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

GoMid Ordinate given Ox Formula

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Mid Ordinate is the distance from midpoint of curve to midpoint of chord. Check FAQs

L mo = R Mid Ordinate - \sqrt{{R Mid Ordinate}^{2} - {(\frac{C}{2})}^{2}}

L_mo - Mid Ordinate?R_{Mid Ordinate} - Radius of Curve for Mid Ordinate?C - Length of Long Chord?

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

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Here is how the Mid Ordinate when Offsets from Long Chord is Used for Setting Out equation looks like with Values.

Here is how the Mid Ordinate when Offsets from Long Chord is Used for Setting Out equation looks like with Units.

Here is how the Mid Ordinate when Offsets from Long Chord is Used for Setting Out equation looks like.

17.034 = 40 - \sqrt{40^{2} - {(\frac{65.5}{2})}^{2}}

17.034m = 40m - \sqrt{{40m}^{2} - {(\frac{65.5m}{2})}^{2}}

17.034 = 40 - \sqrt{40^{2} - {(\frac{65.5}{2})}^{2}}

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

Follow our step by step solution on how to calculate Mid Ordinate when Offsets from Long Chord is Used for Setting Out?

FIRST Step Consider the formula

L mo = R Mid Ordinate - \sqrt{{R Mid Ordinate}^{2} - {(\frac{C}{2})}^{2}}

Next Step Substitute values of Variables

∴

L mo = 40m - \sqrt{{40m}^{2} - {(\frac{65.5m}{2})}^{2}}

Next Step Prepare to Evaluate

∴

L mo = 40 - \sqrt{40^{2} - {(\frac{65.5}{2})}^{2}}

Next Step Evaluate

∴

L mo = 17.0339925106692m

LAST Step Rounding Answer

∴

L mo = 17.034m

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

Variables

Functions

Mid Ordinate

Mid Ordinate is the distance from midpoint of curve to midpoint of chord.

Symbol: L_mo

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mid Ordinate

Radius of Curve for Mid Ordinate

Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_{Mid Ordinate}

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Curve for Mid Ordinate

Length of Long Chord

Length of Long Chord can be described as the distance from point of curvature to point of tangency.

Symbol: C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Long Chord

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.

Syntax: sqrt(Number)

Other Formulas to find Mid Ordinate

Go Mid Ordinate given Ox

L mo = - \sqrt{{R Mid Ordinate}^{2} - x^{2}} + O x + R Mid Ordinate

Other formulas in Offsets from Long Chord category

Go Offset at Distance x from Mid-Point

O x = \sqrt{{R Mid Ordinate}^{2} - x^{2}} - (R Mid Ordinate - L mo)

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

Mid Ordinate when Offsets from Long Chord is Used for Setting Out evaluator uses Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2) to evaluate 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 evaluate Mid Ordinate when Offsets from Long Chord is Used for Setting Out using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Mid Ordinate when Offsets from Long Chord is Used for Setting Out?

The formula of Mid Ordinate when Offsets from Long Chord is Used for Setting Out is expressed as Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2). Here is an example- 17.03399 = 40-sqrt(40^2-(65.5/2)^2).

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

With Radius of Curve for Mid Ordinate (R_{Mid Ordinate}) & Length of Long Chord (C) we can find Mid Ordinate when Offsets from Long Chord is Used for Setting Out using the formula - Mid Ordinate = Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mid Ordinate?

Here are the different ways to Calculate Mid Ordinate-

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

Can the Mid Ordinate when Offsets from Long Chord is Used for Setting Out be negative?

No, the Mid Ordinate when Offsets from Long Chord is Used for Setting Out, measured in Length cannot be negative.

Which unit is used to measure Mid Ordinate when Offsets from Long Chord is Used for Setting Out?

Mid Ordinate when Offsets from Long Chord is Used for Setting Out is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Mid Ordinate when Offsets from Long Chord is Used for Setting Out can be measured.

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

​GoMid Ordinate given Ox Formula

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

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

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

Other Formulas to find Mid Ordinate

Other formulas in Offsets from Long Chord category

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

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

Variable Name

GoMid Ordinate given Ox Formula