Sum of Departures given Closing Error Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2)
ƩD = sqrt(e^2-ƩL^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
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.
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).
STEP 1: Convert Input(s) to Base Unit
Closing Error: 50 Meter --> 50 Meter No Conversion Required
Sum of Latitudes: 40 Meter --> 40 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ƩD = sqrt(e^2-ƩL^2) --> sqrt(50^2-40^2)
Evaluating ... ...
ƩD = 30
STEP 3: Convert Result to Output's Unit
30 Meter --> No Conversion Required
FINAL ANSWER
30 Meter <-- Sum of Departures
(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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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

Sum of Departures given Closing Error Formula

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

What is Closed Traversing?

A traverse is said to be a closed one if it returns to the starting point, thereby forming a closed polygon. In addition, a traverse which begins and ends at the points whose positions on the plan are known is also referred to as a closed traverse.

How to Calculate Sum of Departures given Closing Error?

Sum of Departures given Closing Error calculator uses Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2) to calculate the Sum of Departures, The Sum of Departures given Closing Error is defined as the projection of line from the line considered to the east west direction. Sum of Departures is denoted by ƩD symbol.

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

FAQ

What is Sum of Departures given Closing Error?
The Sum of Departures given Closing Error is defined as the projection of line from the line considered to the east west direction and is represented as ƩD = sqrt(e^2-ƩL^2) or Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2). Closing Error is the error formed during traverse surveying & Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).
How to calculate Sum of Departures given Closing Error?
The Sum of Departures given Closing Error is defined as the projection of line from the line considered to the east west direction is calculated using Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2). To calculate Sum of Departures given Closing Error, you need Closing Error (e) & Sum of Latitudes (ƩL). With our tool, you need to enter the respective value for Closing Error & Sum of Latitudes 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 Sum of Departures?
In this formula, Sum of Departures uses Closing Error & Sum of Latitudes. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Sum of Departures = Direction of Closing Error*Sum of Latitudes
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