Chapter 1 Introduction 1
1.1 Tasks of Mechanics of Materials 1
1.2 Basic Assumptions of Solid Bodies 2
1.3 Internal Forces,Stresses and Section Method 3
1.4 Strain 5
1.5 Basic Deformation Forms of Members 6
Chapter 2 Axial Tension(Compression),Mechanical Properties of Materials and Shear 8
2.1 Axial Force and Diagram of Axial Force 9
2.2 Normal Stress on the Cross Section of Members in Tension(Compression) 12
2.3 Stress on the Inclined Section of Members in Tension(Compression) 14
2.4 Stress Element of Members in Tension(Compression) 16
2.5 Mechanical Properties of Materials in Tension 17
2.6 Mechanical Properties of Materials in Compression 23
2.7 Allowable Stress and Strength Condition 25
2.8 Deformation of Members in Tension(Compression) 28
2.9 Stress Concentration 31
2.10 Shear and Practical Calculation of Strength of Connectors 32
2.11 Pure Shear 38
2.12 Hooke's Law in Shear 39
Exercises 41
Chapter 3 Torsion 47
3.1 External Torque,Power and Rotational Speed 48
3.2 Torque and Torque Diagram 49
3.3 Torsional Shear Stress of Circular Shafts 52
3.4 Polar Moment of Inertia for Circular Shafts and Tubes 56
3.5 Torsional Shear Stress of Thin-Wall Tubes 57
3.6 Torsional Strength Condition for Circular Shafts 57
3.7 Torsional Deformation and Rigidity Condition of Circular Shafts 58
Exercises 63
Chapter 4 Shear Forces and Bending Moments in Beams 67
4.1 Shear Force and Bending Moment 68
4.2 Relation between Load,Shear Force and Bending Moment 73
Exercises 76
Chapter 5 Stress Due to Bending 79
5.1 Normal Stress in Pure Bending 79
5.2 Normal Stress in Transverse Bending 83
5.3 Moments of Inertia of Common Cross Sections and Parallel Axis Theorem 84
5.4 Shear Stress in Bending 90
5.5 Measures to Enhance the Bending Strength of Beams 94
Exercises 97
Chapter 6 Deflection of Beams 101
6.1 Deflection and Slope of Beams 101
6.2 Approximate Differential Equation of the Deflection Curve 102
6.3 Integration Method 104
6.4 Method of Superposition 107
6.5 Rigidity Condition of Beams 111
Exercises 112
Chapter 7 Stress-State Analysis and Strength Theories 115
7.1 The Stress Element 115
7.2 Plane-Stress Transformation 117
7.3 Mohr's circle 121
7.4 Generalized Hooke's Law 124
7.5 Strength Theories and Equivalent Stress 126
Exercises 130
Chapter 8 Combined Deformation 133
8.1 Introduction 133
8.2 Bending and Tension or Compression 134
8.3 Bending and Torsion 137
Exercises 141
Chapter 9 Stability of Columns 146
9.1 Introduction 146
9.2 Critical Load for Slender Columns 147
9.3 Range of Applicability for Euler's Formula,Empirical Formulas and the Require-ment of Stability 151
Exercises 158
Appendix Ⅰ Properties of Steel Shapes 160
Appendix Ⅱ Slopes and Deflections of Beams under Simple Loading Conditions 170
References 173