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
目錄
第1章 材料力學(xué)基礎(chǔ) 156
1.1 外力 156
1.2 內(nèi)力 157
1.3 應(yīng)力 158
1.4 應(yīng)變 160
1.5 胡克定律 162
1.6 低碳鋼拉伸性能 162
1.7 無明顯屈服點(diǎn)塑性材料的應(yīng)力應(yīng)變曲線 164
1.8 塑性材料和脆性材料 165
1.9 材料壓縮性能 165
習(xí)題 165
第2章 軸向拉伸與壓縮 167
2.1 軸力 167
2.2 橫截面正應(yīng)力 167
2.3 斜截面正應(yīng)力和剪應(yīng)力 168
2.4 線應(yīng)變 170
2.5 拉壓變形 171
2.6 靜不定拉壓桿 172
2.7 拉壓桿設(shè)計 173
習(xí)題 173
第3章 扭轉(zhuǎn) 176
3.1 扭矩 176
3.2 剪切胡克定律 176
3.3 橫截面剪應(yīng)力 177
3.4 斜截面正應(yīng)力和剪應(yīng)力 179
3.5 扭轉(zhuǎn)角 180
3.6 靜不定軸 180
3.7 扭轉(zhuǎn)軸設(shè)計 181
習(xí)題 182
第4章 彎曲內(nèi)力 184
4.1 剪力圖和彎矩圖 184
4.2 分布載荷、剪力和彎矩之間的關(guān)系 186
4.3 集中載荷、剪力和彎矩之間的關(guān)系 188
習(xí)題 189
第5章 彎曲應(yīng)力 191
5.1 純彎曲橫截面正應(yīng)力 191
5.2 橫力彎曲橫截面正應(yīng)力和剪應(yīng)力 194
5.3 彎曲梁設(shè)計 197
習(xí)題 198
第6章 彎曲變形 201
6.1 積分法 202
6.2 疊加法 203
6.3 靜不定梁 203
習(xí)題 204
第7章 應(yīng)力分析與強(qiáng)度理論 206
7.1 應(yīng)力變換 206
7.2 主應(yīng)力 208
7.3 最大剪應(yīng)力 209
7.4 壓力容器 211
7.5 廣義胡克定律 212
7.6 強(qiáng)度理論 214
習(xí)題 217
第8章 組合載荷 218
8.1 偏心拉壓桿 218
8.2 橫力彎曲工字梁 219
8.3 拉壓彎曲梁 221
8.4 彎曲扭轉(zhuǎn)軸 223
習(xí)題 225
第9章 壓桿穩(wěn)定 227
9.1 兩端鉸支細(xì)長壓桿臨界載荷 227
9.2 其他支撐細(xì)長壓桿臨界載荷 228
9.3 細(xì)長壓桿臨界應(yīng)力 228
9.4 中長壓桿臨界應(yīng)力 229
9.5 壓桿設(shè)計 230
習(xí)題 232
第10章 非對稱彎曲 233
10.1 非對稱純彎曲 233
10.2 非對稱橫力彎曲 236
習(xí)題 239
第11章 能量方法 241
11.1 外功 241
11.2 應(yīng)變能密度 242
11.3 應(yīng)變能 243
11.4 功能原理 245
11.5 互等定理 246
11.6 卡氏定理 247
11.7 虛功原理 250
11.8 單位載荷法 251
11.9 能量方法應(yīng)用 252
習(xí)題 254
第12章 沖擊載荷 257
12.1 垂直沖擊 257
12.2 水平?jīng)_擊 259
習(xí)題 261
第13章 靜不定結(jié)構(gòu) 263
13.1 靜不定 263
13.2 力法分析靜不定結(jié)構(gòu) 263
13.3 力法分析對稱靜不定結(jié)構(gòu) 268
習(xí)題 270
附錄I 截面性質(zhì) 273
I.1 靜矩 273
I.2 慣性矩與極慣性矩 274
I.3 慣性半徑與極慣性半徑 274
I.4 慣性積 275
I.5 平行移軸定理 275
I.6 常用截面幾何性質(zhì) 276
附錄II 型鋼 277
II.1 工字鋼 277
II.2 槽鋼 278
II.3 等邊角鋼 279
II.4 不等邊角鋼 281
附錄III 撓度曲線 284
參考文獻(xiàn) 285