Perhitungan Analisis Data Theodolit - Tugas Muslimah Klempk 2

PROFIL MEMANJANG Konversi ke bentuk decimal degree Dari semua hasil data sudut pengukuran praktikum praktikum di lapangan telah dikonversi ke dalam desimal degree Contoh: 197° 36' 40" 36 40 = 19 197 + + 60 3600 = 197 + 0.6 + 0.0111 = 197.611111 Profil Memanjang Perhitungan jarak sudut horizontal horizontal Rumus : Σβ = β1 + β2 + β3 + … βn β P0 β P1

=

178

°

32

5

"

=

178.5347

=

231

°

4

35

"

=

231.0764

β P2

=

288

°

2

20

"

=

288.0389

β P3

=

192

°

56

5

"

=

192.9347

β P4

=

221

°

15

35

"

=

221.2597

β P5

=

250

°

28

25

"

=

250.4736

β P6

= =

245

°

19

45

"

=

245.3292 1607.6472

Σβ

Koreksi sudut (Σk) Rumus : Σk = = =

Σβ-(n±2). Σβ-(n±2). 180° ( 7 + -12.3528

2 )

.

180

°

-

1607.6472

1607.6472

Koreksi sudut horizontal ( ∆β) Rumus

: =

∆β

= =

Σk n -12.353 7 -1.7647

0 0 #DIV/0!

= =

Perhitungan sudut horizontal terkoreksi Rumus : βn = βn ± ∆β = 178.5347 βP0

-1.7647

=

180.2994

0.68553241

βP1

=

231.0764

-

-1.7647

=

232.8411

0.68553241

βP2

=

288.0389

-

-1.7647

=

289.8036

0.68553241

βP3

=

192.9347

-

-1.7647

=

194.6994

0.68553241

βP4

=

221.2597

-

-1.7647

=

223.0244

0.68553241

βP5

=

250.4736

-

-1.7647

=

252.2383

0.68553241

βP6

=

245.3292

-

-1.7647

=

247.0938

0.68553241

Perhitungan azimut benar patok utama ( αn) Rumus

: αn =

β P0 αn-1

±

±

βn (koreksi)

180

=

120

°

Ketentuan dari asisten nilai alfa u! 42 40 "

=

120.7111

°

α0 =

180.2994

α0

=

α1 =

180.2994

+

232.8411

+

-180

=

233.1405

α1

=

180.2994

+

232.8411

+

-180

=

233.1405

α2 =

233.1405

+

289.8036

+

-180

=

342.9440

α2

=

233.1405

+

289.8036

+

-180

=

342.9440

α3 =

342.9440

+

194.6994

+

-180

=

357.6435

α3

=

342.9440

+

194.6994

+

-180

=

357.6435

α4 =

357.6435

+

223.0244

+

-180

=

400.6679

α4

=

357.6435

+

223.0244

+

-180

=

400.6679

α5 =

400.6679

+

252.2383

+

-180

=

472.9062

α5

=

400.6679

+

252.2383

+

-180

=

472.9062

α6 =

472.9062

+

247.0938

+

-180

=

540.0000

α6

=

472.9062

+

247.0938

+

-180

=

540.0000

α0 =

540.0000

+

180.2994

+

-180

=

540.2994 180.2994

α0

= =

540.0000 540.2994

+ + -

180.2994 360

+

-180

= =

540.2994 180.2994

Perhitungan jarak optis patok utama Rumu umus : D0 n = (Ba-Bb) x Do P0-P1 Do P1-P2 Do P2-P3 Do P3-P4 Do P4-P5 Do P5-P6 Do P6-P0

= = = = = = =

( ( ( ( ( ( (

1.380 1.090 2.820 2.080 1.830 1.240 1.150

100 -

Perhitungan jarak proyeksi patok utama (Dpn)

0.860 0.600 2.320 1.550 1.330 0.840 0.640

) ) ) ) ) ) )

x x x x x x x ΣD0

100 100 100 100 100 100 100

= = = = = = = =

52 49 50 53 50 40 51 345

m m m m m m m m

180.2994

-


: αn =

=

β P0 αn-1

±

±

βn (koreksi)

180

120

°


=

120.7111

°

α0 =

180.2994

α0

=

α1 =

180.2994

+

232.8411

+

-180

=

233.1405

α1

=

180.2994

+

232.8411

+

-180

=

233.1405

α2 =

233.1405

+

289.8036

+

-180

=

342.9440

α2

=

233.1405

+

289.8036

+

-180

=

342.9440

α3 =

342.9440

+

194.6994

+

-180

=

357.6435

α3

=

342.9440

+

194.6994

+

-180

=

357.6435

α4 =

357.6435

+

223.0244

+

-180

=

400.6679

α4

=

357.6435

+

223.0244

+

-180

=

400.6679

α5 =

400.6679

+

252.2383

+

-180

=

472.9062

α5

=

400.6679

+

252.2383

+

-180

=

472.9062

α6 =

472.9062

+

247.0938

+

-180

=

540.0000

α6

=

472.9062

+

247.0938

+

-180

=

540.0000

α0 =

540.0000

+

180.2994

+

-180

=

540.2994 180.2994

α0

= =

540.0000 540.2994

+ + -

180.2994 360

+

-180

= =

540.2994 180.2994


= = = = = = =

( ( ( ( ( ( (

1.380 1.090 2.820 2.080 1.830 1.240 1.150

P0-P1 P1-P2 P2-P3 P3-P4 P4-P5 P5-P6 P6-P7

= = = = = = =

89 89 89 89 89 89 89

° ° ° ° ° ° °

-

58 58 58 58 58 58 58

0.860 0.600 2.320 1.550 1.330 0.840 0.640

) ) ) ) ) ) )

x x x x x x x ΣD0

100 100 100 100 100 100 100

= = = = = = = =

52 49 50 53 50 40 51 345

m m m m m m m m

) 10 10 10 10 10 10 10

" " " " " " "

= = = = = = =

89.9694 89.9694 89.9694 89.9694 89.9694 89.9694 89.9694

52 49 50 53 50 40 51

x x x x x x x

cos² cos² cos² cos² cos² cos² cos²

( ( ( ( ( ( (

90 90 90 90 90 90 90

-

89.9694 89.9694 89.9694 89.9694 89.9694 89.9694 89.9694 ΣDpn

) ) ) ) ) ) )

= = = = = = = =

Forgive me Tmank, kerja sama hanya batas sini sj,…. Selamat merumus…^_^ Good Luck!

Perhitungan jarak horizontal patok utama (Dxn) Rumu umus : sinαn sinαn Dxn = Dp Dpn . Dx0-Dx1

=

52.0000

x

sin

180.2994

=

-0.2717

Dx1-Dx2

=

49.0000

x

sin

233.1405

=

-39.2053

Dx2-Dx3

=

50.0000

x

sin

342.9440

=

-14.6653

Dx3-Dx4

=

53.000

x

sin

357.6435

=

-2.1792

Dx4-Dx5

=

50.0000

x

sin

400.6679

=

32.5836

Dx5-Dx6

=

40.0000

x

sin

472.9062

=

36.8457

Dx6-Dx0

=

51.0000

x

sin

540.0000 ΣDxn

= =

0.0000 13.1078

Perhitungan jarak vertikal patok utama Rumu umus : .cos αn Dyn = Dpn Dy0-Dy1

=

52.0000

x

cos

180.2994

=

-51.9993

Dy1-Dy2

=

49.0000

x

cos

233.1405

=

-29.3929

Dy2-Dy3

=

50.0000

x

cos

342.9440

=

47.8009

Dy3-Dy4

=

53.000

x

cos

357.6435

=

52.9552

Dy4-Dy5

=

50.0000

x

cos

400.6679

=

37.9250

Dy5-Dy6

=

40.0000

x

cos

472.9062

=

-15.5689

Dy6-Dy7

=

51.0000

x

cos

540.0000

=

-51.0000

=

-9.2800

ΣDyn Perhitungan koreksi jarak horizontal Rumu umus : Dpn = x δDxn ΣDp

-

100

Perhitungan jarak proyeksi patok utama (Dpn) Rumu umus : cos² 90°-γ Dpn = Do . ( 90°-γ Dp Dp Dp Dp Dp Dp Dp

180.2994

ΣDx

90°-γ ( 90°-γ ) 0.0306 0.0306 0.0306 0.0306 0.0306 0.0306 0.0306

(90° (90° cos 0.99999 0.99999 0.99999 0.99999 0.99999 0.99999 0.99999


: αn =

=

β P0 αn-1

±

±

βn (koreksi)

180

120

°


=

120.7111

°

α0 =

180.2994

α0

=

α1 =

180.2994

+

232.8411

+

-180

=

233.1405

α1

=

180.2994

+

232.8411

+

-180

=

233.1405

α2 =

233.1405

+

289.8036

+

-180

=

342.9440

α2

=

233.1405

+

289.8036

+

-180

=

342.9440

α3 =

342.9440

+

194.6994

+

-180

=

357.6435

α3

=

342.9440

+

194.6994

+

-180

=

357.6435

α4 =

357.6435

+

223.0244

+

-180

=

400.6679

α4

=

357.6435

+

223.0244

+

-180

=

400.6679

α5 =

400.6679

+

252.2383

+

-180

=

472.9062

α5

=

400.6679

+

252.2383

+

-180

=

472.9062

α6 =

472.9062

+

247.0938

+

-180

=

540.0000

α6

=

472.9062

+

247.0938

+

-180

=

540.0000

α0 =

540.0000

+

180.2994

+

-180

=

540.2994 180.2994

α0

= =

540.0000 540.2994

+ + -

180.2994 360

+

-180

= =

540.2994 180.2994


= = = = = = =

( ( ( ( ( ( (

1.380 1.090 2.820 2.080 1.830 1.240 1.150

P0-P1 P1-P2 P2-P3 P3-P4 P4-P5 P5-P6 P6-P7

= = = = = = =

89 89 89 89 89 89 89

° ° ° ° ° ° °

-

58 58 58 58 58 58 58

0.860 0.600 2.320 1.550 1.330 0.840 0.640

) ) ) ) ) ) )

x x x x x x x ΣD0

100 100 100 100 100 100 100

= = = = = = = =

52 49 50 53 50 40 51 345

m m m m m m m m

) 10 10 10 10 10 10 10

" " " " " " "

= = = = = = =

89.9694 89.9694 89.9694 89.9694 89.9694 89.9694 89.9694

52 49 50 53 50 40 51

x x x x x x x

cos² cos² cos² cos² cos² cos² cos²

( ( ( ( ( ( (

90 90 90 90 90 90 90

-

89.9694 89.9694 89.9694 89.9694 89.9694 89.9694 89.9694 ΣDpn

) ) ) ) ) ) )

= = = = = = = =

Forgive me Tmank, kerja sama hanya batas sini sj,…. Selamat merumus…^_^ Good Luck!


=

52.0000

x

sin

180.2994

=

-0.2717

Dx1-Dx2

=

49.0000

x

sin

233.1405

=

-39.2053

Dx2-Dx3

=

50.0000

x

sin

342.9440

=

-14.6653

Dx3-Dx4

=

53.000

x

sin

357.6435

=

-2.1792

Dx4-Dx5

=

50.0000

x

sin

400.6679

=

32.5836

Dx5-Dx6

=

40.0000

x

sin

472.9062

=

36.8457

Dx6-Dx0

=

51.0000

x

sin

540.0000 ΣDxn

= =

0.0000 13.1078


=

52.0000

x

cos

180.2994

=

-51.9993

Dy1-Dy2

=

49.0000

x

cos

233.1405

=

-29.3929

Dy2-Dy3

=

50.0000

x

cos

342.9440

=

47.8009

Dy3-Dy4

=

53.000

x

cos

357.6435

=

52.9552

Dy4-Dy5

=

50.0000

x

cos

400.6679

=

37.9250

Dy5-Dy6

=

40.0000

x

cos

472.9062

=

-15.5689

Dy6-Dy7

=

51.0000

x

cos

540.0000

=

-51.0000

=

-9.2800

ΣDyn Perhitungan koreksi jarak horizontal Rumu umus : Dpn = x δDxn ΣDp

-

100

Perhitungan jarak proyeksi patok utama (Dpn) Rumu umus : cos² 90°-γ Dpn = Do . ( 90°-γ Dp Dp Dp Dp Dp Dp Dp

180.2994

ΣDx

90°-γ ( 90°-γ ) 0.0306 0.0306 0.0306 0.0306 0.0306 0.0306 0.0306

(90° (90° cos 0.99999 0.99999 0.99999 0.99999 0.99999 0.99999 0.99999


=

52.0000

x

sin

180.2994

=

-0.2717

Dx1-Dx2

=

49.0000

x

sin

233.1405

=

-39.2053

Dx2-Dx3

=

50.0000

x

sin

342.9440

=

-14.6653

Dx3-Dx4

=

53.000

x

sin

357.6435

=

-2.1792

Dx4-Dx5

=

50.0000

x

sin

400.6679

=

32.5836

Dx5-Dx6

=

40.0000

x

sin

472.9062

=

36.8457

Dx6-Dx0

=

51.0000

x

sin

540.0000 ΣDxn

= =

0.0000 13.1078


=

52.0000

x

cos

180.2994

=

-51.9993

Dy1-Dy2

=

49.0000

x

cos

233.1405

=

-29.3929

Dy2-Dy3

=

50.0000

x

cos

342.9440

=

47.8009

Dy3-Dy4

=

53.000

x

cos

357.6435

=

52.9552

Dy4-Dy5

=

50.0000

x

cos

400.6679

=

37.9250

Dy5-Dy6

=

40.0000

x

cos

472.9062

=

-15.5689

Dy6-Dy7

=

51.0000

x

cos

540.0000

=

-51.0000

=

-9.2800

ΣDyn Perhitungan koreksi jarak horizontal Rumu umus : Dpn = x δDxn ΣDp δDx0 δDx1 δDx2 δDx3 δDx4 δDx5 δDx6

= = = = = = =

( ( ( ( ( ( (

52.0000 49.0000 50.0000 53.0000 50.0000 40.0000 51.0000

/ / / / / / /

Perhitungan koreksi jarak vertikal Rumus : Dpn = x δDyn ΣDp δDy0 δDy1 δDy2 δDy3 δDy4 δDy5 δDy6

= = = = = = =

( ( ( ( ( ( (

ΣDx

52.0000 49.0000 50.0000 53.0000 50.0000 40.0000 51.0000

344.9999 344.9999 344.9999 344.9999 344.9999 344.9999 344.9999

) ) ) ) ) ) )

x x x x x x x

13.1078 13.1078 13.1078 13.1078 13.1078 13.1078 13.1078 ΣδDx

= = = = = = = =

1.9757 1.8617 1.8997 2.0137 1.8997 1.5197 1.9377 13.1078

Congratulation ^_^

ΣDy

/ / / / / / /

344.9999019 344.9999019 344.9999019 344.9999019 344.9999019 344.9999019 344.9999019

) ) ) ) ) ) )

x x x x x x x

-9.2800 -9.2800 -9.2800 -9.2800 -9.2800 -9.2800 -9.2800 ΣδDy

= = = = = = = =

89.9694 89.9694 89.9694 89.9694 89.9694 89.9694 89.9694

) ) ) ) ) ) )

-1.3987 -1.3180 -1.3449 -1.4256 -1.3449 -1.0759 -1.3718 -9.2800

Congratulation ^_^

Perhitungan koordinat horizontal patok utama (Xn) Rumus : Xn = Xn-1 + Dxn-1 δDxn-1 Perhitungan beda tinggi patok utama ( ∆Hn) Rumus : = D0n 1/2 sin 2 (90°-γ) + (Tpswt - Bt) ∆Hn ∆H P0-P1 ∆H P1-P2 ∆H P2-P3 ∆H P3-P4 ∆H P4-P5 ∆H P5-P6 ∆H P6-P7

= = = = = = =

52 49 50 53 50 40 51

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

Perhitungan koreksi beda tinggi patok utama Rumus :

sin 2 sin2 sin 2 sin 2 sin 2 sin 2 sin 2

( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

+ + + + + + +

( ( ( ( ( ( (

1.300 1.270 1.450 1.450 1.240 1.310 1.360

-

0.800 1.100 1.035 1.855 0.363 0.830 1.320

) ) ) ) ) ) )

= = = = = = =

(90°-γ) 0.0306 0.0306 0.0306 0.0306 0.0306 0.0306 0.0306

2 x (90°-γ) 0.061111111 0.061111111 0.061111111 0.061111111 0.061111111 0.061111111 0.061111111

sin

Perhitungan koreksi jarak vertikal Rumus : Dpn = x δDyn ΣDp = = = = = = =

δDy0 δDy1 δDy2 δDy3 δDy4 δDy5 δDy6

( ( ( ( ( ( (

ΣDy

52.0000 49.0000 50.0000 53.0000 50.0000 40.0000 51.0000

/ / / / / / /

344.9999019 344.9999019 344.9999019 344.9999019 344.9999019 344.9999019 344.9999019

) ) ) ) ) ) )

x x x x x x x

-9.2800 -9.2800 -9.2800 -9.2800 -9.2800 -9.2800 -9.2800 ΣδDy

= = = = = = = =

89.9694 89.9694 89.9694 89.9694 89.9694 89.9694 89.9694

) ) ) ) ) ) )

-1.3987 -1.3180 -1.3449 -1.4256 -1.3449 -1.0759 -1.3718 -9.2800

Congratulation ^_^

Perhitungan koordinat horizontal patok utama (Xn) Rumus : Xn = Xn-1 + Dxn-1 δDxn-1 Perhitungan beda tinggi patok utama ( ∆Hn) Rumus : = D0n 1/2 sin 2 (90°-γ) + (Tpswt - Bt) ∆Hn = = = = = = =

∆H P0-P1 ∆H P1-P2 ∆H P2-P3 ∆H P3-P4 ∆H P4-P5 ∆H P5-P6 ∆H P6-P7

52 49 50 53 50 40 51

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

sin 2 sin2 sin 2 sin 2 sin 2 sin 2 sin 2

( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

+ + + + + + +

( ( ( ( ( ( (

1.300 1.270 1.450 1.450 1.240 1.310 1.360

Perhitungan koreksi beda tinggi patok utama Rumus : Σ∆Hn = δ∆H n -2.2610 = 12 = -0.1884156 Perhitungan koordinat horizontal patok utama (Xn) Rumus : Xn = Xn-1 + Dxn-1 δDxn-1 X0 X1 X2 X3 X4 X5

= = = = = =

150 150 147.7526 106.6856 90.1206464 85.9277327

+ + + + +

-0.2717 -39.2053 -14.6653 -2.1792 32.5836

-

1.9757 1.8617 1.8997 2.0137 1.8997

= = = = =

147.7526 106.6856 90.1206 85.9277 116.6117

X6 = X0 =

116.611689 151.937677

+ +

36.8457 0.0000

-

1.5197 1.9377

= =

151.9377 150.0000 Controling cabin Congratulation^_^

Perhitungan koordinat horizontal patok utama (yn) Rumus Yn = Yn-1 + Dyn-1 δDyn-1 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y0

= = = = = = = =

200 200 149.3994 121.3246 170.4704 224.8512 264.1211 249.6282

+ + + + + + +

-51.9993 -29.3929 47.8009 52.9552 37.9250 -15.5689 -51.0000

-

-1.3987 -1.3180 -1.3449 -1.4256 -1.3449 -1.0759 -1.3718

= = = = = = =

149.3994 121.3246 170.4704 224.8512 264.1211 249.6282 200.0000 Controling cabin Congratulation^_^

Perhitungan kemiringan lereng patok utama Rumus : \Pn = D0n x 100 ∆Hn /

%

\P0-1 \P1-2 \P2-3 \P2-4 \P4-5 \P5-6 \P6-7

x x x x x x x

= = = = = = =

0.5277 0.1961 0.4417 -0.3767 0.9037 0.5013 0.0672

/ / / / / / /

Perhitungan Tinggi Titik Patok Utama Rumus :

52 49 50 53 50 40 51

100 100 100 100 100 100 100

% % % % % % %

= = = = = = =

1.014867956 0.40026827 0.883329495 -0.710821449 1.807329495 1.253329495 0.131760867

% % % % % % %

-

0.800 1.100 1.035 1.855 0.363 0.830 1.320

) ) ) ) ) ) )

= = = = = = =

(90°-γ) 0.0306 0.0306 0.0306 0.0306 0.0306 0.0306 0.0306

2 x (90°-γ) 0.061111111 0.061111111 0.061111111 0.061111111 0.061111111 0.061111111 0.061111111

sin

X6 = X0 =

116.611689 151.937677

+ +

36.8457 0.0000

-

1.5197 1.9377

= =

151.9377 150.0000 Controling cabin Congratulation^_^

Perhitungan koordinat horizontal patok utama (yn) Rumus Yn = Yn-1 + Dyn-1 δDyn-1 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y0

= = = = = = = =

200 200 149.3994 121.3246 170.4704 224.8512 264.1211 249.6282

+ + + + + + +

-51.9993 -29.3929 47.8009 52.9552 37.9250 -15.5689 -51.0000

-

-1.3987 -1.3180 -1.3449 -1.4256 -1.3449 -1.0759 -1.3718

= = = = = = =

149.3994 121.3246 170.4704 224.8512 264.1211 249.6282 200.0000 Controling cabin Congratulation^_^

Perhitungan kemiringan lereng patok utama Rumus : \Pn = D0n x 100 ∆Hn /

%

\P0-1 \P1-2 \P2-3 \P2-4 \P4-5 \P5-6 \P6-7

x x x x x x x

= = = = = = =

0.5277 0.1961 0.4417 -0.3767 0.9037 0.5013 0.0672

/ / / / / / /

52 49 50 53 50 40 51

Perhitungan Tinggi Titik Patok Utama Rumus : Pn = Pn-1 ± ∆Hn-1 P1 P2 P3 P4 P5 P6 P7

= = = = = = =

20.4000 20.4000 20.4077 20.6610 20.0958 20.8111 21.1240

+ + + + + +

P2

P3

P4

P5

P6

P7

P8

P9

=

=

=

=

=

=

=

=

% % % % % % %

= = = = = = =

1.014867956 0.40026827 0.883329495 -0.710821449 1.807329495 1.253329495 0.131760867

% % % % % % %

± δ∆H

0.1961 0.4417 -0.3767 0.9037 0.5013 0.0672

Perhitungan Luas Areal Rumus : L (Xn. Yn+1)-(Yn. Xn+1) = 2 0.0000 P0 ( . 200.000 =

P1

100 100 100 100 100 100 100

+ + + + + +

-0.1884 -0.1884 -0.1884 -0.1884 -0.1884 -0.1884

= = = = = =

20.4077 20.6610 20.0958 20.8111 21.1240 21.0028

20.5961 20.8494 20.2842 20.9995 21.3124 21.1912

)

( 2.0000

0.0000

-

150.0000

)

(

150.0000

.

149.399

)

( 2.0000

200.0000

-

149.3994

)

(

147.7526

.

121.325

)

( 2.0000

149.3994

-

106.6856

)

(

106.6856

.

170.470

)

( 2.0000

121.3246

-

90.1206

)

(

90.1206

.

224.851

)

( 2.0000

170.470

-

85.9277

)

(

85.9277

.

264.121

)

( 2.0000

224.851

-

116.6117

)

(

116.6117

.

249.628

)

( 2.0000

264.121

-

151.9377

)

(

151.9377

.

200.000

)

( 2.0000

249.628

-

150.0000

)

(

150.0000

.

#REF!

)

( 2.0000

200.000

-

#REF!

)

(

#REF!

#REF!

)

#REF!

-

#REF!

)

-

(

=

0.0000

m²

=

-3734.9862

m²

=

993.6263

m²

=

3626.4451

m²

=

2 80 7.7 99 6

m²

=

- 1762 .4 750

m²

=

-5510.1947

m²

=

-3528.3444

m²

=

#REF!

m²

Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y0 Y1

= = = = = = = = = = = = =

200 149.3994 121.3246 170.4704 224.8512 264.1211 249.6282 200.0000 #REF! #REF! #REF! 0.0000 0.0000

X0 X1 X2 X3 X4 X5 X6 X0 ### ### ### 0 0

= = = = = = = = ### ### ### 0 0

Perhitungan Luas Areal Rumus : L (Xn. Yn+1)-(Yn. Xn+1) = 2 0.0000 P0 ( . 200.000 =

P1

P2

P3

P4

P5

P6

P7

P8

P9

P10

P11

=

=

=

=

=

=

=

=

=

=

=

)

( 2.0000

0.0000

-

150.0000

)

(

150.0000

.

149.399

)

( 2.0000

200.0000

-

149.3994

)

(

147.7526

.

121.325

)

( 2.0000

149.3994

-

106.6856

)

(

106.6856

.

170.470

)

( 2.0000

121.3246

-

90.1206

)

(

90.1206

.

224.851

)

( 2.0000

170.470

-

85.9277

)

(

85.9277

.

264.121

)

( 2.0000

224.851

-

116.6117

)

(

116.6117

.

249.628

)

( 2.0000

264.121

-

151.9377

)

(

151.9377

.

200.000

)

( 2.0000

249.628

-

150.0000

)

(

150.0000

.

#REF!

)

( 2.0000

200.000

-

#REF!

)

(

#REF!

.

#REF!

)

( 2.0000

#REF!

-

#REF!

)

(

#REF!

.

#REF!

)

( 2.0000

#REF!

-

#REF!

)

(

#REF!

.

0.000

)

( 2.0000

#REF!

-

0.0000

)

=

0.0000

m²

=

-3734.9862

m²

=

993.6263

m²

=

3626.4451

m²

=

2 80 7.7 99 6

m²

=

- 1762 .4 750

m²

=

-5510.1947

m²

=

-3528.3444

m²

=

#REF!

m²

=

#REF!

m²

=

#REF!

m²

=

#REF!

m²

= =

#REF! #REF!

m² Ha

Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y0 Y1

= = = = = = = = = = = = =

200 149.3994 121.3246 170.4704 224.8512 264.1211 249.6282 200.0000 #REF! #REF! #REF! 0.0000 0.0000

X0 X1 X2 X3 X4 X5 X6 X0 ### ### ### 0 0

= = = = = = = = ### ### ### 0 0

PROFIL MELINTANG Perhitungan Azimut Benar Titik Detail ( αn det) Rumus

α0

->

: αn det

=

αn +

βndet

± 180/540

a

=

#REF!

+

28.7514

-

#REF!

=

#REF!

Beta

b c d e f g

= = = = = =

#REF! #REF! #REF! #REF! #REF! #REF!

+ + + + + +

28.7514 208.7514 208.7514 147.3653 184.6278 233.6833

-


= = = = = =


Beta Beta Beta Beta Beta Beta

α1

->

a b c d e f g

= = = = = = =

180.2994 180.2994 180.2994 180.2994 180.2994 180.2994 180.2994

+ + + + + + +

90.1472 90.1486 270.1486 270.1486 326.1111 351.2194 334.3986

-

180 180 180 180 180 180 180

= = = = = = =

90.4466 90.4480 270.4480 270.4480 326.4105 351.5188 334.6980

Beta Beta Beta Beta Beta Beta Beta

α2

->

a b c d e f g

= = = = = = =

233.1405 233.1405 233.1405 233.1405 233.1405 233.1405 233.1405

+ + + + + + +

66.5264 66.5264 246.5264 246.5264 233.8458 275.2986 283.8111

-

180 180 180 180 180 180 180

= = = = = = =

119.6669 119.6669 299.6669 299.6669 286.9863 328.4391 336.9516


α3

->

a b c d e f g

= = = = = = =

342.9440 342.9440 342.9440 342.9440 342.9440 342.9440 342.9440

+ + + + + + +

87.3250 87.4361 267.4361 267.4361 308.4403 324.3778 259.3139

-

180 180 540 540 540 540 540

= = = = = = =

250.2690 250.3802 70.3802 70.3802 111.3843 127.3218 62.2579


α4

->

a b c

= = =

357.6435 357.6435 357 6435

+ + +

115.9597 115.9597 295 9542

-

180 180 540

= = =

293.6032 293.6032 113 5976

Beta Beta Beta

b c d e f g

= = = = = =


+ + + + + +

28.7514 208.7514 208.7514 147.3653 184.6278 233.6833

-


= = = = = =



α1

->

a b c d e f g

= = = = = = =

180.2994 180.2994 180.2994 180.2994 180.2994 180.2994 180.2994

+ + + + + + +

90.1472 90.1486 270.1486 270.1486 326.1111 351.2194 334.3986

-

180 180 180 180 180 180 180

= = = = = = =

90.4466 90.4480 270.4480 270.4480 326.4105 351.5188 334.6980


α2

->

a b c d e f g

= = = = = = =

233.1405 233.1405 233.1405 233.1405 233.1405 233.1405 233.1405

+ + + + + + +

66.5264 66.5264 246.5264 246.5264 233.8458 275.2986 283.8111

-

180 180 180 180 180 180 180

= = = = = = =

119.6669 119.6669 299.6669 299.6669 286.9863 328.4391 336.9516


α3

->

a b c d e f g

= = = = = = =

342.9440 342.9440 342.9440 342.9440 342.9440 342.9440 342.9440

+ + + + + + +

87.3250 87.4361 267.4361 267.4361 308.4403 324.3778 259.3139

-

180 180 540 540 540 540 540

= = = = = = =

250.2690 250.3802 70.3802 70.3802 111.3843 127.3218 62.2579


α4

->

a b c d e f g

= = = = = = =

357.6435 357.6435 357.6435 357.6435 357.6435 357.6435 357.6435

+ + + + + + +

115.9597 115.9597 295.9542 295.9542 350.1208 335.1861 307.3792

-

180 180 540 540 540 540 540

= = = = = = =

293.6032 293.6032 113.5976 113.5976 167.7643 152.8296 125.0226


α5

->

a b c d e f g

= = = = = = =

400.6679 400.6679 400.6679 400.6679 400.6679 400.6679 400.6679

+ + + + + + +

45.1889 45.1889 225.1889 225.1889 195.8139 235.8264 291.9972

-

180 180 540 540 540 540 540

= = = = = = =

265.8567 265.8567 85.8567 85.8567 56.4817 96.4942 152.6651


α6

->

a b c

= = =

472.9062 472.9062 472.9062

+ + +

127.0000 127.0000 307.0000

-

540 540 540

= = =

59.9062 59.9062 239.9062

Beta Beta Beta

d e f g

= = = =

472.9062 472.9062 472.9062 472.9062

+ + + +

307.0000 223.0000 247.4958 265.0347

-

540 540 540 540

= = = =

239.9062 155.9062 180.4020 197.9409

Beta Beta Beta Beta

α7

->

a b c d e f g

= = = = = = =

540.0000 540.0000 540.0000 540.0000 540.0000 540.0000 540.0000

+ + + + + + +

15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069

-

540 540 540 540 540 540 540

= = = = = = =

15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069


α8

->

a b c d e f g

= = = = = = =

#REF! #REF! #REF! #REF! #REF! #REF! #REF!

+ + + + + + +

143.0000 143.0000 323.0000 323.0000 284.8458 305.8542 325.5250

-


= = = = = = =



α9

->

a b c d e f g

= = = = = = =


+ + + + + + +

153.0000 153.0000 333.0000 333.0000 315.5903 297.7403 277.6694

-


= = = = = = =



α10 ->

a b c d e

= = = = =

#REF! #REF! #REF! #REF! #REF!

+ + + + +

90.0000 90.0000 270.0000 270.0000 286 9042

-


= = = = =


Beta Beta Beta Beta Beta

d e f g

= = = =

472.9062 472.9062 472.9062 472.9062

+ + + +

307.0000 223.0000 247.4958 265.0347

-

540 540 540 540

= = = =

239.9062 155.9062 180.4020 197.9409

Beta Beta Beta Beta

α7

->

a b c d e f g

= = = = = = =

540.0000 540.0000 540.0000 540.0000 540.0000 540.0000 540.0000

+ + + + + + +

15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069

-

540 540 540 540 540 540 540

= = = = = = =

15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069


α8

->

a b c d e f g

= = = = = = =


+ + + + + + +

143.0000 143.0000 323.0000 323.0000 284.8458 305.8542 325.5250

-


= = = = = = =



α9

->

a b c d e f g

= = = = = = =


+ + + + + + +

153.0000 153.0000 333.0000 333.0000 315.5903 297.7403 277.6694

-


= = = = = = =



α10 ->

a b c d e f g

= = = = = = =


+ + + + + + +

90.0000 90.0000 270.0000 270.0000 286.9042 320.9903 339.6083

-


= = = = = = =



α11 ->

a b c d e f g

= = = = = = =


+ + + + + + +

45.0000 45.0000 225.0000 225.0000 248.1556 276.2375 326.6542

-


= = = = = = =



Perhitungan Jarak Optis Titik Detail Rumus : D0 det = (Ba-Bb) x 100 α0

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.6100 0.4950 1.0600 0.9650 0.7050 0.6050 0.6100

-

0.5700 0.3960 1.0150 0.8600 0.6100 0.5000 0.5100

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

α1

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9600 0.7800 1.1500 0.9600 1.3300 1.3100 0.8700

-

0.9100 0.6800 1.0900 0.8650 1.2350 1.2150 0.7300

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

α2

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9350 1.0400 1.3100 1.2420 1.0300 1.0400 1.7150

-

0.8700 1.0100 1.2800 1.1880 0.9700 0.9850 1.6350

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

α3

->

a b

= =

( (

1.1650 1 1900

-

1.1350 1 1400

) )

x x

100 100

= =

3.00 5 00

Perhitungan Jarak Optis Titik Detail Rumus : D0 det = (Ba-Bb) x 100 α0

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.6100 0.4950 1.0600 0.9650 0.7050 0.6050 0.6100

-

0.5700 0.3960 1.0150 0.8600 0.6100 0.5000 0.5100

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

α1

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9600 0.7800 1.1500 0.9600 1.3300 1.3100 0.8700

-

0.9100 0.6800 1.0900 0.8650 1.2350 1.2150 0.7300

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

α2

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9350 1.0400 1.3100 1.2420 1.0300 1.0400 1.7150

-

0.8700 1.0100 1.2800 1.1880 0.9700 0.9850 1.6350

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

α3

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.1650 1.1900 1.2800 1.2650 1.2850 1.3800 1.3050

-

1.1350 1.1400 1.2350 1.1950 1.2350 1.3150 1.2450

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

3.00 5.00 4.50 7.00 5.00 6.50 6.00

α4

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.1300 1.1350 1.5350 1.7500 1.9350 2.3550 1.2700

-

1.1000 1.0800 1.5000 1.6900 1.8650 2.2800 1.2000

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

3.00 5.50 3.50 6.00 7.00 7.50 7.00

α5

->

a b

= =

( (

1.4850 1.5800

-

1.4350 1.5000

) )

x x

100 100

= =

5.00 8.00

c d e f g

= = = = =

( ( ( ( (

1.7880 1.4800 1.5050 1.6000 1.6350

-

1.7300 1.3850 1.4200 1.5150 1.5500

) x ) x ) x ) x ) x

100 100 100 100 100

= = = = =

5.80 9.50 8.50 8.50 8.50

α6

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9350 0.5100 1.0100 1.9500 0.9400 0.8350 0.6100

-

0.8900 0.4100 0.9720 1.8500 0.8600 0.7350 0.4600

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.50 10.00 3.80 10.00 8.00 10.00 15.00

α7

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.4020 1.4400 1.5500 1.7000 1.7600 1.7100 1.5700

-

1.3600 1.3650 1.5000 1.6200 1.6600 1.6600 1.5200

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

α8

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.2000 1.3800 0.8250 1.2600 1.4000 1.2700 1.2300

-

1.1650 1.3200 0.7850 1.1000 1.3500 1.2100 1.1300

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00

α9

->

a b c d

= = = =

( ( ( (

1.4300 1.5150 1.4050 1 4000

-

1.3900 1.4450 1.3750 1 3400

) x ) x ) x ) x

100 100 100 100

= = = =

4.00 7.00 3.00 6 00

c d e f g

= = = = =

( ( ( ( (

1.7880 1.4800 1.5050 1.6000 1.6350

-

1.7300 1.3850 1.4200 1.5150 1.5500

) x ) x ) x ) x ) x

100 100 100 100 100

= = = = =

5.80 9.50 8.50 8.50 8.50

α6

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9350 0.5100 1.0100 1.9500 0.9400 0.8350 0.6100

-

0.8900 0.4100 0.9720 1.8500 0.8600 0.7350 0.4600

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.50 10.00 3.80 10.00 8.00 10.00 15.00

α7

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.4020 1.4400 1.5500 1.7000 1.7600 1.7100 1.5700

-

1.3600 1.3650 1.5000 1.6200 1.6600 1.6600 1.5200

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

α8

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.2000 1.3800 0.8250 1.2600 1.4000 1.2700 1.2300

-

1.1650 1.3200 0.7850 1.1000 1.3500 1.2100 1.1300

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00

α9

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.4300 1.5150 1.4050 1.4000 1.1350 1.0400 1.2500

-

1.3900 1.4450 1.3750 1.3400 1.1250 1.0000 1.1900

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.00 7.00 3.00 6.00 1.00 4.00 6.00

α10 ->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

2.0600 1.9850 1.1100 1.0100 0.9800 1.3400 1.3400

-

2.0000 1.8800 1.0700 0.9200 0.9000 1.2600 1.3200

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

6.00 10.50 4.00 9.00 8.00 8.00 2.00

α11 ->

a b c d

= = = =

( ( ( (

1.4100 1.6000 1.1300 1.0100

-

1.3600 1.5000 1.0800 0.9100

) x ) x ) x ) x

100 100 100 100

= = = =

5.00 10.00 5.00 10.00

e f g

= = =

( ( (

0.9450 0.9050 0.9800

-

0.8500 0.8000 0.8500

) ) )

100 100 100

= = =

9.50 10.50 13.00

x

Cos²

(90° - γ)

Perhitungan Jarak proyeksi Rumus : Dpn det = D0n det

x x x

α0

->

a b c d e f g

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x

Cos² Cos² Cos² Cos² Cos² Cos² Cos²

( ( ( ( ( ( (

90 90 90 91 90 90 90

-

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

) ) ) ) ) ) )

= = = = = = =

(90° - γ) -7.7542 -7.7542 -1.0694 -0.0694 -3.2194 -3.2194 -3.2194

Cos² (90° - γ) 0.990856088 0.990856088 0.999825808 0.999999265 0.998421763 0.998421763 0.998421763

Dpn det 3.9272 9.7198 4.4984 10.5000 9.4700 10.4669 9.9685

alfa alfa alfa alfa alfa alfa alfa

α1

->

a b c d e f g

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

) ) ) ) ) ) )

= = = = = = =

-2.1028 -2.1028 -2.1028 -1.1028 0.8847 0.8847 -0.9486

0.999326616 0.999326616 0.999326616 0.99981478 0.999880785 0.999880785 0.999862946

4.9933 9.9865 5.9919 9.4965 9.4977 9.4977 13.9962


α2

->

a b c d e f g

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

) ) ) ) ) ) )

= = = = = = =

-4.1042 -3.5986 -3.5986 -2.5986 -3.5986 -3.5986 1.0819

0.997435581 0.99802825 0.99802825 0.998971669 0.99802825 0.99802825 0.999821712

6.4667 2.9882 2.9882 5.3889 5.9764 5.4783 7.9971


α3

->

a b

= =

3.00 5 00

x Cos² x Cos²

( (

90 90

-

88.6431 88 6431

) )

= =

1.3569 1 3569

0.999719567 0 999719567

2.9983 4 9972

alfa alfa

e f g

= = =

( ( (

0.9450 0.9050 0.9800

Perhitungan Jarak proyeksi Rumus : Dpn det = D0n det

-

0.8500 0.8000 0.8500

) ) )

x x x

x

Cos²

(90° - γ)

100 100 100

= = =

9.50 10.50 13.00

α0

->

a b c d e f g

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

) ) ) ) ) ) )

= = = = = = =

(90° - γ) -7.7542 -7.7542 -1.0694 -0.0694 -3.2194 -3.2194 -3.2194

Cos² (90° - γ) 0.990856088 0.990856088 0.999825808 0.999999265 0.998421763 0.998421763 0.998421763

Dpn det 3.9272 9.7198 4.4984 10.5000 9.4700 10.4669 9.9685


α1

->

a b c d e f g

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

) ) ) ) ) ) )

= = = = = = =

-2.1028 -2.1028 -2.1028 -1.1028 0.8847 0.8847 -0.9486

0.999326616 0.999326616 0.999326616 0.99981478 0.999880785 0.999880785 0.999862946

4.9933 9.9865 5.9919 9.4965 9.4977 9.4977 13.9962


α2

->

a b c d e f g

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

) ) ) ) ) ) )

= = = = = = =

-4.1042 -3.5986 -3.5986 -2.5986 -3.5986 -3.5986 1.0819

0.997435581 0.99802825 0.99802825 0.998971669 0.99802825 0.99802825 0.999821712

6.4667 2.9882 2.9882 5.3889 5.9764 5.4783 7.9971


α3

->

a b c d e f g

= = = = = = =

3.00 5.00 4.50 7.00 5.00 6.50 6.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

88.6431 88.6431 88.6431 88.6431 88.6431 88.6431 88.6431

) ) ) ) ) ) )

= = = = = = =

1.3569 1.3569 1.3569 2.3569 1.3569 1.3569 1.3569

0.999719567 0.999719567 0.999719567 0.999154016 0.999719567 0.999719567 0.999719567

2.9983 4.9972 4.4975 6.9882 4.9972 6.4964 5.9966


α4

->

a b c d e f g

= = = = = = =

3.00 5.50 3.50 6.00 7.00 7.50 7.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

90.8681 90.8681 85.0319 85.0319 84.5278 82.4181 89.0597

) ) ) ) ) ) )

= = = = = = =

-0.8681 -0.8681 4.9681 5.9681 5.4722 7.5819 0.9403

0.999885234 0.999885234 0.996243136 0.994580019 0.995442549 0.991257169 0.999865343

2.9993 5.4987 3.4738 5.9351 6.9363 7.3694 6.9981


α5

->

a b

= =

5.00 8.00

x Cos² x Cos²

( (

90 90

-

89.0986 89.0986

) )

= =

0.9014 0.9014

0.999876251 0.999876251

4.9988 7.9980

alfa alfa

c d e f g

= = = = =

5.80 9.50 8.50 8.50 8.50

x x x x x

Cos² Cos² Cos² Cos² Cos²

( ( ( ( (

90 91 90 90 90

-

89.0986 89.0986 89.0986 89.0986 89.0986

) ) ) ) )

= = = = =

0.9014 1.9014 0.9014 0.9014 0.9014

0.999876251 0.999449412 0.999876251 0.999876251 0.999876251

5.7986 9.4895 8.4979 8.4979 8.4979

alfa alfa alfa alfa alfa

α6

->

a b c d e f g

= = = = = = =

4.50 10.00 3.80 10.00 8.00 10.00 15.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000 94.0986

) ) ) ) ) ) )

= = = = = = =

-2.3014 -2.3014 -7.0472 -3.0986 -4.1000 -4.1000 -4.0986

0.999193422 0.999193422 0.992445372 0.998537981 0.997440783 0.997440783 0.997442516

4.4927 9.9839 3.7428 9.9708 7.9591 9.9489 14.9234


α7

->

a b c d e f g

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

) ) ) ) ) ) )

= = = = = = =

1.0222 2.0222 2.0222 3.0222 2.0236 2.0236 2.0194

0.999840851 0.999377216 0.999377216 0.998609161 0.99937636 0.99937636 0.999378926

4.1987 7.4907 4.9938 7.9778 9.9875 4.9938 4.9938


α8

->

α9

->

a b c d e f g a b c d e

= = = = = = = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00 4.00 7.00 3.00 6.00 1 00

x x x x x x x x x x x x

Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos²

( ( ( ( ( ( ( ( ( ( ( (

90 90 90 91 90 90 90 90 90 90 91 90

-

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 88.6694 88.6694 88.6694 88.6694 88 6694

) ) ) ) ) ) ) ) ) ) ) )

= = = = = = = = = = = =

0.0097 0.0097 0.0097 1.0097 0.0097 0.0097 0.0097 1.3306 1.3306 1.3306 2.3306 1 3306

0.999999986 0.999999986 0.999999986 0.999844719 0.999999986 0.999999986 0.999999986 0.999730368 0.999730368 0.999730368 0.999172851 0 999730368

3.5000 6.0000 4.0000 15.9950 5.0000 6.0000 10.0000 3.9978 6.9962 2.9984 5.9901 0 9995

alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa

c d e f g

= = = = =

5.80 9.50 8.50 8.50 8.50

x x x x x

Cos² Cos² Cos² Cos² Cos²

( ( ( ( (

90 91 90 90 90

-

89.0986 89.0986 89.0986 89.0986 89.0986

) ) ) ) )

= = = = =

0.9014 1.9014 0.9014 0.9014 0.9014

0.999876251 0.999449412 0.999876251 0.999876251 0.999876251

5.7986 9.4895 8.4979 8.4979 8.4979

alfa alfa alfa alfa alfa

α6

->

a b c d e f g

= = = = = = =

4.50 10.00 3.80 10.00 8.00 10.00 15.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000 94.0986

) ) ) ) ) ) )

= = = = = = =

-2.3014 -2.3014 -7.0472 -3.0986 -4.1000 -4.1000 -4.0986

0.999193422 0.999193422 0.992445372 0.998537981 0.997440783 0.997440783 0.997442516

4.4927 9.9839 3.7428 9.9708 7.9591 9.9489 14.9234


α7

->

a b c d e f g

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

) ) ) ) ) ) )

= = = = = = =

1.0222 2.0222 2.0222 3.0222 2.0236 2.0236 2.0194

0.999840851 0.999377216 0.999377216 0.998609161 0.99937636 0.99937636 0.999378926

4.1987 7.4907 4.9938 7.9778 9.9875 4.9938 4.9938


α8

->

α9

->

a b c d e f g a b c d e f g a b c d e f g a b c d e f g

= = = = = = = = = = = = = = = = = = = = = = = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00 4.00 7.00 3.00 6.00 1.00 4.00 6.00 6.00 10.50 4.00 9.00 8.00 8.00 2.00 5.00 10.00 5.00 10.00 9.50 10.50 13.00

x x x x x x x x x x x x x x x x x x x x x x x x x x x x

Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos²

( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( (

90 90 90 91 90 90 90 90 90 90 91 90 90 90 90 90 90 91 90 90 90 90 90 90 91 90 90 90

-

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653

) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )

= = = = = = = = = = = = = = = = = = = = = = = = = = = =

0.0097 0.0097 0.0097 1.0097 0.0097 0.0097 0.0097 1.3306 1.3306 1.3306 2.3306 1.3306 1.3306 1.3306 -1.1014 -1.1014 -1.1014 -0.1014 -1.1014 -1.1014 -1.1014 -0.9653 -0.9653 -0.9653 0.0347 -0.9653 -0.9653 -0.9653

0.999999986 0.999999986 0.999999986 0.999844719 0.999999986 0.999999986 0.999999986 0.999730368 0.999730368 0.999730368 0.999172851 0.999730368 0.999730368 0.999730368 0.999815246 0.999815246 0.999815246 0.999998434 0.999815246 0.999815246 0.999815246 0.999858088 0.999858088 0.999858088 0.999999816 0.999858088 0.999858088 0.999858088

3.5000 6.0000 4.0000 15.9950 5.0000 6.0000 10.0000 3.9978 6.9962 2.9984 5.9901 0.9995 3.9978 5.9968 5.9978 10.4961 3.9985 9.0000 7.9970 7.9970 1.9993 4.9986 9.9972 4.9986 10.0000 9.4973 10.4970 12.9963

alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa

α10 ->

α11 ->

Perhitungan jarak horizontal detail Rumus : DXn det= DPn det

x

sin αn det

D0

->

a b c d e f g

= = = = = = =

3.9272 9.7198 4.4984 10.5 9.47 10.467 9.9685

x x x x x x x

sin sin sin sin sin sin sin


= = = = = = =


D1

->

a b c d e f g

= = = = = = =

4.9933 9.9865 5.9919 9.4965 9.4977 9.4977 13.996

x x x x x x x


90.4466 90.4480 270.4480 270.4480 326.4105 351.5188 334.6980

= = = = = = =

4.9931 9.9862 -5.9917 -9.4962 -5.2545 -1.4008 -5.9818

D2

->

a b c d e f g

= = = = = = =

6.4667 2.9882 2.9882 5.3889 5.9764 5.4783 7.9971

x x x x x x x


119.6669 119.6669 299.6669 299.6669 286.9863 328.4391 336.9516

= = = = = = =

5.6190 2.5965 -2.5965 -4.6825 -5.7156 -2.8674 -3.1310

D3

->

a b c d

= = = =

2.9983 4.9972 4.4975 6 9882

x x x x

sin sin sin sin

250.2690 250.3802 70.3802 70 3802

= = = =

-2.8223 -4.7071 4.2364 6 5824


x

sin αn det

D0

->

a b c d e f g

= = = = = = =

3.9272 9.7198 4.4984 10.5 9.47 10.467 9.9685

x x x x x x x



= = = = = = =


D1

->

a b c d e f g

= = = = = = =

4.9933 9.9865 5.9919 9.4965 9.4977 9.4977 13.996

x x x x x x x


90.4466 90.4480 270.4480 270.4480 326.4105 351.5188 334.6980

= = = = = = =

4.9931 9.9862 -5.9917 -9.4962 -5.2545 -1.4008 -5.9818

D2

->

a b c d e f g

= = = = = = =

6.4667 2.9882 2.9882 5.3889 5.9764 5.4783 7.9971

x x x x x x x


119.6669 119.6669 299.6669 299.6669 286.9863 328.4391 336.9516

= = = = = = =

5.6190 2.5965 -2.5965 -4.6825 -5.7156 -2.8674 -3.1310

D3

->

a b c d e f g

= = = = = = =

2.9983 4.9972 4.4975 6.9882 4.9972 6.4964 5.9966

x x x x x x x


250.2690 250.3802 70.3802 70.3802 111.3843 127.3218 62.2579

= = = = = = =

-2.8223 -4.7071 4.2364 6.5824 4.6532 5.1662 5.3073

D4

->

a b c d e f g

= = = = = = =

2.9993 5.4987 3.4738 5.9351 6.9363 7.3694 6.9981

x x x x x x x


293.6032 293.6032 113.5976 113.5976 167.7643 152.8296 125.0226

= = = = = = =

-2.7484 -5.0387 3.1833 5.4388 1.4700 3.3652 5.7309

D5

->

a b c d

= = = =

4.9988 7.998 5.7986 9.4895

x x x x

sin sin sin sin

265.8567 265.8567 85.8567 85.8567

= = = =

-4.9857 -7.9771 5.7834 9.4647

e f g

= = =

8.4979 x 8.4979 x 8.4979 x

sin sin sin

56.4817 96.4942 152.6651

= = =

7.0848 8.4434 3.9022

D6

->

a b c d e f g

= = = = = = =

4.4927 9.9839 3.7428 9.9708 7.9591 9.9489 14.923

x x x x x x x


59.9062 59.9062 239.9062 239.9062 155.9062 180.4020 197.9409

= = = = = = =

3.8871 8.6381 -3.2383 -8.6268 3.2492 -0.0698 -4.5969

D7

->

a b c d e f g

= = = = = = =

4.1987 7.4907 4.9938 7.9778 9.9875 4.9938 4.9938

x x x x x x x


15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069

= = = = = = =

1.0867 1.9387 -1.2925 -2.0648 -3.9365 -3.1991 -4.8192

D8

->

a b c d e f g

= = = = = = =

3.5000 6.000 4.000 15.995 5.000 6.000 10.000

x x x x x x x



= = = = = = =


D9

->

a b c d e f

= = = = = =

3.9978 6.9962 2.9984 5.9901 0.9995 3 9978

x x x x x x

sin sin sin sin sin sin


= = = = = =


e f g

= = =

8.4979 x 8.4979 x 8.4979 x

sin sin sin

56.4817 96.4942 152.6651

= = =

7.0848 8.4434 3.9022

D6

->

a b c d e f g

= = = = = = =

4.4927 9.9839 3.7428 9.9708 7.9591 9.9489 14.923

x x x x x x x


59.9062 59.9062 239.9062 239.9062 155.9062 180.4020 197.9409

= = = = = = =

3.8871 8.6381 -3.2383 -8.6268 3.2492 -0.0698 -4.5969

D7

->

a b c d e f g

= = = = = = =

4.1987 7.4907 4.9938 7.9778 9.9875 4.9938 4.9938

x x x x x x x


15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069

= = = = = = =

1.0867 1.9387 -1.2925 -2.0648 -3.9365 -3.1991 -4.8192

D8

->

a b c d e f g

= = = = = = =

3.5000 6.000 4.000 15.995 5.000 6.000 10.000

x x x x x x x



= = = = = = =


D9

->

a b c d e f g

= = = = = = =

3.9978 6.9962 2.9984 5.9901 0.9995 3.9978 5.9968

x x x x x x x



= = = = = = =


D10 ->

a b c d e f g

= = = = = = =

5.9978 10.496 3.9985 9 7.997 7.997 1.9993

x x x x x x x



= = = = = = =


D11 ->

a b c d e f

= = = = = =

4.9986 9.9972 4.9986 10.000 9.4973 10.497

x x x x x x



= = = = = =


g

=

12.996 x

sin

#REF!

=

#REF!

Perhitungan jarak vertikal detail Rumus : DYn det= DPn det

x

cos αn det

D0

->

a b c d e f g

= = = = = = =

3.9272 9.7198 4.4984 10.5 9.47 10.467 9.9685

x x x x x x x

cos cos cos cos cos cos cos


= = = = = = =


D1

->

a b c d e f g

= = = = = = =

4.9933 9.9865 5.9919 9.4965 9.4977 9.4977 13.996

x x x x x x x


90.4466 90.4480 270.4480 270.4480 326.4105 351.5188 334.6980

= = = = = = =

-0.0389 -0.0781 0.0469 0.0743 7.9118 9.3939 12.6535

D2

->

a b c d e f g

= = = = = = =

6.4667 2.9882 2.9882 5.3889 5.9764 5.4783 7.9971

x x x x x x x


119.6669 119.6669 299.6669 299.6669 286.9863 328.4391 336.9516

= = = = = = =

-3.2007 -1.4790 1.4790 2.6673 1.7460 4.6680 7.3588

D3

->

a b c

= = =

2.9983 x 4.9972 x 4 4975 x

cos cos cos

250.2690 250.3802 70 3802

= = =

-1.0122 -1.6779 1 5102

g

=

12.996 x

sin


#REF!

x

=

#REF!

cos αn det

D0

->

a b c d e f g

= = = = = = =

3.9272 9.7198 4.4984 10.5 9.47 10.467 9.9685

x x x x x x x



= = = = = = =


D1

->

a b c d e f g

= = = = = = =

4.9933 9.9865 5.9919 9.4965 9.4977 9.4977 13.996

x x x x x x x


90.4466 90.4480 270.4480 270.4480 326.4105 351.5188 334.6980

= = = = = = =

-0.0389 -0.0781 0.0469 0.0743 7.9118 9.3939 12.6535

D2

->

a b c d e f g

= = = = = = =

6.4667 2.9882 2.9882 5.3889 5.9764 5.4783 7.9971

x x x x x x x


119.6669 119.6669 299.6669 299.6669 286.9863 328.4391 336.9516

= = = = = = =

-3.2007 -1.4790 1.4790 2.6673 1.7460 4.6680 7.3588

D3

->

a b c d e f g

= = = = = = =

2.9983 4.9972 4.4975 6.9882 4.9972 6.4964 5.9966

x x x x x x x


250.2690 250.3802 70.3802 70.3802 111.3843 127.3218 62.2579

= = = = = = =

-1.0122 -1.6779 1.5102 2.3465 -1.8221 -3.9387 2.7914

D4

->

a b c d e f g

= = = = = = =

2.9993 5.4987 3.4738 5.9351 6.9363 7.3694 6.9981

x x x x x x x


293.6032 293.6032 113.5976 113.5976 167.7643 152.8296 125.0226

= = = = = = =

1.2009 2.2017 -1.3906 -2.3759 -6.7788 -6.5562 -4.0162

D5

->

a b c

= = =

4.9988 x 7.998 x 5.7986 x

cos cos cos

265.8567 265.8567 85.8567

= = =

-0.3612 -0.5779 0.4189

d e f g

= = = =

9.4895 8.4979 8.4979 8.4979

x x x x

cos cos cos cos

85.8567 56.4817 96.4942 152.6651

= = = =

0.6856 4.6926 -0.9611 -7.5490

D6

->

a b c d e f g

= = = = = = =

4.4927 9.9839 3.7428 9.9708 7.9591 9.9489 14.923

x x x x x x x


59.9062 59.9062 239.9062 239.9062 155.9062 180.4020 197.9409

= = = = = = =

2.2527 5.0061 -1.8767 -4.9995 -7.2657 -9.9486 -14.1977

D7

->

a b c d e f g

= = = = = = =

4.1987 7.4907 4.9938 7.9778 9.9875 4.9938 4.9938

x x x x x x x


15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069

= = = = = = =

4.0556 7.2354 -4.8236 -7.7059 -9.1790 -3.8345 -1.3087

D8

->

a b c d e f g

= = = = = = =

3.5 6 4 15.995 5 6 10

x x x x x x x



= = = = = = =


D9

->

a b c d e

= = = = =

3.9978 6.9962 2.9984 5.9901 0 9995

x x x x x

cos cos cos cos cos


= = = = =


d e f g

= = = =

9.4895 8.4979 8.4979 8.4979

x x x x

cos cos cos cos

85.8567 56.4817 96.4942 152.6651

= = = =

0.6856 4.6926 -0.9611 -7.5490

D6

->

a b c d e f g

= = = = = = =

4.4927 9.9839 3.7428 9.9708 7.9591 9.9489 14.923

x x x x x x x


59.9062 59.9062 239.9062 239.9062 155.9062 180.4020 197.9409

= = = = = = =

2.2527 5.0061 -1.8767 -4.9995 -7.2657 -9.9486 -14.1977

D7

->

a b c d e f g

= = = = = = =

4.1987 7.4907 4.9938 7.9778 9.9875 4.9938 4.9938

x x x x x x x


15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069

= = = = = = =

4.0556 7.2354 -4.8236 -7.7059 -9.1790 -3.8345 -1.3087

D8

->

a b c d e f g

= = = = = = =

3.5 6 4 15.995 5 6 10

x x x x x x x



= = = = = = =


D9

->

a b c d e f g

= = = = = = =

3.9978 6.9962 2.9984 5.9901 0.9995 3.9978 5.9968

x x x x x x x



= = = = = = =


D10 ->

a b c d e f g

= = = = = = =

5.9978 10.496 3.9985 9 7.997 7.997 1.9993

x x x x x x x



= = = = = = =


D11 ->

a b c d e

= = = = =

4.9986 9.9972 4.9986 10 9.4973

x x x x x

cos cos cos cos cos


= = = = =


f g

= =

10.497 x 12.996 x

cos cos

#REF! #REF!

= =

#REF! #REF!

Perhitungan koordinat horizontal detail Rumus : Xn det = Xn ± DXn det X0

->

a b c d e f g

= = = = = = =

0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

+ + + + + + +


= = = = = = =


X1

->

a b c d e f g

= = = = = = =

150.0000 150.0000 150.0000 150.0000 150.0000 150.0000 150.0000

+ + + + + + +

4.9931 9.9862 -5.9917 -9.4962 -5.2545 -1.4008 -5.9818

= = = = = = =

154.9931 159.9862 144.0083 140.5038 144.7455 148.5992 144.0182

X2

->

a b c d e f g

= = = = = = =

147.7526 147.7526 147.7526 147.7526 147.7526 147.7526 147.7526

+ + + + + + +

5.6190 2.5965 -2.5965 -4.6825 -5.7156 -2.8674 -3.1310

= = = = = = =

153.3716 150.3491 145.1561 143.0701 142.0370 144.8852 144.6216

X3

->

a = b = c =

106.6856 106.6856 106 6856

+ + +

-2.8223 -4.7071 4 2364

= = =

103.8633 101.9785 110 9220

f g

= =

10.497 x 12.996 x

cos cos

#REF! #REF!

= =

#REF! #REF!

Perhitungan koordinat horizontal detail Rumus : Xn det = Xn ± DXn det X0

->

a b c d e f g

= = = = = = =

0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

+ + + + + + +


= = = = = = =


X1

->

a b c d e f g

= = = = = = =

150.0000 150.0000 150.0000 150.0000 150.0000 150.0000 150.0000

+ + + + + + +

4.9931 9.9862 -5.9917 -9.4962 -5.2545 -1.4008 -5.9818

= = = = = = =

154.9931 159.9862 144.0083 140.5038 144.7455 148.5992 144.0182

X2

->

a b c d e f g

= = = = = = =

147.7526 147.7526 147.7526 147.7526 147.7526 147.7526 147.7526

+ + + + + + +

5.6190 2.5965 -2.5965 -4.6825 -5.7156 -2.8674 -3.1310

= = = = = = =

153.3716 150.3491 145.1561 143.0701 142.0370 144.8852 144.6216

X3

->

a b c d e f g

= = = = = = =

106.6856 106.6856 106.6856 106.6856 106.6856 106.6856 106.6856

+ + + + + + +

-2.8223 -4.7071 4.2364 6.5824 4.6532 5.1662 5.3073

= = = = = = =

103.8633 101.9785 110.9220 113.2680 111.3388 111.8518 111.9929

X4

->

a b c d e f g

= = = = = = =

90.1206 90.1206 90.1206 90.1206 90.1206 90.1206 90.1206

+ + + + + + +

-2.7484 -5.0387 3.1833 5.4388 1.4700 3.3652 5.7309

= = = = = = =

87.3723 85.0819 93.3039 95.5595 91.5907 93.4858 95.8516

X5

->

a = b = c =

85.9277 85.9277 85.9277

+ + +

-4.9857 -7.9771 5.7834

= = =

80.9420 77.9506 91.7111

d e f g

= = = =

85.9277 85.9277 85.9277 85.9277

+ + + +

9.4647 7.0848 8.4434 3.9022

= = = =

95.3925 93.0125 94.3711 89.8299

X6

->

a b c d e f g

= = = = = = =

116.6117 116.6117 116.6117 116.6117 116.6117 116.6117 116.6117

+ + + + + + +

3.8871 8.6381 -3.2383 -8.6268 3.2492 -0.0698 -4.5969

= = = = = = =

120.4988 125.2498 113.3734 107.9849 119.8609 116.5419 112.0148

X7

->

a b c d e f g

= = = = = = =

151.9377 151.9377 151.9377 151.9377 151.9377 151.9377 151.9377

+ + + + + + +

1.0867 1.9387 -1.2925 -2.0648 -3.9365 -3.1991 -4.8192

= = = = = = =

153.0244 153.8764 150.6452 149.8729 148.0012 148.7386 147.1184

X8

->

a b c d e f g

= = = = = = =

150.0000 150.0000 150.0000 150.0000 150.0000 150.0000 150.0000

+ + + + + + +


= = = = = = =


X9

->

a b c d e

= = = = =


+ + + + +


= = = = =


d e f g

= = = =

85.9277 85.9277 85.9277 85.9277

+ + + +

9.4647 7.0848 8.4434 3.9022

= = = =

95.3925 93.0125 94.3711 89.8299

X6

->

a b c d e f g

= = = = = = =

116.6117 116.6117 116.6117 116.6117 116.6117 116.6117 116.6117

+ + + + + + +

3.8871 8.6381 -3.2383 -8.6268 3.2492 -0.0698 -4.5969

= = = = = = =

120.4988 125.2498 113.3734 107.9849 119.8609 116.5419 112.0148

X7

->

a b c d e f g

= = = = = = =

151.9377 151.9377 151.9377 151.9377 151.9377 151.9377 151.9377

+ + + + + + +

1.0867 1.9387 -1.2925 -2.0648 -3.9365 -3.1991 -4.8192

= = = = = = =

153.0244 153.8764 150.6452 149.8729 148.0012 148.7386 147.1184

X8

->

a b c d e f g

= = = = = = =

150.0000 150.0000 150.0000 150.0000 150.0000 150.0000 150.0000

+ + + + + + +


= = = = = = =


X9

->

a b c d e f g

= = = = = = =


+ + + + + + +


= = = = = = =


X10 ->

a b c d e f g

= = = = = = =


+ + + + + + +


= = = = = = =


X11 ->

a b c d e

= = = = =


+ + + + +


= = = = =


f = g =

#REF! #REF!

+ +

#REF! #REF!

= =

#REF! #REF!

Perhitungan koordinat vertikal detail Rumus : Yn det = Yn ± DYn det Y0

->

a b c d e f g

= = = = = = =

0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

+ + + + + + +


= = = = = = =


Y1

->

a b c d e f g

= = = = = = =

200.0000 200.0000 200.0000 200.0000 200.0000 200.0000 200.0000

+ + + + + + +

-0.0389 -0.0781 0.0469 0.0743 7.9118 9.3939 12.6535

= = = = = = =

199.9611 199.9219 200.0469 200.0743 207.9118 209.3939 212.6535

Y2

->

a b c d e f g

= = = = = = =

149.3994 149.3994 149.3994 149.3994 149.3994 149.3994 149.3994

+ + + + + + +

-3.2007 -1.4790 1.4790 2.6673 1.7460 4.6680 7.3588

= = = = = = =

146.1987 147.9204 150.8785 152.0667 151.1454 154.0674 156.7582

Y3

->

a = b =

121.3246 121 3246

+ +

-1.0122 -1 6779

= =

120.3123 119 6466

f = g =

#REF! #REF!

+ +

#REF! #REF!

= =

#REF! #REF!

Perhitungan koordinat vertikal detail Rumus : Yn det = Yn ± DYn det Y0

->

a b c d e f g

= = = = = = =

0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

+ + + + + + +


= = = = = = =


Y1

->

a b c d e f g

= = = = = = =

200.0000 200.0000 200.0000 200.0000 200.0000 200.0000 200.0000

+ + + + + + +

-0.0389 -0.0781 0.0469 0.0743 7.9118 9.3939 12.6535

= = = = = = =

199.9611 199.9219 200.0469 200.0743 207.9118 209.3939 212.6535

Y2

->

a b c d e f g

= = = = = = =

149.3994 149.3994 149.3994 149.3994 149.3994 149.3994 149.3994

+ + + + + + +

-3.2007 -1.4790 1.4790 2.6673 1.7460 4.6680 7.3588

= = = = = = =

146.1987 147.9204 150.8785 152.0667 151.1454 154.0674 156.7582

Y3

->

a b c d e f g

= = = = = = =

121.3246 121.3246 121.3246 121.3246 121.3246 121.3246 121.3246

+ + + + + + +

-1.0122 -1.6779 1.5102 2.3465 -1.8221 -3.9387 2.7914

= = = = = = =

120.3123 119.6466 122.8347 123.6710 119.5025 117.3859 124.1160

Y4

->

a b c d e f g

= = = = = = =

170.4704 170.4704 170.4704 170.4704 170.4704 170.4704 170.4704

+ + + + + + +

1.2009 2.2017 -1.3906 -2.3759 -6.7788 -6.5562 -4.0162

= = = = = = =

171.6714 172.6721 169.0798 168.0945 163.6917 163.9142 166.4542

Y5

->

a = b =

224.8512 224.8512

+ +

-0.3612 -0.5779

= =

224.4901 224.2734

c d e f g

= = = = =

224.8512 224.8512 224.8512 224.8512 224.8512

+ + + + +

0.4189 0.6856 4.6926 -0.9611 -7.5490

= = = = =

225.2702 225.5368 229.5438 223.8901 217.3022

Y6

->

a b c d e f g

= = = = = = =

264.1211 264.1211 264.1211 264.1211 264.1211 264.1211 264.1211

+ + + + + + +

2.2527 5.0061 -1.8767 -4.9995 -7.2657 -9.9486 -14.1977

= = = = = = =

266.3739 269.1272 262.2444 259.1216 256.8554 254.1725 249.9234

Y7

->

a b c d e f g

= = = = = = =

249.6282 249.6282 249.6282 249.6282 249.6282 249.6282 249.6282

+ + + + + + +

4.0556 7.2354 -4.8236 -7.7059 -9.1790 -3.8345 -1.3087

= = = = = = =

253.6838 256.8636 244.8045 241.9222 240.4491 245.7936 248.3194

Y8

->

a b c d e f g

= = = = = = =

200.0000 200.0000 200.0000 200.0000 200.0000 200.0000 200.0000

+ + + + + + +


= = = = = = =


Y9

->

a b c d

= = = =

#REF! #REF! #REF! #REF!

+ + + +


= = = =


c d e f g

= = = = =

224.8512 224.8512 224.8512 224.8512 224.8512

+ + + + +

0.4189 0.6856 4.6926 -0.9611 -7.5490

= = = = =

225.2702 225.5368 229.5438 223.8901 217.3022

Y6

->

a b c d e f g

= = = = = = =

264.1211 264.1211 264.1211 264.1211 264.1211 264.1211 264.1211

+ + + + + + +

2.2527 5.0061 -1.8767 -4.9995 -7.2657 -9.9486 -14.1977

= = = = = = =

266.3739 269.1272 262.2444 259.1216 256.8554 254.1725 249.9234

Y7

->

a b c d e f g

= = = = = = =

249.6282 249.6282 249.6282 249.6282 249.6282 249.6282 249.6282

+ + + + + + +

4.0556 7.2354 -4.8236 -7.7059 -9.1790 -3.8345 -1.3087

= = = = = = =

253.6838 256.8636 244.8045 241.9222 240.4491 245.7936 248.3194

Y8

->

a b c d e f g

= = = = = = =

200.0000 200.0000 200.0000 200.0000 200.0000 200.0000 200.0000

+ + + + + + +


= = = = = = =


Y9

->

a b c d e f g

= = = = = = =


+ + + + + + +


= = = = = = =


Y10

->

a b c d e f g

= = = = = = =


+ + + + + + +


= = = = = = =


Y11

->

a b c d

= = = =


+ + + +


= = = =


e = f = g =

#REF! #REF! #REF!

+ + +

#REF! #REF! #REF!

= = =

#REF! #REF! #REF!

Perhitungan Beda Tinggi Patok Detail Rumus : = D0det 1/2 sin 2 (90°-γ) + (Tpswt - Bt) ∆Hn (90°-γ)

2 x

(90°-γ)

sin

2 x

∆H P0

a b c d e f g

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x

sin 2 sin 2 sin 2 sin 2 sin 2 sin 2 sin 2

( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.300 1.300 1.300 1.300 1.300 1.300 1.300

-

0.6000 4.9100 1.0375 0.9200 0.6650 0.5500 0.5600

) ) ) ) ) ) )

= = = = = = =

-7.7542 -7.7542 -1.0694 -1.0694 -3.2194 -3.2194 -3.2194

- 15 .50 83 333 3 -15.50833333 -2.138888889 -2.138888889 -6.438888889 -6.438888889 -6.438888889

- 0.2 67 37 85 -0.2673785 -0.0373219 -0.0373219 -0.1121434 -0.1121434 -0.1121434

∆H P1

a b c d e f g

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.270 1.270 1.270 1.270 1.270 1.270 1.270

-

0.9400 0.7300 1.1100 0.9150 1.2850 1.2650 0.8000

) ) ) ) ) ) )

= = = = = = =

-2.1028 -2.1028 -2.1028 -2.1028 0.8847 0.8847 -0.9486

-4.205555556 - 4.2 05 55 555 6 -4.205555556 - 4.2 05 55 555 6 1.769444444 1.769444444 -1.897222222

-0.0733348 - 0.0 73 33 48 -0.0733348 - 0.0 73 33 48 0.0308777 0.0308777 -0.0331067

∆H P2

a b c d e f g

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.450 1.450 1.450 1.450 1.450 1.450 1.450

-

0.9050 1.0250 1.2950 1.2150 1.0000 1.0100 1.6780

) ) ) ) ) ) )

= = = = = = =

-4.1042 -3.5986 -3.5986 -3.5986 -3.5986 -3.5986 1.0819

- 8.2 08 33 333 3 -7.197222222 -7.197222222 -7.197222222 -7.197222222 -7.197222222 2.163888889

- 0.1 42 77 28 -0.1252851 -0.1252851 -0.1252851 -0.1252851 -0.1252851 0.0377580

e = f = g =

#REF! #REF! #REF!

+ + +

#REF! #REF! #REF!

= = =

#REF! #REF! #REF!

Perhitungan Beda Tinggi Patok Detail Rumus : = D0det 1/2 sin 2 (90°-γ) + (Tpswt - Bt) ∆Hn (90°-γ)

2 x

(90°-γ)

sin

2 x

∆H P0

a b c d e f g

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.300 1.300 1.300 1.300 1.300 1.300 1.300

-

0.6000 4.9100 1.0375 0.9200 0.6650 0.5500 0.5600

) ) ) ) ) ) )

= = = = = = =

-7.7542 -7.7542 -1.0694 -1.0694 -3.2194 -3.2194 -3.2194

- 15 .50 83 333 3 -15.50833333 -2.138888889 -2.138888889 -6.438888889 -6.438888889 -6.438888889

- 0.2 67 37 85 -0.2673785 -0.0373219 -0.0373219 -0.1121434 -0.1121434 -0.1121434

∆H P1

a b c d e f g

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.270 1.270 1.270 1.270 1.270 1.270 1.270

-

0.9400 0.7300 1.1100 0.9150 1.2850 1.2650 0.8000

) ) ) ) ) ) )

= = = = = = =

-2.1028 -2.1028 -2.1028 -2.1028 0.8847 0.8847 -0.9486

-4.205555556 - 4.2 05 55 555 6 -4.205555556 - 4.2 05 55 555 6 1.769444444 1.769444444 -1.897222222

-0.0733348 - 0.0 73 33 48 -0.0733348 - 0.0 73 33 48 0.0308777 0.0308777 -0.0331067

∆H P2

a b c d e f g

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.450 1.450 1.450 1.450 1.450 1.450 1.450

-

0.9050 1.0250 1.2950 1.2150 1.0000 1.0100 1.6780

) ) ) ) ) ) )

= = = = = = =

-4.1042 -3.5986 -3.5986 -3.5986 -3.5986 -3.5986 1.0819

- 8.2 08 33 333 3 -7.197222222 -7.197222222 -7.197222222 -7.197222222 -7.197222222 2.163888889

- 0.1 42 77 28 -0.1252851 -0.1252851 -0.1252851 -0.1252851 -0.1252851 0.0377580

∆H P3

a b c d e f g

= = = = = = =

3.00 5.00 4.50 7.00 5.00 6.50 6.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

88.6431 88.6431 88.6431 88.6431 88.6431 88.6431 88.6431

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.450 1.450 1.450 1.450 1.450 1.450 1.450

-

1.150 1.165 1.255 1.23 1.26 1.35 1.275

) ) ) ) ) ) )

= = = = = = =

1.3569 1.3569 1.3569 1.3569 1.3569 1.3569 1.3569

2.713888889 2.713888889 2.713888889 2.713888889 2.713888889 2.713888889 2.713888889

0.0473485 0.0473485 0.0473485 0.0473485 0.0473485 0.0473485 0.0473485

∆H P4

a b c d e f g

= = = = = = =

3.00 5.50 3.50 6.00 7.00 7.50 7.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

90.8681 90.8681 85.0319 85.0319 84.5278 82.4181 89.0597

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.240 1.240 1.240 1.240 1.240 1.240 1.240

-

1.110 1.105 1.52 1.72 1.9 2.32 1.23

) ) ) ) ) ) )

= = = = = = =

-0.8681 -0.8681 4.9681 4.9681 5.4722 7.5819 0.9403

- 1.7 36 11 111 1 -1.736111111 9.936111111 9.936111111 10.94444444 15.16388889 1.880555556

- 0.0 30 29 62 -0.0302962 0.1725499 0.1725499 0.1898570 0.2615809 0.0328159

∆H P5

a =

5.00

x

0.5 x

sin 2

(

90 °

-

89.0986

)

+

(

1.310

-

1.455

)

=

0.9014

1.802777778

0.0314592

b c d e f g

= = = = = =

8.00 5.80 9.50 8.50 8.50 8.50

x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x

sin 2 sin 2 sin 2 sin 2 sin 2 sin 2

( ( ( ( ( (

90 90 90 90 90 90

° ° ° ° ° °

-

89.0986 89.0986 89.0986 89.0986 89.0986 89.0986

) ) ) ) ) )

+ + + + + +

( ( ( ( ( (

1.310 1.310 1.310 1.310 1.310 1.310

-

1.54 1.76 1.435 1.46 1.555 1.595

) ) ) ) ) )

= = = = = =

0.9014 0.9014 0.9014 0.9014 0.9014 0.9014

1.802777778 1.802777778 1.802777778 1.802777778 1.802777778 1.802777778

0.0314592 0.0314592 0.0314592 0.0314592 0.0314592 0.0314592

∆H P6

a b c d e f g

= = = = = = =

4.50 10.00 3.80 10.00 8.00 10.00 15.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000 94.0986

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.360 1.360 1.360 1.360 1.360 1.360 1.360

-

0.910 0.46 0.985 1.9 0.89 0.785 0.535

) ) ) ) ) ) )

= = = = = = =

-2.3014 -2.3014 -7.0472 -4.0986 -4.1000 -4.1000 -4.0986

- 4.6 02 77 777 8 -4.602777778 -14.09444444 -8.197222222 -8.2 -8.2 -8.197222222

- 0.0 80 24 72 -0.0802472 -0.2435209 -0.1425809 -0.1426289 -0.1426289 -0.1425809

∆H P7

a b c d e f g

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (


-

1.380 1.402 1.525 1.66 1.709 1.67 1.546

) ) ) ) ) ) )

= = = = = = =

1.0222 2.0222 2.0222 2.0222 2.0236 2.0236 2.0194

2.044444444 4.044444444 4.044444444 4.044444444 4.047222222 4.047222222 4.038888889

0.0356747 0.0705302 0.0705302 0.0705302 0.0705786 0.0705786 0.0704335

∆H P8

a b c d e f g

= = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (


-

1.118 1.35 0.805 1.225 1.365 1.24 1.18

) ) ) ) ) ) )

= = = = = = =

0.0097 0.0097 0.0097 0.0097 0.0097 0.0097 0.0097

0.019444444 0.019444444 0.019444444 0.019444444 0.019444444 0.019444444 0.019444444

0.0003393 0.0003393 0.0003393 0.0003393 0.0003393 0.0003393 0.0003393

∆H P9

a = b = c =

4.00 7.00 3 00

x x x

0.5 x 0.5 x 05 x

sin 2 sin 2 sin 2

( ( (

90 ° 90 ° 90 °

-

88.6694 88.6694 88 6694

) ) )

+ + +

( ( (

#REF! #REF! #REF!

-

1.410 1.43 1 39

) ) )

= = =

1.3306 1.3306 1 3306

2.661111111 2.661111111 2 661111111

0.0464284 0.0464284 0 0464284

b c d e f g

= = = = = =

8.00 5.80 9.50 8.50 8.50 8.50

x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x


( ( ( ( ( (

90 90 90 90 90 90

° ° ° ° ° °

-

89.0986 89.0986 89.0986 89.0986 89.0986 89.0986

) ) ) ) ) )

+ + + + + +

( ( ( ( ( (

1.310 1.310 1.310 1.310 1.310 1.310

-

1.54 1.76 1.435 1.46 1.555 1.595

) ) ) ) ) )

= = = = = =

0.9014 0.9014 0.9014 0.9014 0.9014 0.9014

1.802777778 1.802777778 1.802777778 1.802777778 1.802777778 1.802777778

0.0314592 0.0314592 0.0314592 0.0314592 0.0314592 0.0314592

∆H P6

a b c d e f g

= = = = = = =

4.50 10.00 3.80 10.00 8.00 10.00 15.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000 94.0986

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.360 1.360 1.360 1.360 1.360 1.360 1.360

-

0.910 0.46 0.985 1.9 0.89 0.785 0.535

) ) ) ) ) ) )

= = = = = = =

-2.3014 -2.3014 -7.0472 -4.0986 -4.1000 -4.1000 -4.0986

- 4.6 02 77 777 8 -4.602777778 -14.09444444 -8.197222222 -8.2 -8.2 -8.197222222

- 0.0 80 24 72 -0.0802472 -0.2435209 -0.1425809 -0.1426289 -0.1426289 -0.1425809

∆H P7

a b c d e f g

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (


-

1.380 1.402 1.525 1.66 1.709 1.67 1.546

) ) ) ) ) ) )

= = = = = = =

1.0222 2.0222 2.0222 2.0222 2.0236 2.0236 2.0194

2.044444444 4.044444444 4.044444444 4.044444444 4.047222222 4.047222222 4.038888889

0.0356747 0.0705302 0.0705302 0.0705302 0.0705786 0.0705786 0.0704335

∆H P8

a b c d e f g

= = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (


-

1.118 1.35 0.805 1.225 1.365 1.24 1.18

) ) ) ) ) ) )

= = = = = = =

0.0097 0.0097 0.0097 0.0097 0.0097 0.0097 0.0097

0.019444444 0.019444444 0.019444444 0.019444444 0.019444444 0.019444444 0.019444444

0.0003393 0.0003393 0.0003393 0.0003393 0.0003393 0.0003393 0.0003393

∆H P9

a b c d e f g

= = = = = = =

4.00 7.00 3.00 6.00 1.00 4.00 6.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (


-

1.410 1.43 1.39 1.37 1.155 1.025 1.22

) ) ) ) ) ) )

= = = = = = =

1.3306 1.3306 1.3306 1.3306 1.3306 1.3306 1.3306

2.661111111 2.661111111 2.661111111 2.661111111 2.661111111 2.661111111 2.661111111

0.0464284 0.0464284 0.0464284 0.0464284 0.0464284 0.0464284 0.0464284

∆H P10

a b c d e f g

= = = = = = =

6.00 10.50 4.00 9.00 8.00 8.00 2.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (


-

2.030 1.93 1.095 0.97 0.94 1.3 1.28

) ) ) ) ) ) )

= = = = = = =

-1.1014 -1.1014 -1.1014 -1.1014 -1.1014 -1.1014 -1.1014

- 2.2 02 77 777 8 -2.202777778 -2.202777778 -2.202777778 -2.202777778 -2.202777778 -2.202777778

- 0.0 38 43 62 -0.0384362 -0.0384362 -0.0384362 -0.0384362 -0.0384362 -0.0384362

∆H P11

a = b = c =

5.00 x 10.00 x 5.00 x

0.5 x 0.5 x 0.5 x

sin 2 sin 2 sin 2

( ( (

90 ° 90 ° 90 °

-

90.9653 90.9653 90.9653

) ) )

+ + +

( ( (

#REF! #REF! #REF!

-

1.385 1.55 1.1

) ) )

= = =

-0.9653 -0.9653 -0.9653

-1.930555556 - 1.9 30 55 555 6 -1.930555556

-0.0336881 - 0.0 33 68 81 -0.0336881

d e f g

10.00 9.50 10.50 13.00

0.5 0.5 0.5 0.5

sin 2 sin 2 sin 2 sin 2

( ( ( (

90 90 90 90

-

90.9653 90.9653 90.9653 90.9653

) ) ) )

+ + + +

( ( ( (


-

0.96 0.9 0.85 0.91

) ) ) )

= = = =

-0.9653 -0.9653 -0.9653 -0.9653

- 1.9 30 55 555 6 -1.930555556 - 1.9 30 55 555 6 -1.930555556

- 0.0 33 68 81 -0.0336881 - 0.0 33 68 81 -0.0336881

= = = =

x x x x

Perhitungan Tinggi Titik Detail Rumus : Pn det = Pn ±

x x x x

° ° ° °

∆H det

P0

a b c d e f g

= = = = = = =


+ + + + + + +

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

= = = = = = =


P1

a b c d e f g

= = = = = = =

20.4000 20.4000 20.4000 20.4000 20.4000 20.4000 20.4000

+ + + + + + +

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

= = = = = = =

20.5467 20.5733 20.3400 20.4067 20.5317 20.5517 20.6383

P2

a b c d e f g

= = = = = = =

20.4077 20.4077 20.4077 20.4077 20.4077 20.4077 20.4077

+ + + + + + +

0.0810 0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

= = = = = = =

20.4887 20.6448 20.3748 20.3044 20.4819 20.5032 20.3307

P3

a =

20 6610

+

0 3710

=

21 0320

d e f g

= = = =

10.00 9.50 10.50 13.00

x x x x


0.5 0.5 0.5 0.5

x x x x

sin 2 sin 2 sin 2 sin 2

( ( ( (

90 90 90 90

° ° ° °

-

∆H det

P0

a b c d e f g

= = = = = = =


+ + + + + + +

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

= = = = = = =


P1

a b c d e f g

= = = = = = =

20.4000 20.4000 20.4000 20.4000 20.4000 20.4000 20.4000

+ + + + + + +

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

= = = = = = =

20.5467 20.5733 20.3400 20.4067 20.5317 20.5517 20.6383

P2

a b c d e f g

= = = = = = =

20.4077 20.4077 20.4077 20.4077 20.4077 20.4077 20.4077

+ + + + + + +

0.0810 0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

= = = = = = =

20.4887 20.6448 20.3748 20.3044 20.4819 20.5032 20.3307

P3

a b c d e f g

= = = = = = =

20.6610 20.6610 20.6610 20.6610 20.6610 20.6610 20.6610

+ + + + + + +

0.3710 0.4034 0.3015 0.3857 0.3084 0.2539 0.3170

= = = = = = =

21.0320 21.0643 20.9625 21.0467 20.9693 20.9148 20.9780

P4

a b c d e f g

= = = = = = =

20.0958 20.0958 20.0958 20.0958 20.0958 20.0958 20.0958

+ + + + + + +

0.0846 0.0517 0.0220 0.0376 0.0045 -0.0991 0.1249

= = = = = = =

20.1804 20.1475 20.1178 20.1335 20.1003 19.9967 20.2207

P5

a =

20.8111

+

-0.0664

=

20.7447

b c d e f g

= = = = = =

20.8111 20.8111 20.8111 20.8111 20.8111 20.8111

+ + + + + +

-0.1042 -0.3588 0.0244 -0.0163 -0.1113 -0.1513

= = = = = =

20.7069 20.4523 20.8355 20.7948 20.6998 20.6598

P6

a b c d e f g

= = = = = = =

21.1240 21.1240 21.1240 21.1240 21.1240 21.1240 21.1240

+ + + + + + +

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381 -0.2444

= = = = = = =

21.3934 21.6227 21.0363 19.8711 21.0235 20.9858 20.8796

P7

a b c d e f g

= = = = = = =

21.0028 21.0028 21.0028 21.0028 21.0028 21.0028 21.0028

+ + + + + + +


= = = = = = =


P8

a b c d e f g

= = = = = = =


+ + + + + + +


= = = = = = =


P9

a = b = c =

#REF! #REF! #REF!

+ + +

#REF! #REF! #REF!

= = =

#REF! #REF! #REF!

90.9653 90.9653 90.9653 90.9653

) ) ) )

+ + + +

( ( ( (


-

0.96 0.9 0.85 0.91

) ) ) )

= = = =

-0.9653 -0.9653 -0.9653 -0.9653

- 1.9 30 55 555 6 -1.930555556 - 1.9 30 55 555 6 -1.930555556

- 0.0 33 68 81 -0.0336881 - 0.0 33 68 81 -0.0336881

b c d e f g

= = = = = =

20.8111 20.8111 20.8111 20.8111 20.8111 20.8111

+ + + + + +

-0.1042 -0.3588 0.0244 -0.0163 -0.1113 -0.1513

= = = = = =

20.7069 20.4523 20.8355 20.7948 20.6998 20.6598

P6

a b c d e f g

= = = = = = =

21.1240 21.1240 21.1240 21.1240 21.1240 21.1240 21.1240

+ + + + + + +

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381 -0.2444

= = = = = = =

21.3934 21.6227 21.0363 19.8711 21.0235 20.9858 20.8796

P7

a b c d e f g

= = = = = = =

21.0028 21.0028 21.0028 21.0028 21.0028 21.0028 21.0028

+ + + + + + +


= = = = = = =


P8

a b c d e f g

= = = = = = =


+ + + + + + +


= = = = = = =


P9

a b c d e f g

= = = = = = =


+ + + + + + +


= = = = = = =


P10

a b c d e f g

= = = = = = =


+ + + + + + +


= = = = = = =


P11

a = b = c =

#REF! #REF! #REF!

+ + +

#REF! #REF! #REF!

= = =

#REF! #REF! #REF!

d e f g


+ + + +


= = = =


= = = =

Perhitungan kemiringan lereng patok detail Rumus : \ P n det = / D0n det ∆ Hn det

x

100%

\P0

a b c d e f g

= = = = = = =

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

/ / / / / / /

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

4.1311 -49.8336 3.9672 1.7529 1.0770 1.5357 1.7928

% % % % % % %

\P1

a b c d e f g

= = = = = = =

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

/ / / / / / /

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

2.9333 1.7333 -1.0001 0.0701 1.3860 1.5965 1.7018

% % % % % % %

\P2

a b c d e f g

= = = = = = =

0.0810 0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

/ / / / / / /

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

1.2460 7.9024 -1.0976 -1.9124 1.2357 1.7357 -0.9621

% % % % % % %

\P3

a =

0 3710

/

3 00

x

100%

=

12 3674

%

d e f g

= = = =


+ + + +


= = = =


Perhitungan kemiringan lereng patok detail Rumus : \ P n det = / D0n det ∆ Hn det

x

100%

\P0

a b c d e f g

= = = = = = =

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

/ / / / / / /

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

4.1311 -49.8336 3.9672 1.7529 1.0770 1.5357 1.7928

% % % % % % %

\P1

a b c d e f g

= = = = = = =

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

/ / / / / / /

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

2.9333 1.7333 -1.0001 0.0701 1.3860 1.5965 1.7018

% % % % % % %

\P2

a b c d e f g

= = = = = = =

0.0810 0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

/ / / / / / /

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

1.2460 7.9024 -1.0976 -1.9124 1.2357 1.7357 -0.9621

% % % % % % %

\P3

a b c d e f g

= = = = = = =

0.3710 0.4034 0.3015 0.3857 0.3084 0.2539 0.3170

/ / / / / / /

3.00 5.00 4.50 7.00 5.00 6.50 6.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

12.3674 8.0674 6.7008 5.5103 6.1674 3.9059 5.2841

% % % % % % %

\P4

a b c d e f g

= = = = = = =

0.0846 0.0517 0.0220 0.0376 0.0045 -0.0991 0.1249

/ / / / / / /

3.00 5.50 3.50 6.00 7.00 7.50 7.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

2.8185 0.9397 0.6275 0.6275 0.0643 -1.3210 1.7837

% % % % % % %

\P5

a =

-0.0664

/

5.00

x

100%

=

-1.3270

%

b c d e f g

= = = = = =

-0.1042 -0.3588 0.0244 -0.0163 -0.1113 -0.1513

/ / / / / /

8.00 5.80 9.50 8.50 8.50 8.50

x x x x x x

100% 100% 100% 100% 100% 100%

= = = = = =

-1.3020 -6.1857 0.2572 -0.1917 -1.3094 -1.7800

% % % % % %

\P6

a b c d e f g

= = = = = = =

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381 -0.2444

/ / / / / / /

4.50 10.00 3.80 10.00 8.00 10.00 15.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

5.9876 4.9876 -2.3076 -12.5290 -1.2564 -1.3814 -1.6290

% % % % % % %

\P7

a b c d e f g

= = = = = = =


/ / / / / / /

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =


% % % % % % %

\P8

a b c d e f g

= = = = = = =


/ / / / / / /

3.50 6.00 4.00 16.00 5.00 6.00 10.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =


% % % % % % %

\P9

a = b = c =

#REF! #REF! #REF!

/ / /

4.00 7.00 3 00

x x x

100% 100% 100%

= = =

#REF! #REF! #REF!

% % %

b c d e f g

= = = = = =

-0.1042 -0.3588 0.0244 -0.0163 -0.1113 -0.1513

/ / / / / /

8.00 5.80 9.50 8.50 8.50 8.50

x x x x x x

100% 100% 100% 100% 100% 100%

= = = = = =

-1.3020 -6.1857 0.2572 -0.1917 -1.3094 -1.7800

% % % % % %

\P6

a b c d e f g

= = = = = = =

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381 -0.2444

/ / / / / / /

4.50 10.00 3.80 10.00 8.00 10.00 15.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

5.9876 4.9876 -2.3076 -12.5290 -1.2564 -1.3814 -1.6290

% % % % % % %

\P7

a b c d e f g

= = = = = = =


/ / / / / / /

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =


% % % % % % %

\P8

a b c d e f g

= = = = = = =


/ / / / / / /

3.50 6.00 4.00 16.00 5.00 6.00 10.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =


% % % % % % %

\P9

a b c d e f g

= = = = = = =


/ / / / / / /

4.00 7.00 3.00 6.00 1.00 4.00 6.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =


% % % % % % %

\ P1 0

a b c d e f g

= = = = = = =


/ / / / / / /

6.00 10.50 4.00 9.00 8.00 8.00 2.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =


% % % % % % %

\ P1 1

a = b = c =

#REF! #REF! #REF!

/ / /

5.00 10.00 5.00

x x x

100% 100% 100%

= = =

#REF! #REF! #REF!

% % %

d e f g


/ / / /

10.00 9.50 10.50 13.00

x x x x

100% 100% 100% 100%

= = = =


% % % %

= = = =

d e f g

= = = =


/ / / /

10.00 9.50 10.50 13.00

x x x x

100% 100% 100% 100%

= = = =


% % % %

360.0000 360.0000 Congratulation

#REF! 0.0000 0.0000

360.0000 360.0000

#REF! 0.0000

Congratulation

γ ) 86 86 86 86 86 86 86

0.0000

52.0000 49.0000 50.0000 53.0000 50.0000 40.0000 51.0000 344.9999

m

2 x

(90°-γ) 0.00106659 0.00106659 0.00106659 0.00106659 0.00106659 0.00106659 0.00106659 Σ∆Hn

=

0.5277 0.1961 0.4417 -0.3767 0.9037 0.5013 0.0672 2.2610

m m m m m m m m

2 x

(90°-γ) 0.00106659 0.00106659 0.00106659 0.00106659 0.00106659 0.00106659 0.00106659 Σ∆Hn

=

0.5277 0.1961 0.4417 -0.3767 0.9037 0.5013 0.0672 2.2610

m m m m m m m m

150 147.7526 106.6856 90.1206 85.9277 116.6117 151.9377 150.0000 #REF! #REF! #REF! 0.0000 0.0000

### ### ### ### ### ### ### ### ### ### ### ###

150 147.7526 106.6856 90.1206 85.9277 116.6117 151.9377 150.0000 #REF! #REF! #REF! 0.0000 0.0000

### ### ### ### ### ### ### ### ### ### ### ###

GANTI INI SESUAI DENGAN DATA U! 45 5 "

det =

28

°

=

28.7514

det = det = det = det = det = det =

28 208 208 147 184 233

° ° ° ° ° °

45 45 45 21 37 41

5 5 5 55 40 0

" " " " " "

= = = = = =

28.7514 208.7514 208.7514 147.3653 184.6278 233.6833

det = det = det = det = det = det = det =

90 90 270 270 326 351 334

° ° ° ° ° ° °

8 8 8 8 6 13 23

50 55 55 55 40 10 55

" " " " " " "

= = = = = = =

90.1472 90.1486 270.1486 270.1486 326.1111 351.2194 334.3986


66 66 246 246 233 275 283

° ° ° ° ° ° °

31 31 31 31 50 17 48

35 35 35 35 45 55 40

" " " " " " "

= = = = = = =

66.5264 66.5264 246.5264 246.5264 233.8458 275.2986 283.8111


87 87 267 267 308 324 259

° ° ° ° ° ° °

19 26 26 26 26 22 18

30 10 10 10 25 40 50

" " " " " " "

= = = = = = =

87.3250 87.4361 267.4361 267.4361 308.4403 324.3778 259.3139

det = det = det =

115 115 295

° ° °

57 57 57

35 35 15

" " "

= = =

115.9597 115.9597 295 9542


28 208 208 147 184 233

° ° ° ° ° °

45 45 45 21 37 41

5 5 5 55 40 0

" " " " " "

= = = = = =

28.7514 208.7514 208.7514 147.3653 184.6278 233.6833


90 90 270 270 326 351 334

° ° ° ° ° ° °

8 8 8 8 6 13 23

50 55 55 55 40 10 55

" " " " " " "

= = = = = = =

90.1472 90.1486 270.1486 270.1486 326.1111 351.2194 334.3986


66 66 246 246 233 275 283

° ° ° ° ° ° °

31 31 31 31 50 17 48

35 35 35 35 45 55 40

" " " " " " "

= = = = = = =

66.5264 66.5264 246.5264 246.5264 233.8458 275.2986 283.8111


87 87 267 267 308 324 259

° ° ° ° ° ° °

19 26 26 26 26 22 18

30 10 10 10 25 40 50

" " " " " " "

= = = = = = =

87.3250 87.4361 267.4361 267.4361 308.4403 324.3778 259.3139


115 115 295 295 350 335 307

° ° ° ° ° ° °

57 57 57 57 7 11 22

35 35 15 15 15 10 45

" " " " " " "

= = = = = = =

115.9597 115.9597 295.9542 295.9542 350.1208 335.1861 307.3792


45 45 225 225 195 235 291

° ° ° ° ° ° °

11 11 11 11 48 49 59

20 20 20 20 50 35 50

" " " " " " "

= = = = = = =

45.1889 45.1889 225.1889 225.1889 195.8139 235.8264 291.9972

det = det = det =

127 127 307

° ° °

0 0 0

0 0 0

" " "

= = =

127.0000 127.0000 307.0000

det = det = det = det =

307 223 247 265

° ° ° °

0 0 29 2

0 0 45 5

" " " "

= = = =

307.0000 223.0000 247.4958 265.0347


15 15 195 195 203 219 254

° ° ° ° ° ° °

0 0 0 0 12 50 48

0 0 0 0 45 15 25

" " " " " " "

= = = = = = =

15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069


143 143 323 323 284 305 325

° ° ° ° ° ° °

0 0 0 0 50 51 31

0 0 0 0 45 15 30

" " " " " " "

= = = = = = =

143.0000 143.0000 323.0000 323.0000 284.8458 305.8542 325.5250


153 153 333 333 315 297 277

° ° ° ° ° ° °

0 0 0 0 35 44 40

0 0 0 0 25 25 10

" " " " " " "

= = = = = = =

153.0000 153.0000 333.0000 333.0000 315.5903 297.7403 277.6694

det = det = det = det = det =

90 90 270 270 286

° ° ° ° °

0 0 0 0 54

0 0 0 0 15

" " " " "

= = = = =

90.0000 90.0000 270.0000 270.0000 286 9042

det = det = det = det =

307 223 247 265

° ° ° °

0 0 29 2

0 0 45 5

" " " "

= = = =

307.0000 223.0000 247.4958 265.0347


15 15 195 195 203 219 254

° ° ° ° ° ° °

0 0 0 0 12 50 48

0 0 0 0 45 15 25

" " " " " " "

= = = = = = =

15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069


143 143 323 323 284 305 325

° ° ° ° ° ° °

0 0 0 0 50 51 31

0 0 0 0 45 15 30

" " " " " " "

= = = = = = =

143.0000 143.0000 323.0000 323.0000 284.8458 305.8542 325.5250


153 153 333 333 315 297 277

° ° ° ° ° ° °

0 0 0 0 35 44 40

0 0 0 0 25 25 10

" " " " " " "

= = = = = = =

153.0000 153.0000 333.0000 333.0000 315.5903 297.7403 277.6694


90 90 270 270 286 320 339

° ° ° ° ° ° °

0 0 0 0 54 59 36

0 0 0 0 15 25 30

" " " " " " "

= = = = = = =

90.0000 90.0000 270.0000 270.0000 286.9042 320.9903 339.6083


45 45 225 225 248 276 326

° ° ° ° ° ° °

0 0 0 0 9 14 39

0 0 0 0 20 15 15

" " " " " " "

= = = = = = =

45.0000 45.0000 225.0000 225.0000 248.1556 276.2375 326.6542

a b c d e f g

= = = = = = =

97 97 91 91 93 93 93

° ° ° ° ° ° °

GANTI INI SESUAI DATA U! 45 15 " 45 15 " 4 10 " 4 10 " 13 10 " 13 10 " 13 10 "

= = = = = = =

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

a b c d e f g

= = = = = = =

92 92 92 92 89 89 90

° ° ° ° ° ° °

6 6 6 6 6 6 56

10 10 10 10 55 55 55

" " " " " " "

= = = = = = =

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

a b c d e f g

= = = = = = =

94 93 93 93 93 93 88

° ° ° ° ° ° °

6 35 35 35 35 35 55

15 55 55 55 55 55 5

" " " " " " "

= = = = = = =

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

a b

= =

88 88

° °

38 38

35 35

" "

= =

88.6431 88 6431

a b c d e f g

= = = = = = =

97 97 91 91 93 93 93

° ° ° ° ° ° °


= = = = = = =

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

a b c d e f g

= = = = = = =

92 92 92 92 89 89 90

° ° ° ° ° ° °

6 6 6 6 6 6 56

10 10 10 10 55 55 55

" " " " " " "

= = = = = = =

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

a b c d e f g

= = = = = = =

94 93 93 93 93 93 88

° ° ° ° ° ° °

6 35 35 35 35 35 55

15 55 55 55 55 55 5

" " " " " " "

= = = = = = =

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

a b c d e f g

= = = = = = =

88 88 88 88 88 88 88

° ° ° ° ° ° °

38 38 38 38 38 38 38

35 35 35 35 35 35 35

" " " " " " "

= = = = = = =

88.6431 88.6431 88.6431 88.6431 88.6431 88.6431 88.6431

a b c d e f g

= = = = = = =

90 90 85 85 84 82 89

° ° ° ° ° ° °

52 52 1 1 31 25 3

5 5 55 55 40 5 35

" " " " " " "

= = = = = = =

90.8681 90.8681 85.0319 85.0319 84.5278 82.4181 89.0597

a b

= =

89 89

° °

5 5

55 55

" "

= =

89.0986 89.0986

c d e f g

= = = = =

89 89 89 89 89

° ° ° ° °

5 5 5 5 5

55 55 55 55 55

" " " " "

= = = = =

89.0986 89.0986 89.0986 89.0986 89.0986

a b c d e f g

= = = = = = =

92 92 97 94 94 94 94

° ° ° ° ° ° °

18 18 2 5 6 6 5

5 5 50 55 0 0 55

" " " " " " "

= = = = = = =

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000 94.0986

a b c d e f g

= = = = = = =

88 87 87 87 87 87 87

° ° ° ° ° ° °

58 58 58 58 58 58 58

40 40 40 40 35 35 50

" " " " " " "

= = = = = = =

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

a b c d e f g a b c d e

= = = = = = = = = = = =

89 89 89 89 89 89 89 88 88 88 88 88

° ° ° ° ° ° ° ° ° ° ° °

59 59 59 59 59 59 59 40 40 40 40 40

25 25 25 25 25 25 25 10 10 10 10 10

" " " " " " " " " " " "

= = = = = = = = = = = =

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 88.6694 88.6694 88.6694 88.6694 88 6694

c d e f g

= = = = =

89 89 89 89 89

° ° ° ° °

5 5 5 5 5

55 55 55 55 55

" " " " "

= = = = =

89.0986 89.0986 89.0986 89.0986 89.0986

a b c d e f g

= = = = = = =

92 92 97 94 94 94 94

° ° ° ° ° ° °

18 18 2 5 6 6 5

5 5 50 55 0 0 55

" " " " " " "

= = = = = = =

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000 94.0986

a b c d e f g

= = = = = = =

88 87 87 87 87 87 87

° ° ° ° ° ° °

58 58 58 58 58 58 58

40 40 40 40 35 35 50

" " " " " " "

= = = = = = =

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806


= = = = = = = = = = = = = = = = = = = = = = = = = = = =

89 89 89 89 89 89 89 88 88 88 88 88 88 88 91 91 91 91 91 91 91 90 90 90 90 90 90 90

° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° °

59 59 59 59 59 59 59 40 40 40 40 40 40 40 6 6 6 6 6 6 6 57 57 57 57 57 57 57

25 25 25 25 25 25 25 10 10 10 10 10 10 10 5 5 5 5 5 5 5 55 55 55 55 55 55 55

" " " " " " " " " " " " " " " " " " " " " " " " " " " "

= = = = = = = = = = = = = = = = = = = = = = = = = = = =

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653

(90°-γ) 8 8 4 4 6 6 6

= = = = = = =

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

m

9 9 9 9 3 3 4

= = = = = = =

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

9 4 4 4 4 4 8

= = = = = = =

0.0810 0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

alfa a

97 97 91 91 93 93 93

° ° ° ° ° ° °

45 45 4 4 13 13 13

15 15 10 10 10 10 10

" " " " " " "

= = = = = = =

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

1.300

b c d e f g

= = = = = = =

p0

alfa alfa alfa alfa alfa alfa m


a b c d e f g

= = = = = = =

92 92 92 92 89 89 90

° ° ° ° ° ° °

6 6 6 6 6 6 56

10 10 10 10 55 55 55

" " " " " " "

= = = = = = =

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

p1

1.270

m


a b c d e f g

= = = = = = =

94 93 93 93 93 93 88

° ° ° ° ° ° °

6 35 35 35 35 35 55

15 55 55 55 55 55 5

" " " " " " "

= = = = = = =

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

p2

1.450

(90°-γ) 8 8 4 4 6 6 6

= = = = = = =

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

m

9 9 9 9 3 3 4

= = = = = = =

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

9 4 4 4 4 4 8

= = = = = = =

7 7 7 7 7 7 7

alfa a

97 97 91 91 93 93 93

° ° ° ° ° ° °

45 45 4 4 13 13 13

15 15 10 10 10 10 10

" " " " " " "

= = = = = = =

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

1.300

b c d e f g

= = = = = = =

p0

alfa alfa alfa alfa alfa alfa m


a b c d e f g

= = = = = = =

92 92 92 92 89 89 90

° ° ° ° ° ° °

6 6 6 6 6 6 56

10 10 10 10 55 55 55

" " " " " " "

= = = = = = =

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

p1

1.270

0.0810 0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

m


a b c d e f g

= = = = = = =

94 93 93 93 93 93 88

° ° ° ° ° ° °

6 35 35 35 35 35 55

15 55 55 55 55 55 5

" " " " " " "

= = = = = = =

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

p2

1.450

= = = = = = =

0.3710 0.4034 0.3015 0.3857 0.3084 0.2539 0.3170

m


a b c d e f g

= = = = = = =

88 88 88 88 88 88 88

° ° ° ° ° ° °

38 38 38 38 38 38 38

35 35 35 35 35 35 35

" " " " " " "

= = = = = = =

88.6431 88.6431 88.6431 88.6431 88.6431 88.6431 88.6431

p3

1.450

9 9 9 9 3 7 3

= = = = = = =

0.0846 0.0517 0.0220 0.0376 0.0045 -0.0991 0.1249

m


a b c d e f g

= = = = = = =

90 90 85 85 84 82 89

° ° ° ° ° ° °

52 52 1 1 31 25 3

5 5 55 55 40 5 35

" " " " " " "

= = = = = = =

90.8681 90.8681 85.0319 85.0319 84.5278 82.4181 89.0597

p4

1.240

6

=

-0.0664

m

alfa a

=

89

°

5

55

"

=

89.0986

p5

1.310

6 6 6 6 6 6

= = = = = =

-0.1042 -0.3588 0.0244 -0.0163 -0.1113 -0.1513

alfa alfa alfa alfa alfa alfa

b c d e f g

= = = = = =

89 89 89 89 89 89

° ° ° ° ° °

5 5 5 5 5 5

55 55 55 55 55 55

" " " " " "

= = = = = =

89.0986 89.0986 89.0986 89.0986 89.0986 89.0986

9 9 9 8 4 4 8

= = = = = = =

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381 -0.2444

m


a b c d e f g

= = = = = = =

92 92 97 94 94 94 94

° ° ° ° ° ° °

18 18 2 5 6 6 5

5 5 50 55 0 0 55

" " " " " " "

= = = = = = =

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000 94.0986

p6

1.360

5 5 5 5 6 6 3

= = = = = = =


m


a b c d e f g

= = = = = = =

88 87 87 87 87 87 87

° ° ° ° ° ° °

58 58 58 58 58 58 58

40 40 40 40 35 35 50

" " " " " " "

= = = = = = =

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

p7

#REF!

7 7 7 7 7 7 7

= = = = = = =


m


a b c d e f g

= = = = = = =

89 89 89 89 89 89 89

° ° ° ° ° ° °

59 59 59 59 59 59 59

25 25 25 25 25 25 25

" " " " " " "

= = = = = = =

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903

p8

#REF!

4 4 4

= = =

#REF! #REF! #REF!

m

alfa a alfa b alfa c

= = =

88 88 88

° ° °

40 40 40

10 10 10

" " "

= = =

88.6694 88.6694 88 6694

p9

#REF!

6 6 6 6 6 6

= = = = = =

-0.1042 -0.3588 0.0244 -0.0163 -0.1113 -0.1513


b c d e f g

= = = = = =

89 89 89 89 89 89

° ° ° ° ° °

5 5 5 5 5 5

55 55 55 55 55 55

" " " " " "

= = = = = =

89.0986 89.0986 89.0986 89.0986 89.0986 89.0986

9 9 9 8 4 4 8

= = = = = = =

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381 -0.2444

m


a b c d e f g

= = = = = = =

92 92 97 94 94 94 94

° ° ° ° ° ° °

18 18 2 5 6 6 5

5 5 50 55 0 0 55

" " " " " " "

= = = = = = =

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000 94.0986

p6

1.360

5 5 5 5 6 6 3

= = = = = = =


m


a b c d e f g

= = = = = = =

88 87 87 87 87 87 87

° ° ° ° ° ° °

58 58 58 58 58 58 58

40 40 40 40 35 35 50

" " " " " " "

= = = = = = =

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

p7

#REF!

7 7 7 7 7 7 7

= = = = = = =


m


a b c d e f g

= = = = = = =

89 89 89 89 89 89 89

° ° ° ° ° ° °

59 59 59 59 59 59 59

25 25 25 25 25 25 25

" " " " " " "

= = = = = = =

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903

p8

#REF!

4 4 4 4 4 4 4

= = = = = = =


m


a b c d e f g

= = = = = = =

88 88 88 88 88 88 88

° ° ° ° ° ° °

40 40 40 40 40 40 40

10 10 10 10 10 10 10

" " " " " " "

= = = = = = =

88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694

p9

#REF!

5 5 5 5 5 5 5

= = = = = = =


m


a b c d e f g

= = = = = = =

91 91 91 91 91 91 91

° ° ° ° ° ° °

6 6 6 6 6 6 6

5 5 5 5 5 5 5

" " " " " " "

= = = = = = =

91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014

p10

#REF!

6 6 6

= = =

#REF! #REF! #REF!

m

alfa a alfa b alfa c

= = =

90 90 90

° ° °

57 57 57

55 55 55

" " "

= = =

90.9653 90.9653 90.9653

p11

#REF!

6 6 6 6

= = = =


alfa alfa alfa alfa

= = = =

90 90 90 90

° ° ° °

57 57 57 57

55 55 55 55

" " " "

= = = =

90.9653 90.9653 90.9653 90.9653

d e f g

6 6 6 6

= = = =


alfa alfa alfa alfa

= = = =

d e f g

90 90 90 90

° ° ° °

57 57 57 57

55 55 55 55

" " " "

= = = =

90.9653 90.9653 90.9653 90.9653

PROFIL MEMANJANG Konversi ke bentuk decimal degree Dari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degree Contoh: 197° 36' 40" 36 40 = 197 + + 60 3600 = 197 + 0.6 + 0.0111 = 197.611111 Profil Memanjang Perhitungan jarak sudut horizontal Rumus : Σβ = β1 + β2 + β3 + … βn β P0 β P1

=

191

°

32

5

"

=

191.5347

=

204

°

52

45

"

=

204.8792

β P2

=

239

°

0

45

"

=

239.0125

β P3

=

188

°

22

0

"

=

188.3667

β P4

=

284

°

10

35

"

=

284.1764

β P5

=

156

°

3

0

"

=

156.0500

β P6

=

193

°

15

50

"

=

193.2639

β P7

=

187

°

55

50

"

=

187.9306

PROFIL MEMANJANG Konversi ke bentuk decimal degree Dari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degree Contoh: 197° 36' 40" 36 40 = 197 + + 60 3600 = 197 + 0.6 + 0.0111 = 197.611111 Profil Memanjang Perhitungan jarak sudut horizontal Rumus : Σβ = β1 + β2 + β3 + … βn β P0 β P1

=

191

°

32

5

"

=

191.5347

=

204

°

52

45

"

=

204.8792

β P2

=

239

°

0

45

"

=

239.0125

β P3

=

188

°

22

0

"

=

188.3667

β P4

=

284

°

10

35

"

=

284.1764

β P5

=

156

°

3

0

"

=

156.0500

β P6

=

193

°

15

50

"

=

193.2639

β P7

=

187

°

55

50

"

=

187.9306

β P8

=

258

°

26

40

"

=

258.4444

β P9

=

162

°

30

35

"

=

162.5097

β P10

=

282

°

7

0

"

=

282.1167

β P11

= =

179

°

56

30

"

=

179.9417 2528.2264

Σβ


2520 2528.2264

(n±2). 180°- Σβ (

12 + 8.2264

2 )

.

180

°

-

2528.2264

Koreksi sudut horizontal ( ∆β) Rumus : =

∆β

= =

Σk n 8.2264 12 0.6855

Perhitungan sudut horizontal terkoreksi Rumus : βn = βn ± ∆β βP0

=

191.5347

-

0.6855

=

190.8492

0.68553241

βP1

=

204.8792

-

0.6855

=

204.1936

0.68553241

βP2

=

239.0125

-

0.6855

=

238.3270

0.68553241

βP3

=

188.3667

-

0.6855

=

187.6811

0.68553241

βP4

=

284.1764

-

0.6855

=

283.4909

0.68553241

βP5

=

156.0500

-

0.6855

=

155.3645

0.68553241

βP6

=

193.2639

-

0.6855

=

192.5784

0.68553241

βP7

=

187.9306

-

0.6855

=

187.2450

0.68553241

βP8

=

258.4444

-

0.6855

=

257.7589

0.68553241

βP9

=

162.5097

-

0.6855

=

161.8242

0.68553241

βP10

=

282.1167

-

0.6855

=

281.4311

0.68553241

-8.2264

βP11

=

179.9417

-

0.6855

=

179.2561

0.68553241


: αn =

=

β P0 ±

αn-1

±

βn (koreksi)

180

120

°

° α1

=

120.7111

215.0428

α2

=

120.7111

+

238.3270

=

273.3698

α3

=

179.0381

+

187.6811

-180

=

281.0509

α4

=

186.7192

+

283.4909

+

-180

=

384.5418

α5

=

290.2101

+

155.3645

155.3645

+

-180

=

359.9063

α6

=

265.5745

+

192.5784

+

192.5784

+

-180

=

372.4846

α7

=

278.1529

+

187.2450

372.4846

+

187.2450

+

-180

=

379.7296

α8

=

285.3979

+

257.7589

α8 =

379.7296

+

257.7589

+

-180

=

457.4885

α9

=

363.1568

+

161.8242

α9 =

457.4885

+

161.8242

+

-180

=

439.3127

α10 =

344.9810

+

281.4311

α10 =

439.3127

+

281.4311

+

-180

=

540.7439

α11 =

446.4122

+

179.2561

α11 =

540.7439

+

179.2561

+

-180

=

540.0000

α0

=

445.6683

+

190.8492

α0 =

540.0000

+

190.8492

+

-180

=

550.8492

α1

=

456.5175

+

204.1936

=

480.7111

+ -

α0 =

190.8492

α1 =

190.8492

+

204.1936

+

-180

=

α2 =

215.0428

+

238.3270

+

-180

α3 =

273.3698

+

187.6811

+

α4 =

281.0509

+

283.4909

α5 =

384.5418

+

α6 =

359.9063

α7 =

Perhitungan jarak optis patok utama Rumus : D0n = (Ba-Bb)

x

360

100

Do P0-P1 Do P1-P2 Do P2-P3 Do P3-P4 Do P4-P5 Do P5-P6 Do P6-P7 Do P7-P8 Do P8-P9

= = = = = = = = =

( ( ( ( ( ( ( ( (

1.050 1.210 2.092 2.115 0.370 1.105 1.565 1.705 3.280

-

0.550 1.000 1.585 1.110 0.355 0.530 1.260 1.215 2.785

) ) ) ) ) ) ) ) )

x x x x x x x x x

100 100 100 100 100 100 100 100 100

= = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5

m m m m m m m m m

Do P9-P10

=

(

1.945

-

1.445

)

x

100

=

50

m

Do P10-P11

=

(

1.760

-

1.180

)

x

100

=

58

m

Do P11-P0 Do P0-P1

= =

( (

2.730 1.050

-

1.900 0.550

) )

x 100 x 100 ΣD0

= = =

83 50 601.2

m m m

Perhitungan jarak proyeksi patok utama (Dpn) Rumus : cos² Dpn = Do . ( 90°-γ

)

Dp P0-P1 Dp P1-P2 Dp P2-P3 Dp P3-P4 Dp P4-P5 Dp P5-P6 Dp P6-P7 Dp P7-P8 Dp P8-P9

= = = = = = = = =

91 90 90 89 82 88 90 89 88

° ° ° ° ° ° ° ° °

27 24 23 30 25 45 52 59 28

25 10 0 0 25 5 40 25 35

" " " " " " " " "

= = = = = = = = =

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5

Dp P9-P10

=

90

°

35

40

"

=

90.5944

50

cos² cos² cos² cos² cos² cos² cos² cos² cos²

( ( ( ( ( ( ( ( (

90 90 90 90 90 90 90 90 90

x cos²

(

90 -

x x x x x x x x x

-

Dp P10-P11 Dp P11-P0 Dp P0-P1

=

89

= =

59 91

° ° °

27

30

58 27

"

48 25

=

" "

= =

89.4583 59.9800 91.4569

58

x cos²

(

90 -

83 50

x cos² x cos²

( (

90 90 -

Forgive me Tmank, kerja sama hanya batas sini sj,…. Selamat m

Perhitungan jarak horizontal patok utama (Dxn) Rumus : sinαn Dxn = Dpn . Dx0-Dx1

=

49.9677

x

sin

120.7111

=

42.9599

Dx1-Dx2

=

20.9990

x

sin

179.0381

=

0.3525

Dx2-Dx3

=

50.6977

x

sin

186.7192

=

-5.9318

Dx3-Dx4

=

100.492

x

sin

290.2101

=

-94.3053

Dx4-Dx5

=

1.4739

x

sin

265.5745

=

-1.4695

Dx5-Dx6

=

57.4727

x

sin

278.1529

=

-56.8918

Dx6-Dx7

=

30.4928

x

sin

285.3979

=

-29.3983

Dx7-Dx8

=

49.0000

x

sin

363.1568

=

2.6984

Dx8-Dx9

=

49.4650

x

sin

344.9810

=

-12.8183

Dx9-Dx10

=

49.9946

x

sin

446.4122

=

49.8966

Dx10-Dx11

=

57.9948

x

sin

445.6683

=

57.8292

Dx11-Dx0

=

62.2249

x

sin

456.5175 ΣDxn

= =

61.8228 14.7443

Perhitungan jarak vertikal patok utama Rumus : .cos αn Dyn = Dpn Dy0-Dy1

=

49.9677

x

cos

120.7111

=

-25.5190

Dy1-Dy2

=

20.9990

x

cos

179.0381

=

-20.9960

Dy2-Dy3

=

50.6977

x

cos

186.7192

=

-50.3495

Dy3-Dy4

=

100.492

x

cos

290.2101

=

34.7164

Dy4-Dy5

=

1.4739

x

cos

265.5745

=

-0.1137

Dy5-Dy6

=

57.4727

x

cos

278.1529

=

8.1505

Dy6-Dy7

=

30.4928

x

cos

285.3979

=

8.0965

Dy7-Dy8

=

49.0000

x

cos

363.1568

=

48.9256

Dy8-Dy9

=

49.4650

x

cos

344.9810

=

47.7753

Dy9-Dy10

=

49.9946

x

cos

446.4122

=

3.1286

Dy10-Dy11

=

57.9948

x

cos

445.6683

=

4.3804

Dy11-Dy0

=

62.2249

x

cos

456.5175 ΣDyn

= =

-7.0629 51.1322

Perhitungan koreksi jarak horizontal Rumus : Dpn = x δDxn ΣDp δDx0 δDx1 δDx2 δDx3 δDx4 δDx5 δDx6 δDx7 δDx8 δDx9

= = = = = = = = = =

( ( ( ( ( ( ( ( ( (

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650 49.9946

ΣDx

/ / / / / / / / / /

580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755

) ) ) ) ) ) ) ) ) )

x x x x x x x x x x

14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443

= = = = = = = = = =

1.2696 0.5336 1.2882 2.5534 0.0375 1.4603 0.7748 1.2450 1.2569 1.2703

δDx10 δDx11

= ( = (

57.9948 62.2249

/ /

Perhitungan koreksi jarak vertikal Rumus : Dpn = δDyn ΣDp = = = = = = = = = = = =

δDy0 δDy1 δDy2 δDy3 δDy4 δDy5 δDy6 δDy7 δDy8 δDy9 δDy10 δDy11

( ( ( ( ( ( ( ( ( ( ( (

x

580.2755 580.2755

) )

x x

14.7443 14.7443 ΣδDx

= = =

1.4736 1.5811 14.7443

Controling Cabin

Congratulation ^_^

ΣDy

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650 49.9946 57.9948 62.2249

/ / / / / / / / / / / /

580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217

) ) ) ) ) ) ) ) ) ) ) )


51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 ΣδDy

= = = = = = = = = = = = =

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764 90.5944 89.4583 #REF!

) ) ) ) ) ) ) ) ) ) ) )

4.4030 1.8504 4.4673 8.8551 0.1299 5.0643 2.6869 4.3177 4.3587 4.4054 5.1103 5.4831 51.1322

Controli

Congratul

Perhitungan koordinat horizontal patok utama (Xn) Rumus : Xn = Xn-1 + Dxn-1 δDxn-1 Perhitungan beda tinggi patok utama ( ∆Hn) Rumus : = D0n 1/2 sin 2 (90°-γ) + (Tpswt - Bt) ∆Hn ∆H P0-P1 ∆H P1-P2 ∆H P2-P3 ∆H P3-P4 ∆H P4-P5 ∆H P5-P6 ∆H P6-P7 ∆H P7-P8 ∆H P8-P9 ∆H P9-P10 ∆H P10-P11 ∆H P11-P0

= = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5 50 58 83


0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5

sin 2 sin2 sin 2 sin 2 sin 2 sin 2 sin 2 sin 2 sin 2 sin 2 sin 2 sin 2

( ( ( ( ( ( ( ( ( ( ( (

90 90 90 90 90 90 90 90 90 90 90 90

° ° ° ° ° ° ° ° ° ° ° °

-

Perhitungan koreksi beda tinggi patok utama Rumus : Σ∆Hn = δ∆H n #REF! = 12 = #REF! Perhitungan koordinat horizontal patok utama (Xn) Rumus : Xn = Xn-1 + Dxn-1 δDxn-1 X1 X2 X3 X4 X5 X6

= = = = = =

122.8 122.8 164.4902 164.3092 157.0891955 60.23051104

+ + + + +

42.9599 0.3525 -5.9318 -94.3053 -1.4695

-

1.2696 0.5336 1.2882 2.5534 0.0375

= = = = =

164.4902 164.3092 157.0892 60.2305 58.7235

+ + + + + + + + + + + +

( ( ( ( ( ( ( ( ( ( ( (

1.300 1.270 1.450 1.450 1.240 1.310 1.360 1.290 1.310 1.390 1.400 1.360

-

0.800 1.100 1.035 1.855 0.363 0.830 1.320 1.560 3.030 1.700 1.570 2.325

) ) ) ) ) ) ) ) ) ) ) )

= = = = = = = = = = = =

X7 X8 X9 X10 X11 X0 X1

= = = = = = =

58.72353021 0.371372037 -29.80172631 -28.34838131 -42.42355508 6.202757575 62.5583

+ + + + + + +

-56.8918 -29.3983 2.6984 -12.8183 49.8966 57.8292 61.8228

-

1.4603 0.7748 1.2450 1.2569 1.2703 1.4736 1.5811

= = = = = = =

0.3714 -29.8017 -28.3484 -42.4236 6.2028 62.5583 122.8000

= = = = = = = = = = = =

-33.9120 -56.7583 -111.5752 -85.7139 -85.9575 -82.8713 -77.4618 -32.8539 10.5627 9.2859 8.5560 -3.9900

Controling cabin Congratulation^_^

Perhitungan koordinat horizontal patok utama (yn) Rumus Yn = Yn-1 + Dyn-1 δDyn-1 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y0 Y1

= = = = = = = = = = = = =

-3.99 -3.99 -33.9120 -56.7583 -111.5752 -85.7139 -85.9575 -82.8713 -77.4618 -32.8539 10.5627 9.2859 8.5560

+ + + + + + + + + + + +

-25.5190 -20.9960 -50.3495 34.7164 -0.1137 8.1505 8.0965 48.9256 47.7753 3.1286 4.3804 -7.0629

Perhitungan kemiringan lereng patok utama Rumus : \Pn = D0n x ∆Hn / \P0-1 \P1-2 \P2-3 \P2-4 \P4-5 \P5-6 \P6-7 \P7-8 \P8-9 \P9-10 \P10-11 \P11-0

= = = = = = = = = = = =

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 #REF!

/ / / / / / / / / / / /

= = = = = = = =

20.4000 20.4000 #REF! #REF! #REF! #REF! #REF! #REF!

+ + + + + + +

4.4030 1.8504 4.4673 8.8551 0.1299 5.0643 2.6869 4.3177 4.3587 4.4054 5.1103 5.4831

100

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5 50 58 83

Perhitungan Tinggi Titik Patok Utama Rumus : Pn = Pn-1 ± ∆Hn-1 P1 P2 P3 P4 P5 P6 P7 P8

-


% x x x x x x x x x x x x

100 100 100 100 100 100 100 100 100 100 100 100

% % % % % % % % % % % %

= = = = = = = = = = = =

-1.54175175 0.106567132 0.149517519 0.469635247 71.53635363 3.013330213 -1.400623988 -0.53405193 -0.816797869 -1.657426827 0.652226901 #REF!

% % % % % % % % % % % %

± δ∆H

0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617

+ + + + + + +


= = = = = = =


2 0.4 00 0

2 0.4 22 4 20.4982 20.9702 22.0432 23.7759 23.3487 23.0870

+ + + + + + +


P9 P10 P11 P0 P1

= = = = =


+ + + + +

-0.4043 -0.8287 0.3783 #REF! -0.7709

+ + + + +

Perhitungan Luas Areal Rumus : L (Xn. Yn+1)-(Yn. Xn+1) = 2 62.5583 P0 ( . -3.990 =

P1

P2

P3

P4

P5

P6

P7

P8

P9

P10

P11

=

=

=

=

=

=

=

=

=

=

=


= = = = =


22.6827 21.8540 22.2323 #REF! #REF!

) ( 2.0000

8.5560

-

122.8000

)

(

122.8000

.

-33.912

) ( 2.0000

-3.9900

-

-33.9120

)

(

164.4902

.

-56.758

) ( 2.0000

-33.9120

-

164.3092

)

(

164.3092

.

-111.575

) ( 2.0000

-56.7583

-

157.0892

)

(

157.0892

.

-85.714

) ( 2.0000

-111.575

-

60.2305

)

(

60.2305

.

-85.957

) ( 2.0000

-85.714

-

58.7235

)

(

58.7235

.

-82.871

) ( 2.0000

-85.957

-

0.3714

)

(

0.3714

.

-77.462

) ( 2.0000

-82.871

-

-29.8017

)

(

-29.8017

.

-32.854

) ( 2.0000

-77.462

-

-28.3484

)

(

-28.3484

.

10.563

) ( 2.0000

-32.854

-

-42.4236

)

(

-42.4236

.

9.286

) ( 2.0000

10.563

-

6.2028

)

(

6.2028

.

8.556

) ( 2.0000

9.286

-

62.5583

)

PROFIL MELINTANG Perhitungan Azimut Benar Titik Detail ( αn det) Rumus : ± 180/540 αn det = αn + βndet α0

->

a b c d e f g

= = = = = = =

456.5175 456.5175 456.5175 456.5175 456.5175 456.5175 456.5175

+ + + + + + +

28.7514 28.7514 208.7514 208.7514 147.3653 184.6278 233.6833

-

180 180 540 540 540 540 540

= = = = = = =

305.2689 305.2689 125.2689 125.2689 63.8828 101.1453 150.2008

α1

->

a

=

120.7111

+

90.1472

-

180

=

30.8583

=

-650.1418

m²

=

- 214 9. 849 9

m²

=

-1882.0720

m²

=

- 470 8. 354 1

m²

=

- 337 2. 247 0

m²

=

-71.9209

m²

=

-2417.2871

m²

=

-1249.2378

m²

=

-608.4070

m²

=

- 84 6.6 06 7

m²

=

-229.7302

m²

=

-263.9210

m²

= =

18449.7755 18.44977547

m² Ha

+ + + + +


b c d e f g

= = = = = =

120.7111 120.7111 120.7111 120.7111 120.7111 120.7111

+ + + + + +

90.1486 270.1486 270.1486 326.1111 351.2194 334.3986

-

180 180 180 180 180 180

= = = = = =

30.8597 210.8597 210.8597 266.8222 291.9306 275.1097

α2

->

a b c d e f g

= = = = = = =

179.0381 179.0381 179.0381 179.0381 179.0381 179.0381 179.0381

+ + + + + + +

66.5264 66.5264 246.5264 246.5264 233.8458 275.2986 283.8111

-

180 180 180 180 180 180 180

= = = = = = =

65.5645 65.5645 245.5645 245.5645 232.8839 274.3367 282.8492

α3

->

a b c d e f g

= = = = = = =

186.7192 186.7192 186.7192 186.7192 186.7192 186.7192 186.7192

+ + + + + + +

87.3250 87.4361 267.4361 267.4361 308.4403 324.3778 259.3139

-

180 180 180 180 180 180 180

= = = = = = =

94.0442 94.1553 274.1553 274.1553 315.1595 331.0970 266.0331

α4

->

a b c d e f g

= = = = = = =

290.2101 290.2101 290.2101 290.2101 290.2101 290.2101 290.2101

+ + + + + + +

115.9597 115.9597 295.9542 295.9542 350.1208 335.1861 307.3792

-

180 180 540 540 540 540 540

= = = = = = =

226.1698 226.1698 46.1642 46.1642 100.3309 85.3962 57.5892

α5

->

a b c d e f g

= = = = = = =

265.5745 265.5745 265.5745 265.5745 265.5745 265.5745 265.5745

+ + + + + + +

45.1889 45.1889 225.1889 225.1889 195.8139 235.8264 291.9972

-

180 180 180 180 180 180 540

= = = = = = =

130.7634 130.7634 310.7634 310.7634 281.3884 321.4009 17.5718

α6

->

a b c d e f g

= = = = = = =

278.1529 278.1529 278.1529 278.1529 278.1529 278.1529 278.1529

+ + + + + + +

127.0000 127.0000 307.0000 307.0000 223.0000 247.4958 265.0347

-

180 180 540 540 180 180 540

= = = = = = =

225.1529 225.1529 45.1529 45.1529 321.1529 345.6487 3.1876

α7

->

a b c d e f g

= = = = = = =

285.3979 285.3979 285.3979 285.3979 285.3979 285.3979 285.3979

+ + + + + + +

15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069

-

180 180 180 180 180 180 540

= = = = = = =

120.3979 120.3979 300.3979 300.3979 308.6104 325.2354 0.2049

α8

->

a b c d e f g

= = = = = = =

363.1568 363.1568 363.1568 363.1568 363.1568 363.1568 363.1568

+ + + + + + +

143.0000 143.0000 323.0000 323.0000 284.8458 305.8542 325.5250

-

180 180 540 540 540 540 540

= = = = = = =

326.1568 326.1568 146.1568 146.1568 108.0027 129.0110 148.6818

->

a b c d e f g

= = = = = = =

344.9810 344.9810 344.9810 344.9810 344.9810 344.9810 344.9810

+ + + + + + +

153.0000 153.0000 333.0000 333.0000 315.5903 297.7403 277.6694

-

180 180 540 540 540 540 540

= = = = = = =

317.9810 317.9810 137.9810 137.9810 120.5713 102.7213 82.6505

α10 ->

a b c d e f g

= = = = = = =

446.4122 446.4122 446.4122 446.4122 446.4122 446.4122 446.4122

+ + + + + + +

90.0000 90.0000 270.0000 270.0000 286.9042 320.9903 339.6083

-

180 180 540 540 540 540 540

= = = = = = =

356.4122 356.4122 176.4122 176.4122 193.3163 227.4024 246.0205

α11 ->

a b c d e f g

= = = = = = =

445.6683 445.6683 445.6683 445.6683 445.6683 445.6683 445.6683

+ + + + + + +

45.0000 45.0000 225.0000 225.0000 248.1556 276.2375 326.6542

-

180 180 540 540 540 540 540

= = = = = = =

310.6683 310.6683 130.6683 130.6683 153.8238 181.9058 232.3225

α9

Perhitungan Jarak Optis Titik Detail Rumus : D0 det = (Ba- Bb) x 1 00 α0

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.6100 0.4950 1.0600 0.9650 0.7050 0.6050 0.6100

-

0.5700 0.3960 1.0150 0.8600 0.6100 0.5000 0.5100

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

α1

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9600 0.7800 1.1500 0.9600 1.3300 1.3100 0.8700

-

0.9100 0.6800 1.0900 0.8650 1.2350 1.2150 0.7300

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

α2

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9350 1.0400 1.3100 1.2420 1.0300 1.0400 1.7150

-

0.8700 1.0100 1.2800 1.1880 0.9700 0.9850 1.6350

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

α3

->

a b

= =

( (

1.1650 1.1900

-

1.1350 1.1400

) )

x x

100 100

= =

3.00 5.00

c d e f g

= = = = =

( ( ( ( (

1.2800 1.2650 1.2850 1.3800 1.3050

-

1.2350 1.1950 1.2350 1.3150 1.2450

) ) ) ) )

x x x x x

100 100 100 100 100

= = = = =

4.50 7.00 5.00 6.50 6.00

α4

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.1300 1.1350 1.5350 1.7500 1.9350 2.3550 1.2700

-

1.1000 1.0800 1.5000 1.6900 1.8650 2.2800 1.2000

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

3.00 5.50 3.50 6.00 7.00 7.50 7.00

α5

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.4850 1.5800 1.7880 1.4800 1.5050 1.6000 1.6350

-

1.4350 1.5000 1.7300 1.3850 1.4200 1.5150 1.5500

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

5.00 8.00 5.80 9.50 8.50 8.50 8.50

α6

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

0.9350 0.5100 1.0100 1.9500 0.9400 0.8350 0.6100

-

0.8900 0.4100 0.9720 1.8500 0.8600 0.7350 0.4600

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.50 10.00 3.80 10.00 8.00 10.00 15.00

α7

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.4020 1.4400 1.5500 1.7000 1.7600 1.7100 1.5700

-

1.3600 1.3650 1.5000 1.6200 1.6600 1.6600 1.5200

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

α8

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.2000 1.3800 0.8250 1.2600 1.4000 1.2700 1.2300

-

1.1650 1.3200 0.7850 1.1000 1.3500 1.2100 1.1300

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00

α9

->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

1.4300 1.5150 1.4050 1.4000 1.1350 1.0400 1.2500

-

1.3900 1.4450 1.3750 1.3400 1.1250 1.0000 1.1900

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

4.00 7.00 3.00 6.00 1.00 4.00 6.00

α10 ->

a b c d e f g

= = = = = = =

( ( ( ( ( ( (

2.0600 1.9850 1.1100 1.0100 0.9800 1.3400 1.3400

-

2.0000 1.8800 1.0700 0.9200 0.9000 1.2600 1.3200

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

6.00 10.50 4.00 9.00 8.00 8.00 2.00

α11 ->

a

=

(

1.4100

-

1.3600

)

x

100

=

5.00

b c d e f g

= = = = = =

( ( ( ( ( (

Perhitungan Jarak proyeksi Rumus : Dpn det =

1.6000 1.1300 1.0100 0.9450 0.9050 0.9800

D0n det

-

x

1.5000 1.0800 0.9100 0.8500 0.8000 0.8500

) ) ) ) ) )

x x x x x x

Cos²

(90° - γ)

100 100 100 100 100 100

= = = = = =

10.00 5.00 10.00 9.50 10.50 13.00

α0

->

a b c d e f g

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

) ) ) ) ) ) )

= = = = = = =

(90° - γ) -7.7542 -7.7542 -1.0694 -0.0694 -3.2194 -3.2194 -3.2194

Cos² (90° - γ) 0.990856088 0.990856088 0.999825808 0.999999265 0.998421763 0.998421763 0.998421763

Dpn det 3.9272 9.7198 4.4984 10.5000 9.4700 10.4669 9.9685

α1

->

a b c d e f g

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

) ) ) ) ) ) )

= = = = = = =

-2.1028 -2.1028 -2.1028 -1.1028 0.8847 0.8847 -0.9486

0.999326616 0.999326616 0.999326616 0.99981478 0.999880785 0.999880785 0.999862946

4.9933 9.9865 5.9919 9.4965 9.4977 9.4977 13.9962

α2

->

a b c d e f g

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

) ) ) ) ) ) )

= = = = = = =

-4.1042 -3.5986 -3.5986 -2.5986 -3.5986 -3.5986 1.0819

0.997435581 0.99802825 0.99802825 0.998971669 0.99802825 0.99802825 0.999821712

6.4667 2.9882 2.9882 5.3889 5.9764 5.4783 7.9971

α3

->

a b c d e f g

= = = = = = =

3.00 5.00 4.50 7.00 5.00 6.50 6.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

88.6431 88.6431 88.6431 88.6431 88.6431 88.6431 88.6431

) ) ) ) ) ) )

= = = = = = =

1.3569 1.3569 1.3569 2.3569 1.3569 1.3569 1.3569

0.999719567 0.999719567 0.999719567 0.999154016 0.999719567 0.999719567 0.999719567

2.9983 4.9972 4.4975 6.9882 4.9972 6.4964 5.9966

α4

->

a b c d e f g

= = = = = = =

3.00 5.50 3.50 6.00 7.00 7.50 7.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

90.8681 90.8681 85.0319 85.0319 84.5278 82.4181 89.0597

) ) ) ) ) ) )

= = = = = = =

-0.8681 -0.8681 4.9681 5.9681 5.4722 7.5819 0.9403

0.999885234 0.999885234 0.996243136 0.994580019 0.995442549 0.991257169 0.999865343

2.9993 5.4987 3.4738 5.9351 6.9363 7.3694 6.9981

α5

->

a b c d e f g

= = = = = = =

5.00 8.00 5.80 9.50 8.50 8.50 8.50

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

89.0986 89.0986 89.0986 89.0986 89.0986 89.0986 89.0986

) ) ) ) ) ) )

= = = = = = =

0.9014 0.9014 0.9014 1.9014 0.9014 0.9014 0.9014

0.999876251 0.999876251 0.999876251 0.999449412 0.999876251 0.999876251 0.999876251

4.9988 7.9980 5.7986 9.4895 8.4979 8.4979 8.4979

α6

->

a b c d

= = = =

4.50 10.00 3.80 10.00

x x x x

Cos² Cos² Cos² Cos²

( ( ( (

90 90 90 91

-

92.3014 92.3014 97.0472 94.0986

) ) ) )

= = = =

-2.3014 -2.3014 -7.0472 -3.0986

0.999193422 0.999193422 0.992445372 0.998537981

4.4927 9.9839 3.7428 9.9708

e f g

= = =

8.00 10.00 15.00

x Cos² x Cos² x Cos²

( ( (

90 90 90

-

94.1000 94.1000 94.0986

) ) )

= = =

-4.1000 -4.1000 -4.0986

0.997440783 0.997440783 0.997442516

7.9591 9.9489 14.9234

α7

->

a b c d e f g

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x


( ( ( ( ( ( (

90 90 90 91 90 90 90

-

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

) ) ) ) ) ) )

= = = = = = =

1.0222 2.0222 2.0222 3.0222 2.0236 2.0236 2.0194

0.999840851 0.999377216 0.999377216 0.998609161 0.99937636 0.99937636 0.999378926

4.1987 7.4907 4.9938 7.9778 9.9875 4.9938 4.9938

α8

->

α9

->


= = = = = = = = = = = = = = = = = = = = = = = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00 4.00 7.00 3.00 6.00 1.00 4.00 6.00 6.00 10.50 4.00 9.00 8.00 8.00 2.00 5.00 10.00 5.00 10.00 9.50 10.50 13.00

x x x x x x x x x x x x x x x x x x x x x x x x x x x x

Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos² Cos²

( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( (

90 90 90 91 90 90 90 90 90 90 91 90 90 90 90 90 90 91 90 90 90 90 90 90 91 90 90 90

-

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653

) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )

= = = = = = = = = = = = = = = = = = = = = = = = = = = =

0.0097 0.0097 0.0097 1.0097 0.0097 0.0097 0.0097 1.3306 1.3306 1.3306 2.3306 1.3306 1.3306 1.3306 -1.1014 -1.1014 -1.1014 -0.1014 -1.1014 -1.1014 -1.1014 -0.9653 -0.9653 -0.9653 0.0347 -0.9653 -0.9653 -0.9653

0.999999986 0.999999986 0.999999986 0.999844719 0.999999986 0.999999986 0.999999986 0.999730368 0.999730368 0.999730368 0.999172851 0.999730368 0.999730368 0.999730368 0.999815246 0.999815246 0.999815246 0.999998434 0.999815246 0.999815246 0.999815246 0.999858088 0.999858088 0.999858088 0.999999816 0.999858088 0.999858088 0.999858088

3.5000 6.0000 4.0000 15.9950 5.0000 6.0000 10.0000 3.9978 6.9962 2.9984 5.9901 0.9995 3.9978 5.9968 5.9978 10.4961 3.9985 9.0000 7.9970 7.9970 1.9993 4.9986 9.9972 4.9986 10.0000 9.4973 10.4970 12.9963

α10 ->

α11 ->


x

sin αn det

D0

->

a b c d e f g

= = = = = = =

3.927183 9.719778 4.498432 10.49998 9.470037 10.46688 9.96846

x x x x x x x


305.2689 305.2689 125.2689 125.2689 63.8828 101.1453 150.2008

= = = = = = =

-3.2064 -7.9357 3.6728 8.5727 8.5031 10.2695 4.9539

D1

->

a b c d e f g

= = = = = = =

4.993268 9.986537 5.991922 9.496481 9.497735 9.497735 13.99616

x x x x x x x


30.8583 30.8597 210.8597 210.8597 266.8222 291.9306 275.1097

= = = = = = =

2.5611 5.1225 -3.0735 -4.8711 -9.4831 -8.8105 -13.9405

D2

->

a

=

6.466705 x

sin

65.5645

=

5.8875

b c d e f g

= = = = = =

2.988181 2.988181 5.3889 5.976362 5.478332 7.997148

x x x x x x


65.5645 245.5645 245.5645 232.8839 274.3367 282.8492

= = = = = =

2.7205 -2.7205 -4.9062 -4.7656 -5.4626 -7.7969

D3

->

a b c d e f g

= = = = = = =

2.998318 4.997196 4.497476 6.988161 4.997196 6.496355 5.996635

x x x x x x x


94.0442 94.1553 274.1553 274.1553 315.1595 331.0970 266.0331

= = = = = = =

2.9909 4.9841 -4.4857 -6.9698 -3.5237 -3.1399 -5.9823

D4

->

a b c d e f g

= = = = = = =

2.999311 5.498738 3.473751 5.935136 6.936341 7.369431 6.998115

x x x x x x x


226.1698 226.1698 46.1642 46.1642 100.3309 85.3962 57.5892

= = = = = = =

-2.1637 -3.9668 2.5057 4.2812 6.8239 7.3457 5.9080

D5

->

a b c d e f g

= = = = = = =

4.998763 7.99802 5.798565 9.489542 8.497896 8.497896 8.497896

x x x x x x x


130.7634 130.7634 310.7634 310.7634 281.3884 321.4009 17.5718

= = = = = = =

3.7861 6.0578 -4.3919 -7.1875 -8.3306 -5.3016 2.5655

D6

->

a b c d e f g

= = = = = = =

4.492744 9.983875 3.742802 9.970781 7.959105 9.948881 14.92337

x x x x x x x


225.1529 225.1529 45.1529 45.1529 321.1529 345.6487 3.1876

= = = = = = =

-3.1853 -7.0785 2.6536 7.0692 -4.9923 -2.4660 0.8298

D7

->

a b c d e f g

= = = = = = =

4.198663 7.490661 4.993774 7.977762 9.987531 4.993766 4.993791

x x x x x x x


120.3979 120.3979 300.3979 300.3979 308.6104 325.2354 0.2049

= = = = = = =

3.6215 6.4609 -4.3073 -6.8811 -7.8043 -2.8475 0.0179

D8

->

a b c d e f g

= = = = = = =

3.5000 6.000 4.000 15.995 5.000 6.000 10.000

x x x x x x x


326.1568 326.1568 146.1568 146.1568 108.0027 129.0110 148.6818

= = = = = = =

-1.9492 -3.3415 2.2277 8.9080 4.7552 4.6622 5.1979

D9

->

a b c d e f g

= = = = = = =

3.997843 6.996226 2.998382 5.990078 0.999461 3.997843 5.996765

x x x x x x x


317.9810 317.9810 137.9810 137.9810 120.5713 102.7213 82.6505

= = = = = = =

-2.6761 -4.6831 2.0070 4.0096 0.8605 3.8997 5.9475

D10 ->

a b c d e f g

= = = = = = =

5.997783 10.49612 3.998522 8.999972 7.997044 7.997044 1.999261

x x x x x x x


356.4122 356.4122 176.4122 176.4122 193.3163 227.4024 246.0205

= = = = = = =

-0.3753 -0.6568 0.2502 0.5632 -1.8419 -5.8868 -1.8267

D11 ->

a b c d e f g

= = = = = = =

4.998581 9.997162 4.998581 10.000 9.497304 10.49702 12.99631

x x x x x x x


310.6683 310.6683 130.6683 130.6683 153.8238 181.9058 232.3225

= = = = = = =

-3.7914 -7.5828 3.7914 7.5849 4.1896 -0.3491 -10.2861


x

cos αn det

D0

->

a b c d e f g

= = = = = = =

3.927183 9.719778 4.498432 10.49998 9.470037 10.46688 9.96846

x x x x x x x


305.2689 305.2689 125.2689 125.2689 63.8828 101.1453 150.2008

= = = = = = =

2.2676 5.6123 -2.5975 -6.0628 4.1688 -2.0232 -8.6504

D1

->

a b c d e f g

= = = = = = =

4.993268 9.986537 5.991922 9.496481 9.497735 9.497735 13.99616

x x x x x x x


30.8583 30.8597 210.8597 210.8597 266.8222 291.9306 275.1097

= = = = = = =

4.2864 8.5727 -5.1436 -8.1520 -0.5265 3.5472 1.2465

D2

->

a b c d e f g

= = = = = = =

6.466705 2.988181 2.988181 5.3889 5.976362 5.478332 7.997148

x x x x x x x


65.5645 65.5645 245.5645 245.5645 232.8839 274.3367 282.8492

= = = = = = =

2.6751 1.2361 -1.2361 -2.2292 -3.6063 0.4143 1.7785

D3

->

a b c d e f g

= = = = = = =

2.998318 4.997196 4.497476 6.988161 4.997196 6.496355 5.996635

x x x x x x x


94.0442 94.1553 274.1553 274.1553 315.1595 331.0970 266.0331

= = = = = = =

-0.2115 -0.3621 0.3259 0.5064 3.5434 5.6872 -0.4148

D4

->

a b c d e f g

= = = = = = =

2.999311 5.498738 3.473751 5.935136 6.936341 7.369431 6.998115

x x x x x x x


226.1698 226.1698 46.1642 46.1642 100.3309 85.3962 57.5892

= = = = = = =

-2.0771 -3.8080 2.4059 4.1106 -1.2439 0.5915 3.7509

D5

->

a b

= =

4.998763 x 7.99802 x

cos cos

130.7634 130.7634

= =

-3.2639 -5.2222

c d e f g

= = = = =

5.798565 9.489542 8.497896 8.497896 8.497896

x x x x x

cos cos cos cos cos

310.7634 310.7634 281.3884 321.4009 17.5718

= = = = =

3.7861 6.1961 1.6780 6.6414 8.1014

D6

->

a b c d e f g

= = = = = = =

4.492744 9.983875 3.742802 9.970781 7.959105 9.948881 14.92337

x x x x x x x


225.1529 225.1529 45.1529 45.1529 321.1529 345.6487 3.1876

= = = = = = =

-3.1684 -7.0408 2.6395 7.0316 6.1987 9.6384 14.9003

D7

->

a b c d e f g

= = = = = = =

4.198663 7.490661 4.993774 7.977762 9.987531 4.993766 4.993791

x x x x x x x


120.3979 120.3979 300.3979 300.3979 308.6104 325.2354 0.2049

= = = = = = =

-2.1245 -3.7903 2.5269 4.0368 6.2324 4.1024 4.9938

D8

->

a b c d e f g

= = = = = = =

3.5 6 4 15.99503 5 6 10

x x x x x x x


326.1568 326.1568 146.1568 146.1568 108.0027 129.0110 148.6818

= = = = = = =

2.9070 4.9834 -3.3223 -13.2849 -1.5453 -3.7768 -8.5429

D9

->

a b c d e f g

= = = = = = =

3.997843 6.996226 2.998382 5.990078 0.999461 3.997843 5.996765

x x x x x x x


317.9810 317.9810 137.9810 137.9810 120.5713 102.7213 82.6505

= = = = = = =

2.9701 5.1977 -2.2276 -4.4502 -0.5083 -0.8804 0.7671

D10 ->

a b c d e f g

= = = = = = =

5.997783 10.49612 3.998522 8.999972 7.997044 7.997044 1.999261

x x x x x x x


356.4122 356.4122 176.4122 176.4122 193.3163 227.4024 246.0205

= = = = = = =

5.9860 10.4755 -3.9907 -8.9823 -7.7820 -5.4128 -0.8125

D11 ->

a b c d e f g

= = = = = = =

4.998581 9.997162 4.998581 9.999996 9.497304 10.49702 12.99631

x x x x x x x


310.6683 310.6683 130.6683 130.6683 153.8238 181.9058 232.3225

= = = = = = =

3.2575 6.5149 -3.2575 -6.5168 -8.5233 -10.4912 -7.9436

Perhitungan koordinat horizontal detail Rumus : Xn ± DXn det Xn det = X0

->

a b c d e

= = = = =

62.5583 62.5583 62.5583 62.5583 62.5583

+ + + + +

-3.2064 -7.9357 3.6728 8.5727 8.5031

= = = = =

59.3520 54.6226 66.2311 71.1310 71.0614

f = g =

62.5583 62.5583

+ +

10.2695 4.9539

= =

72.8278 67.5123

X1

->

a b c d e f g

= = = = = = =

122.8000 122.8000 122.8000 122.8000 122.8000 122.8000 122.8000

+ + + + + + +

2.5611 5.1225 -3.0735 -4.8711 -9.4831 -8.8105 -13.9405

= = = = = = =

125.3611 127.9225 119.7265 117.9289 113.3169 113.9895 108.8595

X2

->

a b c d e f g

= = = = = = =

164.4902 164.4902 164.4902 164.4902 164.4902 164.4902 164.4902

+ + + + + + +

5.8875 2.7205 -2.7205 -4.9062 -4.7656 -5.4626 -7.7969

= = = = = = =

170.3777 167.2108 161.7697 159.5840 159.7246 159.0276 156.6934

X3

->

a b c d e f g

= = = = = = =

164.3092 164.3092 164.3092 164.3092 164.3092 164.3092 164.3092

+ + + + + + +

2.9909 4.9841 -4.4857 -6.9698 -3.5237 -3.1399 -5.9823

= = = = = = =

167.3001 169.2933 159.8235 157.3394 160.7855 161.1693 158.3269

X4

->

a b c d e f g

= = = = = = =

157.0892 157.0892 157.0892 157.0892 157.0892 157.0892 157.0892

+ + + + + + +

-2.1637 -3.9668 2.5057 4.2812 6.8239 7.3457 5.9080

= = = = = = =

154.9255 153.1224 159.5949 161.3704 163.9131 164.4348 162.9972

X5

->

a b c d e f g

= = = = = = =

60.2305 60.2305 60.2305 60.2305 60.2305 60.2305 60.2305

+ + + + + + +

3.7861 6.0578 -4.3919 -7.1875 -8.3306 -5.3016 2.5655

= = = = = = =

64.0166 66.2883 55.8386 53.0430 51.8999 54.9290 62.7960

X6

->

a b c d e f g

= = = = = = =

58.7235 58.7235 58.7235 58.7235 58.7235 58.7235 58.7235

+ + + + + + +

-3.1853 -7.0785 2.6536 7.0692 -4.9923 -2.4660 0.8298

= = = = = = =

55.5382 51.6451 61.3771 65.7927 53.7312 56.2575 59.5534

X7

->

a b c d e f g

= = = = = = =

0.3714 0.3714 0.3714 0.3714 0.3714 0.3714 0.3714

+ + + + + + +

3.6215 6.4609 -4.3073 -6.8811 -7.8043 -2.8475 0.0179

= = = = = = =

3.9929 6.8323 -3.9359 -6.5097 -7.4330 -2.4761 0.3892

X8

->

a b c d

= = = =

-29.8017 -29.8017 -29.8017 -29.8017

+ + + +

-1.9492 -3.3415 2.2277 8.9080

= = = =

-31.7510 -33.1433 -27.5740 -20.8937

e = f = g =

-29.8017 -29.8017 -29.8017

+ + +

4.7552 4.6622 5.1979

= = =

-25.0465 -25.1396 -24.6038

->

a b c d e f g

= = = = = = =

-28.3484 -28.3484 -28.3484 -28.3484 -28.3484 -28.3484 -28.3484

+ + + + + + +

-2.6761 -4.6831 2.0070 4.0096 0.8605 3.8997 5.9475

= = = = = = =

-31.0244 -33.0315 -26.3413 -24.3388 -27.4878 -24.4487 -22.4009

X10 ->

a b c d e f g

= = = = = = =

-42.4236 -42.4236 -42.4236 -42.4236 -42.4236 -42.4236 -42.4236

+ + + + + + +

-0.3753 -0.6568 0.2502 0.5632 -1.8419 -5.8868 -1.8267

= = = = = = =

-42.7989 -43.0804 -42.1733 -41.8603 -44.2655 -48.3104 -44.2503

X11 ->

a b c d e f g

= = = = = = =

6.2028 6.2028 6.2028 6.2028 6.2028 6.2028 6.2028

+ + + + + + +

-3.7914 -7.5828 3.7914 7.5849 4.1896 -0.3491 -10.2861

= = = = = = =

2.4114 -1.3800 9.9942 13.7877 10.3923 5.8537 -4.0833

X9

Perhitungan koordinat vertikal detail Rumus : Yn ± DYn det Yn det = Y0

->

a b c d e f g

= = = = = = =

8.5560 8.5560 8.5560 8.5560 8.5560 8.5560 8.5560

+ + + + + + +

2.2676 5.6123 -2.5975 -6.0628 4.1688 -2.0232 -8.6504

= = = = = = =

10.8236 14.1683 5.9585 2.4932 12.7248 6.5328 -0.0944

Y1

->

a b c d e f g

= = = = = = =

-3.9900 -3.9900 -3.9900 -3.9900 -3.9900 -3.9900 -3.9900

+ + + + + + +

4.2864 8.5727 -5.1436 -8.1520 -0.5265 3.5472 1.2465

= = = = = = =

0.2964 4.5827 -9.1336 -12.1420 -4.5165 -0.4428 -2.7435

Y2

->

a b c d e f g

= = = = = = =

-33.9120 -33.9120 -33.9120 -33.9120 -33.9120 -33.9120 -33.9120

+ + + + + + +

2.6751 1.2361 -1.2361 -2.2292 -3.6063 0.4143 1.7785

= = = = = = =

-31.2369 -32.6759 -35.1481 -36.1412 -37.5183 -33.4977 -32.1335

Y3

->

a b c d e f

= = = = = =

-56.7583 -56.7583 -56.7583 -56.7583 -56.7583 -56.7583

+ + + + + +

-0.2115 -0.3621 0.3259 0.5064 3.5434 5.6872

= = = = = =

-56.9698 -57.1204 -56.4325 -56.2520 -53.2150 -51.0712

g =

-56.7583

+

-0.4148

=

-57.1732

Y4

->

a b c d e f g

= = = = = = =

-111.5752 -111.5752 -111.5752 -111.5752 -111.5752 -111.5752 -111.5752

+ + + + + + +

-2.0771 -3.8080 2.4059 4.1106 -1.2439 0.5915 3.7509

= = = = = = =

-113.6523 -115.3832 -109.1693 -107.4646 -112.8191 -110.9837 -107.8243

Y5

->

a b c d e f g

= = = = = = =

-85.7139 -85.7139 -85.7139 -85.7139 -85.7139 -85.7139 -85.7139

+ + + + + + +

-3.2639 -5.2222 3.7861 6.1961 1.6780 6.6414 8.1014

= = = = = = =

-88.9778 -90.9361 -81.9278 -79.5178 -84.0359 -79.0725 -77.6125

Y6

->

a b c d e f g

= = = = = = =

-85.9575 -85.9575 -85.9575 -85.9575 -85.9575 -85.9575 -85.9575

+ + + + + + +

-3.1684 -7.0408 2.6395 7.0316 6.1987 9.6384 14.9003

= = = = = = =

-89.1259 -92.9983 -83.3180 -78.9259 -79.7588 -76.3191 -71.0572

Y7

->

a b c d e f g

= = = = = = =

-82.8713 -82.8713 -82.8713 -82.8713 -82.8713 -82.8713 -82.8713

+ + + + + + +

-2.1245 -3.7903 2.5269 4.0368 6.2324 4.1024 4.9938

= = = = = = =

-84.9959 -86.6616 -80.3445 -78.8346 -76.6389 -78.7689 -77.8776

Y8

->

a b c d e f g

= = = = = = =

-77.4618 -77.4618 -77.4618 -77.4618 -77.4618 -77.4618 -77.4618

+ + + + + + +

2.9070 4.9834 -3.3223 -13.2849 -1.5453 -3.7768 -8.5429

= = = = = = =

-74.5548 -72.4784 -80.7840 -90.7467 -79.0071 -81.2386 -86.0047

Y9

->

a b c d e f g

= = = = = = =

-32.8539 -32.8539 -32.8539 -32.8539 -32.8539 -32.8539 -32.8539

+ + + + + + +

2.9701 5.1977 -2.2276 -4.4502 -0.5083 -0.8804 0.7671

= = = = = = =

-29.8838 -27.6562 -35.0814 -37.3040 -33.3622 -33.7342 -32.0867

Y10

->

a b c d e f g

= = = = = = =

10.5627 10.5627 10.5627 10.5627 10.5627 10.5627 10.5627

+ + + + + + +

5.9860 10.4755 -3.9907 -8.9823 -7.7820 -5.4128 -0.8125

= = = = = = =

16.5487 21.0383 6.5720 1.5804 2.7807 5.1500 9.7502

Y11

->

a b c d e

= = = = =

9.2859 9.2859 9.2859 9.2859 9.2859

+ + + + +

3.2575 6.5149 -3.2575 -6.5168 -8.5233

= = = = =

12.5434 15.8009 6.0285 2.7692 0.7627

f = g =

9.2859 9.2859

+ +

-10.4912 -7.9436

= =

-1.2053 1.3424

Perhitungan Beda Tinggi Patok Detail Rumus : = D0det 1/2 sin 2 (90°-γ) + (Tpswt - Bt) ∆Hn

∆H P0

a b c d e f g

= = = = = = =

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.300 1.300 1.300 1.300 1.300 1.300 1.300

-

0.6000 4.9100 1.0375 0.9200 0.6650 0.5500 0.5600

) ) ) ) ) ) )

= = = = = = =

∆H P1

a b c d e f g

= = = = = = =

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.270 1.270 1.270 1.270 1.270 1.270 1.270

-

0.9400 0.7300 1.1100 0.9150 1.2850 1.2650 0.8000

) ) ) ) ) ) )

= = = = = = =

∆H P2

a b c d e f g

= = = = = = =

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.450 1.450 1.450 1.450 1.450 1.450 1.450

-

0.9050 1.0250 1.2950 1.2150 1.0000 1.0100 1.6780

) ) ) ) ) ) )

= = = = = = =

∆H P3

a b c d e f g

= = = = = = =

3.00 5.00 4.50 7.00 5.00 6.50 6.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

88.6431 88.6431 88.6431 88.6431 88.6431 88.6431 88.6431

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.450 1.450 1.450 1.450 1.450 1.450 1.450

-

1.150 1.165 1.255 1.23 1.26 1.35 1.275

) ) ) ) ) ) )

= = = = = = =

∆H P4

a b c d e f g

= = = = = = =

3.00 5.50 3.50 6.00 7.00 7.50 7.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

90.8681 90.8681 85.0319 85.0319 84.5278 82.4181 89.0597

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.240 1.240 1.240 1.240 1.240 1.240 1.240

-

1.110 1.105 1.52 1.72 1.9 2.32 1.23

) ) ) ) ) ) )

= = = = = = =

∆H P5

a b c d e f g

= = = = = = =

5.00 8.00 5.80 9.50 8.50 8.50 8.50

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

89.0986 89.0986 89.0986 89.0986 89.0986 89.0986 89.0986

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.310 1.310 1.310 1.310 1.310 1.310 1.310

-

1.455 1.54 1.76 1.435 1.46 1.555 1.595

) ) ) ) ) ) )

= = = = = = =

∆H P6

a b c d e f

= = = = = =

4.50 10.00 3.80 10.00 8.00 10.00

x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x


( ( ( ( ( (

90 90 90 90 90 90

° ° ° ° ° °

-

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000

) ) ) ) ) )

+ + + + + +

( ( ( ( ( (

1.360 1.360 1.360 1.360 1.360 1.360

-

0.910 0.46 0.985 1.9 0.89 0.785

) ) ) ) ) )

= = = = = =

g =

15.00

x

0.5 x

sin 2

(

90 °

-

94.0986

)

+

(

1.360

-

0.535

)

=

∆H P7

a b c d e f g

= = = = = = =

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.290 1.290 1.290 1.290 1.290 1.290 1.290

-

1.380 1.402 1.525 1.66 1.709 1.67 1.546

) ) ) ) ) ) )

= = = = = = =

∆H P8

a b c d e f g

= = = = = = =

3.50 6.00 4.00 16.00 5.00 6.00 10.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.310 1.310 1.310 1.310 1.310 1.310 1.310

-

1.118 1.35 0.805 1.225 1.365 1.24 1.18

) ) ) ) ) ) )

= = = = = = =

∆H P9

a b c d e f g

= = = = = = =

4.00 7.00 3.00 6.00 1.00 4.00 6.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.390 1.390 1.390 1.390 1.390 1.390 1.390

-

1.410 1.43 1.39 1.37 1.155 1.025 1.22

) ) ) ) ) ) )

= = = = = = =

∆H P10

a b c d e f g

= = = = = = =

6.00 10.50 4.00 9.00 8.00 8.00 2.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.400 1.400 1.400 1.400 1.400 1.400 1.400

-

2.030 1.93 1.095 0.97 0.94 1.3 1.28

) ) ) ) ) ) )

= = = = = = =

∆H P11

a b c d e f g

= = = = = = =

5.00 10.00 5.00 10.00 9.50 10.50 13.00

x x x x x x x

0.5 0.5 0.5 0.5 0.5 0.5 0.5

x x x x x x x


( ( ( ( ( ( (

90 90 90 90 90 90 90

° ° ° ° ° ° °

-

90.9653 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653

) ) ) ) ) ) )

+ + + + + + +

( ( ( ( ( ( (

1.360 1.360 1.360 1.360 1.360 1.360 1.360

-

1.385 1.55 1.1 0.96 0.9 0.85 0.91

) ) ) ) ) ) )

= = = = = = =


∆H det

P0

a b c d e f g

= = = = = = =


+ + + + + + +

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

= = = = = = =


P1

a b c d e f g

= = = = = = =

20.4000 20.4000 20.4000 20.4000 20.4000 20.4000 20.4000

+ + + + + + +

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

= = = = = = =

20.5467 20.5733 20.3400 20.4067 20.5317 20.5517 20.6383

P2

a =

#REF!

+

0.0810

=

#REF!

b c d e f g

= = = = = =


+ + + + + +

0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

= = = = = =


P3

a b c d e f g

= = = = = = =


+ + + + + + +

0.3710 0.4034 0.3015 0.3857 0.3084 0.2539 0.3170

= = = = = = =


P4

a b c d e f g

= = = = = = =


+ + + + + + +

0.0846 0.0517 0.0220 0.0376 0.0045 -0.0991 0.1249

= = = = = = =


P5

a b c d e f g

= = = = = = =


+ + + + + + +

-0.0664 -0.1042 -0.3588 0.0244 -0.0163 -0.1113 -0.1513

= = = = = = =


P6

a b c d e f g

= = = = = = =


+ + + + + + +

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381 -0.2444

= = = = = = =


P7

a b c d e f g

= = = = = = =


+ + + + + + +

-0.0151 0.1525 -0.0587 -0.0879 -0.0661 -0.2036 -0.0799

= = = = = = =


P8

a b c d e f g

= = = = = = =


+ + + + + + +

0.1926 -0.0390 0.5057 0.0877 -0.0542 0.0710 0.1317

= = = = = = =


P9

a b c d e f g

= = = = = = =


+ + + + + + +

0.0729 0.1225 0.0696 0.1593 0.2582 0.4579 0.3093

= = = = = = =


P10

a b c d e f g

= = = = = = =


+ + + + + + +

-0.7453 -0.7318 0.2281 0.2570 0.3063 -0.0537 0.0816

= = = = = = =


P11

a b c d e f g

= = = = = = =


+ + + + + + +

-0.1092 -0.3584 0.1758 0.2316 0.3000 0.3331 0.2310

= = = = = = =


Perhitungan kemiringan lereng patok detail Rumus : \ P n det = / ∆ Hn det

D0n det

x

100%

\P0

a b c d e f g

= = = = = = =

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

/ / / / / / /

4.00 9.90 4.50 10.50 9.50 10.50 10.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

4.1311 -49.8336 3.9672 1.7529 1.0770 1.5357 1.7928

% % % % % % %

\P1

a b c d e f g

= = = = = = =

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

/ / / / / / /

5.00 10.00 6.00 9.50 9.50 9.50 14.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

2.9333 1.7333 -1.0001 0.0701 1.3860 1.5965 1.7018

% % % % % % %

\P2

a b c d e f g

= = = = = = =

0.0810 0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

/ / / / / / /

6.50 3.00 3.00 5.40 6.00 5.50 8.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

1.2460 7.9024 -1.0976 -1.9124 1.2357 1.7357 -0.9621

% % % % % % %

\P3

a b c d e f g

= = = = = = =

0.3710 0.4034 0.3015 0.3857 0.3084 0.2539 0.3170

/ / / / / / /

3.00 5.00 4.50 7.00 5.00 6.50 6.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

12.3674 8.0674 6.7008 5.5103 6.1674 3.9059 5.2841

% % % % % % %

\P4

a b c d e f g

= = = = = = =

0.0846 0.0517 0.0220 0.0376 0.0045 -0.0991 0.1249

/ / / / / / /

3.00 5.50 3.50 6.00 7.00 7.50 7.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

2.8185 0.9397 0.6275 0.6275 0.0643 -1.3210 1.7837

% % % % % % %

\P5

a = b = c =

-0.0664 -0.1042 -0.3588

/ / /

5.00 8.00 5.80

x x x

100% 100% 100%

= = =

-1.3270 -1.3020 -6.1857

% % %

d e f g

= = = =

0.0244 -0.0163 -0.1113 -0.1513

/ / / /

9.50 8.50 8.50 8.50

x x x x

100% 100% 100% 100%

= = = =

0.2572 -0.1917 -1.3094 -1.7800

% % % %

\P6

a b c d e f g

= = = = = = =

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381 -0.2444

/ / / / / / /

4.50 10.00 3.80 10.00 8.00 10.00 15.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

5.9876 4.9876 -2.3076 -12.5290 -1.2564 -1.3814 -1.6290

% % % % % % %

\P7

a b c d e f g

= = = = = = =

-0.0151 0.1525 -0.0587 -0.0879 -0.0661 -0.2036 -0.0799

/ / / / / / /

4.20 7.50 5.00 8.00 10.00 5.00 5.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

-0.3591 2.0332 -1.1735 -1.0985 -0.6611 -4.0711 -1.5983

% % % % % % %

\P8

a b c d e f g

= = = = = = =

0.1926 -0.0390 0.5057 0.0877 -0.0542 0.0710 0.1317

/ / / / / / /

3.50 6.00 4.00 16.00 5.00 6.00 10.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

5.5027 -0.6497 12.6420 0.5482 -1.0830 1.1836 1.3170

% % % % % % %

\P9

a b c d e f g

= = = = = = =

0.0729 0.1225 0.0696 0.1593 0.2582 0.4579 0.3093

/ / / / / / /

4.00 7.00 3.00 6.00 1.00 4.00 6.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

1.8214 1.7500 2.3214 2.6548 25.8214 11.4464 5.1548

% % % % % % %

\P10

a b c d e f g

= = = = = = =

-0.7453 -0.7318 0.2281 0.2570 0.3063 -0.0537 0.0816

/ / / / / / /

6.00 10.50 4.00 9.00 8.00 8.00 2.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

-12.4218 -6.9694 5.7032 2.8560 3.8282 -0.6718 4.0782

% % % % % % %

\P11

a b c d e f g

= = = = = = =

-0.1092 -0.3584 0.1758 0.2316 0.3000 0.3331 0.2310

/ / / / / / /

5.00 10.00 5.00 10.00 9.50 10.50 13.00

x x x x x x x

100% 100% 100% 100% 100% 100% 100%

= = = = = = =

-2.1844 -3.5844 3.5156 2.3156 3.1577 3.1727 1.7771

% % % % % % %

etentuan dari asisten nilai alfa u! 42 40 "

=

120.7111

+

-180

=

179.0381

+

-180

=

186.7192

+

-180

=

290.2101

+

-180

=

265.5745

+

-180

=

278.1529

+

-180

=

285.3979

+

-180

=

363.1568

+

-180

=

344.9810

+

-180

=

446.4122

+

-180

=

445.6683

+

-180

=

456.5175

+

-180

=

480.7111

=

120.7111

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764

) ) ) ) ) ) ) ) )

= = = = = = = = =

( 90°-γ ) -1.4569 -0.4028 -0.3833 0.5000 7.5764 1.2486 -0.8778 0.0097 1.5236

90.5944

)

=

-0.5944

Controling Cabin

360.0000 -

96.5175

360.0000

0.0000

Congratulation

0.0000

(90°-γ cos ) 0.99967671 0.99997529 0.99997762 0.99996192 0.99126996 0.99976256 0.99988265 0.99999999 0.99964645

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650

0.99994618

49.9946

89.4583

)

=

0.5417

0.99995531

57.9948

59.9800 91.4569 ΣDpn

) )

= = =

30.0200 -1.4569

0.86585082 0.99967671

62.2249 49.9677 580.2755

rumus…^_^ Good Luck!

m

g Cabin

lation ^_^

(90°-γ) -1.4569 -0.4028 -0.3833 0.5000 7.5764 1.2486 -0.8778 0.0097 1.5236 -0.5944 0.5417 #REF!

2 x (90°-γ) -2.913888889 -0.805555556 -0.766666667 1 15.15277778 2.497222222 -1.755555556 0.019444444 3.047222222 -1.188888889 1.083333333 #REF!

sin

2 x

(90°-γ) -0.050835035 -0.014059134 -0.013380458 0.017452406 0.261393739 0.043570952 -0.030635431 0.00033937 0.053158992 -0.020748537 0.018906607 #REF! Σ∆Hn

=

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 #REF! #REF!

m m m m m m m m m m m m m

= = = = = = =


= = = = =


Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y0 Y1

= = = = = = = = = = = = =

-3.99 -33.9120 -56.7583 -111.5752 -85.7139 -85.9575 -82.8713 -77.4618 -32.8539 10.5627 9.2859 8.5560 -3.9900

X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 X0 X1

= = = = = = = = = = = = =

122.8 164.4902 164.3092 157.0892 60.2305 58.7235 0.3714 -29.8017 -28.3484 -42.4236 6.2028 62.5583 122.8000

### ### ### ### ### ### ### ### ### ### ### ###


28 28 208 208 147 184 233

° ° ° ° ° ° °

Beta det =

90

°


GANTI INI SESUAI DENGAN DATA U! 45 5 " 45 5 " 45 5 " 45 5 " 21 55 " 37 40 " 41 0 " 8

50

"

= = = = = = =

28.7514 28.7514 208.7514 208.7514 147.3653 184.6278 233.6833

=

90.1472



90 270 270 326 351 334

° ° ° ° ° °

8 8 8 6 13 23

55 55 55 40 10 55

" " " " " "

= = = = = =

90.1486 270.1486 270.1486 326.1111 351.2194 334.3986



66 66 246 246 233 275 283

° ° ° ° ° ° °

31 31 31 31 50 17 48

35 35 35 35 45 55 40

" " " " " " "

= = = = = = =

66.5264 66.5264 246.5264 246.5264 233.8458 275.2986 283.8111



87 87 267 267 308 324 259

° ° ° ° ° ° °

19 26 26 26 26 22 18

30 10 10 10 25 40 50

" " " " " " "

= = = = = = =

87.3250 87.4361 267.4361 267.4361 308.4403 324.3778 259.3139



115 115 295 295 350 335 307

° ° ° ° ° ° °

57 57 57 57 7 11 22

35 35 15 15 15 10 45

" " " " " " "

= = = = = = =

115.9597 115.9597 295.9542 295.9542 350.1208 335.1861 307.3792



45 45 225 225 195 235 291

° ° ° ° ° ° °

11 11 11 11 48 49 59

20 20 20 20 50 35 50

" " " " " " "

= = = = = = =

45.1889 45.1889 225.1889 225.1889 195.8139 235.8264 291.9972



127 127 307 307 223 247 265

° ° ° ° ° ° °

0 0 0 0 0 29 2

0 0 0 0 0 45 5

" " " " " " "

= = = = = = =

127.0000 127.0000 307.0000 307.0000 223.0000 247.4958 265.0347



15 15 195 195 203 219 254

° ° ° ° ° ° °

0 0 0 0 12 50 48

0 0 0 0 45 15 25

" " " " " " "

= = = = = = =

15.0000 15.0000 195.0000 195.0000 203.2125 219.8375 254.8069



143 143 323 323 284 305 325

° ° ° ° ° ° °

0 0 0 0 50 51 31

0 0 0 0 45 15 30

" " " " " " "

= = = = = = =

143.0000 143.0000 323.0000 323.0000 284.8458 305.8542 325.5250



153 153 333 333 315 297 277

° ° ° ° ° ° °

0 0 0 0 35 44 40

0 0 0 0 25 25 10

" " " " " " "

= = = = = = =

153.0000 153.0000 333.0000 333.0000 315.5903 297.7403 277.6694



90 90 270 270 286 320 339

° ° ° ° ° ° °

0 0 0 0 54 59 36

0 0 0 0 15 25 30

" " " " " " "

= = = = = = =

90.0000 90.0000 270.0000 270.0000 286.9042 320.9903 339.6083



45 45 225 225 248 276 326

° ° ° ° ° ° °

0 0 0 0 9 14 39

0 0 0 0 20 15 15

" " " " " " "

= = = = = = =

45.0000 45.0000 225.0000 225.0000 248.1556 276.2375 326.6542


a b c d e f g

= = = = = = =

97 97 91 91 93 93 93

° ° ° ° ° ° °



a b c d e f g

= = = = = = =

92 92 92 92 89 89 90

° ° ° ° ° ° °

6 6 6 6 6 6 56

10 10 10 10 55 55 55

" " " " " " "

= = = = = = =

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486


a b c d e f g

= = = = = = =

94 93 93 93 93 93 88

° ° ° ° ° ° °

6 35 35 35 35 35 55

15 55 55 55 55 55 5

" " " " " " "

= = = = = = =

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181


a b c d e f g

= = = = = = =

88 88 88 88 88 88 88

° ° ° ° ° ° °

38 38 38 38 38 38 38

35 35 35 35 35 35 35

" " " " " " "

= = = = = = =

88.6431 88.6431 88.6431 88.6431 88.6431 88.6431 88.6431


a b c d e f g

= = = = = = =

90 90 85 85 84 82 89

° ° ° ° ° ° °

52 52 1 1 31 25 3

5 5 55 55 40 5 35

" " " " " " "

= = = = = = =

90.8681 90.8681 85.0319 85.0319 84.5278 82.4181 89.0597


a b c d e f g

= = = = = = =

89 89 89 89 89 89 89

° ° ° ° ° ° °

5 5 5 5 5 5 5

55 55 55 55 55 55 55

" " " " " " "

= = = = = = =

89.0986 89.0986 89.0986 89.0986 89.0986 89.0986 89.0986

alfa alfa alfa alfa

a b c d

= = = =

92 92 97 94

° ° ° °

18 18 2 5

5 5 50 55

" " " "

= = = =

92.3014 92.3014 97.0472 94.0986

= = = = = = =

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

alfa e alfa f alfa g

= = =

94 94 94

° ° °

6 6 5

0 0 55

" " "

= = =

94.1000 94.1000 94.0986


a b c d e f g

= = = = = = =

88 87 87 87 87 87 87

° ° ° ° ° ° °

58 58 58 58 58 58 58

40 40 40 40 35 35 50

" " " " " " "

= = = = = = =

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa alfa


= = = = = = = = = = = = = = = = = = = = = = = = = = = =

89 89 89 89 89 89 89 88 88 88 88 88 88 88 91 91 91 91 91 91 91 90 90 90 90 90 90 90

° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° ° °

59 59 59 59 59 59 59 40 40 40 40 40 40 40 6 6 6 6 6 6 6 57 57 57 57 57 57 57

25 25 25 25 25 25 25 10 10 10 10 10 10 10 5 5 5 5 5 5 5 55 55 55 55 55 55 55

" " " " " " " " " " " " " " " " " " " " " " " " " " " "

= = = = = = = = = = = = = = = = = = = = = = = = = = = =

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653

(90°-γ)

2 x

-7.7542 -7.7542 -1.0694 -1.0694 -3.2194 -3.2194 -3.2194

-15.50833333 -15.50833333 -2.138888889 -2.138888889 -6.438888889 -6.438888889 -6.438888889

-0.267378528 -0.267378528 -0.037321984 -0.037321984 -0.112143416 -0.112143416 -0.112143416

= = = = = = =

0.1652 -4.9335 0.1785 0.1841 0.1023 0.1612 0.1793

m

-2.1028 -2.1028 -2.1028 -2.1028 0.8847 0.8847 -0.9486

-4.205555556 -4.205555556 -4.205555556 -4.205555556 1.769444444 1.769444444 -1.897222222

-0.073334899 -0.073334899 -0.073334899 -0.073334899 0.030877723 0.030877723 -0.033106724

= = = = = = =

0.1467 0.1733 -0.0600 0.0067 0.1317 0.1517 0.2383

-4.1042 -3.5986 -3.5986 -3.5986 -3.5986 -3.5986 1.0819

-8.208333333 -7.197222222 -7.197222222 -7.197222222 -7.197222222 -7.197222222 2.163888889

-0.142772889 -0.125285134 -0.125285134 -0.125285134 -0.125285134 -0.125285134 0.037758008

= = = = = = =

1.3569 1.3569 1.3569 1.3569 1.3569 1.3569 1.3569

2.713888889 2.713888889 2.713888889 2.713888889 2.713888889 2.713888889 2.713888889

0.047348587 0.047348587 0.047348587 0.047348587 0.047348587 0.047348587 0.047348587

-0.8681 -0.8681 4.9681 4.9681 5.4722 7.5819 0.9403

-1.736111111 -1.736111111 9.936111111 9.936111111 10.94444444 15.16388889 1.880555556

0.9014 0.9014 0.9014 0.9014 0.9014 0.9014 0.9014 -2.3014 -2.3014 -7.0472 -4.0986 -4.1000 -4.1000

(90°-γ)

sin

2 x

(90°-γ) alfa a alfa alfa alfa alfa alfa alfa

b c d e f g

= = = = = = =

97 97 91 91 93 93 93

° ° ° ° ° ° °

45 45 4 4 13 13 13

m


a b c d e f g

= = = = = = =

92 92 92 92 89 89 90

° ° ° ° ° ° °

6 6 6 6 6 6 56

0.0810 0.2371 -0.0329 -0.1033 0.0741 0.0955 -0.0770

m


a b c d e f g

= = = = = = =

94 93 93 93 93 93 88

° ° ° ° ° ° °

6 35 35 35 35 35 55

= = = = = = =

0.3710 0.4034 0.3015 0.3857 0.3084 0.2539 0.3170

m


a b c d e f g

= = = = = = =

88 88 88 88 88 88 88

° ° ° ° ° ° °

38 38 38 38 38 38 38

-0.030296219 -0.030296219 0.172549939 0.172549939 0.189857093 0.261580917 0.032815993

= = = = = = =

0.0846 0.0517 0.0220 0.0376 0.0045 -0.0991 0.1249

m


a b c d e f g

= = = = = = =

90 90 85 85 84 82 89

° ° ° ° ° ° °

52 52 1 1 31 25 3

1.802777778 1.802777778 1.802777778 1.802777778 1.802777778 1.802777778 1.802777778

0.031459216 0.031459216 0.031459216 0.031459216 0.031459216 0.031459216 0.031459216

= = = = = = =

-0.0664 -0.1042 -0.3588 0.0244 -0.0163 -0.1113 -0.1513

m


a b c d e f g

= = = = = = =

89 89 89 89 89 89 89

° ° ° ° ° ° °

5 5 5 5 5 5 5

-4.602777778 -4.602777778 -14.09444444 -8.197222222 - 8 .2 - 8 .2

-0.080247249 -0.080247249 -0.243520969 -0.142580948 -0.142628934 -0.142628934

= = = = = =

0.2694 0.4988 -0.0877 -1.2529 -0.1005 -0.1381

m


a b c d e f

= = = = = =

92 92 97 94 94 94

° ° ° ° ° °

18 18 2 5 6 6

-4.0986

-8.197222222

-0.142580948

=

-0.2444

alfa g

=

94

°

5

1.0222 2.0222 2.0222 2.0222 2.0236 2.0236 2.0194

2.044444444 4.044444444 4.044444444 4.044444444 4.047222222 4.047222222 4.038888889

0.035674715 0.070530265 0.070530265 0.070530265 0.070578626 0.070578626 0.070433543

= = = = = = =

-0.0151 0.1525 -0.0587 -0.0879 -0.0661 -0.2036 -0.0799

m


a b c d e f g

= = = = = = =

88 87 87 87 87 87 87

° ° ° ° ° ° °

58 58 58 58 58 58 58

0.0097 0.0097 0.0097 0.0097 0.0097 0.0097 0.0097

0.019444444 0.019444444 0.019444444 0.019444444 0.019444444 0.019444444 0.019444444

0.00033937 0. 0 .00033937 0.00033937 0. 0 .00033937 0.00033937 0.00033937 0. 0 .00033937

= = = = = = =

0.1926 -0.0390 0.5057 0.0877 -0.0542 0.0710 0.1317

m


a b c d e f g

= = = = = = =

89 89 89 89 89 89 89

° ° ° ° ° ° °

59 59 59 59 59 59 59

1.3306 1.3306 1.3306 1.3306 1.3306 1.3306 1.3306

2.661111111 2.661111111 2.661111111 2.661111111 2.661111111 2.661111111 2.661111111

0.046428454 0.046428454 0.046428454 0.046428454 0.046428454 0.046428454 0.046428454

= = = = = = =

0.0729 0.1225 0.0696 0.1593 0.2582 0.4579 0.3093

m


a b c d e f g

= = = = = = =

88 88 88 88 88 88 88

° ° ° ° ° ° °

40 40 40 40 40 40 40

-1.1014 -1.1014 -1.1014 -1.1014 -1.1014 -1.1014 -1.1014

-2.202777778 -2.2 -2.202 0277 7777 7778 78 -2.202777778 -2.202777778 -2.202777778 -2.202777778 -2.202777778

-0.038436255 -0.0 -0.038 3843 4362 6255 55 -0.038436255 -0.038436255 -0.038436255 -0.038436255 -0.038436255

= = = = = = =

-0.7453 -0.7318 0.2281 0.2570 0.3063 -0.0537 0.0816

m


a b c d e f g

= = = = = = =

91 91 91 91 91 91 91

° ° ° ° ° ° °

6 6 6 6 6 6 6

-0.9653 -0.9653 -0.9653 -0.9653 -0.9653 -0.9653 -0.9653

-1.930555556 -1.930555556 -1.930555556 -1.930555556 -1.930555556 -1.930555556 -1.930555556

-0.033688176 -0.033688176 -0.033688176 -0.033688176 -0.033688176 -0.033688176 -0.033688176

= = = = = = =

-0.1092 -0.3584 0.1758 0.2316 0.3000 0.3331 0.2310

m


a b c d e f g

= = = = = = =

90 90 90 90 90 90 90

° ° ° ° ° ° °

57 57 57 57 57 57 57

15 15 10 10 10 10 10

" " " " " " "

= = = = = = =

97.7542 97.7542 91.0694 91.0694 93.2194 93.2194 93.2194

p0

1.300

10 10 10 10 55 55 55

" " " " " " "

= = = = = = =

92.1028 92.1028 92.1028 92.1028 89.1153 89.1153 90.9486

p1

1.270

15 55 55 55 55 55 5

" " " " " " "

= = = = = = =

94.1042 93.5986 93.5986 93.5986 93.5986 93.5986 88.9181

p2

1.450

35 35 35 35 35 35 35

" " " " " " "

= = = = = = =

88.6431 88.6431 88.6431 88.6431 88.6431 88.6431 88.6431

p3

1.450

5 5 55 55 40 5 35

" " " " " " "

= = = = = = =

90.8681 90.8681 85.0319 85.0319 84.5278 82.4181 89.0597

p4

1.240

55 55 55 55 55 55 55

" " " " " " "

= = = = = = =

89.0986 89.0986 89.0986 89.0986 89.0986 89.0986 89.0986

p5

1.310

5 5 50 55 0 0

" " " " " "

= = = = = =

92.3014 92.3014 97.0472 94.0986 94.1000 94.1000

p6

1.360

55

"

=

94.0986

40 40 40 40 35 35 50

" " " " " " "

= = = = = = =

88.9778 87.9778 87.9778 87.9778 87.9764 87.9764 87.9806

p7

25 25 25 25 25 25 25

" " " " " " "

= = = = = = =

89.9903 89.9903 89.9903 89.9903 89.9903 89.9903 89.9903

p8

1.310

10 10 10 10 10 10 10

" " " " " " "

= = = = = = =

88.6694 88.6694 88.6694 88.6694 88.6694 88.6694 88.6694

p9

1.390

5 5 5 5 5 5 5

" " " " " " "

= = = = = = =

91.1014 91.1014 91.1014 91.1014 91.1014 91.1014 91.1014

p10

1.400

55 55 55 55 55 55 55

" " " " " " "

= = = = = = =

90.9653 90.9653 90.9653 90.9653 90.9653 90.9653 90.9653

p11

1.360

1.290

PROFIL MEMANJANG Konversi ke bentuk decimal degree Dari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degree Contoh: 197° 36' 40" 40 36 = 197 + + 3600 60 197 + 0.6 + 0.011 = 197.611 = Profil Memanjang Perhitungan jarak sudut horizontal Rumus : Σβ = β1 + β2 + β3 + … βn β P0 β P1

=

191

°

32

5

"

=

191.5347

=

204

°

52

45

"

=

204.8792

β P2

=

239

°

0

45

"

=

239.0125

β P3

=

188

°

22

0

"

=

188.3667

β P4

=

284

°

10

35

"

=

284.1764

β P5

=

156

°

3

0

"

=

156.0500

β P6

=

193

°

15

50

"

=

193.2639

β P7

=

187

°

55

50

"

=

187.9306

β P8

=

258

°

26

40

"

=

258.4444

β P9

=

162

°

30

35

"

=

162.5097

β P10

=

282

°

7

0

"

=

282.1167

β P11 Σβ

= =

179

°

56

30

"

=

179.9417 2528.2264


(n±2). 180°- Σβ ( 12 + 2) 8.2264

.

180 °

2520 2528.2264

-8.2264

2528.2264

-

Koreksi sudut horizontal ( ∆β) Rumus : Σk ∆β = n 8.226 = 12

=

0.6855


=

191.5347

-

0.6855

=

190.8492

0.6855324

βP1

=

204.8792

-

0.6855

=

204.1936

0.6855324

βP2

=

239.0125

-

0.6855

=

238.3270

0.6855324

βP3

=

188.3667

-

0.6855

=

187.6811

0.6855324

βP4

=

284.1764

-

0.6855

=

283.4909

0.6855324

βP5

=

156.0500

-

0.6855

=

155.3645

0.6855324

βP6

=

193.2639

-

0.6855

=

192.5784

0.6855324

βP7

=

187.9306

-

0.6855

=

187.2450

0.6855324

βP8

=

258.4444

-

0.6855

=

257.7589

0.6855324

βP9

=

162.5097

-

0.6855

=

161.8242

0.6855324

βP10

=

282.1167

-

0.6855

=

281.4311

0.6855324

βP11

=

179.9417

-

0.6855

=

179.2561

0.6855324

Perhitungan azimut benar patok utama ( αn) Rumus : αn = αn-1 ± βn (koreksi)

β P0 ±

180

α0

=

190.8492

α1

=

190.8492

+

204.1936

+

-180

215.0428

+

238.3270

+

-180

α2

=

Ketentuan dari asisten nilai alfa u! 120 ° 42 40 " =

120.

°

=

α1

=

120.7111

215.0428

α2

=

120.7111

+

238.3270

+

-180

=

179.0381

273.3698

α3

=

179 0381

+

187 6811

+

180

=

186 7192

0.6855

=


=

191.5347

-

0.6855

=

190.8492

0.6855324

βP1

=

204.8792

-

0.6855

=

204.1936

0.6855324

βP2

=

239.0125

-

0.6855

=

238.3270

0.6855324

βP3

=

188.3667

-

0.6855

=

187.6811

0.6855324

βP4

=

284.1764

-

0.6855

=

283.4909

0.6855324

βP5

=

156.0500

-

0.6855

=

155.3645

0.6855324

βP6

=

193.2639

-

0.6855

=

192.5784

0.6855324

βP7

=

187.9306

-

0.6855

=

187.2450

0.6855324

βP8

=

258.4444

-

0.6855

=

257.7589

0.6855324

βP9

=

162.5097

-

0.6855

=

161.8242

0.6855324

βP10

=

282.1167

-

0.6855

=

281.4311

0.6855324

βP11

=

179.9417

-

0.6855

=

179.2561

0.6855324


β P0 ±

180

α1

=

120.7111

215.0428

α2

=

120.7111

+

238.3270

+

-180

=

179.0381

273.3698

α3

=

179.0381

+

187.6811

+

-180

=

186.7192

=

281.0509

α4

=

186.7192

+

283.4909

+

-180

=

290.2101

-180

=

384.5418

α5

=

290.2101

+

155.3645

+

-180

=

265.5745

-180

=

359.9063

α6

=

265.5745

+

192.5784

+

-180

=

278.1529

+

-180

=

372.4846

α7

=

278.1529

+

187.2450

+

-180

=

285.3979

+

-180

=

379.7296

α8

=

285.3979

+

257.7589

+

-180

=

363.1568

257.7589

+

-180

=

457.4885

α9

=

363.1568

+

161.8242

+

-180

=

344.9810

161.8242

+

-180

=

439.3127

α10 =

344.9810

+

281.4311

+

-180

=

446.4122

+

281.4311

+

-180

=

540.7439

α11 =

446.4122

+

179.2561

+

-180

=

445.6683

540.7439

+

179.2561

+

-180

=

540.0000

α0

=

445.6683

+

190.8492

+

-180

=

456.5175

540.0000

+

190.8492

+

-180

=

550.8492

α1

=

456.5175

+

204.1936

+

-180

=

480.7111

=

480.7111

+ -

=

120.7111

=

190.8492

α1

=

190.8492

+

204.1936

+

-180

=

α2

=

215.0428

+

238.3270

+

-180

=

α3

=

273.3698

+

187.6811

+

-180

α4

=

281.0509

+

283.4909

+

α5

=

384.5418

+

155.3645

+

α6

=

359.9063

+

192.5784

α7

=

372.4846

+

187.2450

α8

=

379.7296

+

α9

=

457.4885

+

α10 =

439.3127

α11 = =

Perhitungan jarak optis patok utama Rumus : D0n = (Ba-Bb) x

360

100

= = = = = = = = =

( ( ( ( ( ( ( ( (

1.050 1.210 2.092 2.115 0.370 1.105 1.565 1.705 3.280

-

0.550 1.000 1.585 1.110 0.355 0.530 1.260 1.215 2.785

) ) ) ) ) ) ) ) )

x x x x x x x x x

100 100 100 100 100 100 100 100 100

=

(

1.945

-

1.445

)

x

100 =

Do P10-P11 = Do P11-P0 = Do P0-P1 =

( ( (

1.760 2.730 1.050

-

1.180 1.900 0.550

) ) )

x 100 x 100 100 x ΣD0

Do P0-P1 Do P1-P2 Do P2-P3 Do P3-P4 Do P4-P5 Do P5-P6 Do P6-P7 Do P7-P8 Do P8-P9 Do P9-P10

120.

°

α0

α0

Ketentuan dari asisten nilai alfa u! 120 ° 42 40 " =

=

= = = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5

m m m m m m m m m

50

m

58 83 50 601.2

m m m m

Perhitungan jarak proyeksi patok utama (Dpn) Rumus : Dpn = Do . co ( 90°-γ ) Dp P0 P1

91

°

27

25

"

91.4569

50

x cos²

(

90

91.4569

)

( 90°-γ ) -1.4569

cos 0.9

=


360

+ -

=

120.7111

100

= = = = = = = = =

( ( ( ( ( ( ( ( (

1.050 1.210 2.092 2.115 0.370 1.105 1.565 1.705 3.280

-

0.550 1.000 1.585 1.110 0.355 0.530 1.260 1.215 2.785

) ) ) ) ) ) ) ) )

x x x x x x x x x

100 100 100 100 100 100 100 100 100

=

(

1.945

-

1.445

)

x

100 =

Do P10-P11 = Do P11-P0 = Do P0-P1 =

( ( (

1.760 2.730 1.050

-

1.180 1.900 0.550

) ) )

x 100 x 100 100 x ΣD0


480.7111

= = = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5

m m m m m m m m m

50

m

58 83 50 601.2

m m m m

Perhitungan jarak proyeksi patok utama (Dpn) Rumus : Dpn = Do . co ( 90°-γ ) ( ( ( ( ( ( ( ( (

90 90 90 90 90 90 90 90 90

-

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764

) ) ) ) ) ) ) ) )

= = = = = = = = =

( 90°-γ ) -1.4569 -0.4028 -0.3833 0.5000 7.5764 1.2486 -0.8778 0.0097 1.5236

cos 0.9 0.9 0.9 0.9 0. 0.9 0.9

50

cos² cos² cos² cos² cos² cos² cos² cos² cos² x cos²

(

90 -

90.5944

)

=

-0.5944

0.9

58 83 50

x cos² x cos² x cos²

( ( (

90 90 90 -

89.4583 59.9800 91.4569

) ) )

= = =

0.5417 30.0200 -1.4569

0.9 0.8 0.9

= = = = = = = = =

91 90 90 89 82 88 90 89 88

° ° ° ° ° ° ° ° °

27 24 23 30 25 45 52 59 28

25 10 0 0 25 5 40 25 35

" " " " " " " " "

= = = = = = = = =

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5

=

90

°

35

40

"

=

90.5944

Dp P10-P11 = Dp P11-P0 = Dp P0-P1 =

89 59 91

° ° °

27 58 27

30 48 25

" " "

= = =

89.4583 59.9800 91.4569

Dp P0-P1 Dp P1-P2 Dp P2-P3 Dp P3-P4 Dp P4-P5 Dp P5-P6 Dp P6-P7 Dp P7-P8 Dp P8-P9 Dp P9-P10

x x x x x x x x x

ΣDpn

=

Forgive me Tmank, kerja sama hanya batas sini sj,…. Selamat merumus…^_^ Good Luck! Perhitungan jarak horizontal patok utama (Dxn) Rumus : Dxn = Dpn . sinαn Dx0-Dx1 Dx1-Dx2

= =

49.9677 x 20.9990 x

sin sin

120.7111 179.0381

= =

42.9599

Dx2-Dx3

=

50.6977 x

sin

186.7192

=

-5.9318

Dx3-Dx4

=

100.492 x

sin

290.2101

=

-94.3053

Dx4-Dx5

=

1.4739 x

sin

265.5745

=

-1.4695

Dx5-Dx6

=

57.4727 x

sin

278.1529

=

-56.8918

Dx6-Dx7

=

30.4928 x

sin

285.3979

=

-29.3983

Dx7-Dx8

=

49.0000 x

sin

363.1568

=

2.6984

Dx8-Dx9

=

49.4650 x

sin

344.9810

=

-12.8183

Dx9-Dx10

=

49.9946 x

sin

446.4122

=

49.8966

Dx10-Dx11 Dx11-Dx0

= =

57.9948 x 62.2249 x

sin sin

445.6683 = 456.5175 = ΣDxn =

57.8292 61.8228 14.7443

120.7111

-25.5190

0.3525

Perhitungan jarak vertikal patok utama Rumus : Dyn = Dpn .cos αn Dy0-Dy1 Dy1-Dy2

= =

49.9677 x 20.9990 x

cos cos

179.0381

= =

-20.9960

0.9

ΣDpn

=


= =

49.9677 x 20.9990 x

sin sin

120.7111 179.0381

= =

42.9599

Dx2-Dx3

=

50.6977 x

sin

186.7192

=

-5.9318

Dx3-Dx4

=

100.492 x

sin

290.2101

=

-94.3053

Dx4-Dx5

=

1.4739 x

sin

265.5745

=

-1.4695

Dx5-Dx6

=

57.4727 x

sin

278.1529

=

-56.8918

Dx6-Dx7

=

30.4928 x

sin

285.3979

=

-29.3983

Dx7-Dx8

=

49.0000 x

sin

363.1568

=

2.6984

Dx8-Dx9

=

49.4650 x

sin

344.9810

=

-12.8183

Dx9-Dx10

=

49.9946 x

sin

446.4122

=

49.8966

Dx10-Dx11 Dx11-Dx0

= =

57.9948 x 62.2249 x

sin sin

445.6683 = 456.5175 = ΣDxn =

57.8292 61.8228 14.7443

0.3525


= =

49.9677 x 20.9990 x

cos cos

120.7111

= =

-25.5190

179.0381

Dy2-Dy3

=

50.6977 x

cos

186.7192

=

-50.3495

Dy3-Dy4

=

100.492 x

cos

290.2101

=

34.7164

Dy4-Dy5

=

1.4739 x

cos

265.5745

=

-0.1137

Dy5-Dy6

=

57.4727 x

cos

278.1529

=

8.1505

Dy6-Dy7

=

30.4928 x

cos

285.3979

=

8.0965

Dy7-Dy8

=

49.0000 x

cos

363.1568

=

48.9256

Dy8-Dy9

=

49.4650 x

cos

344.9810

=

47.7753

Dy9-Dy10

=

49.9946 x

cos

446.4122

=

3.1286

Dy10-Dy11 Dy11-Dy0

= =

57.9948 x 62.2249 x

cos cos

445.6683 = 456.5175 = ΣDyn =

4.3804 -7.0629 51.1322

-20.9960

Perhitungan koreksi jarak horizontal Rumus : Dpn = x ΣDx δDxn ΣDp δDx0 δDx1 δDx2 δDx3 δDx4 δDx5 δDx6 δDx7 δDx8 δDx9 δDx10 δDx11

= = = = = = = = = = = =

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650 49.9946 57.9948 62.2249

( ( ( ( ( ( ( ( ( ( ( (

Perhitungan koreksi jarak vertikal Rumus : Dpn = x δDyn ΣDp δDy0 δDy1 δDy2

= = =

( ( (

580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755

/ / / / / / / / / / / /

49.9677 20 .99 90 50 .69 77

) ) ) ) ) ) ) ) ) ) ) )

14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 ΣδDx


1.2696 0.5336 1.2882 2.5534 0.0375 1.4603 0.7748 1.2450 1.2569 1.2703 1.4736 1.5811 14.7443

= = = = = = = = = = = = =

ΣDy / / /

580.2755217 ) 58 0.2 755 217 ) 58 0.2 755 217 )

x x x

51.1322 51.1322 51.1322

= = =

4.4030 1.8504 4.4673

Controling Cabin

Congratulation ^_^

Perhitungan koreksi jarak horizontal Rumus : Dpn = x ΣDx δDxn ΣDp δDx0 δDx1 δDx2 δDx3 δDx4 δDx5 δDx6 δDx7 δDx8 δDx9 δDx10 δDx11

= = = = = = = = = = = =

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650 49.9946 57.9948 62.2249

( ( ( ( ( ( ( ( ( ( ( (

Perhitungan koreksi jarak vertikal Rumus : Dpn = x δDyn ΣDp = = = = = = = = = = = =

δDy0 δDy1 δDy2 δDy3 δDy4 δDy5 δDy6 δDy7 δDy8 δDy9 δDy10 δDy11

( ( ( ( ( ( ( ( ( ( ( (

580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755

/ / / / / / / / / / / /

49.9677 20 .99 90 50 .69 77 100.4923 1.4739 57 .47 27 30 .49 28 49 .00 00 49 .46 50 49.9946 57 .99 48 62 .22 49

) ) ) ) ) ) ) ) ) ) ) )

14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 14.7443 ΣδDx


1.2696 0.5336 1.2882 2.5534 0.0375 1.4603 0.7748 1.2450 1.2569 1.2703 1.4736 1.5811 14.7443

= = = = = = = = = = = = =

Controling Cabin

Congratulation ^_^

ΣDy / / / / / / / / / / / /

580.2755217 58 0.2 755 217 58 0.2 755 217 580.2755217 580.2755217 58 0.2 755 217 58 0.2 755 217 58 0.2 755 217 58 0.2 755 217 580.2755217 58 0.2 755 217 58 0.2 755 217

) ) ) ) ) ) ) ) ) ) ) )


51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 51.1322 ΣδDy

= = = = = = = = = = = = =

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764 90.5944 89.4583 59.9800

) ) ) ) ) ) ) ) ) ) ) )

4.4030 1.8504 4.4673 8.8551 0.1299 5.0643 2.6869 4.3177 4.3587 4.4054 5.1103 5.4831 51.1322

Controling Cabin

Congratulation ^_^

Perhitungan koordinat horizontal patok utama (Xn) Rumus :

Xn =

Xn-1

+

Dxn-1 -

δDxn-1

Perhitungan beda tinggi patok utama ( ∆Hn) Rumus : = D0n 1/ s in 2 (90°-γ) + (Tpswt - Bt) ∆Hn ∆H P0-P1 ∆H P1-P2 ∆H P2-P3 ∆H P3-P4 ∆H P4-P5 ∆H P5-P6 ∆H P6-P7 ∆H P7-P8 ∆H P8-P9 ∆H P9-P10 ∆H P10-P11 ∆H P11-P0

= = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5 50 58 83


0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5


Perhitungan koreksi beda tinggi patok utama Rumus : Σ∆Hn = δ∆H n 36.0509 = 12 3.00424 =

( ( ( ( ( ( ( ( ( ( ( (

90 90 90 90 90 90 90 90 90 90 90 90

° ° ° ° ° ° ° ° ° ° ° °

-

+ + + + + + + + + + + +

( ( ( ( ( ( ( ( ( ( ( (

1.300 1.270 1.450 1.450 1.240 1.310 1.360 1.290 1.310 1.390 1.400 1.360

-

0.800 1.100 1.035 1.855 0.363 0.830 1.320 1.560 3.030 1.700 1.570 2.325

) ) ) ) ) ) ) ) ) ) ) )

= = = = = = = = = = = =

(90°-γ) -1.4569 -0.4028 -0.3833 0.5000 7.5764 1.2486 -0.8778 0.0097 1.5236 -0.5944 0.5417 30.0200

2 x (90°-γ) -2.91388889 -0.80555556 -0.76666667 1 15.15277778 2.497222222 -1.75555556 0.019444444 3.047222222 -1.18888889 1.083333333 60.04

Xn =

Xn-1

+

Dxn-1 -

δDxn-1

Perhitungan beda tinggi patok utama ( ∆Hn) Rumus : = D0n 1/ s in 2 (90°-γ) + (Tpswt - Bt) ∆Hn ∆H P0-P1 ∆H P1-P2 ∆H P2-P3 ∆H P3-P4 ∆H P4-P5 ∆H P5-P6 ∆H P6-P7 ∆H P7-P8 ∆H P8-P9 ∆H P9-P10 ∆H P10-P11 ∆H P11-P0

= = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5 50 58 83


0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5


( ( ( ( ( ( ( ( ( ( ( (

90 90 90 90 90 90 90 90 90 90 90 90

° ° ° ° ° ° ° ° ° ° ° °

-

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764 90.5944 89.4583 59.9800

) ) ) ) ) ) ) ) ) ) ) )

+ + + + + + + + + + + +

( ( ( ( ( ( ( ( ( ( ( (

1.300 1.270 1.450 1.450 1.240 1.310 1.360 1.290 1.310 1.390 1.400 1.360

Perhitungan koreksi beda tinggi patok utama Rumus : Σ∆Hn = δ∆H n 36.0509 = 12 3.00424 = Perhitungan koordinat horizontal patok utama (Xn) Rumus : Xn = Xn-1 + Dxn-1 - δDxn-1 X1 X2 X3 X4 X5 X6 X7 X8 X9

= = = = = = = = =

122.8 122.8 164.4902 164.3092 157.089196 60.230511 58.7235302 0.37137204 -29.8017263

+ + + + + + + +

42.9599 0.3525 -5.9318 -94.3053 -1.4695 -56.8918 -29.3983 2.6984

-

1.2696 0.5336 1.2882 2.5534 0.0375 1.4603 0.7748 1.2450

= = = = = = = =

164.4902 164.3092 157.0892 60.2305 58.7235 0.3714 -29.8017 -28.3484

X10 X11 X0 X1

= = = =

-28.3483813 -42.4235551 6.20275757 62.5583

+ + + +

-12 .8 .81 83 83 49.8966 57.8292 61.8228

-

1.2 56 569 1.2703 1.4736 1.5811

= = = =

-42.4236 6.2028 62.5583 122.8000

= = = = = = = = = = = =

-33.9120 -56.7583 -111.5752 -85.7139 -85.9575 -82.8713 -77.4618 -32.8539 10.5627 9.2859 8.5560 -3.9900


Perhitungan koordinat horizontal patok utama (yn) Rumus Yn = Yn-1 + Dyn-1 - δDyn-1 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y12 Y1

= = = = = = = = = = = = =

-3.99 -3.99 -33.9120 -56.7583 -111.5752 -85.7139 -85.9575 -82.8713 -77.4618 -32.8539 10.5627 9.2859 8.5560

+ -25.5190 + -20.9960 + -50.3495 + 34.7164 + -0.1137 + 8.1505 + 8.0965 + 48.9256 + 47.7753 + 3.1286 + 4.3804 + -7.0629

-

4.4030 1.8504 4.4673 8.8551 0.1299 5.0643 2.6869 4.3177 4.3587 4.4054 5.1103 5.4831

Perhitungan kemiringan lereng patok utama utama Rumus umus : 100 % \Pn = ∆Hn / D0n x


-

0.800 1.100 1.035 1.855 0.363 0.830 1.320 1.560 3.030 1.700 1.570 2.325

) ) ) ) ) ) ) ) ) ) ) )

= = = = = = = = = = = =

(90°-γ) -1.4569 -0.4028 -0.3833 0.5000 7.5764 1.2486 -0.8778 0.0097 1.5236 -0.5944 0.5417 30.0200

2 x (90°-γ) -2.91388889 -0.80555556 -0.76666667 1 15.15277778 2.497222222 -1.75555556 0.019444444 3.047222222 -1.18888889 1.083333333 60.04

X10 X11 X0 X1

= = = =

-28.3483813 -42.4235551 6.20275757 62.5583

+ + + +

-12 .8 .81 83 83 49.8966 57.8292 61.8228

-

1.2 56 569 1.2703 1.4736 1.5811

= = = =

-42.4236 6.2028 62.5583 122.8000

= = = = = = = = = = = =

-33.9120 -56.7583 -111.5752 -85.7139 -85.9575 -82.8713 -77.4618 -32.8539 10.5627 9.2859 8.5560 -3.9900


Perhitungan koordinat horizontal patok utama (yn) Rumus Yn = Yn-1 + Dyn-1 - δDyn-1 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y12 Y1

-3.99 -3.99 -33.9120 -56.7583 -111.5752 -85.7139 -85.9575 -82.8713 -77.4618 -32.8539 10.5627 9.2859 8.5560

= = = = = = = = = = = = =

+ -25.5190 + -20.9960 + -50.3495 + 34.7164 + -0.1137 + 8.1505 + 8.0965 + 48.9256 + 47.7753 + 3.1286 + 4.3804 + -7.0629

-

4.4030 1.8504 4.4673 8.8551 0.1299 5.0643 2.6869 4.3177 4.3587 4.4054 5.1103 5.4831


Perhitungan kemiringan lereng patok utama utama Rumus umus : 100 % \Pn = ∆Hn / D0n x \P0-1 \P1-2 \P2-3 \P2-4 \P4-5 \P5-6 \P6-7 \P7-8 \P8-9 \P9-10 \P10-11 \P11-0

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 34.9895

= = = = = = = = = = = =

/ / / / / / / / / / / /

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5 50 58 83

100 100 100 100 100 100 100 100 100 100 100 100


% % % % % % % % % % % %

= = = = = = = = = = = =

-1.54175175 0.106567132 0.149517519 0.469635247 71.53635363 3.013330213 -1.40062399 -0.53405193 -0.81679787 -1.65742683 0.652226901 42.15606233

Perhitungan Tinggi Titik Patok Utama Rumus : Pn = Pn-1 ± ∆Hn-1 ± δ∆H P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P0 P1

= = = = = = = = = = = = =

20.4000 20.4000 22.6334 25.6600 28.7400 32.2163 36.2936 41.0305 43.6075 46.3501 48.9500 51.1255 54.5081

+ + + + + + + + + + + +

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 34.9895

+ + + + + + + + + + + +

3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042

PROFIL MELINTANG Perhitungan Azimut Benar Titik Detail ( αn det) Rumus umus : 180/540 αn det = αn + βndet ± 180/540 α0

-> a b c e

= = = =

= = = = = = = = = = = =

22.6334 25.6600 28.7400 32.2163 36.2936 41.0305 43.6075 46.3501 48.9500 51.1255 54.5081 92.5018

% % % % % % % % % % % %

Perhitungan Tinggi Titik Patok Utama Rumus : Pn = Pn-1 ± ∆Hn-1 ± δ∆H P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P0 P1

20.4000 20.4000 22.6334 25.6600 28.7400 32.2163 36.2936 41.0305 43.6075 46.3501 48.9500 51.1255 54.5081

= = = = = = = = = = = = =

+ + + + + + + + + + + +

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 34.9895

+ + + + + + + + + + + +

3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042 3.0042

PROFIL MELINTANG Perhitungan Azimut Benar Titik Detail ( αn det) Rumus umus : 180/540 αn det = αn + βndet ± 180/540 α0

-> a b c e f g

= = = = = =

α1

-> a b c e f g

= = = = = =

α2

-> a b c

= = =

e f g

= = =

α3

-> a b c e f g

= = = = = =

α4

-> a b c e f g

= = = = = =

α5

-> a b c e f g

= = = = = =

α6

-> a b c

= = =

= = = = = = = = = = = =

22.6334 25.6600 28.7400 32.2163 36.2936 41.0305 43.6075 46.3501 48.9500 51.1255 54.5081 92.5018

e f g

= = =

α3

-> a b c e f g

= = = = = =

α4

-> a b c e f g

= = = = = =

α5

-> a b c e f g

= = = = = =

α6

-> a b c e f g

= = = = = =

α7

-> a b c e f g

= = = = = =

α8

-> a b

= =

c e f g

= = = =

α9

-> a b c e f g

= = = = = =

α10

-> a b c e f g

= = = = = =

α11

-> a b c e f g

= = = = = =

α12

-> a b

= =

c e f g

= = = =

α9

-> a b c e f g

= = = = = =

α10

-> a b c e f g

= = = = = =

α11

-> a b c e f g

= = = = = =

α12

-> a b c e f g

= = = = = =

α13

-> a b c e f g

= = = = = =

Perhitungan Jarak Optis Titik Detail

Rumus

: D0 det =

(Ba-Bb) x 100 ## ## ## ##

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

( ( ( ( ## ( ( (

- ## -

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

= = = = = = =

( ( ( ( ## ( ## ( (

- ## - ## -

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

=

(

-

)

x

100 =

α0

-> a b c d e f g

= = = = = = =

( ( ( ( ( ( (

α1

-> a b c d e f g

= = = = = = =

α2

-> a b c d e f g

α3

-> a

## ## ## ##

-

Rumus

: D0 det =

(Ba-Bb) x 100 ## ## ## ##

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

( ( ( ( ## ( ( (

- ## -

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

= = = = = = =

( ( ( ( ## ( ## ( (

- ## - ## -

) ) ) ) ) ) )

x x x x x x x

100 100 100 100 100 100 100

= = = = = = =

-> a b c d f g

= = = = = =

( ( ( ( ## ( (

- ## -

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α4

-> a b c d f g

= = = = = =

( ( ( ( ## ( (

- ## -

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α5

-> a b c d f g

= = = = = =

( ( ( ( ## ( (

- ## -

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α6

-> a b c d f g

= = = = = =

( ( ( ( ## ( (

- ## -

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α7

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α8

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α0

-> a b c d e f g

= = = = = = =

( ( ( ( ( ( (

α1

-> a b c d e f g

= = = = = = =

α2

-> a b c d e f g

α3

## ## ## ##

-

α5

-> a b c d f g

= = = = = =

( ( ( ( ## ( (

- ## -

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α6

-> a b c d f g

= = = = = =

( ( ( ( ## ( (

- ## -

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α7

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α8

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α9

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α10

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α11

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α12

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

111 111 111 111 111 111

= = = = = =

α13

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

112 112 112 112 112 112

= = = = = =

α11

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

100 100 100 100 100 100

= = = = = =

α12

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

111 111 111 111 111 111

= = = = = =

α13

-> a b c e f g

= = = = = =

( ( ( ( ( (

-

) ) ) ) ) )

x x x x x x

112 112 112 112 112 112

= = = = = =

111

111

Controling Cabin

360.0000

-

96.5175

360.0000

0.0000

Congratulation

0.0000

(90°-γ ) 99677

49.9677

360.0000

0.0000

Congratulation

0.0000

-

(90°-γ ) 99677 99975 99978 99962 9127 99763 99883 1 99646

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650

99946

49.9946

99955 65851 99677

57.9948 62.2249 49.9677

580.2755

m

580.2755

m

sin 2 x (90°-γ) -0.050835035 -0.014059134 -0.013380458 0.017452406 0.261393739 0.043570952 -0.030635431 0.00033937 0.053158992 -0.020748537 0.018906607 0.866374259 Σ∆Hn =

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 34.9895 36.0509


sin 2 x (90°-γ) -0.050835035 -0.014059134 -0.013380458 0.017452406 0.261393739 0.043570952 -0.030635431 0.00033937 0.053158992 -0.020748537 0.018906607 0.866374259 Σ∆Hn =

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 34.9895 36.0509


Konversi ke bentuk decimal degree Dari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degree Contoh: 197° 36' 40" 40 36 = 197 + + 3600 60 197 + 0.6 + 0.011 = = 197.611111 Profil Memanjang Perhitungan jarak sudut horizontal Rumus : + β3 + … βn Σβ = β1 + β2 β P0 β P1

=

191

°

32

5

"

=

191.5347

=

204

°

52

45

"

=

204.8792

β P2

=

239

°

0

45

"

=

239.0125

β P3

=

188

°

22

0

"

=

188.3667

β P4

=

284

°

10

35

"

=

284.1764

β P5

=

156

°

3

0

"

=

156.0500

β P6

=

193

°

15

50

"

=

193.2639

β P7

=

187

°

55

50

"

=

187.9306

β P8

=

258

°

26

40

"

=

258.4444

β P9

=

162

°

30

35

"

=

162.5097

β P10

=

282

°

7

0

"

=

282.1167

β P11 Σβ

= =

179

°

56

30

"

=

179.9417 2528.2264

2520 2528.2264

-8.2264

Konversi ke bentuk decimal degree Dari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degree Contoh: 197° 36' 40" 40 36 = 197 + + 3600 60 197 + 0.6 + 0.011 = = 197.611111 Profil Memanjang Perhitungan jarak sudut horizontal Rumus : + β3 + … βn Σβ = β1 + β2 β P0 β P1

=

191

°

32

5

"

=

191.5347

=

204

°

52

45

"

=

204.8792

β P2

=

239

°

0

45

"

=

239.0125

β P3

=

188

°

22

0

"

=

188.3667

β P4

=

284

°

10

35

"

=

284.1764

β P5

=

156

°

3

0

"

=

156.0500

β P6

=

193

°

15

50

"

=

193.2639

β P7

=

187

°

55

50

"

=

187.9306

β P8

=

258

°

26

40

"

=

258.4444

β P9

=

162

°

30

35

"

=

162.5097

β P10

=

282

°

7

0

"

=

282.1167

β P11 Σβ

= =

179

°

56

30

"

=

179.9417 2528.2264


(n±2). 180°- Σβ ( 12 + 2) 8.2264

.

180 °

2520 2528.2264

-8.2264

2528.2264

-

Koreksi sudut horizontal ( ∆β) Rumus : Σk ∆β = n 8.226 = 12 0.6855 =


=

191.5347

-

0.6855

=

190.8492

0.6855324

βP1

=

204.8792

-

0.6855

=

204.1936

0.6855324

βP2

=

239.0125

-

0.6855

=

238.3270

0.6855324

βP3

=

188.3667

-

0.6855

=

187.6811

0.6855324

βP4

=

284.1764

-

0.6855

=

283.4909

0.6855324

βP5

=

156.0500

-

0.6855

=

155.3645

0.6855324

βP6

=

193.2639

-

0.6855

=

192.5784

0.6855324

βP7

=

187.9306

-

0.6855

=

187.2450

0.6855324

βP8

=

258.4444

-

0.6855

=

257.7589

0.6855324

βP9

=

162.5097

-

0.6855

=

161.8242

0.6855324

βP10

=

282.1167

-

0.6855

=

281.4311

0.6855324

βP11

=

179.9417

-

0.6855

=

179.2561

0.6855324


β P0 ±

=

94

Ketentuan dari asisten nilai alfa u! 28 35 " ° =

180 °

α0 α1

=

190.8492

α0

=

94.4764

=

190.8492

+

204.1936

+

-180

=

215.0428

α1

=

94.4764

+

238.3270

+

-180

=

152.803

α2

=

215.0428

+

238.3270

+

-180

=

273.3698

α2

=

152.8034

+

187.6811

+

-180

=

160.484

273.3698

+

187.6811

+

-180

281.0509

α3

=

160 4845

+

283 4909

+

180

=

263.975

α3


=

191.5347

-

0.6855

=

190.8492

0.6855324

βP1

=

204.8792

-

0.6855

=

204.1936

0.6855324

βP2

=

239.0125

-

0.6855

=

238.3270

0.6855324

βP3

=

188.3667

-

0.6855

=

187.6811

0.6855324

βP4

=

284.1764

-

0.6855

=

283.4909

0.6855324

βP5

=

156.0500

-

0.6855

=

155.3645

0.6855324

βP6

=

193.2639

-

0.6855

=

192.5784

0.6855324

βP7

=

187.9306

-

0.6855

=

187.2450

0.6855324

βP8

=

258.4444

-

0.6855

=

257.7589

0.6855324

βP9

=

162.5097

-

0.6855

=

161.8242

0.6855324

βP10

=

282.1167

-

0.6855

=

281.4311

0.6855324

βP11

=

179.9417

-

0.6855

=

179.2561

0.6855324


β P0 ±

94

=

Ketentuan dari asisten nilai alfa u! 28 35 " ° =

180 °

α0 α1

=

190.8492

α0

=

94.4764

=

190.8492

+

204.1936

+

-180

=

215.0428

α1

=

94.4764

+

238.3270

+

-180

=

152.803

α2

=

215.0428

+

238.3270

+

-180

=

273.3698

α2

=

152.8034

+

187.6811

+

-180

=

160.484

α3

=

273.3698

+

187.6811

+

-180

=

281.0509

α3

=

160.4845

+

283.4909

+

-180

=

263.975

α4

=

281.0509

+

283.4909

+

-180

=

384.5418

α4

=

263.9753

+

155.3645

+

-180

=

239.339

α5

=

384.5418

+

155.3645

+

-180

=

359.9063

α5

=

239.3398

+

192.5784

+

-180

=

251.918

α6

=

359.9063

+

192.5784

+

-180

=

372.4846

α6

=

251.9182

+

187.2450

+

-180

=

259.163

α7

=

372.4846

+

187.2450

+

-180

=

379.7296

α7

=

259.1632

+

257.7589

+

-180

=

336.922

α8

=

379.7296

+

257.7589

+

-180

=

457.4885

α8

=

336.9221

+

161.8242

+

-180

=

318.746

α9

=

457.4885

+

161.8242

+

-180

=

439.3127

α9

=

318.7463

+

281.4311

+

-180

=

420.177

α10 =

439.3127

+

281.4311

+

-180

=

540.7439

α10 =

420.1774

+

179.2561

+

-180

=

419.433

α11 = α0 =

540.7439 540.0000

+ +

179.2561 190.8492

+ +

-180 -180

= =

540.0000 550.8492

α11 = α0 = =

419.4336 430.2828 454.4764

+ 190.8492 204.1936 + 360 + -

+ +

-180 -180

= = =

430.282 454.476 94.4764


100

= = = = = = = = =

( ( ( ( ( ( ( ( (

1.050 1.210 2.092 2.115 0.370 1.105 1.565 1.705 3.280

-

0.550 1.000 1.585 1.110 0.355 0.530 1.260 1.215 2.785

) ) ) ) ) ) ) ) )

x x x x x x x x x

100 100 100 100 100 100 100 100 100

=

(

1.945

-

1.445

)

x

100 =

Do P10-P11 = Do P11-P0 = Do P0-P1 =

( ( (

1.760 2.730 1.050

-

1.180 1.900 0.550

) ) )

x 100 100 x 100 x ΣD0


Perhitungan jarak proyeksi patok utama (Dpn) Rumus : Dpn = Do . cos² ( 90°-γ Dp P0-P1 Dp P1 P2

=

91 90

° °

27 24

= = = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5

m m m m m m m m m

50

m

58 83 50 601.2

m m m m

) 25 10

" "

=

91.4569 90 4028

50 21

x cos² x cos²

( (

90 90

91.4569 90 4028

) )

=

( 90°-γ ) -1.4569 0 4028

c


100

= = = = = = = = =

( ( ( ( ( ( ( ( (

1.050 1.210 2.092 2.115 0.370 1.105 1.565 1.705 3.280

-

0.550 1.000 1.585 1.110 0.355 0.530 1.260 1.215 2.785

) ) ) ) ) ) ) ) )

x x x x x x x x x

100 100 100 100 100 100 100 100 100

=

(

1.945

-

1.445

)

x

100 =

Do P10-P11 = Do P11-P0 = Do P0-P1 =

( ( (

1.760 2.730 1.050

-

1.180 1.900 0.550

) ) )

x 100 100 x 100 x ΣD0


Perhitungan jarak proyeksi patok utama (Dpn) Rumus : Dpn = Do . cos² ( 90°-γ

= = = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5

m m m m m m m m m

50

m

58 83 50 601.2

m m m m

) ( ( ( ( ( ( ( ( (

90 90 90 90 90 90 90 90 90

-

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764

) ) ) ) ) ) ) ) )

= = = = = = = = =

( 90°-γ ) -1.4569 -0.4028 -0.3833 0.5000 7.5764 1.2486 -0.8778 0.0097 1.5236

50

cos² cos² cos² cos² cos² cos² cos² cos² cos² x cos²

(

90 -

90.5944

)

=

-0.5944

58 83 50

x cos² x cos² x cos²

( ( (

90 90 90 -

89.4583 ) 59.9800 ) 91.4569 ) ΣDpn

= = = =

0.5417 30.0200 -1.4569

= = = = = = = = =

91 90 90 89 82 88 90 89 88

° ° ° ° ° ° ° ° °

27 24 23 30 25 45 52 59 28

25 10 0 0 25 5 40 25 35

" " " " " " " " "

= = = = = = = = =

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5

=

90

°

35

40

"

=

90.5944

Dp P10-P11 = Dp P11-P0 = Dp P0-P1 =

89 59 91

° ° °

27 58 27

30 48 25

" " "

= = =

89.4583 59.9800 91.4569

Dp P0-P1 Dp P1-P2 Dp P2-P3 Dp P3-P4 Dp P4-P5 Dp P5-P6 Dp P6-P7 Dp P7-P8 Dp P8-P9 Dp P9-P10

x x x x x x x x x


= =

49.9677

49.8153

152.8034

= =

Dx2-Dx3

=

160.4845

=

16.9362

Dx3-Dx4

=

sin

263.9753

=

-99.9373

Dx4-Dx5

=

1.4739

Dx5-Dx6

=

57.4727

x

sin

239.3398

=

-1.2679

x

sin

251.9182

=

-54.6344

Dx6-Dx7

=

Dx7-Dx8

=

30.4928

x

sin

259.1632

=

-29.9491

49.0000

x

sin

336.9221

=

-19.2071

Dx8-Dx9 Dx9-Dx10

=

49.4650

x

sin

318.7463

=

-32.6169

=

49.9946

x

sin

420.1774

=

Dx10-Dx11 Dx11-Dx0

43.3738

= =

57.9948 62.2249

x x

sin sin

419.4336 = 430.2828 = ΣDxn =

49.9359 58.5766 -9.3775

20.9990

x x

sin sin

50.6977

x

sin

100.4923 x

94.4764

9.5975


= =

49.9677 20.9990

x x

cos cos

152.8034

94.4764

= =

-18.6774

-3.8999

Dy2-Dy3

=

50 6977

x

cos

160 4845

=

-47 7852

c


= =

49.9677

49.8153

152.8034

= =

Dx2-Dx3

=

160.4845

=

16.9362

Dx3-Dx4

=

sin

263.9753

=

-99.9373

Dx4-Dx5

=

1.4739

Dx5-Dx6

=

57.4727

x

sin

239.3398

=

-1.2679

x

sin

251.9182

=

-54.6344

Dx6-Dx7

=

Dx7-Dx8

=

30.4928

x

sin

259.1632

=

-29.9491

49.0000

x

sin

336.9221

=

-19.2071

Dx8-Dx9 Dx9-Dx10

=

49.4650

x

sin

318.7463

=

-32.6169

=

49.9946

x

sin

420.1774

=

Dx10-Dx11 Dx11-Dx0

43.3738

= =

57.9948 62.2249

x x

sin sin

419.4336 = 430.2828 = ΣDxn =

49.9359 58.5766 -9.3775

20.9990

x x

sin sin

50.6977

x

sin

100.4923 x

94.4764

9.5975

Perhitungan jarak vertikal patok utama Rumus : Dyn = Dpn .cos αn 49.9677

Dy0-Dy1 Dy1-Dy2

= =

Dy2-Dy3 Dy3-Dy4 Dy4-Dy5

=

1.4739

Dy5-Dy6

=

Dy6-Dy7

=

Dy7-Dy8 Dy8-Dy9

94.4764

-3.8999

20.9990

x x

cos cos

152.8034

= =

-18.6774

=

50.6977

x

cos

160.4845

=

-47.7852

=

100.4923 x

cos

263.9753

=

-10.5473

x

cos

239.3398

=

-0.7516

57.4727

x

cos

251.9182

=

-17.8381

30.4928

x

cos

259.1632

=

-5.7330

=

49.0000

x

cos

336.9221

=

45.0787

=

49.4650

x

cos

318.7463

=

37.1877

Dy9-Dy10

=

49.9946

x

cos

420.1774

=

24.8631

Dy10-Dy11 Dy11-Dy0

= =

57.9948 62.2249

x x

cos cos

419.4336 = 430.2828 = ΣDyn =

29.4925 20.9934 52.3828

Perhitungan koreksi jarak horizontal Rumus : Dpn = x δDxn ΣDp δDx0 δDx1 δDx2 δDx3 δDx4 δDx5 δDx6 δDx7 δDx8 δDx9 δDx10 δDx11

= = = = = = = = = = = =

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650 49.9946 57.9948 62.2249

( ( ( ( ( ( ( ( ( ( ( (

Perhitungan koreksi jarak vertikal Rumus : Dpn = x δDyn ΣDp δDy0 δDy1 δDy2 δDy3

= = = =

( ( ( (

49.9677 20.9990 50.6977 100.4923

ΣDx 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755

/ / / / / / / / / / / /

) ) ) ) ) ) ) ) ) ) ) )

-9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 ΣδDx


-0.8075 -0.3394 -0.8193 -1.6240 -0.0238 -0.9288 -0.4928 -0.7919 -0.7994 -0.8079 -0.9372 -1.0056 -9.3775

= = = = = = = = = = = = =

ΣDy / / / /

580.2755217 580.2755217 580.2755217 580.2755217

) ) ) )

x x x x

52.3828 52.3828 52.3828 52.3828

= = = =

4.5107 1.8956 4.5766 9.0717

Controling Cabin

Met nah, Ngulang ki T_T'

Perhitungan koreksi jarak horizontal Rumus : Dpn = x δDxn ΣDp δDx0 δDx1 δDx2 δDx3 δDx4 δDx5 δDx6 δDx7 δDx8 δDx9 δDx10 δDx11

= = = = = = = = = = = =

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650 49.9946 57.9948 62.2249

( ( ( ( ( ( ( ( ( ( ( (

Perhitungan koreksi jarak vertikal Rumus : Dpn = x δDyn ΣDp δDy0 δDy1 δDy2 δDy3 δDy4 δDy5 δDy6 δDy7 δDy8 δDy9 δDy10 δDy11

= = = = = = = = = = = =

( ( ( ( ( ( ( ( ( ( ( (

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650 49.9946 57.9948 62.2249

ΣDx 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755 580.2755

/ / / / / / / / / / / /

) ) ) ) ) ) ) ) ) ) ) )

-9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 -9.3775 ΣδDx


-0.8075 -0.3394 -0.8193 -1.6240 -0.0238 -0.9288 -0.4928 -0.7919 -0.7994 -0.8079 -0.9372 -1.0056 -9.3775

= = = = = = = = = = = = =

Controling Cabin

Met nah, Ngulang ki T_T'

ΣDy / / / / / / / / / / / /

580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217 580.2755217

) ) ) ) ) ) ) ) ) ) ) )


52.3828 52.3828 52.3828 52.3828 52.3828 52.3828 52.3828 52.3828 52.3828 52.3828 52.3828 52.3828 ΣδDy

= = = = = = = = = = = = =

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764 90.5944 89.4583 59.9800

) ) ) ) ) ) ) ) ) ) ) )

4.5107 1.8956 4.5766 9.0717 0.1331 5.1882 2.7527 4.4233 4.4653 4.5131 5.2353 5.6172 52.3828

Controling Cabin

Congratulation ^_^

Perhitungan koordinat horizontal patok utama (Xn) Rumus : Xn = Xn-1 + Dxn-1 - δDxn-1

Perhitungan beda tinggi patok utama ( ∆Hn) Rumus : = D0n 1/2 s in 2 (90°-γ) + (Tpswt - Bt) ∆Hn ∆H P0-P1 ∆H P1-P2 ∆H P2-P3 ∆H P3-P4 ∆H P4-P5 ∆H P5-P6 ∆H P6-P7 ∆H P7-P8 ∆H P8-P9 ∆H P9-P10 ∆H P10-P11 ∆H P11-P0

= = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5 50 58 83


0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5


Perhitungan koreksi beda tinggi patok utama Rumus : Σ∆Hn = δ∆H n 36.0509 = 12 3.00424345 = Perhitungan koordinat horizontal patok utama (Xn)

( ( ( ( ( ( ( ( ( ( ( (

90 90 90 90 90 90 90 90 90 90 90 90

° ° ° ° ° ° ° ° ° ° ° °

-

+ + + + + + + + + + + +

( ( ( ( ( ( ( ( ( ( ( (

1.300 1.270 1.450 1.450 1.240 1.310 1.360 1.290 1.310 1.390 1.400 1.360

-

0.800 1.100 1.035 1.855 0.363 0.830 1.320 1.560 3.030 1.700 1.570 2.325

) ) ) ) ) ) ) ) ) ) ) )

= = = = = = = = = = = =

(90°-γ) -1.4569 -0.4028 -0.3833 0.5000 7.5764 1.2486 -0.8778 0.0097 1.5236 -0.5944 0.5417 30.0200

2 x (90°-γ) -2.91388889 -0.80555556 -0.76666667 1 15.15277778 2.497222222 -1.75555556 0.019444444 3.047222222 -1.18888889 1.083333333 60.04

Perhitungan beda tinggi patok utama ( ∆Hn) Rumus : = D0n 1/2 s in 2 (90°-γ) + (Tpswt - Bt) ∆Hn ∆H P0-P1 ∆H P1-P2 ∆H P2-P3 ∆H P3-P4 ∆H P4-P5 ∆H P5-P6 ∆H P6-P7 ∆H P7-P8 ∆H P8-P9 ∆H P9-P10 ∆H P10-P11 ∆H P11-P0

= = = = = = = = = = = =

50 21 50.7 100.5 1.5 57.5 30.5 49 49.5 50 58 83


0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5


( ( ( ( ( ( ( ( ( ( ( (

90 90 90 90 90 90 90 90 90 90 90 90

° ° ° ° ° ° ° ° ° ° ° °

-

91.4569 90.4028 90.3833 89.5000 82.4236 88.7514 90.8778 89.9903 88.4764 90.5944 89.4583 59.9800

) ) ) ) ) ) ) ) ) ) ) )

+ + + + + + + + + + + +

( ( ( ( ( ( ( ( ( ( ( (

1.300 1.270 1.450 1.450 1.240 1.310 1.360 1.290 1.310 1.390 1.400 1.360

Perhitungan koreksi beda tinggi patok utama Rumus : Σ∆Hn = δ∆H n 36.0509 = 12 3.00424345 = Perhitungan koordinat horizontal patok utama (Xn) Rumus : Xn = Xn-1 + Dxn-1 - δDxn-1 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10

= = = = = = = = = =

X11 = X0 = X1 =

122.8 122.8 173.4228 183.3596 201.115072 102 .80 175 8 101.557697 47.852116 18.395839 -0.01942856

+ + + + + + + + +

49.8153 9.5975 16.9362 -99.9373 -1 .26 79 -54.6344 -29.9491 -19.2071 -32.6169

-

-0.8075 -0.3394 -0.8193 -1.6240 -0.0238 -0.9288 -0.4928 -0.7919 -0.7994

= = = = = = = = =

173.4228 183.3596 201.1151 102.8018 101.5577 47.8521 18.3958 -0.0194 -31.8370

-31.8370026 + 12.3447421 + 63.2178 +

43.3738 49.9359 58.5766

-

-0.8079 -0.9372 -1.0056

= = =

12.3447 63.2178 122.8000

= = = = = = = = = = = =

-12.4006 -32.9736 -85.3354 -104.9544 -105.8390 -128.8653 -137.3510 -96.6957 -63.9733 -43.6234 -19.3662 -3.9900


Perhitungan koordinat vertikal patok utama (yn) Rumus Yn = Yn-1 + Dyn-1 - δDyn-1 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y12 Y1

= = = = = = = = = = = = =

-3.99 -3.99 -12.4006 -32.9736 -85.3354 -104.9544 -105.8390 -128.8653 -137.3510 -96.6957 -63.9733 -43.6234 -19.3662

+ + + + + + + + + + + +

-3.8999 -18.6774 -47.7852 -10.5473 -0.7516 -17.8381 -5.7330 45.0787 37.1877 24.8631 29.4925 20.9934

-

4.5107 1.8956 4.5766 9.0717 0.1331 5.1882 2.7527 4.4233 4.4653 4.5131 5.2353 5.6172


-

0.800 1.100 1.035 1.855 0.363 0.830 1.320 1.560 3.030 1.700 1.570 2.325

) ) ) ) ) ) ) ) ) ) ) )

= = = = = = = = = = = =

(90°-γ) -1.4569 -0.4028 -0.3833 0.5000 7.5764 1.2486 -0.8778 0.0097 1.5236 -0.5944 0.5417 30.0200

2 x (90°-γ) -2.91388889 -0.80555556 -0.76666667 1 15.15277778 2.497222222 -1.75555556 0.019444444 3.047222222 -1.18888889 1.083333333 60.04

X11 = X0 = X1 =

-31.8370026 + 12.3447421 + 63.2178 +

43.3738 49.9359 58.5766

-

-0.8079 -0.9372 -1.0056

= = =

12.3447 63.2178 122.8000

= = = = = = = = = = = =

-12.4006 -32.9736 -85.3354 -104.9544 -105.8390 -128.8653 -137.3510 -96.6957 -63.9733 -43.6234 -19.3662 -3.9900


Perhitungan koordinat vertikal patok utama (yn) Rumus Yn = Yn-1 + Dyn-1 - δDyn-1 Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Y12 Y1

= = = = = = = = = = = = =

-3.99 -3.99 -12.4006 -32.9736 -85.3354 -104.9544 -105.8390 -128.8653 -137.3510 -96.6957 -63.9733 -43.6234 -19.3662

+ + + + + + + + + + + +

-3.8999 -18.6774 -47.7852 -10.5473 -0.7516 -17.8381 -5.7330 45.0787 37.1877 24.8631 29.4925 20.9934

-

4.5107 1.8956 4.5766 9.0717 0.1331 5.1882 2.7527 4.4233 4.4653 4.5131 5.2353 5.6172


4.4764

4.4764

Controling Cabin

-

360.0000 360.0000

70.2828 0.0000

Met nah mengulang ki'

s (90°-γ ) 0.999677 0 999975

49.9677 20 9990

0.0000

Met nah mengulang ki'

s (90°-γ ) 0.999677 0.999975 0.999978 0.999962 0.99127 0.999763 0.999883 1 0.999646

49.9677 20.9990 50.6977 100.4923 1.4739 57.4727 30.4928 49.0000 49.4650

0.999946

49.9946

0.999955 0.865851 0.999677

57.9948 62.2249 49.9677 580.2755

0.0000

m

sin 2 x (90°-γ) -0.050835035 -0.014059134 -0.013380458 0.017452406 0.261393739 0.043570952 -0.030635431 0.00033937 0.053158992 -0.020748537 0.018906607 0.866374259 Σ∆Hn =

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 34.9895 36.0509


sin 2 x (90°-γ) -0.050835035 -0.014059134 -0.013380458 0.017452406 0.261393739 0.043570952 -0.030635431 0.00033937 0.053158992 -0.020748537 0.018906607 0.866374259 Σ∆Hn =

-0.7709 0.0224 0.0758 0.4720 1.0730 1.7327 -0.4272 -0.2617 -0.4043 -0.8287 0.3783 34.9895 36.0509


Konversi ke bentuk decimal degree Dari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degree Contoh: 197° 36' 40" 36 40 = 197 + + 60 3600 = 197 + 0.6 + 0.01 = 197.611 Profil Memanjang Perhitungan jarak sudut horizontal Rumus : Σβ = β1 + β2 + β3 + … βn

β P0 β P1 β P2 βP

= = =

94 204 239 188

° ° ° °

28 52 0 22

35 45 45 0

" " " "

= = =

94.4764 204.879 239.013 188.367

Konversi ke bentuk decimal degree Dari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degree Contoh: 197° 36' 40" 36 40 = 197 + + 60 3600 = 197 + 0.6 + 0.01 = 197.611 Profil Memanjang Perhitungan jarak sudut horizontal Rumus : Σβ = β1 + β2 + β3 + … βn

β P0 β P1 β P2 β P3 β P4 β P5 β P6 β P7 β P8 β P9 β P10 β P11 Σβ

= = = = = = = = = = = = =

94 204 239 188 284 156 193 187 258 162 282 179

° ° ° ° ° ° ° ° ° ° ° °

28 52 0 22 10 3 15 55 26 30 7 59

Koreksi sudut (Σk) Rumus : Σk = (n±2). 180°- Σβ = ( 12 + 2) = 88.7847

Perencanaan Elevasi level Z

=

P0-1 P0 p1

20.4000

= =

24.4072 24.7842

35 45 45 0 35 0 50 50 40 25 0 30

.

" " " " " " " " " " " "

180 °

= = = = = = = = = = = =

94.4764 204.879 239.013 188.367 284.176 156.05 193.264 187.931 258.444 162.507 282.117 179.992 2431.22

-

2431.22

P0-Z P1-Z

= =

A = V =

4.0072 m 4.3842 m 1/2 ( 4.1957

4.0072 + x 50

4.3842 )

= =

4.1957 m² 209.785 m³

0.0022 )

= =

0.0011 m² 0.055 m³

= =

0.0401 m² 2.005 m³

Perencanaan Elevasi level Z

=

20.4000

P1-2 P1 p2

= =

20.4 20.4022

P1-Z P2-Z

= =

0.0000 m 0.0022 m

A = V =

1/2 ( 0.0011

0 x

+ 50

Perencanaan Elevasi level Z = 20.4000 P2-3 P2 p3

= =

20.4022 20.478

P2-Z P3-Z

= =

0.0022 m 0.0780 m

A = V =

1/2 ( 0.0401

0.0022 + x 50


= =

20.478 20.95

P3-Z P4-Z

= =

0.0780 m 0.5500 m

0.078

)

A = V =

1/2 ( 0.314

0.078 x

+ 50

0.55

)

= =

0.314 15.7

m² m³

+ 50

1.623

)

= =

1.0865 m² 54.325 m³

+ 50

6.369

)

= =

3.996 199.8

+ 50

6.369

)

= =

6.369 m² 318.45 m³


= =

20.95 22.023

P4-Z P5-Z

= =

0.5500 m 1.6230 m

A = V =

1/2 ( 1.0865

0.55 x


= =

22.023 26.769

P5-Z P6-Z

= =

1.6230 m 6.3690 m

A = V =

1/2 ( 3.996

1.623 x

m² m³


= =

26.769 26.769

P6-Z P7-Z

= =

6.3690 m 6.3690 m

A = V =

1/2 ( 6.369

6.369 x

Perencanaan Elevasi level Z = 20.4000 P7-8 p7 p8

= =

26.769 25.8078

P7-Z P8-Z

= =

6.3690 m 5.4078 m

A = V =

1/2 ( 5.8884

6.369 x

+ 50

5.4078 )

= =

5.8884 m² 294.42 m³

4.591

)

= =

4.9994 m² 249.97 m³

2.9336 )

= =

3.7623 m² 188.115 m³

Perencanaan Elevasi level Z = 20.4000 P8-9 p8 p9

= =

25.8078 24.991

P8-Z P9-Z

= =

5.4078 m 4.5910 m

A = V =

1/2 ( 4.9994

5.4078 + x 50

Perencanaan Elevasi level Z = 20.4000 P9-10 p9 = p10 = P9-Z P10-Z

A = V =

= =

24.991 23.3336 4.5910 m 2.9336 m 1/2 ( 3.7623

4.591 x

+ 50


= =

A = V =

23.3336 23.3336 2.9336 m 2.9336 m 1/2 ( 2.9336

2.9336 + x 50

2.9336 )

= =

2.9336 m² 146.68 m³

4.0072 )

= =

3.4704 m² 173.52 m³


A = V =

= =

23.3336 24.4072 2.9336 m 4.0072 m 1/2 ( 3.4704

2.9336 + x 50

1852.83

X

Y

Z

164.49024

-33.91198

59.351961

10.8236 14.16833 5.958534 2.493154 12.72479 6.532775 -0.09436 -56.7583 0.296412 4.5827 -9.13362 -12.142 -4.5165 -0.44276 -2.74346 -111.575 -31.2369 -32.6759 -35.1481 -36.1412 -37.5183 -33.4977 -32.1335 -85.7139 -56.9698 -57.1204 -56.4325 -56.252 -53.215 -51.0712 -57.1732 -85.9575 -113.652 -115.383 -109.169 -107.465 -112.819 -110.984 -107.824 -82.8713 -88.9778 -90.9361 -81.9278 -79.5178 -84.0359

54.622588 66.231067 71.131044 71.061416 72.827797 67.512258

164.3092 125.36113 127.92247 119.72652 117.92889 113.31687 113.98955 108.85946

157.0892 170.3777 167.21076 161.76972 159.58404 159.7246 159.02759 156.69335

60.23051 167.30006 169.29326 159.82355 157.33941 160.7855 161.16933 158.32694

58.72353 154.92551 153.12243 159.59491 161.37038 163.91309 164.43485 162.99719

0.371372 64.016634 66.288308 55.838609 53.043018 51.899929

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! 20.54666 20.57333 20.34 20.40666 20.53167 20.55167 20.63825 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

54.928954 62.796026

-29.8017 55.538215 51.645051 61.377144 65.792726 53.731227 56.25754 59.553355

-28.3484 3.9928537 6.8323075 -3.935918 -6.509704 -7.432955 -2.476102 0.3892273

-42.4236 -31.75095 -33.14326 -27.57404 -20.89375 -25.04652 -25.13958 -24.60383

6.202758 -31.0244 -33.0315 -26.3413 -24.3388 -27.4878 -24.4487 -22.4009 62.55832 -42.7989 -43.0804 -42.1733 -41.8603 -44.2655 -48.3104 -44.2503 122.8 2.411358 -1.38004 9.994157 13.78771

-79.0725 -77.6125 -77.4618 -89.1259 -92.9983 -83.318 -78.9259 -79.7588 -76.3191 -71.0572 -32.8539 -84.9959 -86.6616 -80.3445 -78.8346 -76.6389 -78.7689 -77.8776 10.56271 -74.5548 -72.4784 -80.784 -90.7467 -79.0071 -81.2386 -86.0047 9.285938 -29.8838 -27.6562 -35.0814 -37.304 -33.3622 -33.7342 -32.0867 8.555992 16.54874 21.03826 6.572027 1.58038 2.780682 5.149954 9.750192 -3.99 12.54341 15.80088 6.02847 2.769154

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Perhitungan Analisis Data Theodolit - Tugas Muslimah Klempk 2

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