Proiect de parcelare

S

V

UNGHIURI

ORIZONTALE

UNGHIURI

VERTICALE

DISTANTE INCLINATE

“l”

DATE

PERSONALE

MASURATE

PERSONALE

X₁=1000

Y₁=1000

Z₁=600

n=1,25

_1,2=250

Am calculate datele personale cu formula:

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

S

V

UNGHIURI ORIZONTALE

ORIENTARI

UNGHIURI VERTICALE

DISTANTE

COORDONATE RELATIVE

COORDONATE ABSOLUTE

INCLINATE

l

REDUSE

d

∆_X

∆_Y

∆_Z

X

Y

Z

102,91m

102,75m

-72,65m

-72,73m

+5,64m

78,41m

78,36m

-77,4m

+12,09m

-2,64m

79,86m

79,76m

-20,65m

+76,95m

+3,83m

73,56m

73,52m

+52,7m

+51,18m

-2,14m

75,78m

75,77m

+74,32m

+14,63m

-0,50m

93,03m

92,93m

+43,68m

-82,12m

-4,19m

CONTROL

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

Rezulta Σα=+0 , e = -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= _{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. si ∆_Y= d x sin.

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

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

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

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

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

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

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

D_5,2=

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

tgθ_5,2= ∆y/∆x=

tgθ_5,4= ∆y/∆x=

d

sin α

s

l

CALCULE

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

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

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

P

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

Nr.

punct

coordonate

COORDONATE

FORMULE SI CALCULE

X

Y

P

tgθ_P,2= ∆y/∆x=

θ_P,2 = 323.40

tgθ_4,3= ∆y/∆x=

Nr.

Pct.

X

Valori naturale

Y

P

tg 323.40 = -2,596957

R

tg 216.69 = +0,268342

tg 323.40 = -2,596957

R

tg 216.69 = +0,268342

P

tg 323.40 = -2,596957

T

tg 216.69 = +0,268342

tg 323.40 = -2,596957

T

tg 216.69 = +0,268342

Nr.

punct

coordonate

COORDONATE

REZULTATE

X

Y

D_3,T = B= 68,25m

T

D_4,R = b = 60,08m

R

D_3,4 = H = 79,67m

R

D_R,T = L = 80,13m

T

Nr.

punct

coordonate

COORDONATE

REZULTATE

X

Y

S_2,T,3 = 1082,76m²

T

S_3,4,R,T = 5103,37m²

R

T

S_4,R,P = 942,01m²

P

R

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 h₁ 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

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

L₂

L₃

L₄

= 116.69

cos. sin.

xH₁ = x₃ +l₁ * cos. yH₁ = y₃ +l₁ * sin.

xH₂ = x₃ +(l₁ +l₂) * cos. yH₂ = y₃ +(l₁ +l₂) * sin.

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

xH₄ = x₃ + (l₁ +l₂ + l₃ + l₄ ) * cos. yH₄ = y₃ +(l₁ +l₂ + l₃ + l₄ ) * sin.

H₁

H₂

H₃

H₄

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)