كتاب Engineering Mechanics 2 - Mechanics of Materials

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Engineering Mechanics 2 - Mechanics of Materials
Dietmar Gross, Werner Hauger, Jorg Schroder, Wolfgang A. Wall, Javier Bonet

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Table of Contents
Introduction . 1
1 Tension and Compression in Bars
1.1 Stress 7
1.2 Strain 13
1.3 Constitutive Law 14
1.4 Single Bar under Tension or Compression 18
1.5 Statically Determinate Systems of Bars 29
1.6 Statically Indeterminate Systems of Bars 33
1.7 Supplementary Examples 40
1.8 Summary . 46
2 Stress
2.1 Stress Vector and Stress Tensor . 49
2.2 Plane Stress 52
2.2.1 Coordinate Transformation 53
2.2.2 Principal Stresses . 56
2.2.3 Mohr’s Circle 62
2.2.4 The Thin-Walled Pressure Vessel 68
2.3 Equilibrium Conditions . 70
2.4 Supplementary Examples 73
2.5 Summary . 75
3 Strain, Hooke’s Law
3.1 State of Strain . 79
3.2 Hooke’s Law . 84
3.3 Strength Hypotheses . 90
3.4 Supplementary Examples 92
3.5 Summary . 95
4 Bending of Beams
4.1 Introduction 99
4.2 Second Moments of Area . 101
4.2.1 Definitions 101
4.2.2 Parallel-Axis Theorem 108VIII
4.2.3 Rotation of the Coordinate System, Principal Moments
of Inertia 113
4.3 Basic Equations of Ordinary Bending Theory 117
4.4 Normal Stresses . 121
4.5 Deflection Curve 125
4.5.1 Differential Equation of the Deflection Curve . 125
4.5.2 Beams with one Region of Integration 129
4.5.3 Beams with several Regions of Integration 138
4.5.4 Method of Superposition 140
4.6 Influence of Shear . 151
4.6.1 Shear Stresses . 151
4.6.2 Deflection due to Shear 161
4.7 Unsymmetric Bending 162
4.8 Bending and Tension/Compression 171
4.9 Core of the Cross Section . 174
4.10 Thermal Bending . 176
4.11 Supplementary Examples 180
4.12 Summary . 187
5 Torsion
5.1 Introduction 191
5.2 Circular Shaft 192
5.3 Thin-Walled Tubes with Closed Cross Sections . 203
5.4 Thin-Walled Shafts with Open Cross Sections 212
5.5 Supplementary Examples 220
5.6 Summary . 228
6 Energy Methods
6.1 Introduction 231
6.2 Strain Energy and Conservation of Energy . 232
6.3 Principle of Virtual Forces and Unit Load Method . 242
6.4 Influence Coefficients and Reciprocal
Displacement Theorem 261
6.5 Statically Indeterminate Systems 265
6.6 Supplementary Examples 279
6.7 Summary . 286IX
7 Buckling of Bars
7.1 Bifurcation of an Equilibrium State . 289
7.2 Critical Loads of Bars, Euler’s Column . 292
7.3 Supplementary Examples 302
7.4 Summary . 305
Index .

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