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*RMid 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*RMid 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 00.004 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
M Naveen has verified this Calculator and 900+ more calculators!

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

First Offset given First Chord Length Formula

First Offset = First Sub Chord^2/2*Radius of Curve for Mid Ordinate
O1 = C1^2/2*RMid 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 (RMid 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*RMid 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 (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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!