surveying-chapter7
DESCRIPTION
Surveying handoutTRANSCRIPT
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1
Triangulation Trilateration
1.
2.
3.
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2
1.
2.
3.
1. A,B C,D,E,F
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3
1.
r124(2)=4
ABFBCFCEFCDE
180r
r84(2)=0
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4
2.
AB
CDEF
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5
2.
r164(2)=8
(1) ABCBCFCFACFDCDEDEF
180
(2) ABBCCFFAAB
AB
62=8=r
18sin6sin4sin2sin
7sin5sin3sin1sin
116sin14sin12sin10sin
15sin13sin11sin9sin
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6
2.
r104(2)=2
(1) ABCABFCF
(2) CFDCFEDE
2=r
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7
3.
AB
CDEF
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8
3.
r154(2)=7
(1) 5AFBBFCCFDDEFEFA
180
(2) 111+12+13+14+15=360
(3) AFBFCFDFEFAF
511=7=r
110sin8sin6sin4sin2sin
9sin7sin5sin3sin1sin
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9
3.
r94(2)=1
ABFBFCCFDDFEAE
1=r
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10
1. RedundancyConstraint
2.
3
1+2+3+4=180(1)
3+4+5+6=180(2)
5+6+7+8=180(3)
1+2+7+8=180(4)
1+2+3+4+5+6+7+8=360(5)
(4)=(1)-(2)+(3)
(5)=(1)+(3)
3(1)(2)(3)
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11
3.
r=7-4=3
(1)
1+2+3+4=180
3+4+5+6=180
(2)
765180sin6sin4sin2sin7sin5sin3sin1sin
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12
r=148=6
(1)
1+2+10=180
3+4+11=180
5+6+12=180
7+8+13=180
(2)
10+11+12+13+14=360
(3)
914180sin8sin6sin4sin2sin9sin7sin5sin3sin1sin
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13
r=98=1
ABCABF
CF
4. 0
Least Squares AdjustmentLSA
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14
5. LSA
LSA
LSAr0
6. Dells Method
Dells MethodLSA
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15
7. /
8. /LSA
9. /
10.
(1)
(2)
11.
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16
/
AB
CC
( ) ( )
AB
= ( )
( )
AC
BC ACd BCd
AC BC
ACd
BCd
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17
Distance Angle
AB
AC
ABAB
0180
90
ACd
sinsin
ABAC sin/sin ABAC
sin/cos
AB
AC
2sin
cossin
AB
AC
2
1
2
2
2
22
sin
cossinsin/cos
ABABAC
ACAC
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18
= = =
k=1
k>>1
r(=1)
AC
kdd
180
180
2
1
2
r
1803
1
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19
(1) C
(2)
(3) AB
AC AC
AC
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20
AB
C
C
C
11 dd
22 dd
1d AC 2d BC
1d
2d
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21
cos=
cos2 312
3
2
1
2
2 ddddd
222321312
1cos ddd
dd
31222321 2/ ddddd
222
2
21
2
2
2
2 1/
1
1
2
2
2
2
2
1
2
21 dd dd
3
2
1
2
2
2
1
3
31 222
1
dd
d
d
d
dd
31
2
2 dd
d
d
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22
case1.
=100.000m 100.000m 199.990m
= =0.010m 0.000m
case2.
=100.000m 100.000m 0.010m
= =0.010m 0.000m
case3.
=100.000m 100.000m 141.421m
= =0.010m 0.000m 1d
1d
1d
1d
1d
1d
2d
2d
2d
2d
2d
2d
3d
3d
3d
3d
3d
3d
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X Y (m) (m)
Case1 00-24-18.5 0.010 0.707
Case2 81-01-42.5 141.421 0.012
Case3 00-00-20.6 0.010 0.010
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case1.
Rad=00-24-28
9995.010099.1992/10010099.199 222
3
2
2
2
3
2
1
2
2
2
1
3
31
1099925.4
99.1991002
100
1002
99.199
99.1992
1
222
1
dd
d
d
d
dd
3
31
2
2
1000025.599.199100
100
dd
d
d
10232322 10995.491000025.51025.999.401.0 5210222 1099962.499995.01/10995.491/
2107071.0
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25
case1.
m
m
cos1 dX cos1
d
X
sin1
d
X
221222 sincos1
ddX
422422 1001.01010001.099995.0 010.0X
sin1 dY sin1
d
Y
sin1d
Y
221222 cossin1
ddY
49991.010 99962.4 99995.010001.010 52224
7070.0Y
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26
case2.
Rad=81-01-42.5
-5222 1050.011002/1000.01100
100
0.011002
100
1002
0.01
0.012
1
222
12
2
2
3
2
1
2
2
2
1
3
31
dd
d
d
d
dd
1000.01100
100
31
2
2
dd
d
d
210010001.0 2222
2.0000Rad10251/21/ -10222 1.414
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27
case2.
m
m
cos1 dX cos1
d
X
sin1
d
X
221222 sincos1
ddX
200002.0000110010105 222-25- 141.421X
sin1 dY sin1
d
Y
sin1d
Y
221222 cossin1
ddY
4-25-22 101.5 2.0000 105 10001.01 012.0Y
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28
case3.
Rad=00-00-20.6
2
121000012/1002100100 2
22
0
20011002
100
1002
2001
20012
1
222
12
2
2
3
2
1
2
2
2
1
3
31
dd
d
d
d
dd
2100
1
2100100
100
31
2
2
dd
d
d
82
222 102
1
2100
1001.0
Rad102
11/10
2
11/ 8
2
8222
-410
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case3.
m
m
cos1 dX cos1
d
X
sin1
d
X
221222 sincos1
ddX
48-2
2
2
10102
110001.0
2
1
010.0X
sin1 dY sin1
d
Y
sin1d
Y
221222 cossin1
ddY
4-8-2
2
2
1010 2
110001.0
2
1
010.0Y
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30
1. C
2.
3.
4.
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31
1.
2.
3.
4.
5.
6.
7.
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32
1. 1. 2.
1. 2.
2. 1. 2.
1. EDM
3. 1. 2.
1. 2. GPS
4.
1. 1. GPS
5. 1. GPS()