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CONTENTS

PREFACE 6
I INTRODUCTION TO STATICS 7
1 Mechanics 7
2 Fundamental Concepts 8
II STATICS 9
3 Force 9
4 Free-Body Diagrams 16
5 Fundamental Axioms of Statics 24
III CONCURRENT FORCE SYSTEM 27
6 Concurrent Force System 27
7 Condition for Equilibrium of a Body Under the 31
Acting of Concurrent Force System
8 General Procedure for Analysis of Statics Problems 34
IV MOMENT OF A FORCE 35
9 Moment of a Force – Scalar Formulation 35
10 Moment of a Force – Vector Formulation 37
11 Moment of a Force – Cartesian Vector Formulation 39
12 Moment of a Force About a Specified Axis 41
13 Varignon’s Theorem 43
V ARBITRARY FORCE SYSTEMS 45
14 Resultant Moment and Resultant Force of the Force
Systems 45
15 Moment of a Couple 46
16 Equivalent Couples 48
17 Resultant Couple Moment 49
18 Force–Couple Systems 50
19 Simplification of a Force and Couple System 51
20 Further Simplification of a Force and Couple System 53
21 Conditions for Rigid-Body Equilibrium 56
22 Equations of Equilibrium 58
23 Constraints and Statical Determinacy 61
24 Equilibrium of the System of Bodies 65
VI SOME SPECIAL TOPICS OF STATICS 66
25 Theory of Dry Friction 66
26 Problems Involving Dry Friction 72
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