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We have started to compute the traverse station

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1 We have started to compute the traverse station
coordinates from an anticlockwise polygon traverse. Horizontal Control TRAVERSE We tested the sum of the observed angles against the sum of the internal angles of the polygon, and if within an acceptable value we distributed the misclosure. We established the bearings of all the traverse lines and then calculated the changes in Easting and Northing for each line. The algebraic sum of these changes should be ZERO. The values give the error eE and the error eN. The linear misclosure e =  (eE2 + eN2) was calculated and used to find the FLM. If acceptable then distribute the errors. a) Bowditch Method - proportional to line distances b) Transit Method - proportional to D N values E and c) Numerous other methods including Least Squares Adjustments By : -

2 a) Bowditch Method - proportional to line distances
The eE and the eN have to be distributed For any line IJ the adjustments are dE IJ and dN IJ dE IJ = [ eE / SD ] x D IJ Applied with the opposite sign to eE dN IJ = [ eN / SD ] x D IJ Applied with the opposite sign to eN

3 Fractional Linear Misclosure (FLM) = 1 in SD / e
CO-ORDINATE DIFFERENCES CALCULATED WHOLE CIRCLE BEARING q HORIZONTAL DISTANCE D E N 638.57 0.000 -0.094 -0.654 eE eN e =  (eE2 + eN2) =  ( ) = 0.661m 3 Fractional Linear Misclosure (FLM) = 1 in SD / e = 1 in / = 1 in 13500 Check 2

4 dE IJ = [ eE / SD ] x D IJ Applied with the opposite sign to eE eE = m SD = m dE IJ = [ / ] x D IJ = …... x D IJ Store this in the memory For line AB dE AB = …x D AB = …x dE AB = m For line BC dE BC = …x D BC = …x dE BC = m For line CD dE CD = m For line DA dE DA = m

5 CO-ORDINATE DIFFERENCES
CALCULATED ADJUSTMENTS ADJUSTED CO-ORDINATES D E N d S T A I O 0.000 -0.094 -0.654 eE eN +0.007 +0.016 +0.039 +0.032

6 dN IJ = [ eN / SD ] x D IJ Applied with the opposite sign to eN eN = m dN IJ = [ / ] x D IJ = …... x D IJ Store this in the memory dN AB = … x D AB = …x dN AB = m dN BC = m dN CD = m dN DA = m

7 CO-ORDINATE DIFFERENCES
CO-ORDINATES A CALCULATED ADJUSTMENTS ADJUSTED T I O N D E D N d E d N D E D N E N A 0.000 +0.007 +0.046 +0.007 B C D A +0.016 +0.112 +0.039 +0.273 680.61 Check 3 +0.032 +0.223 -0.094 -0.654 S= 0 S= 0 eE eN


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