Monday, February 20, 2012

CONTOH PERHITUNGAN DATA DALAM ILMU UKUR TANAH


v RUMUS-RUMUS YANG DIGUNAKAN
  1. Perhitungan jarak optis pada profil memanjang

( D = BA – BB ) x 100

dimana : D = Jarak Optis

BA = Benang Atas

BB = Benang Bawah

  1. Perhitungan Jarak Optis Pada Profil Melintang

( D = BA – BT ) x 100

dimana : BT = Benang Tengah

  1. Perhitungan Beda Tinggi Pergi dan Pulang

( AH = BT belakang – BT muka )

  1. Perhitungan Beda Tinggi Rata-Rata

AH Rata-rata = ( AH pergi + AH pulang ) / 2

  1. Perhitungan Beda Tinggi Untuk Profil Melintang (Detail)

AH = BT belakang – BT detail

  1. Perhitungan Tinggi patok Utama

TPU = Tinggi titik + AH rata-rata

  1. Perhitungan Kemiringan Detail = AH detail x 100 % / Jarak ukur detail
  2. Perhitungan Tinggi Titik Detail

TTD = TPU + AH detail

  1. Perhitungan Kemiringan Patok Utama

AH rata-rata x 100 % / Jarak ukur detail

  1. Perhitungan Volume Timbunan

D = ( BA – BB ) x 100

ü Persegi panjang = Panjang x Lebar

ü Segitiga = ½ Alas x Tinggi

ü Volume Perhitungan timbunan dan galian = ½ x Jarak muka + ½ x Jarak belakang

ü Trapezium = Jumlah dua sisi berhadapan x Tinggi

2

Perhitungan Koreksi Benang Tengah
  1. Patok Utama Pergi

Po Belakang : 0.966 + 0.744 / 2 = 0.855 m

P1 Muka : 1.094 + 0.805 /2 = 0.949 m

Belakang : 1.056 + 0.740 /2 = 0.898 m

P2 Muka : 1.001 + 0.895 / 2 = 0.918 m

Belakang : 0.995 + 0.715 / 2 = 0.855 m

P3 Muka : 1.511 + 1.291 / 2 = 1.401 m

Belakang : 1.080 + 0.812 / 2 = 0.946 m

P4 Muka : 1.079 + 0.828 / 2 = 0.954 m

Belakang : 1.013 + 0.789 / 2 = 1.901 m

P5 Muka : 0.921 + 0.641 / 2 = 0.781 m

Belakang : 1.043 + 0.903 / 2 = 0.973 m

P6 Muka : 1.094 + 0.952 / 2 = 1.023 m

Belakang : 1.084 + 0.906 / 2 = 0.995 m

P7 Muka : 1.026 + 0.764 / 2 = 0.895 m

Belakang : 1.046 + 0.860 /2 = 0.953 m

P8 Muka : 0.810 + 0.400 / 2 = 0.605 m

Belakang : 1.195 + 0.980 /2 = 1.087 m

P9 Muka : 1.258 + 0.972 /2 = 1.115 m

Belakang : 1.386 + 1.123 / 2 = 1.254 m

P10 Muka : 1.459 + 1.189 / 2 = 1.324 m

Belakang : 1.495 + 1.187 / 2 = 1.341 m

P11 Muka : 1.187 + 0.985 / 2 = 1.086 m

  1. Patok Utama Pulang

P11 Belakang : 1.206 + 0.930 / 2 = 1.068 m

P10 Muka : 1.474 + 1.236 / 2 = 1.355 m

Belakang : 1.352 + 1.179 / 2 = 1.265 m

P9 Muka : 1.365 + 1.023 / 2 = 1.194 m

Belakang : 1.444 + 1.233 /2 = 1.339 m

P8 Muka : 1.455 + 1.155 / 2 = 1.305 m

Belakang : 1.227 + 0.999 / 2 = 1.113 m

P7 Muka : 1.640 +1.278 / 2 = 1.459 m

Belakang : 1.095 + 0.858 / 2 = 0.976 m

P6 Muka : 1.190 + 0.962 / 2 = 1.076 m

Belakang : 1.323 + 1.185 / 2 = 1.254 m

P5 Muka : 1.282 + 1.125 / 2 = 1.204 m

Belakang : 1.099 + 0.868 / 2 = 0.984 m

P4 Muka : 1.240 + 0.965 / 2 = 1.102 m

Belakang : 1.169 + 0.930 / 2 = 1.050 m

P3 Muka : 1.182 + 0.900 / 2 = 1.041 m

Belakang : 1.375 + 1.145 / 2 = 1.260 m

P2 Muka : 0.850 + 0.574 / 2 = 0.712 m

Belakang : 0.830 + 0.598 / 2 = 0.714 m

P1 Muka : 0.811 + 0.577 / 2 = 0.694 m

Belakang : 1.009 + 0.788 / 2 = 0.894 m

P0 Muka : 0.935 + 0.664 / 2 = 0.799 m

  1. Patok Utama Pergi

Rumus : ( BA + BB ) / 2

Po ---- a : 1.298 + 1.058 / 2 = 1.178 m

a ---- b : 1.298 + 1.058 / 2 = 1.178 m

b ---- c : 1.281 + 0.997 / 2 = 1.139 m

c ---- d : 1.116 + 0.832 / 2 = 0.974 m

e ---- f : 1.306 + 1.134 / 2 = 1.220 m

f ---- g : 1.146 + 0.920 / 2 = 1.033 m

g ---- h : 1.324 + 1.118 / 2 = 1.254 m

h ---- j : 1.119 + 0.979 / 2 = 1.049 m

P1 ---- a : 1.129 + 0.819 / 2 = 0.974 m

a ---- b : 1.337 + 1.027 / 2 = 1.182 m

b ---- c : 1.131 + 0.887 / 2 = 1.109 m

c ---- d : 1.086 + 0.636 / 2 = 0.861 m

e ---- f : 1.109 + 0.819 / 2 = 0.964 m

f ---- g : 1.286 + 0.996 / 2 = 1.141 m

g ---- h : 1.264 + 0.976 / 2 = 1.120 m

h ---- j : 1.247 + 0.959 / 2 = 1.103 m

P2 ---- a : 1.187 + 1.003 / 2 = 1.095 m

a ---- b : 1.424 + 1.244 / 2 = 1.334 m

b ---- c : 1.325 + 1.081 / 2 = 1.203 m

c ---- d : 1.115 + 0.865 / 2 = 0.990 m

e ---- f : 1.192 + 1.002 / 2 = 1.097 m

f ---- g : 1.390 + 1.196 / 2 = 1.293 m

g ---- h : 1.437 + 1.151 / 2 = 1.294 m

h ---- j : 1.166 + 0.874 / 2 = 1.020 m

P3 ---- a : 1.097 + 0.847 / 2 = 0.972 m

a ---- b : 0.877 + 0.629 / 2 = 0.753 m

b ---- c : 0.883 + 0.637 / 2 = 0.760 m

c ---- d : 0.881 + 0.641 / 2 = 0.761 m

e ---- f : 1.174 + 0.884 / 2 = 1.029 m

f ---- g : 0.901 + 0.609 / 2 = 0.755 m

P4 ---- a : 1.244 + 0.982 / 2 = 1.113 m

P4 ---- b : 1.135 + 0.913 / 2 = 1.024 m

b ---- c : 1.253 + 1.007 / 2 = 1.130 m

c ---- d : 1.016 + 0.768 / 2 = 0.892 m

P5 ---- a : 1.139 + 0.959 / 2 = 1.049 m

a ---- b : 1.326 + 1.146 / 2 = 1.236 m

b ---- c : 1.328 + 1.176 / 2 = 1.252 m

a ---- e : 0.891 + 0.739 / 2 = 0.815 m

P6 ---- a : 1.139 + 0.959 / 2 = 1.049 m

a ---- b : 1.326 + 1.146 / 2 = 1.236 m

b ---- c : 1.328 + 1.176 / 2 = 1.252 m

c ---- d : 0.891 + 0.739 / 2 = 0.815 m

e ---- f : 1.091 + 0.909 / 2 = 1.000 m

f ---- g : 0.466 + 0.282 / 2 = 0.374 m

P7 ---- a : 1.226 + 1.040 / 2 = 1.133 m

a ---- b : 1.513 + 1.327 / 2 = 1.420 m

b ---- c : 1.344 + 1.168 / 2 = 1.256 m

c ---- d : 1.101 + 0.855 / 2 = 0.978 m

e ---- f : 1.019 + 0.711 / 2 = 0.865 m

P8 ---- a : 1.465 + 1.235 / 2 = 1.350 m

a ---- b : 1.495 + 1.265 / 2 = 1.380 m

c ---- d : 1.380 + 1.160 / 2 = 1.270 m

d ---- e : 1.530 + 1.310 / 2 = 1.420 m

e ---- f : 1.375 + 1.155 / 2 = 1.265 m

f ---- g : 1.337 + 1.117 / 2 = 1.227 m

g ---- h : 1.110 + 0.890 / 2 = 1.000 m

P9 ---- a : 1.464 + 1.242 / 2 = 1.353 m

a ---- b : 1.599 + 1.377 / 2 = 1.488 m

b ---- c : 1.470 + 1.248 / 2 = 1.359 m

c ---- d : 1.018 + 0.796 / 2 = 0.907 m

e ---- f : 1.410 + 1.266 / 2 = 1.388 m

f ---- g : 1.658 + 1.414 / 2 = 1.536 m

g ---- h : 1.318 + 1.074 / 2 = 1.196 m

P10 ---- a : 1.461 + 1.351 / 2 = 1.406 m

a ---- b : 1.577 + 1.467 / 2 = 1.522 m

b ---- c : 1.432 + 1.322 / 2 = 1.377 m

c ---- d : 0.949 + 0.839 / 2 = 0.894 m

e ---- f : 1.502 + 1.358 / 2 = 1.430 m

f ---- g : 1.607 + 1.463 / 2 = 1.535 m

g ---- h : 1.469 + 1.325 / 2 = 1.397 m

h ---- i : 1.277 + 1.133 / 2 = 1.205 m

P11 ---- a : 1.395 + 1.171 / 2 = 1.283 m

b ---- c : 1.230 + 1.016 / 2 = 1.123 m

PERHITUNGAN JARAK OPTIS

Rumus : D = ( BA – BB ) X 100

  1. Untuk Patok Utama Pergi

Po ---- P1 : Belakang : ( 0.966 – 0.744 ) x 100 = 22.20

Muka : ( 1.094 – 0.805 ) x 100 = 28.90

Jumlah = 51.10

P1 ---- P2 : Belakang : ( 1.056 – 0.740 ) x 100 = 31.60

Muka : ( 1.001 – 0.835 ) x 100 = 16.60

Jumlah = 48.20

P2 ---- P3 : Belakang : ( 0.995 – 0.715 ) x 100 = 28.00

Muka : ( 1.511 – 1.291 ) x 100 = 22.00

Jumlah = 50.00

P3 ---- P4 : Belakang : ( 1.080 – 0.812 ) x 100 = 26.80

Muka : ( 1.079 – 0.828 ) x 100 = 25.10

Jumlah = 51.90

P4 ---- P5 : Belakang : ( 1.013 – 0.789 ) x 100 = 22.40

Muka : ( 0.921 – 0.641 ) x 100 = 28.00

Jumlah = 58.40

P5 ---- P6 : Belakang : ( 1.043 – 0.903 ) x 100 = 14.00

Muka : ( 1.094 – 0.952 ) x 100 = 14.20

Jumlah = 28.20

P6 ---- P7 : Belakang : ( 1.084 – 0.906 ) x 100 = 17.80

Muka : ( 1.026 – 0.764 ) x 100 = 26.20

Jumlah = 44.00

P7 ---- P8 : Belakang : ( 1.046 – 0.860 ) x 100 = 18.60

Muka : ( 0.810 – 0.400 ) x 100 = 41.00

Jumlah = 59.60

P8 ---- P9 : Belakang : ( 1.195 – 0.980 ) x 100 = 21.50

Muka : ( 1.258 – 0.972 ) x 100 = 28.60

Jumlah = 50.10

P9 ---- P10 : Belakang : ( 1.386 – 1.123 ) x 100 = 26.30

Muka : ( 1.459 – 1.189 ) x 100 = 27.00

Jumlah = 53.30

P10 ---- P11 : Belakang : ( 1.495 – 1.187 ) x 100 = 30.80

Muka : ( 1.187 – 0.985 ) x 100 = 20.20

Jumlah = 51.00

  1. Untuk Patok Utama Pulang

P11 ---- P10 : Belakang : ( 1.206 – 0.930 ) x 100 = 27.60

Muka : ( 1.474 – 1.236 ) x 100 = 23.80

Jumlah = 51.40

P10 ---- P9 : Belakang : ( 1.352 – 1.179 ) x 100 = 17.30

Muka : ( 1.365 – 1.023 ) x 100 = 34.20

Jumlah = 51.50

P9 ---- P8 : Belakang : ( 1.444 – 1.233 ) x 100 = 21.10

Muka : ( 1.455 – 1.155 ) x 100 = 30.00

Jumlah = 51.10

P8 ---- P7 : Belakang : ( 1.227 – 0.999 ) x 100 = 22.80

Muka : ( 1.640 – 1.278 ) x 100 = 36.20

Jumlah = 59.00

P7 ---- P6 : Belakang : ( 1.095 – 0.858 ) x 100 = 23.70

Muka : ( 1.190 – 0.962 ) x 100 = 22.80

Jumlah = 46.50

P6 ---- P5 : Belakang : ( 1.323 – 1.185 ) x 100 = 13.80

Muka : ( 1.282 – 1.125 ) x 100 = 115.70

Jumlah = 29.50

P5 ---- P4 : Belakang : ( 1.099 – 0.868 ) x 100 = 23.10

Muka : ( 1.240 – 0.965 ) x 100 = 27.50

Jumlah = 50.60

P4 ---- P3 : Belakang : ( 1.169 – 0.930 ) x 100 = 23.90

Muka : ( 1.182 – 0.900 ) x 100 = 28.20

Jumlah = 52.10

P3 ---- P2 : Belakang : ( 1.375 – 1.145 ) x 100 = 23.00

Muka : ( 0.850 – 0.574 ) x 100 = 27.60

Jumlah = 50.60

P2 ---- P1 : Belakang : ( 0.830 – 0.598 ) x 100 = 23.20

Muka : ( 0.811 – 0.577 ) x 100 = 23.40

Jumlah = 46.60

P1 ---- Po : Belakang : ( 1.009 – 0.778 ) x 100 = 23.10

Muka : ( 0.935 – 0.664 ) x 100 = 27.10

Jumlah = 50.20

  1. Untuk Patok Rata-rata

D. Rata-rata = ( D. Pergi + D. Pulang ) / 2

Po ---- P1 Rata-rata : ( 51.10 + 50.20 ) / 2 = 50.65 m

P1 ---- P2 Rata-rata : ( 48.20 + 46.60 ) / 2 = 47.40 m

P2 ---- P3 Rata-rata : ( 50.00 + 50.60 ) / 2 = 50.30 m

P3 ---- P4 Rata-rata : ( 51.90 + 52.10 ) / 2 = 52.00 m

P4 ---- P5 Rata-rata : ( 58.40 + 50.60 ) / 2 = 54.50 m

P5 ---- P6 Rata-rata : ( 28.20 + 29.50 ) / 2 = 28.85 m

P6 ---- P7 Rata-rata : ( 44.00 + 46.50 ) / 2 = 45.25 m

P7 ---- P8 Rata-rata : ( 59.60 + 59.00 ) / 2 = 59.30 m

P8 ---- P9 Rata-rata : ( 50.10 + 51.10 ) / 2 = 50.60 m

P9 ---- P10 Rata-rata : ( 53.30 + 51.50 ) / 2 = 52.40 m

P10 --- P11 Rata-rata : ( 51.00 + 51.40 ) / 2 = 51.20 m

PERHITUNGAN BEDA TINGGI

Rumus AH = BT. Belakang – BT. Muka

1. Perhitungan Beda Tinggi Pergi

Po ---- P1 AH : 0.855 – 0.949 = - 0.094 m

P1 ---- P2 AH : 0.898 – 0.918 = - 0.020 m

P2 ---- P3 AH : 0.855 – 1.401 = - 0.546 m

P3 ---- P4 AH : 0.946 – 0.954 = - 0.008 m

P4 ---- P5 AH : 1.901 – 0.781 = 1.120 m

P5 ---- P6 AH : 0.973 – 1.023 = - 0.050 m

P6 ---- P7 AH : 0.995 – 0.985 = 0.100 m

P7 ---- P8 AH : 0.953 – 0.605 = 0.384 m

P8 ---- P9 AH : 1.085 – 1.115 = - 0.030 m

P9 ---- P10 AH : 1.254 – 1.324 = - 0.070 m

P10 --- P11 AH : 1.341 – 1.086 = 0.255 m

2. Perhitungan Beda Tinggi Pulang

P11 --- P10 AH : 1.100 – 1.355 = - 0.255 m

P10 --- P9 AH : 1.265 – 1.194 = 0.071 m

P9 ---- P8 AH : 1.339 – 1.395 = 0.034 m

P8 ---- P7 AH : 1.113 – 1.459 = - 0.346 m

P7 ---- P6 AH : 0.976 – 1.076 = - 0.100 m

P6 ---- P5 AH : 1.254 – 1.204 = 0.050 m

P5 ---- P4 AH : 0.984 – 1.102 = - 0.118 m

P4 ---- P3 AH : 1.050 – 1.041 = 0.009 m

P3 ---- P2 AH : 1.260 – 0.712 = 0.548 m

P2 ---- P1 AH : 0.714 – 0.694 = 0.020 m

P1 ---- Po AH : 0.894 – 0.800 = 0.094 m

3. Perhitungan Beda Tinggi Rata-rata

AH Rata-rata = ( AH. Pergi + AH. Pulang ) / 2

Po ---- P1 Rata-rata : ( - 0.094 + 0.094 ) / 2 = - 0.094 m

P1 ---- P2 Rata-rata : ( - 0.020 + 0.020 ) / 2 = - 0.020 m

P2 ---- P3 Rata-rata : ( - 0.546 + 0.548 ) / 2 = - 0.547 m

P3 ---- P4 Rata-rata : ( - 0.008 + 0.009 ) / 2 = - 0.0085 m

P4 ---- P5 Rata-rata : ( 0.120 + (-0.118 ) / 2 = 0.119 m

P5 ---- P6 Rata-rata : ( - 0.050 + 0.050 ) / 2 = - 0.050 m

P6 ---- P7 Rata-rata : ( 0.100 + (-0.100 ) / 2 = 0.100 m

P7 ---- P8 Rata-rata : ( 0.348+ (-0.346 ) / 2 = 0.347 m

P8 ---- P9 Rata-rata : ( - 0.030 + 0.034 ) / 2 = - 0.032 m

P9 ---- P10 Rata-rata : ( - 0.070 + 0.071 ) / 2 = - 0.0705 m

P10 --- P11 Rata-rata : ( 0.255 + (- 0.255 ) / 2 = 0.255 m

  1. Perhitungan Beda Tinggi Detail

Patok Detail Rata-rata = ( BT. Patok Utama – BT. Patok Detail )

Po ---- a : 0.855 – 1.109 = - 0.254 m

a ---- b : 1.109 – 1.178 = - 0.069 m

b ---- c : 1.178 – 1.139 = 0.039 m

c ---- d : 1.139 – 0.974 = 0.165 m

Po ---- e : 0.855 – 1.247 = - 0.392 m

e ---- f : 1.247 – 1.033 = 0.214 m

f ---- g : 1.033 – 1.254 = - 0.221 m

g ---- h : 1.254 – 1.094 = 0.205 m

P1 ---- a : 0.898 – 0.974 = - 0.076 m

a ---- b : 1.974 – 1.182 = - 0.208 m

b ---- c : 1.182 – 1.112 = 0.070 m

c ---- d : 1.112 – 0.861 = 0.251 m

P1 ---- e : 0.898 – 0.964 = - 0.066 m

e ---- f : 0.964 – 1.1141 = - 0.177 m

f ---- g : 1.141 – 1.120 = - 0.021 m

g ---- h : 1.120 – 1.103 = 0.017 m

P2 ---- a : 0.855 – 1.095 = - 0.240 m

a ---- b : 1.095 – 1.334 = - 0.239 m

b ---- c : 1.334 – 1.205 = 0.129 m

c ---- d : 1.205 – 0.990 = 0.215 m

P2 ---- e : 0.855 – 1.097 = - 0.242 m

e ---- f : 1.097 – 1.293 = - 0.196 m

f ---- g : 1.293 – 1.294 = - 0.001 m

g ---- h : 1.294 – 1.020 = 0.274 m

P3 ---- a : 0.946 – 0.972 = - 0.026 m

a ---- b : 0.972 – 0.753 = 0.219 m

b ---- c : 0.753 – 0.760 = - 0.007 m

c ---- d : 0.760 – 0.761 = - 0.001 m

P3 ---- e : 0.946 – 1.029 = - 0.083 m

e ---- f : 1.029 – 0.755 = 0.274 m

P4 ---- a : 1.901 – 1.113 = 0.788 m

P4 ---- b : 1.901 – 1.024 = 0.877 m

b ---- c : 1.024 – 1.130 = - 0.106 m

c ---- d : 1.130 – 0.892 = 0.238 m

P5 ---- a : 0.973 – 1.139 = - 0.166 m

a ---- b : 1.139 – 1.236 = - 0.097 m

b ---- c : 1.236 – 1.252 = - 0.016 m

P5 ---- d : 0.973 – 0.815 = 0.158 m

P6 ---- a : 0.995 – 1.049 = - 0.054 m

a ---- b : 1.049 – 1.236 = - 0.187 m

b ---- c : 1.236 – 1.252 = - 0.106 m

c ---- d : 1.252 – 0.815 = 0.437 m

P6 ---- e : 0.995 – 1.000 = - 0.005 m

e ---- f : 1.000 – 0.374 = 0.626 m

P7 ---- a : 0.953 – 1.133 = - 0.180 m

a ---- b : 1.133 – 1.420 = - 0.287 m

b ---- c : 1.420 – 1.256 = 0.164 m

c ---- d : 1.256 – 0.978 = 0.278 m

P7 ---- e : 0.953 – 0.895 = 0.058 m

P8 ---- a : 1.087 – 1.350 = - 0.263 m

a ---- b : 1.350 – 1.380 = - 0.030 m

P8 ---- c : 1.087 – 1.270 = - 0.183 m

c ---- d : 1.270 – 0.420 = - 0.150 m

d ---- e : 1.420 – 1.265 = 0.155 m

e ---- f : 1.265 – 1.227 = 0.038 m

f ---- g : 1.227 – 1.000 = 0.227 m

P9 ---- a : 1.254 – 1.353 = - 0.099 m

a ---- b : 1.353 – 1.488 = - 0.135 m

b ---- c : 1.488 – 1.359 = 0.129 m

c ---- d : 1.359 – 0.907 = 0.452 m

P9 ---- e : 1.254 – 1.388 = - 0.134 m

e ---- f : 1.388 – 1.536 = - 0.148 m

f ---- g : 1.536 – 1.196 = 0.340 m

P10 ---- a : 1.341 – 1.406 = - 0.065 m

a ---- b : 1.406 – 1.522 = - 0.116 m

b ---- c : 1.522 – 1.377 = 0.145 m

c ---- d : 1.377 – 0.894 = 0.483 m

P10 ---- e : 1.341 – 1.430 = - 0.089 m

e ---- f : 1.430 – 1.535 = - 0.105 m

f ---- g : 1.535 – 1.397 = 0.138 m

g ---- h : 1.397 – 1.205 = 0.192 m

P11 ---- a : 1.086 – 1.283 = - 0.197 m

P11 ---- b : 1.086 – 1.123 = - 0.037 m

PERHITUNGAN ELEVASI AWAL DAN ∆H RATA-RATA

P8 = 71,053 m2

P9 = 71,053– 0.032 = 71,021 m2

P10 = 71,021 – 0.070 = 70,951 m2

P11 = 70,951 – 0.255 = 71,206 m2

P7 = 71,053 – 0,347 = 70,706 m2

P6 = 70,706 – 0.100 = 70,606 m2

P5 = 70,606 + 0.050 = 70,656 m2

P4 = 70,656 - 0.119 = 70,537 m2

P3 = 70,537 – 0.008 = 70,545 m2

P2 = 70,545 – 0.547 = 71,092 m2

P1 = 71,092 + 0.020 = 71,112 m2

Po = 71,112 + 0.094 = 71,206 m2

1. PERHITUNGAN DETAIL

Po = 71,206 m2

Po ---- a : 71,206 – 0.254 = 70,952 m2

a ---- b : 70,952 – 0.069 = 70,883 m2

b ---- c : 70,883 + 0.039 = 70,992 m2

c ---- d : 70,992 + 0.165 = 71,087 m2

Po ---- e : 71,206 – 0.392 = 70,814 m2

e ---- f : 70,814 + 0.214 = 71,028 m2

f ---- g : 71,028 – 0.221 = 70,807 m2

g ---- h : 70,807 + 0.205 = 71,012 m2

P1 = 71,112 m2

P1 ---- a : 71,112 – 0.076 = 71,036 m2

a ---- b : 71,036 – 0.208 = 70,828 m2

b ---- c : 70,828 + 0.070 = 70,898 m2

c ---- d : 70,898 + 0.251 = 71,149 m2

P1 ---- e : 71,112 – 0.066 = 71,046 m2

e ---- f : 71,046 – 0.177 = 70,869 m2

f ---- g : 70,869 + 0.021 = 70,890 m2

g ---- h : 70,890 + 0.017 = 70,907 m2

P2 = 71,092 m2

P2 ---- a : 71,092 – 0.240 = 70,852 m2

a ---- b : 70,852 – 0.239 = 70,613 m2

b ---- c : 70,613 + 0.129 = 70,742 m2

c ---- d : 70,742 + 0.215 = 70,557 m2

P2 ---- e : 71,092 – 0.242 = 70,850 m2

e ---- f : 70,850 – 0.196 = 70,654 m2

f ---- g : 70,654 – 0.001 = 70,653 m2

g ---- h : 70,653 + 0.274 = 70,927 m2

P3 = 70,545 m2

P3 ---- a : 70,545 – 0.026 = 70,519 m

a ---- b : 70,519 + 0.219 = 70,738 m

b ---- c : 70,738 – 0.007 = 70,731 m

c ---- d : 70,731 – 0.001 = 70,730 m

P3 ---- e : 70,545 – 0.083 = 70,462 m

e ---- f : 70,462 + 0.274 = 70,736 m

P4 = 70,537 m

P4 ---- a : 70,537 – 0.212 = 70,749 m

P4 ---- b : 70,749 – 0.123 = 70,660 m

b ---- c : 70,660 – 0.106 = 70,554 m

c ---- d : 70,554 – 0.238 = 70,792 m

P5 = 70,656 m

P5 ---- a : 70,656 – 0.076 = 70,580 m

a ---- b : 70,580 – 0.187 = 70,393 m

b ---- c : 70,393 – 0.016 = 70,377 m

P5 ---- d : 70,656 – 0.158 = 70,814 m

P6 = 70,606 m

P6 ---- a : 70,606 – 0.054 = 70,552 m

a ---- b : 70,552 – 0.187 = 70,365 m

b ---- c : 70,365 – 0.016 = 70,349 m

c ---- d : 70,349 + 0.437 = 70,786 m

P6 ---- e : 70,606 – 0.005 = 70,601 m

e ---- f : 70,601 + 0.626 = 71,227 m

P7 = 70,706 m

P7 ---- a : 70,706 – 0.180 = 70,526 m

a ---- b : 70,526 – 0.287 = 70,239 m

b ---- c : 70,239 + 0.164 = 70,403 m

c ---- d : 70,403 + 0.278 = 70,681 m

P7 ---- e : 70,706 + 0.058 = 70,764 m

P8 = 71,053 m

P8 ---- a : 71,053 – 0.265 = 69,788 m

a ---- b : 69,788 – 0.030 = 69,758 m

P8 ---- c : 71,053 – 0.185 = 70,868 m

c ---- d : 70,868 – 0.150 = 70,718 m

d ---- e : 70,718 + 0.155 = 70,870 m

e ---- f : 70,870 + 0.038 = 70,911 m

f ---- g : 70,911 + 0.227 = 71,138 m

P9 = 71,021 m

P9 ---- a : 71,021 – 0.100 = 70,921 m

a ---- b : 70,921 – 0.134 = 70,787 m

b ---- c : 70,787 + 0.129 = 70,916 m

c ---- d : 70,916 + 0.452 = 71,368 m

P9 ---- e : 71,021 – 0.135 = 70,886 m

e ---- f : 70,886 – 0.148 = 70,738 m

f ---- g : 70,738 + 0.340 = 71,078 m

P10 = 70,951 m

P10 ---- a : 70,951 – 0.065 = 70,886 m

a ---- b : 70,886 – 0.116 = 70,770m

b ---- c : 70,770 + 0.145 = 70,915 m

c ---- d : 70,915 + 0.483 = 71,398 m

P10 ---- e : 70,951 – 0.089 = 70,862 m

e ---- f : 70,862 – 0.105 = 70,757 m

f ---- g : 70,757 + 0.138 = 70,895 m

g ---- h : 70,895 + 0.192 = 71,087 m

P11 = 71,206 m

P11 ---- a : 71,206 – 0.183 = 71,023 m

P11 ---- b : 71,023 – 0.023 = 71,183 m

PERHITUNGAN KEMIRINGAN PROPIL MEMANJANG DAN MELINTANG

1. Kemiringan propil memanjang atau ( patok utama )

Rumus : ( AH / JARAK ) x 100

Po ---- P1 = (- 0.094 / 50 ) x 100 = - 0.188 %

P1 ---- P2 = (- 0.020 / 47 ) x 100 = - 0.043 %

P2 ---- P3 = (- 0.547 / 50 ) x 100 = - 1.094 %

P3 ---- P4 = (- 0.009 / 50 ) x 100 = - 0.018 %

P4 ---- P5 = ( 0.119 / 50 ) x 100 = 0.238 %

P5 ---- P6 = (- 0.050 / 27.5 ) x 100 = - 0.182 %

P6 ---- P7 = ( 0.100 / 45 ) x 100 = 0.222 %

P7 ---- P8 = ( 0.347 / 58 ) x 100 = 0.598 %

P8 ---- P9 = (- 0.032 / 50 ) x 100 = - 0.064 %

P9 ---- P10 = (- 0.071 / 52 ) x 100 = - 0.136 %

P10 ---- P11 = ( 0.255 / 51 ) x 100 = 0.500 %

2. Kemiringan Profil Patok Melintang ( Patok Detail )

Po ---- a = ( - 0.254 / 1.0 ) x 100 = - 25.40 %

a ---- b = ( - 0.069 / 0.5 ) x 100 = - 13.80 %

b ---- c = ( 0.039 / 5.5 ) x 100 = 0.709 %

c ---- d = ( 0.165 / 0.5 ) x 100 = 33.00 %

Po ---- e = ( - 0.392 / 1.0 ) x 100 = - 39.20 %

e ---- f = ( 0.214 / 0.5 ) x 100 = 42.80 %

f ---- g = ( - 0.221 / 6.6 ) x 100 = - 3.348 %

g ---- h = ( 0.205 / 0.5 ) x 100 = 41.00 %

P1 ---- a = ( - 0.076 / 1.5 ) x 100 = - 5.00 %

a ---- b = ( - 0.208 / 0.5 ) x 100 = - 41.60 %

b ---- c = ( 0.070 / 8.0 ) x 100 = 0.875 %

c ---- d = ( 0.251 / 0.5 ) x 100 = 50.20 %

P1 ---- e = ( - 0.066 / 1.0 ) x 100 = - 6.60 %

e ---- f = ( - 0.177 / 0.5 ) x 100 = - 35.40 %

f ---- g = ( 0.021 / 7.8 ) x 100 = 0.269 %

g ---- h = ( 0.017 / 0.5 ) x 100 = 3.40 %

P2 ---- a = ( - 0.240 / 2.0 ) x 100 = - 12.00 %

a ---- b = ( - 0.239 / 0.5 ) x 100 = - 47.80 %

b ---- c = ( 0.129 / 7.6 ) x 100 = 1.697 %

c ---- d = ( 0.215 / 0.5 ) x 100 = 43.00 %

P2 ---- e = ( - 0.242 / 2.0 ) x 100 = - 12.10 %

e ---- f = ( - 0.196 / 0.5 ) x 100 = - 39.20 %

f ---- g = ( - 0.001 / 5.7 ) x 100 = - 0.017 %

g ---- h = ( 0.274 / 0.5 ) x 100 = 49,40 %

P3 ---- a = ( - 0.026/ 3.7 ) x 100 = - 0.702%

a ---- b = ( 0.219 / 0.5 ) x 100 = 43.80 %

b ---- c = ( - 0.007 / 0.7 ) x 100 = - 1.00 %

c ---- d = ( -0.001/ 3.0 ) x 100 = - 0.033%

P3 ---- e = ( - 0..083 / 2.0 ) x 100 = - 4.150 %

e ---- f = ( 0.274 / 0.5 ) x 100 = 54.80 %

P4 ---- a = ( - 0.212 / 8.5 ) x 100 = - 2.494 %

P4 ---- b = ( - 0.123 / 4.1 ) x 100 = - 3.00 %

b ---- c = ( - 0.106 / 5.4 ) x 100 = - 1.962 %

c ---- d = ( 0.238 / 0.5 ) x 100 = 47.60 %

P5 ---- a = ( - 0.076 / 1.5 ) x 100 = - 5.066 %

a ---- b = ( - 0.087 / 1.0 ) x 100 = - 18.7 %

b ---- c = ( - 0.016 / 0.5 ) x 100 = - 3.20 %

P5 ---- d = ( 0.158 / 4.7 ) x 100 = 3.361 %

P6 ---- a = ( - 0.054 / 1.5 ) x 100 = - 3.60 %

a ---- b = ( - 0.187 / 0.5 ) x 100 = - 37.40 %

b ---- c = ( - 0.016 / 6.0 ) x 100 = - 0.262 %

c ---- d = ( 0.437 / 0.5 ) x 100 = 87.40 %

P6 ---- e = ( - 0.005 / 2.0 ) x 100 = - 0.250 %

e ---- f = ( 0.626 / 0.8 ) x 100 = 78.25 %

P7 ---- a = ( - 0.180 / 2.0 ) x 100 = - 9.00 %

a ---- b = ( - 0.287 / 0.8 ) x 100 = - 35.875 %

b ---- c = ( 0.164 / 7.5 ) x 100 = 2.186 %

c ---- d = ( 0.278 / 5.4 ) x 100 = 5.148 %

P7 ---- e = ( 0.058 / 1.5 ) x 100 = 3.866 %

P8 ---- a = ( - 0.265 / 1.9 ) x 100 = - 13.947 %

a ---- b = ( - 0.030 / 0.5 ) x 100 = - 6.000 %

P8 ---- c = ( - 0.185 / 5.9 ) x 100 = - 3.135 %

c ---- d = ( - 0.150 / 0.5 ) x 100 = - 30.00 %

d ---- e = ( 0.155 / 0.7 ) x 100 = 22.142 %

e ---- f = ( 0.038 / 1.0 ) x 100 = 3.80 %

f ---- g = ( 0.227 / 0.5 ) x 100 = 45.40 %

P9 ---- a = ( - 0.100 / 7.0 ) x 100 = - 1.428 %

a ---- b = ( - 0.134 / 0.5 ) x 100 = - 26.80 %

b ---- c = ( 0.129 / 0.4 ) x 100 = 32.25 %

c ---- d = ( 0.452 / 0.6 ) x 100 = 56.50 %

P9 ---- e = ( - 0.135 / 4.0 ) x 100 = - 3.375 %

e ---- f = ( - 0.148 / 0.5 ) x 100 = - 29.60 %

f ---- g = ( 0.340 / 0.6 ) x 100 = 56.66 %

P10 ---- a = ( - 0.065 / 6.0 ) x 100 = - 1.083 %

a ---- b = ( - 0.116 / 0.5 ) x 100 = - 23.20 %

b ---- c = ( 0.145 / 0.4 ) x 100 = 36.25 %

c ---- d = ( 0.483 / 0.8 ) x 100 = 60.375 %

P10 ---- e = ( - 0.089 / 2.6 ) x 100 = - 3.423 %

e ---- f = ( - 0.105 / 0.6 ) x 100 = - 17.50 %

f ---- g = ( 0.138 / 0.4 ) x 100 = 34.50 %

g ---- h = ( 0.192 / 0.6 ) x 100 = 32.00 %

P11 ---- a = ( - 0.183 / 7.0 ) x 100 = - 2. 614 %

P11 ---- b = ( - 0.023 / 2.0 ) x 100 = - 1.150 %

PERHITUNGAN VOLUME GALIAN DAN TIMBUNAN

Rumus :

· Trapesium = a + b . L

2

· Segitiga = ½ a . b

· Persegi = a . b

A. DETAIL Po

Galian

Po ---- a : (0.581 + 0.325 ) / 2 x 1,0 = 0.454 m2

a ---- b : (0.258 x 0,5) = 0.129 m2

b ---- c : (0.297 x 5,5) = 1.6335 m2

c ---- d : (0.297 + 0.462 ) / 2 x 0,5 = 0.18975 m2

Po ---- e : (0.581 + 0.189 ) / 2 x 1,0 = 0.385 m2

e ---- f : (0.189 + 0.403 ) / 2 x 0,5 = 0.148 m2

f ---- g : (0.403 + 0.182 ) / 2 x 6,6 = 1.9305 m2

g ---- h : (0.182 + 0.387 ) / 2 x 05 = 0.14225m2

B. DETAIL P1

Galian

P1 ---- a : (0.487 + 0.411 ) / 2 x 1,5 = 0.6735 m2

a ---- b : (0.411 + 0.203 ) / 2 x 0,5 = 0.1535 m2

b ---- c : (0.203 + 0.273 ) / 2 x 8,0 = 1.904 m2

c ---- d : (0.273 + 0.2532) / 2 x 0,5 = 0.20725 m2

P1 ---- e : (0.487 + 0.421 ) / 2 x 1,0 = 0.4545 m2

e ---- f : (0.421 + 0.229 ) / 2 x 0,5 = 0.1625 m2

f ---- g : (0.229 + 0.265 ) / 2 x 7,8 = 1.9266 m2

g ---- h : (0.265 x 0,5) = 0.1325 m2

C. DETAIL P2

Galian

P2 ---- a : (0.467 + 0.227 ) / 2 x 2,0 = 0.694 m2

a ---- b : ½ x 0.227 x 0.5 = 0.05675m2

c ---- d : (0.117 + 0.332 ) / 2 x 0,5 = 0.11225 m2

P2 ---- e : (0.467 + 0.229 ) / 2 x 2 = 0.696 m2

e ---- f : (0.229 x 0.5 =0.1145 m2

f ---- g : ½ x 0.229 x 5.7 = 0.65265 m2

g ---- h : ½ x 0.302 x 0.5 = 0.0755 m2

Timbunan

b ---- c : ½ x 0.117 x 7.6 = 0.446 m2

D. DETAIL P3

Galian

b ---- c : (0.106 x 0,7) = 0.0742 m2

c ---- d : (0.1006 x 3,0) = 0.318 m2

Timbunan

P3 ---- a : (0.08 x 3.7) = 0.296 m2

P3 ---- e : (0.08 + 0.163 ) / 2 x 2,0 = 0.243 m2

a ---- b : ½ x 0.113 x 0.5 = 0.02825 m2

e ---- f : ½ x 0.111 x 0.5 = 0.0277 m2

E. DETAIL P4

Galian

P4 ---- a : ½ x 0.3 x 8.5 = 1.275 m2

Timbunan

P4 ---- b : (0.088 + 0.423 ) / 2 x 4,1 = 1.04755m2

b ---- c : (0.423 + 0.529 ) / 2 x 5.4 = 2.5704 m2

c ---- d : ½ x 0.291 x 0.5 = 0.07275 m2

F. DETAIL P5

Timbunan

P5 ---- d : ½ x 0.066 x 0.20 = 0.006 m2

P5 ---- a : 0.045 x 1.5 = 0.0675 m2

a ---- b : (0.045 + 0.232 ) / 2 x 1.0 = 0.1385 m2

b ---- c : (0.232 x 0.5 = 0.116 m2

P5 ---- d : (0.045 + 0.09 ) / 2 x 4.7 = 0.31725m2

G. DETAIL P6

Timbunan

P6 ---- a : (0.019 + 0.073) / 2 x 1.5 = 0.069 m2

a ---- b : (0.073 + 0.26) / 2 x 0.5 = 0.08325 m2

b ---- c : (0.26 x 6.0) = 1.56 m2

P6 ---- c : 0.024 x 2.0 = 0.048 m2

Galian

c ---- d : ½ x 0.161 x 0.5 = 0.04025 m2

e ---- f : ½ x 0.602 x 0.8 = 0.2408 m2

H. DETAIL P7

Galian

P7 ---- e : 0.139 x 1.5 = 0.2085 m2

Timbunan

P7 ---- a : ½ x 0.081 x 2.0 = 0.081 m2

a ---- b : (0.099 + 0.386 ) / 2 x 0.8 = 0.194 m2

b ---- c : (0.386 + 0.222 ) / 2 x 7.50 = 2.28 m2

c ---- d : ½ x 0.056 x 5.4 = 0.1512 m2

I. DETAIL P8

Galian

P8 ---- a : (0.428 + 0.163) / 2 x 1.9 = 1.03645 m2

a ---- b : (0.163 + 0.133 ) / 2 x 0.5 = 0.074 m2

P8 ---- c : (0.928 + 0.243 ) / 2 x 5.9 = 3.45445 m2

c ---- d : (0.243 + 0.093) / 2 x 0.5 = 0.084 m2

d-----e : (0.093 + 0.248) / 2 x 0.7 = 0.11935 m2

e -----f : (0.248 + 0.286) / 2 x 1.0 = 0.267 m2

f -----g : (0.286 + 0.513) / 2 x 0.5 = 0.19975 m2

J. DETAIL P9

Galian

P9---- a : (0.396 + 0.296) / 2 x 7.0 = 2.422 m2

a ---- b : (0.296 + 0.162) / 2 x 0.5 = 0.1145m2

b ---- c : (0.162 + 0.291) / 2 x 0.4 = 0.0906m2

c ---- d : (0.291 + 0.743) / 2 x 0.6 = 0.3102 m2

P9 ---- e : (0.396 + 0.261) / 2 x 4.0 = 1.314 m2

e ---- f : (0.261 + 0.113) / 2 x 0.5 = 0.0935m2

f ---- g : (0.113 + 0.453) / 2 x 0.6 = 0.1698m2

K. DETAIL P10

Galian

P10 ---- a : (0.326 + 0.261) / 2 x 6.0 = 1.761 m2

a ---- b : (0.261 + 0.145) / 2 x 0.5 = 0.1015 m2

b ---- c : (0.145 + 0.29 ) / 2 x 0.4 = 0.087 m2

c ---- d : (0.29 + 0.773) / 2 x 0.8 = 0.4252 m2

P10 ----e : (0.326 + 0.237) / 2 x 2.6 = 0.7319 m2

e ---- f : (0.237 + 0.132) / 2 x 0.6 = 0.09225m2

f ---- g : (0.132 + 0.27 ) / 2 x 0.4 = 0.0804 m2

g ---- h : (0.27 + 0.462 ) / 2 x 0.6 = 0.2196 m2

L. DETAIL P11

Galian

P11---- a : (0.581 + 0.3987) / 2 x 7.0 = 3.4265 m2

P11 ---- b : (0.581+ 0.375 ) / 2 x 2.0 = 0.956 m2

PERHITUNGAN VOLUME RATA-RATA GALIAN DAN TIMBUNAN

RUMUS : LUAS x ( ½ JARAK MUKA + ½ JARAK BELAKANG )

A. Detail Po

Volume galian = 3.310 x 25.00 = 82.750 m3

B. Detail P1

Volume galian = 3.789 x (25.0 + 23.5) = 183.766 m3

C. Detail P2

Volume timbunan = 0.744 x (23.5 + 25.0) = 36.084 m3

Volume galian = 1.135 x (23.5 + 25.0) = 55.047 m3

D. Detail P3

Volume timbunan = 1.273 x (25.0 + 25.0) = 63.650 m3

Volume galian = 0.022 x (25.0 + 25.0) = 1.100 m3

E. Detail P4

Volume timbunan = 6.160 x (25.0 + 25.0) = 308.000 m3

F. Detail P5

Volume galian = 0.140 x (25.0 + 13.75) = 5.425 m3

Volume timbunan = 0.655 x (25.0 + 13.75) = 25.381 m3

G. Detail P6

Volume galian = 0.151 x (13.75 + 22.5) = 36.250 m3

Volume timbunan = 2.908 x (13.75 + 22.5) = 105.415 m3

H. Detail P7

Volume galian = 0.013 x (22.5 + 29.0) = 0.669 m3

Volume timbunan = 4.427 x (22.5 + 29.0) = 227.991 m3

I. Detail P8

Volume galian = 2.140 x (29.0 + 25.0) = 115.560 m3

Volume timbunan = 0.002 x (29.0 + 25.0) = 0.108 m3

J. Detail P9

Volume galian = 3.140 x (26.0 + 25.5) = 160.140 m3

K. Detail P10

Volume galian = 2.303 x (26.0 + 25.5) = 118.605 m3

L. Detail P11

Volume galian = 3.647 x (25.5) = 92.999 m3

VOLUME TOTAL

Galian = Po – P11 = 852.311 m3

Timbunan = Po – P11 = 766.629 m3

CONTOH PERHITUNGAN DALAM ILMU UKUR TANAH

v RUMUS-RUMUS YANG DIGUNAKAN
  1. Perhitungan jarak optis pada profil memanjang

( D = BA – BB ) x 100

dimana : D = Jarak Optis

BA = Benang Atas

BB = Benang Bawah

  1. Perhitungan Jarak Optis Pada Profil Melintang

( D = BA – BT ) x 100

dimana : BT = Benang Tengah

  1. Perhitungan Beda Tinggi Pergi dan Pulang

( AH = BT belakang – BT muka )

  1. Perhitungan Beda Tinggi Rata-Rata

AH Rata-rata = ( AH pergi + AH pulang ) / 2

  1. Perhitungan Beda Tinggi Untuk Profil Melintang (Detail)

AH = BT belakang – BT detail

  1. Perhitungan Tinggi patok Utama

TPU = Tinggi titik + AH rata-rata

  1. Perhitungan Kemiringan Detail = AH detail x 100 % / Jarak ukur detail
  2. Perhitungan Tinggi Titik Detail

TTD = TPU + AH detail

  1. Perhitungan Kemiringan Patok Utama

AH rata-rata x 100 % / Jarak ukur detail

  1. Perhitungan Volume Timbunan

D = ( BA – BB ) x 100

ü Persegi panjang = Panjang x Lebar

ü Segitiga = ½ Alas x Tinggi

ü Volume Perhitungan timbunan dan galian = ½ x Jarak muka + ½ x Jarak belakang

ü Trapezium = Jumlah dua sisi berhadapan x Tinggi

2

Perhitungan Koreksi Benang Tengah
  1. Patok Utama Pergi

Po Belakang : 0.966 + 0.744 / 2 = 0.855 m

P1 Muka : 1.094 + 0.805 /2 = 0.949 m

Belakang : 1.056 + 0.740 /2 = 0.898 m

P2 Muka : 1.001 + 0.895 / 2 = 0.918 m

Belakang : 0.995 + 0.715 / 2 = 0.855 m

P3 Muka : 1.511 + 1.291 / 2 = 1.401 m

Belakang : 1.080 + 0.812 / 2 = 0.946 m

P4 Muka : 1.079 + 0.828 / 2 = 0.954 m

Belakang : 1.013 + 0.789 / 2 = 1.901 m

P5 Muka : 0.921 + 0.641 / 2 = 0.781 m

Belakang : 1.043 + 0.903 / 2 = 0.973 m

P6 Muka : 1.094 + 0.952 / 2 = 1.023 m

Belakang : 1.084 + 0.906 / 2 = 0.995 m

P7 Muka : 1.026 + 0.764 / 2 = 0.895 m

Belakang : 1.046 + 0.860 /2 = 0.953 m

P8 Muka : 0.810 + 0.400 / 2 = 0.605 m

Belakang : 1.195 + 0.980 /2 = 1.087 m

P9 Muka : 1.258 + 0.972 /2 = 1.115 m

Belakang : 1.386 + 1.123 / 2 = 1.254 m

P10 Muka : 1.459 + 1.189 / 2 = 1.324 m

Belakang : 1.495 + 1.187 / 2 = 1.341 m

P11 Muka : 1.187 + 0.985 / 2 = 1.086 m

  1. Patok Utama Pulang

P11 Belakang : 1.206 + 0.930 / 2 = 1.068 m

P10 Muka : 1.474 + 1.236 / 2 = 1.355 m

Belakang : 1.352 + 1.179 / 2 = 1.265 m

P9 Muka : 1.365 + 1.023 / 2 = 1.194 m

Belakang : 1.444 + 1.233 /2 = 1.339 m

P8 Muka : 1.455 + 1.155 / 2 = 1.305 m

Belakang : 1.227 + 0.999 / 2 = 1.113 m

P7 Muka : 1.640 +1.278 / 2 = 1.459 m

Belakang : 1.095 + 0.858 / 2 = 0.976 m

P6 Muka : 1.190 + 0.962 / 2 = 1.076 m

Belakang : 1.323 + 1.185 / 2 = 1.254 m

P5 Muka : 1.282 + 1.125 / 2 = 1.204 m

Belakang : 1.099 + 0.868 / 2 = 0.984 m

P4 Muka : 1.240 + 0.965 / 2 = 1.102 m

Belakang : 1.169 + 0.930 / 2 = 1.050 m

P3 Muka : 1.182 + 0.900 / 2 = 1.041 m

Belakang : 1.375 + 1.145 / 2 = 1.260 m

P2 Muka : 0.850 + 0.574 / 2 = 0.712 m

Belakang : 0.830 + 0.598 / 2 = 0.714 m

P1 Muka : 0.811 + 0.577 / 2 = 0.694 m

Belakang : 1.009 + 0.788 / 2 = 0.894 m

P0 Muka : 0.935 + 0.664 / 2 = 0.799 m

  1. Patok Utama Pergi

Rumus : ( BA + BB ) / 2

Po ---- a : 1.298 + 1.058 / 2 = 1.178 m

a ---- b : 1.298 + 1.058 / 2 = 1.178 m

b ---- c : 1.281 + 0.997 / 2 = 1.139 m

c ---- d : 1.116 + 0.832 / 2 = 0.974 m

e ---- f : 1.306 + 1.134 / 2 = 1.220 m

f ---- g : 1.146 + 0.920 / 2 = 1.033 m

g ---- h : 1.324 + 1.118 / 2 = 1.254 m

h ---- j : 1.119 + 0.979 / 2 = 1.049 m

P1 ---- a : 1.129 + 0.819 / 2 = 0.974 m

a ---- b : 1.337 + 1.027 / 2 = 1.182 m

b ---- c : 1.131 + 0.887 / 2 = 1.109 m

c ---- d : 1.086 + 0.636 / 2 = 0.861 m

e ---- f : 1.109 + 0.819 / 2 = 0.964 m

f ---- g : 1.286 + 0.996 / 2 = 1.141 m

g ---- h : 1.264 + 0.976 / 2 = 1.120 m

h ---- j : 1.247 + 0.959 / 2 = 1.103 m

P2 ---- a : 1.187 + 1.003 / 2 = 1.095 m

a ---- b : 1.424 + 1.244 / 2 = 1.334 m

b ---- c : 1.325 + 1.081 / 2 = 1.203 m

c ---- d : 1.115 + 0.865 / 2 = 0.990 m

e ---- f : 1.192 + 1.002 / 2 = 1.097 m

f ---- g : 1.390 + 1.196 / 2 = 1.293 m

g ---- h : 1.437 + 1.151 / 2 = 1.294 m

h ---- j : 1.166 + 0.874 / 2 = 1.020 m

P3 ---- a : 1.097 + 0.847 / 2 = 0.972 m

a ---- b : 0.877 + 0.629 / 2 = 0.753 m

b ---- c : 0.883 + 0.637 / 2 = 0.760 m

c ---- d : 0.881 + 0.641 / 2 = 0.761 m

e ---- f : 1.174 + 0.884 / 2 = 1.029 m

f ---- g : 0.901 + 0.609 / 2 = 0.755 m

P4 ---- a : 1.244 + 0.982 / 2 = 1.113 m

P4 ---- b : 1.135 + 0.913 / 2 = 1.024 m

b ---- c : 1.253 + 1.007 / 2 = 1.130 m

c ---- d : 1.016 + 0.768 / 2 = 0.892 m

P5 ---- a : 1.139 + 0.959 / 2 = 1.049 m

a ---- b : 1.326 + 1.146 / 2 = 1.236 m

b ---- c : 1.328 + 1.176 / 2 = 1.252 m

a ---- e : 0.891 + 0.739 / 2 = 0.815 m

P6 ---- a : 1.139 + 0.959 / 2 = 1.049 m

a ---- b : 1.326 + 1.146 / 2 = 1.236 m

b ---- c : 1.328 + 1.176 / 2 = 1.252 m

c ---- d : 0.891 + 0.739 / 2 = 0.815 m

e ---- f : 1.091 + 0.909 / 2 = 1.000 m

f ---- g : 0.466 + 0.282 / 2 = 0.374 m

P7 ---- a : 1.226 + 1.040 / 2 = 1.133 m

a ---- b : 1.513 + 1.327 / 2 = 1.420 m

b ---- c : 1.344 + 1.168 / 2 = 1.256 m

c ---- d : 1.101 + 0.855 / 2 = 0.978 m

e ---- f : 1.019 + 0.711 / 2 = 0.865 m

P8 ---- a : 1.465 + 1.235 / 2 = 1.350 m

a ---- b : 1.495 + 1.265 / 2 = 1.380 m

c ---- d : 1.380 + 1.160 / 2 = 1.270 m

d ---- e : 1.530 + 1.310 / 2 = 1.420 m

e ---- f : 1.375 + 1.155 / 2 = 1.265 m

f ---- g : 1.337 + 1.117 / 2 = 1.227 m

g ---- h : 1.110 + 0.890 / 2 = 1.000 m

P9 ---- a : 1.464 + 1.242 / 2 = 1.353 m

a ---- b : 1.599 + 1.377 / 2 = 1.488 m

b ---- c : 1.470 + 1.248 / 2 = 1.359 m

c ---- d : 1.018 + 0.796 / 2 = 0.907 m

e ---- f : 1.410 + 1.266 / 2 = 1.388 m

f ---- g : 1.658 + 1.414 / 2 = 1.536 m

g ---- h : 1.318 + 1.074 / 2 = 1.196 m

P10 ---- a : 1.461 + 1.351 / 2 = 1.406 m

a ---- b : 1.577 + 1.467 / 2 = 1.522 m

b ---- c : 1.432 + 1.322 / 2 = 1.377 m

c ---- d : 0.949 + 0.839 / 2 = 0.894 m

e ---- f : 1.502 + 1.358 / 2 = 1.430 m

f ---- g : 1.607 + 1.463 / 2 = 1.535 m

g ---- h : 1.469 + 1.325 / 2 = 1.397 m

h ---- i : 1.277 + 1.133 / 2 = 1.205 m

P11 ---- a : 1.395 + 1.171 / 2 = 1.283 m

b ---- c : 1.230 + 1.016 / 2 = 1.123 m

PERHITUNGAN JARAK OPTIS

Rumus : D = ( BA – BB ) X 100

  1. Untuk Patok Utama Pergi

Po ---- P1 : Belakang : ( 0.966 – 0.744 ) x 100 = 22.20

Muka : ( 1.094 – 0.805 ) x 100 = 28.90

Jumlah = 51.10

P1 ---- P2 : Belakang : ( 1.056 – 0.740 ) x 100 = 31.60

Muka : ( 1.001 – 0.835 ) x 100 = 16.60

Jumlah = 48.20

P2 ---- P3 : Belakang : ( 0.995 – 0.715 ) x 100 = 28.00

Muka : ( 1.511 – 1.291 ) x 100 = 22.00

Jumlah = 50.00

P3 ---- P4 : Belakang : ( 1.080 – 0.812 ) x 100 = 26.80

Muka : ( 1.079 – 0.828 ) x 100 = 25.10

Jumlah = 51.90

P4 ---- P5 : Belakang : ( 1.013 – 0.789 ) x 100 = 22.40

Muka : ( 0.921 – 0.641 ) x 100 = 28.00

Jumlah = 58.40

P5 ---- P6 : Belakang : ( 1.043 – 0.903 ) x 100 = 14.00

Muka : ( 1.094 – 0.952 ) x 100 = 14.20

Jumlah = 28.20

P6 ---- P7 : Belakang : ( 1.084 – 0.906 ) x 100 = 17.80

Muka : ( 1.026 – 0.764 ) x 100 = 26.20

Jumlah = 44.00

P7 ---- P8 : Belakang : ( 1.046 – 0.860 ) x 100 = 18.60

Muka : ( 0.810 – 0.400 ) x 100 = 41.00

Jumlah = 59.60

P8 ---- P9 : Belakang : ( 1.195 – 0.980 ) x 100 = 21.50

Muka : ( 1.258 – 0.972 ) x 100 = 28.60

Jumlah = 50.10

P9 ---- P10 : Belakang : ( 1.386 – 1.123 ) x 100 = 26.30

Muka : ( 1.459 – 1.189 ) x 100 = 27.00

Jumlah = 53.30

P10 ---- P11 : Belakang : ( 1.495 – 1.187 ) x 100 = 30.80

Muka : ( 1.187 – 0.985 ) x 100 = 20.20

Jumlah = 51.00

  1. Untuk Patok Utama Pulang

P11 ---- P10 : Belakang : ( 1.206 – 0.930 ) x 100 = 27.60

Muka : ( 1.474 – 1.236 ) x 100 = 23.80

Jumlah = 51.40

P10 ---- P9 : Belakang : ( 1.352 – 1.179 ) x 100 = 17.30

Muka : ( 1.365 – 1.023 ) x 100 = 34.20

Jumlah = 51.50

P9 ---- P8 : Belakang : ( 1.444 – 1.233 ) x 100 = 21.10

Muka : ( 1.455 – 1.155 ) x 100 = 30.00

Jumlah = 51.10

P8 ---- P7 : Belakang : ( 1.227 – 0.999 ) x 100 = 22.80

Muka : ( 1.640 – 1.278 ) x 100 = 36.20

Jumlah = 59.00

P7 ---- P6 : Belakang : ( 1.095 – 0.858 ) x 100 = 23.70

Muka : ( 1.190 – 0.962 ) x 100 = 22.80

Jumlah = 46.50

P6 ---- P5 : Belakang : ( 1.323 – 1.185 ) x 100 = 13.80

Muka : ( 1.282 – 1.125 ) x 100 = 115.70

Jumlah = 29.50

P5 ---- P4 : Belakang : ( 1.099 – 0.868 ) x 100 = 23.10

Muka : ( 1.240 – 0.965 ) x 100 = 27.50

Jumlah = 50.60

P4 ---- P3 : Belakang : ( 1.169 – 0.930 ) x 100 = 23.90

Muka : ( 1.182 – 0.900 ) x 100 = 28.20

Jumlah = 52.10

P3 ---- P2 : Belakang : ( 1.375 – 1.145 ) x 100 = 23.00

Muka : ( 0.850 – 0.574 ) x 100 = 27.60

Jumlah = 50.60

P2 ---- P1 : Belakang : ( 0.830 – 0.598 ) x 100 = 23.20

Muka : ( 0.811 – 0.577 ) x 100 = 23.40

Jumlah = 46.60

P1 ---- Po : Belakang : ( 1.009 – 0.778 ) x 100 = 23.10

Muka : ( 0.935 – 0.664 ) x 100 = 27.10

Jumlah = 50.20

  1. Untuk Patok Rata-rata

D. Rata-rata = ( D. Pergi + D. Pulang ) / 2

Po ---- P1 Rata-rata : ( 51.10 + 50.20 ) / 2 = 50.65 m

P1 ---- P2 Rata-rata : ( 48.20 + 46.60 ) / 2 = 47.40 m

P2 ---- P3 Rata-rata : ( 50.00 + 50.60 ) / 2 = 50.30 m

P3 ---- P4 Rata-rata : ( 51.90 + 52.10 ) / 2 = 52.00 m

P4 ---- P5 Rata-rata : ( 58.40 + 50.60 ) / 2 = 54.50 m

P5 ---- P6 Rata-rata : ( 28.20 + 29.50 ) / 2 = 28.85 m

P6 ---- P7 Rata-rata : ( 44.00 + 46.50 ) / 2 = 45.25 m

P7 ---- P8 Rata-rata : ( 59.60 + 59.00 ) / 2 = 59.30 m

P8 ---- P9 Rata-rata : ( 50.10 + 51.10 ) / 2 = 50.60 m

P9 ---- P10 Rata-rata : ( 53.30 + 51.50 ) / 2 = 52.40 m

P10 --- P11 Rata-rata : ( 51.00 + 51.40 ) / 2 = 51.20 m

PERHITUNGAN BEDA TINGGI

Rumus AH = BT. Belakang – BT. Muka

1. Perhitungan Beda Tinggi Pergi

Po ---- P1 AH : 0.855 – 0.949 = - 0.094 m

P1 ---- P2 AH : 0.898 – 0.918 = - 0.020 m

P2 ---- P3 AH : 0.855 – 1.401 = - 0.546 m

P3 ---- P4 AH : 0.946 – 0.954 = - 0.008 m

P4 ---- P5 AH : 1.901 – 0.781 = 1.120 m

P5 ---- P6 AH : 0.973 – 1.023 = - 0.050 m

P6 ---- P7 AH : 0.995 – 0.985 = 0.100 m

P7 ---- P8 AH : 0.953 – 0.605 = 0.384 m

P8 ---- P9 AH : 1.085 – 1.115 = - 0.030 m

P9 ---- P10 AH : 1.254 – 1.324 = - 0.070 m

P10 --- P11 AH : 1.341 – 1.086 = 0.255 m

2. Perhitungan Beda Tinggi Pulang

P11 --- P10 AH : 1.100 – 1.355 = - 0.255 m

P10 --- P9 AH : 1.265 – 1.194 = 0.071 m

P9 ---- P8 AH : 1.339 – 1.395 = 0.034 m

P8 ---- P7 AH : 1.113 – 1.459 = - 0.346 m

P7 ---- P6 AH : 0.976 – 1.076 = - 0.100 m

P6 ---- P5 AH : 1.254 – 1.204 = 0.050 m

P5 ---- P4 AH : 0.984 – 1.102 = - 0.118 m

P4 ---- P3 AH : 1.050 – 1.041 = 0.009 m

P3 ---- P2 AH : 1.260 – 0.712 = 0.548 m

P2 ---- P1 AH : 0.714 – 0.694 = 0.020 m

P1 ---- Po AH : 0.894 – 0.800 = 0.094 m

3. Perhitungan Beda Tinggi Rata-rata

AH Rata-rata = ( AH. Pergi + AH. Pulang ) / 2

Po ---- P1 Rata-rata : ( - 0.094 + 0.094 ) / 2 = - 0.094 m

P1 ---- P2 Rata-rata : ( - 0.020 + 0.020 ) / 2 = - 0.020 m

P2 ---- P3 Rata-rata : ( - 0.546 + 0.548 ) / 2 = - 0.547 m

P3 ---- P4 Rata-rata : ( - 0.008 + 0.009 ) / 2 = - 0.0085 m

P4 ---- P5 Rata-rata : ( 0.120 + (-0.118 ) / 2 = 0.119 m

P5 ---- P6 Rata-rata : ( - 0.050 + 0.050 ) / 2 = - 0.050 m

P6 ---- P7 Rata-rata : ( 0.100 + (-0.100 ) / 2 = 0.100 m

P7 ---- P8 Rata-rata : ( 0.348+ (-0.346 ) / 2 = 0.347 m

P8 ---- P9 Rata-rata : ( - 0.030 + 0.034 ) / 2 = - 0.032 m

P9 ---- P10 Rata-rata : ( - 0.070 + 0.071 ) / 2 = - 0.0705 m

P10 --- P11 Rata-rata : ( 0.255 + (- 0.255 ) / 2 = 0.255 m

  1. Perhitungan Beda Tinggi Detail

Patok Detail Rata-rata = ( BT. Patok Utama – BT. Patok Detail )

Po ---- a : 0.855 – 1.109 = - 0.254 m

a ---- b : 1.109 – 1.178 = - 0.069 m

b ---- c : 1.178 – 1.139 = 0.039 m

c ---- d : 1.139 – 0.974 = 0.165 m

Po ---- e : 0.855 – 1.247 = - 0.392 m

e ---- f : 1.247 – 1.033 = 0.214 m

f ---- g : 1.033 – 1.254 = - 0.221 m

g ---- h : 1.254 – 1.094 = 0.205 m

P1 ---- a : 0.898 – 0.974 = - 0.076 m

a ---- b : 1.974 – 1.182 = - 0.208 m

b ---- c : 1.182 – 1.112 = 0.070 m

c ---- d : 1.112 – 0.861 = 0.251 m

P1 ---- e : 0.898 – 0.964 = - 0.066 m

e ---- f : 0.964 – 1.1141 = - 0.177 m

f ---- g : 1.141 – 1.120 = - 0.021 m

g ---- h : 1.120 – 1.103 = 0.017 m

P2 ---- a : 0.855 – 1.095 = - 0.240 m

a ---- b : 1.095 – 1.334 = - 0.239 m

b ---- c : 1.334 – 1.205 = 0.129 m

c ---- d : 1.205 – 0.990 = 0.215 m

P2 ---- e : 0.855 – 1.097 = - 0.242 m

e ---- f : 1.097 – 1.293 = - 0.196 m

f ---- g : 1.293 – 1.294 = - 0.001 m

g ---- h : 1.294 – 1.020 = 0.274 m

P3 ---- a : 0.946 – 0.972 = - 0.026 m

a ---- b : 0.972 – 0.753 = 0.219 m

b ---- c : 0.753 – 0.760 = - 0.007 m

c ---- d : 0.760 – 0.761 = - 0.001 m

P3 ---- e : 0.946 – 1.029 = - 0.083 m

e ---- f : 1.029 – 0.755 = 0.274 m

P4 ---- a : 1.901 – 1.113 = 0.788 m

P4 ---- b : 1.901 – 1.024 = 0.877 m

b ---- c : 1.024 – 1.130 = - 0.106 m

c ---- d : 1.130 – 0.892 = 0.238 m

P5 ---- a : 0.973 – 1.139 = - 0.166 m

a ---- b : 1.139 – 1.236 = - 0.097 m

b ---- c : 1.236 – 1.252 = - 0.016 m

P5 ---- d : 0.973 – 0.815 = 0.158 m

P6 ---- a : 0.995 – 1.049 = - 0.054 m

a ---- b : 1.049 – 1.236 = - 0.187 m

b ---- c : 1.236 – 1.252 = - 0.106 m

c ---- d : 1.252 – 0.815 = 0.437 m

P6 ---- e : 0.995 – 1.000 = - 0.005 m

e ---- f : 1.000 – 0.374 = 0.626 m

P7 ---- a : 0.953 – 1.133 = - 0.180 m

a ---- b : 1.133 – 1.420 = - 0.287 m

b ---- c : 1.420 – 1.256 = 0.164 m

c ---- d : 1.256 – 0.978 = 0.278 m

P7 ---- e : 0.953 – 0.895 = 0.058 m

P8 ---- a : 1.087 – 1.350 = - 0.263 m

a ---- b : 1.350 – 1.380 = - 0.030 m

P8 ---- c : 1.087 – 1.270 = - 0.183 m

c ---- d : 1.270 – 0.420 = - 0.150 m

d ---- e : 1.420 – 1.265 = 0.155 m

e ---- f : 1.265 – 1.227 = 0.038 m

f ---- g : 1.227 – 1.000 = 0.227 m

P9 ---- a : 1.254 – 1.353 = - 0.099 m

a ---- b : 1.353 – 1.488 = - 0.135 m

b ---- c : 1.488 – 1.359 = 0.129 m

c ---- d : 1.359 – 0.907 = 0.452 m

P9 ---- e : 1.254 – 1.388 = - 0.134 m

e ---- f : 1.388 – 1.536 = - 0.148 m

f ---- g : 1.536 – 1.196 = 0.340 m

P10 ---- a : 1.341 – 1.406 = - 0.065 m

a ---- b : 1.406 – 1.522 = - 0.116 m

b ---- c : 1.522 – 1.377 = 0.145 m

c ---- d : 1.377 – 0.894 = 0.483 m

P10 ---- e : 1.341 – 1.430 = - 0.089 m

e ---- f : 1.430 – 1.535 = - 0.105 m

f ---- g : 1.535 – 1.397 = 0.138 m

g ---- h : 1.397 – 1.205 = 0.192 m

P11 ---- a : 1.086 – 1.283 = - 0.197 m

P11 ---- b : 1.086 – 1.123 = - 0.037 m

PERHITUNGAN ELEVASI AWAL DAN ∆H RATA-RATA

P8 = 71,053 m2

P9 = 71,053– 0.032 = 71,021 m2

P10 = 71,021 – 0.070 = 70,951 m2

P11 = 70,951 – 0.255 = 71,206 m2

P7 = 71,053 – 0,347 = 70,706 m2

P6 = 70,706 – 0.100 = 70,606 m2

P5 = 70,606 + 0.050 = 70,656 m2

P4 = 70,656 - 0.119 = 70,537 m2

P3 = 70,537 – 0.008 = 70,545 m2

P2 = 70,545 – 0.547 = 71,092 m2

P1 = 71,092 + 0.020 = 71,112 m2

Po = 71,112 + 0.094 = 71,206 m2

1. PERHITUNGAN DETAIL

Po = 71,206 m2

Po ---- a : 71,206 – 0.254 = 70,952 m2

a ---- b : 70,952 – 0.069 = 70,883 m2

b ---- c : 70,883 + 0.039 = 70,992 m2

c ---- d : 70,992 + 0.165 = 71,087 m2

Po ---- e : 71,206 – 0.392 = 70,814 m2

e ---- f : 70,814 + 0.214 = 71,028 m2

f ---- g : 71,028 – 0.221 = 70,807 m2

g ---- h : 70,807 + 0.205 = 71,012 m2

P1 = 71,112 m2

P1 ---- a : 71,112 – 0.076 = 71,036 m2

a ---- b : 71,036 – 0.208 = 70,828 m2

b ---- c : 70,828 + 0.070 = 70,898 m2

c ---- d : 70,898 + 0.251 = 71,149 m2

P1 ---- e : 71,112 – 0.066 = 71,046 m2

e ---- f : 71,046 – 0.177 = 70,869 m2

f ---- g : 70,869 + 0.021 = 70,890 m2

g ---- h : 70,890 + 0.017 = 70,907 m2

P2 = 71,092 m2

P2 ---- a : 71,092 – 0.240 = 70,852 m2

a ---- b : 70,852 – 0.239 = 70,613 m2

b ---- c : 70,613 + 0.129 = 70,742 m2

c ---- d : 70,742 + 0.215 = 70,557 m2

P2 ---- e : 71,092 – 0.242 = 70,850 m2

e ---- f : 70,850 – 0.196 = 70,654 m2

f ---- g : 70,654 – 0.001 = 70,653 m2

g ---- h : 70,653 + 0.274 = 70,927 m2

P3 = 70,545 m2

P3 ---- a : 70,545 – 0.026 = 70,519 m

a ---- b : 70,519 + 0.219 = 70,738 m

b ---- c : 70,738 – 0.007 = 70,731 m

c ---- d : 70,731 – 0.001 = 70,730 m

P3 ---- e : 70,545 – 0.083 = 70,462 m

e ---- f : 70,462 + 0.274 = 70,736 m

P4 = 70,537 m

P4 ---- a : 70,537 – 0.212 = 70,749 m

P4 ---- b : 70,749 – 0.123 = 70,660 m

b ---- c : 70,660 – 0.106 = 70,554 m

c ---- d : 70,554 – 0.238 = 70,792 m

P5 = 70,656 m

P5 ---- a : 70,656 – 0.076 = 70,580 m

a ---- b : 70,580 – 0.187 = 70,393 m

b ---- c : 70,393 – 0.016 = 70,377 m

P5 ---- d : 70,656 – 0.158 = 70,814 m

P6 = 70,606 m

P6 ---- a : 70,606 – 0.054 = 70,552 m

a ---- b : 70,552 – 0.187 = 70,365 m

b ---- c : 70,365 – 0.016 = 70,349 m

c ---- d : 70,349 + 0.437 = 70,786 m

P6 ---- e : 70,606 – 0.005 = 70,601 m

e ---- f : 70,601 + 0.626 = 71,227 m

P7 = 70,706 m

P7 ---- a : 70,706 – 0.180 = 70,526 m

a ---- b : 70,526 – 0.287 = 70,239 m

b ---- c : 70,239 + 0.164 = 70,403 m

c ---- d : 70,403 + 0.278 = 70,681 m

P7 ---- e : 70,706 + 0.058 = 70,764 m

P8 = 71,053 m

P8 ---- a : 71,053 – 0.265 = 69,788 m

a ---- b : 69,788 – 0.030 = 69,758 m

P8 ---- c : 71,053 – 0.185 = 70,868 m

c ---- d : 70,868 – 0.150 = 70,718 m

d ---- e : 70,718 + 0.155 = 70,870 m

e ---- f : 70,870 + 0.038 = 70,911 m

f ---- g : 70,911 + 0.227 = 71,138 m

P9 = 71,021 m

P9 ---- a : 71,021 – 0.100 = 70,921 m

a ---- b : 70,921 – 0.134 = 70,787 m

b ---- c : 70,787 + 0.129 = 70,916 m

c ---- d : 70,916 + 0.452 = 71,368 m

P9 ---- e : 71,021 – 0.135 = 70,886 m

e ---- f : 70,886 – 0.148 = 70,738 m

f ---- g : 70,738 + 0.340 = 71,078 m

P10 = 70,951 m

P10 ---- a : 70,951 – 0.065 = 70,886 m

a ---- b : 70,886 – 0.116 = 70,770m

b ---- c : 70,770 + 0.145 = 70,915 m

c ---- d : 70,915 + 0.483 = 71,398 m

P10 ---- e : 70,951 – 0.089 = 70,862 m

e ---- f : 70,862 – 0.105 = 70,757 m

f ---- g : 70,757 + 0.138 = 70,895 m

g ---- h : 70,895 + 0.192 = 71,087 m

P11 = 71,206 m

P11 ---- a : 71,206 – 0.183 = 71,023 m

P11 ---- b : 71,023 – 0.023 = 71,183 m

PERHITUNGAN KEMIRINGAN PROPIL MEMANJANG DAN MELINTANG

1. Kemiringan propil memanjang atau ( patok utama )

Rumus : ( AH / JARAK ) x 100

Po ---- P1 = (- 0.094 / 50 ) x 100 = - 0.188 %

P1 ---- P2 = (- 0.020 / 47 ) x 100 = - 0.043 %

P2 ---- P3 = (- 0.547 / 50 ) x 100 = - 1.094 %

P3 ---- P4 = (- 0.009 / 50 ) x 100 = - 0.018 %

P4 ---- P5 = ( 0.119 / 50 ) x 100 = 0.238 %

P5 ---- P6 = (- 0.050 / 27.5 ) x 100 = - 0.182 %

P6 ---- P7 = ( 0.100 / 45 ) x 100 = 0.222 %

P7 ---- P8 = ( 0.347 / 58 ) x 100 = 0.598 %

P8 ---- P9 = (- 0.032 / 50 ) x 100 = - 0.064 %

P9 ---- P10 = (- 0.071 / 52 ) x 100 = - 0.136 %

P10 ---- P11 = ( 0.255 / 51 ) x 100 = 0.500 %

2. Kemiringan Profil Patok Melintang ( Patok Detail )

Po ---- a = ( - 0.254 / 1.0 ) x 100 = - 25.40 %

a ---- b = ( - 0.069 / 0.5 ) x 100 = - 13.80 %

b ---- c = ( 0.039 / 5.5 ) x 100 = 0.709 %

c ---- d = ( 0.165 / 0.5 ) x 100 = 33.00 %

Po ---- e = ( - 0.392 / 1.0 ) x 100 = - 39.20 %

e ---- f = ( 0.214 / 0.5 ) x 100 = 42.80 %

f ---- g = ( - 0.221 / 6.6 ) x 100 = - 3.348 %

g ---- h = ( 0.205 / 0.5 ) x 100 = 41.00 %

P1 ---- a = ( - 0.076 / 1.5 ) x 100 = - 5.00 %

a ---- b = ( - 0.208 / 0.5 ) x 100 = - 41.60 %

b ---- c = ( 0.070 / 8.0 ) x 100 = 0.875 %

c ---- d = ( 0.251 / 0.5 ) x 100 = 50.20 %

P1 ---- e = ( - 0.066 / 1.0 ) x 100 = - 6.60 %

e ---- f = ( - 0.177 / 0.5 ) x 100 = - 35.40 %

f ---- g = ( 0.021 / 7.8 ) x 100 = 0.269 %

g ---- h = ( 0.017 / 0.5 ) x 100 = 3.40 %

P2 ---- a = ( - 0.240 / 2.0 ) x 100 = - 12.00 %

a ---- b = ( - 0.239 / 0.5 ) x 100 = - 47.80 %

b ---- c = ( 0.129 / 7.6 ) x 100 = 1.697 %

c ---- d = ( 0.215 / 0.5 ) x 100 = 43.00 %

P2 ---- e = ( - 0.242 / 2.0 ) x 100 = - 12.10 %

e ---- f = ( - 0.196 / 0.5 ) x 100 = - 39.20 %

f ---- g = ( - 0.001 / 5.7 ) x 100 = - 0.017 %

g ---- h = ( 0.274 / 0.5 ) x 100 = 49,40 %

P3 ---- a = ( - 0.026/ 3.7 ) x 100 = - 0.702%

a ---- b = ( 0.219 / 0.5 ) x 100 = 43.80 %

b ---- c = ( - 0.007 / 0.7 ) x 100 = - 1.00 %

c ---- d = ( -0.001/ 3.0 ) x 100 = - 0.033%

P3 ---- e = ( - 0..083 / 2.0 ) x 100 = - 4.150 %

e ---- f = ( 0.274 / 0.5 ) x 100 = 54.80 %

P4 ---- a = ( - 0.212 / 8.5 ) x 100 = - 2.494 %

P4 ---- b = ( - 0.123 / 4.1 ) x 100 = - 3.00 %

b ---- c = ( - 0.106 / 5.4 ) x 100 = - 1.962 %

c ---- d = ( 0.238 / 0.5 ) x 100 = 47.60 %

P5 ---- a = ( - 0.076 / 1.5 ) x 100 = - 5.066 %

a ---- b = ( - 0.087 / 1.0 ) x 100 = - 18.7 %

b ---- c = ( - 0.016 / 0.5 ) x 100 = - 3.20 %

P5 ---- d = ( 0.158 / 4.7 ) x 100 = 3.361 %

P6 ---- a = ( - 0.054 / 1.5 ) x 100 = - 3.60 %

a ---- b = ( - 0.187 / 0.5 ) x 100 = - 37.40 %

b ---- c = ( - 0.016 / 6.0 ) x 100 = - 0.262 %

c ---- d = ( 0.437 / 0.5 ) x 100 = 87.40 %

P6 ---- e = ( - 0.005 / 2.0 ) x 100 = - 0.250 %

e ---- f = ( 0.626 / 0.8 ) x 100 = 78.25 %

P7 ---- a = ( - 0.180 / 2.0 ) x 100 = - 9.00 %

a ---- b = ( - 0.287 / 0.8 ) x 100 = - 35.875 %

b ---- c = ( 0.164 / 7.5 ) x 100 = 2.186 %

c ---- d = ( 0.278 / 5.4 ) x 100 = 5.148 %

P7 ---- e = ( 0.058 / 1.5 ) x 100 = 3.866 %

P8 ---- a = ( - 0.265 / 1.9 ) x 100 = - 13.947 %

a ---- b = ( - 0.030 / 0.5 ) x 100 = - 6.000 %

P8 ---- c = ( - 0.185 / 5.9 ) x 100 = - 3.135 %

c ---- d = ( - 0.150 / 0.5 ) x 100 = - 30.00 %

d ---- e = ( 0.155 / 0.7 ) x 100 = 22.142 %

e ---- f = ( 0.038 / 1.0 ) x 100 = 3.80 %

f ---- g = ( 0.227 / 0.5 ) x 100 = 45.40 %

P9 ---- a = ( - 0.100 / 7.0 ) x 100 = - 1.428 %

a ---- b = ( - 0.134 / 0.5 ) x 100 = - 26.80 %

b ---- c = ( 0.129 / 0.4 ) x 100 = 32.25 %

c ---- d = ( 0.452 / 0.6 ) x 100 = 56.50 %

P9 ---- e = ( - 0.135 / 4.0 ) x 100 = - 3.375 %

e ---- f = ( - 0.148 / 0.5 ) x 100 = - 29.60 %

f ---- g = ( 0.340 / 0.6 ) x 100 = 56.66 %

P10 ---- a = ( - 0.065 / 6.0 ) x 100 = - 1.083 %

a ---- b = ( - 0.116 / 0.5 ) x 100 = - 23.20 %

b ---- c = ( 0.145 / 0.4 ) x 100 = 36.25 %

c ---- d = ( 0.483 / 0.8 ) x 100 = 60.375 %

P10 ---- e = ( - 0.089 / 2.6 ) x 100 = - 3.423 %

e ---- f = ( - 0.105 / 0.6 ) x 100 = - 17.50 %

f ---- g = ( 0.138 / 0.4 ) x 100 = 34.50 %

g ---- h = ( 0.192 / 0.6 ) x 100 = 32.00 %

P11 ---- a = ( - 0.183 / 7.0 ) x 100 = - 2. 614 %

P11 ---- b = ( - 0.023 / 2.0 ) x 100 = - 1.150 %

PERHITUNGAN VOLUME GALIAN DAN TIMBUNAN

Rumus :

· Trapesium = a + b . L

2

· Segitiga = ½ a . b

· Persegi = a . b

A. DETAIL Po

Galian

Po ---- a : (0.581 + 0.325 ) / 2 x 1,0 = 0.454 m2

a ---- b : (0.258 x 0,5) = 0.129 m2

b ---- c : (0.297 x 5,5) = 1.6335 m2

c ---- d : (0.297 + 0.462 ) / 2 x 0,5 = 0.18975 m2

Po ---- e : (0.581 + 0.189 ) / 2 x 1,0 = 0.385 m2

e ---- f : (0.189 + 0.403 ) / 2 x 0,5 = 0.148 m2

f ---- g : (0.403 + 0.182 ) / 2 x 6,6 = 1.9305 m2

g ---- h : (0.182 + 0.387 ) / 2 x 05 = 0.14225m2

B. DETAIL P1

Galian

P1 ---- a : (0.487 + 0.411 ) / 2 x 1,5 = 0.6735 m2

a ---- b : (0.411 + 0.203 ) / 2 x 0,5 = 0.1535 m2

b ---- c : (0.203 + 0.273 ) / 2 x 8,0 = 1.904 m2

c ---- d : (0.273 + 0.2532) / 2 x 0,5 = 0.20725 m2

P1 ---- e : (0.487 + 0.421 ) / 2 x 1,0 = 0.4545 m2

e ---- f : (0.421 + 0.229 ) / 2 x 0,5 = 0.1625 m2

f ---- g : (0.229 + 0.265 ) / 2 x 7,8 = 1.9266 m2

g ---- h : (0.265 x 0,5) = 0.1325 m2

C. DETAIL P2

Galian

P2 ---- a : (0.467 + 0.227 ) / 2 x 2,0 = 0.694 m2

a ---- b : ½ x 0.227 x 0.5 = 0.05675m2

c ---- d : (0.117 + 0.332 ) / 2 x 0,5 = 0.11225 m2

P2 ---- e : (0.467 + 0.229 ) / 2 x 2 = 0.696 m2

e ---- f : (0.229 x 0.5 =0.1145 m2

f ---- g : ½ x 0.229 x 5.7 = 0.65265 m2

g ---- h : ½ x 0.302 x 0.5 = 0.0755 m2

Timbunan

b ---- c : ½ x 0.117 x 7.6 = 0.446 m2

D. DETAIL P3

Galian

b ---- c : (0.106 x 0,7) = 0.0742 m2

c ---- d : (0.1006 x 3,0) = 0.318 m2

Timbunan

P3 ---- a : (0.08 x 3.7) = 0.296 m2

P3 ---- e : (0.08 + 0.163 ) / 2 x 2,0 = 0.243 m2

a ---- b : ½ x 0.113 x 0.5 = 0.02825 m2

e ---- f : ½ x 0.111 x 0.5 = 0.0277 m2

E. DETAIL P4

Galian

P4 ---- a : ½ x 0.3 x 8.5 = 1.275 m2

Timbunan

P4 ---- b : (0.088 + 0.423 ) / 2 x 4,1 = 1.04755m2

b ---- c : (0.423 + 0.529 ) / 2 x 5.4 = 2.5704 m2

c ---- d : ½ x 0.291 x 0.5 = 0.07275 m2

F. DETAIL P5

Timbunan

P5 ---- d : ½ x 0.066 x 0.20 = 0.006 m2

P5 ---- a : 0.045 x 1.5 = 0.0675 m2

a ---- b : (0.045 + 0.232 ) / 2 x 1.0 = 0.1385 m2

b ---- c : (0.232 x 0.5 = 0.116 m2

P5 ---- d : (0.045 + 0.09 ) / 2 x 4.7 = 0.31725m2

G. DETAIL P6

Timbunan

P6 ---- a : (0.019 + 0.073) / 2 x 1.5 = 0.069 m2

a ---- b : (0.073 + 0.26) / 2 x 0.5 = 0.08325 m2

b ---- c : (0.26 x 6.0) = 1.56 m2

P6 ---- c : 0.024 x 2.0 = 0.048 m2

Galian

c ---- d : ½ x 0.161 x 0.5 = 0.04025 m2

e ---- f : ½ x 0.602 x 0.8 = 0.2408 m2

H. DETAIL P7

Galian

P7 ---- e : 0.139 x 1.5 = 0.2085 m2

Timbunan

P7 ---- a : ½ x 0.081 x 2.0 = 0.081 m2

a ---- b : (0.099 + 0.386 ) / 2 x 0.8 = 0.194 m2

b ---- c : (0.386 + 0.222 ) / 2 x 7.50 = 2.28 m2

c ---- d : ½ x 0.056 x 5.4 = 0.1512 m2

I. DETAIL P8

Galian

P8 ---- a : (0.428 + 0.163) / 2 x 1.9 = 1.03645 m2

a ---- b : (0.163 + 0.133 ) / 2 x 0.5 = 0.074 m2

P8 ---- c : (0.928 + 0.243 ) / 2 x 5.9 = 3.45445 m2

c ---- d : (0.243 + 0.093) / 2 x 0.5 = 0.084 m2

d-----e : (0.093 + 0.248) / 2 x 0.7 = 0.11935 m2

e -----f : (0.248 + 0.286) / 2 x 1.0 = 0.267 m2

f -----g : (0.286 + 0.513) / 2 x 0.5 = 0.19975 m2

J. DETAIL P9

Galian

P9---- a : (0.396 + 0.296) / 2 x 7.0 = 2.422 m2

a ---- b : (0.296 + 0.162) / 2 x 0.5 = 0.1145m2

b ---- c : (0.162 + 0.291) / 2 x 0.4 = 0.0906m2

c ---- d : (0.291 + 0.743) / 2 x 0.6 = 0.3102 m2

P9 ---- e : (0.396 + 0.261) / 2 x 4.0 = 1.314 m2

e ---- f : (0.261 + 0.113) / 2 x 0.5 = 0.0935m2

f ---- g : (0.113 + 0.453) / 2 x 0.6 = 0.1698m2

K. DETAIL P10

Galian

P10 ---- a : (0.326 + 0.261) / 2 x 6.0 = 1.761 m2

a ---- b : (0.261 + 0.145) / 2 x 0.5 = 0.1015 m2

b ---- c : (0.145 + 0.29 ) / 2 x 0.4 = 0.087 m2

c ---- d : (0.29 + 0.773) / 2 x 0.8 = 0.4252 m2

P10 ----e : (0.326 + 0.237) / 2 x 2.6 = 0.7319 m2

e ---- f : (0.237 + 0.132) / 2 x 0.6 = 0.09225m2

f ---- g : (0.132 + 0.27 ) / 2 x 0.4 = 0.0804 m2

g ---- h : (0.27 + 0.462 ) / 2 x 0.6 = 0.2196 m2

L. DETAIL P11

Galian

P11---- a : (0.581 + 0.3987) / 2 x 7.0 = 3.4265 m2

P11 ---- b : (0.581+ 0.375 ) / 2 x 2.0 = 0.956 m2

PERHITUNGAN VOLUME RATA-RATA GALIAN DAN TIMBUNAN

RUMUS : LUAS x ( ½ JARAK MUKA + ½ JARAK BELAKANG )

A. Detail Po

Volume galian = 3.310 x 25.00 = 82.750 m3

B. Detail P1

Volume galian = 3.789 x (25.0 + 23.5) = 183.766 m3

C. Detail P2

Volume timbunan = 0.744 x (23.5 + 25.0) = 36.084 m3

Volume galian = 1.135 x (23.5 + 25.0) = 55.047 m3

D. Detail P3

Volume timbunan = 1.273 x (25.0 + 25.0) = 63.650 m3

Volume galian = 0.022 x (25.0 + 25.0) = 1.100 m3

E. Detail P4

Volume timbunan = 6.160 x (25.0 + 25.0) = 308.000 m3

F. Detail P5

Volume galian = 0.140 x (25.0 + 13.75) = 5.425 m3

Volume timbunan = 0.655 x (25.0 + 13.75) = 25.381 m3

G. Detail P6

Volume galian = 0.151 x (13.75 + 22.5) = 36.250 m3

Volume timbunan = 2.908 x (13.75 + 22.5) = 105.415 m3

H. Detail P7

Volume galian = 0.013 x (22.5 + 29.0) = 0.669 m3

Volume timbunan = 4.427 x (22.5 + 29.0) = 227.991 m3

I. Detail P8

Volume galian = 2.140 x (29.0 + 25.0) = 115.560 m3

Volume timbunan = 0.002 x (29.0 + 25.0) = 0.108 m3

J. Detail P9

Volume galian = 3.140 x (26.0 + 25.5) = 160.140 m3

K. Detail P10

Volume galian = 2.303 x (26.0 + 25.5) = 118.605 m3

L. Detail P11

Volume galian = 3.647 x (25.5) = 92.999 m3

VOLUME TOTAL

Galian = Po – P11 = 852.311 m3

Timbunan = Po – P11 = 766.629 m3

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