55931709 IMM Proiect 03 Compensarea Drumuirii Sprijinite La Capete

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    COMPENSAREA DRUMUIRII SPRIJINITE LA CAPETE

    PE PUNCTE DE COORDONATE CUNOSCUTE

    I LATURI CU ORIENTRI CUNOSCUTE

    Se dau:

    1. Inventar de coordonate puncte vechi;2. Msurtori de teren: lungimi nclinate msurate dus ntors, unghiuri zenitale n cele doupoziii

    ale lunetei, direcii orizontale n cele dou poziii ale lunetei;

    3. Schia drumuirii.

    Se cere:

    1. Completarea i prelucrarea carnetului de teren;2. Calculul i compensarea drumuirii sprijinite la capete pe puncte de coordonate cunoscute i laturi

    cu orientri cunoscute;

    3. Calculul coordonatelor punctelor radiate;4. S se prezinte la scara 1:1000 punctele de drumuire i punctele radiate;5. S se ntocmeasc profilul topografic prin punctele de drumuire, scara lungimilor 1:1000, scara

    nlimilor 1:100.

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    1. INVENTAR DE COORDONATE PUNCTE VECHI:Nr. punct X [m] Y [m] H [m]

    1 1244,388 7913,383 150,432

    2 1137,484 7954,687 150,500

    3 1372,142 8185,265 150,1964 1509,047 8167,262 150,450

    2. MSURTORI DE TEREN:PS PV L [m] Z (poziia I) Z (poziia II) Dir. (poziia I) Dir. (poziia II)

    1

    2 253 55 72 53 55 62

    11 128,563 100 24 47 299 75 31 159 63 36 359 63 50

    2 253 55 66 53 55 85

    11

    1 128,567 99 75 39 300 24 74 71 42 70 271 42 74

    12 61,897 100 38 36 299 61 73 218 74 00 18 73 78

    1 71 42 85 271 42 99

    111 st. el. 17,312 98 58 41 152 43 70

    112 c. apa. 15,430 99 91 75 253 97 50

    113 st. el. 10,866 101 10 74 355 74 42

    12

    11 61,894 99 61 02 300 39 03 217 95 54 17 95 59

    13 31,341 100 51 80 299 48 25 382 88 70 182 88 74

    11 217 95 49 17 95 32

    121 c. can 15,658 95 93 55 283 13 28122 c gaz 6,439 94 98 21 89 96 72

    13

    12 31,348 99 49 23 300 50 62 67 26 06 267 26 20

    14 83,511 99 79 19 300 20 66 378 32 80 178 33 00

    13 67 26 15 267 26 48

    14

    13 83,503 100 20 43 299 79 78 172 29 60 372 29 77

    3 42,026 99 05 93 300 94 28 344 19 30 144 19 63

    13 172 29 73 372 29 87

    141 lampadar 18,208 97 25 45 194 55 04

    142 hidrant 24,261 98 02 38 318 77 84

    143 gaigar 24,807 97 94 92 17 03 72144 c. telefon 21,221 96 23 59 107 09 38

    3

    14 42,019 100 95 30 299 04 58 183 01 84 383 02 08

    4 296 87 06 96 87 26

    14 183 01 77 383 01 66

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    3. SCHIA DRUMUIRII:

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    1) Calculul distanelor orizontale:

    D= L cos =128,563 cos(02463)= 128,563 0,999993 = 128,562D = L cos=61,897 cos(03866)= 61,897 0,999982 = 61,896D = L cos=31,341 cos(05123)= 31,341 0,999968 = 31,340D = L cos=83,511 cos(02053)= 83,511 0,999995 = 83,511D = L cos =42,26 cos(09432)= 42,26 0,999890 = 42,26

    2) Calculul orientrilor i distanelor laturilor de sprijin:

    = arctan = arctan7954,687 7913,3831137,484 1244,388 = arctan

    41,304

    106,904 = arctan (0,386) =

    = 23,4720 = 234720 = 200234720= 1765280

    = arctan = arctan8167,262 8185,2651509,047 1372,142 = arctan

    18,003136,905

    = arctan (0,132) =

    = 8,3531 = 400 83551 = 3916449

    D= + = (106,904)+ (41,304)= 11428.465 + 1706,020 =

    = 13134,485 = 114,606

    D= + = (136,905)+ (18,003)= 18742.979 + 324,080 =

    = 19067,059 = 138,084

    3) Calculul unghiului de frngere :

    = = 2535567 1596339 = 939228 = 400 = 400 939228 = 3060772 = = 2187379 714272 = 1473107

    =

    = 3828889

    2179575 = 1649314

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    = = 672613 3783281+ 400= 3110668+ 400== 889332

    = 400 = 400 889332 = 3110668 = = 3441941 1722969= 1718972 = = 2968728 1830196= 1138532

    4) Calculul orientrilor provizorii sau transmiterea orientrilor:

    = + 400= 1765280+ 3060772 400= 826052

    = + = ( 200) + = 826052 + 200 + 1473107== 4299159 400= 299159

    = + = ( 200) + = 299159 + 200 + 1649314 == 3948473

    = + = ( 200) + = 3948473 200 + 3110668 =

    = 5059141 400= 1059141 = + = ( 200) + = 1059141+ 200+ 1718972=

    = 4778113 400= 778113 = + = ( 200) + = 778113+ 200+ 1138532=

    = 3916645

    5) Calculul coreciilor pentru orientri:

    e = V V = = 3916645 3916449= 196c = e = 196

    q =cn

    =196

    6 = 0,326 = 32,6

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    6) Compensarea orientrilor:

    = + 1 q = 82605233 = 826019 = + 2 q = 29915965= 299094 = + 3 q = 394847398 = 3948375 = + 4 q = 1059141 130= 1059011 = + 5 q = 778113 163 = 777950 = + 6 q = 3916645 196 = 3916449 =

    7) Calculul creterilor de coordonate provizorii:

    = L cos = 128,563 cos826019 =128,563 0,269900 = 34,699 = L sin = 128,563 sin 826019 =128,563 0,962889 = 123,792 = D tan = 128,562 tan(002463)=128,562 (0,003868)= 0,497

    = L

    cos

    = 61,897 cos299094=61,897 0,891652 = 55,191

    = L sin = 61,897 sin299094=61,897 0,452722 = 28,022 = D tan = 61,896 tan(003866)=61,896 (0,006073)= 0,376

    = L cos = 31,341 cos3948375 =31,341 0,996714 = 31,238 = L sin = 31,341 sin3948375=31,341 (0,081004)= 2,539

    = D tan = 31,340 tan(05123)=31,340 (0,008048)= 0,252

    = L cos = 83,511 cos1059011 =83,511 (0,092561)= 7,730 = L sin = 83,511 sin1059011=83,511 0,995707 = 83,153 = D tan = 83,511 tan02053=83,511 0,003225 = 0,269

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    = L cos = 42,26 cos777950=42,26 0,341766 = 14,443 = L sin = 42,26 sin777950 =42,26 0,939785 = 39,715

    = D

    tan

    = 42,26 tan

    09432 =42,26 0,014816 = 0,626

    8) Calculul coreciilor pentru creterile de coordonate:

    e = V V = (x x)==

    +

    +

    +

    +

    (x

    x

    )=

    = 34,699 + 55,191 + 31,238 7,730 + 14,443 (1372,142 1244,388)== 127,841 127,754 = 0,087

    e = V V = (y y)=

    = + + + + (y y)== 123,792 + 28,022 2,539 + 83,153 + 39,715 (8185,265 7913,383)== 272,143 271,882 = 0,261

    e = V V= (H H)=

    = + + + + (H H)== 0,497 0,376 0,252 + 0,269 + 0,626 (150,196 150,432)== 0,23 + 0,236 = 0,006

    D = D+ D+ D+ D+ D =

    = 128,562 + 61,896 + 31,340 + 83,511 + 42,26 = 347,569

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    e, = e+ e= 0,087+ 0,261= 0,007569+ 0,068121 =0,07569 0,275

    T,= 30cme, < T,

    e = 0,006

    T = 0,2 D []= 0,20,3475690,2 0,590 = 0,118

    e < T

    c= e = 0,087c= e = 0,261c= e = 0,006

    K =c

    D=0,087347,569

    = 0,000250

    K = c D= 0,261

    347,569= 0,000751

    K=c

    D=0,006347,569

    = 0,000017

    9) Compensarea creterilor de coordonate:

    = + K D= 34,699 0,032 = 34,667K D = (0,000250) 128,562 = 0,032 = + K D = 123,792 0,097 = 123,695K D = (0,000751) 128,562 = 0,097 = + K D = 0,497 0,002 = 0,499

    K D= (0,000017) 128,562 = 0,002

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    = + K D= 55,191 0,016 = 55,175K D = (0,000250) 61,896 = 0,016 = + K D= 28,022 0,047 = 27,975K

    D

    = (

    0,000751) 61,896 =

    0,047

    = + K D= 0,376 0,001 = 0,377K D= (0,000017) 61,896 = 0,001

    = + K D= 31,238 0,008 = 31,230K D = (0,000250) 31,340 = 0,008

    = + K D= 2,539 0,024 = 2,563K D = (0,000751) 31,340 = 0,024 = + K D= 0,252 0,001 = 0,253K D= (0,000017) 31,340 = 0,001

    = + K D= 7,730 0,021 = 7,751K D = (0,000250) 83,511 = 0,021 = + K D= 83,153 0,062 = 83,091K D = (0,000751) 83,511 = 0,062 = + K D= 0,269 0,001 = 0,268K D= (0,000017) 83,511 = 0,001

    = + K D= 14,443 0,010 = 14,433K D = (0,000250) 42,26 = 0,010 = + K D = 39,715 0,031 = 39,684K D = (0,000751) 42,26 = 0,031

    = + K D = 0,626 0,001 = 0,625K D= (0,000017) 42,26 = 0,001

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    10) Calculul coordonatelor absolute:

    x = x+ = 1244,388 + 34,667 = 1279,055y = y+ = 7913,383 + 123,695 = 8037,078H= H+ = 150,432 0,499 = 149,933

    x = x+ = 1279,055 + 55,175 = 1334,230y = y+

    = 8037,078 + 27,975 = 8065,053

    H= H+ = 149,933 0,377 = 149,556

    x = x+ = 1334,230 + 31,230 = 1365,460y = y+ = 8065,053 2,563 = 8062,490H= H+ = 149,556 0,253 = 149,303

    x = x+ = 1365,460 7,751 = 1357,709y = y+ = 8062,490 + 83,091 = 8145,581H= H+ = 149,303 + 0,268 = 149,571

    x = x+ = 1357,709 + 14,433 = 1372,142y = y+ = 8145,581 + 39,684 = 8185,265H = H+ = 149,571 + 0,625 = 150,196

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    11) Calculul coordonatelor absolute ale punctelor radiate:

    x= x+ = 1279,055 + 14,560 = 1293,615y = y+

    = 8037,078 9,365 = 8027,713

    H= H+ = 149,933 + 0,433 = 150,366

    = L cos = 17,312 cos3636117= 17,312 0,841044 = 14,560 = L sin =17,312 sin3636117= 17,312 (0,540967)= 9,365 = D tan = 17,308 tan14159 = 17,308 0,022244 = 0,385

    D = L cos =17,312 cos14159 = 17,312 0,999753 = 17,308= dir dir = 1524370 714272= 810098 = ( 200) + = 2826019+ 810098 = 3636117

    x= x+ = 1279,055 + 8,031 = 1287,086y = y+ = 8037,078 + 13,175 = 8050,253H= H+ = 149,933 + 0,020 = 149,953

    = L cos =15,430 cos651497 = 15,430 0,520492 = 8,031 = L sin = 15,430 sin651497=15,430 0,853867 = 13,175 = D tan = 15,430 tan00825= 15,430 0,001296 = 0,020

    D = L cos =15,430 cos00825 = 15,430 0,999999 = 15,430= dir dir = 2539750 714272= 1825478 = ( 200) + = 2826019+ 1825478=

    = 4651497 400= 651497

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    x= x+ = 1279,055 9,432 = 1269,623y = y+ = 8037,078 + 5,396 = 8042,474H= H+ = 149,933 0,189 = 149,744

    = L cos = 10,866 cos1669189= 10,866 (0,867999)= 9,432 = L sin = 10,866 sin1669189= 10,866 0,496565 = 5,396 = D tan = 10,864 tan(11074)= 10,864 (0,017397)= 0,189

    D = L cos = 10,866 cos(11074)= 10,866 0,999849 = 10,864= dir dir = 3557442 714272= 2843170 = ( 200) + = 2826019+ 2843170 400=

    = 5669189 400= 1669189

    x= x+ = 1334,230 1,207 = 1333,023y = y+ = 8065,053 15,611 = 8049,442H= H+ = 149,556 + 0,999 = 150,555

    = L cos = 15,658 cos2950857 = 15,658 (0,077117)= 1,207

    = L sin =15,658 sin2950857= 15,658 (0,997022)= 15.611 = D tan = 15,626 tan 40645= 15,626 0,063932 = 0,999

    D = L cos = 15,658 cos 40645 = 15,658 0,997963 = 15,626= dir dir = 2831338 2179575= 651763 = ( 200) + = 2299094+ 651763= 2950857

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    x= x+ = 1334,230 0,194 = 1334,036y = y+ = 8065,053 + 6,436 = 8071,489H

    = H

    +

    = 149,556 + 0,507 = 150,063

    = L cos = 6,439 cos1019191= 6,439 (0,030141)= 0,194 = L sin =6,439 sin1019191=6,439 0,999546 = 6,436 = D tan =6,419 tan50179 = 6,419 0,078985 = 0,507

    D

    = L

    cos

    =6,439 cos

    50179 = 6,439 0,996895 = 6,419

    = dir dir = 899672 2179575+ 400 ==1279903 + 400= 2720097

    = ( 200) + = 2299094+ 2720097 400== 5019191 400= 1019191

    x= x+ = 1357,709 + 7,793 = 1365,502y = y+ = 8145,581 16,456 = 8129,125H= H+ = 149,571 + 0,785 = 150,356

    = L cos = 18,208 cos3281546 = 18,208 0,427975 = 7,793 = L sin = 18,208 sin3281546= 18,208 (0,903790)= 16,456 = D tan = 18,191 tan 27455= 18,191 0,043153 = 0,785

    D = L cos = 18,208 cos 27455 = 18,208 0,999070 = 18,191= dir dir = 1945504 1722969= 222535

    = ( 200) + = 3059011+ 222535= 3281546

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    x= x+ = 1357,709 + 16,501 = 1374,210y = y+ = 8145,581 + 17,785 = 8163,366H= H+ = 149,571 + 0,753 = 150,324

    = L cos = 24,261 cos523826= 24,261 0,680154 = 16,501 = L sin = 24,261 sin523826=24,261 0,733070 = 17,785 = D tan = 24,249 tan 19762= 24,249 0,031052 = 0,753

    D = L cos = 24,261 cos 19762 = 24,261 0,999518 = 24,249

    = dir dir = 3187784 1722969= 1464815 = ( 200) + = 3059011+ 1464815 400=

    = 4523826 400= 523826

    x= x+ = 1357,709 17,717 = 1339,992y = y+ = 8145,581 + 17,364 = 8162,945H= H+ = 149,571 + 0,799 = 150,370

    = L cos =24,807 cos1506414= 24,807 (0,714195)= 17,717 = L sin = 24,807 sin1506414= 24,807 0,699947 = 17,364

    = D tan = 24,794 tan 20508 = 24,794 0,032225 = 0,799

    D = L cos = 24,807 cos 20508 = 24,807 0,999481 = 24,794= dir dir = 170372 1722969+ 400 =

    =1552597 + 400= 2447403 = ( 200) + = 3059011+ 2447403 400=

    = 5506414 400= 1506414

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    x= x+ = 1357,709 17,030 = 1340,679y = y+ = 8145,581 12,661 = 8132,920H

    = H

    +

    = 149,571 + 1,253 = 150,824

    = D cos = 21,221 cos2406980= 21,221 (0,802524)= 17,030 = D sin =21,221 sin 2406980=21,221 (0,596620)= 12,661 = D tan = 21,184 tan 37641 = 21,184 0,059195 = 1,253

    D

    = L

    cos

    = 21,221 cos

    37641 = 21,221 0,998253 = 21,184

    = dir dir = 1070938 1722969+ 400== 652031+ 400= 3347969

    = ( 200) + = 3059011+ 3347969 400== 6406980 400= 2406980