contoh perhitungan situasi timbunan (perpetaan)

Pengukuran Poligon

Inst Ti Alat Titik ArahSudut Horizontal Sudut Dalam Sudut Vertikal

° ' '' ° ' '' ° '

BM1 1.35

BM8 47 26 0 89 59

P1 131 59 0 84 33 0 89 59

P1 1.28

BM1 315 24 40 89 58

P2 40 37 0 85 12 20 90 3

P2 1.3

P1 214 57 0 89 58

P3 46 37 0 191 40 0 89 59

P3 1.3

P2 225 4 0 89 58

P4 35 34 20 170 30 20 89 59

P4 1.4

P3 217 38 0 89 47

P5 45 8 10 187 30 10 90 0

P5 1.5

P4 228 29 0 89 59

P6 44 43 20 176 14 20 89 57

P6 1.63

P5 222 41 40 89 59

P7 314 18 0 91 36 20 89 59

P7 1.6

P6 129 35 20 90 1

P8 226 54 20 97 19 0 89 54

P8 1.44

P7 50 37 0 89 30

BM8

P8 1.44

BM8 218 6 0 167 29 0 89 30

BM8 1.45

P8 36 33 20 89 47

BM1 228 59 0 192 25 40 89 47

Pengukuran Poligon

Sudut VertikalBA BT BB

Jarak Beda TinggiKor

Elevasi'' Miring Datar (∆H) (Z)

0 1.44 75.999 2.127

0 1.775 39.799 -0.413 1.707

0 1.127 39.999

20 1.399 36.799 -0.155 1.545

0 1.494 36.999

40 1.365 56.199 -0.060 1.479

0 1.543 56.199

40 1.445 43.399 -0.141 1.331

40 1.53 42.999

20 1.475 32.799 -0.078 1.246

0 1.546 33.199

0 1.564 45.999 -0.024 1.215

40 1.576 45.999

0 1.571 35.999 0.069 1.278

20 1.622 36.799

20 1.051 61.999 0.651 1.922

20 2.076 61.799

40 1.98 79.999 0.143 2.058

20 1.675 79.599

0 1.663 76.399 0.076 2.127

∑ 0.06871677042 0.006871677 0

Hitungan Poligon

No titik Sudut HorizontalKor

Azimuth (α) Jarak D. Sin α° ' '' (D) (∆X)

BM812 3 55.47

BM184 33 0 0.4503 276 9 54.47 39.7999 -39.56972

P185 12 20 0.4503 180 55 13.4 36.7999 -0.591121

P2191 40 0 0.4503 192 8 12.47 56.1990 -11.81564

P3170 30 20 0.4503 182 11 31.4 43.3990 -1.659979

P4187 30 10 0.4503 189 14 40.4 32.7990 -5.269119

P5176 14 20 0.4503 185 1 59.4 45.9999 -4.035681

P691 36 20 0.4503 96 11 18.4 35.9999 35.79012

P797 19 0 0.4503 13 3 17.4 61.9999 14.00475

P8167 29 0 0.4503 0 5 16.4 79.9999 0.122716

BM8192 25 40 0.4503 12 3 55.4 76.3999 15.96971

BM1∑ 509.3963 2.9460

Hitungan Poligon

Koreksi D. Cos α Koreksi Koordinat(fx) (∆Y) (fy) X Y

231347.845 9635304.402

0.230178 4.368316 0.175562 231308.0451 9635308.595

0.212828 -36.7948 0.162329 231307.2412 9635271.638

0.32502 -54.93643 0.247901 231295.1005 9635216.453

0.250993 -43.36493 0.191438 231293.1895 9635172.897

0.189689 -32.36366 0.144681 231287.7307 9635140.389

0.266035 -45.81191 0.202911 231283.429 9635094.374

0.208201 -3.909481 0.1588 231319.0109 9635090.305

0.358569 60.38682 0.273489 231332.6571 9635150.419

0.46267 79.9997 0.35289 231332.3171 9635230.066

0.44185 74.67338 0.33701 231347.845 9635304.402

2.2470

Pengukuran Poligon

No titik Titik Arah BA BT BB Miring DatarVertikel

° ' ''

Pengukuran Poligon

HorizontalBeda Tinggi Elevasi ket° ' ''

No Tinggi Alat No Titik Horizontal Vertikel BA BT BBSudut Dalam Azimuth Awal Azimuth Berikut Jarak datar

(Azbs-180)1

1.5

BM1 306.3 89.967 1.407 1.205 1.0052 1A 291.955 89.928 1.984 1.974 1.964 345.655 192.065 357.720 1.9999973 1B 306.683 89.956 1.508 1.452 1.396 0.383 192.065 12.448 11.1999934 1C 308.006 89.95 1.792 1.691 1.590 1.706 192.065 13.771 20.1999855 1D 308.389 89.95 1.269 1.121 0.973 2.089 192.065 14.154 29.5999776 1E 29.611 89.944 2.400 2.301 2.202 83.311 192.065 95.376 19.7999817 1F 11.917 90.006 2.134 2.026 1.918 65.617 192.065 77.682 21.6000008 1G 353.033 90.006 2.124 1.990 1.856 46.733 192.065 58.798 26.8000009 1H 341.661 90.022 1.353 1.177 1.001 35.361 192.065 47.426 35.199995

No Titik Azimuth X Y ZBM1 12.0654 231347.845 9635304.402 2.127P1 276.1651 231308.045 9635308.595 1.707P2 180.9204 231307.241 9635271.638 1.545P3 192.1368 231295.100 9635216.453 1.479P4 182.1921 231293.190 9635172.897 1.331P5 189.2446 231287.731 9635140.389 1.246P6 185.0332 231283.429 9635094.374 1.215P7 96.1884 231319.011 9635090.305 1.278P8 13.0548 231332.657 9635150.419 1.922

BM8 0.0879 231332.317 9635230.066 2.058

βFs-βBs (AZa + βsd)-180 ((BA-BT)x200)(SIN² V)

ΔX ΔY X Y ΔH Zdd x SIN(AZb) dd x COS(AZb)

-0.080 1.998 231307.966 9635310.593 -0.471 1.2352.414 10.937 231310.459 9635319.531 0.057 1.7634.809 19.619 231312.854 9635328.214 -0.173 1.5337.238 28.701 231315.283 9635337.296 0.405 2.11219.713 -1.855 231327.758 9635306.740 -0.782 0.92521.103 4.608 231329.148 9635313.203 -0.528 1.17822.923 13.884 231330.968 9635322.479 -0.493 1.21425.922 23.814 231333.967 9635332.409 0.309 2.016

Xalat ± ΔX Yalat ± ΔY (Ti - BTfs)+(ddx1/TAN V ) Zalat ± ΔH

No Tinggi Alat No Titik Horizontal Vertikel BA BT BBSudut Dalam

1

1.62

P1 217.033 89.994 1.785 1.603 1.4152 2A 30.322 89.95 2.100 2.081 2.074 173.2893 2B 327.428 89.944 2.405 2.354 2.305 110.3954 2C 319.667 89.944 2.150 2.055 1.965 102.6345 2D 318.283 89.944 2.235 2.110 1.985 101.256 2E 44.967 89.978 1.875 1.765 1.650 187.9347 2F 20.394 89.978 2.205 2.085 1.970 163.3618 2G 2.4 89.978 2.010 1.870 1.730 145.3679 2H 351.167 89.978 2.075 1.905 1.730 134.134


BM8 0.0879 231332.317 9635230.066 2.058

βFs-βBs

Azimuth Awal Azimuth Berikut Jarak datar ΔX ΔY(Azbs-180) dd x SIN(AZb) dd x COS(AZb)

96.165 89.454 3.799997 3.800 0.03696.165 26.560 10.199990 4.561 9.12496.165 18.799 18.999982 6.123 17.98696.165 17.415 24.999976 7.482 23.85496.165 104.099 21.999997 21.337 -5.35996.165 79.526 23.999996 23.600 4.36396.165 61.532 27.999996 24.614 13.34796.165 50.299 33.999995 26.159 21.718

(AZa + βsd)-180 ((BA-BT)x200)(SIN² V)

X Y ΔH Z

231311.041 9635271.674 -0.458 1.087231311.802 9635280.761 -0.724 0.821231313.364 9635289.624 -0.416 1.129231314.723 9635295.492 -0.466 1.080231328.578 9635266.278 -0.137 1.409231330.841 9635276.001 -0.456 1.089231331.856 9635284.984 -0.239 1.306231333.400 9635293.356 -0.272 1.273


No Tinggi Alat No Titik Horizontal (H) Vertikal (V) BA BT BBSudut Dalam (sd) Azimuth Awal (AZa) Azimuth Berikut (AZb)

(Azbs-180)1

1.60

P2 231.728 89.939 1.900 1.620 1.3402 3A 245.483 89.911 2.095 2.015 1.935 13.755 0.92039 194.675393 3B 269.222 89.938 2.335 2.225 2.115 37.494 0.92039 218.414394 3C 281.566 89.938 2.425 2.280 2.135 49.838 0.92039 230.758395 3D 289.238 89.938 2.540 2.350 2.165 57.51 0.92039 238.430396 3E 356.277 90.011 2.080 2.040 2.000 124.549 0.92039 305.469397 3F 332.666 89.961 2.165 2.085 2.005 100.938 0.92039 281.858398 3G 325.433 89.966 2.245 2.120 2.000 93.705 0.92039 274.625399 3H 323.155 89.966 2.345 2.180 2.005 91.427 0.92039 272.34739


BM8 0.0879 231332.317 9635230.066 2.058

βFs-βBs (AZa + βsd)-180

Jarak datar (dd) ΔX ΔY X Y ΔH Zdd x SIN(AZb) dd x COS(AZb)

15.999961 -4.053 -15.478 231291.047 9635200.975 -0.390 1.08921.999974 -13.670 -17.238 231281.431 9635199.215 -0.601 0.87828.999966 -22.460 -18.345 231272.640 9635198.108 -0.649 0.83037.999956 -32.376 -19.894 231262.724 9635196.559 -0.709 0.7708.000000 -6.515 4.642 231288.585 9635221.095 -0.442 1.03715.999993 -15.659 3.288 231279.442 9635219.741 -0.474 1.00524.999991 -24.919 2.016 231270.182 9635218.469 -0.505 0.97432.999988 -32.972 1.352 231262.128 9635217.805 -0.560 0.918

((BA-BT)x200)(SIN² V) Xalat ± ΔX Yalat ± ΔY (Ti - BTfs)+(ddx1/TAN V ) Zalat ± ΔH

No Tinggi Alat No Titik Horizontal Vertikal BA BT BBSudut Dalam

1

1.65

P3 218.033 89.972 1.825 1.605 1.4002 4A 233.205 89.961 2.020 1.935 1.845 15.1723 4B 259.155 89.983 2.120 2.015 1.910 41.1224 4C 274.616 89.983 1.955 1.815 1.680 56.5835 4D 283.555 89.983 1.970 1.900 1.830 65.5226 4E 329.683 89.966 1.995 1.975 1.955 111.657 4F 314.444 89.966 2.325 2.260 2.200 96.4118 4G 312.805 89.972 2.430 2.325 2.215 94.7729 4H 312.316 89.966 2.280 2.125 1.970 94.283


BM8 0.0879 231332.31714 9635230.0656 2.058

βFs-βBs

Azimuth Awal Azimuth Berikut Jarak datar ΔX ΔY(Azbs-180) dd x SIN(AZb) dd x COS(AZb)

12.13680 207.30880 16.999992 -7.799 -15.10512.13680 233.25880 20.999998 -16.828 -12.56212.13680 248.71980 27.999998 -26.091 -10.16212.13680 257.65880 13.999999 -13.676 -2.99212.13680 303.78680 3.999999 -3.324 2.22412.13680 288.54780 12.999995 -12.325 4.13512.13680 286.90880 20.999995 -20.092 6.10812.13680 286.41980 30.999989 -29.736 8.763

(AZa + βsd)-180 ((BA-BT)x200)(SIN² V)

X Y ΔH Z

231285.390 9635157.792 -0.273 1.058231276.361 9635160.335 -0.359 0.972231267.099 9635162.735 -0.157 1.174231279.513 9635169.905 -0.246 1.085231289.865 9635175.121 -0.323 1.008231280.865 9635177.032 -0.602 0.729231273.097 9635179.005 -0.665 0.666231263.454 9635181.660 -0.457 0.874



1

1.55

P4 218.39444444 89.98333 1.730 1.525 1.3232 5A 231.22777778 89.98333 1.837 1.732 1.625 12.83333 5B 252.01111111 89.98333 2.400 2.280 2.160 33.61674 5C 266.16111111 89.98333 2.330 2.175 2.025 47.76675 5D 275.16666667 89.98889 2.180 1.990 1.800 56.77226 5E 298.23888889 89.98333 2.024 1.998 1.972 79.84447 5F 300.62777778 89.98333 2.289 2.216 2.146 82.23338 5G 302.40555556 89.98889 2.325 2.205 2.085 84.01119 5H 303.26111111 89.98333 2.325 2.160 2.000 84.8667


BM8 0.0879 231332.317 9635230.066 2.058

βFs-βBs

Azimuth Awal Azimuth Berikut Jarak datar ΔX ΔY X(Azbs-180) dd x SIN(AZb) dd x COS(AZb)

2.1921 195.0254 20.999998 -5.444 -20.282 231282.2872.1921 215.8087 23.999998 -14.042 -19.463 231273.6892.1921 229.9587 30.999997 -23.733 -19.944 231263.9982.1921 238.9643 37.999999 -32.560 -19.592 231255.1712.1921 262.0365 5.200000 -5.150 -0.720 231282.5812.1921 264.4254 14.599999 -14.531 -1.418 231273.2002.1921 266.2032 23.999999 -23.947 -1.589 231263.7832.1921 267.0587 32.999997 -32.957 -1.693 231254.774

(AZa + βsd)-180 ((BA-BT)x200)(SIN² V) Xalat ± ΔX

Y ΔH Z

9635120.107 -1.726 -0.4809635120.925 -2.273 -1.0279635120.445 -2.166 -0.9209635120.797 -1.983 -0.7379635139.668 -1.996 -0.7509635138.970 -2.212 -0.9669635138.799 -2.200 -0.9549635138.695 -2.150 -0.904

Yalat ± ΔY (Ti - BTfs)+(ddx1/TAN V ) Zalat ± ΔH


1

1.53

P5 219.63888889 89.95556 1.700 1.500 1.3002 6A 299.99444444 89.96111 2.085 2.050 2.015 80.3563 6B 305.81666667 89.93889 2.155 2.080 2.005 86.1784 6C 307.63888889 89.93889 2.265 2.140 2.020 88.0005 6D 308.14444444 89.93889 2.150 1.985 1.815 88.506


BM8 0.0879 231332.317 9635230.066 2.058

βFs-βBs

Azimuth Awal Azimuth Berikut Jarak datar ΔX ΔY X Y(Azbs-180) dd x SIN(AZb)dd x COS(AZb)

9.24456 129.23900 6.999997 5.422 -4.428 231288.851 9635089.9469.24456 135.06122 14.999983 10.595 -10.618 231294.024 9635083.7569.24456 136.88344 24.999972 17.087 -18.249 231300.516 9635076.1259.24456 137.38900 32.999962 22.342 -24.287 231305.771 9635070.087

(AZa + βsd)-180 ((BA-BT)x200)(SIN² V) Xalat ± ΔX Yalat ± ΔY

ΔH Z

-0.515 0.700-0.534 0.681-0.583 0.632-0.420 0.795

(Ti - BTfs)+(ddx1/TAN V ) Zalat ± ΔH

No Titik H V H VP4 219 38 20 89 57 20 219.639 89.9565A 299 59 40 89 57 40 299.994 89.9615B 305 49 0 89 56 20 305.817 89.9395C 307 38 20 89 56 20 307.639 89.9395D 308 8 40 89 56 20 308.144 89.9395E 0.000 0.0005F 0.000 0.0005G 0.000 0.0005H 0.000 0.000

contoh perhitungan situasi timbunan (perpetaan)

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