Approximate Equation for Offset at Distance x from Mid-Point Calculator

✖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%
✖Radius of Curve is the radius of a circle whose part, say, the arc is taken for consideration.ⓘ Radius of Curve [R]			+10% -10%

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

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Approximate Equation for Offset at Distance x from Mid-Point

Formula

`"O"_{"x"} = "x"^2/(2*"R")`

Example

`"1.956522m"=("3m")^2/(2*"2.3m")`

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Approximate Equation for Offset at Distance x from Mid-Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Offset at x = Distance x^2/(2*Radius of Curve)
O_x = x^2/(2*R)
This formula uses 3 Variables

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.
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.
Radius of Curve - (Measured in Meter) - Radius of Curve is the radius of a circle whose part, say, the arc is taken for consideration.

STEP 1: Convert Input(s) to Base Unit

Distance x: 3 Meter --> 3 Meter No Conversion Required
Radius of Curve: 2.3 Meter --> 2.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

O_x = x^2/(2*R) --> 3^2/(2*2.3)

Evaluating ... ...

O_x = 1.95652173913044

STEP 3: Convert Result to Output's Unit

1.95652173913044 Meter --> No Conversion Required

FINAL ANSWER

1.95652173913044 ≈ 1.956522 Meter <-- Offset at x

(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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< 2 Perpendicular Offsets from Tangents Calculators

Approximate Equation for Offset at Distance x from Mid-Point

Go Offset at x = Distance x^2/(2*Radius of Curve)

Radius given Approximate Equation for Offset

Go Radius of Curve = Distance x^2/(Offset at x*2)

Approximate Equation for Offset at Distance x from Mid-Point Formula

Offset at x = Distance x^2/(2*Radius of Curve)
O_x = x^2/(2*R)

What are the Common Errors Encountered when Measuring Perpendicular Offsets in Surveying?

Common errors encountered when measuring perpendicular offsets in surveying include errors in measurement due to the terrain, errors in the angle of the perpendicular line, and errors in reading the surveyor's rod.

What are the Factors that Affect the Accuracy of Measuring Perpendicular Offsets in Surveying?

The accuracy of measuring perpendicular offsets in surveying is affected by factors such as the slope of the terrain, the distance between the points, and the accuracy of the surveying instruments.

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

Approximate Equation for Offset at Distance x from Mid-Point calculator uses Offset at x = Distance x^2/(2*Radius of Curve) to calculate the Offset at x, The Approximate Equation for Offset at Distance x from Mid-Point formula is defined as the approximate equation found by neglecting the higher order terms from the exact equation. Offset at x is denoted by O_x symbol.

How to calculate Approximate Equation for Offset at Distance x from Mid-Point using this online calculator? To use this online calculator for Approximate Equation for Offset at Distance x from Mid-Point, enter Distance x (x) & Radius of Curve (R) and hit the calculate button. Here is how the Approximate Equation for Offset at Distance x from Mid-Point calculation can be explained with given input values -> 1.956522 = 3^2/(2*2.3).

FAQ

What is Approximate Equation for Offset at Distance x from Mid-Point?

The Approximate Equation for Offset at Distance x from Mid-Point formula is defined as the approximate equation found by neglecting the higher order terms from the exact equation and is represented as O_x = x^2/(2*R) or Offset at x = Distance x^2/(2*Radius of Curve). 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 & Radius of Curve is the radius of a circle whose part, say, the arc is taken for consideration.

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

The Approximate Equation for Offset at Distance x from Mid-Point formula is defined as the approximate equation found by neglecting the higher order terms from the exact equation is calculated using Offset at x = Distance x^2/(2*Radius of Curve). To calculate Approximate Equation for Offset at Distance x from Mid-Point, you need Distance x (x) & Radius of Curve (R). With our tool, you need to enter the respective value for Distance x & Radius of Curve 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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