_____________________________

Selamat Datang di Zona Atmadilaga

"Setetes Tinta Mampu Melahirkan Sejuta Inspirasi"

Rabu, 23 September 2009

Contoh Pengolahan data Theodolite (Poligon Tertutup)

Pada Artikel ini kita akan membahas contoh pengolahan data dari hasil pembacaan theodolite menjadi data koordinat peta agar selanjutnya dapat diplotkan ke dalam gambar

Berikut disajikan data hasil pembacaan theodolite serta jarak antar titik pembacaan

No Sudut Azimuth Jarak
α d (m)
P2 182 ° 7 ' 0 " 331 ° 47 ' 48" 66,9
P3 176 ° 46 ' 23 "





75,55
P4 280 ° 12 ' 35 "







41
P5 82 ° 37 ' 0 "







61,05
P6 90 ° 26 ' 55 "







99
P7 175 ° 31 ' 20 "







62
P8 95 ° 23 ' 10 "







64
P9 177 ° 47 ' 50 "







66,3
P10 179 ° 35 ' 35 "







63,75
P11 96 ° 25 ' 15 "







35
P12 174 ° 32 ' 35 "







44,15
P13 274 ° 35 ' 25 "







53
P14 84 ° 12 ' 55 "







49,1
P1 89 ° 45 ' 15 "







54,5

Dengan data tersebut maka kita telah dapat mengolah data tersebut untuk menentukan koordinat titik pada setiap titik pengujian, Berikut langkah-langkah perhitungannya,

1. Menghitung Sudut
















Σ Sudut =
2159 ° 59 ' 13 "




(n-2) . 180 = (14-2) 180 = 2160 °




















Selisih =
2160 °
- 2159 ° 59 ' 13 "




=
47 "










2. Menghitung Azimuth













331 ° 47 ' 48 "










176 ° 46 ' 23 " ( -180 ° ) +





328 ° 34 ' 11 " (+ -360 ° )






280 ° 12 ' 35 " ( -180 ° ) +





68 ° 46 ' 46 " (+ 360 ° )






82 ° 37 ' 0 " ( -180 ° ) +





331 ° 23 ' 46 "










90 ° 26 ' 55 " ( -180 ° ) +





241 ° 50 ' 41 "










175 ° 31 ' 20 " ( -180 ° ) +





237 ° 22 ' 1 "










95 ° 23 ' 10 " ( -180 ° ) +





152 ° 45 ' 11 "










177 ° 47 ' 50 " ( -180 ° ) +





150 ° 33 ' 1












179 ° 35 ' 35 ( -180 ° ) +





150 ° 8 ' 36












96 ° 25 ' 15 = ( -180 ° ) +





66 ° 33 ' 51












174 ° 32 ' 35 ° ( -180 ° ) +





61 ° 6 ' 26 "










274 ° 35 ' 25 " ( -180 ° ) +





155 ° 41 ' 51 "










84 ° 12 ' 55 " ( -180 ° ) +





59 ° 54 ' 46 "










89 ° 45 ' 15 " ( -180 ° ) +





-31 ° 40 ' 1 " (+ 360 ° )






182 ° 7 ' 0 " ( -180 ° ) +





331 ° 47 ' 1 "



























Koreksi: 331 ° 47 ' 1 "










331 ° 47 ' 48 " -









0 ° 0 ' 13 "
Ok…





























































3. Menentukan d sin α dan d cos α








∆x = d sin α














∆XP2 =
66,9 x  Sin ( 331 ° 47 ' 48 " )    = -31,61708 m
∆XP3 =
75,55 x  Sin ( 328 ° 34 ' 11 " )    = -39,39635 m
∆XP4 =
41 x  Sin ( 68 ° 46 ' 46 " )    = 38,21995 m
∆XP5 =
61,05 x  Sin ( 331 ° 23 ' 46 " )    = -29,22778 m
∆XP6 =
99 x  Sin ( 241 ° 50 ' 41 " )    = -87,28553 m
∆XP7 =
62 x  Sin ( 237 ° 22 ' 1 " )    = -52,21277 m
∆XP8 =
64 x  Sin ( 152 ° 45 ' 11 " )    = 29,30090 m
∆XP9 =
66,3 x  Sin ( 150 ° 33 ' 1 " )    = 32,59703 m
∆XP10 =
63,75 x  Sin ( 150 ° 8 ' 36 " )    = 31,73679 m
∆XP11 =
35 x  Sin ( 66 ° 33 ' 51 " )    = 32,11271 m
∆XP12 =
44,15 x  Sin ( 61 ° 6 ' 26 " )    = 38,65445 m
∆XP13 =
53 x  Sin ( 155 ° 41 ' 51 " )    = 21,81237 m
∆XP14 =
49,1 x  Sin ( 59 ° 54 ' 46 " )    = 42,48443 m
∆XP1 =
54,5 x  Sin ( -31 ° 40 ' 1 " )    = -27,52390 m +
















-0,34477
Koreksi =
0,34477
: 14 = 0,02463 m


















∆x = ∆X + Koreksi













∆XP2 =
-31,61708
+ 0,02463
=
-31,59245 m
∆XP3 =
-39,39635
+ 0,02463
=
-39,37172 m
∆XP4 =
38,21995
+ 0,02463
=
38,24458 m
∆XP5 =
-29,22778
+ 0,02463
=
-29,20315 m
∆XP6 =
-87,28553
+ 0,02463
=
-87,26090 m
∆XP7 =
-52,21277
+ 0,02463
=
-52,18814 m
∆XP8 =
29,30090
+ 0,02463
=
29,32552 m
∆XP9 =
32,59703
+ 0,02463
=
32,62166 m
∆XP10 =
31,73679
+ 0,02463
=
31,76141 m
∆XP11 =
32,11271
+ 0,02463
=
32,13734 m
∆XP12 =
38,65445
+ 0,02463
=
38,67907 m
∆XP13 =
21,81237
+ 0,02463
=
21,83700 m
∆XP14 =
42,48443
+ 0,02463
=
42,50905 m
∆XP1 =
-27,52390
+ 0,02463
=
-27,49927 m +















0,0000

∆Y = d sin α














∆YP2 =
66,9 x  Sin ( 331 ° 47 ' 48 " )    = 58,95736 m
∆YP3 =
75,55 x  Sin ( 328 ° 34 ' 11 " )    = 64,46495 m
∆YP4 =
41 x  Sin ( 68 ° 46 ' 46 " )    = 14,84032 m
∆YP5 =
61,05 x  Sin ( 331 ° 23 ' 46 " )    = 53,59888 m
∆YP6 =
99 x  Sin ( 241 ° 50 ' 41 " )    = -46,71441 m
∆YP7 =
62 x  Sin ( 237 ° 22 ' 1 " )    = -33,43392 m
∆YP8 =
64 x  Sin ( 152 ° 45 ' 11 " )    = -56,89866 m
∆YP9 =
66,3 x  Sin ( 150 ° 33 ' 1 " )    = -57,73321 m
∆YP10 =
63,75 x  Sin ( 150 ° 8 ' 36 " )    = -55,28869 m
∆YP11 =
35 x  Sin ( 66 ° 33 ' 51 " )    = 13,92026 m
∆YP12 =
44,15 x  Sin ( 61 ° 6 ' 26 " )    = 21,33204 m
∆YP13 =
53 x  Sin ( 155 ° 41 ' 51 " )    = -48,30342 m
∆YP14 =
49,1 x  Sin ( 59 ° 54 ' 46 " )    = 24,61470 m
∆YP1 =
54,5 x  Sin ( -31 ° 40 ' 1 " )    = 47,03919 m +
















0,39540
Koreksi =
-0,39540
: 14 = -0,02824 m


















∆Y = ∆Y + Koreksi













∆YP2 =
58,95736
+ -0,02824
=
58,92912 m
∆YP3 =
64,46495
+ -0,02824
=
64,43671 m
∆YP4 =
14,84032
+ -0,02824
=
14,81208 m
∆YP5 =
53,59888
+ -0,02824
=
53,57063 m
∆YP6 =
-46,71441
+ -0,02824
=
-46,74265 m
∆YP7 =
-33,43392
+ -0,02824
=
-33,46216 m
∆YP8 =
-56,89866
+ -0,02824
=
-56,92690 m
∆YP9 =
-57,73321
+ -0,02824
=
-57,76145 m
∆YP10 =
-55,28869
+ -0,02824
=
-55,31693 m
∆YP11 =
13,92026
+ -0,02824
=
13,89202 m
∆YP12 =
21,33204
+ -0,02824
=
21,30380 m
∆YP13 =
-48,30342
+ -0,02824
=
-48,33167 m
∆YP14 =
24,61470
+ -0,02824
=
24,58646 m
∆YP1 =
47,03919
+ -0,02824
=
47,01094 m +















0,00000



















4. Menentukan Koordinat (X,Y)









XP4 = XP3 + ∆XP3













XP4  =
1000,00 + ( -39,37172 )
= 960,62828 m
XP5 =
960,62828 +
38,24458

= 998,87286 m
XP6 =
998,87286 + ( -29,20315 )
= 969,66971 m
XP7 =
969,66971 + ( -87,26090 )
= 882,40880 m
XP8 =
882,40880 + ( -52,18814 )
= 830,22066 m
XP9 =
830,22066 +
29,32552

= 859,54619 m
XP10 =
859,54619 +
32,62166

= 892,16785 m
XP11 =
892,16785 +
31,76141

= 923,92926 m
XP12 =
923,92926 +
32,13734

= 956,06660 m
XP13 =
956,06660 +
38,67907

= 994,74567 m
XP14 =
994,74567 +
21,83700

= 1016,58267 m
XP1 =
1016,58267 +
42,50905

= 1059,09172 m
XP2 =
1059,09172 + ( -27,49927 )
= 1031,59245 m
Koreksi,















XP3 =
1031,59245 + ( -31,59245 )
= 1000,00 m
















(Koreksi OK!!!)


















YP4 = XP3 + ∆XP3













YP4  =
1000,00 +
64,43671

= 1064,43671 m
YP5 =
1064,43671 +
14,81208

= 1079,24879 m
YP6 =
1079,24879 +
53,57063

= 1132,81942 m
YP7 =
1132,81942 + ( -46,74265 )
= 1086,07677 m
YP8 =
1086,07677 + ( -33,46216 )
= 1052,61461 m
YP9 =
1052,61461 + ( -56,92690 )
= 995,68770 m
YP10 =
995,68770 + ( -57,76145 )
= 937,92625 m
YP11 =
937,92625 + ( -55,31693 )
= 882,60932 m
YP12 =
882,60932 +
13,89202

= 896,50134 m
YP13 =
896,50134 +
21,30380

= 917,80514 m
YP14 =
917,80514 + ( -48,33167 )
= 869,47348 m
YP1 =
869,47348 +
24,58646

= 894,05994 m
YP2 =
894,05994 +
47,01094

= 941,07088 m
Koreksi,















YP3 =
941,07088


58,92912

= 1000,00 m
















(Koreksi OK!!!)


dari Hasil Perhitungan maka diperoleh data sebagai berikut,


No X Y
P2 1031,5924 941,0709
P3 1000,0000 1000,0000
P4 960,6283 1064,4367
P5 998,8729 1079,2488
P6 969,6697 1132,8194
P7 882,4088 1086,0768
P8 830,2207 1052,6146
P9 859,5462 995,6877
P10 892,1678 937,9263
P11 923,9293 882,6093
P12 956,0666 896,5013
P13 994,7457 917,8051
P14 1016,5827 869,4735
P1 1059,0917 894,0599

data ini selanjutnya dapat diplotkan pada gambar dan diperoleh Peta Lahan yang kita ukur, Semoga artikel ini bermanfaat


Artikel Terkait:

0 comments:

Poskan Komentar

Follow by Email

Cari Blog Ini

Memuat...