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*RMid 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*RMid 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 00.004 seconds)

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
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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

Deflection Angle of First Chord Formula

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