First Offset given First Chord Length Calculator

✖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%
✖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 Offset is the length of the first offset from the initial tangent point in order to set out the curve.ⓘ First Offset given First Chord Length [O₁]

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First Offset given First Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

First Offset = First Sub Chord^2/2*Radius of Curve for Mid Ordinate
O₁ = C₁^2/2*R_{Mid Ordinate}
This formula uses 3 Variables

Variables Used

First Offset - (Measured in Meter) - First Offset is the length of the first offset from the initial tangent point in order to set out the curve.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

O₁ = C₁^2/2*R_{Mid Ordinate} --> 5^2/2*40

Evaluating ... ...

O₁ = 500

STEP 3: Convert Result to Output's Unit

500 Meter --> No Conversion Required

FINAL ANSWER

500 Meter <-- First Offset

(Calculation completed in 00.007 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!

< Setting Out Curve using Offsets from Chords Calculators

Second Offset using Chord Lengths

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

Deflection Angle of First Chord

LaTeX 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

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

First Offset given First Chord Length

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

First Offset given First Chord Length Formula

LaTeX Go

First Offset = First Sub Chord^2/2*Radius of Curve for Mid Ordinate
O₁ = C₁^2/2*R_{Mid Ordinate}

What is an Offset in Surveying?

An offset is a distance measured at a right angle from a line, usually a chord, to a point on a curve.

What is the Importance of Accurately measuring Offsets in Setting Out Curves?

Accurately measuring offsets is important because it determines the position of the curve in the field, and any errors can lead to deviations from the design plan.

How to Calculate First Offset given First Chord Length?

First Offset given First Chord Length calculator uses First Offset = First Sub Chord^2/2*Radius of Curve for Mid Ordinate to calculate 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 calculate First Offset given First Chord Length using this online calculator? To use this online calculator 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. Here is how the First Offset given First Chord Length calculation can be explained with given input values -> 500 = 5^2/2*40.

FAQ

What is First Offset given First Chord Length?

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 and is represented as O₁ = C₁^2/2*R_{Mid Ordinate} or First Offset = First Sub Chord^2/2*Radius of Curve for Mid Ordinate. First Sub Chord is the first chord drawn in the curve 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.

How to calculate First Offset given First Chord Length?

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