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DATA PENGUKURAN POLIGON TERTUTUP TERIKAT KOORDINAT
299 34 2
51 16 1
0 0 0
136 37 2
0 0 0
128 39 2
0 0 0
99 55 5
0 0 0
117 22 5
0 0 0
263 17 5
0 0 0
42 26 2
BM03B = -21.69972222
P1 = -46.61722222P2 = -38.65055556
P3 = -9.918055556
P4 = -27.36805556
P5 = -173.2847222
BM03 = 47.56611111
= 899.9722222
42.43388889
111.6997222
136.6172222
128.6505556
99.91805556
117.3680556
263.2847222
"
299.5672222
51.26694444
0
136.6172222
0
128.6505556
0.300
1.588
BM03 (G) 1.281B
Baca
Tengah
Tinggi
Pesawat
Nomor / Nama
Titik
Kedudukan
Teropong
Bacaan Sudut Horizontal
3.020B B
1.400
BM03B (A) B
C B
1.461
B B 0.600
0.330
D B 1.280
0.735
1.563
C B0
99.91805556
F B 1.210
1.5510
117.3680556
1.300
Letak
Pesawat
BM03B
(A)
B
C
D
BM03 (G) B 0.780
1.485
E B
E
F
1.560
D B
E B
1.7250
263.2847222
0
42.43388889BM03B (A) B 1.660
0.930BM03
(G)1.400
F B
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n = 7 0.028
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Atas
Bawah
1.561 90 0 0
1.001
3.210 90 0 0
2.830
0.489 88 20 11
0.111
0.463 97 13 2
0.197
0.730 86 52 0
0.470
1.560 88 52 01.000
1.580 91 37 0
1.020
0.880 88 38 0
0.590
1.699 93 0 0
1.403
1.420 89 15 0
1.000
1.930 90 51 21.520
0.900 90 52 1
0.660
1.050 92 9 0
0.810
1.940 89 18 54
1.380
68.30027778
43.38277778
51.34944444
80.08194444
62.63194444
-83.28472222
137.5661111
90
90
88.33638889
97.21722222
86.86666667
88.86666667
37.7681413
56
Nomor /
Nama Titik
BM03 (G)
an Rambu
Jarak Datar
Bacaan Sudut Miring
"
38 B
C
25.92232016
26.1801653
B
55.97809206
BM03B (A)
D
41.99280382
29.51892405
91.61666667
88.63333333
93
55.95542735
E
F
C
D
28.98350336 E
23.99450566
40.99096533
89.25
BM03 (G)
BM03B (A)
F
90.85055556
90.86694444
92.15
89.31555.99199607
23.9662216
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0.143
1.666666667
0.238095238
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60.43277778 31.0841667
56.000000 dag (d1) = 55.99799895 0.9995785
dba (d2) = 37.89203364
38.000000 dcb (d3) = 26.17518939 0.999157177
ddc (d4) = 55.9833771
37.784067 ded (d5) = 29.27559237 0.866025404
dfe (d6) = 41.49594209
26.389248 dgf (d7) = 23.99017876 37.73630944
25.961131
37.7522220155.989045
55.977709
28.991751
29.559434
41.996402
40.995482
23.997253
23.983105
55.995998
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PERHITUNGAN SUDUT DALAM () DAN JARAK DATAR
1. Perhitungan Sudut Dalam ()
A = 51.26694444 - 299.5672222
= -248.3002778 ( ditambah 360)
= 111.6997222
B = 136.6172222
C = 128.6505556
D = 99.91805556
E = 117.3680556
F = 263.2847222
G = 42.43388889
2. Perhitungan Jarak Datar
Rumus Umum :
Jarak Datar = (BA - BB) x 100 x Sin2
V
a.) Jarak Titik A - G (d1)d1 --> Pesawat di Titik A (d1a) :
BA = 1.561
BT = 1.281
BB = 1.001
Sudut V = 90.00000000
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(BA - BB) = 1.561 - 1.001 = 0.56
Sin2
V = Sin2 90.00000000 = 1
d1a = (BA - BB) x 100 x Sin2
V
= 0.56 x 100 x 1= 56
d1 --> Pesawat di Titik G (d1g) :
BA = 1.940
BT = 1.660
BB = 1.380
Sudut V = 89.31500000
(BA - BB) = 1.94 - 1.38 = 0.56
Sin2
V = Sin2 89.31500000 = 0.999857073
d1g = (BA - BB) x 100 x Sin2 V
= 0.56 x 100 x 0.999857073
= 55.99199607
d1 --> Rata-rata :
d1 rata-rata = (d1a + d1g) / 2
56.0000000 + 55.99199607
2
b.) Jarak Titik A - B (d2)
d2 --> Pesawat di Titik A (d2a) :
BA = 3.210
BT = 3.020
BB = 2.830
Sudut V = 90.00000000
(BA - BB) = 3.21 - 2.83 = 0.38
Sin2
V = Sin2 90.00000000 = 1
d2a = (BA - BB) x 100 x Sin2
V
= 0.38 x 100 x 1
= 38
d2 --> Pesawat di Titik B (d2b) :
BA = 0.489
BT = 0.300
BB = 0.111
Sudut V = 88.33638889
(BA - BB) = 0.489 - 0.111 = 0.378
= = 55.99599804
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Sin2
V = Sin2 88.33638889 = 0.999157177
d2b = (BA - BB) x 100 x Sin2
V
= 0.378 x 100 x 0.999157177
= 37.7681413
d2 --> Rata-rata :
d2 rata-rata = (d2a + d2b) / 2
38.0000000 + 37.7681413
2
c.) Jarak Titik B - C (d3)
d3 --> Pesawat di Titik B (d3b) :
BA = 0.463
BT = 0.330
BB = 0.197Sudut V = 97.21722222
(BA - BB) = 0.463 - 0.197 = 0.266
Sin2
V = Sin2 97.21722222 = 0.984216741
d3b = (BA - BB) x 100 x Sin2
V
= 0.266 x 100 x 0.984216741
= 26.1801653
d3 --> Pesawat di Titik C (d3c) :
BA = 0.730
BT = 0.600
BB = 0.470
Sudut V = 86.86666667
(BA - BB) = 0.73 - 0.47 = 0.26
Sin2
V = Sin2 86.86666667 = 0.997012314
d3c = (BA - BB) x 100 x Sin2
V
= 0.26 x 100 x 0.997012314
= 25.92232016
d3 --> Rata-rata :d3 rata-rata = (d3b + d3c) / 2
26.1801653 + 25.92232016
2
= = 37.88407065
= = 26.05124273
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d.) Jarak Titik C - D (d4)
d4 --> Pesawat di Titik C (d4c) :
BA = 1.560
BT = 1.280
BB = 1.000Sudut V = 88.86666667
(BA - BB) = 1.56 - 1 = 0.56
Sin2
V = Sin2 88.86666667 = 0.999608787
d4c = (BA - BB) x 100 x Sin2
V
= 0.56 x 100 x 0.999608787
= 55.97809206
d4 --> Pesawat di Titik D (d4d) :
BA = 1.580
BT = 1.300BB = 1.020
Sudut V = 91.61666667
(BA - BB) = 1.58 - 1.02 = 0.56
Sin2
V = Sin2 91.61666667 = 0.99920406
d4d = (BA - BB) x 100 x Sin2
V
= 0.56 x 100 x 0.99920406
= 55.95542735
d4 --> Rata-rata :
d4 rata-rata = (d4c + d4d) / 2
55.9780921 + 55.95542735
2
e.) Jarak Titik D - E (d5)
d5 --> Pesawat di Titik D (d5d) :
BA = 0.880
BT = 0.735
BB = 0.590
Sudut V = 88.63333333
(BA - BB) = 0.88 - 0.59 = 0.29
Sin2 V = Sin2 88.63333333 = 0.99943115
d5d = (BA - BB) x 100 x Sin2
V
= 0.29 x 100 x 0.99943115
= 28.98350336
= = 55.96675971
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d5 --> Pesawat di Titik E (d5e) :
BA = 1.699
BT = 1.551
BB = 1.403
Sudut V = 93.00000000(BA - BB) = 1.699 - 1.403 = 0.296
Sin2
V = Sin2 93.00000000 = 0.997260948
d5e = (BA - BB) x 100 x Sin2
V
= 0.296 x 100 x 0.997260948
= 29.51892405
d5 --> Rata-rata :
d5 rata-rata = (d5d + d5e) / 2
28.9835034 + 29.51892405
2
f.) Jarak Titik E - F (d6)
d6 --> Pesawat di Titik E (d6e) :
BA = 1.420
BT = 1.210
BB = 1.000
Sudut V = 89.25000000
(BA - BB) = 1.42 - 1 = 0.42
Sin2
V = Sin2 89.25000000 = 0.999828662
d6e = (BA - BB) x 100 x Sin2 V
= 0.42 x 100 x 0.999828662
= 41.99280382
d6 --> Pesawat di Titik F (d6f) :
BA = 1.930
BT = 1.725
BB = 1.520
Sudut V = 90.86694444
(BA - BB) = 1.93 - 1.52 = 0.41
Sin2
V = Sin2 90.86694444 = 0.999771069
d6f = (BA - BB) x 100 x Sin2
V
= 0.41 x 100 x 0.999771069
= 40.99061384
= = 29.2512137
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d6 --> Rata-rata :
d6 rata-rata = (d6e + d6f) / 2
41.9928038 + 40.99061384
2
g.) Jarak Titik F - G (d7)
d7 --> Pesawat di Titik F (d7f) :
BA = 0.900
BT = 0.780
BB = 0.660
Sudut V = 90.86694444
(BA - BB) = 0.9 - 0.66 = 0.24
Sin2
V = Sin2 90.86694444 = 0.999771069
d7f = (BA - BB) x 100 x Sin2
V
= 0.24 x 100 x 0.999771069= 23.99450566
d7 --> Pesawat di Titik G (d7g) :
BA = 1.050
BT = 0.930
BB = 0.810
Sudut V = 92.15000000
(BA - BB) = 1.05 - 0.81 = 0.24
Sin2
V = Sin2 92.15000000 = 0.998592567
d7g = (BA - BB) x 100 x Sin2 V
= 0.24 x 100 x 0.998592567
= 23.9662216
d7 --> Rata-rata :
d7 rata-rata = (d7f + d7g) / 2
23.9945057 + 23.9662216
2= = 23.98036363
= = 41.49170883
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Rekap Hasil Perhitungan Jarak Datar :
d1 = 55.99599804 m
d2 = 37.88407065 m
d3 = 26.05124273 m
d4 = 55.96675971 md5 = 29.25121370 m
d6 = 41.49170883 m
d7 = 23.98036363 m
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PERHITUNGAN KOORDINAT TITIK
Diketahui :
Koordinat Titik A :
XA = 433914.1438
YA = 9220458.1361
Koordinat Titik G :
XG = 433865.4380 48.70579178 433914.1438
YG = 9220485.7680 -27.63189703 9220458.1361
Sudut-Sudut Dalam () :
A = 111.6997222
B = 136.6172222
C = 128.6505556
D = 99.91805556
E = 117.3680556
F = 263.2847222
G = 42.43388889
= 899.9722222
Jumlah Titik Sudut :n = Jumlah Titik Sudut
= 6
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Ukuran Jarak Datar :
d1 = 55.99599804 m
d2 = 37.88407065 m
d3 = 26.05124273 m
d4 = 55.96675971 m
d5 = 29.2512137 m
d6 = 41.49170883 m
d7 = 23.98036363 m
d = 270.6213573 m
Keterangan :
Toleransi KPS = 7"n1 fx2 + fy2
200 di
1. Hitung Sudut Jurusan Awal (ag) dan Sudut Jurusan Akhir (ga)
Sudut Jurusan Awal (ag)
Xg - Xa
Yg - Ya
433865.4380 - 433914.1438
9220485.7680 - 9220458.1361
-48.7058
27.6319
= ArcTan -1.762665615 = -60.43277929
Berada di kuadran IV (sehingga + 360) = 299.5672207
Sudut Jurusan Akhir (ga)
Xa - Xg
Ya - Yg
433914.1438 - 433865.4380
9220458.1361 - 9220485.7680
48.7058
-27.6319
= ArcTan -1.762665615 = -60.43277929
Berada di kuadran II (sehingga + 180) = 119.5672207
= ArcTan = -1.762665615
-1.762665615
Ketelitian Relatif Jarak =
ag = ArcTan
= ArcTan
= ArcTan =
ga = ArcTan
ga = ArcTan
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2 Hitung Syarat Geometrik KPS (Kesalahan Penutup Sudut)
KPS = - ((n-2) x 180) - (ag - ga)
n = 6
= 899.9722222ag = 299.5672207ga = 119.5672207
((n-2) x 180) = 4 x 180 = 720
(ag - ga) = 299.5672207 - 119.5672207 = 180
KPS = - ((n-2) x 180) - (ag - ga)= 899.9722222 - 720 - 180
= -0.027777778
f = -KPS = 0.027777778
f 0.027777778n 6
Toleransi KPS = 7"n = 0.001944444 6= 0.004762897
Sehingga Vi memenuhi syarat Toleransi KPS (V1 < Toleransi KPS)
3. Sudut yang Dikoreksi
ikoreksi = i + Vi
Akoreksi = A + Vi= 111.6997222 + 0.00462963 = 111.7043519
Bkoreksi = B + Vi
= 136.6172222 + 0.00462963 = 136.6218519
Ckoreksi = C + Vi
= 128.6505556 + 0.00462963 = 128.6551852
Dkoreksi = D + Vi
= 99.91805556 + 0.00462963 = 99.92268519
Ekoreksi = E + Vi
= 117.3680556 + 0.00462963 = 117.3726852
Fkoreksi = F + Vi= 263.2847222 + 0.00462963 = 263.2893519
Gkoreksi = G + Vi
= 42.43388889 + 0.00462963 = 42.43851852
= = = 0.00462963Koreksi (Vi)
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4. Hitung Sudut Jurusan Masing-masing Titik
ag = 299.5672207ba = ag - 180 + A koreksi
= 299.5672207 - 180.0000000 + 111.7043519
= 231.2715726cb = ba - 180 + B koreksi
= 231.2715726 - 180.0000000 + 136.6218519
= 187.8934244
dc = cb - 180 + C koreksi
= 187.8934244 - 180.0000000 + 128.6551852
= 136.5486096
ed = dc - 180 + D koreksi
= 136.5486096 - 180.0000000 + 99.92268519
= 56.4712948
fe = ed - 180 + E koreksi
= 56.47129479 - 180.0000000 + 117.3726852
= -6.1560200
= 353.8439800
gf = fe - 180 + F koreksi
= 353.8439800 - 180.0000000 + 263.2893519
= 437.1333318
= 77.1333318
ga = gf - 180 + G koreksi
= 77.1333318 - 180.0000000 + 42.43851852
= -60.4281497
= 119.5718503
5. Hitung x ( Absis)
Xa - Xg
Sin ga
433914.1438 - 433865.4380
Sin 119.5718503
48.7058
0.8697375
Ya - Yg
Cos ga9220458.1361 - 9220485.7680
Cos 119.5718503
-27.6319
-0.49351462
dga 1 (d1) =
=
= = 56.00057487
dga 2 (d1) =
=
= = 55.99003323
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dga 1 + dga 2 56.00057487 + 55.99003323
2 2
= 55.99530405
Jarak Hasil Pembidikan Theodolite :
dba (d2) = 37.88407065 m
dcb (d3) = 26.05124273 m
ddc (d4) = 55.96675971 m
ded (d5) = 29.25121370 m
dfe (d6) = 41.49170883 m
dgf (d7) = 23.98036363 m
d = 214.62535926 m
x ( Absis) :
Xgf = d7 x sin gf= 23.98036363 x sin 77.1333318= 23.98036363 x 0.974890905
= 23.3782384
Xfe = d6 x sin fe= 41.49170883 x sin 353.8439800
= 41.49170883 x -0.107236218
= -4.449413949
Xed = d5 x sin ed= 29.25121370 x sin 56.4712948
= 29.25121370 x 0.833609197
= 24.38408076Xdc = d4 x sin dc= 55.96675971 x sin 136.5486096
= 55.96675971 x 0.687738922
= 38.490519
Xcb = d3 x sin cb= 26.05124273 x sin 187.8934244
= 26.05124273 x -0.137330869
= -3.577639796
Xba = d2 x sin ba= 37.88407065 x sin 231.2715726
= 37.88407065 x -0.780120096= -29.55412482
di . Sin i = 48.67165960
dga (d1) = =
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6. Hitung y ( Ordinat)
Ygf = d7 x cos gf= 23.98036363 x cos 77.13333182
= 23.98036363 x 0.222683011
= 5.340019576Yfe = d6 x cos fe= 41.49170883 x cos 353.84398
= 41.49170883 x 0.994233571
= 41.25244983
Yed = d5 x cos ed= 29.25121370 x cos 56.47129479
= 29.25121370 x 0.552354693
= 16.15704517
Ydc = d4 x cos dc= 55.96675971 x cos 136.5486096
= 55.96675971 x -0.725958108
= -40.629523
Ycb = d3 x cos cb= 26.05124273 x cos 187.8934244
= 26.05124273 x -0.990525231
= -25.80441322
Yba = d2 x cos ba= 37.88407065 x cos 231.2715726
= 37.88407065 x -0.625629792
= -23.70140323
di . Cos i = -27.38582487
7. Hitung Kesalahan Absis (fx)
fx = di . Sin i - (Xa - Xg)
di . Sin i = 48.67165960Xa = 433914.1438
Xg = 433865.4380
(Xa - Xg) = 433914.1438 - 433865.4380 = 48.7058
fx = di . Sin i - (Xa - Xg)
= 48.67165960 - 48.7058= -0.03414040
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8. Hitung Kesalahan Ordinat (fy)
fy = di . Cos i - (Ya - Yg)
di . Cos i = -27.38582487Ya = 9220458.1361
Yg = 9220485.7680(Ya - Yg) = 9220458.1361 - 9220485.7680 = -27.6319
fy = di . Cos i - (Ya - Yg)= -27.38582487 - -27.6319
= 0.24607513
Ketelitian Relatif Jarak :
1 fx2 + fy2
200 di
1
200
fx = -0.03414040
fy = 0.24607513
fx2 + fy2 = 0.248432161di = 214.62535926
fx2 + fy2 0.24843216di 214.62535926
Sehinggamemenuhi syarat Ketelitian Relatif Jarak
= 0.005 0.001157515
9. Hitung Koreksi Absis
VXgf = (d7 / d) x (-fx)23.98036363
214.62535926
VXfe = (d6 / d) x (-fx)41.49170883
214.62535926
VXed = (d5 / d) x (-fx)29.25121370
214.62535926
VXdc = (d4 / d) x (-fx)55.96675971
214.62535926
Ketelitian Relatif Jarak =
= 0.005
= = 0.001157515
= x 0.03414040 =
= x 0.03414040 = 0.006600075
0.00381455
= x 0.03414040 = 0.008902618
= x 0.03414040 = 0.004652983
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VXcb = (d3 / d) x (-fx)26.05124273
214.62535926
VXba = (d2 / d) x (-fx)
37.88407065214.62535926
10. Hitung Koreksi Ordinat
VYgf = (d7 / d) x (-fy)23.98036363
214.62535926
VYfe = (d6 / d) x (-fy)41.49170883
214.62535926
VYed = (d5 / d) x (-fy)29.25121370
214.62535926
VYdc = (d4 / d) x (-fy)55.96675971
214.62535926
VYcb = (d3 / d) x (-fy)26.05124273
214.62535926
VYba = (d2 / d) x (-fy)37.88407065
214.62535926
11. Hitung x ( Absis) yang Terkoreksi
Xgfkor = Xgf + VXgf= 23.3782384 + 0.00381455 = 23.38205295
Xfe kor = Xfe + VXfe= -4.449413949 + 0.006600075 = -4.442813873
Xed kor = Xed + VXed= 24.38408076 + 0.004652983 = 24.38873374
Xdc kor = Xdc + VXdc= 38.490519 + 0.008902618 = 38.49942162
Xcb kor = Xcb + VXcb= -3.577639796 + 0.004143965 = -3.573495831
Xba kor = Xba + VXba= -29.55412482 + 0.006026209 = -29.54809861
= x -0.24607513 =
-0.029868619
= x -0.24607513 = -0.064167757
-0.027494287
= x -0.24607513 = -0.033537492
= x -0.24607513 = -0.047571628
= x -0.24607513 = -0.043435351
= x 0.03414040 = 0.006026209
= x 0.03414040 = 0.004143965
= x -0.24607513 =
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12. Hitung y ( Ordinat) yang Terkoreksi
Ygfkor = Ygf + VYgf= 5.340019576 + -0.027494287 = 5.312525289
Yfe kor = Yfe + VYfe
= 41.25244983 + -0.047571628 = 41.20487821Yed kor = Yed + VYed
= 16.15704517 + -0.033537492 = 16.12350768
Ydc kor = Ydc + VYdc= -40.629523 + -0.064167757 = -40.69369076
Ycb kor = Ycb + VYcb= -25.80441322 + -0.029868619 = -25.83428184
Yba kor = Yba + VYba= -23.70140323 + -0.043435351 = -23.74483858
12. Hitung Koordinat Titik Definitif
XG = 433865.4380
YG = 9220485.7680
XF = XG + Xgf kor= 433865.4380 + 23.38205295 = 433888.8201
YF = YG + Ygf kor= 9220485.7680 + 5.312525289 = 9220491.0805
XE = XF + Xfe kor
= 433888.8201 + -4.442813873 = 433884.3772YE = YF + Yfe kor= 9220491.0805 + 41.20487821 = 9220532.2854
XD = XE + Xed kor= 433884.3772 + 24.38873374 = 433908.7660
YD = YE + Yed kor= 9220532.2854 + 16.12350768 = 9220548.4089
XC = XD + Xdc kor= 433908.7660 + 38.49942162 = 433947.2654
YC = YD + Ydc kor= 9220548.4089 + -40.69369076 = 9220507.7152
XB = XC + Xcb kor= 433947.2654 + -3.573495831 = 433943.6919
YB = YC + Ycb kor= 9220507.7152 + -25.83428184 = 9220481.8809
7/30/2019 Pengukuran Poligon Tertutup Terikat Koordinat (1)
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XA = XB + Xba kor= 433943.6919 + -29.54809861 = 433914.1438
YA = YB + Yba kor= 9220481.8809 + -23.74483858 = 9220458.1361
Sehingga Koordinat Titik Definitif adalah Sebagai Berikut :
XG = 433865.4380
YG = 9220485.7680
XF = 433888.8201
YF = 9220491.0805
XE = 433884.3772
YE = 9220532.2854
XD = 433908.7660
YD = 9220548.4089
XC = 433947.2654
YC = 9220507.7152
XB = 433943.6919
YB = 9220481.8809
XA = 433914.1438
YA = 9220458.1361