Permissible Closing Error for Precise 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]

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-10%

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

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Permissible Closing Error for Precise Levelling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Closing Error = 4*sqrt(Distance between Two Points)
e = 4*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 = 4*sqrt(D) --> 4*sqrt(35.5)

Evaluating ... ...

e = 23.832750575626

STEP 3: Convert Result to Output's Unit

23.832750575626 Meter --> No Conversion Required

FINAL ANSWER

23.832750575626 ≈ 23.83275 Meter <-- Closing Error

(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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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Levelling Calculators

Distance between Two points under Curvature and Refraction

LaTeX 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

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

Error Due to Curvature Effect

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

Combined Error Due to Curvature and Refraction

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

Permissible Closing Error for Precise Levelling Formula

LaTeX Go

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

Why is Permissible Closing Error important in Precise Levelling?

The Permissible Closing Error is important in precise levelling because it determines the accuracy of the final result. If the PCE is too large, it means that the difference in height between the starting and ending points of the levelling line is too large, which can lead to errors in the levelling measurements. Therefore, it is important to calculate the PCE correctly and ensure that it is within the acceptable range for the required accuracy.

How to Calculate Permissible Closing Error for Precise Levelling?

Permissible Closing Error for Precise Levelling calculator uses Closing Error = 4*sqrt(Distance between Two Points) to calculate the Closing Error, The Permissible Closing Error for Precise 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 Precise Levelling using this online calculator? To use this online calculator for Permissible Closing Error for Precise Levelling, enter Distance between Two Points (D) and hit the calculate button. Here is how the Permissible Closing Error for Precise Levelling calculation can be explained with given input values -> 23.83275 = 4*sqrt(35.5).

FAQ

What is Permissible Closing Error for Precise Levelling?

The Permissible Closing Error for Precise 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 = 4*sqrt(D) or Closing Error = 4*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 Precise Levelling?

The Permissible Closing Error for Precise 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 = 4*sqrt(Distance between Two Points). To calculate Permissible Closing Error for Precise 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 = 12*sqrt(Distance between Two Points)

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