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Surveying Fundamentals and Practices S E IXTH DITION Jerry Nathanson, M. S., P. E. Professor Emeritus, Engineering Technology Union County College Cranford, New Jersey Michael T. Lanzafama, P. E., P. L. S., P. P. Adjunct Instructor, Surveying Union County College Cranford, New Jersey Philip Kissam, C. E. Late Professor Emeritus Princeton University Princeton, New Jersey Prentice Hall Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo Editor in Chief:Vernon R.Anthony Acquisitions Editor:David Ploskonka Editorial Assistant:Nancy Kesterson Director ofMarketing:David Gesell Marketing Manager:Derril Trakalo Senior Marketing Coordinator:Alicia Wozniak Marketing Assistant:Les Roberts Project Manager:Holly Shufeldt Senior Art Director:Jayne Conte Cover Designer:Karen Salzbach Cover Photo:iStock Full-Service Project Management/Composition:Integra Software Services,Ltd. Printer/Binder:Edwards Brothers Cover Printer:Demand Production Center Text Font:10/12,Minion Credits and acknowledgments borrowed from other sources and reproduced,with permission,in this textbook appear on appropriate page within text. Copyright © 2011,2006 Pearson Education,Inc.,publishing as Prentice Hall,Upper Saddle River,New Jersey and Columbus,Ohio.All rights reserved.Manufactured in the United States ofAmerica.This publication is protected by Copyright,and permission should be obtained from the publisher prior to any prohibited reproduction,storage in aretrieval system,or transmission in any form or by any means,electronic,mechanical,photocopying,recording, orlikewise.To obtain permission(s) to use material from this work,please submit a written request to Pearson Education,Inc.,Permissions Department,One Lake Street,Upper Saddle River,New Jersey 07458. Many ofthe designations by manufacturers and seller to distinguish their products are claimed as trademarks. Wherethose designations appear in this book,and the publisher was aware ofa trademark claim,the designations have been printed in initial caps or all caps. Library ofCongress Cataloging-in-Publication Data Nathanson,Jerry A. Surveying fundamentals and practices / Jerry Nathanson,Michael T. Lanzafama,Philip Kissam.––6th ed. p.cm. Includes bibliographical references and index. ISBN-13:978-0-13-500037-3 (alk.paper) ISBN-10:0-13-500037-8 (alk.paper) 1. Surveying. I. Lanzafama,Michael T. II. Kissam,Philip III. Title. TA545.N28 2011 526.9––dc22 2009050875 10 9 8 7 6 5 4 3 2 1 ISBN 10: 0-13-500037-8 ISBN 13:978-0-13-500037-3 Dedication To the courageous men and women who are serving or have served in the armed forces of the United States of America, for the defense of freedom and democracy at home and abroad. This page intentionally left blank PREFACE S urveying Fundamentals and Practices is an of great significance with regard to the many coordinate introductory textbook for use in colleges or tech- geometry (COGO) and computer-aided design (CAD) pro- nical schools where a basic but practical approach grams that are commercially available.It is essential that to surveying is desired.It is of value primarily to students technicians working on tasks related to surveying know the in civil and civil/construction technology programs.It is basic concepts related to the operation of surveying instru- also useful for self-instruction and for on-the-job training ments,and the analysis (reduction) of surveying data,to ofsurveying technicians.Others who may find this a useful avoid major blunders.Appendix Aprovides information on book are students and practitioners of architecture, the use oftraditional survey equipment and methods. geology, geography, forestry, real estate, and related sub- jects in which the measurement and mapping of natural NEW TO THIS EDITION land features,boundary lines,buildings,roads,and other infrastructure on the ground are important aspects. (cid:2) Chapter objectives at the beginning ofeach chapter This textbook is written in a clear and easy-to-read (cid:2) Coverage ofconstruction layout techniques that use elec- style,presenting the fundamentals of surveying at a level tronic equipment,current computer software,and RTK quickly grasped by most beginning students. In some (real-time kinematic) field procedures colleges,the traditional field ofsurveyingmay now be called (cid:2) Description ofcomputer modeling ofdata files geomatics,or geometronics,largely due to the changes in both (cid:2) Updated descriptions ofGPS (global positioning system), field and office practice resulting from computer technology GLONASS (global navigation satellite system),and applications,and the infusion ofGNSS (global navigational Galileo (Galileo radio navigation satellite system) satellite systems) and GIS (geographic information systems) into the topic.But the basic concepts remain the same.A In short,this textbook is designed as a reliable point of technician in this discipline who lacks a firm grasp of the beginning for those who will work with surveyors or who fundamentals of its scientific and mathematical underpin- will have to use or interpret surveying data in their careers, nings is working on shaky ground.This book provides the as well as for those who may choose to continue their acade- necessary solid foundation. mic study ofsurveying at a more advanced level.It includes In this textbook,the subject matter is organized into both examples and practice problems using Systéme Inter- three major sections: Part 1,Basic Concepts in Surveying; national (SI) metric units as well as U.S.Customary units of Part 2,Surveying Equipment and Field Methods;and Part 3, measurement,reflecting the current state of practice in the Surveying Applications. A review of basic mathematics, United States.Appendix B summarizes units and conver- including geometry and trigonometry,is included in Part 1, sions often used by the surveyor. End-of-chapter review rather than in the appendix,because of the importance of questions are provided and practice exercises are arranged these topics for technicians.Without a firm understanding in pairs of similar problems, with answers to the even- ofthe underlying mathematics,all the computer technology numbered problems given in Appendix Fand answers to the in the world will be oflittle use to a practitioner in surveying odd-numbered problems in a solutions manual available technology.The acronym GIGO (garbage in,garbage out) is from the publisher to instructors teaching a course. v vi Preface INSTRUCTOR RESOURCES licensed professional surveyor,engineer,and planner,who has many years ofexperience in private practice as well as in To access supplementary materials online, instructors teaching. need to request an instructor access code. Go to www. Mr.Michael T.Lanzafama and I thank the individuals pearsonhighered.com/irc, where you can register for an who reviewed the manuscript of this new book for offering instructor access code.Within 48 hours after registering, many helpful comments regarding its contents:Paul Lonie, you will receive a confirming email,including an instruc- Temple University;Robert M.McMillan,Sacramento City tor access code. Once you have received your code, go to College;and Hesham Mahgoub,South Dakota State Univer- the site and log on for full instructions on downloading sity. We also thank the editorial and production team at the materials you wish to use. Prentice Hall,whose guidance and encouragement helped us greatly.Ofcourse,we remain fully responsible for any errors ACKNOWLEDGMENTS that may be found,and we welcome any constructive com- ments or suggestions for the book’s improvement from The underlying foundation of this textbook was firmly those who use it. established by the late Philip Kissam,Professor Emeritus of Civil Engineering,Princeton University,whose very valuable JerryA.Nathanson,M.S.,P.E. contribution to surveying education is gratefully acknowl- Union County College,Cranford,NJ edged. Professor Jerry A. Nathanson prepared the fourth [email protected] edition ofPhilip Kissam’s popular textbook Surveying Prac- tice, which was published in 1988. This new textbook, a MichaelT.Lanzafama,P.E.,L.S.,P.P. derivative of the fourth edition of Surveying Practice,has Casey & Keller Inc.,Millburn,NJ been updated with the input ofMr.Michael T.Lanzafama,a [email protected] CONTENTS PART 1 BASIC CONCEPTS IN 3-3 Coordinate and Analytic SURVEYING 1 Geometry 49 Chapter 1 Practice Problems 52 INTRODUCTION 3 PART 2 SURVEYING EQUIPMENT AND 1-1 The Art and Science of FIELD METHODS 57 Surveying 3 Chapter 4 1-2 The Surveying Method 5 MEASURING HORIZONTAL DISTANCES 59 1-3 Surveying Applications 9 4-1 Rough Distance Measurement 59 1-4 Historical Background 11 4-2 Taping: Equipment and 1-5 The Profession of Surveying 14 Methods 61 1-6 Field Notes 14 4-3 Taping Mistakes, Errors, and 1-7 Geographic Information Corrections 71 Systems (GIS) 17 4-4 Electronic Distance Questions for Review 18 Measurement 75 Questions for Review 80 Chapter 2 Practice Problems 81 MEASUREMENTS AND COMPUTATIONS 19 2-1 Units of Measurement 19 Chapter 5 2-2 Computations 22 MEASURING VERTICAL DISTANCES 83 2-3 Mistakes and Errors 24 5-1 Principles of Leveling 83 2-4 Accuracy and Precision 27 5-2 Leveling Equipment 86 Questions for Review 30 5-3 Leveling Procedures 92 Practice Problems 31 5-4 Vertical Control (Benchmark) Surveys 98 Chapter 3 5-5 Profile Leveling 103 BASIC MATHEMATICS FOR SURVEYING 33 5-6 Trigonometric Leveling 106 3-1 Geometry and Mensuration 33 Questions for Review 108 3-2 Trigonometry 42 Practice Problems 108 vii viii Contents Chapter 6 8-3 Land Subdivisions 182 MEASURING ANGLES AND 8-4 Procedure for a Resurvey 186 DIRECTIONS 114 Questions for Review 192 6-1 Vertical Angles 115 Practice Problems 192 6-2 Horizontal Angles and Directions 115 Chapter 9 6-3 Magnetic Declination 122 TOPOGRAPHIC SURVEYS 6-4 The Theodolite 124 AND MAPS 196 6-5 Electronic Instruments 129 9-1 Plotting a Traverse 198 6-6 Measuring Horizontal and 9-2 Contour Lines 201 Vertical Angles 130 9-3 Topo Survey Procedures 205 6-7 Accuracy, Mistakes, and Errors 133 9-4 Basic Photogrammetry 217 Questions for Review 136 Questions for Review 224 Practice Problems 136 Practice Problems 224 PART 3 SURVEYING Chapter 10 APPLICATIONS 141 HIGHWAY CURVES AND Chapter 7 EARTHWORK 227 HORIZONTAL CONTROL SURVEYS 143 10-1 Route Surveys 227 7-1 Traverses 144 10-2 Horizontal Curves 228 7-2 Traverse Closure 10-3 Locating a Curve 231 Computations 147 10-4 Compound and Reverse 7-3 Traverse Area Curves 238 Computations 157 10-5 Vertical Curves 240 7-4 Miscellaneous 10-6 Curves Through Fixed Computations 160 Points 245 7-5 Elementary Triangulation and 10-7 Earthwork Computations 246 Trilateration 165 Questions for Review 254 7-6 Global Navigational Satellite Systems (GNSS) 168 Practice Problems 255 Questions for Review 169 Chapter 11 Practice Problems 170 CONSTRUCTION SURVEYS 260 11-1 Establishing Line 261 Chapter 8 11-2 Establishing Grade 263 PROPERTY SURVEYS 173 11-3 Slope Staking 268 8-1 Property Descriptions 174 11-4 Building and Pipeline 8-2 Legal Aspects 180 Stakeout 274 Contents ix 11-5 Additional Layout APPENDIX C: FORMULAS 298 Procedures 280 APPENDIX D: SOURCES OF ADDITIONAL Questions for Review 288 INFORMATION 302 Practice Problems 288 APPENDIX E: GLOSSARY AND ABBREVIATIONS 303 APPENDIX A: TRADITIONAL SURVEY EQUIPMENT AND METHODS 291 APPENDIX F: ANSWERS TO EVEN-NUMBERED PROBLEMS 315 APPENDIX B: UNITS AND CONVERSIONS 296 INDEX 333

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