waterpass dan theodolit

THEODOLIT

BAB IV

PERHITUNGAN DATA4. 1. WATER PASS

4.1.1 Perhitungan Jarak Optis (D)

Rumus :

D = (BA BB) x 100

Ket:D

=Jarak optis

BA=Benang atas

BB=Benang bawahA. Perhitungan jarak optis untuk pergi (Patok belakang Patok muka)

a.D

P0=(1,504 1,254) x 100=25 m

D

P1 =(1,370 1,120) x 100=25 m

D P0 P1=50 mb.D

P1=

(1,420 1,140) x 100=28 m

D

P2 =

(1,430 1,150) x 100=28 m

D P1 P2=56 mc.D

P2=

(1,310 1,010) x 100=30 m

D

P3 =

(1,360 1,060) x 100=30 m

D P2 P3=60 md.D

P3=

(1,416 1,166) x 100=25 m

D

P4 =

(1,438 1,188) x 100=25 m

D P3 P4= 50 me.D

P4=

(1,530 1,150) x 100=38 m

D

P5 =

(1,550 1,170) x 100=38 m

D P4 P5=76 mf.D

P5=

(1,440 1,140) x100 = 30 m

D

P6 =

(1,360 1,060) x 100= 30 m

D P5 P6=60 mg.D

P6=

(1,730 1,480) x 100= 25 m

D

P7 =

(1,469 1,219) x 100=25 m

D P6 P7=50 mB. Perhitungan jarak optis untuk pulang (Patok muka Patok belakang)

a.D

P1=(1,372 1,132) x 100= 24 m

D

P0 =(1,520 1,260) x 100= 26 m

D P1 P0= 50 m

b.D

P2=(1,431 1,161) x 100= 27 m

D

P1 =(1,430 1,140) x 100= 29 m

D P2 P1= 56 mc.D

P3=(1,323 1,033) x 100= 29 m

D

P2 =(1,285 0,975) x 100= 31 m

D P3 P2= 60 m

d.D

P4=(1,421 1,181) x 100= 24 m

D

P3 =(1,410 1,150) x 100= 26 m

D P4 P3= 50 me.D

P5=(1,548 1,178) x 100= 37 m

D

P4 =(1,539 1,149) x 100= 39 m

D P5 P4= 76 mf.D

P6=(1,370 1,080) x 100= 29 m

D

P5 =(1,460 1,150) x 100= 31 m

D P6 P5= 60 mg.D

P7=(1,465 1,225) x 100=24 m

D

P6 =(1,740 1,480) x 100=26 m

D P7 P6= 50 m

4.1.2 Perhitungan jarak optis rata-rata (Dr)

Rumus :Ket:Dr=Jarak optis rata-rata

Dpergi=Jarak optis (Patok belakang Patok muka)

Dpulang=Jarak optis (Patok muka Patok belakang)

Dr PO P1= 50 + 50

= 50m

2mDr P1 P2= 56 + 56

= 56m

2

Dr P2 P3= 60 + 60

= 60m

2

Dr P3 P4= 50 + 50

= 50m

2

Dr P4 P5= 76 + 76

= 76m

2

Dr P5 P6= 60+ 60

= 60m

2

Dr P6 P7= 50 + 50

= 50 m +

2

= 402,0004.1.3 Perhitungan beda tinggi (H) patok utama

Rumus:

H = BT belakang BT muka

Ket: H=Beda tinggi

BT=Benang tengah

H=Jumlah total beda tinggi

1. Perhitungan beda tinggi untuk pergi (Patok belakang Patok muka)

H.P0 P1=(1,380 1,245)= 0,135 m

H.P1 P2=(1,280 1,290)=- 0,01 m

H.P2 P3=(1,160 1,210)=- 0,05 m

H.P3 P4=(1,291 1,313)=- 0,022 m

H.P4 P5=(1,340 1,360)=- 0,02 m

H.P5 P6=(1,289 1,210)=0,079 m

H.P6 P7=(1,605 1,344)= 0,261 m +

H= 0,373 m

2. Perhitungan beda tinggi untuk pulang (Patok muka Patok belakang)

H.P0 P1=(1,252 1,389)=- 0,137 m

H.P1 P2=(1,296 1,285)=0,011 m

H.P2 P3=(1,178 1,130)=0,048 m

H.P3 P4=(1,301 1,280)=0,021 m

H.P4 P5=(1,362 1,330)= 0,032 m

H.P5 P6=(1,225 1,305)=- 0,08 m

H.P6 P7=(1,345 1,610)=- 0,265 m +

H= -0,37 m

4.1.4 Perhitungan beda tinggi rata-rata (Hr)Rumus :

Ket:Hr=Beda tinggi rata-rata

H pergi=Beda tinggi rata-rata pergi

H pulang=Beda tinggi rata-rata pulang

Hr=Jumlah total beda tinggi rata-rata

Dr PO P1= [ 0,135 + 0,137 ]

= 0,136 m

2

Dr P1 P2=- [ 0,01 + 0,011 ]

= - 0,0105 m

2

Dr P2 P3=- [ 0,05 + 0,048 ]

= - 0,049 m

2

Dr P3 P4=- [ 0,022 + 0,021]

= - 0,0215 m

2

Dr P4 P5=- [ 0,02 + 0,032 ]

= - 0,026 m

2

Dr P5 P6= [ 0,079 + 0,08]

= 0,0795 m

2

Dr P6 P7= [ 0,261 + 0,265 ]

= 0,263 m+

2 = 0,3715 m4.1.7 Perhitungan tinggi titik patok utama

Rumus :

H=HP HK

Ket :H=tinggi titik patok utama

HP=diketahui tinggi patok

HK=beda tinggi setelah koreksi

H P0= 41 m

H P1= 41+ 0,136=41,136m

H P2=9,884+ (- 0,0105)=41,1255 m

H P3= 9,919+ (- 0,049)=41,0765 m

H P4=9,979 + (- 0,0215)=41,055 m

H P5= 9,948+ (- 0,026)=41,029 m

H P6=10,015 + 0,0795 =41,1085m

H P7= 9,993 + 0,263= 41,3715m

4.1.8 Perhitungan Beda Tinggi Detail

Rumus :

Hd=BT patok utama BT patok detail

Ket:Hd=Beda tinggi detail

BT= Benang tengah

Detail P0Hd P0 a=1,380 1,528=-0,148 m

Hd P0 b=1,380 1,425=-0,061m

Hd P0 c=1,380 1,350= 0,03m

Hd P0 1=1,380 1,390=

- 0,01 m

Hd P0 2=1,380 1,430= - 0,05m

Hd P0 3=1,380 1,476=-0,096m

Detail P1

Hd P1 a=1,280 1,200= 0,08m

Hd P1 b=1,280 1,223=

0,057m

Hd P1 c=1,280 1,266=0,014 m

Hd P1 1=1,280 1,090= 0,19 m

Hd P1 2=1,280 1,380=- 0,1 m

Hd P1 3=1,280 1,505=- 0,225 m

Detail P2Hd P2 a=1,160 1,120=

0,04 m

Hd P2 b=1,160 1,212= - 0,052 m

Hd P2 c=1,160 1,180= - 0,02m

Hd P2 1=1,160 1,218=- 0,058m

Hd P2 2=1,160 1,201=- 0,041m

Hd P2 3=1,160 1,172=- 0,012m

Detail P3Hd P3 a=1,291 1,306=- 0,015 m

Hd P3 b=1,291 1,297=- 0,006 m

Hd P3 c=1,291 1,271= 0,02 m

Hd P3 1=1,291 1,295= - 0,04 m

Hd P3 2=1,291 1,131=

0,16m

Hd P3 3=1,291 1,112=

0,179 m

Detail P4Hd P4 a=1,340 1,420= - 0,08 m

Hd P4 b=1,340 1,320= 0,02 m

Hd P4 c=1,340 1,300= 0,04 m

Hd P4 1=1,340 1,140= 0,20 m

Hd P4 2=1,340 1,150=

0,19m

Hd P4 3=1,340 1,500= - 0,16 m

Detail P5

Hd P5 a=1,289 1,310=-0,021m

Hd P5 b=1,289 1,315=- 0,026 m

Hd P5 c=1,289 1,305=-0,016 m

Hd P5 1=1,289 1,290=-0,001m

Hd P5 2=1,289 1,305=- 0,016m

Hd P5 3=1,289 1,090=

0,199m

Detail P6Hd P6 a=1,605 1,595=

0,010 m

Hd P6 b=1,605 1,598=

0,007m

Hd P6 c=1,605 1,590=

0,015 m

Hd P6 1=1,605 1,635=- 0,030 m

Hd P6 2=1,605 1,645=- 0,040 m

Hd P6 3=1,605 1,657=-0,052 m

Detail P7Hd P7 a=1,344 1,280=

0,064 m

Hd P7 b=1,344 1,272=

0,072m

Hd P7 c=1,344 1,195=

0,149 m

Hd P7 1=1,344 1,327=

0,017 m

Hd P7 2=1,344 1,350=- 0,006 m

Hd P7 3=1,344 1,110=

0,234 m

4.1.9 Perhitungan Tinggi Titik Detail

Rumus :

Hd=TT patok utama + Beda Tinggi detail

Ket:Hd=Tinggi titik detail

TT= Tinggi Titik

Hd P0=41 m

Hd P0 a=41+ ( -0,148 )= 40,852 m

Hd P0 b=41

+ ( -0,045)= 40,955 m

Hd P0 c=41

+ 0,03= 41,030 m

Hd P0 1=41

+ ( -0,01 ) = 40,990 m

Hd P0 2=41

+ ( -0,05 )= 40,950 m

Hd P0 3=41+ ( - 0,096 )

= 40,904 m

Hd P1=41,136 m

Hd P1 a=41,136 + 0,08 = 41,216 m

Hd P1 b=41,136 + 0,057 = 41,193 m

Hd P1 c=41,136 + 0,014 = 41,150 m

Hd P1 1=41,136 + 0,19 = 41,326 m

Hd P1 2=41,136 + ( -0,1 ) = 41,036 m

Hd P1 3=41,136 + ( -0,225 ) = 40,991 m

Hd P2=41,1255 m

Hd P2 a=41,1255 + 0,04 = 41,166 m

Hd P2 b=41,1255 + ( -0,052) = 41,074 m

Hd P2 c=41,1255 + ( -0,02) = 41,106 m

Hd P2 1=41,1255 + ( -0,058) = 41,068 m

Hd P2 2=41,1255 + ( -0,041) = 41,085 m

Hd P2 3=41,1255 + ( -0,012) = 41,114 mHd P3=41,0765 m

Hd P3 a=41,0765 + ( -0,015 )= 41,062m

Hd P3 b=41,0765 + ( -0,006 )= 41,071m

Hd P3 c=41,0765 + 0,02

= 41,097m

Hd P3 1=41,0765 + ( -0,004 )= 41,073m

Hd P3 2=41,0765 + 0,16

= 41,237m

Hd P3 3=41,0765 + 0,179

= 41,256m

Hd P4=41,055 m

Hd P4 a=41,055 + ( -0,08)= 40,975 m

Hd P4 b=41,055 + 0,02= 41,075m

Hd P4 c=41,055 + 0,04= 41,085 m

Hd P4 1=41,055 + 0,20= 41,255 m

Hd P4 2=41,055 + 0,19= 41,245 m

Hd P4 3=41,055 + ( -0,16)= 40,895m

Hd P5=41,029 m

Hd P5 a=41,029 + ( -0,021 ) = 41,008 m

Hd P5 b=41,029 + ( -0,026) = 41,003 m

Hd P5 c=41,029 + ( -0,016) = 41,013 m

Hd P5 1=41,029 + ( -0,001) = 41,028 m

Hd P5 2=41,029 + ( -0,016) = 41,013 m

Hd P5 3=41,029 + 0,199 = 41,228 m

Hd P6 =41,1085 m

Hd P6 a=41,1085 + 0,010= 41,119 m

Hd P6 b=41,1085 + 0,007= 41,116 m

Hd P6 c=41,1085 + 0,015= 41,124 m

Hd P6 1=41,1085 + ( -0,030) = 41,079 m

Hd P6 2=41,1085 + ( -0,040) = 41,069 m

Hd P6 3=9,993 + (-0,052)= 41,057 m

Hd P7=41,3715 m

Hd P7 a=41,3715 + 0,064 =41,436 m

Hd P7 b=41,3715 + 0,072 =41,444 m

Hd P7 c=41,3715 + 0,149 =41,521 m

Hd P7 1=41,3715 + 0,017 =41,389 m

Hd P7 2=41,3715 + (-0,006) =41,366 m

Hd P7 3=41,3715 + 0,234 =41,606 m

4.1.10 Perhitungan Kemiringan Patok Utama/MemanjangRumus :M =(TT patok utama belakang TT patok utama muka)Jarak patok

Ket:TT=Tinggi titik

M =Persentase kemiringan patok utama/memanjang

M P0 - P1=( 41 41,136 )=-0,272 %

50

M P1 - P2=(41,136 41,1255)=0,019 %

56M P2 - P3= (41,1255 41,0765)=0,082 %

60M P3 - P4= (41,0765 41,055)=0,043 %

50 M P4 - P5=(41,055 41,029)=0,034 %

76M P5 - P6= (41,029 41,1085)=-0,133 %

60M P6 - P7= (41,1085 41,3715)=-0,526 %

50

4.1.11 Perhitungan Kemiringan Patok Detail/Melintang

Rumus :

m =(Tinggi titik patok utama tinggi detail)

Jarak detail

Ket :m = Persentase kemiringan patok detail melintang

Detail P0 m P0 - a=( 41 40,852 )= 2,960 %

5

m P0 - b=( 41 40,955 )= 1,125 %

4

m P0 - c=( 41 41,030 )= -1,500 %

2

m P0 - 1=( 41 40,990 )= 0,500 %

2

m P0 - 2=( 41 40,950 )= 1,250 %

4

m P0 - 3=( 41 40,904 )= 1,920 %

5

Detail P1m P1 - a=( 41,136 41,216)= -1,600 %

5

m P1 - b=( 41,136 41,193)= -1,425 %

4

m P1 - c=( 41,136 41,150)= -0,700 %

2

m P1 - 1=( 41,136 41,326)= -9,500 %

2

m P1 - 2=( 41,13641,036)= 2,500%

4

m P1 - 3=( 41,13640,911)= 4,500 %

5

Detail P2m P2 - a=( 41,1255 41,166)=-0,810 %

5

m P2 - b=(41,1255 41,074)=1,288 %

4

m P2 - c=(41,1255 41,106)=0,975 %

2

m P2 - 1=(41,125541,068)= 2,875 %

2

m P2 - 2=(41,125541,085)=1,013 %

4

m P2 - 3=(41,125541,114)= 0,230 %

5

Detail P3m P2 - a=(41,0765 41,062)=0,290 %

5

m P2 - b=(41,0765 41,071)=0,138 %

4

m P2 - c=(41,0765 41,097)=-1,025 %

2

m P2 - 1=(41,0765 41,073)= 0,175 %

2

m P2 - 2=(41,0765 41,237)=-4,013 %

4

m P2 - 3=(41,0765 41,256)=-3,590 %

5Detail P4m P4 - a=(41,05540,975)= 1,600 %

5

m P4 - b=(41,05541,075)= -0,500 %

4

m P4 - c=(41,05541,095)= -2,000 %

2

m P4 - 1=(41,05541,255)= -10,000 %

2

m P4 - 2=(41,05541,245)= -4,750 %

4

m P4 - 3=(41,05540,895)= -3,200 %

5

Detail P5m P5 - a=(41,02941,008)= 0,420 %

2

m P5 - b=(41,02941,003)= 0,650 %

4

m P5 - c=(41,029 41,013)= 0,800 %

5

m P5 - 1=(41,02941,028)= 0,050 %

2

m P5 - 2=(41,02941,013)= 0,400 %

4

m P5 - 3=(41,02941,228)= -3,980 %

5

Detail P6m P6 - a=(41,108541,119)= -0,210 %

5

m P6 - b=(41,108541,116)= -0,188 %

4

m P6 - c=(41,108541,124)= -0,775 %

2

m P6 - 1=(41,108541,079)= 1,475 %

2

m P6 - 2=(41,108541,069)= 0,247 %

4

m P6 - 3=(41,108541,057)= 1,030 %

5

Detail P7m P7 - a=(41,371541,436)= -1,290 %

5

m P7 - b=(41,371541,444)= -1,813 %

4

m P7 - c=(41,371541,521)= -0,150 %

2

m P7 - 1=(41,371541,389)= -0.875 %

2

m P7 - 2=(41,371541,366)= 0,138 %

4

m P7 - 3=(41,371541,606)= -4,680 %

5

4.1.12 Perhitungan Luasan Timbunan

Rumus :

lPersegi Panjang

p

= p x l

Segitiga

t

= a.t

a

bTrapesium

c

4.2.13. Perhitungan Volume Timbunan Dan TimbunanRumus :

Ket : Ltb=Jumlah luas timbunan belakang

Ltm= Jumlah luas timbunan muka

Dr=Jarak optis rata-rata Rumus :

Vg=

ket: L gb=Jumlah luas galian belakang

L gm=Jumlah luas galian muka

Dr=Jarak optis rata-rata4. 2. THEODOLIT

4.2.1 Perhitungan Sudut HorizontalRumus:( = Bacaan Muka (Pm) Bacaan Belakang (Pb)

Jika ( 0 maka ( + 3600

( 3600 maka ( - 3600Ket :(=Bacaan sudut biasa patok utama

Pm=Patok muka

Pb=Patok belakang

( P0

=272( 26( 40(( 0( 00( 00(= 272( 26( 40(( P1=158( 12( 40((60( 08( 00(= 98( 04( 40(( P2=335( 34( 50((357( 23( 30( + 360(= 338( 11( 20(( P3=286( 45( 20((18( 56( 10(= 267( 49 ( 10(( P4=201( 23( 10((277( 51( 20( + 360(= 283( 31( 50( +

(( P= 1260( 03( 40(4.2.2 Perhitungan Koreksi Sudut HorizontalRumus F( = (n + 2) x 180 - (( P

Ket :F(=Koreksi

n=Jumlah patok

(( P=Jumlah ( (bacaan sudut biasa)

F( =(5 + 2) x 180 - (( P

= 7 x 180 ( 1260( 03( 40(

=-00( 03( 40(4.2.3 Perhitungan Koreksi Sudut Jurusan BerpatokRumus

Ket :K( =Sudut koreksi tiap patok

F(

=Koreksi sudut

n

=Jumlah patok

=0( 00( 44((4.2.4 Perhitungan Sudut Jurusan Setelah KoreksiRumus :

( K = ( - K(Ket :( K=Sudut jurusan setelah koreksi

(=Sudut sebelum koreksi

K(=Sudut koreksi tiap patok

( K P 0 = 272( 03( 50( ( ( 00( 00( 44( ) = 272( 25( 56(( K P 1 = 98( 54( 30( ( ( 00( 00( 44( ) = 98( 03( 56(( K P 2 = 338( 25( 10( ( ( 00( 00( 44( ) = 338( 10( 36(( K P 3 = 267( 33( 20( ( ( 00( 00( 44( ) = 267( 48( 26(( K P 4 = 283( 5( 40( ( ( 00( 00( 44( ) = 283( 31( 6( +

(( K = 1260( 0( 00(4.2.5 Perhitungan Sudut Horizontal/ sudut jurusan detailRumus :(d = Bacaan Horizontal Sudut Biasa Detail Bacaan Horizontal Patok Belakang

Jika ( 0 maka ( + 3600

( 3600 maka ( - 3600Ket : (d = Sudut jurusan detail

(d P 0(d a = 283( 27( 50( (00( 00( 00(

=283( 17( 50((d b= 321( 12( 30( (00( 00( 00(

=321( 49( 30((d c=346( 46( 40( (00( 00( 00(

=346( 11( 40((d 1 = 51( 44( 40( (00( 00( 00(

= 51( 48( 40((d 2 = 148( 20( 20( (00( 00( 00(

=148( 17( 20((d 3 = 205( 22( 40( (00( 00( 00(

=205( 22( 40((d P 1(d a =187( 04( 00( ( 60( 08( 00(

=126( 56( 00((d b =271( 19( 50( ( 60( 08( 00(

=211( 11( 50((d c = 11( 15( 50( ( 60( 08( 00( ( 360( =311( 07( 50((d 1 = 78( 51( 00( ( 60( 08( 00( = 18( 43( 00((d 2 = 111( 04( 00( ( 60( 08( 00(

= 50( 56( 00((d 3 = 150( 13( 50( ( 60( 08( 00( = 80( 05( 50((d P 2(d a =342( 88( 10( (357( 23( 30((360(=344( 41( 40((d b =354( 41( 30( (357( 23( 30((360(=356( 42( 40((d c = 00( 88( 80( (357( 23( 30((360(= 02( 41( 00((d 1 = 94( 03( 20( (357( 23( 30((360( = 97( 24( 00((d 2= 129( 44( 20( (357( 23( 30((360( = 132( 23( 00((d 3 = 308( 19( 40( (357( 23( 30((360(= 311( 19( 00((d P 3(d a =316( 49( 30( (18( 56( 10(

=297( 53( 20((d b =342( 01( 40( (18( 56( 10(

=323( 05( 30((d c =356( 25( 50( (18( 56( 10(

=337( 29( 40((d 1 = 47( 21( 10( (18( 56( 10(

= 28( 29( 00((d 2 = 191( 21( 00( (18( 56( 10(

= 172( 24( 50((d 3 = 231( 43( 30( (18( 56( 10(

= 212( 47( 20((d P 4(d a =213( 57( 10( (277( 51( 20(( 360(=296( 05( 50((d b =234( 24( 00( (277( 51( 20(( 360(=316( 32( 40((d c =265( 56( 00( (277( 51( 20(( 360(=348( 04( 40((d 1 =305( 39( 20( (277( 51( 20(= 27 ( 48( 00((d 2 = 90( 42( 10( (277( 51( 20(( 360(=172( 50( 50((d 3 = 158( 30( 20( (277( 51( 20(( 360(=240( 39( 00(4.2.6 Perhitungan Sudut Azimuth Patok UtamaRumus :

( = ( diketahui ( ( u ( 180(

Jika ( 0 maka ( + 3600 ( 3600 maka ( - 3600Keterangan :

(=Azimut

(dik=Azimut diketahui

( u=Sudut jurusan titik utama setelah koreksi

( P0= 41( 14( 41(( P1= 41( 14( 41( ( 98( 03( 56( ( 180( 00( 00( ( 360(

=319( 18( 37(( P2=319( 18( 37( (338( 10( 36( ( 180( 00( 00( ( 360(

=117( 29( 13(( P3=117( 29( 13( (267( 48( 26( ( 180( 00( 00(

=205( 17( 39(( P4=205( 17( 39( (283( 31( 06( ( 180( 00( 00(

=308( 48( 45(( P0=308( 48( 45( (272( 25( 56( ( 180( 00( 00( ( 360(

= 41 ( 14( 41(4.2.7 Perhitungan Azimuth Patok DetailRumus :

d = Azimuth patok utama ( Sudut detail ( 180(Jika ( 0 maka ( + 3600

( 3600 maka ( - 3600Keterangan :

(d=Azimut detail

(d=Sudut jurusan detail

(d P0

(d a=308( 48( 45( (283( 33( 30((180( 00( 00( - 360(= 52( 22( 15((d b =308( 48( 45( (321( 46( 30((180( 00( 00( - 360(= 90( 35( 15((d c=308( 48( 45( (346( 30( 40((180( 00( 00( - 360(=115( 19( 26((d 1=308( 48( 45( ( 51( 34( 40((180( 00( 00(=180( 23( 25((d 2=308( 48( 45( (148( 45( 40((180( 00( 00(=277( 34( 25((d 3=308( 48( 45( ( 205( 42( 50((180( 00( 00(=334( 31( 35((d P1

(d a=41 ( 14( 41( ( 126( 56( 00((180( 00( 00( + 360(= 348( 10( 41((d b=41 ( 14( 41( ( 211( 11( 50((180( 00( 00(

= 72( 26( 31((d c=41 ( 14( 41( ( 311( 07( 50((180( 00( 00(

= 172( 22( 31((d 1=41 ( 14( 41( ( 18( 43( 00((180( 00( 00( + 360(= 239( 57( 41((d 2=41 ( 14( 41( ( 50( 56( 00((180( 00( 00( + 360(= 272( 10( 41((d 3=41 ( 14( 41( ( 90( 05( 50((180( 00( 00( + 3600= 311( 20( 31((d P2

(d a=319( 18( 37( ( 334( 88( 10((180( 00( 00( - 360(=114( 46( 47((d b=319( 18( 37( ( 356( 41( 30((180( 00( 00( - 360(=136( 00( 07((d c=319( 18( 37( ( 02( 88( 80((180( 00( 00(

=142( 47( 57((d 1=319( 18( 37( ( 97( 03( 20((180( 00( 00(

=236( 21( 57((d 2=319( 18( 37( ( 132( 44( 20((180( 00( 00(

=272( 02( 57((d 3=319( 18( 37( ( 311( 19( 40((180( 00( 00( - 360(= 90( 38( 17((d P3 (d a=117( 29( 13( ( 297( 53( 20((180( 00( 00( =235( 22( 33((d b =117( 29( 13( ( 323( 05( 30((180( 00( 00(

=260( 34( 43((d c=117( 29( 13( ( 337( 29( 40((180( 00( 00(=274( 58( 53((d 1=117( 29( 13( ( 28( 29( 00((180( 00( 00( + 360(=325( 58( 13((d 2=117( 29( 13( ( 172( 24( 50((180( 00( 00(=109( 54( 03((d 3=117( 29( 13( ( 212( 47( 20((180( 00( 00(=150( 16( 33((d P4

(d a=205( 17( 39( ( 296( 05( 50((180( 00( 00( =321( 23( 29((d b =205( 17( 39( ( 316( 32( 40((180( 00( 00(

=341( 50( 19((d c=205( 17( 39( ( 348( 04( 40((180( 00( 00( - 3600= 13( 22( 19((d 1=205( 17( 39( ( 27( 48( 00((180( 00( 00( = 53( 05( 39((d 2=205( 17( 39( ( 172( 50( 50((180( 00( 00(=198( 08( 29((d 3=205( 17( 39( ( 240( 39( 00((180( 00( 00( =265( 56( 39(4.2.8 Perhitungan sudut lereng patok utamaRumus :

( u = 90( VKet :( L=Sudut lereng

V=Bacaan sudut vertical patok

( u P0 = 90( 00( 00( ( 90( 00( 00( = 00( 00( 00(( u P1 = 90( 00( 00( ( 90( 00( 00( = 00( 00( 00(( u P2 = 90( 00( 00( ( 90( 00( 00( = 00( 00( 00(( u P3 = 90( 00( 00( ( 90( 00( 00( = 00( 00( 00(( u P4 = 90( 00( 00( ( 90( 00( 00( = 00( 00( 00(4.2.9 Perhitungan Sudut Lereng Patok DetailRumus :

( Ld = 90( VdKet :( Ld=Sudut lereng detail

Vd=Bacaan sudut vertical detail

( Ld P0 a=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 b=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 c=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 1=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 2=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 3=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P1 a=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P1 b=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P1 c=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P1 1=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 2=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 3=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P2 a=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P2 b=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P2 c=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P2 1=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 2=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 3=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P3 a=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P3 b=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P3 c=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P3 1=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 2=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 3=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P4 a=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P4 b=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P4 c=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P4 1=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 2=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 3=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P5 a=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P5 b=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P5 c=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P5 1=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 2=90( 00( 00( ( 90( 00( 00(=00( 00( 00(( Ld P0 3=90( 00( 00( ( 90( 00( 00(=00( 00( 00(4.2.10 Perhitungan Jarak Proyeksi Patok UtamaRumus :

D( = D cos2 ( uKet :D(=Jarak Proyeksi

D=Jarak optis

( u=Sudut lereng patok utama

D( P0

=(1,994 1,694)x 100 cos2 (00( 00( 00()=30 m

D( P1

=(1,310 0,710)x 100 cos2 (00( 00( 00()=60m

D( P2

=(2,000 1,270)x 100 cos2 (00( 00( 00()=73 m

D( P3

=(1,278 0,710)x 100 cos2 (00( 00( 00()=56,8 m

D( P4

=(1,615 1,344)x 100 cos2 (00( 00( 00()=27,1m +

( D(

=246,9 m

4.2.11 Perhitungan Jarak Proyeksi DetailRumus :

Dd( = D cos2 ( uKet :Dd(=Jarak Proyeksi detail

D=Jarak optis

( u=Sudut lereng patok utamaDd( P0 a=(1,604 1,484) x 100 cos2 (00( 00( 00()=12 m

Dd( P0 b=(1,611 1,481) x 100 cos2 (00( 00( 00()=13 m

Dd( P0 c=(1,504 1,394) x 100 cos2 (00( 00( 00()=11 m

Dd( P0 1=(1,364 1,264) x 100 cos2 (00( 00( 00()=10 m

Dd( P0 2=(1,512 1,392) x 100 cos2 (00( 00( 00()=12 m

Dd( P0 3=(1,523 1,413) x 100 cos2 (00( 00( 00()=11 m

Dd( P1 a=(1,100 1,000) x 100 cos2 (00( 00( 00()=10 m

Dd( P1 b=(1,195 1,115) x 100 cos2 (00( 00( 00()= 8 m

Dd( P1 c=(1,410 1,240) x 100 cos2 (00( 00( 00()=17 m

Dd( P1 1=(1,330 1,150) x 100 cos2 (00( 00( 00()=18 m

Dd( P1 2=(1,565 1,415) x 100 cos2 (00( 00( 00()=15 m

Dd( P1 3=(0,665 0,545) x 100 cos2 (00( 00( 00()=12 m

Dd( P2 a=(1,444 1,174) x 100 cos2 (00( 00( 00()= 27 m

Dd( P2 b=(1,261 1,121) x 100 cos2 (00( 00( 00()= 14 m

Dd( P2 c=(1,354 1,264) x 100 cos2 (00( 00( 00()= 9 m

Dd( P2 1=(1,293 1,183) x 100 cos2 (00( 00( 00()= 11 m

Dd( P2 2=(1,414 1,324) x 100 cos2 (00( 00( 00()= 9 m

Dd( P2 3=(0,754 0,614) x 100 cos2 (00( 00( 00()= 14 m

Dd( P3 a=(1,404 1,294) x 100 cos2 (00( 00( 00()=11 m

Dd( P3 b=(1,261 1,189) x 100 cos2 (00( 00( 00()= 17 m

Dd( P3 c=(1,354 1,058) x 100 cos2 (00( 00( 00()= 25 m

Dd( P3 1=(1,293 0,980) x 100 cos2 (00( 00( 00()= 17 m

Dd( P3 2=(1,414 1,175) x 100 cos2 (00( 00( 00()= 19 m

Dd( P3 3=(0,754 0,929) x 100 cos2 (00( 00( 00()= 19 m

Dd( P4 a=(1,625 0,455) x 100 cos2 (00( 00( 00()= 17 m

Dd( P4 b=(1,506 0,436) x 100 cos2 (00( 00( 00()= 7 m

Dd( P4 c=(1,721 0,601) x 100 cos2 (00( 00( 00()= 12 m

Dd( P4 1=(1,668 1,538) x 100 cos2 (00( 00( 00()= 13 m

Dd( P4 2=(1,442 1,332) x 100 cos2 (00( 00( 00()= 11 m

Dd( P4 3=(1,495 1,375) x 100 cos2 (00( 00( 00()= 12 m

4.2.12 Perhitungan Selisih Absis Patok Utama

Rumus:(x = D( . sin ( patok utama(y = D( . cos ( titik utama Ket :(x=Selisih absis

(y=Selisih ordinat

(=Azimut

D(=Jarak proyeksi

Absis (X)

(x P0

=30

sin 41 ( 14( 41( =19,778 m

(x P1

=60

sin 319( 18( 37( =-39,118 m

(x P2

=73

sin 319( 18( 37( = 64,759 m

(x P3

=56,8sin 205( 17( 39( =-24,269 m

(x P4

=27,1sin 308( 48( 45( =-21,116 m +

( (x = 0,0034 mOrdinat (Y)(y P0

=30

cos 41 ( 14( 41( =22,557 m

(y P1

=60

cos319( 18( 37( =45,495 m

(y P2

=73

cos 319( 18( 37( = -33,693 m

(y P3

=56,8cos 205( 17( 39( = -51,354 m

(y P4

=27,1cos 308( 48( 45( =16,986 m +

( (x =-0,009 m4.2.13 Perhitungan Selisih Absis Titik DetailRumus untuk Absis (X)

(xd = Dd( sin (

Ket :(xd=Absis detail

(yd=Ordinat detail

(=Azimut detail

Dd(=Jarak proyeksi detail

(xd P0 a=12sin 52( 22( 15(=9,504 m

(xd P0 b=13sin 90( 35( 15(=12,999 m

(xd P0 c=11sin 115( 19( 25(=9,943 m

(xd P0 1=10sin 180( 23( 25(=-0,068 m

(xd P0 2=12sin 277( 24( 25(=-11,900 m

(xd P0 3=11sin 334( 31( 35(=-4,731 m

(xd P1 a=10sin 348( 10( 41(=-2,049 m

(xd P1 b= 8sin 72( 26( 31(=7,627 m

(xd P1 c=17sin 172( 22( 31(=2,256 m

(xd P1 1=18sin 239( 57( 41(=-15,582 m

(xd P1 2=15sin 272( 10( 41(=-14,989 m

(xd P1 3=12sin 311( 20( 31(=-9,009 m

(xd P2 a=27sin 114( 46( 47(=24,514 m

(xd P2 b=14sin 136( 00( 07(=9,725 m

(xd P2 c= 9sin 142( 47( 57(=5,441 m

(xd P2 1=11sin 236( 21( 57(=-9,159 m

(xd P2 2= 9sin 272( 02( 57(=-8,994 m

(xd P2 3=14sin 90( 38( 17(=13,999 m

(xd P3 a=11sin 235( 22( 33(=-9,052 m

(xd P3 b=17sin 260( 34( 43(=-16,771 m

(xd P3 c=25sin 274( 58( 53(=-24,906 m

(xd P3 1=17sin 325( 58( 13 (=-9,514 m

(xd P3 2=19sin 109( 54( 03(=17.865 m

(xd P3 3=19sin 150( 16( 33(=9,421 m

(xd P4 a= 17sin 321( 23( 29(=-10,608 m

(xd P4 b= 7sin 341( 50( 19(=-2,182 m

(xd P4 c= 12sin 13( 22( 19(=2,775 m

(xd P4 1= 13sin 53( 05( 39(=10,395 m

(xd P4 2= 11sin 198( 08( 29(=-3,425 m

(xd P4 3= 12sin 265( 56( 39(=-11,970 m

Rumus untuk Ordinat (Y)

(yd = Dd( cos (Ket :yd=Ordinat detail

(=Azimut detail

Dd(=Jarak proyeksi detail

(yd P0 a=12cos 52( 22( 15(=7,327 m

(yd P0 b=13cos 90( 35( 15(=-0,133 m

(yd P0 c=11cos 115( 19( 25(=-4,705 m

(yd P0 1=10cos 180( 23( 25(=-10,000 m

(yd P0 2=12cos 277( 24( 25(=1,547 m

(yd P0 3=11cos 334( 31( 35(=9,931 m

(yd P1 a=10cos 348( 10( 41(=9,788 m

(yd P1 b= 8cos 72( 26( 31(=2,413 m

(yd P1 c=17cos172( 22( 31(=-16,850 m

(yd P1 1=18cos239( 57( 41(=-9,011 m

(yd P1 2=15cos272( 10( 41(=0,570 m

(yd P1 3=12cos311( 20( 31(=7,927 m

(yd P2 a=27cos114( 46( 47(=-11,317 m

(yd P2 b=14cos136( 00( 07(=-10,071 m

(yd P2 c= 9cos142( 47( 57(=-7,169 m

(yd P2 1=11cos236( 21( 57(=-6,093 m

(yd P2 2= 9cos 272( 02( 57(=0,322 m

(yd P2 3=14cos 90( 38( 17(=-0,156 m

(yd P3 a=11cos235( 22( 33(=-6,250 m

(yd P3 b=17cos260( 34( 43(=-2,783 m

(yd P3 c=25cos274( 58( 53(=2,171 m

(yd P3 1=17cos325( 58( 13 (=14,089 m

(yd P3 2=19cos109( 54( 03(=-6,467 m

(yd P3 3=19cos150( 16( 33(=-16,500 m

(yd P4 a= 17cos321( 23( 29(=13,284 m

(yd P4 b= 7cos341( 50( 19(=6,651 m

(yd P4 c= 12cos 13( 22( 19(=11,675 m

(yd P4 1= 13cos 53( 05( 39(=7,807 m

(yd P4 2= 11cos198( 08( 29(=-10,453 m

(yd P4 3= 12cos265( 56( 39(=0,849 m

4.2.14 Perhitungan Koreksi Absis Patok Utama

`Rumus untuk Absis (X)

Ket :K(x=Koreksi Absis

D(=Jarak proyeksi

(d(=Jumlah jarak proyeksi

((x=Jumlah absis

PO P1= 30

( 0,034 )= 0,004

246,9P1 P2= 60

(0,034)

= 0,008

246,9P2 P3= 73

(0,034 )= 0,010

246,9P3 P4= 56,8

(0,034 )= 0,008

300,8

P4 P0= 27,1

(0,034)

= 0,004 +

300,8

K(x= 0,034Rumus untuk Ordinat (Y)

Ket :K(y=Koreksi ordinat

D(=Jarak proyeksi

( D(=Jumlah jarak proyeksi

((y=Jumlah ordinat

PO P1= 30

( -0,009 )= -0,001

246,9P1 P2= 60

( -0,009 )= -0,002

246,9P2 P3= 73

( -0,009 )= -0,003

246,9P3 P4= 56,8

( -0,009 )= -0,002

246,9P4 P0= 27,1

( -0,009 )= -0,001 +

246,9

K(y= -0,0094.2.15 Perhitungan Titik Absis dan Ordinat Patok Utama

Rumus untuk Absis (X)

Xn = x yang diketahui + (x - K(xKet :Xn=Absis titik n

(x=Selisih absis

K(x=Koreksi absis

XP0 = 41 m

X P1 = 41+19,778((0,004)

=60,774 m

XP2= 60,774+-39,118((0,008)

=21,648 m

XP3= 21,648+ 64,759((0,010)

=86,397 m

XP4= 86,397+-24,269((0,008)

=62,120 m

XP0= 62,120+-21.116((0,004)

= 41 m

Rumus untuk Ordinat (Y) Yn = y yang diketahui + (y - K(yKet :Yn=Ordinat titik n

(y=Selisih ordinat

K(y=Koreksi ordinatYP0 =-41 m

Y P1 = -41+22,557((-0,001)

= - 18,442 m

YP2=-18,442+ 45,495((-0,002)

= 27,055 m

YP3= 27,055+ -33,693((-0,003)

= - 6,635 m

YP4= -6,635+ -51,354((-0,002)

=- 57,987 m

YP0= -57,987+ 16,986((-0,001)

= - 41m

4.2.16 Perhitungan Absis Titik Detail

Rumus untuk Absis (X)

Xdn = x yang diketahui + (x titik detailKet :Xdn=Absis titik detail x=Absis(x=Selisih absis

Xd P0 ( a=41+ 9,504=50,504 m

Xd P0 ( b=41+ 12,999=53,999 m

Xd P0 ( c=41+ 9,943=50,943 m

Xd P0 ( 1=41+ (-0,068)=40,932 m

Xd P0 ( 2=41+(-11,900)=21,100 m

Xd P0 ( 3=41+ (-4,731)=36,269 m

Xd P1 ( a=60,774+ (-2,049)=58,725 m

Xd P1 ( b=60,774+ 7,627=68,401 m

Xd P1 ( c=60,774+ 2,256=63,030 m

Xd P1 ( 1=60,774+(-15,582)=45,192 m

Xd P1 ( 2=60,774+(-14,989)=45,785 m

Xd P1 ( 3=60,774+ (-9,009)=51,765 m

Xd P2 ( a=21,648+ 24,514=46,162 m

Xd P2 ( b=21,648+ 9,725=31,373 m

Xd P2 ( c=21,648+ 5,441=27,089 m

Xd P2 ( 1=21,648+(-9,159)=12,489 m

Xd P2 ( 2=21,648+(-8,994)=12,654 m

Xd P2 ( 3=21,648+ 13,999=35,647 m

Xd P3 ( a=86,397+ (-9,052)=77,345 m

Xd P3 ( b=86,397+(-16,771)=69,626 m

Xd P3 ( c=86,397+(-24,906)=61,491 m

Xd P3 ( 1=86,397+ (-9,514)=76,883 m

Xd P3 ( 2=86,397+ 17,865=104 262 m

Xd P3 ( 3=86,397+ 9,421=95,818 m

Xd P4 ( a=52,120+(10,608)=41,512 m

Xd P4 ( b=52,120+(-2,182)=49,938 m

Xd P4 ( c=52,120+ 2,775=54,895 m

Xd P4 ( 1=52,120+ 10,395=62,515 m

Xd P4 ( 2=52,120+(-3,425)=48,695 m

Xd P4 ( 3=52,120+ (-11,970)=40,150 m

Rumus untuk Ordinat (Y)

Yd = y yang diketahui (y titik detailKet :Yd = Ordinat titik detail

y=Ordinat

(y=Selisih ordinat

Yd P0 ( a=-41+ 7,327=-33,673 m

Yd P0 ( b=-41+(-0,133)=-41,133 m

Yd P0 ( c=-41+(-4,705)=-45,705 m

Yd P0 ( 1=-41+(-10,000)=-51,000 m

Yd P0 ( 2=-41+ 1,547=-39,453 m

Yd P0 ( 3=-41+ 9,931=-31,069 m

Yd P1 ( a=-18,442+ 9,788=-8,654 m

Yd P1 ( b=-18,442+ 2,413=-16,029 m

Yd P1 ( c=-18,442+(-16,850)=-35,292 m

Yd P1 ( 1=-18,442+ (-9,011)=-27,453 m

Yd P1 ( 2=-18,442+ 0,570=-17,872 m

Yd P1 ( 3=-18,442+ 7,927=-10,515 m

Yd P2 ( a=27,055+(-11,317)=15,738 m

Yd P2 ( b=27,055+(-10,071)=16,984 m

Yd P2 ( c=27,055+ (-7,169)=19,886 m

Yd P2 ( 1=27,055+ (-6,093)=20,962 m

Yd P2 ( 2=27,055+ 0,322=27,377 m

Yd P2 ( 3=27,055+ (-0,156)=26,899 m

Yd P3 ( a=-6,635+ (-6,250)=-12,885m

Yd P3 ( b=-6,635+ (-2,783)=-9,418 m

Yd P3 ( c=-6,635+ 2,171=-4,464 m

Yd P3 ( 1=-6,635+ 14,089=7,454 m

Yd P3 ( 2=-6,635+ (-6,467)=-13,102 m

Yd P3 ( 3=-6,635+(-16,500)=-23,135 m

Yd P4 ( a=-57,987+ 13,284=-44,703 m

Yd P4 ( b=-57,987+ 6,651=-51,136 m

Yd P4 ( c=-57,987+ 11,675=-46,312 m

Yd P4 ( 1=-57,987+ 7,807=-50,180 m

Yd P4 ( 2=-57,987+(-10,453)=

-68,440 m

Yd P4 ( 3=-57,987+ 0,849=-57,138 m

4.2.17 Perhitungan Beda Tinggi Patok Utama

Rumus :

(H = D sin 2 (u + (T.P BTm)Ket :(H=Beda tinggi

D=Jarak Optis

(u=Sudut lereng titik utama

TP=Tinggi pesawat

BTm=Benang tengah muka

(H P0 = 30 sin 2 (00( 00( 00() + (1,375 ( 1,847)= -0,472m(H P1 = 60 sin 2 (00( 00( 00() + (1,399 ( 1,010)= 0,389m

(H P2 = 73 sin 2 (00( 00( 00() + (1,423 ( 1,635)= -0,212m(H P3 = 56,8 sin 2 (00( 00( 20() + (1,295 ( 0,944)= 0,351m(H P4 = 27,1 sin 2 (00( 00( 00() +(1,430 ( 1,479)= -0,049m +

((H= 0,007 m4.2.18 Perhitungan Beda Tinggi Patok Utama (Hdet) Rumus:

1

1

H P0 - a = 12 sin 2 (000 00' 00") + (1,375 1,544) = -0,169 m 2

1

H P0 - b = 13 sin 2 (000 00' 00") + (1,375 1,546) = -0,171 m 2

1

H P0 - c = 11 sin 2 (000 00' 00") + (1,375 1,499) = -0,124 m 2

1

H P0 - 1 = 10 sin 2 (000 00' 00") + (1,375 1,314) = 0,061 m 2

1

H P0 - 2 = 12 sin 2 (000 00' 00") + (1,375 1,452) = -0,077 m 2

1

H P0 - 3 = 11 sin 2 (000 00' 00") + (1,375 1,486) = -0,111 m 2

1

H P1 - a = 10 sin 2 (000 00' 00") + (1,399 - 1,050) = 0,349 m 2

1

H P1 - b = 8 sin 2 (000 00' 00") + (1,399 1,155) = 0,244 m 2

1

H P1 - c = 17 sin 2 (000 00' 00") + (1,399 1,325) = 0,074 m 2

1

H P1 - 1 = 18 sin 2 (000 00' 00") + (1,399 1,240) = 0,159 m 2

1

H P1 - 2 = 15 sin 2 (000 00' 00") + (1,399 1,490) = -0,091 m 2

1

H P - 3 = 12 Sin 2 (000 00' 00") + (1,399 0,065) = 1,334 m 2

1

H P2 - a = 27 sin 2 (000 00' 00") + (1,423 - 1,109) = 0,314 m 2

1 H P2 - b = 14 sin 2 (000 00' 00") + (1,423 1,191) = 0,232 m 2

1

H P2 - c = 9 sin 2 (000 00' 00") + (1,423 1,309) = 0,114 m 2

1

H P2 - 1 = 11 sin 2 (000 00' 00") + (1,423 1,238) = 0,185 m 2

1

H P2 - 2 = 9 sin 2 (000 00' 00") + (1,423 1,369) = 0,054 m 2

1

H P2 - 3 = 14 Sin 2 (000 00' 00") + (1,423 0,684) = 0,739 m 2

1

H P3 - a = 11 sin 2 (000 00' 00") + (1,295 1,349) = -0,054 m 2

1

H P3 - b = 17 sin 2 (000 00' 00") + (1,295 - 1,274) = 0,021 m 2

1

H P3 - c = 25 sin 2 (000 00' 00") + (1,295 1,183) = 0,112 m 2

1

H P3 - 1 = 17 sin 2 (000 00' 00") + (1,295 1,065) = 0,230 m 2

1

H P3 - 2 = 19 sin 2 (000 00' 00") + (1,295 1,270) = 0,025 m 2

1

H P3 - 3 = 19 sin 2 (000 00' 00") + (1,295 1,024) = 0,271 m 2

1

H P4 - a = 17 sin 2 (000 00' 00") + (1,430 1,540) = -0,110 m 2

1

H P4 - b = 7 sin 2 (000 00' 00") + (1,430- 1,471) = -0,041 m 2

1

H P4 - c = 12 sin 2 (000 00' 00") + (1,430- 1,161 ) = 0,269 m 2

1

H P4 - 1 = 13 sin 2 (000 00' 00") + (1,430- 1,603) = -0,173 m 2

1

H P4 - 2 = 11 sin 2 (000 00' 00") + (1,430- 1,387) = 0,043 m 2 1

H P4 - 3 = 12 sin 2 (000 00' 00") + (1,430- 1,435) = -0,005 m 2

4.2.19 Perhitungan Koreksi Beda Tinggi

Rumus :

Ket :K(H=Koreksi beda tinggi

((H=Jumlah beda tinggi

n=Jumlah patok

=-0,0014 m4.2.20 Perhitungan beda tinggi titik utama setelah koreksi

Rumus :

(H( = (H + K(HKet:

(H(=Beda tinggi utama setelah koreksi

(H=Beda tinggi titik utama

K(H=Koreksi beda tinggi titik utama(H(P0=-0,472+0,0014

=-0,4734 m

(H(P1= 0,389+0,0014= 0,3876 m(H(P2=-0,212+0,0014=-0,2134 m(H(P3= 0,351+0,0014= 0,3496 m(H(P4=-0,049+0,0014= -0,0504 m +

((H( = -0,0000 m4.2.21 Perhitungan Tinggi Titik Patok UtamaRumus :H = T . t dik + (H - K(HKet :H=Tinggi titik patok utama

T . t . dik=Tinggi titik diketahui

(H=Beda tinggi

K(H=Koreksi beda tinggi

H P0=41m

H P1=41+(-0,4734) = 40,5266 m

H P2=40,5266 + 0,3876 = 40,9142 m

H P3=40,9142+(-0,2134)

= 40,7008 m

H P4=40,7008 + 0,3496

= 41,0504 m

H P0=41,0504 +

(-0,0504) = 41 m

4.2.22 Perhitungan Tinggi Titik Detail Rumus :Hd = T . T . P + (Hd

Ket :Hd=Tinggi titik patok detail

T . T . P=Tinggi titik patok utama

(Hd=Beda tinggi detail

Hd P0a=41+(-0,169)=40,831 m

Hd P0b=41+(-0,171)=40,829 m

Hd P0c=41+(-0,124)=40,876 m

Hd P01=41+ 0,061=41,061 m

Hd P02=41+(-0,077)=40,923 m

Hd P03=41+(-0,111)=40,889 m

Hd P1a=40,5266+0,349=40,876 m

Hd P1b=40,5266+0,244=40,771 m

Hd P1c=40,5266+0,074=40,601 m

Hd P11=40,5266+0,159=40,686 m

Hd P12=40,5266+(-0,091)=40,346 m

Hd P13=40,5266+1,334=41,861 m

Hd P2a=40,9142+0,314=41,228 m

Hd P2b=40,9142+0,232=41,146 m

Hd P2c=40,9142+0,114=41,028 m

Hd P21=40,9142+0,185=41,099 m

Hd P22=40,9142+0,054= 40,968 m

Hd P23=40,9142+0,739=41,653 m

Hd P3a=40,7008+(-0,054)=

40,647 m

Hd P3b=40,7008+0,021=

40,722 m

Hd P3c=40,7008+0,112=

40,813 m

Hd P31=40,7008+0,230= 40,931 m

Hd P32=40,7008+0,025= 40,726 m

Hd P33=40,7008+0,271= 40,972 m

Hd P4a=41,0504+(-0,110)= 40,940 m

Hd P4b=41,0504+(-0,041)= 41,009 m

Hd P4c=41,0504+ 0,269= 41,319 m

Hd P41=41,0504+(-0,173)= 40,877 m

Hd P42=41,0504+0,043= 41,093 m

Hd P43=41,0504+(-0,005)= 41,045 m

4.2.23 Perhitungan Luas PoligonRumus :Ket : L=Luas Poligon

Xn=Absis Titik n

Yn=Ordinat Titik nNo. PatokKoordinatXn.YnYn.Xn

X(m)Y(m)

P0

P1

P2

P3

P4

4160,77421,64886,39762,120

-10

-18,44227,055-6,635-57,987

-756,122-1644,241-143,634-5009,903-2546,920

-2491,734-349,2322337,471-412,166-2377,467

JUMLAH ( =-6812,338-3343,128

=1734,605 m2Jadi, luas poligon= 1734,605 m2

10.000

= 0,173 ha EMBED Equation.3

EMBED Equation.3

b

EMBED Equation.3

K

H

EMBED CorelDRAW.Graphic.12

a

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

0

,

EMBED Equation.3

007

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

Hr

Hr

pergi

Hr

pulang

2

EMBED Equation.3

EMBED Equation.3




























5

EMBED Equation.3

1

QUOTE Hdet = x D'd sin2 QUOTE d + (BA - BT)

2

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

x c

2

EMBED Equation.3

Dr

x

gm

L

gb

L

2

PAGE

79

_1137021477.unknown

_1369332679.unknown

_1493404519.unknown

_1493443635.unknown

_1369335351.unknown

_1492422405.unknown

_1369327356.unknown

_1369327455.unknown

_1369294086.unknown

_1369325925.unknown

_1140351514.unknown

_1136955345.unknown

_1137012904.unknown

_1136056009.unknown

_1136955321.unknown

_1135961375.unknown

waterpass dan theodolit

Documents