Mid Ordinate when Offsets from Long Chord is Used for Setting Out Calculator

✖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%
✖Length of Long Chord can be described as the distance from point of curvature to point of tangency.ⓘ Length of Long Chord [C]			+10% -10%

✖Mid Ordinate is the distance from midpoint of curve to midpoint of chord.ⓘ Mid Ordinate when Offsets from Long Chord is Used for Setting Out [L_mo]

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Mid Ordinate when Offsets from Long Chord is Used for Setting Out Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2)
L_mo = R_{Mid Ordinate}-sqrt(R_{Mid Ordinate}^2-(C/2)^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Mid Ordinate - (Measured in Meter) - Mid Ordinate is the distance from midpoint of curve to midpoint of chord.
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.
Length of Long Chord - (Measured in Meter) - Length of Long Chord can be described as the distance from point of curvature to point of tangency.

STEP 1: Convert Input(s) to Base Unit

Radius of Curve for Mid Ordinate: 40 Meter --> 40 Meter No Conversion Required
Length of Long Chord: 65.5 Meter --> 65.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_mo = R_{Mid Ordinate}-sqrt(R_{Mid Ordinate}^2-(C/2)^2) --> 40-sqrt(40^2-(65.5/2)^2)

Evaluating ... ...

L_mo = 17.0339925106692

STEP 3: Convert Result to Output's Unit

17.0339925106692 Meter --> No Conversion Required

FINAL ANSWER

17.0339925106692 ≈ 17.03399 Meter <-- Mid Ordinate

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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National Institute of Technology (NIT), Warangal

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< Offsets from Long Chord Calculators

Offset at Distance x from Mid-Point

LaTeX Go Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate)

Mid Ordinate given Ox

LaTeX Go Mid Ordinate = -sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)+Offset at x+Radius of Curve for Mid Ordinate

Mid Ordinate when Offsets from Long Chord is Used for Setting Out

LaTeX Go Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2)

Mid Ordinate when Offsets from Long Chord is Used for Setting Out Formula

LaTeX Go

Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2)
L_mo = R_{Mid Ordinate}-sqrt(R_{Mid Ordinate}^2-(C/2)^2)

What is Setting Out using Offsets from Long Chord?

Setting out a curve means locating various points at equal and convenient distances along the length of a curve. The methods of setting out a simple circular curve are broadly classified as linear and angular methods. In the former method, only a chain or a tape is used and no angle measuring instrument is used. In the latter method, an angle-measuring instrument, such as a theodolite is used. The offset from a long chord is one of the linear techniques used. Once the mid ordinate is known, the offset at any distance x from the midpoint can be calculated and thus a curve can be set out.

How to Calculate Mid Ordinate when Offsets from Long Chord is Used for Setting Out?

Mid Ordinate when Offsets from Long Chord is Used for Setting Out calculator uses Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2) to calculate the Mid Ordinate, The Mid Ordinate when Offsets from Long Chord is Used for Setting Out formula is defined as to found out to find the offset at any point in the long chord from the midpoint of the curve. Mid Ordinate is denoted by L_mo symbol.

How to calculate Mid Ordinate when Offsets from Long Chord is Used for Setting Out using this online calculator? To use this online calculator for Mid Ordinate when Offsets from Long Chord is Used for Setting Out, enter Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & Length of Long Chord (C) and hit the calculate button. Here is how the Mid Ordinate when Offsets from Long Chord is Used for Setting Out calculation can be explained with given input values -> 17.03399 = 40-sqrt(40^2-(65.5/2)^2).

FAQ

What is Mid Ordinate when Offsets from Long Chord is Used for Setting Out?

The Mid Ordinate when Offsets from Long Chord is Used for Setting Out formula is defined as to found out to find the offset at any point in the long chord from the midpoint of the curve and is represented as L_mo = R_{Mid Ordinate}-sqrt(R_{Mid Ordinate}^2-(C/2)^2) or Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2). Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration & Length of Long Chord can be described as the distance from point of curvature to point of tangency.

How to calculate Mid Ordinate when Offsets from Long Chord is Used for Setting Out?

The Mid Ordinate when Offsets from Long Chord is Used for Setting Out formula is defined as to found out to find the offset at any point in the long chord from the midpoint of the curve is calculated using Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2). To calculate Mid Ordinate when Offsets from Long Chord is Used for Setting Out, you need Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & Length of Long Chord (C). With our tool, you need to enter the respective value for Radius of Curve for Mid Ordinate & Length of Long Chord and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mid Ordinate?

In this formula, Mid Ordinate uses Radius of Curve for Mid Ordinate & Length of Long Chord. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mid Ordinate = -sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)+Offset at x+Radius of Curve for Mid Ordinate

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