PATOK UTAMA

I. SUDUT

A. Sudut Dalam (SDn)

SDn = SD belakang – SD depan

SD1 = (P1 – P6) – (P1 – P2)

= 227 – 119 = 108

SD2 = (P2 – P1) – (P2- P3)

= 302 – 152 = 150

SD3 = (P3 – P2) – (P3 – P4)

= 326 – 240 = 86

SD4 = (P4 – P3) – (P4 – P5)

= 67 – 283 = - 216 + 360 = 144

SD5 = (P5 – P4) – (P5 – P6)

= 106 – 326 = -216 + 360 = 140

SD6 = (P6 – P5) – (P6 – P7)

= 144 – 49 = 95

B. Koreksi Sudut Dalam (KSDn)

KSD = SDN – (n – 2) x 180o

= (108 + 150 + 86 + 144 + 140 + 95) – (6 – 2) x 180o

= 723 – 4 x 180o

= 723 – 720 = 3o

C. Faktor Koreksi Sudut Dalam (FKSDn)

FKSDn = xx KSDn SDnSDn

FKSD1 = x 3 = 0.44813278

FKSD2 = x 3 = 0.622406639

FKSD3 = x 3 = 0.356846473

FKSD4 = x 3 = 0.597510373

FKSD5 = x 3 = 0.580912863

FKSD6 = x 3 = 0.394190871

D. Sudut Dalam Terkoreksi (SDTn)

SDTn = SDn + FKSDn

SDTn = (n-2) x 180o

SDT1 = 108 – 0,44813278

= 107,5518672

SDT2 = 150 – 0,622406639

= 149,3775934

SDT3 = 86 – 0,356846473

= 85,64315353

SDT4 = 144 – 0,597510373

= 143,4024896

SDT5 = 140 – 0,580912863

= 139,4190871

SDT6 = 95 – 0,394190871

= 94,60580913

108 723

150 723

86 723

144 723

140 723

95 723

SDTN = (n - 2) x 180o

720 = (6 – 2) x 180o

720 = 720

E. Sudut Dalam Patok Detail (SDPDn)

SDPDn = Sd depan – Arah Detail, atau Arah Detail – Arah Depan

SDPD1 = (P6 – PD1) – (P6 – P1)

= 94,1 – 49 = 45,1

SDPD2 = (P1 – PD2) – (P1 – P2)

= 165 – 119 = 46

SPD3 = (P3 – PD3) – (P3 – P4)

= 275 – 240 = 35

II. SLOPE

A.Koreksi Slope

=

=

= 0,40229885

B. Faktor Koreksi Slope (FKSn)

FKSn = x Sn

FKS1 = 0,40229885 x (-7,166666667) = -2,883141758

FKS2 = 0,40229885 x (-10,08333333) = -4,056513403

FKS3 = 0,40229885 x (-3,083333333) = -1,240421454

[ Slope ] [Slope]

(-7,166666667) + (-10,08333333) + (-3,083333333) + 4 + 3 + 1,66666667) 29

[ Slope] [Slope]

FKS4 = 0,40229885 x 4 = 1,6091954

FKS5 = 0,40229885 x 3 = 1,20689655

FKS6 = 0,40229885 x 1,66666667 = 0,670498084

C. Slope terkoreksi

STn = Sn + FKSn

ST1 = -7,166666667 + (-2,883141758) = -10,04980843

ST2 = -10,08333333 + (-4,056513403) = -14,13984673

ST3 = -3,083333333 + (-1,240421454) = -4,323754787

ST4 = 4 + 1,6091954 = 5,6091954

ST5 = 3 + 1,20689655 = 4,20689655

ST6 = 1,66666667 + 0,670498084 = 2,337164754

III. JARAK

A Jarak Horizontal (JHn)

JHn = Jarak lapangan x Cos STn

JH1 = 22,8 x Cos (-10,04980843)

= 22,45016649

JH2 = 14,6 x Cos (-14,13984673)

= 14,15765441

JH3 = 21,7 x Cos (-4,323754787)

= 21,63824097

JH4 = 23,08 x Cos 5,6091954

= 22,96948664

JH5 = 13,85 x Cos 4,20689655

= 13,81268332

JH6 = 36,4 x Cos 2,337164754

= 36,36972079

B. Jarak Horizontal Patok Detail (JHPDn)

JHPDn = Jarak lapangan x Cos Slope

JHPD1 = 15,80 x Cos -3

(P6 – Pd1)

= 15,80 x 0,998629534

= 15,77834665

JHPD2 = 14,7 x Cos -3,083333333

(Pd1–Pd2)

= 14,67871968

JHPD3 = 12,9 x cos 4,166666667

= 12,86590423

C. Jarak Vertikal (JVn)

JVn = Jarak Lapangan x Sin STn

JV 1-2 = 22,8 x Sin -10,04980843

= -3,978696355

JV 2-3 = 14,60 x Sin 14,13984673

= -3,566626068

JV 3-4 = 21,7 x Sin -4,323754787

= -1,636009711

JV 4-5 = 23,08x Sin 5,6091954

= 2,255899729

JV 5-6 = 13,85 x Sin 4,20689655

= 1,016011636

JV 6-1 = 36,4x Sin 2,337164754

= 1,484388681

D. Faktor Koreksi Jarak Vertikal (FKJVn)

=

= 0,31748808

E. Koreksi Jarak Vertikal

x [JVn]

KJV1 = 0,31748808 x 3,978696355

= 1,263188667

KJV2 = 0,31748808 x 3,566626068

= 1,132361262

KJV3 = 0,31748808 x 1,636009711

= 0,519413582

KJV4 = 0,31748808 x 2,29534705

= 0,716221273

KJV5 = 0,31748808 x 1,016011636

= 0,322571583

KJV6 = 0,31748808 x 1,484388681

= 0,471275712

F. Jarak Vertikal Terkoreksi (JVTn)

JVTn = JVn + KJVn

JVT1 = -3,978696355 + 1,263188667

= -2,715507688

JVT2 = -3,566626068 + 1,132361262

[ JVn] [JVn]

[JVn] JVn

= -2,434264806

JVT3 = -1,636009711 + 0,519413582

= -1,116596129

JVT4 = 2,255899729 + 0,716221273

= 2,972121002

JVT5 = 1,016011636 + 0,322571583

= 1,338583219

JVT6 = 1,484388681 + 0,471275712

= 1,955664393

Jadi, JVTn = 0,000000009

G. Jarak Vertikal Patok Detail (JVPDn)

JVPDn = Jarak Lapangan x Sin slope

JVPD1 = 15,80 x Sin (-3)

(P6-PD1) = 15,80 x (-0,052335956)

= -0,826908108

JVPD2 = 14,72 x Sin (-3,083333333)

= -0,791764484

JVPD3 = 12,9 x Sin 4,166666667

= 0,937287822

Jadi JVPD tot = -0,68138477

IV. Tinggi Patok

F. Tinggi Patok Utama

Tn = Tn – 1 + JVTn -1

T1 = 36

T2 = 36 + JVT1

= 36 + (-2,715507688)

= 33.28449231

T3 = T2 + JVT2

= 33.28449231+ (-2,434264806)

= 30.8502275

T4 = T3 +JVT3

= 30.8502275 + (-1,116596129)

= 29.73363137

T5 = T4 +JVT4

= 29.73363137 + 2,972121002

= 32.70575237

T6 = JVT5 + T5

= 32.70575237 + 1,338583219

= 34.04433559

G. Tinggi Patok Detail (TDn)

TDn = Tn + JVPDn

TD1 = 34.04433559+ (-0,826908108) = 33.21742748

TD2 = 36+ (-0,791764484) = 35.20823552

TD3 = 30.8502275+ 0,937287822 = 31.78751532

V. AZIMUTH

H. Perhitungan Azimuth Patok Utama (Azn)

Azn = Azn-1 – 180 – SDTn

AZ1 = Arah P1 ke P2 119

AZ2 = 119 – 180 -149,3775934 + 360

= 149,6224066

AZ3 = 149,6224066 – 180 – 85,64315353 + 360

= 243,9792531

AZ4 = 243,9792531 – 180 – 143,4024896 + 360

= 280,5767635

AZ5 = 280,5767635 – 180 – 139,4190871 + 360

= 321,1576764

AZ6 = 321,1576764 – 180 – 94,60580913 + 360

= 46,55186727

I. Penentuan Azimuth Detail (AZDn)

AZDn = Azn + SDPDn

AZD1 = AZ6 +SDPD1

= 46,55186727 + 45,1 = 91,55186727

AZD2 = AZ1 + SDPD2

= 119 + 46 = 165

AZD3 = AZ3 + SDPD2

= 243,9792531 + 35 = 278,9792531

VI. KOORDINAT X

A. Perhitungan Koordinat x (KXn)

KXn = JHn x Sin Azn

KX1 = 22,45016649 x Sin 119 = 19,63535804

KX2 = 14,15765441 x Sin 149,6224066 = 7,159475195

KX3 = 21,63824097 x Sin 243,9792531 = -19,44488614

KX4 = 22,96948664 x Sin 280,5767635 = -22,57923209

KX5 = 13,81268332 x Sin 321,1576764 = -8,663029422

KX6 = 36,36972079 x Sin 46,55186724 = 26,4043158

B. Faktor Koreksi Koordinat X (FKXn)

FKXn = x [Xn] = 0,024180295

FKX1 = 0,024180295 x 19,63535804 = 0,474788749

FKX2 = 0,024180295 x 7,159475195 = 0,173118222

FKX3 = 0,024180295 x 19,44488614 = 0,470183083

FKX4 = 0,024180295 x 22,57923209 = 0,545972492

FKX5 = 0,024180295 x 8,663029422 = 0,209474607

FKX6 = 0,024180295 x 26,4043158 = 0,638464145

C. Koordinat x Terkoreksi (KXTn)

KXTn = Xn + KXn

KXT1 = 19,63535804 – 0,474788749 = 19,16056929

KXT2 = 7,159475195 – 0,173118222 = 6,986356973

KXT3 = -19,44488614 – 0,470183083 = -19,91506922

KXT4 = -22,57923209 – 0,545972492 = -23,12520458

KXT5 = -8,656984336 – 0,209474607 = -8,872504029

KXT6 = 26,41514492 – 0,0638464145 = 25,76585166

= 0,000000085

D.Koordinat x

Xn = Xn-1 + KXTn-1

X1 = 0

X2 = 0 + 19,16056929 = 19,16056929

X3 = 19,16056929 + 6,986356973 = 26,14692626

X4 = 26,14692626 + (-19,91506922) = 6,231857043

X5 = 6,231857043 + (-23,12520458) = -16,89334754

XTn

X6 = -16,89334754 + (-8,872504029) = -25,76585157

E. Koordinat x Patok Detail (KXPDn)

KXPDn = JHPDn X Sin AZDn

KXPD1 = 15,77834665 X Sin 91,55186727 = 15,77255945

(P6-Pd1)

KXPD2 = 14,67871968 X Sin 165 = 3,799132211

(Pd1-Pd2)

KXPD3 = 12,86590423 x Sin 278,9792531 = -12,70846706

F. Koordinat X

X PDn = Xn + XPDn

XPD1 = -25,76585157 + 15,77255945 = -9,99329212

XPD2 = 0 + 3,79913211 = 3,799132211

XPD3 = 26,14692626 + (-12,70846706) = 13,4384592

VII. KOORDINAT Y

A.Perhitungan Koordinat Yaitu

KYn = JHn x Cos Azn

KY1 = 22,45016649 x Cos 119

= 22,45016649 X (-0,48480962) = -10,88405669

KY2 = 14,15765441 x Cos 149,6224066

= 14,15765441 x (-0,862711497) = -12,21397123

KY3 = 21,63824097 x Cos 243,9792531

= 21,63824097 x (-0,438696572) = -9,492622157

KY4 = 22,96948664 x Cos 280,5767635

22,96948664 x 0,183552702 = 4,216111336

KY5 = 13,81268332 x Cos 321,1576764

= 13,81268332 x 0,778874888 = 10,75835218

KY6 = 36,36972079 x Cos 46,55186727

= 36,36972079 x 0,687697645 = 25,01137134

== (-10,88405669) + (-12,21397123) + (-9,492622157) +

4,216111336 + (10,75835218) + (25,01137134)

= 7,395184779

[Yn] = 72,57648493

= 0,101895053

B.Koreksi Koordinat Y (KKYn)

KKYn = x [Yn]

KKY1 = 0,101895053 x 10,88405669 = 1,109031533

KKY2 = 0,101895053 x 12,21397123 = 1,244543246

KKY3 = 0,101895053 x 9,492622157 = 0,967251237

KKY4 = 0,101895053 x 4,216111336 = 0,429600888

KKY5 = 0,101895053 x 10,75835218 = 1,096222866

KKY6 = 0,101895053 x 25,01137134 = 2,548535008

C.Koordinat Y Terkoreksi (KYTn)

KYTn = Yn + KKYn

KYT1 = Y1 – KKY1

= -10,88405669) – (1,109031533) = -11,99308822

KYT2 = (-12,21397123) – (1,244543246) = -13,45851448

KYT3 = (-9,492622157) – (0,967251237) = -10,45987339

[Yn]

[ Yn] [Yn]

[ Yn] [Yn]

KYT4 = (4,216111336) – (0,429600888) = 3,786510448

KYT5 = ( 10,75835218) – (1,096222866) = 9,662129314

KYT6 = 25,01137134 – 2,548535008 = 22,46283633

D.Koordinat Y

Yn = Yn-1 + KYTn-1

Y1 = 0

Y2 = 0 + (-11,99308822) = -11,99308822

Y3 = -11,99308822 + (-13,45851448) = -25,4516027

Y4 = -25,4516027 + (-10,45987339) = -35,91147609

Y5 = -35,91147609 + 3,786510448 = -32,12496564

Y6 = -32,12496564 + 9,662129314 = -22,46283633

E.Koordinat Y Patok Detail (KYPDn)

KYPDn = JHPDn x Cos AZDn

KYPD1 = JHPD1 x Cos AZD1

= 15,77834665 x Cos 91,55186727

= -0,42730732

KYPD2 = JHPD2 x Cos AZD2

= 14,67871968 x Cos 165

= -14,17855444

KYPD3 = JHPD3 x Cos AZD3

= 12,86590423 x Cos 278,9792531

= 2,008069305

F. Koordinat Y

YPD1 = -22,46283633 + (-0,42730732) = -22,89014365

YPD2 = 0 + (-14,17855444) = -14,17855444

YPD3 = -25,4516027+ 2,008069305 = -23,4435334

KOORDINAT PATOK UTAMA

31.78751532

Pn = (Xn,Yn,Tn)

P1 = 0 ; 0 ; 36

P2 = 19,16 ; -11,99 ; 33.28P3 = 26,14 ; -25,45 ; 30.85P4 = 6,23 ; -35,91 ; 29.73P5 = -16,89 ; -32,12 ; 32.70P6 = -25,76 ; -22,46 ; 34.04

KOORDINAT PATOK DETAIL

PDn = (Xn ; Yn ; Tn)

PD1 = (-9,908 ; -23,074 ; 35.20)

PD2 = (3,799 ; -14,178 ; 33.22)

Perhitungan Koreksi Gambar

P1 ke P2 = x 4,6

= x 4,6

= 0,79

P2 ke P3 = x 4,6

= x 4,6 = 0,5

P3 ke P4 = x 4,6

P12

Ptot

22,62131,9

P23

Ptot

P34

Ptot

14,37131,9

21,67131,9

= x 4,6

= 0,76

P4 ke P5 = x 4,6

= x 4,6

= 0,76

P5 ke P6 = x 4,6

= x 4,6

P6 ke P1 = x 4,6

= x 4,6

= 1,27

P45Ptot

23,02131,9

P56Ptot

13,83131,9

P61Ptot

36,39131,9