Permissible Closing Error for Accurate Levelling Calculator

✖Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres.ⓘ Distance between Two Points [D]

+10%

-10%

✖Closing Error is the error formed during traverse surveying.ⓘ Permissible Closing Error for Accurate Levelling [e]

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Formula

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Permissible Closing Error for Accurate Levelling

Formula

`"e" = 12*sqrt("D")`

Example

`"71.49825m"=12*sqrt("35.5m")`

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Permissible Closing Error for Accurate Levelling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Closing Error = 12*sqrt(Distance between Two Points)
e = 12*sqrt(D)
This formula uses 1 Functions, 2 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

Closing Error - (Measured in Meter) - Closing Error is the error formed during traverse surveying.
Distance between Two Points - (Measured in Meter) - Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres.

STEP 1: Convert Input(s) to Base Unit

Distance between Two Points: 35.5 Meter --> 35.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = 12*sqrt(D) --> 12*sqrt(35.5)

Evaluating ... ...

e = 71.4982517268779

STEP 3: Convert Result to Output's Unit

71.4982517268779 Meter --> No Conversion Required

FINAL ANSWER

71.4982517268779 ≈ 71.49825 Meter <-- Closing Error

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 17 Levelling Calculators

Difference in Elevation between Two Points using Barometric Levelling

Go Distance between Points = 18336.6*(log10(Height of point A)-log10(Height of point B))*(1+(Temperature at Lower Ground Level+Temperature at Higher level)/500)

Difference in Elevation between Ground Points in short lines under Trigonometric levelling

Go Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B

Distance between Two points under Curvature and Refraction

Go Distance between Two Points = (2*Earth Radius in km*Error due to Curvature+(Error due to Curvature^2))^(1/2)

Distance for small errors under Curvature and Refraction

Go Distance between Two Points = sqrt(2*Earth Radius in km*Error due to Curvature)

Angle of Dip for Compass Surveying

Go Dip Angle = Distance between Two Points/Earth Radius in km*(180/pi)

Error Due to Curvature Effect

Go Error due to Curvature = Distance between Two Points^2/(2*Earth Radius in km)

Distance to Visible Horizon

Go Distance between Two Points = sqrt(Height of Observer/0.0673)

Permissible Closing Error for Rough Levelling

Go Closing Error = 100*sqrt(Distance between Two Points)

Permissible Closing Error for Ordinary Levelling

Go Closing Error = 24*sqrt(Distance between Two Points)

Permissible Closing Error for Accurate Levelling

Go Closing Error = 12*sqrt(Distance between Two Points)

Permissible Closing Error for Precise Levelling

Go Closing Error = 4*sqrt(Distance between Two Points)

Reduced Level given Height of Instrument

Go Reduced Level = Height of Instrument-Back Sight

Back Sight given Height of Instrument

Go Back Sight = Height of Instrument-Reduced Level

Height of Instrument

Go Height of Instrument = Reduced Level+Back Sight

Correction on Refraction Error

Go Refraction Correction = 0.0112*Distance between Two Points^2

Height of Observer

Go Height of Observer = 0.0673*Distance between Two Points^2

Combined Error Due to Curvature and Refraction

Go Combined Error = 0.0673*Distance between Two Points^2

Permissible Closing Error for Accurate Levelling Formula

Closing Error = 12*sqrt(Distance between Two Points)
e = 12*sqrt(D)

What are the Checks used in Levelling?

In surveying it is always desirable to verify the work done in every possible way. One of the ways already discussed is to make arithmetical checks, i.e., the difference between the sum of back sights and the sum of foresights should be equal to the difference between the sum of rise and the sum of fall and also to the difference of the reduced level of the last station and that of the beginning station.

How to Calculate Permissible Closing Error for Accurate Levelling?

Permissible Closing Error for Accurate Levelling calculator uses Closing Error = 12*sqrt(Distance between Two Points) to calculate the Closing Error, The Permissible Closing Error for Accurate Levelling shows the permissible value for closing error which is different for different levelling. The error is directly proportional to the distance. Closing Error is denoted by e symbol.

How to calculate Permissible Closing Error for Accurate Levelling using this online calculator? To use this online calculator for Permissible Closing Error for Accurate Levelling, enter Distance between Two Points (D) and hit the calculate button. Here is how the Permissible Closing Error for Accurate Levelling calculation can be explained with given input values -> 71.49825 = 12*sqrt(35.5).

FAQ

What is Permissible Closing Error for Accurate Levelling?

The Permissible Closing Error for Accurate Levelling shows the permissible value for closing error which is different for different levelling. The error is directly proportional to the distance and is represented as e = 12*sqrt(D) or Closing Error = 12*sqrt(Distance between Two Points). Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres.

How to calculate Permissible Closing Error for Accurate Levelling?

The Permissible Closing Error for Accurate Levelling shows the permissible value for closing error which is different for different levelling. The error is directly proportional to the distance is calculated using Closing Error = 12*sqrt(Distance between Two Points). To calculate Permissible Closing Error for Accurate Levelling, you need Distance between Two Points (D). With our tool, you need to enter the respective value for Distance between Two Points and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Closing Error?

In this formula, Closing Error uses Distance between Two Points. We can use 3 other way(s) to calculate the same, which is/are as follows -

Closing Error = 100*sqrt(Distance between Two Points)
Closing Error = 24*sqrt(Distance between Two Points)
Closing Error = 4*sqrt(Distance between Two Points)

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