Closing Error in Traversing Calculator

✖Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).ⓘ Sum of Latitudes [ƩL]			+10% -10%
✖Sum of Departures is the algebraic sum of departures where, departure of a line is its projection onto a line at right angles of the reference meridian.ⓘ Sum of Departures [ƩD]			+10% -10%

✖Closing Error is the error formed during traverse surveying.ⓘ Closing Error in Traversing [e]

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Formula

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Closing Error in Traversing

Formula

`"e" = sqrt("ƩL"^2+"ƩD"^2)`

Example

`"50m"=sqrt(("40m")^2+("30m")^2)`

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Closing Error in Traversing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)
e = sqrt(ƩL^2+ƩD^2)
This formula uses 1 Functions, 3 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.
Sum of Latitudes - (Measured in Meter) - Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).
Sum of Departures - (Measured in Meter) - Sum of Departures is the algebraic sum of departures where, departure of a line is its projection onto a line at right angles of the reference meridian.

STEP 1: Convert Input(s) to Base Unit

Sum of Latitudes: 40 Meter --> 40 Meter No Conversion Required
Sum of Departures: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = sqrt(ƩL^2+ƩD^2) --> sqrt(40^2+30^2)

Evaluating ... ...

e = 50

STEP 3: Convert Result to Output's Unit

50 Meter --> No Conversion Required

FINAL ANSWER

50 Meter <-- Closing Error

(Calculation completed in 00.020 seconds)

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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!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 12 Traversing Calculators

Total Error in Latitude if Correction is Known from Bowditch Rule

Go Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line

Correction to Latitude by Bowditch Rule

Go Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse

Correction of Latitude by Transit Rule

Go Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes

Correction to Second Bearing for given Closing Error

Go Correction to Second Bearing = (2*Closing Error/Number of Sides)*(pi/180)

Correction to First Bearing for given Closing Error

Go Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180)

Correction to Northing in Transit Rule

Go Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings

Sum of Departures given Closing Error

Go Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2)

Sum of Latitudes given Closing Error

Go Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2)

Closing Error in Traversing

Go Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)

Sum of Latitudes given Direction of Closing Error

Go Sum of Latitudes = Sum of Departures/Direction of Closing Error

Sum of Departure given Direction of Closing Error

Go Sum of Departures = Direction of Closing Error*Sum of Latitudes

Direction of Closing Error in Traversing

Go Direction of Closing Error = Sum of Departures/Sum of Latitudes

Closing Error in Traversing Formula

Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)
e = sqrt(ƩL^2+ƩD^2)

What are the causes of Closing Error in Traversing?

Closing Error in Traversing can be caused by several factors such as incorrect instrument setup, inaccurate observations, incorrect calculation, incorrect measurement of distances, and incorrect use of targets.

How to Calculate Closing Error in Traversing?

Closing Error in Traversing calculator uses Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2) to calculate the Closing Error, Closing Error in Traversing is defined as the distance by which the end of a traverse falls short in coinciding with the starting point of the traverse. Closing Error is denoted by e symbol.

How to calculate Closing Error in Traversing using this online calculator? To use this online calculator for Closing Error in Traversing, enter Sum of Latitudes (ƩL) & Sum of Departures (ƩD) and hit the calculate button. Here is how the Closing Error in Traversing calculation can be explained with given input values -> 50 = sqrt(40^2+30^2).

FAQ

What is Closing Error in Traversing?

Closing Error in Traversing is defined as the distance by which the end of a traverse falls short in coinciding with the starting point of the traverse and is represented as e = sqrt(ƩL^2+ƩD^2) or Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2). Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line) & Sum of Departures is the algebraic sum of departures where, departure of a line is its projection onto a line at right angles of the reference meridian.

How to calculate Closing Error in Traversing?

Closing Error in Traversing is defined as the distance by which the end of a traverse falls short in coinciding with the starting point of the traverse is calculated using Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2). To calculate Closing Error in Traversing, you need Sum of Latitudes (ƩL) & Sum of Departures (ƩD). With our tool, you need to enter the respective value for Sum of Latitudes & Sum of Departures 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 Sum of Latitudes & Sum of Departures. We can use 1 other way(s) to calculate the same, which is/are as follows -

Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings

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