Timbunan Dan Galian
17
“Survey Dan Pemetaan” Grup X Kelompok 5 8.1.5 Menghitung Luas Penampang Timbunan dan Galian a. Luas Penampang Galian Patok P0 NO TITIK X Y XnYn+1 Xn+1Yn 1 A 0.00 909.426 0.000 3092.04 8 2 B 3.40 909.647 3094.000 7641.03 5 3 C 8.40 910.000 7644.470 9464.00 0 4 D 10.40 910.056 9468.472 12194.7 50 5 E 13.40 910.430 12208.96 8 16751.9 12 6 F 18.40 911.117 16707.93 6 16400.1 06 7 G 18.00 908.040 16343.28 0 14528.6 40 8 H 16.00 907.960 14511.36 0 13982.5 84 9 I 15.40 906.960 13967.18 4 13604.4 00 10 J 15.00 906.960 13619.40 0 13060.2 24 11 K 14.40 907.960 13075.20 0 12166.6 64 12 L 13.40 908.000 12167.87 0 9988.00 0 13 M 11.00 908.050 9988.000 7627.62 0 14 N 8.40 908.000 7626.864 6719.20 0 15 O 7.40 907.960 6711.504 6355.72 0 16 P 7.00 906.960 6348.720 5804.54 4 17 Q 6.40 906.960 5810.944 7618.46 4 18 R 8.40 907.960 7627.536 3087.06 4 19 S 3.40 908.040 3092.048 0.000
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survey dan pemetaan
Transcript of Timbunan Dan Galian
“Survey Dan Pemetaan”
Grup X Kelompok 5
8.1.5 Menghitung Luas Penampang Timbunan dan Galian
a. Luas Penampang Galian Patok P0NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 909.426 0.000 3092.0482 B 3.40 909.647 3094.000 7641.0353 C 8.40 910.000 7644.470 9464.0004 D 10.40 910.056 9468.472 12194.7505 E 13.40 910.430 12208.968 16751.9126 F 18.40 911.117 16707.936 16400.1067 G 18.00 908.040 16343.280 14528.6408 H 16.00 907.960 14511.360 13982.5849 I 15.40 906.960 13967.184 13604.400
10 J 15.00 906.960 13619.400 13060.22411 K 14.40 907.960 13075.200 12166.66412 L 13.40 908.000 12167.870 9988.00013 M 11.00 908.050 9988.000 7627.62014 N 8.40 908.000 7626.864 6719.20015 O 7.40 907.960 6711.504 6355.72016 P 7.00 906.960 6348.720 5804.54417 Q 6.40 906.960 5810.944 7618.46418 R 8.40 907.960 7627.536 3087.06419 S 3.40 908.040 3092.048 0.00020 A 0 909.426 0.000 0.000
Jumlah total 180013.8 180087.0
L = Σ XnYn+1 - Σ Xn+1Yn2
= 180086.976 - 180013.7572
= 36.610 m²
b. Luas Penampang Galian dan Timbunan Patok P1
Galian 1NO Titik X Y XnYn+1 Xn+1Yn1 A 0 906.748 0 1088.12 B 1.2 906.650 1087.152 815.9853 C 0.9 905.960 815.364 362.3844 D 0.4 905.960 362.6992 05 A 0 906.748 0 0
Jumlah total 2265.2 2266.5
L = Σ Xn+1Yn - Σ XnYn+1
“Survey Dan Pemetaan”
Grup X Kelompok 5
2
= 2266.467 - 2265.2152
= 0.626 m²
Galian 2NO Titik X Y XnYn+1 Xn+1Yn1 A 0 906.018 0 271.8052 B 0.3 905.962 271.788 27.17893 C 0.03 905.96 27.18054 04 A 0 906.018 0 0
Jumlah total 299.0 299.0
L = Σ Xn+1Yn - Σ XnYn+12
= 298.984 - 298.9692
= 0.008 m²
Timbunan 1NO Titik X Y XnYn+1 Xn+1Yn1 A 0.00 907.262 0.00 6804.472 B 7.50 906.960 6800.61 6892.903 C 7.60 906.748 6892.85 4533.744 D 5.00 906.954 4535.79 90.705 E 0.10 907.158 90.73 0.006 A 0.00 907.262 0.00 0.00
Jumlah total 18320.0 18321.8
L = Σ Xn+1Yn - Σ XnYn+12
= 18321.796 - 18319.9772
= 0.910 m²
Timbunan 2
“Survey Dan Pemetaan”
Grup X Kelompok 5
NO Titik X Y XnYn+1 Xn+1Yn1 A 0.00 906.650 0 181.332 B 0.20 906.960 181.4 1088.3523 C 1.20 907.000 1088.46 3355.94 D 3.70 907.050 3355.9 5623.715 E 6.20 907.000 5623.152 6530.46 F 7.20 906.960 6523.3296 6892.8967 G 7.60 906.018 6889.6584 5979.71888 H 6.60 906.534 5983.4148 2719.6029 I 3.00 906.578 2719.692 1087.8936
10 J 1.20 906.564 1087.98 011 A 0.00 906.650 0 0
Jumlah Total 33453.0 33459.8
L = Σ Xn+1Yn - Σ XnYn+12
= 33459.802 - 33452.9872
= 3.408 m²
Timbunan 3NO Titik X Y XnYn+1 Xn+1Yn1 A 0.00 905.960 0.00 634.172 B 0.70 906.950 634.90 1451.123 C 1.60 906.999 1449.07 1451.204 D 1.60 905.671 1449.54 0.005 A 0.00 905.960 0.00 0.00
Jumlah total 3533.5 3536.5
L = Σ Xn+1Yn - Σ XnYn+12
= 3536.490 - 3533.5092
= 1.491 m²
Jumlah Luas Galian L= L1 + L2 = 0.634 m2
Jumlah Luas Timbunan
“Survey Dan Pemetaan”
Grup X Kelompok 5
L = L1 + L2 + L3 = 5.808 m2
c. Luas Penampang Galian dan Timbunan Patok P2
Galian 1NO TITIK X Y XnYn+1 Xn+1Yn
1 A 0.00 905.670 0.000 452.835
2 B 0.50 904.960 452.480 904.960
3 C 1.00 904.960 905.717 1357.440
4 D 1.50 905.717 1358.505 0.000
5 A 0.00 905.670 0.000 0.000
Jumlah total 2716.7 2715.2
L = Σ XnYn+1 - Σ Xn+1Yn2
= 2716.702 - 2715.235
2
= 0.734 m²
Galian 2NO TITIK X Y XnYn+1 Xn+1Yn
1 A 0.00 905.840 0.000 1268.176
2 B 1.40 905.890 1266.944 815.301
3 C 0.90 904.960 814.464 361.984
4 D 0.40 904.960 362.336 0.000
5 A 0.00 905.840 0.000 0.000
Jumlah total 2443.7 2445.5
L = Σ Xn+1Yn - Σ XnYn+12
= 2445.461 - 2443.744
2
= 0.859 m²Timbunan 1
NO TITIK X Y XnYn+1 Xn+1Yn
1 A 0.00 906.301 0.000 6797.258
2 B 7.50 905.960 6792.533 6975.892
“Survey Dan Pemetaan”
Grup X Kelompok 5
3 C 7.70 905.671 6972.889 4528.355
4 D 5.00 905.570 4527.300 724.456
5 E 0.80 905.460 725.041 0.000
6 A 0.00 906.301 0.000 0.000
Jumlah total 19017.8 19026.0
L = Σ Xn+1Yn - Σ XnYn+12
= 19025.961 - 19017.762
2
= 4.099 m²
Timbunan 2NO TITIK X Y XnYn+1 Xn+1Yn
1 A 0.000 905.960 0.000 905.960
2 B 1.000 906.000 906.050 3171.000
3 C 3.500 906.050 3171.000 5436.300
4 D 6.000 906.000 5435.760 6342.000
5 E 7.000 905.960 6340.880 6432.316
5 F 7.100 905.840 6431.180 5435.040
6 G 6.000 905.800 5434.590 905.800
7 H 1.000 905.765 905.716 90.577
8 I 0.100 905.716 90.596 0.000
9 A 0.000 905.960 0.000 0.000
Jumlah total 28715.8 28719.0
Σ Xn+1Yn - Σ XnYn+12
= 28718.993 - 28715.772
2
= 1.610 m² Timbunan 3
NO TITIK X Y XnYn+1 Xn+1Yn
1 A 0.00 905.960 0.000 2264.900
2 B 2.50 906.099 2264.955 2265.248
3 C 2.50 905.982 2264.725 90.598
“Survey Dan Pemetaan”
Grup X Kelompok 5
4 D 0.10 905.890 90.596 0.000
5 A 0.00 905.960 0.000 0.000
Jumlah total 4620.3 4620.7
L = Σ Xn+1Yn - Σ XnYn+12
= 4620.746 - 4620.276
2
= 0.235 m²
Jumlah Luas Galian L= L1 + L2 = 1.592 m2
Jumlah Luas TimbunanL = L1 + L2 + L3 = 5.944 m2
d. Luas Penampang Galian dan Timbunan Patok P3
Galian 1NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 904.570 0.000 995.0272 B 1.10 904.534 994.356 723.6273 C 0.80 903.960 723.168 271.1884 D 0.30 903.960 271.371 0.0005 A 0.00 904.570 0.000 0.000
Jumlah total 1988.9 1989.8
L = Σ Xn+1Yn - Σ XnYn+12
= 1989.842 - 1988.8952
= 0.474 m²
Galian 2NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 904.471 0.000 904.4712 B 1.00 904.465 903.960 723.5723 C 0.80 903.960 723.168 271.1884 D 0.30 903.960 271.341 0.0005 A 0.00 904.471 0.000 0.000
“Survey Dan Pemetaan”
Grup X Kelompok 5
Jumlah total 1898.5 1899.2
L = Σ Xn+1Yn - Σ XnYn+12
= 1899.231 - 1898.4692
= 0.381 m²
Timbunan 1NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 904.980 0.000 452.4902 B 0.50 904.960 452.285 633.4723 C 0.70 904.570 633.214 361.8284 D 0.4 904.592 361.992 0.0005 A 0.00 904.980 0.000 0.000
Jumlah total 1447.5 1447.8
L = Σ Xn+1Yn Σ Xn+1Yn 2
= 1447.790 - 1447.4912
= 0.149 m²
Timbunan 2NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 904.960 0.00 904.962 B 1.00 905.000 905.05 3167.503 C 3.50 905.050 3167.50 5430.304 D 6.00 905.000 5429.76 6335.005 E 7.00 904.960 6331.30 6606.216 F 7.30 904.471 6602.69 5426.837 G 6.00 904.478 5426.97 904.488 H 1.00 904.495 904.53 180.909 I 0.20 904.534 180.99 0.00
10 A 0.00 904.960 0.00 0.00Jumlah total 28948.8 28956.2
Σ Xn+1Yn - Σ XnYn+1L = 2
28956.171 - 28948.792= 2
3.689 m²
Timbunan 3NO TITIK X Y XnYn+1 Xn+1Yn
“Survey Dan Pemetaan”
Grup X Kelompok 5
1 A 0.00 904.960 0.000 2262.4002 B 2.50 905.060 2261.125 2262.6503 C 2.50 904.450 2261.163 180.8904 D 0.20 904.465 180.992 0.0005 A 0.00 904.960 0.000 0.000
Jumlah total 4703.3 4705.9
L = Σ Xn+1Yn - Σ XnYn+12
= 4705.940 - 4703.2802
= 1.330 m²
Jumlah Luas Galian L= L1 + L2 = 0.854 m2
Jumlah Luas TimbunanL = L1 + L2 + L3 = 5.169 m2
e. Luas Penampang Galian dan Timbunan Patok P4
Galian 1NO TITIK X Y XnYn+1 Xn+1Yn1 A 0 903.172 0 271.34132 B 0.7 903.174 271.188 723.1683 C 0.6 902.960 723.572 903.964 D 0.1 902.960 904.471 05 A 0 903.172 0 0
Jumlah total 1899.2 1898.5
L = Σ XnYn+1 - Σ Xn+1Yn2
= 1899.231 - 1898.4692
= 0.381 m²Timbunan 1
NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 904.040 0.000 6780.3002 B 7.50 903.960 6773.790 7141.2843 C 7.90 903.172 7134.996 4515.8604 D 5.00 903.164 4515.720 993.4805 E 1.10 903.144 994.444 0.0006 A 0.00 904.040 0.000 0.000
“Survey Dan Pemetaan”
Grup X Kelompok 5
Jumlah Total 19430.9 19418.9
L = Σ Xn+1Yn - Σ XnYn+12
= 19430.924 - 19418.9502
= 6,102 m²
Timbunan 2NO TITIK X Y XnYn+1 Xn1 A 0.0 903.960 0 903.962 B 1.0 904.000 904.05 31643 C 3.5 904.050 3164 5424.34 D 6.0 904.000 5423.76 63285 E 7.0 903.960 6320.72 6779.76 F 7.5 902.960 6772.2 7223.687 G 8.0 902.960 7231.68 7675.168 H 8.5 903.960 7684.1275 9943.569 I 11.0 904.015 9929.018 9944.165
10 J 11.0 902.638 9932.571 5415.82811 K 6.0 902.961 5419.416 2708.88312 L 3.0 903.236 2709.534 903.23613 M 1.0 903.178 903.174 361.271214 N 0.4 903.174 361.584 015 A 0.0 903.960 0 0
Jumlah total 190382.9 190361.142
L = Σ XnYn+1 - Σ Xn+1Yn 2
= 190382.908 - 190361.1422
= 10.883 m²
Jumlah Luas TimbunanL = L1 + L2 = 6.368 m2
f. Luas Penampang Galian dan Timbunan Patok P5NO TITIK X Y XnYn+1 Xn=1Yn1 A 0.00 903.039 0.00 2257.602 B 2.50 902.960 2254.90 2708.883 C 3.00 901.960 2705.88 3156.864 D 3.50 901.960 3160.36 3607.845 E 4.00 902.960 3612.00 4514.80
“Survey Dan Pemetaan”
Grup X Kelompok 5
6 F 5.00 903.000 4515.25 6772.507 G 7.50 903.050 6772.50 9030.508 H 10.0 903.000 9029.60 9933.009 I 11.00 902.960 9921.56 10384.04
10 J 11.50 901.960 10372.54 10823.5211 K 12.00 901.960 10835.52 11274.5012 L 12.50 902.960 11288.65 14266.7713 M 15.80 903.092 14251.60 14268.8514 N 15.80 902.000 14250.49 9020.0015 O 10.00 901.930 9018.75 4509.6516 P 5.00 901.875 4508.73 1172.4417 Q 1.30 901.745 1173.95 0.0018 A 0.00 903.039 0.00 0.00
Jumlah total 117672.3 117701.7
L = Σ XnYn+1 - Σ Xn+1Yn2
= 117701.747 - 117672.2802
= 14.733 m²
g. Luas Penampang Galian dan Timbunan Patok P6
Galian 1NO TITIK X Y XnYn+1 Xn+1Yn1 A 0,00 901,150 0,000 90,1152 B 0,10 900,960 90,096 540,5763 C 0,60 900,960 540,678 630,6724 D 0,70 901,130 630,805 0,0005 A 0,00 901,150 0,000 0,000
Jumlah total 1261,579 1261,363
L =
Σ Xn Yn +1- Σ Xn+1Yn
2= 1261,579 - 1261,363
2= 0,108 m²
Galian 2NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 901.357 0.000 901.3572 B 1.00 901.539 900.960 631.0773 C 0.70 900.960 630.672 180.192
“Survey Dan Pemetaan”
Grup X Kelompok 5
4 D 0.20 900.960 180.271 0.0005 A 0.00 901.357 0.000 0.000
Jumlah total 1711.9 1712.6
L = Σ Xn+1Yn - Σ XnYn+12
= 1712.626 - 1711.9032
= 0.361 m²
Timbunan 1NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 902.260 0.000 6766.9502 B 7.50 901.960 6758.633 7125.4843 C 7.90 901.151 7120.736 4505.7554 D 5.00 901.359 4505.650 991.4955 E 1.10 901.130 991.386 0.0006 A 0.00 901.260 0.000 0.000
Jumlah total 19376.4 19389.7
L = Σ Xn+1Yn - Σ XnYn+12
= 19389.684 - 19376.4052
= 6.640 m²
Timbunan 2NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 901.960 0.000 901.9602 B 1.00 902.000 902.050 3157.0003 C 3.50 902.050 3157.000 5412.3004 D 6.00 902.000 5411.760 6314.0005 E 7.00 901.960 6309.499 6584.3086 F 7.30 901.357 6579.227 6129.2287 G 6.80 901.264 6127.684 2343.2868 H 2.60 901.130 2343.016 901.1309 I 1.00 901.160 901.103 360.464
10 J 0.40 901.103 360.784 0.000
“Survey Dan Pemetaan”
Grup X Kelompok 5
11 K 0.00 901.960 0.000 0.000Jumlah total 32092.1 32103.7
L = Σ Xn+1Yn - Σ XnYn+12
= 32103.676 - 32092.1232
= 5.776 m²
Timbunan 3NO TITIK X Y XnYn+1 Xn+1Yn1 A 0.00 901.960 0.000 2254.9002 B 2.50 902.040 2253.848 180.4083 C 0.20 901.539 180.392 0.0004 D 0.00 901.960 0.000 0.000
Jumlah total 2434.2 2435.3
L = Σ Xn+1Yn - Σ XnYn+12
= 2435.308 - 2434.2402
= 0.534 m²
Jumlah Luas Galian L= L1 + L2 = 0.461 m2
Jumlah Luas TimbunanL = L1 + L2 + L3 = 12.950 m2
8.1.6 Menghitung Volume Galian dan timbunan
PATOKLUAS LUAS RATA-RATA
JARAK (m)
VOLUME
GALIAN (m2)
TIMBUNAN (m2) GALIAN
(m2)TIMBUNAN
(m2)GALIAN
(m3)TIMBUNAN
(m3)
P0 36.610 0.00018.622 2.904 25.000 465.538 72.606
P1 0.634 5.8081.113 5.876 25.000 27.820 146.908
P2 1.592 5.9441.223 5.557 25.000 30.581 138.913
P3 0.854 5.1690.618 5.769 25.000 15.441 144.214
“Survey Dan Pemetaan”
Grup X Kelompok 5
P4 0.381 6.3680.190 10.551 25.000 4.761 263.771
P5 0.000 14.7330.231 13.842 25.000 5.767 346.047
P6 0.461 12.950JUMLAH 150.000 549.907 1112.459
