Chapter 1 Stresses and Strains 1
1.1 What Is Mechanics of Materials 1
1.2 Basic Assumptions of Materials 2
1.3 External Forces 2
1.4 Internal Forces 3
1.5 Stresses 6
1.6 Strains 11
1.7 Deformations of Members 13
Problems 15
Chapter 2 Mechanical Properties of Materials 16
2.1 Tensile or Compressive Test 16
2.2 Tension of Low-Carbon Steel 16
2.3 Ductile and Brittle Materials 19
2.4 Stress-Strain Curve of Ductile Materials Without Distinct Yield Point 20
2.5 Percent Elongation and Percent Reduction in Area 21
2.6 Hooke's Law 21
2.7 Mechanical Properties of Materials in Compression 22
Chapter 3 Axial Tension and Compression of Bars 23
3.1 Definition of Axial Tension and Compression 23
3.2 Axial Force 24
3.3 Normal Stress on Cross Section 24
3.4 Saint-Venant's Principle 26
3.5 Normal and Shearing Stresses on Oblique Section 26
3.6 Normal Strain 29
3.7 Deformation of Axially Loaded Bar 31
3.8 Statically Indeterminate Axially Loaded Bar 33
3.9 Design of Axially Loaded Bar 34
3.10 Stress Concentrations 35
Problems 36
Chapter 4 Torsion of Shafts 39
4.1 Definition of Torsion 39
4.2 Twisting Moment 39
4.3 Hooke's Law in Shear 40
4.4 Shearing Stress on Cross Section of Circular Shaft 41
4.5 Normal and Shearing Stresses on Oblique Section of Circular Shaft 44
4.6 Angle of Twist 45
4.7 Statically Indeterminate Circular Shaft 47
4.8 Design of Circular Shaft 48
Problems 49
Chapter 5 Shearing Force and Bending Moment of Beams 53
5.1 Definition of Bending 53
5.2 Shearing-Force and Bending-Moment Diagrams 54
5.3 Relations Among Distributed Load,Shearing Force,and Bending Moment 58
5.4 Relations Among Concentrated Load,Shearing Force,and Bending Moment 61
Problems 63
Chapter 6 Normal Stress and Shearing Stress in Beams 66
6.1 Types of Bending 66
6.2 Normal Stresses on Cross Section in Pure Bending 67
6.3 Normal and Shearing Stresses on Cross Section in Transverse-Force Bending 72
6.4 Design of Prismatic Beams in Bending 77
Problems 78
Chapter 7 Deflection and Slope of Beams 81
7.1 Deformation of Beams 81
7.2 Method of Integration 83
7.3 Method of Superposition 85
7.4 Statically Indeterminate Beams 86
Problems 88
Chapter 8 Analysis of Stresses and Theories of Strength 92
8.1 State of Stress 92
8.2 Transformation of Plane Stress 93
8.3 Principal Stresses for Plane Stress 95
8.4 Maximum Shearing Stress for Plane Stress 98
8.5 Stresses in Pressure Vessels 100
8.6 Generalized Hooke's Law 102
8.7 Theories of Strength Under Plane Stress 105
Problems 112
Chapter 9 Combined Loadings 115
9.1 Definition of Combined Loadings 115
9.2 Stress in Bar Subjected to Eccentric Tension or Compression 116
9.3 Stress in I-Section Beam Subjected to Transverse Bending 118
9.4 Stress in Beam Subjected to Bending and Axial Tension/Compression 122
9.5 Stress in Shaft Subjected to Torsion and Bending 125
Problems 128
Chapter 10 Stability of Columns 131
10.1 Definition of Buckling 131
10.2 Critical Load of Long Slender Columns Under Centric Load with Pin Supports 132
10.3 Critical Load of Long Slender Columns Under Centric Load with Other Supports 134
10.4 Critical Stress of Long Slender Columns Under Centric Load 136
10.5 Critical Stress of Intermediate Length Columns Under Centric Load 137
10.6 Design of Columns Under Centric Load 139
Problems 140
Chapter 11 Energy Methods 143
11.1 External Work 143
11.2 Stain-Energy Density 145
11.3 Strain Energy 146
11.4 Principle of Work and Energy 151
11.5 Castigliano's Theorem 153
11.6 Unit Load Method 157
11.7 Applications of Energy Methods 160
Problems 162
Chapter 12 Dynamic Loadings 166
12.1 Definition of Impact Loadings 166
12.2 Vertical Impact 166
12.3 Horizontal Impact 169
Problems 172
Chapter 13 Statically Indeterminate Structures 175
13.1 Concept of Statically Indeterminate Structures 175
13.2 External and Internal Indeterminacy 175
13.3 Force Method for Analysis of Statically Indeterminate Structures 177
13.4 Force Method for Analysis of Symmetrical Indeterminate Structures 182
Problems 185
AppendixⅠ Geometrical Properties of Areas 191
Ⅰ.1 First Moment and Centroid 191
Ⅰ.2 First Moment and Centroid of a Composite Area 192
Ⅰ.3 Moment of Inertia and Polar Moment of Inertia 193
Ⅰ.4 Radius of Gyration and Polar Radius of Gyration 194
Ⅰ.5 Product of Inertia 194
Ⅰ.6 Parallel-Axis Theorem 195
AppendixⅡ Geometrical Properties of Rolled-Steel Shapes 196
Ⅱ.1 I-Steel 196
Ⅱ.2 Channel Steel 198
Ⅱ.3 Equal Angle Steel 200
Ⅱ.4 Unequal Angle Steel 203
AppendixⅢ Moment of Inertia and Polar Moment of Inertia of Commonly-Used Areas 206
AppendixⅣ Deflections and Slopes of Commonly-Used Beams 207
Glossaries 208
References 221