lucrare monitorizarea 3d a cladirilor si terenurilor

7/29/2019 lucrare MONITORIZAREA 3D A CLADIRILOR SI TERENURILOR

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UNIVERSITATEA TEHNICA DE CONSTRUCTI BUCURESTI

FACULTATEA DE GEODEZIE

SPECIALIZAREA SCIPI

DISCIPLINA: MONITORIZAREA 3D A TERENURILOR SI CONSTRUCTIILOR

Student:

AROIU Paul Samson

Anul 2012-2013, Semestrul IGRUPA II


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A. PLANIMETRIE

n reeaua de urmrire a comportrii construc iilor din schia nr. 1 au fost efectuatemsuratori de direc ii i distane orizontale n dou etape: la etapa t0 i la etapa t1.

Se dau: coordonatele provizorii ale punctelor re elei;

direc ii msurate ntre p unctele de sprijin, i ntre punctele de sprijin i punctele obiect;

distan e orizontale msurate ntre punctele de sprijin i punctele obiect.


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Se cere:

1. calculul unghiului provizoriu de orientare al sta iilor, i al distan elor provizorii

2. formarea sistemului de ecua ii liniare3. normalizarea sistemului de ecua ii liniare

4. compensarea re elei ca o re ea liber n cele dou etape de msurtori

a. inversarea matricii normale

b. calculul parametrilor

c. calculul corec iilor

d. evaluarea preciziei msurtorilor n cele dou etape

5. realizarea testului global de congruen

6. localizarea punctelor deplasate


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REZOLVARE:

1. Calculul unghiului provizoriu de orientare al sta iilor, i al distan elor provizorii


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2. Formarea sistemului de ecua ii liniare


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Calclul coeficientilor pentru ecuatiile de directii:= 636620

Pct. X Y /tan/ctg cos/sin Dij[m]aij

[cc/mm]bij

[cc/mm] aij/bij bij/aij

S1 3009.2128 4975.0272 66.00739 0.5089450.4082 -10.871320 6.427577 -1.69136 -0.59124S2 3034.8676 5018.4186 1.69136 0.86080

25.6548 43.3914 0.59124S1 3009.2128 4975.0272 88.08145 0.18612

61.1591 -10.227358 1.937415 -5.27887 -0.18943S3 3020.5960 5035.1176 5.27887 0.98253 11.3832 60.0904 0.18943S1 3009.2128 4975.0272 115.73553 -0.24466

37.6549 -16.392863 -4.136459 3.96302 0.25233T1 3000.0000 5011.5377 -3.96302 0.96961

-9.2128 36.5105 -0.25233S1 3009.2128 4975.0272 117.66531 -0.2739433.6323 -18.204728 -5.185335 3.51081 0.28483T2 2999.9996 5007.3730 -3.51081 0.96175

-9.2132 32.3458 -0.28483S1 3009.2128 4975.0272 122.49966 -0.34611

26.6180 -22.438695 -8.277935 2.71066 0.36891T3 3000.0000 5000.0000 -2.71066 0.93819 -9.2128 24.9728 -0.36891S1 3009.2128 4975.0272 151.17151 -0.7200036.2104 -12.200896 -12.658410 0.96386 1.03750


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T4 2983.1414 5000.1563 -0.96386 0.69398 -26.0714 25.1291 -1.03750S2 3034.8676 5018.4186 266.00739 -0.50894

50.4082 10.871320 -6.427577 -1.69136 -0.59124S1 3009.2128 4975.0272 1.69136 -0.86080 -25.6548 -43.3914 0.59124S2 3034.8676 5018.4186 145.02051 -0.64969

21.9667 -22.031384 -18.828858 1.17009 0.85464S3 3020.5960 5035.1176 -1.17009 0.76020 -14.2716 16.6990 -0.85464S2 3034.8676 5018.4186 212.40391 -0.98108

35.5401 3.468080 -17.573808 -0.19734 -5.06730T1 3000.0000 5011.5377 0.19734 -0.19361 -34.8676 -6.8809 5.06730S2 3034.8676 5018.4186 219.53037 -0.95331

36.5757 5.256347 -16.592879 -0.31678 -3.15673T2 3000.0000 5011.5377 0.31678 -0.30199 -34.8676 -6.8809 3.15673S2 3034.8676 5018.4186 230.93887 -0.88421

39.4334 7.540638 -14.274915 -0.52824 -1.89306T3 3000.0000 5000.0000 0.52824 -0.46708 -34.8676 -18.4186 1.89306S3 3020.5960 5035.1176 288.08145 -0.18612

61.1591 10.227358 -1.937415 -5.27887 -0.18943S1 3009.2128 4975.0272 5.27887 -0.98253 -11.3832 -60.0904 0.18943S3 3020.5960 5035.1176 345.02051 0.64969

21.9667 22.031384 18.828858 1.17009 0.85464S2 3034.8676 5018.4186 -1.17009 -0.76020 14.2716 -16.6990 -0.85464S3 3020.5960 5035.1176 254.29358 -0.65785

31.3083 15.314559 -13.376590 -1.14488 -0.87346T1 3000.0000 5011.5377 1.14488 -0.75315 -20.5960 -23.5799 0.87346

S3 3020.5960 5035.1176 259.34599 -0.5960734.5539 14.793253 -10.981876 -1.34706 -0.74236T2 2999.9996 5007.3730 1.34706 -0.80294

-20.5964 -27.7446 0.74236S3 3020.5960 5035.1176 266.23217 -0.50590

40.7117 13.488604 -7.910885 -1.70507 -0.58649T3 3000.0000 5000.0000 1.70507 -0.86259 -20.5960 -35.1176 0.58649S3 3020.5960 5035.1176 240.12043 -0.80790

46.4122 8.083420 -11.081728 -0.72944 -1.37092T5 2983.0994 5007.7662 0.72944 -0.58931 -37.4966 -27.3514 1.37092S3 3020.5960 5035.1176 243.49331 -0.77556

37.0890 10.835564 -13.312270 -0.81395-

1.22857T6 2991.8312 5011.7044 0.81395 -0.63127 -28.7648 -23.4132 1.22857


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Calclul coeficientilor pentru ecuatiile de distante:

Pct. X Y /tan/ctg cos/sin Aij Bij Aij/Bij

S1 3009.2128 4975.0272 66.00739 0.508940.5089 0.860801 0.591242S2 3034.8676 5018.4186 1.69136 0.86080

25.6548 43.3914 0.59124S1 3009.2128 4975.0272 88.08145 0.18612

0.1861 0.982526 0.189435S3 3020.5960 5035.1176 5.27887 0.98253 11.3832 60.0904 0.18943S1 3009.2128 4975.0272 115.73553 -0.24466

-0.2447 0.969608 -0.252333T1 3000.0000 5011.5377 -3.96302 0.96961 -9.2128 36.5105 -0.25233S1 3009.2128 4975.0272 117.66531 -0.27394

-0.2739 0.961747 -0.284835T2 2999.9996 5007.3730 -3.51081 0.96175 -9.2132 32.3458 -0.28483S1 3009.2128 4975.0272 122.49966 -0.34611

-0.3461 0.938193 -0.368913T3 3000.0000 5000.0000 -2.71066 0.93819 -9.2128 24.9728 -0.36891S1 3009.2128 4975.0272 151.17151 -0.72000

-0.7200 0.693976 -1.037498T4 2983.1414 5000.1563 -0.96386 0.69398 -26.0714 25.1291 -1.03750S2 3034.8676 5018.4186 266.00739 -0.50894

-0.5089 -0.860801 0.591242S1 3009.2128 4975.0272 1.69136 -0.86080 -25.6548 -43.3914 0.59124S2 3034.8676 5018.4186 145.02051 -0.64969

-0.6497 0.760197 -0.854638S3 3020.5960 5035.1176 -1.170090.76020 -14.2716 16.6990 -0.85464

S2 3034.8676 5018.4186 212.40391 -0.98108-0.9811 -0.193610 5.067302T1 3000.0000 5011.5377 0.19734 -0.19361

-34.8676 -6.8809 5.06730S2 3034.8676 5018.4186 219.53037 -0.95331

-0.9533 -0.301993 3.156732T2 3000.0000 5011.5377 0.31678 -0.30199 -34.8676 -6.8809 3.15673S2 3034.8676 5018.4186 230.93887 -0.88421

-0.8842 -0.467081 1.893065T3 3000.0000 5000.0000 0.52824 -0.46708 -34.8676 -18.4186 1.89306S3 3020.5960 5035.1176 288.08145 -0.18612

-0.1861 -0.982526 0.189435S1 3009.2128 4975.0272 5.27887 -0.98253 -11.3832 -60.0904 0.18943S3 3020.5960 5035.1176 345.02051 0.64969

0.6497 -0.760197 -0.854638S2 3034.8676 5018.4186 -1.17009 -0.76020 14.2716 -16.6990 -0.85464S3 3020.5960 5035.1176 254.29358 -0.65785 -0.6578 -0.753153 0.873456


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T1 3000.0000 5011.5377 1.14488 -0.75315 -20.5960 -23.5799 0.87346S3 3020.5960 5035.1176 259.34599 -0.59607

-0.5961 -0.802936 0.742357T2 2999.9996 5007.3730 1.34706 -0.80294 -20.5964 -27.7446 0.74236S3 3020.5960 5035.1176 266.23217 -0.50590

-0.5059 -0.862593 0.586487T3 3000.0000 5000.0000 1.70507 -0.86259 -20.5960 -35.1176 0.58649S3 3020.5960 5035.1176 240.12043 -0.80790

-0.8079 -0.589315 1.370921T5 2983.0994 5007.7662 0.72944 -0.58931 -37.4966 -27.3514 1.37092S3 3020.5960 5035.1176 243.49331 -0.77556

-0.7756 -0.631271 1.228572T6 2991.8312 5011.7044 0.81395-0.63127

-28.7648 -23.4132 1.22857

3. Normalizarea sistemului de ecua ii liniare


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4. compensarea re elei ca o re ea liber n cele dou etape de msurtori 4.1. inversarea matricii normale


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Etapa 1Calculul coordonatelor reduse la centrul de greutate

Punct X [m] Y [m] X m [m] Ym [m] X o [m] Yo [m]S1 3009.2128 4975.0272

3002.5276 5007.4557

6.6852 -32.4285S2 3034.8676 5018.4186 32.3400 10.9629

S3 3020.5960 5035.1176 18.0684 27.6619T1 3000.0000 5011.5377 -2.5276 4.0820T2 2999.9996 5007.3730 -2.5280 -0.0827T3 3000.0000 5000.0000 -2.5276 -7.4557T4 2983.1414 5000.1563 -19.3862 -7.2994T5 2983.0994 5007.7662 -19.4282 0.3105T6 2991.8312 5011.7044 -10.6964 4.2487

control: 0.0000 0.0000


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4.2. calculul parametrilor


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Etapa 0-0.1094

10.19680.8273

20.2323

0.61633

-0.7249-0.643310.6648

X= 0.245721.0568

-0.402631.0230

1.318442.0894

-2.17945-2.7807

0.3270 6-1.7575

Control

0.0000

GT*X= 0.00000.00000.0000

Etapa 1

3.3323 S1

-0.09180.4783

S2X= -2.0126

1.7560 S3-2.9753-1.1717

T10.2666

-0.6716T2

1.3808

-1.9128 T32.1689

10.1260T4

-4.6189-7.3936

T54.3218

-4.5429T6

1.5606

Control

0.0000

GT*X= 0.00000.0000

0.0000


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4.3. calculul corec iilor


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Etapa 0


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Etapa 0

unctX

[m]Y

[m]d

X [mm]dY

[mm]Xo

[m]Yo

[m]

130

09.212849

75.0272-

0.10940.1

96830

09.212749

75.0274

230

34.867650

18.41860.

82730.2

32330

34.868450

18.4188

330

20.596050

35.11760.

6163-

0.724930

20.596650

35.1169

130

00.000050

11.5377-

0.64330.6

64829

99.999450

11.5384

229

99.999650

07.37300.

24571.0

56829

99.999850

07.3741

330

00.000050

00.0000-

0.40261.0

23029

99.999650

00.0010

429

83.141450

00.15631.

31842.0

89429

83.142750

00.1584

529

83.099450

07.7662-

2.1794-

2.780729

83.097250

07.7634

629

91.831250

11.70440.

3270-

1.757529

91.831550

11.7026


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Etapa 1

Punct X [m] Y [m] dX [mm] dY [mm] Xo [m] Yo [m]S1 3009.2128 4975.0272 3.3323 -0.0918 3009.2161 4975.0271S2 3034.8676 5018.4186 0.4783 -2.0126 3034.8681 5018.4166S3 3020.5960 5035.1176 1.7560 -2.9753 3020.5978 5035.1146T1 3000.0000 5011.5377 -1.1717 0.2666 2999.9988 5011.5380T2 2999.9996 5007.3730 -0.6716 1.3808 2999.9989 5007.3744T3 3000.0000 5000.0000 -1.9128 2.1689 2999.9981 5000.0022T4 2983.1414 5000.1563 10.1260 -4.6189 2983.1515 5000.1517T5 2983.0994 5007.7662 -7.3936 4.3218 2983.0920 5007.7705T6 2991.8312 5011.7044 -4.5429 1.5606 2991.8267 5011.7060


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4.4. evaluarea preciziei msurtorilor n cele dou etape Etapa 0 Etapa 1

pvv= 388.930697 pvv= 559.884928

s01 = 4.5244 [cc]s02 = 5.4284 [cc]


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5. Realizarea testului global de congruen


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dT*Q dd+*d= 4989.3404

s01 = 4.5244 [cc]

s0= 7.1848 [cc]

s02 = 5.5813 [cc]

F= 6.9037762

Fteoretic = 2.2804658


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6. Localizarea deformatiilor


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REZOLVARE:

dt*Qdd+*d= 3874.328h= 15F= 6.304

Flim= 1.954

F>F limAvem

deformatii

Localizareadeformatiilor

a) testulstudent

t lim= 2.028Pct sj tj Concluzie

S1 2.021 -1.894 > t lim2.204 0.585 < t lim

S2 1.988 -0.387 < t lim0.964 0.963 < t lim

S3 2.109 -0.638 < t lim1.556 0.154 < t lim


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T1 1.674 0.656 < t lim1.385 -0.126 < t lim

T2 1.618 0.861 < t lim1.412 -0.523 < t lim

T3 1.590 1.196 < t lim1.544 -0.796 < t lim

T4 5.599 0.183 < t lim5.505 -0.212 < t lim

T5 6.663 0.119 < t lim4.906 0.039 < t lim

T6 6.270 -0.043 < t lim5.271 0.125 < t lim

b) testul statistic multiplu F

F lim= 3.259Punct F Comparatie Concluzie

S1 14.665 >F limS2 1.339 t limR4 0.224 -2.894 > t limM1 0.117 -1.414 > t limM2 0.096 -0.944 > t limM3 0.159 0.123 < t limM4 0.196 0.154 < t limM5 0.206 1.894 > t limM6 0.169 2.602 > t limM7 0.149 2.513 F limM1 0.92M2 0.42M3 0.01M4 0.01M5 3.06 >F limM6 6.81 >F lim

M7 2.82M8 1.10

lucrare monitorizarea 3d a cladirilor si terenurilor

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