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Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester 2007/2008 UP Copyrights 2007 Engineering Control and Surveying
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Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Dec 31, 2015

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Page 1: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Coordinate Geometry and Traverse Surveying

Faculty of Applied Engineering and Urban Planning

Civil Engineering Department

Lecture 8 - Week 5

2nd Semester 2007/2008

UP Copyrights 2007

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Page 2: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

• Introduction to Coordinate Systems

• World and Local Coordinates

• Coordinate Geometry

• Transformation of Coordinates

• Traverse Surveying

Content

Page 3: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Transformation of Coordinates

Page 4: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Transformation of CoordinatesIn order to transform from local coordinates to the

national coordinates:

Page 5: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.
Page 6: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.
Page 7: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Questions

Page 8: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Surveying

Page 9: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Surveying

Page 10: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Surveying

Page 11: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Surveying

Page 12: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Surveying

Purpose of the surveying:

• Property surveys to establish boundaries

• Location and construction layout surveys for highways, railways and other works

• Providing ground control points for photogrammetric mapping

Page 13: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Questions

Page 14: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Types of Traverse

Types of Traverse

• Open traverse: starts at known point and ends with unknown one.

Page 15: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Types of Traverse

Types of Traverse

• Closed traverse: starts at known point and ends with unknown one.

Page 16: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Choice of Traverse

• As close as possible to the details

• Distances shall be equal between stations

• Insure durability of stations

• No sight obstructions

Page 17: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Computations

How to calculate the azimuth of a line

Page 18: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Computations

How to calculate the azimuth of a line

Page 19: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Computations

How to calculate the azimuth of a line

Page 20: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Questions

Page 21: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Computations

Error Correction

Page 22: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Computations

Error Correction

To do so, two corrections are required:

1. Angle Correction

2. Position Correction

Page 23: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Computations

1) Angle Correction

Page 24: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Computations1) Angle Correction

Page 25: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Questions

Page 26: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse Computations2) Position Correction

Compass Rule (Bowditch Rule)

Page 27: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Questions

Page 28: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Traverse ComputationsAllowable Errors in Traverse Surveying

Page 29: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Questions

Page 30: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Example 7.9

Page 31: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Example 7.9

Page 32: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Example 7.9

Page 33: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Example 7.9

Homework: Solve the example using procedure stated in the approach

Page 34: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Example 7.9

Page 35: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Example 7.9

Page 36: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Questions

Page 37: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Example 7.10

Page 38: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.

Example 7.10

Page 39: Coordinate Geometry and Traverse Surveying Faculty of Applied Engineering and Urban Planning Civil Engineering Department Lecture 8 - Week 5 2 nd Semester.