Thisbookisabilingualtextbookformechanicsofmaterials,writtenindependentlyinEnglishandChinese,respectively.Themaincontentsofthebookincludemechanicsofmaterialsfundamentals,axialtensionandcompression,torsion,bendinginternalforces,bendingstresses,bendingdeformation,stressanalysisandstrengththeories,combinedloadings,stabilityofcolumn,unsymmetricalbending,energymethods,impactloading,staticallyindeterminatestructures,etc.《BR》 本书是材料力学双语教材，分别由英文和中文独立编写。本书主要内容包括材料力学基础、轴向拉伸与压缩、扭转、弯曲内力、弯曲应力、弯曲变形、应力分析与强度理论、组合载荷、压杆稳定、非对称弯曲、能量方法、冲击载荷和静不定结构等。
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Contents
Chapter 1 Mechanics of Materials Fundamentals 1
1.1 External Forces 1
1.2 Internal Forces 2
1.3 Stresses 3
1.4 Strains 7
1.5 Hooke’s Law 9
1.6 Tensile Properties of Low-Carbon Steel 9
1.7 Stress-Strain Curve of Ductile Materials Without Distinct Yield Point 11
1.8 Ductile and Brittle Materials 12
1.9 Properties of Materials in Compression 12
Problems 13
Chapter 2 Axial Tension and Compression 15
2.1 Axial Force 15
2.2 Normal Stress on Cross Section 15
2.3 Normal and Shearing Stresses on Oblique Section 16
2.4 Normal Strain 18
2.5 Tensile and Compressive Deformation 19
2.6 Statically Indeterminate Bar in Tension and Compression 21
2.7 Design of Tensile and Compressive Bar 22
Problems 22
Chapter 3 Torsion 25
3.1 Torsional Moment 25
3.2 Hooke’s Law in Shear 25
3.3 Shearing Stress on Cross Section 26
3.4 Normal and Shearing Stresses on Oblique Section 29
3.5 Angle of Twist 29
3.6 Statically Indeterminate Shaft 31
3.7 Design of Torsional Shaft 31
Problems 32
Chapter 4 Bending Internal Forces 35
4.1 Shearing-Force and Bending-Moment Diagrams 35
4.2 Relations Between Distributed Load, Shearing Force, and Bending Moment 38
4.3 Relations Between Concentrated Load, Shearing Force, and Bending Moment 40
Problems 42
Chapter 5 Bending Stresses 44
5.1 Normal Stresses on Cross Section in Pure Bending 44
5.2 Normal and Shearing Stresses on Cross Section in Transverse-Force Bending 48
5.3 Design of Bending Beam 52
Problems 53
Chapter 6 Bending Deformation 56
6.1 Method of Integration 57
6.2 Method of Superposition 58
6.3 Statically Indeterminate Beam 59
Problems 60
Chapter 7 Stress Analysis and Strength Theories 62
7.1 Stress Transformation 62
7.2 Principal Stresses 64
7.3 Maximum Shearing Stress 66
7.4 Pressure Vessels 67
7.5 Generalized Hooke’s Law 69
7.6 Strength Theories 71
Problems 75
Chapter 8 Combined Loadings 77
8.1 Bar in Eccentric Tension or Compression 77
8.2 I-Beam in Transverse-Force Bending 79
8.3 Beam in Bending and Tension/Compression 82
8.4 Shaft in Torsion and Bending 83
Problems 86
Chapter 9 Stability of Column 88
9.1 Critical Load of Long Column with Pin Supports 88
9.2 Critical Load of Long Column with Other Supports 89
9.3 Critical Stress of Long Column 90
9.4 Critical Stress of Intermediate Column 91
9.5 Design of Column 92
Problems 94
Chapter 10 Unsymmetrical Bending 96
10.1 Unsymmetrical Pure Bending 96
10.2 Unsymmetrical Transverse-Force Bending 99
Problems 104
Chapter 11 Energy Methods 106
11.1 External Work 106
11.2 Stain-Energy Density 107
11.3 Strain Energy 108
11.4 Principle of Work and Energy 111
11.5 Reciprocal Theorem 112
11.6 Castigliano’s Theorem 113
11.7 Principle of Virtual Work 116
11.8 Unit Load Method 118
11.9 Applications of Energy Methods 120
Problems 121
Chapter 12 Impact Loading 125
12.1 Vertical Impact 125
12.2 Horizontal Impact 127
Problems 129
Chapter 13 Statically Indeterminate Structures 131
13.1 Static Indeterminacy 131
13.2 Force Method for Analysis of Statically Indeterminate Structures 132
13.3 Force Method for Analysis of Symmetrical Statically-Indeterminate Structures 137
Problems 139
Appendix I Properties of Area 143
I.1 First Moment (Static Moment) 143
I.2 Moment of Inertia and Polar Moment of Inertia 144
I.3 Radius of Gyration and Polar Radius of Gyration 144
I.4 Product of Inertia 145
I.5 Parallel-Axis Theorem 145
I.6 Properties of Commonly-Used Areas 146
Appendix II Shape Steels 147
II.1 I-Steel 147
II.2 Channel Steel 148
II.3 Equal Angle Steel 149
II.4 Unequal Angle Steel 151
Appendix III Deflection Curves 154
References 155
目录
第1章 材料力学基础 156
1.1 外力 156
1.2 内力 157
1.3 应力 158
1.4 应变 160
1.5 胡克定律 162
1.6 低碳钢拉伸性能 162
1.7 无明显屈服点塑性材料的应力应变曲线 164
1.8 塑性材料和脆性材料 165
1.9 材料压缩性能 165
习题 165
第2章 轴向拉伸与压缩 167
2.1 轴力 167
2.2 横截面正应力 167
2.3 斜截面正应力和剪应力 168
2.4 线应变 170
2.5 拉压变形 171
2.6 静不定拉压杆 172
2.7 拉压杆设计 173
习题 173
第3章 扭转 176
3.1 扭矩 176
3.2 剪切胡克定律 176
3.3 横截面剪应力 177
3.4 斜截面正应力和剪应力 179
3.5 扭转角 180
3.6 静不定轴 180
3.7 扭转轴设计 181
习题 182
第4章 弯曲内力 184
4.1 剪力图和弯矩图 184
4.2 分布载荷、剪力和弯矩之间的关系 186
4.3 集中载荷、剪力和弯矩之间的关系 188
习题 189
第5章 弯曲应力 191
5.1 纯弯曲横截面正应力 191
5.2 横力弯曲横截面正应力和剪应力 194
5.3 弯曲梁设计 197
习题 198
第6章 弯曲变形 201
6.1 积分法 202
6.2 叠加法 203
6.3 静不定梁 203
习题 204
第7章 应力分析与强度理论 206
7.1 应力变换 206
7.2 主应力 208
7.3 最大剪应力 209
7.4 压力容器 211
7.5 广义胡克定律 212
7.6 强度理论 214
习题 217
第8章 组合载荷 218
8.1 偏心拉压杆 218
8.2 横力弯曲工字梁 219
8.3 拉压弯曲梁 221
8.4 弯曲扭转轴 223
习题 225
第9章 压杆稳定 227
9.1 两端铰支细长压杆临界载荷 227
9.2 其他支撑细长压杆临界载荷 228
9.3 细长压杆临界应力 228
9.4 中长压杆临界应力 229
9.5 压杆设计 230
习题 232
第10章 非对称弯曲 233
10.1 非对称纯弯曲 233
10.2 非对称横力弯曲 236
习题 239
第11章 能量方法 241
11.1 外功 241
11.2 应变能密度 242
11.3 应变能 243
11.4 功能原理 245
11.5 互等定理 246
11.6 卡氏定理 247
11.7 虚功原理 250
11.8 单位载荷法 251
11.9 能量方法应用 252
习题 254
第12章 冲击载荷 257
12.1 垂直冲击 257
12.2 水平冲击 259
习题 261
第13章 静不定结构 263
13.1 静不定 263
13.2 力法分析静不定结构 263
13.3 力法分析对称静不定结构 268
习题 270
附录I 截面性质 273
I.1 静矩 273
I.2 惯性矩与极惯性矩 274
I.3 惯性半径与极惯性半径 274
I.4 惯性积 275
I.5 平行移轴定理 275
I.6 常用截面几何性质 276
附录II 型钢 277
II.1 工字钢 277
II.2 槽钢 278
II.3 等边角钢 279
II.4 不等边角钢 281
附录III 挠度曲线 284
参考文献 285
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