Permissible Closing Error for Ordinary Levelling Solution

STEP 0: Pre-Calculation Summary
Formula Used
Closing Error = 24*sqrt(Distance between Two Points)
e = 24*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 = 24*sqrt(D) --> 24*sqrt(35.5)
Evaluating ... ...
e = 142.996503453756
STEP 3: Convert Result to Output's Unit
142.996503453756 Meter --> No Conversion Required
FINAL ANSWER
142.996503453756 142.9965 Meter <-- Closing Error
(Calculation completed in 00.004 seconds)

Credits

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 Ordinary Levelling Formula

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

How is the Permissible Closing Error determined in Ordinary Levelling?

The Permissible Closing Error for Ordinary Levelling is determined based on various factors such as the length of the levelling run, the accuracy requirements of the survey, the terrain, and the instrument and staff used. Generally, the error is calculated as a fraction of the distance between the instrument and the staff, and the acceptable level of error is determined based on the required accuracy of the final survey results.

How to Calculate Permissible Closing Error for Ordinary Levelling?

Permissible Closing Error for Ordinary Levelling calculator uses Closing Error = 24*sqrt(Distance between Two Points) to calculate the Closing Error, The Permissible Closing Error for Ordinary 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 Ordinary Levelling using this online calculator? To use this online calculator for Permissible Closing Error for Ordinary Levelling, enter Distance between Two Points (D) and hit the calculate button. Here is how the Permissible Closing Error for Ordinary Levelling calculation can be explained with given input values -> 142.9965 = 24*sqrt(35.5).

FAQ

What is Permissible Closing Error for Ordinary Levelling?
The Permissible Closing Error for Ordinary 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 = 24*sqrt(D) or Closing Error = 24*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 Ordinary Levelling?
The Permissible Closing Error for Ordinary 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 = 24*sqrt(Distance between Two Points). To calculate Permissible Closing Error for Ordinary 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 = 12*sqrt(Distance between Two Points)
  • Closing Error = 4*sqrt(Distance between Two Points)
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