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 |  موضوع: كتاب Engineering Mechanics 1 Statics 2nd Edition الجمعة 24 نوفمبر 2017, 10:42 pm | |
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Engineering Mechanics 1 Statics 2nd Edition
Dietmar Gross, Werner Hauger, Jorg Schroder, Wolfgang A. Wall, Nimal Rajapakse
ويتناول الموضوعات الأتية :
Table of Contents
Introduction . 1
1 Basic Concepts
1.1 Force 7
1.2 Characteristics and Representation of a Force 7
1.3 The Rigid Body . 9
1.4 Classification of Forces, Free-Body Diagram 10
1.5 Law of Action and Reaction 13
1.6 Dimensions and Units 14
1.7 Solution of Statics Problems, Accuracy 16
1.8 Summary . 18
2 Forces with a Common Point of Application
2.1 Addition of Forces in a Plane . 21
2.2 Decomposition of Forces in a Plane, Representation in
Cartesian Coordinates 25
2.3 Equilibrium in a Plane . 29
2.4 Examples of Coplanar Systems of Forces . 30
2.5 Concurrent Systems of Forces in Space 38
2.6 Supplementary Problems 44
2.7 Summary . 49
3 General Systems of Forces, Equilibrium of a Rigid Body
3.1 General Systems of Forces in a Plane . 53
3.1.1 Couple and Moment of a Couple 53
3.1.2 Moment of a Force . 57
3.1.3 Resultant of Systems of Coplanar Forces 59
3.1.4 Equilibrium Conditions . 62
3.2 General Systems of Forces in Space . 71
3.2.1 The Moment Vector 71
3.2.2 Equilibrium Conditions . 77
3.3 Supplementary Problems 83
3.4 Summary . 88
4 Center of Gravity, Center of Mass, Centroids
4.1 Center of Forces . 91VIII
4.2 Center of Gravity and Center of Mass 94
4.3 Centroid of an Area 100
4.4 Centroid of a Line 110
4.5 Supplementary Problems 112
4.6 Summary . 116
5 Support Reactions
5.1 Plane Structures 119
5.1.1 Supports 119
5.1.2 Statical Determinacy . 122
5.1.3 Determination of the Support Reactions . 125
5.2 Spatial Structures . 127
5.3 Multi-Part Structures 130
5.3.1 Statical Determinacy . 130
5.3.2 Three-Hinged Arch . 136
5.3.3 Hinged Beam 139
5.3.4 Kinematical Determinacy 142
5.4 Supplementary Problems 145
5.5 Summary . 150
6 Trusses
6.1 Statically Determinate Trusses . 153
6.2 Design of a Truss . 155
6.3 Determination of the Internal Forces 158
6.3.1 Method of Joints 158
6.3.2 Method of Sections . 163
6.4 Supplementary Problems 167
6.5 Summary . 171
7 Beams, Frames, Arches
7.1 Stress Resultants 175
7.2 Stress Resultants in Straight Beams . 180
7.2.1 Beams under Concentrated Loads . 180
7.2.2 Relationship between Loading
and Stress Resultants 188
7.2.3 Integration and Boundary Conditions . 190
7.2.4 Matching Conditions . 195IX
7.2.5 Pointwise Construction of the Diagrams . 200
7.3 Stress Resultants in Frames and Arches 205
7.4 Stress Resultants in Spatial Structures . 211
7.5 Supplementary Problems 215
7.6 Summary . 220
8 Work and Potential Energy
8.1 Work and Potential Energy . 223
8.2 Principle of Virtual Work 229
8.3 Equilibrium States and Forces in Nonrigid Systems 231
8.4 Reaction Forces and Stress Resultants 237
8.5 Stability of Equilibrium States 242
8.6 Supplementary Problems 253
8.7 Summary . 258
9 Static and Kinetic Friction
9.1 Basic Principles . 261
9.2 Coulomb Theory of Friction 263
9.3 Belt Friction . 273
9.4 Supplementary Problems 278
9.5 Summary . 283
A Vectors, Systems of Equations
A.1 Vectors 286
A.1.1 Multiplication of a Vector by a Scalar 289
A.1.2 Addition and Subtraction of Vectors 289
A.1.3 Dot Product . 290
A.1.4 Vector Product (Cross-Product) . 291
A.2 Systems of Linear Equations 293
Index
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