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Offset at Distance x from Mid-Point Formula

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Offset at x is the length of offset drawn at a distance x from midpoint for setting out the curve. Check FAQs

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

O_x - Offset at x?R_{Mid Ordinate} - Radius of Curve for Mid Ordinate?x - Distance x?L_mo - Mid Ordinate?

Offset at Distance x from Mid-Point Example

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Here is how the Offset at Distance x from Mid-Point equation looks like with Values.

Here is how the Offset at Distance x from Mid-Point equation looks like with Units.

Here is how the Offset at Distance x from Mid-Point equation looks like.

1.8873 = \sqrt{40^{2} - 3^{2}} - (40 - 2)

1.8873m = \sqrt{{40m}^{2} - {3m}^{2}} - (40m - 2m)

1.8873 = \sqrt{40^{2} - 3^{2}} - (40 - 2)

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Offset at Distance x from Mid-Point Solution

Follow our step by step solution on how to calculate Offset at Distance x from Mid-Point?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

O x = \sqrt{{40m}^{2} - {3m}^{2}} - (40m - 2m)

Next Step Prepare to Evaluate

∴

O x = \sqrt{40^{2} - 3^{2}} - (40 - 2)

Next Step Evaluate

∴

O x = 1.88734135035826m

LAST Step Rounding Answer

∴

O x = 1.8873m

Offset at Distance x from Mid-Point Formula Elements

Variables

Functions

Offset at x

Offset at x is the length of offset drawn at a distance x from midpoint for setting out the curve.

Symbol: O_x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Offset at x

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

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.

Formulas to find Distance x

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

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 in Offsets from Long Chord category

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

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

Go Mid Ordinate given Ox

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

How to Evaluate Offset at Distance x from Mid-Point?

Offset at Distance x from Mid-Point evaluator uses Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate) to evaluate the Offset at x, The Offset at Distance x from Mid-Point formula is defined as the length of offset needed to set out the curve, the offset will be made at a distance x from the midpoint. Offset at x is denoted by O_x symbol.

How to evaluate Offset at Distance x from Mid-Point using this online evaluator? To use this online evaluator for Offset at Distance x from Mid-Point, enter Radius of Curve for Mid Ordinate (R_{Mid Ordinate}), Distance x (x) & Mid Ordinate (L_mo) and hit the calculate button.

FAQs on Offset at Distance x from Mid-Point

What is the formula to find Offset at Distance x from Mid-Point?

The formula of Offset at Distance x from Mid-Point is expressed as Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate). Here is an example- 1.887341 = sqrt(40^2-3^2)-(40-2).

How to calculate Offset at Distance x from Mid-Point?

With Radius of Curve for Mid Ordinate (R_{Mid Ordinate}), Distance x (x) & Mid Ordinate (L_mo) we can find Offset at Distance x from Mid-Point using the formula - Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate). This formula also uses Square Root (sqrt) function(s).

Can the Offset at Distance x from Mid-Point be negative?

No, the Offset at Distance x from Mid-Point, measured in Length cannot be negative.

Which unit is used to measure Offset at Distance x from Mid-Point?

Offset at Distance x from Mid-Point is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Offset at Distance x from Mid-Point can be measured.

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Offset at Distance x from Mid-Point Formula

Offset at Distance x from Mid-Point Example

Offset at Distance x from Mid-Point Solution

Offset at Distance x from Mid-Point Formula Elements

Other formulas in Offsets from Long Chord category

How to Evaluate Offset at Distance x from Mid-Point?

FAQs on Offset at Distance x from Mid-Point

Variable Name