Contents
Chapter 1 Statics of Particles 1
1.1 Resultant of Concurrent Coplanar Force System 1
1.2 Equilibrium of Concurrent Coplanar Force System 6
1.3 Resultant of Concurrent Noncoplanar Force System 8
1.4 Equilibrium of Concurrent Noncoplanar Force System 10
Problems 11
Chapter 2 Reduction of Force System 15
2.1 Moment of Force about Point 15
2.2 Moment of Force about Axis 16
2.3 Principle of Moments 17
2.4 Moment of Couple 18
2.5 Equivalence of Force 19
2.6 Reduction of Force System to Force-Couple System 21
2.7 Reduction of Force-Couple System 21
Problems 23
Chapter 3 Statics of Rigid Bodies 25
3.1 Equilibrium of Nonconcurrent Coplanar Force System 25
3.2 Two-Force and Three-Force Members 27
3.3 Planar Trusses 28
3.4 Equilibrium of Nonconcurrent Noncoplanar Force System 32
Problems 32
Chapter 4 Friction 37
4.1 Laws of Friction 37
4.2 Angle of Static Friction 38
4.3 Problems Involving Friction 38
Problems 41
Chapter 5 Kinematics of Particles 43
5.1 Vector Representation 43
5.2 Rectangular Components 44
5.3 Tangential and Normal Components 45
Problems 47
Chapter 6 Kinematics of Rigid Bodies in Plane Motion 49
6.1 Translation 49
6.2 Rotation about Fixed Axis 50
6.3 General Plane Motion 53
Problems 59
Chapter 7 Resultant Motion of Particle 61
7.1 Time Derivatives of Vector 61
7.2 Resultant of Velocities 62
7.3 Resultant of Accelerations 64
Problems 66
Chapter 8 Kinetics of Particles 69
8.1 Equations of Motion 69
8.2 Method of Inertia Force 71
8.3 Method of Work and Energy 72
8.4 Method of Impulse and Momentum 74
8.5 Equations of Motion for Particle System 75
8.6 Equations of Motion for Mass Center of Particle System 76
8.7 Equations of Motion for Particle System about Mass Center 77
Problems 78
Chapter 9 Kinetics of Rigid Bodies in Plane Motion 81
9.1 Equations of Motion 81
9.2 Method of Inertia Force 83
9.3 Method of Work and Energy 84
9.4 Method of Impulse and Momentum 86
9.5 Impact of Rigid Body in Plane Motion 88
Problems 90
Chapter 10 Analytical Mechanics 95
10.1 Constraints and Virtual Work 95
10.2 Principle of Virtual Work 95
10.3 Generalized Coordinates and Generalized Forces 97
10.4 Lagrange’s Equations 98
Problems 101
Chapter 11 Stresses and Strains 105
11.1 External Forces 105
11.2 Internal Forces 105
11.3 Stresses 107
11.4 Strains 109
11.5 Hooke’s Law 111
11.6 Tensile Properties of Low-Carbon Steel 111
11.7 Stress-Strain Curve of Ductile Materials without Distinct Yield Point 114
11.8 Ductile and Brittle Materials 114
11.9 Properties of Materials in Compression 115
Problems 115
Chapter 12 Tension and Compression 117
12.1 Axial Force 117
12.2 Normal Stress on Cross Section 117
12.3 Normal and Shearing Stresses on Oblique Section 119
12.4 Normal Strain 120
12.5 Axial Deformation 122
12.6 Statically Indeterminate Axially-Loaded Bar 123
12.7 Design of Axially-Loaded Bar 124
Problems 125
Chapter 13 Torsion 129
13.1 Torsional Moment 129
13.2 Hooke’s Law in Shear 129
13.3 Shearing Stress on Cross Section 130
13.4 Normal and Shearing Stresses on Oblique Section 133
13.5 Angle of Twist 134
13.6 Statically Indeterminate Shaft 135
13.7 Design of Torsional Shaft 136
Problems 137
Chapter 14 Bending Internal Forces 141
14.1 Shearing-Force and Bending-Moment Diagrams 141
14.2 Relations between Distributed Load, Shearing Force, and Bending Moment 144
14.3 Relations between Concentrated Load, Shearing Force, and Bending Moment 147
Problems 149
Chapter 15 Bending Stresses 151
15.1 Normal Stresses on Cross Section in Pure Bending 151
15.2 Normal and Shearing Stresses on Cross Section in Transverse-Force Bending 155
15.3 Design of Bending Beam 159
Problems 161
Chapter 16 Bending Deformation 163
16.1 Method of Integration 164
16.2 Method of Superposition 165
16.3 Statically Indeterminate Beam 167
Problems 169
Chapter 17 Stress Analysis and Strength Theories 171
17.1 Stress Transformation 171
17.2 Principal Stresses 173
17.3 Maximum Shearing Stress 174
17.4 Pressure Vessels 176
17.5 Generalized Hooke’s Law 178
17.6 Strength Theories 180
Problems 185
Chapter 18 Combined Loadings 187
18.1 Eccentric Tension or Compression 187
18.2 Transverse-Force Bending of I-Beam 189
18.3 Axial Loading and Bending 192
18.4 Torsion and Bending 193
Problems 196
Chapter 19 Stability of Columns 199
19.1 Critical Load of Long Column with Pin Supports 199
19.2 Critical Load of Long Column with Other Supports 200
19.3 Critical Stress of Long Column 201
19.4 Critical Stress of Intermediate Column 203
19.5 Design of Column 204
Problems 206
Chapter 20 Energy Methods 209
20.1 External Work 209
20.2 Stain-Energy Density 211
20.3 Strain Energy 212
20.4 Principle of Work and Energy 215
20.5 Reciprocal Theorem 216
20.6 Castigliano’s Theorem 218
20.7 Principle of Virtual Work 221
20.8 Unit Load Method 223
20.9 Impact Loading 226
Problems 231
References 237
Appendix I Center of Gravity 239
I.1 2D Body 239
I.2 2D Composite Body 240
I.3 3D Body 240
I.4 3D Composite Body 241
Appendix II Mass Moment of Inertia 243
II.1 Moment of Inertia and Radius of Gyration 243
II.2 Parallel-Axis Theorem 243
Appendix III Properties of Area 245
III.1 First Moment (Static Moment) 245
III.2 Moment of Inertia and Polar Moment of Inertia 246
III.3 Radius of Gyration and Polar Radius of Gyration 246
III.4 Product of Inertia 247
III.5 Parallel-Axis Theorem 247
Appendix IV Shape Steels 249
IV.1 I Steel 249
IV.2 Channel Steel 251
IV.3 Equal Angle Steel 253
IV.4 Unequal Angle Steel 256
目錄
第1章 質(zhì)點靜力學(xué) 259
1.1 平面匯交力系合成 259
1.2 平面匯交力系平衡 264
1.3 空間匯交力系合成 265
1.4 空間匯交力系平衡 268
習(xí)題 268
第2章 力系簡化 271
2.1 對點力矩 271
2.2 對軸力矩 273
2.3 力矩定理 273
2.4 力偶矩 274
2.5 力的等效 275
2.6 力系簡化為力-力偶系 277
2.7 力-力偶系簡化 277
習(xí)題 278
第3章 剛體靜力學(xué) 281
3.1 平面一般力系平衡 281
3.2 二力和三力構(gòu)件 283
3.3 平面桁架 283
3.4 空間一般力系平衡 286
習(xí)題 287
第4章 摩擦 291
4.1 摩擦定律 291
4.2 靜摩擦角 291
4.3 摩擦問題 292
習(xí)題 295
第5章 質(zhì)點運動學(xué) 297
5.1 矢量表示 297
5.2 直角分量 298
5.3 切向和法向分量 299
習(xí)題 301
第6章 剛體平面運動學(xué) 303
6.1 平移 303
6.2 定軸轉(zhuǎn)動 304
6.3 一般平面運動 306
習(xí)題 312
第7章 質(zhì)點合成運動 313
7.1 矢量時間導(dǎo)數(shù) 313
7.2 速度合成 314
7.3 加速度合成 315
習(xí)題 317
第8章 質(zhì)點動力學(xué) 319
8.1 運動方程 319
8.2 慣性力法 321
8.3 功能法 321
8.4 沖量動量法 323
8.5 質(zhì)點系運動方程 324
8.6 質(zhì)點系質(zhì)心運動方程 325
8.7 質(zhì)點系相對質(zhì)心的運動方程 326
習(xí)題 327
第9章 剛體平面動力學(xué) 329
9.1 運動方程 329
9.2 慣性力法 330
9.3 功能法 332
9.4 沖量動量法 333
9.5 平面運動剛體的碰撞 334
習(xí)題 336
第10章 分析力學(xué) 341
10.1 約束與虛功 341
10.2 虛功原理 341
10.3 廣義坐標(biāo)和廣義力 343
10.4 拉格朗日方程 344
習(xí)題 346
第11章 應(yīng)力與應(yīng)變 349
11.1 外力 349
11.2 內(nèi)力 349
11.3 應(yīng)力 350
11.4 應(yīng)變 353
11.5 胡克定律 354
11.6 低碳鋼拉伸性能 354
11.7 無明顯屈服點塑性材料的應(yīng)力應(yīng)變曲線 356
11.8 塑性和脆性材料 356
11.9 材料壓縮性能 357
習(xí)題 357
第12章 拉伸與壓縮 359
12.1 軸力 359
12.2 橫截面正應(yīng)力 359
12.3 斜截面正應(yīng)力和剪應(yīng)力 360
12.4 線應(yīng)變 362
12.5 拉壓變形 363
12.6 靜不定拉壓桿 364
12.7 拉壓桿設(shè)計 365
習(xí)題 366
第13章 扭轉(zhuǎn) 369
13.1 扭矩 369
13.2 剪切胡克定律 369
13.3 橫截面剪應(yīng)力 370
13.4 斜截面正應(yīng)力和剪應(yīng)力 372
13.5 扭轉(zhuǎn)角 373
13.6 靜不定軸 374
13.7 扭轉(zhuǎn)軸設(shè)計 375
習(xí)題 376
第14章 彎曲內(nèi)力 379
14.1 剪力圖和彎矩圖 379
14.2 分布載荷、剪力和彎矩之間的關(guān)系 382
14.3 集中載荷、剪力和彎矩之間的關(guān)系 383
習(xí)題 385
第15章 彎曲應(yīng)力 387
15.1 純彎曲橫截面正應(yīng)力 387
15.2 橫力彎曲橫截面正應(yīng)力和剪應(yīng)力 390
15.3 彎曲梁設(shè)計 394
習(xí)題 395
第16章 彎曲變形 399
16.1 積分法 400
16.2 疊加法 401
16.3 靜不定梁 403
習(xí)題 404
第17章 應(yīng)力分析與強度理論 407
17.1 應(yīng)力變換 407
17.2 主應(yīng)力 409
17.3 *大剪應(yīng)力 410
17.4 壓力容器 412
17.5 廣義胡克定律 413
17.6 強度理論 415
習(xí)題 419
第18章 組合載荷 421
18.1 偏心拉壓 421
18.2 工字梁橫力彎曲 422
18.3 拉壓與彎曲 424
18.4 扭轉(zhuǎn)與彎曲 426
習(xí)題 428
第19章 壓桿穩(wěn)定 431
19.1 兩端鉸支細(xì)長壓桿臨界載荷 431
19.2 其他支撐細(xì)長壓桿臨界載荷 432
19.3 細(xì)長壓桿臨界應(yīng)力 433
19.4 中長壓桿臨界應(yīng)力 434
19.5 壓桿設(shè)計 435
習(xí)題 437
第20章 能量方法 439
20.1 外功 439
20.2 應(yīng)變能密度 440
20.3 應(yīng)變能 441
20.4 功能原理 444
20.5 互等定理 445
20.6 卡氏定理 446
20.7 虛功原理 449
20.8 單位載荷法 451
20.9 沖擊載荷 453
習(xí)題 458
參考文獻 463
附錄I 重心 465
I.1 二維物體 465
I.2 二維組合物體 466
I.3 三維物體 466
I.4 三維組合物體 467
附錄II 轉(zhuǎn)動慣量 469
II.1 轉(zhuǎn)動慣量與回轉(zhuǎn)半徑 469
II.2 平行移軸定理 469
附錄III 截面性質(zhì) 471
III.1 靜矩 471
III.2 慣性矩與極慣性矩 472
III.3 慣性半徑與極慣性半徑 473
III.4 慣性積 473
III.5 平行移軸定理 473
附錄IV 型鋼 475
IV.1 工字鋼 475
IV.2 槽鋼 477
IV.3 等邊角鋼 479
IV.4 不等邊角鋼 482