< Previous 28010 Pengukuran Poligon Kerangka Dasar Horisontal Contoh hasil pengukuran poligon kerangka dasar horizontal Dari lapangan didapat ; PENGOLAHAN DATA Diketahui : Data hasil Pengukuran Poligon Tertutup dengan titik Poligon 1 (786488 ; 9240746). Tabel 22. Bacaan sudut Tabel 23. Jarak Bacaan Sudut Bacaan Sudut Sudut q Desimal D12 = E1 96 48 0 96,80000 E2 191 4 30 191,07500 E3 171 54 0 171,90000 E4 100 34 30 100,57500 E5 158 30 0 158,50000 E6 87 36 30 87,60833 E7 185 51 0 185,85000 E8 88 46 0 88,76667 E9 180 53 30 180,89167 6E 1256 356120 1261,96667 Jarak d1 23 d2 11 d3 35 d4 15 d5 31 d6 28 d7 51 d8 21 d9 12 6d 227 28110 Pengukuran Poligon Kerangka Dasar Horisontal Ditanyakan : Koordinat titik P2, P3, P4, P5, P6, P7, P8, dan P9 dengan Metode Bowditch dan Metode Transit, serta cari luas Poligon Tertutup dengan Metode Sarrus ? Jawaban : I. POLIGON TERTUTUP METODE BOWDITCH A. Syarat 1 lDakhir - Dawall = 6E - (n-2) . 180q + fE l96,8 – 96,8l = 1261,96667 – (9 – 2) . 180Û + fȕ 0 = 1,96667 + fȕ fȕ = -1,96667 Mencari E Koreksi : xE1 = E1 + (fE : 9) = 96,80000 + (-1,96667 : 9) = 96,58148 xE2 = E2 + (fE : 9) = 191,07500 + (-1,96667 : 9) = 190,85648 xE3 = E3 + (fE : 9) = 171,90000 + (-1,96667 : 9) = 171,68148 xE4 = E4 + (fE : 9) = 100,57500 + (-1,96667 : 9) = 100,35648 xE5 = E5 + (fE : 9) = 158,50000 + (-1,96667 : 9) = 158,28148 xE6 = E6 + (fE : 9) = 87,60833 + (-1,96667 : 9) = 87,38981 xE7 = E7 + (fE : 9) = 185,85000 + (-1,96667 : 9) = 185,63148 xE8 = E8 + (fE : 9) = 88,76667 + (-1,96667 : 9) = 88,54815 xE9 = E9 + (fE : 9) = 180,89167 + (-1,96667 : 9) = 180,67315 Mencari D Koreksi : xD12 = Dawwal + E1 = 96,80000 + 96,58148 = 193,38148 xD23 = D12 + E2 = 193,38148+ 190,85648 – 180 = 204,23796 xD34 = D23 + E3 = 204,23796+ 171,68148 – 180 = 195,91944 xD45 = D34 + E4 = 195,91944+ 100,35648 – 180 = 116,27593 xD56 = D45 + E5 = 116,2759 + 158,28148 – 180 = -94,55741 28210 Pengukuran Poligon Kerangka Dasar Horisontal xD67 = D56 + E6 = 94,55741 + 87,38981 – 180 = 1,94722 xD78 = D67 + E7 = 1,94722 + 185,63148 – 180 = 7,57870 xD89 = D78 + E8 = 7,57870 + 88,54815 – 180 = -83,87315 xD91 = D89 + E9 = -83,87315 + 180,67315 – 180 = -83,20000 B. Syarat 2 6'X = 6d Sin D 6'X = (23 . Sin 193,40333) + (11 . Sin 204,28167) + (35 . Sin 195,985) + (15 . Sin 116,36333) + (31 . Sin 94,66667) + (28 . Sin 2,07833) + (51 . Sin 7,73167) + (21 . Sin -83,698333) + (12 . Sin -83,00333) 6'X = -0,20463 6'Y = 6d Cos D 6'Y = (23 . Cos 193,40333) + (11 . Cos 204,28167) + (35 . Cos 195,985) + (15 . Sin 116,36333) + (31 . Cos 94,66667) + (28 . Cos 2,07833) + (51 . Cos 7,73167) + (21 . Cos -83,698333) + (12 . Cos -83,00333) 6'Y = -0,29105 Mencari Bobot X xBobot X P1 = ('X12 : 6'X) = (-5,32297 : -0,20463) = 26,01208 xBobot X P2 = ('X23 : 6'X) = (-4,51580 : -0,20463) = 22,06763 xBobot X P3 = ('X34 : 6'X) = (-9,59999 : -0,20463) = 46,91286 xBobot X P4 = ('X45 : 6'X) = (13,45009 : -0,20463) = -65,72735 xBobot X P5 = ('X56 : 6'X) = (30,90198 : -0,20463) = -151,01059 xBobot X P6 = ('X67 : 6'X) = (0,95141 : -0,20463) = -4,64930 xBobot X P7 = ('X78 : 6'X) = (6,72628 : -0,20463) = -32,86973 xBobot X P8 = ('X89 : 6'X) = (-20,88005 : -0,20463) = 102,03579 28310 Pengukuran Poligon Kerangka Dasar Horisontal xBobot X P9 = ('X91 : 6'X) = (-11,91559 : -0,20463) = 58,22861 Mencari Bobot Y xBobot Y P1 = ('Y12 :6 'Y) = (-22,37557 : -0,29105) = 76,87877 xBobot Y P2 = ('Y23 :6 'Y) = (-10,03033 : -0,29105) = 34,46257 xBobot Y P3 = ('Y34 :6 'Y) = (-33,65769 : -0,29105) = 115,64230 xBobot Y P4 = ('Y45 :6 'Y) = (-6,64042 : -0,29105) = 22,81539 xBobot Y P5 = ('Y56 :6 'Y) = (-2,46320 : -0,29105) = 8,46314 xBobot Y P6 = ('Y67 :6 'Y) = ( 27,98383 : -0,29105) = -96,14785 xBobot Y P7 = ('Y78:6 'Y) = ( 50,55450 : -0,29105) = -173,69695 xBobot Y P8 = ('Y89 :6 'Y) = (-2,24133 : -0,29105) = 7,70084 xBobot Y P9 = ('Y91 : 6'Y) = (-1,42085 : -0,29105) = 4,88180 Mencari Nilai Koreksi 'X xKoreksi 'X1 = 'X12 - (6'X . Bobot X P1) = -5,32297 – (-0,20463 . 26,01208) = -0,000118 xKoreksi 'X2 = 'X23 - (6'X . Bobot X P2) = -4,51580 - (-0,20463 . 22,06763) = -0,000101 xKoreksi 'X3 = 'X34 - (6'X . Bobot X P3) = -9,59999 – (-0,20463 . 46,91286) = -0,000211 xKoreksi 'X4 = 'X45 - (6'X . Bobot X P4) = 13,45009 – (-0,20463 . -65,72735) = 0,000302 xKoreksi 'X5 = 'X56 - (6'X . Bobot X P5) = 30,90198 – (-0,20463 . -151,01059) = 0,000683 xKoreksi 'X6 = 'X67 - (6'X . Bobot X P6) = 0,95141 - (-0,20463 . -4,64930) = 0,000024 xKoreksi 'X7 = 'X78 - (6'X . Bobot X P7) = 6,72628 - (-0,20463 . -32,86973) = 0,000147 28410 Pengukuran Poligon Kerangka Dasar Horisontal xKoreksi 'X8 = 'X89 - (6'X . Bobot X P8) = -20,88005 - (-0,20463 . 102,03579) = -0,000466 xKoreksi 'X9 = 'X91 - (6'X . Bobot X P9) = -11,91559 - (-0,20463 . 58,22861) = -0,000270 Mencari Nilai Koreksi 'Y xKoreksi 'Y1 = 'Y12 - (6'Y . Bobot Y P1) = -22,37557 - (-0,29105 . 76,87877) = 0,000685 xKoreksi 'Y2 = 'Y23 - (6'Y . Bobot Y P2) = -10,03033 - (-0,29105 . 34,46257) = -0,000290 xKoreksi 'Y3 = 'Y34 - (6'Y . Bobot Y P3) = -33,65769 - -(0,29105 . 115,64230) = -0,001106 xKoreksi 'Y4 = 'Y45 - (6'Y . Bobot Y P4) = -6,64042 - (-0,29105 . 22,81539) = 0,000276 xKoreksi 'Y5 = 'Y56 - (6'Y . Bobot Y P5) = -2,46320 - (-0,29105 . 8,46314) = -0,000334 xKoreksi 'Y6 = 'Y67 - (6'Y . Bobot Y P6) = 27,98383 - (-0,29105 . -96,14785) = 0,000882 xKoreksi 'Y7 = 'Y78 - (6'Y . Bobot Y P7) = 50,55450 - (-0,29105 . -173,69695) = 0,001537 xKoreksi 'Y8 = 'Y89 - (6'Y . Bobot Y P8) = -2,24133 - (-0,29105 . 7,700840) = 0,000182 xKoreksi 'Y9 = 'Y91 - (6'Y . Bobot Y P9) = -1,42085 - (-0,29105 . 4,88180) = 0,000091 28510 Pengukuran Poligon Kerangka Dasar Horisontal Mencari Nilai Setelah Koreksi 'X xSetelah Koreksi 'X1 = 'X12 + Koreksi 'X1 = -22,37557 + 0,000685 = -5,32309 xSetelah Koreksi 'X2 = 'X23 + Koreksi 'X2 = -4,51580 + -0,000101 = -4,51590 xSetelah Koreksi 'X3 = 'X34 + Koreksi 'X3 = -9,59999 + -0,000211 = -9,60020 xSetelah Koreksi 'X4 = 'X45 + Koreksi 'X4 = 13,45009 + 0,000302 = 13,45039 xSetelah Koreksi 'X5 = 'X56 + Koreksi 'X5 = 30,90198 + 0,000683 = 30,90267 xSetelah Koreksi 'X6 = 'X67 + Koreksi 'X6 = 0,95141 + 0,000024 = 0,95143 xSetelah Koreksi 'X7 = 'X78 + Koreksi 'X7 = 6,72628 + 0,000147 = 6,72643 xSetelah Koreksi 'X8 = 'X89 + Koreksi 'X8 = -20,88005 + -0,000466 = -20,88052 xSetelah Koreksi 'X9 = 'X91 + Koreksi 'X9 = -11,91559 + -0,000270 = -11,91586 Mencari Nilai Setelah Koreksi 'Y xSetelah Koreksi 'Y1 = 'Y12 + Koreksi 'Y1 = -22,37557 + 0,000685 = -22,37488 xSetelah Koreksi 'Y2 = 'Y23 + Koreksi 'Y2 = -10,03033 + -0,000290 = -10,03062 xSetelah Koreksi 'Y3 = 'Y34 + Koreksi 'Y3 = -33,65769 + -0,001106 = -33,65880 28610 Pengukuran Poligon Kerangka Dasar Horisontal xSetelah Koreksi 'Y4 = 'Y45 + Koreksi 'Y4 = -6,64042 + 0,000276 = -6,64014 xSetelah Koreksi 'Y5 = 'Y56 + Koreksi 'Y5 = -2,46320 + -0,000334 = -2,46353 xSetelah Koreksi 'Y6 = 'Y67 + Koreksi 'Y6 = 27,98383 + 0,000882 = 27,98471 xSetelah Koreksi 'Y7 = 'Y78 + Koreksi 'Y7 = 50,55450 + 0,001537 = 50,55603 xSetelah Koreksi 'Y8 = 'Y89 + Koreksi 'Y8 = -2,24133 + 0,000182 = -2,24115 xSetelah Koreksi 'Y9 = 'Y91 + Koreksi 'Y9 =-1,42085 + 0,000091 = -1,42076 C. Mencari Koordinat Dengan Metode Bowditch TITIK 2 xX2 = X1 + Setelah Koreksi 'X1 = 786488 + -5,32309 = 786482,68 xY2 = Y1 + Setelah Koreksi 'Y1 = 9240746 + -22,37488 = 9240723,62 TITIK 3 xX3 = X2+ Setelah Koreksi 'X2 = 786482,68+ -4,51590 = 786478,16 xY3 = Y2+ Setelah Koreksi 'Y2 =9240723,62+ -10,03062= 9240713,59 TITIK 4 xX4 = X3+ Setelah Koreksi 'X3 = 786478,16+-9,60020 = 786468,56 xY4 = Y3+ Setelah Koreksi 'Y3=9240713,59+ -33,65880 = 9240679,94 TITIK 5 xX5 = X4+ Setelah Koreksi 'X4 = 786468,56+ 13,45039 = 786482,06 xY5 = Y4+ Setelah Koreksi 'Y4 = 9240679,94+ -6,64014 = 9240673,30 28710 Pengukuran Poligon Kerangka Dasar Horisontal TITIK 6 xX6 = X5+ Setelah Koreksi 'X5 = 786482,06+ 30,90267 = 786512,97 xY6 = Y5+ Setelah Koreksi 'Y5 = 9240673,30+-2,46353 = 9240670,83 TITIK 7 xX7 = X6+ Setelah Koreksi 'X6 = 786512,97+ 0,95143 = 786513,92 xY7 = Y6+ Setelah Koreksi 'Y6 = 9240670,83+ 27,98471= 9240698,82 TITIK 8 xX8 = X7+ Setelah Koreksi 'X7 = 786513,92+ 6,72643 = 786520,64 xY8 = Y7+ Setelah Koreksi 'Y7 = 9240698,82+ 50,55603 = 9240749,37 TITIK 9 xX9 = X8+ Setelah Koreksi 'X8 = 786520,64+-20,88052 = 786499,76 xY9 = Y8+ Setelah Koreksi 'Y8 = 9240749,37+ -2,24115 = 9240747,13 CONTROL xX1 = X9+ Setelah Koreksi 'X9 = 786499,76+-11,91586 = 786488 xY1 = Y9+ Setelah Koreksi 'Y9 = 9240747,13+ -1,42076 = 9240746 II. POLIGON TERTUTUP METODE TRANSIT A. Syarat 1 lDakhir - Dawall = 6E - (n-2) . 180q + fE l96,8 – 96,8l = 1261,96667 – (9 – 2) . 180Û + fȕ 0 = 1,96667 + fȕ fȕ = -1,96667 28810 Pengukuran Poligon Kerangka Dasar Horisontal Mencari E Koreksi : xE1 = E1 + (fE : 9) = 96,80000 + (-1,96667 : 9) = 96,58148 xE2 = E2 + (fE : 9) = 191,07500 + (-1,96667 : 9) = 190,85648 xE3 = E3 + (fE : 9) = 171,90000 + (-1,96667 : 9) = 171,68148 xE4 = E4 + (fE : 9) = 100,57500 + (-1,96667 : 9) = 100,35648 xE5 = E5 + (fE : 9) = 158,50000 + (-1,96667 : 9) = 158,28148 xE6 = E6 + (fE : 9) = 87,60833 + (-1,96667 : 9) = 87,38981 xE7 = E7 + (fE : 9) = 185,85000 + (-1,96667 : 9) = 185,63148 xE8 = E8 + (fE : 9) = 88,76667 + (-1,96667 : 9) = 88,54815 xE9 = E9 + (fE : 9) = 180,89167 + (-1,96667 : 9) = 180,67315 Mencari D Koreksi : xD12 = D12 + E1 = 96,80000 + 96,58148 = 193,38148 xD23 = D12 + E2 = 193,38148+ 190,85648 – 180 = 204,23796 xD34 = D23 + E3 = 204,23796+ 171,68148 – 180 = 195,91944 xD45 = D34 + E4 = 195,91944+ 100,35648 – 180 = 116,27593 xD56 = D45 + E5 = 116,2759 + 158,28148 – 180 = -94,55741 xD67 = D56 + E6 = 94,55741 + 87,38981 – 180 = 1,94722 xD78 = D67 + E7 = 1,94722 + 185,63148 – 180 = 7,57870 xD89 = D78 + E8 = 7,57870 + 88,54815 – 180 = -83,87315 xD91 = D89 + E9 = -83,87315 + 180,67315 – 180 = -83,20000 28910 Pengukuran Poligon Kerangka Dasar Horisontal B. Syarat 2 6'X = 6d Sin D 6'X = (23 . Sin 193,40333) + (11 . Sin 204,28167) + (35 . Sin 195,985) + (15 . Sin 116,36333) + (31 . Sin 94,66667) + (28 . Sin 2,07833) + (51 . Sin 7,73167) + (21 . Sin -83,698333) + (12 . Sin -83,00333) 6'X = -0,20463 6'Y = 6d Cos D = (23 . Cos 193,40333) + (11 . Cos 204,28167) + (35 . Cos 195,985) + (15 . Sin 116,36333) + (31 . Cos 94,66667) + (28 . Cos 2,07833) + (51 . Cos 7,73167) + (21 . Cos -83,698333) + (12 . Cos -83,00333) 6'Y = -0,29105 Mencari Nilai Koreksi 'X xKoreksi 'X1 = ('X12 . 6'X) : d1 = (-9,59999 . -0,20463): 23 = 0,04736 xKoreksi 'X2 = ('X23 . 6'X) : d2 = (6,38807 . -0,09514) : 11 = 0,08401 xKoreksi 'X3 = ('X34 . 6'X) : d3 = (-9,59999 . -0,20463) : 35 = 0,05613 xKoreksi 'X4 = ('X45 . 6'X) : d4 = (13,45009 . -0,20463) : 15 = -0,18349 xKoreksi 'X5 = ('X56 . 6'X) : d5 = (30,90198 . -0,20463) : 31 = -0,20399 xKoreksi 'X6 = ('X67 . 6'X) : d6 = (0,95141 . -0,20463) : 28 = -0,00695 xKoreksi 'X7 = ('X78 . 6'X) : d7 Next >