Proiect de parcelare

S

V

UNGHIURI

ORIZONTALE

α

UNGHIURI

VERTICALE

φ

DISTANTE INCLINATE

“l”

DATE

PERSONALE

MASURATE

PERSONALE

0

1

2

3

4

5

6

1

6

1

118.88

+3.48

82.33

102,91

X₁=1000

Y₁=1000

Z₁=600

 n=1,25

 θ_1,2=250

Am calculate datele personale cu formula:

l_pers.=l x n si rezulta datele din coloana 5

2

1

3

140.09

-2.17

62.73

78,41

3

2

4

126.63

+3.04

63.89

79,86

4

3

5

132.46

-1.88

58.85

73,56

5

4

6

163.34

-0.44

60.63

75,78

6

5

1

118.72

-2.89

74.43

93,03

S

V

UNGHIURI ORIZONTALE

α

ORIENTARI

θ

UNGHIURI VERTICALE

φ

DISTANTE

COORDONATE RELATIVE

COORDONATE ABSOLUTE

INCLINATE

l

REDUSE

d

∆_X

∆_Y

∆_Z

X

Y

Z

0

1

2

3

4

5

6

7

8

9

10

11

12

1

6

2

118.88-

0.02

118.86

250

+3.48

102,91m

102,75m

-72,65m

-72,65+

0,08

-72,73m

+5,62+

0,02

+5,64m

1000

1000

600

2

1

3

140.09-

0.02

140.07

190.07

-2.17

78,41m

78,36m

-77,4m

+12,17-

0,08

+12,09m

-2,67+

0,03

-2,64m

927,35

927,27

605,64

3

2

4

126.63-

0.02

126.61

116.68

+3.04

79,86m

79,76m

-20,65m

+77,03-

0,08

+76,95m

+3,81+

0,02

+3,83m

849,95

939,36

603,0

4

3

5

132.46-

0.02

132.44

49.12

-1.88

73,56m

73,52m

+52,7m

+51,26-

0,08

+51,18m

-2,17+

0,03

-2,14m

829,3

1016,31

606,83

5

4

6

163.34-

0.02

163.32

12.44

-0.44

75,78m

75,77m

+74,32m

+14,71-0,08

+14,63m

-0,52+

0,02

-0,50m

882,0

1067,49

604,69

6

5

1

118.72-

0.02

118.70

331.14

-2.89

93,03m

92,93m

+43,66+

0,02

+43,68m

-82,04-

0,08

-82,12m

-4,22+

0,03

-4,19m

956,32

1082,12

604,19

CONTROL

Am calculat suma unghiurilor dintr-un poligon cu formula: Σα=(n-2)*200.

Rezulta Σα=+0,12, e_α= -0,02. Am corectat toate unghiurile orizontale cu

aceasta valoare.

La θ_6,1am adunat valoarea unghiului α_1,2 si trebuie sa de valoarea lui θ_1,2 (331,14+200+118,86= 650 – 400= 250)

Am calculat orientarile cu formula: θ_2,3= θ_1,2 +/- 200 + α_{2,3 corectat.}

Am calculat distantele reduse la orizontala cu formula: d = l x cos.α.

Rezultatele le-am trecut in coloana 6.

Am calculat ∆_X si ∆_Y cu formula: ∆_X= d x cos. θ si ∆_Y= d x sin.θ

Am calculat ∆_z cu formula ∆_z= l x sin.φ

Am calculat Σ∆_X, Σ∆_y, si  Σ∆_z  si am executat corectiile respective.

Σ∆_X= -0,02m; Σ∆_y = +0,48m/6=-0,08m; Σ∆_z = - 0,15m /6= +0,025m

Verificare coordonate X: 956,32 + 43,68 = 1000

Verificare coordonate Y: 1082,12- 82,12 = 1000

Verificare inaltime Z = 604,19 – 4,19 = 600

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

1

1000

1000

2S= ΣX_i(Y_i+1- Y_i+1)    =>    2S = - 35644,36m²

2S= ΣY_i(X_i+1- X_i+1)    =>    2S = + 35644,36 m²

S=17822,18 m²

S=1,782218 ha

2

927,35

927,27

3

849,95

939,36

4

829,3

1016,31

5

882,0

1067,49

6

956,32

1082,12

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

1

1000

1000

S_A = (S x 3)/ 5 = (17822,18 x 3)/5 = 10693,308

S_B = (S x 2)/ 5 = (17822,18 x 2)/5 = 7128,872

S_1,6,5,2= 10113,74

s = S_A – S_1,6,5,2 = 10693,308 – 10113,74 = 579,56 m²

6

956,32

1082,12

5

882,0

1057,49

2

927,35

927,27

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

5

882,0

1067,49

D_5,2=     ∆X5,2²  + ∆Y5,2²  =       21718,2709  = 147,37

D_5,2= 147,37

2

927,35

927,27

∆

+45,35

-140,22

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

5

882,0

1067,49

tgθ_5,2= ∆y/∆x= -140,22/ +45,35 = - 3,0919

θ_5,2 = 319.91

2

927,35

927,27

∆

+45,35

-140,22

5

882,0

1067,49

tgθ_5,4= ∆y/∆x= -51,18/ -52,27 = +0,9711

θ_5,4 = 249.06

4

829,3

1016,31

∆

- 52,27

- 51,18

α = θ_5,2 - θ_5,4 = 319.91 – 249.06 = 70.85

d

α

sin α

s

l

CALCULE

147,37

70.85

0,8969885

579,56m²

8,7686m

l = 2 s / d sin α = 2 x 579.56/ 147.37 x 0.8969885 = 8,7686

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

5

882,0

1067,49

X_p = X₅ + l * cos. θ_5,4 = 882,0 + (8,7686 x -0,7174) = 875,7

Y_p = Y₅ + l * sin. θ_5,4  = 1061,38 + (8,7686 x -0,6965) = 1061,38

P

875,7

1061,38

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

P

875,7

1061,38

2S = Σ x_i ^* (y_i+1 – y_i-1) = 7128,42m²

S_B = 7128,87m²

La o diferenta de 0,45m² calculele sunt foarte bune

4

829,3

1016,31

3

849,95

939,36

2

927,35

927,27

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

P

875,7

1061,38

tgθ_P,2= ∆y/∆x= -134,11/ +51,65 = - 2,5965

θ_P,2 = 323.40

2

927,35

927,27

∆

+51,65

-134,11

4

829,3

1016,31

tgθ_4,3= ∆y/∆x= -76,95/ +20,65 = - 3,7084

θ_4,3 = 316.69

3

849,95

939,36

∆

+ 20,65

- 76,95

Nr.

Pct.

X

Valori naturale

Y

θ

1

P

875.7

tg 323.40 = -2,596957

1061.38

323.40

R

887.08

1031.82

2

4

829.3

tg 216.69 = +0,268342

1016.31

216.69

1

2

927.35

tg 323.40 = -2,596957

927.27

323.40

R

887.08

1031.82

2

4

929.3

tg 216.69 = +0,268342

1016.31

216.69

1

P

875.7

tg 323.40 = -2,596957

1061.38

323.40

T

915.87

957.06

2

3

849.95

tg 216.69 = +0,268342

939.36

216.69

1

2

927.35

tg 323.40 = -2,596957

927.27

323.40

T

915.87

957.06

2

3

849.95

tg 216.69 = +0,268342

939.36

216.69

Nr.

punct

coordonate

COORDONATE

REZULTATE

X

Y

3

849,95

939,36

D_3,T = B= 68,25m

T

915,87

957,06

∆

+65,92

+17,7

4

829,3

1016,31

D_4,R = b = 60,08m

R

887,08

1031,82

∆

+58,05

+15,51

4

829,3

1016,31

D_3,4 = H = 79,67m

3

849,95

939,36

∆

+20,65

-76,95

R

887,08

1031,82

D_R,T = L = 80,13m

T

915,88

957,04

∆

+28,8

-74,78

Nr.

punct

coordonate

COORDONATE

REZULTATE

X

Y

2

927,35

927,27

S_2,T,3 = 1082,76m²

T

915,88

957,04

3

849,95

939,36

3

849,95

939,36

S_3,4,R,T = 5103,37m²

4

829,3

1016,31

R

887,08

1031,83

T

915,88

957,04

4

829,3

1016,31

S_4,R,P = 942,01m²

P

875,7

1061,38

R

887,08

1031,83

Control: S_2,T,3 + S_3,4,R,T + S_4,R,P = 7128,14

S_B = 7128,87

A rezultat o diferenta de 0,73m² datorita rotunjirilor ce s-au executat pe timpul calculelor.

Elemente de parcelare:                                                 

                                                                                                   s = S_B / 5 = 1425,684m²

B = 68,25

                              n = 2(B-b)/ H = 0,205                                  s₁ = s – S_2,T,3 = 342,924m²

b = 60.08

                                                                                                   s₂ = s₃ = s₄ = s = 1425,684m²

H = 79,67

                              m = 1 / B-b = 0,1224                                   s₅ = s – S_R,P,4 = 483,676m²

L = 80.13

Formule de calcul:

b₁ =     B²  -  n  *   s₁                 h₁ = m * H( B – b₁)            l₁ = m * L( B – b₁ )

b₂ =     b₁²  -  n *   s₂               h₂ = m * H( B – b₂ )           l₂ = m * L( b₁ – b₂ )

b₃ =     b₂² - n *     s₃               h₃  = m * H( B – b₃ )          l₃ = m * L( b₂ – b₃ )

b₄ =     b₃² - n *     s₄               h₄ = m * H( B – b₄ )          l₄ = m * L( b₃ – b₄ ) 

b₅ =     b₄² - n *     s₅                  h₅  = m * H( B – b₅ )          l₅ = m * L( b₄ – b₅ )           

Rezultate:

b₁ = 67,73                             h₁ = 5,07                           l₁ = 5,1

b₂ = 65,53                             h₂ = 21,45                         l₂ = 21,58

b₃ = 63,26                             h₃ =22,14                          l₃ = 22,26

b₄ = 60,90                             h₄ = 23.01                         l₄ = 23,14

b₅ = 60,08                             h₅ = 7,99                           l₅ = 8.04

Elemente de control:

b₅ = b                                              Σ h₁ – h₅ = H                           Σ l₁ – l₅ = L

b₅ = 60,08 m                               Σ h₁ – h₅ = 79,66m                   Σ l₁ – l₅ = 80,12m

b = 60,08  cm                                   H = 79,67m                            L = 80,13m

e = 0                                                     e = 1cm                                  e = 1cm

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

T

915,87

957,06

θ_T,R = 123.40

cos. θ_T,R = -0,3593                                                                                                                            sin. θ_T,R = +0,9332

xL₁ = x_T +l₁ * cos. θ_T,R = 914,04                                        yL₁ = y_T +l₁ * sin. θ_T,R = 961,81

xL₂ = x_T +(l₁ +l₂) * cos. θ_T,R = 906,29                                yL₂ = y_T +(l₁ +l₂) * sin. θ_T,R = 981,95

xL₃ = x_T + (l₁ +l₂ +l₃) * cos. θ_T,R = 898,29                          yL₃ = y_T +(l₁ +l₂ +l₃)  * sin. θ_T,R = 1002,73

xL₄ = x_T + (l₁ +l₂ + l₃ + l₄ ) * cos. θ_T,R = 889,98                 yL₄ = y_T +(l₁ +l₂ + l₃ + l₄ )  * sin. θ_T,R = 1024,32

L₁

914,04

961,81

L₂

906,29

981,95

L₃

898,29

1002,73

L₄

889,98

1024,32

3

849,95

939,36

θ_3,4 = 116.69

cos. θ_3,4 = -0,2592                                                                                                                                sin. θ_3,4 = 0,9658

xH₁ = x₃ +l₁ * cos. θ_3,4 = 914,04                                        yH₁ = y₃ +l₁ * sin. θ_3,4 = 961,81

xH₂ = x₃ +(l₁ +l₂) * cos. θ_3,4 = 906,29                                yH₂ = y₃ +(l₁ +l₂) * sin. θ_3,4 = 981,95

xH₃ = x₃ + (l₁ +l₂ +l₃) * cos. θ_3,4 = 898,29                          yH₃ = y₃ +(l₁ +l₂ +l₃)  * sin. θ_3,4 = 1002,73

xH₄ = x₃ + (l₁ +l₂ + l₃ + l₄ ) * cos. θ_3,4 = 889,98                 yH₄ = y₃ +(l₁ +l₂ + l₃ + l₄ )  * sin. θ_3,4 = 1024,32

H₁

848,64

944,25

H₂

843,08

964,97

H₃

837,34

986,35

H₄

831,38

1008,58

S_2,3,H1,L1 = 1428,037m² (+2,263m² );                     S_H1,H2,L2,L1 = 1428,395m² (+2,621m²);                 S_H2,H3,L2,L3 = 1423,238m²(-2,536m²);                              S_H3,H4,L4,L3 = 1424,258m²(-1,516m²);                    S_H4,4,P,L4 = 1424,450m²(-1,324m²)