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Published by :, , LAXMI PUBLICATIONS (P) LTD, 22, Golden House, Daryaganj,, New Delhi-110002., , _ | 011-28 26 23 68, deeata | 011-23 26 23 70, . | 011-2325 25 72, Faxes: paerets, , Branches :, , e 129/1, IlIrd Main Road, IX Cross, Chamrajpet, Bangalore (Phone : 080-26 61 15 61), e 26, Damodaran Street, T. Nagar, Chennai (Phone : 044-24 34 47 26), , @ St. Benedict's Road, Cochin (Phone : 0484-239 70 04), , e Pan Bazar, Rani Bari, Guwahati (Phones : 0361-254 36 69, 251 38 81), , @ 4-2-453, Ist Floor, Ramkote, Hyderabad (Phone : 040-24 75 02 47), , e Adda Tanda Chowk, N.D. 365, Jalandhar City (Phone : 0181-222 12 72), , e 106/A, Ist Floor, S.N. Banerjee Road, Kolkata (Phones : 033-22 27 37 73, 22 27 52 47), @ 18, Madan Mohan Malviya Marg, Lucknow (Phone : 0522-220 95 78), , @ 128A, Block 3, First Floor, Noorani Building, L.J, Road, Mumbai (Phone : 022-24 46 39 98), e Radha Govind Street, Tharpagna, Ranchi (Phone : 0651-230 77 64), , EMAIL :; [email protected], , WEBSITE : www.laxmipublications.com, EEM-0552-240-ENGG MECHANICS, © Dr. R.K. Bansal and Sanjay Bansal, , All Rights Reserved. This book, or part thereof, may not be reproduced in any form or translated with, the written permission of the authors and the publishers., , Compiled by : Smt. Nirmal Bansal, , First Edition : 1991 Reprint : 1992, 1993, , Second Edition : 1994 Third Edition : 1996, , Reprint : 1997, 1998, 1999, 2000, 2001, Jan. 2001, , Fourth Edition : 2002 Reprint : April 2003, March 2004, Reprint : October 2004, June 2005, , Price : Rs. 240.00 Only, , C—10642/05/06, , , , Typesetting by : Goswami Printers, Delhi-110053. Printed at ; Sanjeev Offset Printers, Delhi.

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Contents, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , Chapter Pages, PART J—STATICS, , 1, Fundamentals of Engineering Mechanics 1—23, , 1.1L___Introduction 1, , 1.2.___Definitions i, , 1.2.1. Vector quantity 1, , 1.2.2. Scalar quantity 1, , 1.2.3. Aparticle 1, , 1.2.4. _ Law of parallelogram of forces 1, , 1.2.5. Law of triangle of forces 4, , 1.2.6.__Lami’s theorem 4, , 1.3. __ System of Units 5, , L3.1. _C.G.S. system of units 5, , 1.3.2. _M.K.S. system of units 5, , 1.3.3. _S.1. system of units 5, , 1.4. _Trigonometric Formulae and Expressions 6, , 1.5. _ Differentiation and Integration 6, , 15.1. _Differentiations 6, , 1.5.2. Integrations 7, , Solved Problems 1.1—1.9 7, , 1.6. _ Resolution of a Force 14, , 1.7. Resolution of a Number of Coplanar Forces 14, , Solved Problems 1.10—1.12 14, , 1.8. Moment of a Force 16, , 1.8.1. Units of moment 17, , 1.8.2. Effect of Force and moment on a body 17, , Solved Problem 1.13 17, , 1.9. Laws of Mechanics 18, , 1.9.1. | Newton's first and second laws of motion 19, , 1.9.2. Newton's third law 19, , 1.9.3. The Gravitional law of attraction 19, , 1.9.4. The parallelogram law 20, , 1.9.5. The Principle of transmissibility of forces 21, , Highlights 21, , Exercise 1 22, , 2.__Coplanar, Collinear and Concurrent Forces 24—42, , 2.1. Introduction 24, , 2.2. _ Classification of a Force System 24, , 2.2.1. | Coplanar collinear 24, , 2.2.2. - Coplanar concurrent 25, , 2.2.3. _ Coplanar parallel 25, , 2.2.4. _ Coplanar non-concurrent, non-parallel 25, , 2.3., , , , Resultant of Several Forces

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Chap., , ( viii ), , , , 2.4., , Resultant of Coplanar Forces, , , , 2.6. _ Resultant of Collinear Coplanar Forces, , , , 2.5.1. Analytical method, , , , 2.5.2. _ Graphical method, , , , Solved Problem 2.1, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , Pages, , 26, , 26, , 26, , 26, , 26, , 2.6. _ Resultant of Concurrent Coplanar Forces 27, , 2.6.1. When two forces act at a point 27, , 2.6.2. _ When more than two two forces act at a point 28, Solved Problems 2,2—2,10 30, , Highlights 41, , Exercise 2 41, , 3. Coplanar Parallel Forces 43—60, , &1L___Introduction 43, , 3.2.___Moment of a Force 43, , Solved Problem 3.1 44, , 3.3. Principle of Moments (or Varignon's Principle) 44, , Solved Problem 3.2 46, , 3.4. Types of Parallel Forces 47, , 3.4.1, Like parallel forces 47, , 3.4.2. Unlike parallel forces 47, , 3.5.___Resultant of Two Parallel Forces 47, , 3.5.1. Resultant of two like parallel forces 47, , 3.5.2. Resultant of two unlike parallel forces (unequal in magnitude) 48, , 3.5.3. Resultant of two unlike parallel forces which are equal, , in magnitude 49, , Solved Problems 3.3—3.5 7 49, , 3.6. _ Resolution of a Force into a Force and a Couple 52, , Solved Problem 3.6 52, , 3.7. General Case of Parallel Forces in a Plane 54, , Solved Problems 3.7—3.8 54, , 3.8. _ Equivalent System. 55, , Solved Problems 3.9—3.10 55, , Highlights 57, , Exercise 3 58, , 4. Conditions of Equilibrium 61—91, , 41.____Intreduction 61, , 4.2. Principle of Equilibrium 61, , 4.2.1, Equations of equilibrium for non-current forces systems 61, , 4.2.2. Equations of equilibrium for concurrent force system 61, , 4.3. Force Law of Equilibrium Pon 62, , 4.3.1, Two force system ”, , 4.3.2, Three force system - 62, , 4.3.3. Four force system 63, , Solved Problems 4.1—4.7 63, , 4.4. Action and Reaction 71, , , , Copyrighted materia

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(ix), , , , , , , , , , , , , , , , , , , , , , , , , , , , , , : Chap. . Pages, 4.5. Free Body Diagram ai 72, Solved Problems 4.8-—4.2] 72, Highlights as 88, Exercise a8, 5.__ Support Reactions §2—113, {.1._Introduction 92, 5.2. Types of Supports a 92, 5.2.1. Simple support or knife edge support = 92, 5.2.2. Roller support os 92, 5.2.3. Pin joint (or hinged) support = 92, 5.2.4. Smooth surface support = 93, 6.2.5. Fixed or built-in support ae 93, 5.3. _ Types of Loading eas 93°, , 6.3.1. Concentrated or point load 93, 5.3.2. Uniformly distributed load 94, 6.3.3. Uniformly varying load sti 94, Method for Finding out the Reactions of a Beam a 94, 5.4.1. Analytical method 94, 5.4.2. _ Graphical method for finding out the reactions of a beam 94, , 95, , 5.5. Problems on Simple Supported Beams ia i, Solved Problems 5.1—5.5 95, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , 5.6. __ Problems on Overhanging Beams ” 100,, Solved Problems 5.6—5.7 100, , 6.7. Problems on. Roller and Hineed Supported Beams ‘is 101, 5.8. Problems When Senate are Subjected to Couples ss 110, ‘Solved Problem 6.13 110, Highlights ~ lu, Exercise 5 - ill, 6.__Analysis of Perfect Frames 114—153, 6.1. Introduetion 114, 6.2. Types of Frames = 114, 6.2.1, Perfect frame 114, , 6.2.2. Imperfect frame we 115, , 6.3. _ Assumptions Made in Finding out the Forces in a Frame ia 115, 6.4. Reactions of Supports of a Frame = 115, 6.5. Analysis of a Frame a 116, 6.5.1. Method of joints st 116, Solved Problems 6.1—6.6. U6, , 6.5.2. _ Method of joints applied to cantilever trusses 5 127, Solved Problems 6.6—6.7_ 127, , 6.5.3. _ Method of joints applied to trusses carrying horizontal loads 555 129, Solved Problems 6.8—6.9 130, , 6.5.4. Method of joints applied to trusses carrying inclined loads Ps 134, Solved Problem 6.10 134, , , , Copyrighted material