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Gate_ME_Prelims.indd 1 5/2/2017 11:27:17 AM This page is intentionally left blank Gate_ME_Prelims.indd 2 5/2/2017 11:27:17 AM GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering Trishna Knowledge Systems Gate_ME_Prelims.indd 3 5/2/2017 11:27:17 AM Copyright © 2018 Pearson India Education Services Pvt. Ltd Published by Pearson India Education Services Pvt. Ltd, CIN: U72200TN2005PTC057128. No part of this eBook may be used or reproduced in any manner whatsoever without the publisher’s prior written consent. This eBook may or may not include all assets that were part of the print version. The publisher reserves the right to remove any material in this eBook at any time. ISBN 978-93-325-8279-8 eISBN: 978-93-530-6196-8 Head Office: 15th Floor, Tower-B, World Trade Tower, Plot No. 1, Block-C, Sector 16, Noida 201 301, Uttar Pradesh, India. 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Fax: 080-30461003, Phone: 080-30461060 www.pearson.co.in, Email: [email protected] Gate_ME_Prelims.indd 4 5/2/2017 11:27:17 AM Contents Preface viii Key Pedagogical Features x Syllabus: Mechanical Engineering xii Chapter-wise Analysis of Previous Years’ Papers xiii General Information about GATE xiv Solved Papers 2017 xvii Solved Papers 2018 xlix PART I General Aptitude 1.1 PART A Verbal Ability Chapter 1 Grammar 1.5 Chapter 2 Vocabulary 1.50 PART B Numerical Ability UNIT I Quantitative Aptitude 1.73 Chapter 1 Simple equationS 1.75 Chapter 2 Ratio-pRopoRtion-VaRiation 1.81 Chapter 3 numbeRS 1.87 Chapter 4 peRcentage, pRofit and loSS 1.102 Chapter 5 Simple inteReSt and compound inteReSt 1.109 Chapter 6 aVeRageS, mixtuReS and alligationS 1.115 Chapter 7 time and WoRk 1.122 Chapter 8 time and diStance 1.128 Chapter 9 indiceS, SuRdS, logaRithmS 1.134 Chapter 10 quadRatic equationS 1.141 Chapter 11 inequalitieS 1.147 Chapter 12 pRogReSSionS 1.151 Chapter 13 peRmutationS and combinationS 1.157 Chapter 14 data inteRpRetation 1.165 UNIT II Reasoning 1.181 Chapter 1 numbeR and letteR SeRieS 1.183 Chapter 2 analogieS 1.189 Chapter 3 odd man out (claSSification) 1.192 Chapter 4 coding and decoding 1.195 Chapter 5 blood RelationS 1.199 GATE ME Prelims.indb 5 4/10/2018 6:16:08 PM vi | Contents Chapter 6 Venn diagRamS 1.204 Chapter 7 Seating aRRangementS 1.208 Chapter 8 puzzleS 1.216 Chapter 9 clockS and calendaRS 1.229 PART II Engineering Mathematics 2.1 Chapter 1 lineaR algebRa 2.3 Chapter 2 calculuS 2.17 Chapter 3 diffeRential equationS 2.43 Chapter 4 complex VaRiableS 2.69 Chapter 5 pRobability and StatiSticS 2.81 Chapter 6 numeRical methodS 2.100 PART III Mechanical Engineering 3.1 UNIT I Engineering Mechanics 3.3 Chapter 1 intRoduction – foRceS, equilibRium 3.5 Chapter 2 fRee body diagRamS – tRuSSeS 3.17 Chapter 3 fRiction, centRe of gRaVity, moment of ineRtia 3.31 Chapter 4 RectilineaR motion 3.54 Chapter 5 cuRVilineaR motion 3.75 UNIT II Strength of Materials 3.93 Chapter 1 Simple StReSSeS and StRainS 3.95 Chapter 2 compound StReSSeS, SheaR foRce and bending momentS 3.108 Chapter 3 StReSSeS in beamS, cylindeRS and SpheReS 3.122 Chapter 4 deflection of beamS 3.138 Chapter 5 toRSion of ShaftS and SpRingS columnS 3.150 UNIT III Theory of Machine, Vibrations and Design 3.167 Chapter 1 kinematicS and dynamicS of mechaniSmS 3.169 Chapter 2 flyWheelS and geaR tRainS 3.229 Chapter 3 VibRationS 3.254 Chapter 4 theoRieS of failuRe, Static and dynamic loading 3.318 Chapter 5 deSign of machine elementS 3.340 UNIT IV Fluid Mechanics 3.387 Chapter 1 fluid pRopeRtieS and manometRy 3.389 Chapter 2 fluid pReSSuRe and buoyancy 3.415 GATE ME Prelims.indb 6 4/10/2018 6:16:08 PM Contents | vii Chapter 3 fluid kinematicS and dynamicS 3.435 Chapter 4 ViScouS floW of incompReSSible fluidS 3.473 Chapter 5 tuRbo machineRy 3.502 UNIT V Heat Transfer 3.527 Chapter 1 conduction 3.529 Chapter 2 foRced conVection 3.558 Chapter 3 natuRal conVection and maSS tRanSfeR 3.573 Chapter 4 Radiation and heat tRanSfeR 3.583 Chapter 5 heat exchangeR, boiling and condenSation 3.600 UNIT VI Thermodynamics 3.619 Chapter 1 baSic conceptS of theRmodynamicS and fiRSt laW of theRmodynamicS 3.621 Chapter 2 Second laW of theRmodynamicS 3.650 Chapter 3 pRopeRtieS of puRe SubStanceS 3.679 Chapter 4 inteRnal combuStion (ic) engineS 3.694 Chapter 5 theRmodynamic cycle 3.711 Chapter 6 RefRigeRation and aiR conditioning 3.739 UNIT VII Manufacturing Technology 3.761 Chapter 1 StRuctuRe and pRopeRtieS of mateRialS 3.763 Chapter 2 metal caSting and foRming 3.784 Chapter 3 Sheet metal WoRking, Joining pRoceSSeS 3.813 Chapter 4 machining and machine tool opeRationS 3.833 Chapter 5 metRology and inSpection, computeR integRated manufactuRing 3.858 UNIT VIII Industrial Engineering 3.885 Chapter 1 WoRk Study 3.887 Chapter 2 pRoduction planning and contRol 3.896 Chapter 3 mateRial RequiRement planning and inVentoRy contRol 3.914 Chapter 4 opeRationS ReSeaRch-1 3.934 Chapter 5 netWoRk analySiS and queuing theoRy 3.965 GATE ME Prelims.indb 7 4/10/2018 6:16:09 PM Preface Graduate Aptitude Test in Engineering (GATE) is one of the preliminary tests for undergraduate subjects in Engineering/ Technology/Architecture and postgraduate subjects in Science stream only. The number of aspirants appearing for the GATE examination is increasing significantly every year, owing to multifac- eted opportunities open to any good performer. Apart from giving the aspirant a chance to pursue an M.Tech. from insti- tutions like the IITs /NITs, a good GATE score can be highly instrumental in landing the candidate a plush public sector job, as many PSUs are recruiting graduate engineers on the basis of their performance in GATE. The GATE examination pattern has undergone several changes over the years—sometimes apparent and sometimes subtle. It is bound to continue to do so with changing technological environment. GATE Mechanical Engineering, as a complete resource helps the aspirants be ready with conceptual understanding, and enables them to apply these concepts in various applications, rather than just proficiency with question types. Topics are handled in a comprehensive manner, beginning with the basics and progressing in a step-by-step manner along with a bottom-up approach. This allows the student to better understand the concept and to practice applicative techniques in a focused manner. The content has been systematically organized to facilitate easy understanding of all topics. The given examples will not only help the students to understand the concepts involved in the problems but also help to get a good idea about the different models of problems on a particular topic. Due care has also been taken to cover a very wide range of problems including questions that have been appearing over the last few years in GATE examination. The practice exercises in every chapter, contain questions ranging from simple to moderate to difficult level. These exer- cises are meant to hone the examination readiness over a period of time. At the end of each unit, practice tests have been placed. These tests will help the student assess their level of learning on a regular interval. This book has been prepared by a group of faculty who are highly experienced in training GATE candidates and are also subject matter experts. As a result, this book would serve as an effective tool for GATE aspirant to crack the examination. Salient Features of Revised Edition 1. Elaborate question bank covering previous 15 years’ GATE question papers 2. 5 free online mock tests for practice 3. Detailed coverage of key topics 4. Complete set of solved 2017 and 2018 GATE online papers with chapter-wise analysis 5. Exhaustive pedagogy: (a) More than 1700 Solved Examples (b) More than 6000 Practice Questions (c) Unit-wise time-bound tests (d) Modular approach for easy understanding We would like to thank the below-mentioned reviewers for their valuable feedback and suggestions which has helped in shaping this book. Ravinderjit Singh Walia Associate Professor, Delhi Technological University, Main Bawana Road, Delhi Rajesh Kumar Associate Professor, Delhi Technological University, Main Bawana Road, Delhi Pushpendra Singh Associate Professor, Delhi Technological University, Main Bawana Road, Delhi Raj Kumar Singh Associate Professor, Delhi Technological University, Main Bawana Road, Delhi Atul Agarwal Associate Professor, Delhi Technological University, Main Bawana Road, Delhi Vijay Shanker HoD, Fluid Mechanics, Lovely Professional University, Phagwara, Punjab M Sreedhar Assistant Professor, Lovely Professional University, Phagwara, Punjab Anil Kumar Reddy Padidam Assistant Professor, Lovely Professional University, Phagwara, Punjab Anil Ghubade Assistant Professor, Lovely Professional University, Phagwara, Punjab Harpinder Singh Assistant Professor, Lovely Professional University, Phagwara, Punjab Pradeep Sharma Subject Matter Expert, Electrical Engineering GATE ME Prelims.indb 8 4/10/2018 6:16:09 PM Andriya Narasimhula Assistant Professor, Netaji Subhas Institute of Technology, Dwarka, Delhi Uday Pratap Singh Assistant Professor, JSS Academy of Technical Education, Sector-62, Noida ( U.P.) Vinay Lecturer, Lovely Professional University, Phagwara, Punjab Despite of our best efforts, some errors may have inadvertently crept into the book. Constructive comments and suggestions to further improve the book are welcome and shall be acknowledged gratefully. Wishing you all the very best! —Trishna Knowledge Systems GATE ME Prelims.indb 9 4/10/2018 6:16:09 PM