Surveying volume 1 Fourth edition About the Author S K Duggal is currently Professor in the Department of Civil Engineering at Motilal Nehru National Institute of Technology (MNNIT), Allahabad. He obtained his BE, ME and PhD degrees from Allahabad University. He has an experience of more than 36 years of teaching at both undergraduate and postgraduate levels. Prof. Duggal has published numerous research papers in various international and national journals/conferences and is also the author of Design of Steel Structures, 3e and Limit State Design of Steel Structures, 1e published by McGraw Hill Education (India) Private Limited. Surveying volume 1 Fourth edition S K Duggal Professor Department of Civil Engineering Motilal Nehru National Institute of Technology Allahabad McGraw Hill Education (India) Private Limited New Delhi McGraw Hill Education Offices New Delhi New York St louis San Francisco Auckland Bogotá Caracas Kuala lumpur lisbon london Madrid Mexico City Milan Montreal San Juan Santiago Singapore Sydney Tokyo Toronto McGraw Hill Education (India) Private Limited Published by McGraw Hill Education (India) Private Limited P-24, Green Park Extension, New Delhi 110 016 Surveying, Volume 1, 4e Copyright © 2013, 2009, 2004, 1996, by McGraw Hill Education (India) Private Limited. No part of this publication may be reproduced or distributed in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise or stored in a database or retrieval system without the prior written permission of the publishers. 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However, neither McGraw Hill Education (India) nor its authors guarantee the accuracy or completeness of any information published herein, and neither McGraw Hill Education (India) nor its authors shall be responsible for any errors, omissions, or damages arising out of use of this information. This work is published with the understanding that McGraw Hill Education (India) and its authors are supplying information but are not attempting to render engineering or other professional services. If such services are required, the assistance of an appropriate professional should be sought. Typeset at Text-o-Graphics, B-1/56, Aravali Apartment, Sector-34, Noida 201 301, and printed at India Binding House, A-98, Sector 65, Noida, UP Cover Printer: India Binding House RYZLCRZORBLXL Contents Preface xv Visual Walkthrough xviii Introduction 1 1.1 Definitions 2 1.2 Surveying 4 1.3 Classification of Survey 5 1.4 Practice of Surveying 9 1.5 Surveying—Character of Work 10 1.6 Field Work 10 1.7 Office Work 13 1.8 Errors 19 1.9 Distinction Between Mistake and Error 20 1.10 Distinction between Precision and Accuracy 21 1.11 Principles of Surveying 22 1.12 Units of Measure 23 Summary 24 Exercises 24 Objective-type Questions 25 Answer to Objective-type Questions 28 Introduction 29 2.1 Chain Surveying 30 2.2 Chain 31 2.3 Tape 34 2.4 Accessories for Chaining 34 2.5 Line Ranger 36 2.6 Cross-Staff 37 2.7 Optical Square 38 2.8 Prism Square 40 2.9 Running Survey Lines 40 2.10 Linear Measurement with Chain 43 2.11 Errors in Chaining 48 2.12 Errors in Measurement with Incorrect Chain Length 49 2.13 Linear Measurements with Tape 51 2.14 Tape Corrections 53 2.15 Offsets 58 vii i Contents 2.16 Field Book 62 2.17 Obstacles to Chaining 64 2.18 Electromagnetic Distance Measurement (EDM) 69 Summary 79 Exercises 79 Objective-type Questions 82 Answer to Objective-type Questions 87 Introduction 88 3.1 Definitions 89 3.2 Types of Compass 91 3.3 Temporary Adjustments of Compass 95 3.4 Designation of Bearings 96 3.5 Reduced Bearing 97 3.6 Fore Bearing and Back Bearing 97 3.7 Calculation of Included Angles from Bearings 98 3.8 Calculation of Bearings from Included Angles 101 3.9 Magnetic Declination 104 3.10 Dip 107 3.11 Local Attraction 108 3.12 Determining True Meridian 119 3.13 Chain Surveying Versus Compass Surveying 120 Summary 120 Exercises 121 Objective-type Questions 122 Answer to Objective-type Questions 125 Introduction 126 4.1 Classification 127 4.2 Construction Details 128 4.3 Taking out Theodolite From the Box 131 4.4 Placing Theodolite in the Box 131 4.5 Reading a Theodolite 131 4.6 Definitions 132 4.7 Changing Face 133 4.8 Temporary Adjustments 134 4.9 Permanent Adjustments 136 4.10 Plate Level Test 137 4.11 Cross-Hair Ring Test 138 4.12 Collimation in Azimuth Test 138 4.13 Spire Test 139 4.14 Vertical Circle Index Test 140 4.15 Vertical Arc Test 141 4.16 Measurement of Horizontal Angle 141 4.17 Measurement of Vertical Angle 144 Contents ix 4.18 Measurement of Direct Angle 145 4.19 Measurement of Deflection Angle 145 4.20 Measurement of Magnetic Bearing 146 4.21 Prolonging a Straight Line 146 4.22 Theodolite as a Level 147 4.23 Care of Theodolite 147 4.24 Errors 148 4.25 Micrometer Microscope 152 4.26 Optical Theodolite 153 4.27 Electronic Theodolite 156 Summary 163 Exercises 163 Objective-type Questions 165 Answer to Objective-type Questions 170 Introduction 171 5.1 Methods of Traversing 172 5.2 Plotting Traverse Survey 173 5.3 Checks 190 5.4 Closing Error 191 5.5 Balancing a Traverse 192 5.6 Distribution of Angular Error 202 5.7 Adjustment of Bearings 202 5.8 Computation of Area of a Closed Traverse by Coordinates 202 5.9 Omitted Measurements 203 Summary 208 Exercises 208 Objective-type Questions 211 Answer to Objective-type Questions 213 Introduction 214 6.1 Definitions 215 6.2 Level 218 6.3 Types of Level 224 6.4 Levelling Staff 231 6.5 Temporary Adjustments 234 6.6 Permanent Adjustments 236 6.7 Principle of Levelling 239 6.8 Balancing Backsight and Foresight Distances 241 6.9 Optimum Distance from Level to Staff 242 6.10 Field Procedure in Levelling 243 6.11 Use of Inverted Staff 252 6.12 Spot Levels 253 6.13 Curvature and Refraction 253 6.14 Checks in Levelling 257 x Contents 6.15 Levelling for Grading a Plot of Land 258 6.16 Levelling a Borrow Pit 259 6.17 Longitudinal or Profile Levelling 259 6.18 Cross sectioning 260 6.19 Reciprocal Levelling 261 6.20 Precise Levelling 265 6.21 Fly Levelling 267 6.22 Check Levelling 268 6.23 Trigonometric Levelling 269 6.24 Barometric Levelling 278 6.25 Hypsometry 281 6.26 Levelling Difficulties 282 6.27 Errors in Levelling 284 Summary 286 Exercises 286 Objective-type Questions 293 Answer to Objective-type Questions 297 Introduction 298 7.1 Instruments Used 298 7.2 Methods of Tacheometry 301 7.3 Fixed Hair Method 302 7.4 Anallactic Lens 309 7.5 Movable Hair Method or Subtense Method 322 7.6 Tangential Method 326 7.7 Range Finding 329 7.8 Special Instruments 333 7.9 Omnimeter 339 7.10 Sources of Error 340 7.11 Mistakes 340 7.12 Accuracy 340 Summary 341 Exercises 342 Objective-type Questions 344 Answer to Objective-type Questions 347 Introduction 348 8.1 Description of Plane Table 349 8.2 Temporary Adjustments 353 8.3 Setting up the Plane Table 353 8.4 Methods of Plane Table Surveying 354 8.5 Radiation 355 8.6 Traversing 355 8.7 Intersection 356 8.8 Resection 357