Engineering mechanics : statics

293 Pages·2018·10.431 MB·English

by  Sharma, Vikrant

ENGINEERING MECHANICS
STATICS
Special Thanks
to
Mr. Vibhor Sharma, Assistant Professor, Transportation,
MIT Institute of Design, Pune
for
drawing artful illustrations and figures using Photoshop software
which has enhanced the effectiveness of the text.
ENGINEERING MECHANICS
STATICS
Vikrant Sharma
Atul Kumar
N S Baruaole†
Mukesh Kumar
α
Alpha Science International Ltd.
Oxford, U.K.
Engineering Mechanics Statics
292 pgs. | 478 figs. | 11 tbls.
Vikrant Sharma
Atul Kumar
N S Baruaole†
Mukesh Kumar
Mechanical and Engineering Department
Mody University
Lakshmangarh
Copyright © 2018
ALPHA SCIENCE INTERNATIONAL LTD.
7200 The Quorum, Oxford Business Park North
Garsington Road, Oxford OX4 2JZ, U.K.
www.alphasci.com
ISBN 978-1-78332-356-2
All rights reserved. No part of this publication may be reproduced, stored in
a retrieval system, or transmitted in any form or by any means, electronic,
mechanical, photocopying, recording or otherwise, without prior written
permission of the publisher.
Sincerely Dedicated
to
The Lord Ganesha
&
to our loving parents, family and friends
In the loving memory of our Co-Author
& former Head of Department
(Late) Sh. Nitin S. Baruaole
Preface
Engineering Mechanics: Statics, deals with the behavior of bodies under the action of
forces. It is the foundation of engineering disciplines hence, necessary for the students
of engineering. The objective of this book is to develop a fundamental knowledge of
‘Statics’ and ability to analyze problems in real life with a simple and logical manner
for carrying out substantial engineering design.
Based on our classroom experiences, we have designed this textbook in a clear
and concise language. The purpose is to present the concepts and principles of
‘Statics’ in a systematic approach to help the students understand the subject. We have
invested a great deal of attention to learn the fundamental principles of statics and
the development of problem-solving skills. The book would be useful for engineering
students and the professionals as well.
Large numbers of solved problems are selected to help students understand the
intricacies of engineering problems and to analysis. Practice problems are provided
for each unit, based on principles of statics and real-life engineering problems that
are applicable to engineering designs. Each unit also lists a summary of key concepts
to facilitate further learning.
We wish to express our thanks to all colleagues and friends who have provided
valuable inputs during preparation of this text book. Our special thanks to Dr. V. K.
Jain, Dean, Mr. Satyajeet Anand and Mr. Mukul Kant Paliwal, Assistant Professors,
CET Mody University for their valuable guidance. We also thank all of our students
at CET, Mody University.
Finally, our sincere thanks to Narosa Publishing House, for taking interest and
publishing this book in the best possible form.
Vikrant Sharma
Atul Kumar
N S Baruaole†
Mukesh Kumar

Contents
Preface vii
0. Introduction 0.1—0.5
0.1 Mechanics 0.3
0.2 Basic Concept 0.3
0.3 Fundamental Laws 0.4
0.4 Units 0.5
1. Co-planer System of Forces 1.1—1.76
1.1 Introduction to Force 1.3
1.2 Classification of Force 1.4
1.2.1 System of Forces 1.4
1.3 Resultant Force 1.7
1.3.1 Resultant of Collinear Forces 1.7
1.3.2 Resultant of Concurrent Forces 1.7
1.4 Resolution of a Force 1.10
1.5 Moment 1.13
1.5.1 Resultant Moment 1.14
1.5.2 Varignon’s Theorem (Principle of Moment) 1.14
1.5.3 Resultant of Parallel Force System 1.15
1.6 Couple 1.16
1.6.1 Moment of a Couple 1.17
1.6.2 Force–Couple System 1.17
1.7 Equivalent Systems of Forces 1.18
Solved Examples Based on Parallelogram Law of Forces 1.18
Solved Examples Based on Resolution of Forces 1.26
Solved Examples Based on Co-planer Concurrent Forces 1.35
Solved Examples Based on Moment & Non-Concurrent Forces 1.43
Solved Examples Based on Parallel Forces 1.55
Solved Examples Based on Force-Couple System and Equivalent System 1.59
Summary 1.70
Problems 1.71
2. Equilibrium of System of Forces 2.1—2.38
2.1 Equilibrium 2.3
2.2 Free Body Diagram (F.B.D.) 2.3
2.2.1 General Procedure for Constructing a Free Body Diagram 2.6
2.2.2 Examples on Free Body Diagram (FBD) 2.6
2.3 Equilibrium for Different Force System (Based on Number of Forces) 2.8