offset created from the tangent point.
Second Sub Chord - (Measured in Meter) - Second Sub Chord is the length of the second chord made for setting out the curve using offsets from tangents.
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.
First Sub Chord - (Measured in Meter) - First Sub Chord is the first chord drawn in the curve for setting out the curve using offsets from tangents.

STEP 1: Convert Input(s) to Base Unit

Second Sub Chord: 2.1 Meter --> 2.1 Meter No Conversion Required
Radius of Curve for Mid Ordinate: 40 Meter --> 40 Meter No Conversion Required
First Sub Chord: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

O₂ = (C₂/2*R_{Mid Ordinate})*(C₁+C₂) --> (2.1/2*40)*(5+2.1)

Evaluating ... ...

O₂ = 298.2

STEP 3: Convert Result to Output's Unit

298.2 Meter --> No Conversion Required

FINAL ANSWER

298.2 Meter <-- Second Offset

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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National Institute of Technology (NIT), Warangal

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< 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

Second Offset using Chord Lengths Formula

Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord)
O₂ = (C₂/2*R_{Mid Ordinate})*(C₁+C₂)

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.

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.

How to Calculate Second Offset using Chord Lengths?

Second Offset using Chord Lengths calculator uses Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord) to calculate 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 calculate Second Offset using Chord Lengths using this online calculator? To use this online calculator 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. Here is how the Second Offset using Chord Lengths calculation can be explained with given input values -> 298.2 = (2.1/2*40)*(5+2.1).

FAQ

What is Second Offset using Chord Lengths?

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 and is represented as O₂ = (C₂/2*R_{Mid Ordinate})*(C₁+C₂) or Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord). Second Sub Chord is the length of the second chord made for setting out the curve using offsets from tangents, Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration & First Sub Chord is the first chord drawn in the curve for setting out the curve using offsets from tangents.

How to calculate Second Offset using Chord Lengths?

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 is calculated using Second Offset = (Second Sub Chord/2*Radius of Curve for Mid Ordinate)*(First Sub Chord+Second Sub Chord). To calculate Second Offset using Chord Lengths, you need Second Sub Chord (C₂), Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & First Sub Chord (C₁). With our tool, you need to enter the respective value for Second Sub Chord, Radius of Curve for Mid Ordinate & First Sub Chord 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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