Offset at Distance x from Mid-Point 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%
✖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.ⓘ Distance x [x]			+10% -10%
✖Mid Ordinate is the distance from midpoint of curve to midpoint of chord.ⓘ Mid Ordinate [L_mo]			+10% -10%

✖Offset at x is the length of offset drawn at a distance x from midpoint for setting out the curve.ⓘ Offset at Distance x from Mid-Point [O_x]

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Offset at Distance x from Mid-Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate)
O_x = sqrt(R_{Mid Ordinate}^2-x^2)-(R_{Mid Ordinate}-L_mo)
This formula uses 1 Functions, 4 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

Offset at x - (Measured in Meter) - Offset at x is the length of offset drawn at a distance x from midpoint for setting out the curve.
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.
Distance x - (Measured in Meter) - 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.
Mid Ordinate - (Measured in Meter) - Mid Ordinate is the distance from midpoint of curve to midpoint of chord.

STEP 1: Convert Input(s) to Base Unit

Radius of Curve for Mid Ordinate: 40 Meter --> 40 Meter No Conversion Required
Distance x: 3 Meter --> 3 Meter No Conversion Required
Mid Ordinate: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

O_x = sqrt(R_{Mid Ordinate}^2-x^2)-(R_{Mid Ordinate}-L_mo) --> sqrt(40^2-3^2)-(40-2)

Evaluating ... ...

O_x = 1.88734135035826

STEP 3: Convert Result to Output's Unit

1.88734135035826 Meter --> No Conversion Required

FINAL ANSWER

1.88734135035826 ≈ 1.887341 Meter <-- Offset at x

(Calculation completed in 00.021 seconds)

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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!

< 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)

Offset at Distance x from Mid-Point Formula

LaTeX Go

Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate)
O_x = sqrt(R_{Mid Ordinate}^2-x^2)-(R_{Mid Ordinate}-L_mo)

What is Mid Ordinate?

Mid Ordinate is important in surveying as it is used to calculate the degree of curvature and to determine the height of the curve for construction purposes.

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

Offset at Distance x from Mid-Point calculator uses Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate) to calculate 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 calculate Offset at Distance x from Mid-Point using this online calculator? To use this online calculator 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. Here is how the Offset at Distance x from Mid-Point calculation can be explained with given input values -> 1.887341 = sqrt(40^2-3^2)-(40-2).

FAQ

What is Offset at Distance x from Mid-Point?

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 and is represented as O_x = sqrt(R_{Mid Ordinate}^2-x^2)-(R_{Mid Ordinate}-L_mo) or Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate). Radius of Curve for Mid Ordinate is the radius of a circle whose part, say, arc is taken for consideration, 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 & Mid Ordinate is the distance from midpoint of curve to midpoint of chord.

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

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 is calculated using Offset at x = sqrt(Radius of Curve for Mid Ordinate^2-Distance x^2)-(Radius of Curve for Mid Ordinate-Mid Ordinate). To calculate Offset at Distance x from Mid-Point, you need Radius of Curve for Mid Ordinate (R_{Mid Ordinate}), Distance x (x) & Mid Ordinate (L_mo). With our tool, you need to enter the respective value for Radius of Curve for Mid Ordinate, Distance x & Mid Ordinate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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