Geomatics CVEN 2012 Fall 2017 Problem : 2390 Traverse Data Point Unadjusted Trav
ID: 1713295 • Letter: G
Question
Geomatics CVEN 2012 Fall 2017 Problem : 2390 Traverse Data Point Unadjusted Traverse 57.6533 1242.346 1500.000 2 1105.2005 1030.16 900.4914 531 657.2857 777438 758.6533 1241.466 1400.000 (1' is the location of point 1 as determined at the end of the 1300.000 1200.000 Use the Bowditch Rule (as described in class, lab, s, and in the text at 01-10.7, and Table 10.4) to calculate the traverse 1100.000 e, and adjust the traverse 1000.000 eliminate the misclosure. 900.000 800.000 00.000 600.000 00.000 500.000 700.000 900.000 1100.000 1300.000 1500.000Explanation / Answer
Traverse misclosure
= Difference between the latitudes and longitudinal values between points 1 and 1’
Latitude Misclosure
= 1241.4667- 1242.3467
= -0.88
Longitudinal misclosure
= 758.6533 – 757.6533
= 1.00
Length 1-2
= sqrt ((1105.2005-757.6533)^2 + (1030.1658-1242.3467)^2 )
= 407. 197
Similarly
Length 2-3
=498.317
Length 3-4
= 245.59
Length 1-4
= 475.618
Total perimeter length
= 407.197 + 498.317 + 245.59 +475.618
= 1626. 722
Correction in Latitude 1-2
= (Total Misclosure/ Traverse Perimeter )* Length of 1-2
= +0.88/1626.722 * 407.197
= 0.2203
Similarly corrections are shown in following table,
Line
Length/m
E
N
Correction E
Correction N
Corrected E
Corrected N
1,2
407.197
757.6533
1242.3467
0.220279409
-0.25031751
757.8736
1242.096
2,3
498.317
1105.2005
1030.1658
0.269572158
-0.306331998
1105.47
1029.859
3,4
245.59
900.4914
531.8488
0.132855645
-0.150972323
900.6243
531.6978
4,1
475.618
657.2857
777.4387
0.257292789
-0.292378169
657.543
777.1463
Traverse misclosure
= Difference between the latitudes and longitudinal values between points 1 and 1’
Latitude Misclosure
= 1241.4667- 1242.3467
= -0.88
Longitudinal misclosure
= 758.6533 – 757.6533
= 1.00
Length 1-2
= sqrt ((1105.2005-757.6533)^2 + (1030.1658-1242.3467)^2 )
= 407. 197
Similarly
Length 2-3
=498.317
Length 3-4
= 245.59
Length 1-4
= 475.618
Total perimeter length
= 407.197 + 498.317 + 245.59 +475.618
= 1626. 722
Correction in Latitude 1-2
= (Total Misclosure/ Traverse Perimeter )* Length of 1-2
= +0.88/1626.722 * 407.197
= 0.2203
Similarly corrections are shown in following table,
Line
Length/m
E
N
Correction E
Correction N
Corrected E
Corrected N
1,2
407.197
757.6533
1242.3467
0.220279409
-0.25031751
757.8736
1242.096
2,3
498.317
1105.2005
1030.1658
0.269572158
-0.306331998
1105.47
1029.859
3,4
245.59
900.4914
531.8488
0.132855645
-0.150972323
900.6243
531.6978
4,1
475.618
657.2857
777.4387
0.257292789
-0.292378169
657.543
777.1463
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