Description

Book Synopsis

Dr. Charles Ghilani is a Professor of Engineering in the B.S. Surveying Engineering and A.S. Surveying Technology programs at Penn State. He holds a Ph.D. and M.S. in Civil and Environmental Engineering from the University of Wisconsin-Madison, and a B.S. degree in mathematics and education from the University of Wisconsin-Milwaukee. He has been involved in education since 1974; teaching at various levels from elementary through graduate school.

Dr. Ghilani has received numerous awards including: a Campus Innovation Award (1991) and Professional Development Award (1994), P.S.L.S. presidential commendation in 1990, Outstanding Club Advisor in 1992, a Distinguished Service Award from the Pennsylvania Society of Land Surveyors in 1995, an American Congress on Surveying and Mapping (ACSM) fellowship (1999), and the Earle J. Fennell Award (2001) for outstanding service in surveying and mapping education from ACSM. He is a member of t

Table of Contents

1. Introduction

1.1 Definition of Surveying

1.2 Geomatics

1.3 History of Surveying

1.4 Geodetic and Plane Surveys

1.5 Importance of Surveying

1.6 Specialized Types of Surveys

1.7 Surveying Safety

1.8 Land and Geographic Information Systems

1.9 Federal Surveying and Mapping Agencies

1.10 The Surveying Profession

1.11 Professional Surveying Organizations

1.12 Surveying on the Internet

1.13 Future Challenges in Surveying


2. Units, Significant Figures, and Field Notes

2.1 Introduction

2.2 Units of Measurement

2.3 International System of Units (SI)

2.4 Significant Figures

2.5 Rounding Off Numbers

2.6 Field Notes

2.7 General Requirements of Handwritten Field Notes

2.8 Types of Field Books

2.9 Kinds of Notes

2.10 Arrangements of Notes

2.11 Suggestions for Recording Notes

2.12 Introduction to Survey Controllers

2.13 Transfer of Files from Survey Controllers

2.14 Digital Data File Management

2.15 Advantages and Disadvantages of Survey Controllers


3.Theory of Errors In Observations

3.1 Introduction

3.2 Direct and Indirect Observations

3.3 Errors in Measurements

3.4 Mistakes

3.5 Sources of Errors in Making Observations

3.6 Types of Errors

3.7 Precision and Accuracy

3.8 Eliminating Mistakes and Systematic Errors

3.9 Probability

3.10 Most Probable Value

3.11 Residuals

3.12 Occurrence of Random Errors

3.13 General Laws of Probability

3.14 Measures of Precision

3.15 Interpretation of Standard Deviation

3.16 The 50%, 90%, and 95% Errors

3.17 Error Propagation

3.18 Applications

3.19 Conditional Adjustment of Observations

3.20 Weights of Observations

3.21 Least-Squares Adjustment


4.Leveling—Theory, Methods, and Equipment

4.1 Introduction

4.2 Definitions

4.3 North American Vertical Datum

4.4 Curvature and Refraction

4.5 Methods for Determining Differences in Elevation

4.6 Categories of Levels

4.7 Telescopes

4.8 Level Vials

4.9 Tilting Levels

4.10 Automatic Levels

4.11 Digital Levels

4.12 Tripods

4.13 Hand Level

4.14 Level Rods

4.15 Testing and Adjusting Levels


5. Leveling—Field Procedures and ComputatIons

5.1 Introduction

5.2 Carrying and Setting Up a Level

5.3 Duties of a Rodperson

5.4 Differential Leveling

5.5 Precision

5.6 Adjustments of Simple Level Circuits

5.7 Reciprocal Leveling

5.8 Three-Wire Leveling

5.9 Profile Leveling

5.10 Grid, Cross-Section, or Borrow-Pit Leveling

5.11 Use of the Hand Level

5.12 Sources of Error in Leveling

5.13 Mistakes

5.14 Reducing Errors and Eliminating Mistakes

5.15 Using Software


6. Distance Measurement

6.1 Introduction

6.2 Summary of Methods For Making Linear Measurements

6.3 Pacing

6.4 Odometer Readings

6.5 Optical Rangefinders

6.6 Tacheometry

6.7 Subtense Bar

6.8 Introduction to Taping

6.9 Taping Equipment and Accessories

6.10 Care of Taping Equipment

6.11 Taping on Level Ground

6.12 Horizontal Measurements on Sloping Ground

6.13 Slope Measurements

6.14 Sources of Error in Taping

6.15 Introduction

6.16 Propagation of Electromagnetic Energy

6.17 Principles of Electronic Distance Measurement

6.18 Electro-Optical Instruments

6.19 Total Station Instruments

6.20 EDM Instruments Without Reflectors

6.21 Computing Horizontal Lengths From Slope Distances

6.22 Errors in Electronic Distance Measurement

6.23 Using Software


7. Angles, Azimuths, and BearIngs

7.1 Introduction

7.2 Units of Angle Measurement

7.3 Kinds of Horizontal Angles

7.4 Direction of a Line

7.5 Azimuths

7.6 Bearings

7.7 Comparison of Azimuths and Bearings

7.8 Computing Azimuths

7.9 Computing Bearings

7.10 The Compass and the Earth's Magnetic Field

7.11 Magnetic Declination

7.12 Variations in Magnetic Declination

7.13 Software for Determining Magnetic Declination

7.14 Local Attraction

7.15 Typical Magnetic Declination Problems

7.16 Mistakes


8. Total Station Instruments; Angle Observations

8.1 Introduction

8.2 Characteristics of Total Station Instruments

8.3 Functions Performed by Total Station Instruments

8.4 Parts of a Total Station Instrument

8.5 Handling and Setting up a Total Station Instrument

8.6 Servo-Driven and Remotely Operated Total Station Instruments

8.7 Relationship of Angles and Distances

8.8 Observing Horizontal Angles with Total Station Instruments

8.9 Observing Multiple Horizontal Angles by the Direction Method

8.10 Closing the Horizon

8.11 Observing Deflection Angles

8.12 Observing Azimuths

8.13 Observing Vertical Angles

8.14 Sights and Marks

8.15 Prolonging a Straight Line

8.16 Balancing-in

8.17 Random Traverse

8.18 Total Stations for Determining Elevation Differences

8.19 Adjustment of Total Station Instruments and their Accessories

8.20 Sources of Error in Total Station Work

8.21 Propagation of Random Errors in Angle Observations

8.22 Mistakes


9. Traversing

9.1 Introduction

9.2 Observation of Traverse Angles or Directions

9.3 Observation of Traverse Lengths

9.4 Selection of Traverse Stations

9.5 Referencing Traverse Stations

9.6 Traverse Field Notes

9.7 Angle Misclosure

9.8 Traversing with Total Station Instruments

9.9 Radial Traversing

9.10 Sources of Error in Traversing

9.11 Mistakes in Traversing


10. Traverse Computations

10.1 Introduction

10.2 Balancing Angles

10.3 Computation of Preliminary Azimuths or Bearings

10.4 Departures and Latitudes

10.5 Departure and Latitude Closure Conditions

10.6 Traverse Linear Misclosure and Relative Precision

10.7 Traverse Adjustment

10.8 Rectangular Coordinates

10.9 Alternative Methods for Making Traverse Computations

10.10 Inversing

10.11 Computing Final Adjusted Traverse Lengths and Directions

10.12 Coordinate Computations in Boundary Surveys

10.13 Use of Open Traverses

10.14 State Plane Coordinate Systems

10.15 Traverse Computations using Computers

10.16 Locating Blunders in Traverse Observations

10.17 Mistakes in Traverse Computations


11. CoordInate Geometry In SurveyIng Calculations

11.1 Introduction

11.2 Coordinate Forms of Equations for Lines and Circles

11.3 Perpendicular Distance from a Point to a Line

11.4 Intersection of Two Lines, Both Having Known Directions

11.5 Intersection of a Line with a Circle

11.6 Intersection of Two Circles

11.7 Three-Point Resection

11.8 Two-Dimensional Conformal Coordinate Transformation

11.9 Inaccessible Point Problem

11.10 Three-Dimensional Two-Point Resection

11.11 Software


12. Area

12.1 Introduction

12.2 Methods of Measuring Area

12.3 Area by Division into Simple Figures

12.4 Area by Offsets from Straight Lines

12.5 Area by Coordinates

12.6 Area by Double-Meridian Distance Method

12.7 Area of Parcels with Circular Boundaries

12.8 Partitioning of Lands

12.9 Area by Measurements from Maps

12.10 Software

12.11 Sources of Error in Determining Areas

12.12 Mistakes in Determining Areas


13. Global NavigatIon Satellite Systems—Introduction and Principles of Operation

13.1 Introduction

13.2 Overview of GPS

13.3 The GPS Signal

13.4 Reference Coordinate Systems

13.5 Fundamentals of Satellite Positioning

13.6 Errors in Observations

13.7 Differential Positioning

13.8 Kinematic Methods

13.9 Relative Positioning

13.10 Other Satellite Navigation Systems

13.11 The Future


14. Global Navigation SatellIte Systems—Static Surveys

14.1 Introduction

14.2 Field Procedures in Static GNSS Surveys

14.3 Planning Satellite Surveys

14.4 Performing Static Surveys

14.5 Data Processing and Analysis

14.6 Things to Consider

14.7 A Method for Obtaining Orthometric Height Differences Using GNSS

14.8 Sources of Errors in Satellite Surveys

14.9 Mistakes in Satellite Surveys


15. Global Navigation Satellite Systems—KInematic Surveys

15.1 Introduction

15.2 Planning of Kinematic Surveys

15.3 Initialization Techniques

15.4 Equipment Used in Kinematic Surveys

15.5 Methods Used in Kinematic Surveys

15.6 Performing Post-Processed Kinematic Surveys

15.7 Communication in Real-Time Kinematic Surveys

15.8 Real-Time Networks

15.9 Performing Real-Time Kinematic Surveys

15.10 Machine Guidance and Control

15.11 Errors in Kinematic Surveys

15.12 Mistakes in Kinematic Surveys


16. Adjustments by Least Squares

16.1 Introduction

16.2 Fundamental Condition of Least Squares

16.3 Least-Squares Adjustment by the Observation Equation Method

16.4 Matrix Methods in Least-Squares Adjustment

16.5 Matrix Equations for Precisions of Adjusted Quantities

16.6 Least-Squares Adjustment of Leveling Circuits

16.7 Propagation of Errors

16.8 Least-Squares Adjustment Of GNSS Baseline Vectors

16.9 Least-Squares Adjustment of Conventional Horizontal Plane Surveys

16.10 The Error Ellipse

16.11 Adjustment Procedures

16.12 Other Measures of Precision for Horizontal Stations

16.13 Software

16.14 Conclusions


17. Mapping Surveys

17.1 Introduction

17.2 Basic Methods for Performing Mapping Surveys

17.3 Map Scale

17.4 Control for Mapping Surveys

17.5 Contours

17.6 Characteristics of Contours

17.7 Method of Locating Contours

17.8 Digital Elevation Models and Automated Contouring Systems

17.9 Basic Field Methods for Locating Topographic Details

17.10 Planning a Laser-Scanning Survey

17.11 Three-Dimensional Conformal Coordinate Transformation

17.12 Selection of Field Method

17.13 Working with Survey Controllers and Field-to-Finish Software

17.14 Hydrographic Surveys

17.15 Sources of Error in Mapping Surveys

17.16 Mistakes in Mapping Surveys


18. Mapping

18.1 Introduction

18.2 Availability of Maps and Related Information

18.3 National Mapping Program

18.4 Accuracy Standards for Mapping

18.5 Manual and Computer-Aided Drafting Procedures

18.6 Map Design

18.7 Map Layout

18.8 Basic Map Plotting Procedures

18.9 Contour Interval

18.10 Plotting Contours

18.11 Lettering

18.12 Cartographic Map Elements

18.13 Drafting Materials

18.14 Automated Mapping and Computer-Aided Drafting Systems

18.15 Migrating Maps between Software Packages

18.16 Impacts of Modern Land and Geographic Information Systems on Mapping

18.17 The Importance of Metadata

18.18 Sources of Error in Mapping

18.19 Mistakes in Mapping


19. Control Surveys and GeodetIc ReductIons

19.1 Introduction

19.2 The Ellipsoid and Geoid

19.3 The Conventional Terrestrial Pole

19.4 Geodetic Position and Ellipsoidal Radii of Curvature

19.5 Geoid Undulation and De ection of the Vertical

19.6 U.S. Reference Frames

19.7 Transforming Coordinates Between Reference Frames

19.8 Accuracy Standards and Specifications for Control Surveys

19.9 The National Spatial Reference System

19.10 Hierarchy of the National Horizontal Control Network

19.11 Hierarchy of the National Vertical Control Network

19.12 Control Point Descriptions

19.13 Field Procedures for Conventional Horizontal Control Surveys

19.14 Field Procedures for Vertical-Control Surveys

19.15 Reduction of Field Observations to their Geodetic Values

19.16 Geodetic Position Computations

19.17 The Local Geodetic Coordinate System

19.18 Three-Dimensional Coordinate Computations

19.19 Software


20. State Plane CoordInates and Other Map Projections

20.1 Introduction

20.2 Projections Used in State Plane Coordinate Systems

20.3 Lambert Conformal Conic Projection

20.4 Transverse Mercator Projection

20.5 State Plane Coordinates in NAD 27 and NAD 83

20.6 Computing SPCS 83 Coordinates in the Lambert Conformal

20.7 Conic System

20.8 Computing SPCS 83 Coordinates in the Transverse Mercator System 603 Reduction of Distances and Angles to State Plane Coordinate Grids

20.9 Computing State Plane Coordinates of Traverse Stations

20.10 Surveys Extending from One Zone to Another

20.11 The Universal Transverse Mercator Projection

20.12 Other Map Projections

20.13 Ground Versus Grid Problem

20.14 Map Projection Software


21. Boundary Surveys

21.1 Introduction

21.2 Categories of Land Surveys

21.3 Historical Perspectives

21.4 Property Description by Metes and Bounds

21.5 Property Description by Block-and-Lot System

21.6 Property Description by Coordinates

21.7 Retracement Surveys

21.8 Subdivision Surveys

21.9 Partitioning Land

21.10 Registration of Title

21.11 Adverse Possession and Easements

21.12 Condominium Surveys

21.13 Geographic and Land Information Systems

21.14 Sources of Error in Boundary Surveys

21.15 Mistakes


22. Surveys of the PublIc Lands

22.1 Introduction

22.2 Instructions for Surveys of the Public Lands

22.3 Initial Point

22.4 Principal Meridian

22.5 Baseline

22.6 Standard Parallels (Correction Lines)

22.7 Guide Meridians

22.8 Township Exteriors, Meridional (Range) Lines, and Latitudinal (Township) Lines

22.9 Designation of Townships

22.10 Subdivision of a Quadrangle into Townships

22.11 Subdivision of a Township into Sections

22.12 Subdivision of Sections

22.13 Fractional Sections

22.14 Notes

22.15 Outline of Subdivision Steps

22.16 Marking Corners

22.17 Witness Corners

22.18 Meander Corners

22.19 Lost and Obliterated Corners

22.20 Accuracy of Public Land Surveys

22.21 Descriptions by Township Section, and Smaller Subdivision

22.22 BLM Land Information System

22.23 Sources of Error

22.24 Mistakes


23. ConstructIon Surveys

23.1 Introduction

23.2 Specialized Equipment for Construction Surveys

23.3 Horizontal and Vertical Control

23.4 Staking Out a Pipeline

23.5 Staking Pipeline Grades

23.6 Computing the Bend Angles in Pipelines

23.7 Staking Out a Building

23.8 Staking Out Highways

23.9 Other Construction Surveys

23.10 Construction Surveys Using Total Station Instruments

23.11 Construction Surveys Using GNSS Equipment

23.12 Machine Guidance and Control

23.13 As-built Surveys with Laser Scanning

23.14 Sources of Error in Construction Surveys

23.15 Mistakes


24. HorIzontal Curves

24.1 Introduction

24.2 Degree of Circular Curve

24.3 Definitions and Derivation of Circular Curve Formulas

24.4 Circular Curve Stationing

24.5 General Procedure of Circular Curve Layout by Deflection Angles

24.6 Computing Deflection Angles and Chords

24.7 Notes for Circular Curve Layout by Deflection Angles and Incremental Chords

24.8 Detailed Procedures for Circular Curve Layout by Deflection Angles and Incremental Chords

24.9 Setups on Curve

24.10 Metric Circular Curves by Deflection Angles and Incremental Chords

24.11 Circular Curve Layout by Deflection Angles and Total Chords

24.12 Computation of Coordinates on a Circular Curve

24.13 Circular Curve Layout by Coordinates

24.14 Curve Stakeout Using GNSS Receivers and Robotic Total Stations

24.15 Circular Curve Layout by Offsets

24.16 Special Circular Curve Problems

24.17 Compound and Reverse Curves

24.18 Sight Distance on Horizontal Curves

24.19 Spirals

24.20 Computation of “As-Built” Circular Alignments

24.21 Sources of Error in Laying Out Circular Curves

24.22 Mistakes


25. Vertical Curves

25.1 Introduction

25.2 General Equation of a Vertical Parabolic Curve

25.3 Equation of an Equal Tangent Vertical Parabolic Curve

25.4 High or Low Point on a Vertical Curve

25.5 Vertical Curve Computations Using the Tangent-Offset Equation

25.6 Equal Tangent Property of a Parabola

25.7 Curve Computations by Proportion

25.8 Staking a Vertical Parabolic Curve

25.9 Machine Control in Grading Operations

25.10 Computations for an Unequal Tangent Vertical Curve

25.11 Designing a Curve to Pass Through a Fixed Point

25.12 Sight Distance

25.13 Sources of Error in Laying out Vertical Curves

25.14 Mistakes


26. Volumes

26.1 Introduction

26.2 Methods of Volume Measurement

26.3 The Cross-Section Method

26.4 Types of Cross Sections

26.5 Average-End-Area Formula

26.6 Determining End Areas

26.7 Computing Slope Intercepts

26.8 Prismoidal Formula

26.9 Volume Computations

26.10 Unit-Area, or Borrow-Pit, Method

26.11 Contour-Area Method

26.12 Measuring Volumes of Water Discharge

26.13 Software

26.14 Sources of Error in Determining Volumes

26.15 Mistakes


27. Photogrammetry

27.1 Introduction

27.2 Uses of Photogrammetry

27.3 Aerial Cameras

27.4 Types of Aerial Photographs

27.5 Vertical Aerial Photographs

27.6 Scale of a Vertical Photograph

27.7 Ground Coordinates from a Single Vertical Photograph

27.8 Relief Displacement on a Vertical Photograph

27.9 Flying Height of a Vertical Photograph

27.10 Stereoscopic Parallax

27.11 Stereoscopic Viewing

27.12 Stereoscopic Measurement of Parallax

27.13 Analytical Photogrammetry

27.14 Stereoscopic Plotting Instruments

27.15 Orthophotos

27.16 Ground Control for Photogrammetry

27.17 Flight Planning

27.18 Airborne Laser-Mapping Systems

27.19 Remote Sensing

27.20 Software

27.21 Sources of Error in Photogrammetry

27.22 Mistakes

28. Introduction to GeographIc Information Systems

28.1 Introduction

28.2 Land Information Systems

28.3 GIS Data Sources and Classifications

28.4 Spatial Data

28.5 Nonspatial Data

28.6 Data Format Conversions

28.7 Creating GIS Databases

28.8 Metadata

28.9 GIS Analytical Functions

28.10 GIS Applications

28.11 Data Sources


Appendix A: Tape Correction Problems

Appendix B: Example Noteforms

Appendix C: Astronomical Observations

Appendix D: Using the Worksheets from the Companion Website

Appendix E: Introduction to Matrices

Appendix F: U.S. State Plane Coordinate System Defining Parameters

Appendix G: Answers to Selected Problems

Elementary Surveying

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      View other formats and editions of Elementary Surveying by Charles Ghilani

      Publisher: Pearson Education (US)
      Publication Date: 06/11/2018
      ISBN13: 9780134604657, 978-0134604657
      ISBN10: 0134604652

      Description

      Book Synopsis

      Dr. Charles Ghilani is a Professor of Engineering in the B.S. Surveying Engineering and A.S. Surveying Technology programs at Penn State. He holds a Ph.D. and M.S. in Civil and Environmental Engineering from the University of Wisconsin-Madison, and a B.S. degree in mathematics and education from the University of Wisconsin-Milwaukee. He has been involved in education since 1974; teaching at various levels from elementary through graduate school.

      Dr. Ghilani has received numerous awards including: a Campus Innovation Award (1991) and Professional Development Award (1994), P.S.L.S. presidential commendation in 1990, Outstanding Club Advisor in 1992, a Distinguished Service Award from the Pennsylvania Society of Land Surveyors in 1995, an American Congress on Surveying and Mapping (ACSM) fellowship (1999), and the Earle J. Fennell Award (2001) for outstanding service in surveying and mapping education from ACSM. He is a member of t

      Table of Contents

      1. Introduction

      1.1 Definition of Surveying

      1.2 Geomatics

      1.3 History of Surveying

      1.4 Geodetic and Plane Surveys

      1.5 Importance of Surveying

      1.6 Specialized Types of Surveys

      1.7 Surveying Safety

      1.8 Land and Geographic Information Systems

      1.9 Federal Surveying and Mapping Agencies

      1.10 The Surveying Profession

      1.11 Professional Surveying Organizations

      1.12 Surveying on the Internet

      1.13 Future Challenges in Surveying


      2. Units, Significant Figures, and Field Notes

      2.1 Introduction

      2.2 Units of Measurement

      2.3 International System of Units (SI)

      2.4 Significant Figures

      2.5 Rounding Off Numbers

      2.6 Field Notes

      2.7 General Requirements of Handwritten Field Notes

      2.8 Types of Field Books

      2.9 Kinds of Notes

      2.10 Arrangements of Notes

      2.11 Suggestions for Recording Notes

      2.12 Introduction to Survey Controllers

      2.13 Transfer of Files from Survey Controllers

      2.14 Digital Data File Management

      2.15 Advantages and Disadvantages of Survey Controllers


      3.Theory of Errors In Observations

      3.1 Introduction

      3.2 Direct and Indirect Observations

      3.3 Errors in Measurements

      3.4 Mistakes

      3.5 Sources of Errors in Making Observations

      3.6 Types of Errors

      3.7 Precision and Accuracy

      3.8 Eliminating Mistakes and Systematic Errors

      3.9 Probability

      3.10 Most Probable Value

      3.11 Residuals

      3.12 Occurrence of Random Errors

      3.13 General Laws of Probability

      3.14 Measures of Precision

      3.15 Interpretation of Standard Deviation

      3.16 The 50%, 90%, and 95% Errors

      3.17 Error Propagation

      3.18 Applications

      3.19 Conditional Adjustment of Observations

      3.20 Weights of Observations

      3.21 Least-Squares Adjustment


      4.Leveling—Theory, Methods, and Equipment

      4.1 Introduction

      4.2 Definitions

      4.3 North American Vertical Datum

      4.4 Curvature and Refraction

      4.5 Methods for Determining Differences in Elevation

      4.6 Categories of Levels

      4.7 Telescopes

      4.8 Level Vials

      4.9 Tilting Levels

      4.10 Automatic Levels

      4.11 Digital Levels

      4.12 Tripods

      4.13 Hand Level

      4.14 Level Rods

      4.15 Testing and Adjusting Levels


      5. Leveling—Field Procedures and ComputatIons

      5.1 Introduction

      5.2 Carrying and Setting Up a Level

      5.3 Duties of a Rodperson

      5.4 Differential Leveling

      5.5 Precision

      5.6 Adjustments of Simple Level Circuits

      5.7 Reciprocal Leveling

      5.8 Three-Wire Leveling

      5.9 Profile Leveling

      5.10 Grid, Cross-Section, or Borrow-Pit Leveling

      5.11 Use of the Hand Level

      5.12 Sources of Error in Leveling

      5.13 Mistakes

      5.14 Reducing Errors and Eliminating Mistakes

      5.15 Using Software


      6. Distance Measurement

      6.1 Introduction

      6.2 Summary of Methods For Making Linear Measurements

      6.3 Pacing

      6.4 Odometer Readings

      6.5 Optical Rangefinders

      6.6 Tacheometry

      6.7 Subtense Bar

      6.8 Introduction to Taping

      6.9 Taping Equipment and Accessories

      6.10 Care of Taping Equipment

      6.11 Taping on Level Ground

      6.12 Horizontal Measurements on Sloping Ground

      6.13 Slope Measurements

      6.14 Sources of Error in Taping

      6.15 Introduction

      6.16 Propagation of Electromagnetic Energy

      6.17 Principles of Electronic Distance Measurement

      6.18 Electro-Optical Instruments

      6.19 Total Station Instruments

      6.20 EDM Instruments Without Reflectors

      6.21 Computing Horizontal Lengths From Slope Distances

      6.22 Errors in Electronic Distance Measurement

      6.23 Using Software


      7. Angles, Azimuths, and BearIngs

      7.1 Introduction

      7.2 Units of Angle Measurement

      7.3 Kinds of Horizontal Angles

      7.4 Direction of a Line

      7.5 Azimuths

      7.6 Bearings

      7.7 Comparison of Azimuths and Bearings

      7.8 Computing Azimuths

      7.9 Computing Bearings

      7.10 The Compass and the Earth's Magnetic Field

      7.11 Magnetic Declination

      7.12 Variations in Magnetic Declination

      7.13 Software for Determining Magnetic Declination

      7.14 Local Attraction

      7.15 Typical Magnetic Declination Problems

      7.16 Mistakes


      8. Total Station Instruments; Angle Observations

      8.1 Introduction

      8.2 Characteristics of Total Station Instruments

      8.3 Functions Performed by Total Station Instruments

      8.4 Parts of a Total Station Instrument

      8.5 Handling and Setting up a Total Station Instrument

      8.6 Servo-Driven and Remotely Operated Total Station Instruments

      8.7 Relationship of Angles and Distances

      8.8 Observing Horizontal Angles with Total Station Instruments

      8.9 Observing Multiple Horizontal Angles by the Direction Method

      8.10 Closing the Horizon

      8.11 Observing Deflection Angles

      8.12 Observing Azimuths

      8.13 Observing Vertical Angles

      8.14 Sights and Marks

      8.15 Prolonging a Straight Line

      8.16 Balancing-in

      8.17 Random Traverse

      8.18 Total Stations for Determining Elevation Differences

      8.19 Adjustment of Total Station Instruments and their Accessories

      8.20 Sources of Error in Total Station Work

      8.21 Propagation of Random Errors in Angle Observations

      8.22 Mistakes


      9. Traversing

      9.1 Introduction

      9.2 Observation of Traverse Angles or Directions

      9.3 Observation of Traverse Lengths

      9.4 Selection of Traverse Stations

      9.5 Referencing Traverse Stations

      9.6 Traverse Field Notes

      9.7 Angle Misclosure

      9.8 Traversing with Total Station Instruments

      9.9 Radial Traversing

      9.10 Sources of Error in Traversing

      9.11 Mistakes in Traversing


      10. Traverse Computations

      10.1 Introduction

      10.2 Balancing Angles

      10.3 Computation of Preliminary Azimuths or Bearings

      10.4 Departures and Latitudes

      10.5 Departure and Latitude Closure Conditions

      10.6 Traverse Linear Misclosure and Relative Precision

      10.7 Traverse Adjustment

      10.8 Rectangular Coordinates

      10.9 Alternative Methods for Making Traverse Computations

      10.10 Inversing

      10.11 Computing Final Adjusted Traverse Lengths and Directions

      10.12 Coordinate Computations in Boundary Surveys

      10.13 Use of Open Traverses

      10.14 State Plane Coordinate Systems

      10.15 Traverse Computations using Computers

      10.16 Locating Blunders in Traverse Observations

      10.17 Mistakes in Traverse Computations


      11. CoordInate Geometry In SurveyIng Calculations

      11.1 Introduction

      11.2 Coordinate Forms of Equations for Lines and Circles

      11.3 Perpendicular Distance from a Point to a Line

      11.4 Intersection of Two Lines, Both Having Known Directions

      11.5 Intersection of a Line with a Circle

      11.6 Intersection of Two Circles

      11.7 Three-Point Resection

      11.8 Two-Dimensional Conformal Coordinate Transformation

      11.9 Inaccessible Point Problem

      11.10 Three-Dimensional Two-Point Resection

      11.11 Software


      12. Area

      12.1 Introduction

      12.2 Methods of Measuring Area

      12.3 Area by Division into Simple Figures

      12.4 Area by Offsets from Straight Lines

      12.5 Area by Coordinates

      12.6 Area by Double-Meridian Distance Method

      12.7 Area of Parcels with Circular Boundaries

      12.8 Partitioning of Lands

      12.9 Area by Measurements from Maps

      12.10 Software

      12.11 Sources of Error in Determining Areas

      12.12 Mistakes in Determining Areas


      13. Global NavigatIon Satellite Systems—Introduction and Principles of Operation

      13.1 Introduction

      13.2 Overview of GPS

      13.3 The GPS Signal

      13.4 Reference Coordinate Systems

      13.5 Fundamentals of Satellite Positioning

      13.6 Errors in Observations

      13.7 Differential Positioning

      13.8 Kinematic Methods

      13.9 Relative Positioning

      13.10 Other Satellite Navigation Systems

      13.11 The Future


      14. Global Navigation SatellIte Systems—Static Surveys

      14.1 Introduction

      14.2 Field Procedures in Static GNSS Surveys

      14.3 Planning Satellite Surveys

      14.4 Performing Static Surveys

      14.5 Data Processing and Analysis

      14.6 Things to Consider

      14.7 A Method for Obtaining Orthometric Height Differences Using GNSS

      14.8 Sources of Errors in Satellite Surveys

      14.9 Mistakes in Satellite Surveys


      15. Global Navigation Satellite Systems—KInematic Surveys

      15.1 Introduction

      15.2 Planning of Kinematic Surveys

      15.3 Initialization Techniques

      15.4 Equipment Used in Kinematic Surveys

      15.5 Methods Used in Kinematic Surveys

      15.6 Performing Post-Processed Kinematic Surveys

      15.7 Communication in Real-Time Kinematic Surveys

      15.8 Real-Time Networks

      15.9 Performing Real-Time Kinematic Surveys

      15.10 Machine Guidance and Control

      15.11 Errors in Kinematic Surveys

      15.12 Mistakes in Kinematic Surveys


      16. Adjustments by Least Squares

      16.1 Introduction

      16.2 Fundamental Condition of Least Squares

      16.3 Least-Squares Adjustment by the Observation Equation Method

      16.4 Matrix Methods in Least-Squares Adjustment

      16.5 Matrix Equations for Precisions of Adjusted Quantities

      16.6 Least-Squares Adjustment of Leveling Circuits

      16.7 Propagation of Errors

      16.8 Least-Squares Adjustment Of GNSS Baseline Vectors

      16.9 Least-Squares Adjustment of Conventional Horizontal Plane Surveys

      16.10 The Error Ellipse

      16.11 Adjustment Procedures

      16.12 Other Measures of Precision for Horizontal Stations

      16.13 Software

      16.14 Conclusions


      17. Mapping Surveys

      17.1 Introduction

      17.2 Basic Methods for Performing Mapping Surveys

      17.3 Map Scale

      17.4 Control for Mapping Surveys

      17.5 Contours

      17.6 Characteristics of Contours

      17.7 Method of Locating Contours

      17.8 Digital Elevation Models and Automated Contouring Systems

      17.9 Basic Field Methods for Locating Topographic Details

      17.10 Planning a Laser-Scanning Survey

      17.11 Three-Dimensional Conformal Coordinate Transformation

      17.12 Selection of Field Method

      17.13 Working with Survey Controllers and Field-to-Finish Software

      17.14 Hydrographic Surveys

      17.15 Sources of Error in Mapping Surveys

      17.16 Mistakes in Mapping Surveys


      18. Mapping

      18.1 Introduction

      18.2 Availability of Maps and Related Information

      18.3 National Mapping Program

      18.4 Accuracy Standards for Mapping

      18.5 Manual and Computer-Aided Drafting Procedures

      18.6 Map Design

      18.7 Map Layout

      18.8 Basic Map Plotting Procedures

      18.9 Contour Interval

      18.10 Plotting Contours

      18.11 Lettering

      18.12 Cartographic Map Elements

      18.13 Drafting Materials

      18.14 Automated Mapping and Computer-Aided Drafting Systems

      18.15 Migrating Maps between Software Packages

      18.16 Impacts of Modern Land and Geographic Information Systems on Mapping

      18.17 The Importance of Metadata

      18.18 Sources of Error in Mapping

      18.19 Mistakes in Mapping


      19. Control Surveys and GeodetIc ReductIons

      19.1 Introduction

      19.2 The Ellipsoid and Geoid

      19.3 The Conventional Terrestrial Pole

      19.4 Geodetic Position and Ellipsoidal Radii of Curvature

      19.5 Geoid Undulation and De ection of the Vertical

      19.6 U.S. Reference Frames

      19.7 Transforming Coordinates Between Reference Frames

      19.8 Accuracy Standards and Specifications for Control Surveys

      19.9 The National Spatial Reference System

      19.10 Hierarchy of the National Horizontal Control Network

      19.11 Hierarchy of the National Vertical Control Network

      19.12 Control Point Descriptions

      19.13 Field Procedures for Conventional Horizontal Control Surveys

      19.14 Field Procedures for Vertical-Control Surveys

      19.15 Reduction of Field Observations to their Geodetic Values

      19.16 Geodetic Position Computations

      19.17 The Local Geodetic Coordinate System

      19.18 Three-Dimensional Coordinate Computations

      19.19 Software


      20. State Plane CoordInates and Other Map Projections

      20.1 Introduction

      20.2 Projections Used in State Plane Coordinate Systems

      20.3 Lambert Conformal Conic Projection

      20.4 Transverse Mercator Projection

      20.5 State Plane Coordinates in NAD 27 and NAD 83

      20.6 Computing SPCS 83 Coordinates in the Lambert Conformal

      20.7 Conic System

      20.8 Computing SPCS 83 Coordinates in the Transverse Mercator System 603 Reduction of Distances and Angles to State Plane Coordinate Grids

      20.9 Computing State Plane Coordinates of Traverse Stations

      20.10 Surveys Extending from One Zone to Another

      20.11 The Universal Transverse Mercator Projection

      20.12 Other Map Projections

      20.13 Ground Versus Grid Problem

      20.14 Map Projection Software


      21. Boundary Surveys

      21.1 Introduction

      21.2 Categories of Land Surveys

      21.3 Historical Perspectives

      21.4 Property Description by Metes and Bounds

      21.5 Property Description by Block-and-Lot System

      21.6 Property Description by Coordinates

      21.7 Retracement Surveys

      21.8 Subdivision Surveys

      21.9 Partitioning Land

      21.10 Registration of Title

      21.11 Adverse Possession and Easements

      21.12 Condominium Surveys

      21.13 Geographic and Land Information Systems

      21.14 Sources of Error in Boundary Surveys

      21.15 Mistakes


      22. Surveys of the PublIc Lands

      22.1 Introduction

      22.2 Instructions for Surveys of the Public Lands

      22.3 Initial Point

      22.4 Principal Meridian

      22.5 Baseline

      22.6 Standard Parallels (Correction Lines)

      22.7 Guide Meridians

      22.8 Township Exteriors, Meridional (Range) Lines, and Latitudinal (Township) Lines

      22.9 Designation of Townships

      22.10 Subdivision of a Quadrangle into Townships

      22.11 Subdivision of a Township into Sections

      22.12 Subdivision of Sections

      22.13 Fractional Sections

      22.14 Notes

      22.15 Outline of Subdivision Steps

      22.16 Marking Corners

      22.17 Witness Corners

      22.18 Meander Corners

      22.19 Lost and Obliterated Corners

      22.20 Accuracy of Public Land Surveys

      22.21 Descriptions by Township Section, and Smaller Subdivision

      22.22 BLM Land Information System

      22.23 Sources of Error

      22.24 Mistakes


      23. ConstructIon Surveys

      23.1 Introduction

      23.2 Specialized Equipment for Construction Surveys

      23.3 Horizontal and Vertical Control

      23.4 Staking Out a Pipeline

      23.5 Staking Pipeline Grades

      23.6 Computing the Bend Angles in Pipelines

      23.7 Staking Out a Building

      23.8 Staking Out Highways

      23.9 Other Construction Surveys

      23.10 Construction Surveys Using Total Station Instruments

      23.11 Construction Surveys Using GNSS Equipment

      23.12 Machine Guidance and Control

      23.13 As-built Surveys with Laser Scanning

      23.14 Sources of Error in Construction Surveys

      23.15 Mistakes


      24. HorIzontal Curves

      24.1 Introduction

      24.2 Degree of Circular Curve

      24.3 Definitions and Derivation of Circular Curve Formulas

      24.4 Circular Curve Stationing

      24.5 General Procedure of Circular Curve Layout by Deflection Angles

      24.6 Computing Deflection Angles and Chords

      24.7 Notes for Circular Curve Layout by Deflection Angles and Incremental Chords

      24.8 Detailed Procedures for Circular Curve Layout by Deflection Angles and Incremental Chords

      24.9 Setups on Curve

      24.10 Metric Circular Curves by Deflection Angles and Incremental Chords

      24.11 Circular Curve Layout by Deflection Angles and Total Chords

      24.12 Computation of Coordinates on a Circular Curve

      24.13 Circular Curve Layout by Coordinates

      24.14 Curve Stakeout Using GNSS Receivers and Robotic Total Stations

      24.15 Circular Curve Layout by Offsets

      24.16 Special Circular Curve Problems

      24.17 Compound and Reverse Curves

      24.18 Sight Distance on Horizontal Curves

      24.19 Spirals

      24.20 Computation of “As-Built” Circular Alignments

      24.21 Sources of Error in Laying Out Circular Curves

      24.22 Mistakes


      25. Vertical Curves

      25.1 Introduction

      25.2 General Equation of a Vertical Parabolic Curve

      25.3 Equation of an Equal Tangent Vertical Parabolic Curve

      25.4 High or Low Point on a Vertical Curve

      25.5 Vertical Curve Computations Using the Tangent-Offset Equation

      25.6 Equal Tangent Property of a Parabola

      25.7 Curve Computations by Proportion

      25.8 Staking a Vertical Parabolic Curve

      25.9 Machine Control in Grading Operations

      25.10 Computations for an Unequal Tangent Vertical Curve

      25.11 Designing a Curve to Pass Through a Fixed Point

      25.12 Sight Distance

      25.13 Sources of Error in Laying out Vertical Curves

      25.14 Mistakes


      26. Volumes

      26.1 Introduction

      26.2 Methods of Volume Measurement

      26.3 The Cross-Section Method

      26.4 Types of Cross Sections

      26.5 Average-End-Area Formula

      26.6 Determining End Areas

      26.7 Computing Slope Intercepts

      26.8 Prismoidal Formula

      26.9 Volume Computations

      26.10 Unit-Area, or Borrow-Pit, Method

      26.11 Contour-Area Method

      26.12 Measuring Volumes of Water Discharge

      26.13 Software

      26.14 Sources of Error in Determining Volumes

      26.15 Mistakes


      27. Photogrammetry

      27.1 Introduction

      27.2 Uses of Photogrammetry

      27.3 Aerial Cameras

      27.4 Types of Aerial Photographs

      27.5 Vertical Aerial Photographs

      27.6 Scale of a Vertical Photograph

      27.7 Ground Coordinates from a Single Vertical Photograph

      27.8 Relief Displacement on a Vertical Photograph

      27.9 Flying Height of a Vertical Photograph

      27.10 Stereoscopic Parallax

      27.11 Stereoscopic Viewing

      27.12 Stereoscopic Measurement of Parallax

      27.13 Analytical Photogrammetry

      27.14 Stereoscopic Plotting Instruments

      27.15 Orthophotos

      27.16 Ground Control for Photogrammetry

      27.17 Flight Planning

      27.18 Airborne Laser-Mapping Systems

      27.19 Remote Sensing

      27.20 Software

      27.21 Sources of Error in Photogrammetry

      27.22 Mistakes

      28. Introduction to GeographIc Information Systems

      28.1 Introduction

      28.2 Land Information Systems

      28.3 GIS Data Sources and Classifications

      28.4 Spatial Data

      28.5 Nonspatial Data

      28.6 Data Format Conversions

      28.7 Creating GIS Databases

      28.8 Metadata

      28.9 GIS Analytical Functions

      28.10 GIS Applications

      28.11 Data Sources


      Appendix A: Tape Correction Problems

      Appendix B: Example Noteforms

      Appendix C: Astronomical Observations

      Appendix D: Using the Worksheets from the Companion Website

      Appendix E: Introduction to Matrices

      Appendix F: U.S. State Plane Coordinate System Defining Parameters

      Appendix G: Answers to Selected Problems

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