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 00.004 seconds)

Credits

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 500+ more calculators!
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Verified by Ishita Goyal
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 Accurate Levelling Formula

​LaTeX ​Go
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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