Radius given Approximate Equation for Offset 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%
✖Offset at x is the length of offset drawn at a distance x from midpoint for setting out the curve.ⓘ Offset at x [O_x]			+10% -10%

✖Radius of Curve is the radius of a circle whose part, say, the arc is taken for consideration.ⓘ Radius given Approximate Equation for Offset [R]

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Formula

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Radius given Approximate Equation for Offset

Formula

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

Example

`"2.368421m"=("3m")^2/("1.9m"*2)`

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Radius given Approximate Equation for Offset Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Distance x: 3 Meter --> 3 Meter No Conversion Required
Offset at x: 1.9 Meter --> 1.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = x^2/(O_x*2) --> 3^2/(1.9*2)

Evaluating ... ...

R = 2.36842105263158

STEP 3: Convert Result to Output's Unit

2.36842105263158 Meter --> No Conversion Required

FINAL ANSWER

2.36842105263158 ≈ 2.368421 Meter <-- Radius of Curve

(Calculation completed in 00.005 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)

Radius given Approximate Equation for Offset Formula

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

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.

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.

How to Calculate Radius given Approximate Equation for Offset?

Radius given Approximate Equation for Offset calculator uses Radius of Curve = Distance x^2/(Offset at x*2) to calculate the Radius of Curve, The Radius given Approximate Equation for Offset formula is defined as the radius of a curve when offset to set out curve is already established. Radius of Curve is denoted by R symbol.

How to calculate Radius given Approximate Equation for Offset using this online calculator? To use this online calculator for Radius given Approximate Equation for Offset, enter Distance x (x) & Offset at x (O_x) and hit the calculate button. Here is how the Radius given Approximate Equation for Offset calculation can be explained with given input values -> 2.368421 = 3^2/(1.9*2).

FAQ

What is Radius given Approximate Equation for Offset?

The Radius given Approximate Equation for Offset formula is defined as the radius of a curve when offset to set out curve is already established and is represented as R = x^2/(O_x*2) or Radius of Curve = Distance x^2/(Offset at x*2). 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 & Offset at x is the length of offset drawn at a distance x from midpoint for setting out the curve.

How to calculate Radius given Approximate Equation for Offset?

The Radius given Approximate Equation for Offset formula is defined as the radius of a curve when offset to set out curve is already established is calculated using Radius of Curve = Distance x^2/(Offset at x*2). To calculate Radius given Approximate Equation for Offset, you need Distance x (x) & Offset at x (O_x). With our tool, you need to enter the respective value for Distance x & Offset at x 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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