instructor's manual to accompany elementary surveying

272 Pages·2010·3.52 MB·English

©2012 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected by Copyright and written permission should be obtained
from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying,
recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.

INSTRUCTOR’S MANUAL
TO ACCOMPANY

E S
LEMENTARY URVEYING
A I G
N NTRODUCTION TO EOMATICS

THIRTEENTH EDITION

Charles D. Ghilani and Paul R. Wolf

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©2012 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected by Copyright and written permission should be obtained
from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying,
recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
TABLE OF CONTENTS

Preface ............................................................................................................................................. 4 
1   Introduction ............................................................................................................................ 6 
2  Units, Significant Figures, and Field Notes ......................................................................... 11 
3  Theory of Errors in Observations ........................................................................................ 16 
4  Leveling Theory, Methods, and Equipment ........................................................................ 23 
5  Leveling — Field Procedures and Computations ................................................................ 30 
6  Distance Measurement ......................................................................................................... 44 
7  Angles, Azimuths, and Bearings .......................................................................................... 51 
8  Total Station Instruments; Angle Observations ................................................................... 58 
9  Traversing ............................................................................................................................ 65 
10  Traverse Computations ........................................................................................................ 70 
11  Coordinate Geometry in Surveying Calculations ................................................................ 82 
12  Area ...................................................................................................................................... 89 
13  Global Navigation Satellite Systems—Introduction and Principles of Operation ............... 97 
14  Global Navigation Satellite Systems—Static Surveys ...................................................... 102 
15  Global Navigation Satellite Systems—Kinematic Surveys ............................................... 110 
16  Adjustment by Least Squares ............................................................................................. 115 
17  Mapping Surveys ............................................................................................................... 128 
18  Mapping ............................................................................................................................. 134 
19  Control Surveys and Geodetic Reductions ........................................................................ 142 
20  State Plane Coordinates and Other Map Projections ......................................................... 149 
21   Boundary Surveys .............................................................................................................. 164 
22  Public Land Surveys .......................................................................................................... 173 
23  Construction Surveying ..................................................................................................... 178 
24  Horizontal Curves .............................................................................................................. 187 
25  Vertical Curves .................................................................................................................. 204 
26  Volumes ............................................................................................................................. 214 
27   Photogrammetry ................................................................................................................. 224 
28 Introduction to Geographic Information Systems.............................................................. 236

Part II: Sample Introductory Course .......................................................................................... 248 
Sample Syllabus .......................................................................................................................... 249 
Sample Practical Exercises ......................................................................................................... 252 
Sample Quizzes ........................................................................................................................... 256 
Quiz 1 .......................................................................................................................................... 256 
Quiz 2 .......................................................................................................................................... 256 
Quiz 3 .......................................................................................................................................... 257 
Quiz 4 .......................................................................................................................................... 257 
Quiz 5 .......................................................................................................................................... 258 
Quiz 6 .......................................................................................................................................... 258 
Sample Exams ............................................................................................................................. 260 
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from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying,
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Exam 1 ........................................................................................................................................ 260 
Exam 2 ........................................................................................................................................ 263 
Exam 3 ........................................................................................................................................ 265 
Final Exam .................................................................................................................................. 267 
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from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying,
recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
Preface
The Instructor’s Manual has been prepared as a convenience for instructors who adopt, for use in
their classes, the textbook ELEMENTARY SURVEYING (AN INTRODUCTION TO GEOMATICS), 13th
Edition, by Charles D. Ghilani and Paul R. Wolf. As a benefit to the instructor, each problem
consists of the book question and a derived solution. For most questions a reference to the
equations, section, and/or paragraph containing the answer has been included together with a
copy of the relevant material from the text. This is provided so that useful feedback and
references to the appropriate parts of the book can be easily provided to the students. Every
attempt has been made to provide correct responses to the questions, but most assuredly, a few
mistakes may have occurred. Please accept our apologies for them and correct them in your
printouts. Since there will be no reprints of the Instructors Manual, corrections will not be made
to these files. However, any erratum that is found is the book will be graciously accepted by the
author to update subsequent printings of this and future editions.
The companion website for this the book at http://www.pearsonhighered.com/ghilani
contains the software WOLFPACK, MATRIX, and STATS. These software packages are
discussed throughout the book were appropriate and can be used to check many of the solutions.
These software packages are freeware, and can be freely downloaded and installed on your
computer systems. However, they are only to be used for educational purposes and no support
for using these packages is implied or given. Discussions in the book and the accompanying help
file system should be sufficient for determining the proper procedures for using the software.
These software packages can be used by students to check their responses to numerical
questions in the book, or to do some of the more numerically intensive problems in the book that
would otherwise be extremely time-consuming. Additionally there is a software package called
PROBLEM GENERATOR, which uses a normal random number generator and statistics to
generate realistic data sets for a single observation, multiple observations, horizontal and vertical
networks, traverse problems, GNSS networks, and two-dimensional conformal coordinate
transformations. These software packages often only require coordinates of stations and the
desired observations to be determined. The generated observations are randomly perturbed using
a normal random number generator to create realistic data sets. This software can be used to
create instructor-generated additional problems for the practice and examination.
Also on the companion website is a Mathcad® electronic book (e-book) to accompany most
of the chapters in the book. Additionally, Mathcad worksheets have been developed for several
map projections mentioned in the book, but not thoroughly discussed. For those who do not have
Mathcad®, html files of these worksheets have also been placed on the companion website.
Additionally, several MS Excel® spreadsheets which demonstrate these computations are on the
companion website. All of the software on the companion website requires Windows 95 or later
operating system and have accompanying help files, which discuss their use. Mathcad requires
version 14.0 or higher.
Additionally, short videos of the solutions to some problems are available on the companion
website for this book.

Charles D. Ghilani
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©2012 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected by Copyright and written permission should be obtained
from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying,
recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
PART I:
SOLUTIONS TO PROBLEMS
5
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1 INTRODUCTION
1.1 Develop your personal definition for the practice of surveying.
Answers will vary by response. See Section 1.1 for book definitions.
1.2 Explain the difference between geodetic and plane surveys.
From Section 1.4,
In geodetic surveys the curved surface of the earth is considered by performing the
computations on an ellipsoid (curve surface approximating the size and shape of the
earth). In plane surveys, except for leveling, the reference base for fieldwork and
computations is assumed to be a flat horizontal surface. The direction of a plumb line
(and thus gravity) is considered parallel throughout the survey region, and all
measured angles are presumed to be plane angles.
1.3 Describe some surveying applications in:
(a) Construction
In construction, surveying is used to locate the precise location of structures such as
roads, buildings, bridges, and so forth. From the FIG definition of surveying, item 11:
"The planning, measurement and management of construction works, including the estimation of costs.
In application of the foregoing activities surveyors take into account the relevant
legal, economic, environmental, and social aspects affecting each project."
(b) Mining
In mining, surveying is used to direct the locations of mining activities according to a
systematic plan, to make sure mining occurs within the boundaries of the claim, to
connect tunnels and shafts, and to provide legal records of mining activities.
(c) Agriculture
In agriculture, surveying is used to determine the acreage of fields, to locate lines of
constant elevation for strip farming, to track harvesting machinery to enable the size
of the harvest, and to track the position of the planting equipment to allow for precise
applications of seeds and fertilizers. The field is known as high-precision agriculture.
1.4 List 10 uses for surveying other than property and construction surveying.
Some items students may lists include"
1. Establishing control for use in other surveys.
2. Mapping the surface of the Earth and other celestial objects with photogrammetry,
laser scanning, or remote sensing.
3. Mapping archeological artifacts.
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from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying,
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4. Mapping the bottom of oceans and waterways.
5. Creating Geographic and Land Information Systems for public use.
6. Performing ordinance surveys for the military.
7. Creating topographic maps.
8. Optical tooling.
9. Mapping of statues and other forms of artwork using terrestrial photogrammetry
or laser scanning.
10. Mapping of accident sites in forensic surveying.
1.5 Why is it important to make accurate surveys of underground utilities?
To provide an accurate record of the locations of these utilities so they can be found if
repairs or servicing is needed, and to prevent their accidental destruction during
excavation for other projects.
1.6 Discuss the uses for topographic surveys.
Topographic surveys are used whenever elevation data is required in the end product.
Some examples include (1) creating maps for highway design; (2) creating maps for
construction surveys; (3) creating maps for flood plain delineation; (4) creating maps for
site location of buildings; and so on.
1.7 What are hydrographic surveys, and why are they important?
From Section 1.6, hydrographic surveys define shorelines and depths of lakes, streams,
oceans, reservoirs, and other bodies of water. Sea surveying is associated with port and
offshore industries and the marine environment, including measurements and marine
investigations made by ship borne personnel.
1.8 Name and briefly describe three different surveying instruments used by early Roman
engineers.
From Section 1.3: (1) gromma, (2) libella, and (3) chorobates.
1.9 Briefly explain the procedure used by Eratosthenes in determining the Earth’s
circumference.
From Section 1-3, paragraph 8 of text: His procedure, which occurred about 200 B.C., is
illustrated in Figure 1-2. Eratosthenes had concluded that the Egyptian cities of Alexandria
and Syene were located approximately on the same meridian, and he had also observed that
at noon on the summer solstice, the sun was directly overhead at Syene. (This was apparent
because at that time of that day, the image of the sun could be seen reflecting from the
bottom of a deep vertical well there.) He reasoned that at that moment, the sun, Syene, and
Alexandria were in a common meridian plane, and if he could measure the arc length
between the two cities, and the angle it subtended at the earth's center, he could compute
the earth's circumference. He determined the angle by measuring the length of the shadow
cast at Alexandria from a tall vertical staff of known length. The arc length was found from
multiplying the number of caravan days between Syene and Alexandria by the average
daily distance traveled. From these measurements Eratosthenes calculated the earth's
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circumference to be about 25,000 mi. Subsequent precise geodetic measurements using
better instruments, but techniques similar geometrically to Eratosthenes', have shown his
value, though slightly too large, to be amazingly close to the currently accepted one.
1.10 Describe the steps a land surveyor would need to do when performing a boundary survey.
Briefly, the steps should include (1) preliminary walking of property with owner; (2)
courthouse research to locate deed of property and adjoiners to determine ownership,
possible easements, right-of-ways, conflicts of interest, and so on; (3) location survey of
property noting any encroachments; conflicting elements; and so on; (4) resolution of
conflicting elements between deed and survey; (5) delivery of surveying report to owner.
1.11 Do laws in your state specify the accuracy required for surveys made to lay out a
subdivision? If so, what limits are set?
Responses will vary
1.12 What organizations in your state will furnish maps and reference data to surveyors and
engineers?
Responses will vary but some common organizations are the (1) county surveyor, (2)
register of deeds, (3) county engineer, (4) Department of Transportation, (5) Department
of Natural Resources of its equivalent, and so on.
1.13 List the legal requirements for registration as a land surveyor in your state.
Responses will vary. Contact with you licensing board can be found on the NCEES
website at http://www.ncees.org/licensure/licensing_boards/.
1.14 Briefly describe the European Galileo system and discuss its similarities and differences
with GPS.
See Section 13.10.2. Students can look this information and much more with a web
search.
1.15 List at least five nonsurveying uses for GPS.
Responses may include (1) logistics in transportation; (2) hunting; (3) location of cell
phone calls; (4) timing of telecommunications networks; (5) navigation in the boating
industry; and so on.
8
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1.16 Explain how aerial photographs and satellite images can be valuable in surveying.
Photogrammetry presently has many applications in surveying. It is used, for example, in
land surveying to compute coordinates of section corners, boundary corners, or point of
evidence that help locate these corners. Large–scale maps are made by photogrammetric
procedures for many uses, one being subdivision design. Photogrammetry is used to map
shorelines, in hydrographic surveying, to determine precise ground coordinates of points
in control surveying, and to develop maps and cross sections for route and engineering
surveys. Photogrammetry is playing an important role in developing the necessary data
for modern Land and Geographic Information Systems.
1.17 Search the Internet and define a VLBI station. Discuss why these stations are important
to the surveying community.
VLBI stands for Very Long Baseline Interferometry. Responses will vary. These stations
provide extremely accurate locations on the surface of the Earth. The stations are used to
develop world-wide reference frameworks such as ITRF00. They also may provide
tracking information for satellites.
1.18 Describe how a GIS can be used in flood emergency planning.
Responses will vary but may mention the capabilities of a GIS to overlay soil type and
their permeability with slopes, soil saturation, and watershed regions. A GIS can also be
used to provide a list of business and residences that will be affected by possible flooding
for evacuation purposes. It can provide “best” routes out of a flooded region.
1.19 Visit one of the surveying web sites listed in Table 1.1, and write a brief summary of its
contents. Briefly explain the value of the available information to surveyors.
Responses will vary with time, but below are brief responses to the question
 NGS – control data sheets, CORS data, surveying software
 USGS – maps, software
 BLM – cadastral maps, software, ephemerides
 U.S. Coast Guard Navigation Center - GPS information
 U.S. Naval Observatory –Notice Advisory for NAVSTAR Users (NANU) and
other GPS related links
 American Congress on Surveying and Mapping (ACSM) – professional
organization for surveying and mapping profession
 American Society for Photogrammetry and Remote Sensing – professional
organization for photogrammetry and remote sensing
 The Pennsylvania State University Surveying Program – Access to latest software
that accompanies this book.
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