Length of First Chord for given Deflection Angle of First Chord Calculator

✖Deflection Angle 1 is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.ⓘ Deflection Angle 1 [δ1]			+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.ⓘ Length of First Chord for given Deflection Angle of First Chord [C₁]

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Length of First Chord for given Deflection Angle of First Chord Solution

STEP 0: Pre-Calculation Summary

Formula Used

First Sub Chord = Deflection Angle 1*2*Radius of Curve for Mid Ordinate
C₁ = δ1*2*R_{Mid Ordinate}
This formula uses 3 Variables

Variables Used

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.
Deflection Angle 1 - Deflection Angle 1 is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.
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

Deflection Angle 1: 0.0625 --> 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

C₁ = δ1*2*R_{Mid Ordinate} --> 0.0625*2*40

Evaluating ... ...

C₁ = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- First Sub Chord

(Calculation completed in 00.020 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

Length of First Chord for given Deflection Angle of First Chord Formula

LaTeX Go

First Sub Chord = Deflection Angle 1*2*Radius of Curve for Mid Ordinate
C₁ = δ1*2*R_{Mid Ordinate}

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.

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.

How to Calculate Length of First Chord for given Deflection Angle of First Chord?

Length of First Chord for given Deflection Angle of First Chord calculator uses First Sub Chord = Deflection Angle 1*2*Radius of Curve for Mid Ordinate to calculate the First Sub Chord, The Length of First Chord for given Deflection Angle of First Chord formula is defined as the first sub-chord drawn on the curve for setting out the curve. The length depends on the deflection angle. First Sub Chord is denoted by C₁ symbol.

How to calculate Length of First Chord for given Deflection Angle of First Chord using this online calculator? To use this online calculator for Length of First Chord for given Deflection Angle of First Chord, enter Deflection Angle 1 (δ1) & Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) and hit the calculate button. Here is how the Length of First Chord for given Deflection Angle of First Chord calculation can be explained with given input values -> 5 = 0.0625*2*40.

FAQ

What is Length of First Chord for given Deflection Angle of First Chord?

The Length of First Chord for given Deflection Angle of First Chord formula is defined as the first sub-chord drawn on the curve for setting out the curve. The length depends on the deflection angle and is represented as C₁ = δ1*2*R_{Mid Ordinate} or First Sub Chord = Deflection Angle 1*2*Radius of Curve for Mid Ordinate. Deflection Angle 1 is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point & Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Length of First Chord for given Deflection Angle of First Chord?

The Length of First Chord for given Deflection Angle of First Chord formula is defined as the first sub-chord drawn on the curve for setting out the curve. The length depends on the deflection angle is calculated using First Sub Chord = Deflection Angle 1*2*Radius of Curve for Mid Ordinate. To calculate Length of First Chord for given Deflection Angle of First Chord, you need Deflection Angle 1 (δ1) & Radius of Curve for Mid Ordinate (R_{Mid Ordinate}). With our tool, you need to enter the respective value for Deflection Angle 1 & 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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