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TOPOGRAFIE

PROIECT NUMRUL 1 :Calculul i compensarea drumuirii sprijinit la capete pe punctede coordonate cunoscute i laturi cu orientri multiple.

GEODEZIE , AN II , SERIA A , GRUPA 1



Silviu tefan BENCIU PROIECT TOPOGRAFIE

Se dau:

1. Coordonatele X i Y ale punctelor 1, 2, 3, 4, 5, 6 i 7

2. Cotele punctelor 1 i 4

INVENTAR COORDONATE

Nr. pct. X [m] [m] H [m]

1 1244,389 7913,383 150,4292 1137,484 7954,6873 1334,276 7952,4234 1372,142 8185,261 150,1965 1509,047 8167,2626 1319,843 8196,4017 1279,153 8142,064

3. Elemente msurate pe teren, prezentate în carnetul de teren

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

3 103.14.37 303.14.29

11 128,563 100.24.51 299.75.31 159.63.49 359.63.50

2 253.56.66 53.55.85

1 128,567 99.75.39 300.24.74 71.42.70 271.42.74




14

13 83,503 100.20.43 299.79.78 172.29.60 372.29.77

4 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 98.02.38 318.77.84143 gaigar 24,807 97.94.92 17.03.72

144 c. telefon 21,221 96.23.59 107.09.38

4

14 42,019 100.95.30 299.04.54 183.01.84 383.02.04

5 296.87.06 96.87.26

6 91.83.27 291.83.53

7 132.89.51 332.89.71

14 183.01.77 383.01.66

Se cere:

1. S se determine coordonatele punctelor 11, 12, 13 i 14 din drumuire;

2. S se determine coordonatele punctelor radiate;

3. S se raporteze la o scar convenabil (1:500; 1:1000; 1:2000) punctele din drumuire.




Etape de calcul: (Partea I)

1. Prelucrarea datelor i ataarea lor în carnetul de teren .

1.1. Calculul unghiului de pant .

αI = 100G − zI

= −300

=

⇒ = /

1.1.1. = 100 −1002451 = −02451 = 2997531 −300 = −02469 + 2 = = −02460

= 100

− 99

75

39

= 0

24

61

= 3002474 −300 = 02474 + 2 = = 02467

= = −02463

= 02463

1.1.2. = 100 − 1003836 = −03836 = 2996173 − 300 = −03827 + = = −03832




1.1.3. = 100 − 1005180 = −05180

= 299

48

25

− 300

= −0

51

75

+ 2 = = −05178

= 100 − 994923 = 05077 = 3005062 − 300 = 05062 +

2= = 05069

= = −05123

= 05123

1.1.4.

= 100

− 99

79

19

= 0

20

81

= 3002066 − 300 = 02066 + 2 = = 02074

= 100 − 1002043 = −02043 = 2997978 − 300 = −02022

+

2 = = −02033

= = 02054

= −02054

1.1.5. = 100 − 990593 = 09407 = 3009428 −300 = 09428 +

2 = = 09417

= 100 −1009530 = −09530




1.2. Calculul unghiului de frâgere .

= î −î(+400G dac este negativ diferena)

= − → = 2187379 − 714272 = 1473107 = = − → = 3828880 − 2179557 = 1649323 = = − → = 3783280 − 672613 = 3110667 = = − → = 3441941 − 1722969 = 1718972 =

2. Calculul distanelor orizontale. (reduse la orizont).

D = L ∗cosα

D = L ∗ cos α = 128,565 ∗cos−0G

24C

63CC

= 128,565 ∗ 0,999993 = 128,564 m

D = L ∗ cos α = 61,896 ∗ cos−0G38C66CC = 61,896 ∗ 0,999982 = 61,895 m

D = L ∗ cos α = 31,345 ∗ cos−0G51C23CC = 31,345 ∗ 0,999967 = 31,344 m

D = L ∗ cos α = 83,507 ∗ cos0G20C54CC = 83,507 ∗ 0,999994 = 83,507 m

D = L ∗ cos α = 42,023 ∗ cos0G94C78CC = 42,023 ∗ 0,999889 = 42,018 m

3. Calculul orientrilor laturilor de sprijin si compensarea lor.

3.1. Calculul orientrilor dintre punctele vechi (Calculul orientrilor laturilorde sprijin)

Calculu distanelor i orientrilor laturilor de sprijin

3.1.1. = arctg − −




= −0,131471 = −8 ,3220 = −83220 = 400−83220 = 3916780 = ∆

∆

= −

−

= 8196,401 − 8185,261

1319,843 − 1372,142= 11,140

− 52,299

= −0,213006 = −13 , 3607 = −133607 = 200−133607 = 1866393 = ∆∆ = − − = 8142,064 − 8185,261

1279,153 − 1372,142 = − 43,197− 92,989

= 0,464539 = 227

, 6852 = 227

68

52

3.1.2. = Δ + Δ

= ∆ + ∆ = −106,905 + 41,304 = 11428,679 + 1706,020 = = 13134,699 = 114,607

= ∆ + ∆ = 89,887 + 39,040 = 8079,673 + 1524,122 =




PCT. X

[m] Y

[m] = − −

ORIENTAREA =

[G C CC]

= + DISTANA

[m]

1 1244,389 7913,383

−0,386361 1765282 114,607 2 1137,484 7954,687

−106,905 41,304 1 1244,389 7913,383

0,434323 260849 97,999 3 1334,276 7952,423

89,887 39,040

4 1372,142 8185,261

−0,131471 3916780 138,083 5 1509,047 8167,262

136,905

− 17,999

4 1372,142 8185,261 −0,213006 1866393 53,472 6 1319,843 8196,401

− 52,299 11,140

4 1372,142 8185,261

0,464539 2276852 102,533 7 1279,153 8142,064

− 92,989 − 43,197




3.2. Calculul orientrilor laturilor de sprijin, folosind unghiul mediu de orientare alstaiei

3.2.1.

= 400 − + = 400 − +

= 400 −253 ,5567+176 ,5282 = 322 ,9715 = 400 −103 ,1430+26 , 0849 = 322 ,9419




3.2.2.

= 400 − + = 400 − +

= 400

− +

= − 296 ,8722+391 ,6780 = 94 ,8058 = − 91 ,8351+186 ,6393 = 94 ,8042 = − 132 ,8978+227 ,6852 = 94 ,7874




3.3. Calculul orientrilor provizorii (transmiterea orientrilor)

3.3.1. + 200 = ă 400 − = 117 ,4078 = − 117 ,4078 = 147 , 3107 − 117 , 4028 = 29 ,9029 = 299029

3.3.2. + 200 = ă = 229 ,9029 = + 229 ,9029 = 164 ,9323+229 ,9029 = 394 ,8352 = 3948352




3.3.3. − 200 = ă = 194 ,8352

400 − = 205 ,1648 = − 205 ,1648 = 311 , 0667 − 205 ,1648 = 105 ,9019 = 1059019

3.3.4. 200 − = − ⇒ = − 200 + + = − 200 + 105 , 9019 + 171 ,8972 = 77 ,7991 ⇒ = + 200 = 277 ,7991 = 2777991 = = 2777991




3.4. Calculul coreciei pe orientri

= − ≤

= − = − = 277 ,7991−277 , 8185 = − 0 ,0194

= 150 ∗ = 150 ∗ 6 ≅ 150 ∗ 2,45 = 367 , 5 ⇒ = 368 ℎ 0.20

− ă

= 50 ∗ = 50 ∗ 6 ≅ 50 ∗ 2,45 = 122 , 5 ⇒ = 122 ℎ 0.10 − ă

≤ = − 1

94

= − = 194

= − 2

=194

4 = 48

, 5

− ă

3.5.

= + ∗ = 1,4

= + 1 ∗ 48 , 5 = 29 , 9029 + 0 ,0049 = 29 ,9078 = 299078

= + 2 ∗ 48 5 = 394 8352 + 0 0097 = 394 8449 = 3948449




4. Calculul coordonatelor relative i compensarea lor

4.1. Calculul coordonatelor relative provizorii

4.1.1. = ∗ cos ⇒

= ∗cos = 128,564 ∗ cos82 ,5922 = 128,564 ∗ 0,270046= 34,718

= ∗cos = 61,895 ∗ cos29 ,9078 = 61,895 ∗0,891663= 55,189

= ∗cos = 31,344 ∗ cos394 ,8449 = 31,344 ∗0,996723= 31,241

= ∗cos = 83,507 ∗ cos105 ,9164 = 83,507 ∗ −0,092801= −7,750

= ∗ cos = 42,018 ∗ cos77 ,8185 = 42,018 ∗0,341419= 14,346

= 34,718 + 55,189 + 31,241 − 7,750 + 14,346 = 127,744

l f




4.1.2. = ∗ sin ⇒

= ∗ sin = 128,564 ∗ sin82 ,5922 = 128,564 ∗ 0,962847= 123,788

= ∗ sin = 61,895 ∗ sin29 ,9078 = 61,895 ∗ 0,452700

= 28,020

= ∗ sin = 31,344 ∗ sin394 ,8449 = 31,344 ∗ − 0,080888= − 2,535

= ∗ sin = 83,507 ∗ sin105

,9164 = 83,507 ∗ 0,995685= 83,147

= ∗ sin = 42,018 ∗ sin77 ,8185 = 42,018 ∗0,939911= 39,493

= 123,788 + 28,020 − 2,535 + 83,147 + 39,493 = 271,913

Sil i t f BENCIU PROIECT TOPOGRAFIE




4.1.3. ℎ = ∗ t g ⇒ ℎ

ℎ = ∗ tg = 128,564 ∗ tg− 0 ,2463 = 128,564 ∗ − 0,003869= − 0,497

ℎ = ∗ t g = 61,895 ∗ tg− 0 ,3866 = 61,895 ∗ − 0,006073

= − 0,376

ℎ = ∗ t g = 31,344 ∗ tg− 0 ,5123 = 31,344 ∗ − 0,008047= − 0,252

ℎ

= ∗ t g = 83,507 ∗ tg+ 0

,2054 = 83,507 ∗ 0,003226= 0,269

ℎ = ∗ t g = 42,018 ∗ tg+ 0 ,9478 = 42,018 ∗0,014889= 0,626

ℎ = − 0,497 – 0,376 − 0,252 + 0,269 + 0,626 = − 0,230





4.2. Calculul erorilor de neînchidere pe creterile de coordonate i a coreciilorde neînchidere pe creterile de coordonate

4.2.1. = − = − Δ = − −

= − Δ = − −

= 127,744 − 1372,142 – 1244,389 = 127,744 − 127,753 = −0,009 = −9

4.2.2. = − = − Δ = − −

= − Δ = − −

= 271,913 − 8185,261 – 7913,383 = 271,913 − 271,878 = 0,035 = 35

4.2.3. = − = ℎ − Δ = ℎ − −

= ℎ − Δ = ℎ − −

= − 0,230 − 150,196 – 150,429 = −0,230 + 0,233 = 0,003 = 3

În continuare se calculeaz eroare planimetric total :

; = +





; = ± 0,003∗ + , pentru intravilan cu terenuri cu panta < 5G ;

; = ± 0,0045∗ + , pentru extravilan cu terenuri cu panta > 5G

;

= ±0,2∗ .

= + + + +

= 128,564 + 61,895 + 31,344 + 83,507 + 42,018 = 347,328 = 0,347328

; = ± 0,003∗ + 5000 = ± 0,003∗ 347,328+ 347,3285000

= ±0,003∗18,63673791+0,069 = ±0,056+0,069 = ±0,125

= ±125

; = 0,036 ≤ ±0,125 = ;

= ± 0,2∗ = ±0,2∗ 0,347328 = 0,118 = 118

= 0,003 ≤ ±0,118 = .

4.2.4. Cum condiiile de mai sus sunt îndeplinite se pot calcula coreciile ; ; :

4.2.4.1. = − = − = 9 = 0,009

4.2.4.2.





4.3. Calculul cireciei unitare

4.3.1. = 100∗

= = 0,009 347,328 = 9

3,47328 100∗ = 2,591 100∗

4.3.2. = 100 ∗

= = −0,035 347,328 = −35

3,47328 100∗ = −10,077 100∗

4.3.3. = 100∗

= = −0,003 347,328 = −3

3,47328 100∗ = −0,864 100 ∗

4.4. Calculul coordonatelor relative compensate

4.4.1. = + ∗ 100 ∗ = ∗ 100 ∗

= ∗ = 2,591 ∗ 1,28564 = 3,331 = 0,003




= +

= + = 34,718 + 0,003 = 34,721 = + = 55,189 + 0,002 = 55,191

= + = 31,241 + 0,001 = 31,242

= + = −7,750 + 0,002 = −7,748

= + = 14,346 + 0,001 = 14,347

CONTROL 2 :

= + = Δ

= + + + + = 127,753 = Δ

4.4.2. = + ∗ 100∗

= ∗ 100∗

= ∗ = −10,077∗1,28564 = −12,955 = −0,013

= ∗ = −10,077∗0,61895 = −6,237 = −0,006

= ∗ = −10,077∗0,31344 = −3,158 = −0,003

= ∗ = −10,077∗0,83507 = −8,415 = −0,009

= ∗ = −10,077∗0,42018 = −4,234 = −0,004

CONTROL 1 :




CONTROL 2 :

=

+

= Δ

= + + + + = 271,878 = Δ

4.4.3.

ℎ = ℎ

+ ∗ 100 ∗

= ∗ 100∗

= ∗ = −0,864∗1,28564 = −1,111 = −0,001

= ∗ = −0,864∗ 0,61895 = −0,535 = −0,001

= ∗ = −0,864∗ 0,31344 = −0,271 = −0,0003

= ∗ = −0,864∗ 0,83507 = −0,722 = −0,001

= ∗ = −0,864∗0,42018 = −0,363 = −0,0004

CONTROL 1 : = + + + + = −0,003 = −3 =

ℎ = ℎ +

ℎ = ℎ + = −0,497 − 0,001 = −0,498

ℎ = ℎ + = −0,376 − 0,001 = −0,377

ℎ = ℎ + = −0,252 − 0,0003 = −0,252

ℎ ℎ 0 269 0 001 0 268




5. Calculul coordonatelor absolute ale punctelor de drumuire

5.1. = +

= + = 1244,389+34,721 = 1279,110

= + = 1279,110+55,191 = 1334,301

= + = 1334,301+31,242 = 1365,543

= + = 1365,543 + −7,748 = 1357,795

= + = 1357,795+14,347 = 1372,142

5.2. = +

=

+

= 7913,383+123,775 = 8037,158

= + = 8037,158 + 28,014 = 8065,172

= + = 8065,172 − 2,538 = 8062,634

= + = 8062,634 + 83,138 = 8145,772

= + = 8145,772 + 39,489 = 8185,261

5.3.




6. Calculul coordonatelor punctelor radiate

6.1. Prelucrarea datelor i ataarea lor în carnetul de teren

Calculul unghiului de pant

αI = 100G − zI

6.1.1.

= 100

− 98

58

41

= 1

41

59

= 100 − 999175 = 00825 = 100 −1011074 = −11074

6.1.2. = 100 − 959355 = 40645

= 100

− 94

98

21

= 5

01

79

6.1.3. = 100 − 972545 = 27455 = 100 − 980238 = 19762 = 100 − 979492 = 20508

= 100 − 962359 = 37641

6.2. Calculul distanelor orizontale. (reduse la orizont).

D = L ∗cosα

= · = 17,312 · 14159 = 17,312 · 0,999753 = 17,308 = · = 15,430 · 00825 = 15,430 · 0,999999 = 15,430




6.3. Calculul unghiului mediu de orientare a staiei

6.3.1.

= − + = − + +200

= 400 − +

= −71 ,4272+282 ,5922 = 211 , 1650 = 2111650

= 400 −218 ,7379+29 ,9078 = 211 , 1699 = 2111699




6.3.2.

= − + = − + +200

= − +

= −217 ,9557+229 ,9078 = 11 ,9521 = 119521

= −382 ,8880+394 ,8449 = 11 ,9569 = 119569




6.3.3.

= − + = − + −200

= 400 − +

= −67 ,2613+194 ,8449 = 127 , 5836 = 1275836

= 400 −378 ,3280+105 ,9164 = 127 ,5884 = 1275884




6.3.4.

= − + = − + +200

= 400 − +

= −172 ,2969+305 , 9164 = 133 ,6195 = 1336195

= 400 −344 ,1941+77 ,8185 = 133 , 6244 = 1336244




6.4. Calculul orientrilor ctre puncte (cu ajutorul unghiului mediu de orientare alstaiei)

6.4.1.

= +

= + −400 = + −400

= 152 ,4370+211 , 1666 = 363 , 6036 = 3636036




6.4.3.




6.5. Calculul coordonatelor relative (a creterii de coordonate)

6.5.1. = ∗ cos

= ∗ cos = 17,308 ∗ cos363 ,6036 = 17,308 ∗ 0,840975= 14,556

= ∗ cos = 15,430 ∗ cos65 ,1416 = 15,430 ∗0,520601= 8,033

= ∗ cos = 10,864 ∗ cos166 ,9108 = 10,864 ∗ −0,867936= −9,429

= ∗ cos = 15,626 ∗ cos295 ,0875 = 15,626 ∗ −0,077089= −1,205

= ∗ cos = 6,416 ∗ cos101 ,9209 = 6,416 ∗ −0,030169= −0,194

= ∗ cos = 18,191 ∗ cos328 ,1715 = 18,191 ∗ 0,428215= 7,790

= ∗ cos = 24,249 ∗ cos52 ,3995 = 24,249 ∗ 0,679959

= 16,488 = ∗ cos = 24,794 ∗ cos150 ,6583 = 24,794 ∗ −0,714381= −17,712

= ∗ cos = 21 184 ∗ cos240 7149 = 21 184 ∗ 0 802366




6.5.2. = ∗ sin

= ∗sin = 17,308 ∗ sin363 ,6036 = 17,308 ∗ −0,541074= −9,365

= ∗sin = 15,430 ∗ sin65 ,1416 = 15,430 ∗0,853800

= 13,174

= ∗sin = 10,864 ∗ sin166 ,9108 = 10,864 ∗ 0,496675 = 5,396

= ∗sin = 15,626 ∗ sin295 ,0875 = 15,626 ∗ −0,997024= −15,580

= ∗sin = 6,416 ∗ sin101 ,9209 = 6,416 ∗0,999545= 6,416

= ∗sin = 18,191 ∗ sin328 ,1715 = 18,191 ∗ −0,903677= −16,439

= ∗sin = 24,249 ∗ sin52 ,3995 = 24,249 ∗0,733250= 17,781

= ∗sin = 24,794 ∗ sin150 ,6583 = 24,794 ∗0,699757= 17,350

= ∗sin = 21,184 ∗ sin240 ,7149 = 21,184 ∗ −0,596833= −12,643




6.5.3. ℎ = ∗ tg

ℎ = ∗ t g = 17,308 ∗ tg1 ,4159 = 17,308 ∗0,022245= 0,385

ℎ = ∗ t g = 15,430 ∗ tg0 ,0825 = 15,430 ∗0,001296

= 0,020 ℎ = ∗ t g = 10,864 ∗ tg−1 ,1074 = 10,864 ∗ −0,017397= −0,189

ℎ = ∗ t g = 15,626 ∗ tg4 ,0645 = 15,626 ∗0,063932= 0,999 = ∗ t g = 6,416 ∗ tg5 ,0179 = 6,416 ∗0,078985= 0,507

ℎ = ∗ t g = 18,191 ∗ tg2

,7455 = 18,191 ∗0,043153= 0,785 ℎ = ∗ t g = 24,249 ∗ tg1 ,9762 = 24,249 ∗0,031052

= 0,753 ℎ = ∗ t g = 24,794 ∗ tg2 ,0508 = 24,794 ∗0,032225

= 0,799 ℎ = ∗ t g = 21,184 ∗ tg3 ,7641 = 21,184 ∗0,059195= 1,254




6.6. Calculul coordonatelor absolute ale punctelor radiate

6.6.1. = +

= + = 1279,110 + 14,556 = 1293,666 = + = 1279,110 + 8,033 = 1287,143 = + = 1279,110 + −9,429 = 1269,681

= + = 1334,301 + −1,205 = 1333,096

= + = 1334,301 + −0,194 = 1334,107

= + = 1357,795 + 7,790 = 1365,585 = + = 1357,795 + 16,488 = 1374,283 = + = 1357,795 + −17,712 = 1340,083 = + = 1357,795 + −16,997 = 1340,798

6.6.2. = +

= + = 8037,158 + −9,365 = 8027,793 = + = 8037,158 + 13,174 = 8050,332

= + = 8037,158 + 5,396 = 8042,554

= + = 8065,172 + −15,580 = 8049,592 = + = 8065,172 + 6,416 = 8071,588

= + = 8145,772 + −16,439 = 8129,333 = + = 8145,772 + 17,781 = 8163,553

= + = 8145,772 + 17,350 = 8163,122 = + = 8145,772 + −12,643 = 8133,129

6.6.3.




(Partea a II -a)

1'. Prelucrarea datelor i ataarea lor în carnetul de teren .

1.1'. Calculul unghiului de pant .

αI = 100G − zI

= −300

=

⇒ = /

1.1.1'. = 100 −1002451 = −02451 = 2997531 −300 = −02469 +

2 = = −02460

= 100 − 997539 = 02461

= 3002474 −300 = 02474 + 2 = = 02467

= = −02463

= 02463

1.1.2'. = 100 − 1003836 = −03836 = 2996173 − 300 = −03827 + = = −03832




1.1.3'. = 100 − 1005180 = −05180

= 299

48

25

− 300

= −0

51

75

+ 2 = = −05178

= 100 − 994923 = 05077 = 3005062 − 300 = 05062 + 2 = = 05069

= = −05123

= 05123

1.1.4'. = 100 − 997919 = 02081

= 3002066 − 300 = 02066 + 2 = = 02074

= 100 − 1002043 = −02043 = 2997978 − 300 = −02022 +

2 = = −02033

= = 02054

= −02054

1.1.5'.

= 100

− 99

05

93

= 0

94

07

= 3009428 −300 = 09428 + 2 = = 09417

= 100 −1009530 = −09530


l l l h l d f



1.2'. Calculul unghiului de frâgere .

= î −î (+400G dac este negativ diferena)

= − → = 2187379 − 714272 = 1473107 = = − → = 3828880 − 2179557 = 1649323 = = − → = 3783280 − 672613 = 3110667 = = − → = 3441941 − 1722969 = 1718972 =

2'. Calculul distanelor orizontale. (reduse la orizont).

D = L ∗cosα D = L ∗ cos α = 128,565 ∗cos−0G24C63CC = 128,565 ∗ 0,999993 = 128,564 m

D = L ∗ cos α = 61,896 ∗ cos−0G38C66CC = 61,896 ∗ 0,999982 = 61,895 m D = L ∗ cos α = 31,345 ∗ cos−0G51C23CC = 31,345 ∗ 0,999967 = 31,344 m

D = L ∗ cos α = 83,507 ∗ cos0G20C54CC = 83,507 ∗ 0,999994 = 83,507 m

D = L ∗ cos α = 42,023 ∗ cos0G94C78CC = 42,023 ∗ 0,999889 = 42,018 m

3'. Calculul orientrilor laturilor de sprijin si compensarea lor.

3.1'. Calculul orientrilor dintre punctele vechi (Calculul orientrilor laturilor desprijin)

Calculu distanelor i orientrilor laturilor de sprijin

3.1.1'. = arctg − −


= −0 131471 = −8 3220 = −83220 = 400−83220 = 3916780



= −0,131471 = −8 ,3220 = −8 32 20 = 400 −8 32 20 = 391 67 80 = ∆∆ = − − = 8196,401 − 8185,261

1319,843 − 1372,142 = 11,140− 52,299

= −0,213006 = −13 , 3607 = −133607 = 200−133607 = 1866393 = ∆∆ = − − = 8142,064 − 8185,261

1279,153 − 1372,142 = − 43,197− 92,989

= 0,464539 = 227 , 6852 = 2276852

3.1.2'. = Δ + Δ

= ∆ + ∆ = −106,905 + 41,304 = 11428,679 + 1706,020 = = 13134,699 = 114,607 = ∆ + ∆ = 89,887 + 39,040 = 8079,673 + 1524,122 =




PCT. X

[m] Y

[m] = − − ORIENTAREA =

[G C CC]

= + DISTANA

[m]

1 1244,389 7913,383

−0,386361 1765282 114,607 2 1137,484 7954,687

−106,905

41,304

1 1244,389 7913,383 0,434323 260849 97,999 3 1334,276 7952,423

89,887 39,040

4 1372,142 8185,261

−0,131471 3916780 138,083 5 1509,047 8167,262

136,905 − 17,999

4 1372,142 8185,261

−0,213006 1866393 53,472 6 1319,843 8196,401

− 52,299 11,140

4 1372,142 8185,261

0,464539 2276852 102,533 7 1279,153 8142,064

− 92,989 − 43,197


3 2' l l l l l l d f l d h l d d l



3.2'. Calculul orientrilor laturilor de sprijin, folosind unghiul mediu de orientare al staiei 3.2.1'.

= 400 − +

= 400

− +

= 400 −253 ,5567+176 ,5282 = 322 ,9715 = 400 −103 ,1430+26 , 0849 = 322 ,9419


3 2 2'



3.2.2 .

= 400 − + = 400 − + = 400 − +

= − 296 ,8722+391 ,6780 = 94 ,8058 = − 91 ,8351+186 ,6393 = 94 ,8042 = − 132 ,8978+227 ,6852 = 94 ,7874


3 3' Calculul orientrilor provizorii (transmiterea orientrilor)



3.3 . Calculul orientrilor provizorii (transmiterea orientrilor)

3.3.1'. + 200 = ă 400 − = 117 ,4078 = − 117 ,4078 = 147 , 3107 − 117 , 4028 = 29 ,9029 = 299029

3.3.2'. + 200 = ă = 229 ,9029 = + 229 ,9029 = 164 ,9323+229 ,9029 = 394 ,8352 = 3948352


3.3.3'.



3.3.3 . − 200 = ă = 194 ,8352

400

− = 205

,1648

= − 205 ,1648 = 311 , 0667 − 205 ,1648 = 105 ,9019 = 1059019

3.3.4'. 200 − = − ⇒ = − 200 + + = − 200 + 105 , 9019 + 171 ,8972 = 77 ,7991 ⇒ = + 200 = 277 ,7991 = 2777991 = = 2777991


3.4'. Calculul coreciei pe orientri



p

= − ≤

= − = − = 277 ,7991−277 , 8185 = − 0 ,0194

= 150 ∗ = 150 ∗ 6 ≅ 150 ∗ 2,45 = 367 , 5 ⇒ = 368 ℎ 0.20 − ă

= 50 ∗ = 50 ∗ 6 ≅ 50 ∗ 2,45 = 122 , 5 ⇒ = 122 ℎ 0.10 − ă

≤ = − 194

= − = 194

= − 2

= 194

4= 48 , 5

− ă

3.5'.

=

+ ∗

= 1,4

= + 1 ∗ 48 , 5 = 29 , 9029 + 0 ,0049 = 29 ,9078 = 299078

= + 2 ∗ 48 5 = 394 8352 + 0 0097 = 394 8449 = 3948449


4'. Calculul coordonatelor relative i compensarea lor



4.1'. Calculul coordonatelor relative provizorii

4.1.1'. = ∗ cos ⇒

= ∗cos = 128,564 ∗ cos82 ,5922 = 128,564 ∗ 0,270046

= 34,718

= ∗cos = 61,895 ∗ cos29 ,9078 = 61,895 ∗0,891663= 55,189

= ∗cos = 31,344 ∗ cos394

,8449 = 31,344 ∗0,996723= 31,241

= ∗cos = 83,507 ∗ cos105 ,9164 = 83,507 ∗ −0,092801= −7,750

= ∗ cos = 42,018 ∗ cos77 ,8185 = 42,018 ∗0,341419= 14,346

= 34,718 + 55,189 + 31,241 − 7,750 + 14,346 = 127,744


4.1.2'.



= ∗ sin ⇒

= ∗ sin = 128,564 ∗ sin82 ,5922 = 128,564 ∗ 0,962847= 123,788

= ∗ sin = 61,895 ∗ sin29 ,9078 = 61,895 ∗ 0,452700

= 28,020

= ∗ sin = 31,344 ∗ sin394 ,8449 = 31,344 ∗ − 0,080888= − 2,535

= ∗ sin = 83,507 ∗ sin105 ,9164 = 83,507 ∗ 0,995685= 83,147

= ∗ sin = 42,018 ∗ sin77 ,8185 = 42,018 ∗0,939911= 39,493

= 123,788 + 28,020 − 2,535 + 83,147 + 39,493 = 271,913


4.1.3'.



ℎ = ∗ t g ⇒ ℎ

ℎ = ∗ tg = 128,564 ∗ tg− 0 ,2463 = 128,564 ∗ − 0,003869= − 0,497

ℎ = ∗ t g = 61,895 ∗ tg− 0 ,3866 = 61,895 ∗ − 0,006073

= − 0,376

ℎ = ∗ t g = 31,344 ∗ tg− 0 ,5123 = 31,344 ∗ − 0,008047= − 0,252

ℎ = ∗ t g = 83,507 ∗ tg+ 0 ,2054 = 83,507 ∗ 0,003226= 0,269

ℎ = ∗ t g = 42,018 ∗ tg+ 0 ,9478 = 42,018 ∗0,014889= 0,626

ℎ = − 0,497 – 0,376 − 0,252 + 0,269 + 0,626 = − 0,230


4.2'. Calculul erorilor de neînchidere pe creterile de coordonate i a coreciilor de



neînchidere pe creterile de coordonate

4.2.1'.

= − = − Δ = − −

= − Δ = − −

= 127,744 − 1372,142 – 1244,389 = 127,744 − 127,753 = −0,009 = −9

4.2.2'. = − = − Δ = − −

= − Δ = − − = 271,913 − 8185,261 – 7913,383 = 271,913 − 271,878 = 0,035 = 35

4.2.3'.

= − = ℎ

− Δ = ℎ

− −

= ℎ − Δ = ℎ − −

= − 0,230 − 150,196 – 150,429 = −0,230 + 0,233 = 0,003 = 3

În continuare se calculeaz eroare planimetric total :

; = +


; = ± 0,003∗ + , pentru intravilan cu terenuri cu panta < 5G ;



; p p

; = ± 0,0045∗ +

, pentru extravilan cu terenuri cu panta > 5 G ;

= ±0,2∗ .

= + + + +

= 128,564 + 61,895 + 31,344 + 83,507 + 42,018 = 347,328 = 0,347328

; = ± 0,003∗ + 5000 = ± 0,003∗ 347,328+ 347,3285000

= ±0,003∗18,63673791+0,069 = ±0,056+0,069 = ±0,125 = ±125

; = 0,036 ≤ ±0,125 = ;

= ± 0,2∗ = ±0,2∗ 0,347328 = 0,118 = 118

= 0,003 ≤ ±0,118 = .

4.2.4'. Cum condiiile de mai sus sunt îndeplinite se pot calcula coreciile ; ; :

4.2.4.1'. = − = −

= 9 = 0,009


4.3'. Calculul cireciei unitare



4.3.1'. = 100∗

= → = 0,009 143,244 = 9

1,43244 100∗ = 6,283 100 ∗

4.3.2'.

= 100 ∗

= → = −0,035 276,983 = −35

2,76983 100∗ = −12,636 100 ∗

4.3.3'. =

ℎ 100 ∗

= ℎ→ = −0,003 2,020 = −3

0,0202 100∗ = −148,515 100∗

4.4'. Calculul coordonatelor relative compensate

4.4.1'. = + ∗ 100 ∗ = ∗ 100∗

∗ 6 283 ∗ 0 34718 2 181 0 002


= +



=

+ = 34,718 + 0,002 = 34,720

= + = 55,189 + 0,003 = 55,192

= + = 31,241 + 0,002 = 31,243

= + = −7,750 + 0,001 = −7,749

= + = 14,346 + 0,001 = 14,347

CONTROL 2 :

= + = Δ

= + + + + = 127,753 = Δ

4.4.2'. = + ∗ 100∗

= ∗ 100∗

= ∗ = −12,636∗1,23788 = −15,642 = −0,016

= ∗ = −12,636∗0,28020 = −3,541 = −0,004

= ∗ = −12,636∗0,02535 = −0,320 = −0,0003

=

∗

= −12,636∗0,83147 = −10,506 = −0,010

= ∗ = −12,636∗0,39493 = −4,990 = −0,005

CONTROL 1 :


CONTROL 2 :



= + = Δ

= + + + + = 271,878 = Δ

4.4.3'.

ℎ = ℎ

+ ∗ ℎ

100∗

= ∗ ℎ 100∗

= ∗ ℎ = −148,515∗0,00497 = −0,7 = −0,001

= ∗ ℎ = −148,515∗0,00376 = −0,6 = −0,001

= ∗ ℎ = −148,515∗0,00252 = −0,4 = −0,0004 = ∗ ℎ = −148,515∗0,00269 = −0,4 = −0,0004

= ∗ ℎ = −148,515∗0,00626 = −0,9 = −0,001

CONTROL 1 : = + + + + = −0,003 = −3 =

ℎ = ℎ +

ℎ = ℎ + = −0,497 − 0,001 = −0,498

ℎ = ℎ + = −0,376 − 0,001 = −0,377

ℎ = ℎ + = −0,252 − 0,0004 = −0,252


5'. Calculul coordonatelor absolute ale punctelor de drumuire



5.1'. = +

= + = 1244,389+34,720 = 1279,109

= + = 1279,109+55,192 = 1334,301

= + = 1334,301+31,243 = 1365,544

= + = 1365,544 + −7,748 = 1357,795

= + = 1357,795+14,347 = 1372,142

5.2'. = +

= + = 7913,383+123,772 = 8037,155

= + = 8037,155 + 28,016 = 8065,171

= + = 8065,171 − 2,535 = 8062,636

= + = 8062,636 + 83,137 = 8145,773

= + = 8145,773 + 39,488 = 8185,261

5.3'.


6'. Calculul coordonatelor punctelor radiate



6.1'. Prelucrarea datelor i ataarea lor în carnetul de teren

Calculul unghiului de pant

αI = 100G − zI

6.1.1'. = 100 − 985841 = 14159

= 100 − 999175 = 00825 = 100 −1011074 = −11074

6.1.2'. = 100 − 959355 = 40645 = 100 − 949821 = 50179

6.1.3'. = 100 − 972545 = 27455 = 100 − 980238 = 19762 = 100 − 979492 = 20508

= 100

− 96

23

59

= 3

76

41

6.2'. Calculul distanelor orizontale. (reduse la orizont).

D = L ∗cosα

= · = 17,312 · 14159 = 17,312 · 0,999753 = 17,308 = · = 15,430 · 00825 = 15,430 · 0,999999 = 15,430


6.3'. Calculul unghiului mediu de orientare a staiei



6.3.1'.

= − + = − + +200

= 400

− +

= −71 ,4272+282 ,5922 = 211 , 1650 = 2111650

= 400 −218 ,7379+29 ,9078 = 211 , 1699 = 2111699


6.3.2'.



= − + = − + +200

= − +

= −217 ,9557+229 ,9078 = 11 ,9521 = 119521

= −382 ,8880+394 ,8449 = 11 ,9569 = 119569


6.3.3'.



= − + = − + −200

= 400 − +

= −67 ,2613+194 ,8449 = 127 , 5836 = 1275836

= 400 −378 ,3280+105 ,9164 = 127 ,5884 = 1275884


6.3.4'.



= − + = − + +200

= 400 − +

= −172 ,2969+305 , 9164 = 133 ,6195 = 1336195

= 400 −344 ,1941+77 ,8185 = 133 , 6244 = 1336244


6.4'. Calculul orientrilor ctre puncte (cu ajutorul unghiului mediu de orientare alstaiei)



6.4.1'.

= +

= + −400

= +

−400

= 152 ,4370+211 , 1666 = 363 , 6036 = 3636036

= 253 ,9750+211 ,1666−400 = 65 , 1416 = 651415




6.4.3'.


6.5'. Calculul coordonatelor relative (a creterii de coordonate)

6 5 1'



6.5.1'.

= ∗ cos

= ∗ cos = 17,308 ∗ cos363 ,6036 = 17,308 ∗ 0,840975= 14,556

= ∗ cos = 15,430 ∗ cos65 ,1416 = 15,430 ∗0,520601= 8,033

= ∗ cos = 10,864 ∗ cos166 ,9108 = 10,864 ∗ −0,867936= −9,429

= ∗ cos = 15,626 ∗ cos295 ,0875 = 15,626 ∗ −0,077089= −1,205

= ∗ cos = 6,416 ∗ cos101 ,9209 = 6,416 ∗ −0,030169= −0,194

= ∗ cos = 18,191 ∗ cos328 ,1715 = 18,191 ∗ 0,428215= 7,790

= ∗ cos = 24,249 ∗ cos52 ,3995 = 24,249 ∗ 0,679959

= 16,488

= ∗ cos = 24,794 ∗ cos150 ,6583 = 24,794 ∗ −0,714381= −17,712

= ∗ cos = 21 184 ∗ cos240 7149 = 21 184 ∗ 0 802366


6.5.2'. = ∗ sin



= ∗sin = 17,308 ∗ sin363 ,6036 = 17,308 ∗ −0,541074= −9,365

= ∗sin = 15,430 ∗ sin65 ,1416 = 15,430 ∗0,853800= 13,174

= ∗sin = 10,864 ∗ sin166 ,9108 = 10,864 ∗ 0,496675 = 5,396

= ∗sin = 15,626 ∗ sin295 ,0875 = 15,626 ∗ −0,997024

= −15,580 = ∗sin = 6,416 ∗ sin101 ,9209 = 6,416 ∗0,999545= 6,416

= ∗sin = 18,191 ∗ sin328

,1715 = 18,191 ∗ −0,903677= −16,439

= ∗sin = 24,249 ∗ sin52 ,3995 = 24,249 ∗0,733250= 17,781

= ∗sin = 24,794 ∗ sin150 ,6583 = 24,794 ∗0,699757= 17,350 = ∗sin = 21,184 ∗ sin240 ,7149 = 21,184 ∗ −0,596833= −12,643


6.5.3'. ℎ = ∗ tg



ℎ = ∗ t g = 17,308 ∗ tg1 ,4159 = 17,308 ∗0,022245= 0,385

ℎ = ∗ t g = 15,430 ∗ tg0 ,0825 = 15,430 ∗0,001296= 0,020

ℎ = ∗ t g = 10,864 ∗ tg−1 ,1074 = 10,864 ∗ −0,017397= −0,189

ℎ = ∗ t g = 15,626 ∗ tg4 ,0645 = 15,626 ∗0,063932

= 0,999 = ∗ t g = 6,416 ∗ tg5 ,0179 = 6,416 ∗0,078985= 0,507

ℎ = ∗ t g = 18,191 ∗ tg2 ,7455 = 18,191 ∗0,043153= 0,785 ℎ = ∗ t g = 24,249 ∗ tg1 ,9762 = 24,249 ∗0,031052= 0,753

ℎ = ∗ t g = 24,794 ∗ tg2 ,0508 = 24,794 ∗0,032225

= 0,799 ℎ = ∗ t g = 21,184 ∗ tg3 ,7641 = 21,184 ∗0,059195= 1,254


6.6'. Calculul coordonatelor absolute ale punctelor radiate

6 6 1'



6.6.1 .

= + = + = 1279,109 + 14,556 = 1293,665 = + = 1279,109 + 8,033 = 1287,142 = + = 1279,109 + −9,429 = 1269,680

=

+

= 1334,301 +−1,205

= 1333,096

= + = 1334,301 + −0,194 = 1334,107

= + = 1357,795 + 7,790 = 1365,585 = + = 1357,795 + 16,488 = 1374,283 = + = 1357,795 + −17,712 = 1340,083 = + = 1357,795 + −16,997 = 1340,798

6.6.2'. = +

= + = 8037,155 + −9,365 = 8027,790 = + = 8037,155 + 13,174 = 8050,329

= + = 8037,155 + 5,396 = 8042,551

= + = 8065,171 + −15,580 = 8049,591 = + = 8065,171 + 6,416 = 8071,587

= + = 8145,773 + −16,439 = 8129,334 = + = 8145,773 + 17,781 = 8163,554

= + = 8145,773 + 17,350 = 8163,123

= + = 8145,773 + −12,643 = 8133,130

6.6.3'.

CARNET DE TEREN

N R

. S T A I E

n l i m e i n s t r .

U N C T V I Z A T

LUNGIMI MSURATE UNGHIURI VERTICALE ( α ) UNGHIURI ORIZONTALE

OBSERVAII DIRECT

sau

INDIRECT

POZIIA I POZIIA II POZIIA I POZIIA II

e c i a ( c c )

αI(100-α) αII(α-300) Compensate



N Î n

P U

C o r e

( ) ( ) p

m mm g c cc g c cc g c cc g c cc c cc g c cc g c cc

1 2 3 4 5 6 7 8 9 10 11 12

1

2 253 55 72 53 55 62253 55 67

0253 55 67

3 103 14 37 303 14 29103 14 33

-3103 14 30

11 128 563100 24 51 299 75 31

-0 24 60 -0 24 63 159 63 49 359 63 50159 63 49

-6-0 24 51 -0 24 69 159 63 43

2 253 55 66 53 55 85 253 55 76 -9253 55 67

11

1 128 56799 75 39 300 24 74

0 24 67 0 24 63 71 42 70 271 42 7471 42 72

0

ω1 = 147G31C07CC

0 24 61 0 24 74 71 42 72

12 61 897100 38 36 299 61 73

-0 38 32 -0 38 66 218 74 00 18 73 78218 73 89

-10-0 38 36 -0 38 27 218 73 79

1 71 42 85 271 42 99

71 42 92

-2071 42 72

12

11 61 89499 61 02 300 39 03

0 39 00 0 38 66 217 95 54 17 95 59217 95 57

0

ω2 = 164G93C23CC

0 38 98 0 39 03 217 95 57

13 31 341100 51 80 299 48 25

-0 51 78 -0 51 23 382 88 70 182 88 74382 88 72

8-0 51 80 -0 51 75 382 88 80

11 217 95 49 17 95 32217 95 40

17217 95 57

13

12 31 34899 49 23 300 50 62

0 50 69 0 51 23 67 26 06 267 26 2067 26 13

0

ω3 = 311G06C67CC

0 50 77 0 50 62 67 26 13

14 83 51199 79 19 300 20 66

0 20 74 0 20 54 378 32 80 178 33 00378 32 90

-100 20 81 0 20 66 378 32 80

12 67 26 15 267 26 4867 26 32

-1967 26 13

14 13 83 503 100 20 43 299 79 78 -0 20 33 -0 20 54 172 29 60 372 29 77 172 29 69 0-0 20 43 -0 20 22 172 29 69

4 42 02699 05 93 300 94 28

0 94 17 0 94 78 344 19 30 144 19 63344 19 46

-50 94 07 0 94 28 344 19 41

N R

. S T A I E

n l i m e i n s t r .

U N C T V I Z A T


OBSERVAII DIRECT

sau

INDIRECT


e c i a ( c c )

αI(100-α) αII(α-300) Compensate



N Î n

P U

C o r e

( (

m mm c cc g c cc g c cc g c cc g c cc g c cc c cc

1 2 3 4 5 6 7 8 9 10 11 12 14 13 172 29 73 372 29 87

172 29 80-11

ω4 = 171G89

C72

CC

172 29 69

4

14 42 019100 95 30 299 04 54

-0 95 38 -0 94 78 183 01 84 383 02 04183 01 94

0-0 95 30 -0 95 46 183 01 94

5 296 87 06 96 87 26296 87 16

6296 87 22

6 91 83 27 291 83 53 91 83 40 1191 83 51

7 132 89 51 332 89 71132 89 61

17132 89 78

14 183 01 77 383 01 66183 01 72

22183 01 94

PUNCTELE RADIATE

N R

. S T A I E

Î n l i m e i n s t r .

P U N C T V I Z A T


OBSERVAII DIRECT

sau

INDIRECT


C o r e c i a ( c c )

αI(100-α) αII(α-300) Compensate m mm c cc g c cc g c cc g c cc g c cc g c cc c cc



Cm mm c cc g c cc g c cc g c cc g c cc g c cc c cc 1 2 3 4 5 6 7 8 9 10 11 12

11

111st. el.

17 312 98 58 41 152 43 701 41 59

112

c. apa15 430

99 91 75253 97 50

0 08 25

113

st.tel.10 866

101 10 74355 74 42

-1 10 74

12

121

c. can 15 658

95 93 55

283 13 384 06 45122

c. gaz6 439

94 98 2189 96 72

5 01 79

14

141lampadar

18 20897 25 45

194 55 042 74 55

142

hidrant24 261

98 02 38318 77 84

1 97 62

143

gaigar24 807

97 94 9217 03 72

2 05 08

144

c. tel.21 221

96 23 59107 09 38

3 76 41

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