Deflection Angle of First Chord 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%

✖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 of First Chord [δ1]

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Deflection Angle of First Chord Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

δ1 = (C₁/(2*R_{Mid Ordinate})) --> (5/(2*40))

Evaluating ... ...

δ1 = 0.0625

STEP 3: Convert Result to Output's Unit

0.0625 --> No Conversion Required

FINAL ANSWER

0.0625 <-- Deflection Angle 1

(Calculation completed in 00.020 seconds)

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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

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< 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

Deflection Angle of First Chord Formula

LaTeX Go

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

What is the Purpose of Setting Out Curves using Offsets from Chords?

The purpose of setting out curves using offsets from chords is to accurately lay out a curve in the field based on a design plan, and to ensure that the curve is positioned correctly with respect to existing features.

How to Calculate Deflection Angle of First Chord?

Deflection Angle of First Chord calculator uses Deflection Angle 1 = (First Sub Chord/(2*Radius of Curve for Mid Ordinate)) to calculate the Deflection Angle 1, The Deflection Angle of First Chord formula is defined as the angle between the first sub-chord and the line deflected from a first chord with equal length from the point of the tangent. Deflection Angle 1 is denoted by δ1 symbol.

How to calculate Deflection Angle of First Chord using this online calculator? To use this online calculator for Deflection Angle of First Chord, enter First Sub Chord (C₁) & Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) and hit the calculate button. Here is how the Deflection Angle of First Chord calculation can be explained with given input values -> 0.0625 = (5/(2*40)).

FAQ

What is Deflection Angle of First Chord?

The Deflection Angle of First Chord formula is defined as the angle between the first sub-chord and the line deflected from a first chord with equal length from the point of the tangent and is represented as δ1 = (C₁/(2*R_{Mid Ordinate})) or Deflection Angle 1 = (First Sub Chord/(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 Deflection Angle of First Chord?

The Deflection Angle of First Chord formula is defined as the angle between the first sub-chord and the line deflected from a first chord with equal length from the point of the tangent is calculated using Deflection Angle 1 = (First Sub Chord/(2*Radius of Curve for Mid Ordinate)). To calculate Deflection Angle of First Chord, 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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