Lecture 10B--Area Computation Techniques and Omitted Measurements
-
Upload
andreamiccabautista -
Category
Documents
-
view
218 -
download
0
Transcript of Lecture 10B--Area Computation Techniques and Omitted Measurements
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
1/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 1
OMITTED
MEASUREMENTS
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
2/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 2
Omitted Measurements
• When it is not practical or possible to determinethe length or direction of a line by field
observation
•
Missing quantities should not exceed 2 in number • Assumption is that observed values are without
error
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
3/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 3
Common Types
of Omitted Measurements
2. Omitted measurements involving 2 adjoining sides
1st CASE: Length of 1 side & direction of another side
unknown2nd CASE: Lengths of 2 sides unknown
3rd CASE: Directions of 2 sides unknown
1. Length and direction of 1 side unknown
3. Omitted measurements involving 2 Non-
adjoining sides
1st CASE: Length of 1 side & direction ofanother side unknown
2nd CASE: Lengths of 2 sides unknown
3rd CASE: Directions of 2 sides unknown
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
4/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 4
Common Types
of Omitted Measurements
2. Omitted measurements involving 2 adjoining sides
1st CASE: Length of 1 side & direction of another side
unknown2nd CASE: Lengths of 2 sides unknown
3rd CASE: Directions of 2 sides unknown
1. Length and direction of 1 side unknown
3. Omitted measurements involving 2 Non-
adjoining sides
1st CASE: Length of 1 side & direction ofanother side unknown
2nd CASE: Lengths of 2 sides unknown
3rd CASE: Directions of 2 sides unknown
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
5/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 5
Example:Given the ff sketch and data for a closed traverse, determine the
length and bearing of unknown side FA
LINE LENGTH BEARING AB 733.75 N 76-18 E
BC 598.23 N 23-20 W
CD 415.05 S 61-35 W
DE 511.38 N 57-00 W
EF 395.06 S 32-45 WFA ________ ________ 710.88 S 48-25 E
A
B
C
D
E
F
Omitted Measurements
Length and direction of 1 side unknown (TYPE 1)
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
6/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 6
Omitted Measurements
Involving 2 Adjoining Sides (TYPE 2)
1
st
CASE: Length of 1 side & direction of another side unknownExample:
Given the ff sketch and data for a closed traverse, determine the
omitted measurements of lines DE and EA
LINE LENGTH BEARING
AB 1084.32 S 75-48 E
BC 1590.51 S 15-18 W
CD 1294.74 S 68-06 W
DE _________ N 28-39 WEA 1738.96 _________
A
B
C
D
E
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
7/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 7
A
B
C
D
E
Omitted Measurements Involving 2 Adjoining Sides1st CASE: Length of 1 side & direction of another side unknown
Solving for the closing line:
Lda = 2353.48m
da = N 14-01 E
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
8/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 8
Omitted Measurements Involving 2 Adjoining Sides1st CASE: Length of 1 side & direction of another side unknown
Determining the bearing of line DE and length of line EA:
Unknown Length
Summation of Angles at D:
Angle D = 42-40
By Sine Law:
Angle E = 66-31
Since of angles = 180o :
Angle A = 70-49
About station E:
bEA = N 84-50 E
By Sine Law:
DE = 2423.52m
A
D
E
B
C
A
D
E
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
9/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 9
Omitted MeasurementsInvolving 2 Non-adjoining Sides (TYPE 3)
2
nd
CASE: Lengths of 2 sides unknownExample:
Given the ff sketch and data for a closed traverse, determine the
omitted measurements of non-adjoining sides BC and EF
LINE LENGTH BEARINGAB 620.06 S 87-30 E
BC ________ N 30-30 E
CD 691.56 S 42-45 E
DE 688.48 S 60-40 W
EF ________ N 74-05 W
FA 412.35 N 07-02 E
C
BA
D
E
F
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
10/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 10
Omitted Measurements Involving 2 Non-adjoining Sides2nd CASE: Lengths of 2 sides unknown
C
D
E
bc
ef
Draw an equivalent transformed figure!
abC
BA
D
E
F
fa
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
11/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 11
C
D
E
bc
ef
Side BC
(Unknown Length)
Side EF
(Unknown Length)
Omitted Measurements Involving 2 Non-adjoining Sides2nd CASE: Lengths of 2 sides unknown
ab
Determining the length and bearing of the closing line CL
DepCL= -Sdep = -539.18m
LatCL= -Slat = +462.91m
Therefore, dCL=710.63 m and bCL = N 49-21 W
fa
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
12/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 12
Omitted Measurements Involving 2 Non-adjoining Sides2nd CASE: Lengths of 2 sides unknown
Determining lengths of sides BC and EF
1
3
2
bc
Side BC
(Unknown Length)
ef
Side EF
(Unknown Length)
710.63 m
Closing Line
Angle 1= bBC+bCL=79-51
Angle 2= bEF - bCL=24-44
Angle 3=
180-(angle1+angle2)=75-25
By Sine Law:
BC = 307.22 m (length of side BC)
EF = 722.80 m (length of side EF)
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
13/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 13
For the other cases of Types 2 &3 of Omitted Measurements, consult
Elementary Surveying, 3rd Ed by Juny Pilapil La Putt, pp. 431-458
The said cases can be solved by following the procedures we have
discussed in this lecture.
WHAT ABOUT THE OTHER CASES OF TYPES 2 & 3?
-
8/15/2019 Lecture 10B--Area Computation Techniques and Omitted Measurements
14/14
Department of Geodetic EngineeringTraining Center for Applied Geodesy and Photogrammetry GE 10 – General Surveying I 14