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Mid Ordinate is the distance from midpoint of curve to midpoint of chord. Check FAQs
Lmo=-RMid Ordinate2-x2+Ox+RMid Ordinate
Lmo - Mid Ordinate?RMid Ordinate - Radius of Curve for Mid Ordinate?x - Distance x?Ox - Offset at x?

Mid Ordinate given Ox Example

With values
With units
Only example

Here is how the Mid Ordinate given Ox equation looks like with Values.

Here is how the Mid Ordinate given Ox equation looks like with Units.

Here is how the Mid Ordinate given Ox equation looks like.

2.0127Edit=-40Edit2-3Edit2+1.9Edit+40Edit
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Mid Ordinate given Ox Solution

Follow our step by step solution on how to calculate Mid Ordinate given Ox?

FIRST Step Consider the formula
Lmo=-RMid Ordinate2-x2+Ox+RMid Ordinate
Next Step Substitute values of Variables
Lmo=-40m2-3m2+1.9m+40m
Next Step Prepare to Evaluate
Lmo=-402-32+1.9+40
Next Step Evaluate
Lmo=2.01265864964174m
LAST Step Rounding Answer
Lmo=2.0127m

Mid Ordinate given Ox Formula Elements

Variables
Functions
Mid Ordinate
Mid Ordinate is the distance from midpoint of curve to midpoint of chord.
Symbol: Lmo
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: RMid Ordinate
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Distance x
Distance x is the length from midpoint to a point anywhere in long chord where offset need to be drawn for setting out the curve.
Symbol: x
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Offset at x
Offset at x is the length of offset drawn at a distance x from midpoint for setting out the curve.
Symbol: Ox
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 when Offsets from Long Chord is Used for Setting Out
Lmo=RMid Ordinate-RMid Ordinate2-(C2)2

Other formulas in Offsets from Long Chord category

​Go Offset at Distance x from Mid-Point
Ox=RMid Ordinate2-x2-(RMid Ordinate-Lmo)

How to Evaluate Mid Ordinate given Ox?

Mid Ordinate given Ox evaluator uses Mid Ordinate = -sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)+Offset at x+Radius of Curve for Mid Ordinate to evaluate the Mid Ordinate, The Mid Ordinate given Ox formula is defined as the distance from the midpoint of a chord to the apex of the curve when setting out offset is established. Mid Ordinate is denoted by Lmo symbol.

How to evaluate Mid Ordinate given Ox using this online evaluator? To use this online evaluator for Mid Ordinate given Ox, enter Radius of Curve for Mid Ordinate (RMid Ordinate), Distance x (x) & Offset at x (Ox) and hit the calculate button.

FAQs on Mid Ordinate given Ox

What is the formula to find Mid Ordinate given Ox?
The formula of Mid Ordinate given Ox is expressed as Mid Ordinate = -sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)+Offset at x+Radius of Curve for Mid Ordinate. Here is an example- 2.012659 = -sqrt(40^2-3^2)+1.9+40.
How to calculate Mid Ordinate given Ox?
With Radius of Curve for Mid Ordinate (RMid Ordinate), Distance x (x) & Offset at x (Ox) we can find Mid Ordinate given Ox using the formula - Mid Ordinate = -sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)+Offset at x+Radius of Curve for Mid Ordinate. 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=Radius of Curve for Mid Ordinate-sqrt(Radius of Curve for Mid Ordinate^2-(Length of Long Chord/2)^2)OpenImg
Can the Mid Ordinate given Ox be negative?
No, the Mid Ordinate given Ox, measured in Length cannot be negative.
Which unit is used to measure Mid Ordinate given Ox?
Mid Ordinate given Ox is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Mid Ordinate given Ox can be measured.
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