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Vekeryk, V. I. Engineering mechanics [Текст] : textbook. Volume 1 : Statics. Kinematics / V. I. Vekeryk, I. Ya. Petryk, I. V. Tsidylo. – Ivano-Frankivsk : IFNTUOG, 2015. – 160 p. : іл. – (Каф. теоретичної механіки).
The textbook contains basic themes for the study of the discipline "Engineering mechanics". It is developed in accordance with the syllabus of educational discipline.
It is recommended for training bachelors in the field of study 6.050304 -"Petroleum engineering".
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
27 Wedges 76
28 Frietional Forces on Screws 78
29 Frietional Forces on Flat Belts 80
30 Rolling Resistance 83
VIT TRUSSES 85
31 Simple Trusses 85
32 Method of Joints 88
33 Zero-Force Members 89
34 Method of Sections 91
VIII WEIGHT AND THE CENTER OF GRAVITY 93
35 Center of Gravity, Center of Mass, and the Centroid
of a Body 94
36 Centroid of Some Simple Geometrical Figures 98
37 Ways of Determination Location the Center of
Gravity 101
IX KINEMATICS 103
38 Kinematics of Particle 103
39 Motion of Particle: Vectors 104
40 Motion of Particle: Cartesian Coordinates 107
41 Motion of Particle: Cylindrical Components 109
42 Natural Coordinate System (t, n, b axis) 114
43 Motion of Particle: Natural Coordinate System 115
44 Classification of Motion of a Particle by its Acceleration 116
X KINEMATICS OF RIGID BODY 120
45 Kinematics of Rigid Body: Basic Concepts 120
46 Planar Rigid Body Motion 122
47 Translation Motion 123
48 Rotation Rigid Body About Fixed Axis 125
49 Motion of Body's Point P 127
XI RELATIVE-MOTION ANALYSIS OF PARTICLE 130
50 Basic Definitions of Relative Motion of Particle 130
51 Relative-Motion Analysis of Particle: Velocity 133
52 Relative-Motion Analysis of Particle: Acceleration 135
53 Coriolis Acceleration 136
XII RELATIVE-MOTION ANALYSIS OF RIGID
BODY 137
54 General Plane Motion of A Rigid Body 137
55 Relative-Motion Analysis of Rigid Body: Velocity 139
56 Instantaneous Center of Zero Velocity 142
57 Relative-Motion Analysis of Rigid Body:
Acceleration 146
58 Rotation About a Fixed Point 149
XIII APPENDICES 154
INDEX 156
LITERATURE 159
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