lucrare MONITORIZAREA 3D A CLADIRILOR SI TERENURILOR
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Transcript of 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