This book consists of theoretical mechanics (including statics, kinematics, and kinetics) and mechanics of materials. The main contents of the book include statics of particles, statics of rigid bodies, friction, kinematics of particles, kinematics of rigid bodies in plane motion, kinetics of particles, kinematics of rigid bodies in plane motion, axial tension and compression, torsion, bending internal forces, bending stresses, bending deformation, stress analysis and strength theories, combined loadings, stability of columns, etc. 本书由理论力学（包括静力学、运动学和动力学）和材料力学组成。主要内容包括质点静力学、刚体静力学、摩擦、质点运动学、刚体平面运动学、质点动力学、刚体平面动力学、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、组合载荷和压杆稳定等。
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Contents 目 录 Preface 前言 English Edition Chapter 1 Fundamentals of Theoretical Mechanics 1 1.1 Basic Concepts 1 1.2 Newton’s Laws 2 1.3 Parallelogram Law 3 1.4 Moment of Force 4 1.5 Principle of Moments 7 1.6 Moment of Couple 8 1.7 Reduction of Force System 9 Problems 13 Chapter 2 Statics of Particle 15 2.1 Resultant of Coplanar Concurrent Forces 15 2.2 Equilibrium of Coplanar Concurrent Forces 20 2.3 Resultant of Spatial Concurrent Forces22 2.4 Equilibrium of Spatial Concurrent Forces 25 Problems 26Chapter 3 Statics of Rigid Body 30 3.1 Equilibrium of Two-Dimensional Rigid Body 30 3.2 Two-Force and Three-Force Bodies 33 3.3 Planar Trusses 34 3.4 Equilibrium of Three-Dimensional Rigid Body 38 Problems 39 Chapter 4 Friction 43 4.1 Sliding Friction 43 4.2 Angle of Friction 44 4.3 Problems Involving Sliding Friction 46 4.4 Rolling Resistance 49 Problems 50 Chapter 5 Kinematics of Particle 52 5.1 Motion of Particle 52 5.2 Resultant Motion of Particle 57 Problems 62 Chapter 6 Kinematics of Rigid Body in Plane Motion 65 6.1 Translation 66 6.2 Rotation about Fixed Axis 67 6.3 General Plane Motion 69 Problems 76 Chapter 7 Kinetics of Particle78 7.1 Method of Motion Equations 78 7.2 Method of Inertia Force 81 7.3 Method of Work and Energy 82 7.4 Method of Impulse and Momentum 85 Problems 87 Chapter 8 Kinetics of Rigid Body in Plane Motion 90 8.1 Motion of Mass Center of System of Particles 92 8.2 Motion of System of Particles about Mass Center 92 8.3 Method of Motion Equations for Rigid Body in Plane Motion 93 8.4 Method of Inertia Force for Rigid Body in Plane Motion 95 8.5 Method of Work and Energy for Rigid Body in Plane Motion 97 8.6 Method of Impulse and Momentum for Rigid Body in Plane Motion 100 Problems 101 Chapter 9 Fundamentals of Mechanics of Materials 105 9.1 External Forces 105 9.2 Internal Forces 106 9.3 Stresses 107 9.4 Strains 111 9.5 Hooke’s Law 113 Problems 113 Chapter 10 Axial Tension or Compression 115 10.1 Axial Force115 10.2 Normal Stress on Cross Section 115 10.3 Normal and Shearing Stresses on Oblique Section 117 10.4 Normal Strain 119 10.5 Deformation of Axially Loaded Bar 120 10.6 Statically Indeterminate Axially Loaded Bar 122 10.7 Design of Axially Loaded Bar 123 Problems 124 Chapter 11 Torsion 127 11.1 Twisting Moment 127 11.2 Hooke’s Law in Shear 127 11.3 Shearing Stress on Cross Section 128 11.4 Normal and Shearing Stresses on Oblique Section 131 11.5 Angle of Twist 132 11.6 Statically Indeterminate Shaft 134 11.7 Design of Circular Shaft 135 Problems 136 Chapter 12 Bending Internal Forces 139 12.1 Shearing-Force and Bending-Moment Diagrams 140 12.2 Relations between Distributed Load, Shearing Force, and Bending Moment 143 12.3 Relations between Concentrated Load, Shearing Force, and Bending Moment 146 Problems 148 Chapter 13 Bending Stresses 150 13.1 Normal Stresses on Cross Section in Pure Bending 150 13.2 Normal and Shearing Stresses on Cross Section in Transverse-Force Bending 154 13.3 Design of Prismatic Beam 159 Problems 160 Chapter 14 Bending Deformation 163 14.1 Method of Integration 164 14.2 Method of Superposition 166 14.3 Statically Indeterminate Beam 167 Problems 169 Chapter 15 Stress Analysis and Strength Theories 171 15.1 Stress Transformation 171 15.2 Principal Stresses 173 15.3 Maximum Shearing Stresses 175 15.4 Pressure Vessels 177 15.5 Generalized Hooke’s Law 179 15.6 Strength Theories 181 Problems 185 Chapter 16 Combined Loadings 188 16.1 Bar in Eccentric Tension or Compression 188 16.2 I-Beam in Transverse-Force Bending190 16.3 Beam in Bending and Tension/Compression 194 16.4 Shaft in Torsion and Bending 196 Problems 199Chapter 17 Stability of Column 201 17.1 Critical Load of Long Column with Pin Supports201 17.2 Critical Load of Long Column with Other Supports 203 17.3 Critical Stress of Long Column 204 17.4 Critical Stress of Intermediate Column 205 17.5 Design of Column 207 Problems 209 References 211 Appendix I Center of Gravity 212 I.1 Plate 212 I.2 Composite Plate 212 I.3 3D Body 213 I.4 3D Composite Body 214 Appendix II Mass Moment of Inertia 216 II.1 Moment of Inertia and Radius of Gyration 216 II.2 Parallel-Axis Theorem 216 Appendix 111Properties of Materials 218 III.1 Tension of Low-Carbon Steel 218 III.2 Ductile and Brittle Materials 220 III.3 Stress-Strain Curve of Ductile Materials without Distinct Yield Point 221 III.4 Percent Elongation and Percent Reduction in Area 221 III.5 Properties of Materials in Compression 222 Appendix IV Properties of Area 223 IV.1 First Moment 223 IV.2 Moment of Inertia and Polar Moment of Inertia 224 IV.3 Radius of Gyration and Polar Radius of Gyration 225 IV.4 Product of Inertia 226 IV.5 Parallel-Axis Theorem 226 IV.6 Geometrical Properties of Commonly-Used Areas 227 Appendix V Shape Steels 228 V.1 I Steel 228 V.2 Channel Steel 229 V.3 Equal Angle Steel 231 V.4 Unequal Angle Steel 233 Appendix VI Deflection Curves 236 中文版 第1章理论力学基础237 1.1基本概念237 1.2牛顿定律238 1.3平行四边形定律238 1.4力矩239 1.5力矩定理242 1.6力偶矩243 1.7力系简化243 习题246 第2章质点静力学249 2.1平面汇交力合成249 2.2平面汇交力平衡254 2.3空间汇交力合成256 2.4空间汇交力平衡258 习题259 第3章刚体静力学262 3.1二维刚体平衡262 3.2二力和三力物体264 3.3平面桁架265 3.4三维刚体平衡269 习题270 第4章摩擦274 4.1滑动摩擦274 4.2摩擦角275 4.3滑动摩擦问题276 4.4滚动摩阻279 习题279 第5章质点运动学281 5.1质点运动281 5.2质点合成运动285 习题289 第6章刚体平面运动学292 6.1平移293 6.2定轴转动294 6.3一般平面运动296 习题302 第7章质点动力学304 7.1运动方程法304 7.2惯性力法307 7.3功能法307 7.4冲量动量法310 习题312 第8章刚体平面动力学315 8.1质点系质心的运动316 8.2质点系相对质心的运动317 8.3平面运动刚体的运动方程法318 8.4平面运动刚体的惯性力法320 8.5平面运动刚体的功能法321 8.6平面运动刚体的冲量动量法324 习题325 第9章材料力学基础329 9.1外力329 9.2内力330 9.3应力331 9.4应变334 9.5胡克定律336 习题336 第10章轴向拉压337 10.1轴力337 10.2横截面正应力337 10.3斜截面正应力和剪应力338 10.4线应变340 10.5拉压变形342 10.6静不定拉压杆343 10.7拉压杆设计344 习题345 第11章扭转347 11.1扭矩347 11.2剪切胡克定律347 11.3横截面剪应力348 11.4斜截面正应力和剪应力351 11.5扭转角352 11.6静不定轴353 11.7圆轴设计354 习题355 第12章弯曲内力357 12.1剪力和弯矩图358 12.2分布载荷、剪力和弯矩之间的关系360 12.3集中载荷、剪力和弯矩之间的关系362 习题364 第13章弯曲应力366 13.1纯弯曲横截面正应力366 13.2横力弯曲横截面正应力和剪应力369 13.3等直梁设计373 习题374 第14章弯曲变形377 14.1积分法378 14.2叠加法379 14.3静不定梁381 习题382 第15章应力分析与强度理论384 15.1应力变换384 15.2主应力386 15.3最大剪应力387 15.4压力容器389 15.5广义胡克定律391 15.6强度理论393 习题396 第16章组合载荷399 16.1偏心拉（压）杆399 16.2横弯工字梁401 16.3拉（压）弯梁403 16.4弯扭轴405 习题407 第17章压杆稳定409 17.1两端铰支细长压杆临界载荷409 17.2其他支撑细长压杆临界载荷410 17.3细长压杆临界应力411 17.4中长压杆临界应力412 17.5压杆设计414 习题415 主要参考文献417 附录I重心418 I.1薄板418 I.2组合薄板418 I.3三维物体419 I.4三维组合物体419 附录II转动惯量421 II.1转动惯量与回转半径421 II.2平行移轴定理421 附录III材料性能423 III.1低碳钢拉伸423 III.2塑性和脆性材料424 III.3无明显屈服点塑性材料的应力应变曲线425 III.4伸长率和断面收缩率425 III.5材料压缩性能425 附录IV截面性质427 IV.1静矩427 IV.2惯性矩与极惯性矩428 IV.3惯性半径与极惯性半径428 IV.4惯性积429 IV.5平行移轴定理429 IV.6常用截面几何性质430 附录V型钢431 V.1工字钢431 V.2槽钢432 V.3等边角钢434 V.4不等边角钢437 附录VI挠度曲线440Contents 目 录 Preface 前言 English Edition Chapter 1 Fundamentals of Theoretical Mechanics 1 1.1 Basic Concepts 1 1.2 Newton’s Laws 2 1.3 Parallelogram Law 3 1.4 Moment of Force 4 1.5 Principle of Moments 7 1.6 Moment of Couple 8 1.7 Reduction of Force System 9 Problems 13 Chapter 2 Statics of Particle 15 2.1 Resultant of Coplanar Concurrent Forces 15 2.2 Equilibrium of Coplanar Concurrent Forces 20 2.3 Resultant of Spatial Concurrent Forces22 2.4 Equilibrium of Spatial Concurrent Forces 25 Problems 26 Chapter 3 Statics of Rigid Body 30 3.1 Equilibrium of Two-Dimensional Rigid Body 30 3.2 Two-Force and Three-Force Bodies 33 3.3 Planar Trusses 34 3.4 Equilibrium of Three-Dimensional Rigid Body 38 Problems 39 Chapter 4 Friction 43 4.1 Sliding Friction 43 4.2 Angle of Friction 44 4.3 Problems Involving Sliding Friction 46 4.4 Rolling Resistance 49 Problems 50 Chapter 5 Kinematics of Particle 52 5.1 Motion of Particle 52 5.2 Resultant Motion of Particle 57 Problems 62 Chapter 6 Kinematics of Rigid Body in Plane Motion 65 6.1 Translation 66 6.2 Rotation about Fixed Axis 67 6.3 General Plane Motion 69 Problems 76 Chapter 7 Kinetics of Particle78 7.1 Method of Motion Equations 78 7.2 Method of Inertia Force 81 7.3 Method of Work and Energy 82 7.4 Method of Impulse and Momentum 85 Problems 87 Chapter 8 Kinetics of Rigid Body in Plane Motion 90 8.1 Motion of Mass Center of System of Particles 92 8.2 Motion of System of Particles about Mass Center 92 8.3 Method of Motion Equations for Rigid Body in Plane Motion 93 8.4 Method of Inertia Force for Rigid Body in Plane Motion 95 8.5 Method of Work and Energy for Rigid Body in Plane Motion 97 8.6 Method of Impulse and Momentum for Rigid Body in Plane Motion 100 Problems 101 Chapter 9 Fundamentals of Mechanics of Materials 105 9.1 External Forces 105 9.2 Internal Forces 106 9.3 Stresses 107 9.4 Strains 111 9.5 Hooke’s Law 113 Problems 113 Chapter 10 Axial Tension or Compression 115 10.1 Axial Force115 10.2 Normal Stress on Cross Section 115 10.3 Normal and Shearing Stresses on Oblique Section 117 10.4 Normal Strain 119 10.5 Deformation of Axially Loaded Bar 120 10.6 Statically Indeterminate Axially Loaded Bar 122 10.7 Design of Axially Loaded Bar 123 Problems 124 Chapter 11 Torsion 127 11.1 Twisting Moment 127 11.2 Hooke’s Law in Shear 127 11.3 Shearing Stress on Cross Section 128 11.4 Normal and Shearing Stresses on Oblique Section 131 11.5 Angle of Twist 132 11.6 Statically Indeterminate Shaft 134 11.7 Design of Circular Shaft 135 Problems 136 Chapter 12 Bending Internal Forces 139 12.1 Shearing-Force and Bending-Moment Diagrams 140 12.2 Relations between Distributed Load, Shearing Force, and Bending Moment 143 12.3 Relations between Concentrated Load, Shearing Force, and Bending Moment 146 Problems 148 Chapter 13 Bending Stresses 150 13.1 Normal Stresses on Cross Section in Pure Bending 150 13.2 Normal and Shearing Stresses on Cross Section in Transverse-Force Bending 154 13.3 Design of Prismatic Beam 159 Problems 160 Chapter 14 Bending Deformation 163 14.1 Method of Integration 164 14.2 Method of Superposition 166 14.3 Statically Indeterminate Beam 167 Problems 169 Chapter 15 Stress Analysis and Strength Theories 171 15.1 Stress Transformation 171 15.2 Principal Stresses 173 15.3 Maximum Shearing Stresses 175 15.4 Pressure Vessels 177 15.5 Generalized Hooke’s Law 179 15.6 Strength Theories 181 Problems 185 Chapter 16 Combined Loadings 188 16.1 Bar in Eccentric Tension or Compression 188 16.2 I-Beam in Transverse-Force Bending190 16.3 Beam in Bending and Tension/Compression 194 16.4 Shaft in Torsion and Bending 196 Problems 199Chapter 17 Stability of Column 201 17.1 Critical Load of Long Column with Pin Supports201 17.2 Critical Load of Long Column with Other Supports 203 17.3 Critical Stress of Long Column 204 17.4 Critical Stress of Intermediate Column 205 17.5 Design of Column 207 Problems 209 References 211 Appendix I Center of Gravity 212 I.1 Plate 212 I.2 Composite Plate 212 I.3 3D Body 213 I.4 3D Composite Body 214 Appendix II Mass Moment of Inertia 216 II.1 Moment of Inertia and Radius of Gyration 216 II.2 Parallel-Axis Theorem 216 Appendix 111Properties of Materials 218 III.1 Tension of Low-Carbon Steel 218 III.2 Ductile and Brittle Materials 220 III.3 Stress-Strain Curve of Ductile Materials without Distinct Yield Point 221 III.4 Percent Elongation and Percent Reduction in Area 221 III.5 Properties of Materials in Compression 222 Appendix IV Properties of Area 223 IV.1 First Moment 223 IV.2 Moment of Inertia and Polar Moment of Inertia 224 IV.3 Radius of Gyration and Polar Radius of Gyration 225 IV.4 Product of Inertia 226 IV.5 Parallel-Axis Theorem 226 IV.6 Geometrical Properties of Commonly-Used Areas 227 Appendix V Shape Steels 228 V.1 I Steel 228 V.2 Channel Steel 229 V.3 Equal Angle Steel 231 V.4 Unequal Angle Steel 233 Appendix VI Deflection Curves 236 中文版 第1章理论力学基础237 1.1基本概念237 1.2牛顿定律238 1.3平行四边形定律238 1.4力矩239 1.5力矩定理242 1.6力偶矩243 1.7力系简化243 习题246 第2章质点静力学249 2.1平面汇交力合成249 2.2平面汇交力平衡254 2.3空间汇交力合成256 2.4空间汇交力平衡258 习题259 第3章刚体静力学262 3.1二维刚体平衡262 3.2二力和三力物体264 3.3平面桁架265 3.4三维刚体平衡269 习题270 第4章摩擦274 4.1滑动摩擦274 4.2摩擦角275 4.3滑动摩擦问题276 4.4滚动摩阻279 习题279 第5章质点运动学281 5.1质点运动281 5.2质点合成运动285 习题289 第6章刚体平面运动学292 6.1平移293 6.2定轴转动294 6.3一般平面运动296 习题302 第7章质点动力学304 7.1运动方程法304 7.2惯性力法307 7.3功能法307 7.4冲量动量法310 习题312 第8章刚体平面动力学315 8.1质点系质心的运动316 8.2质点系相对质心的运动317 8.3平面运动刚体的运动方程法318 8.4平面运动刚体的惯性力法320 8.5平面运动刚体的功能法321 8.6平面运动刚体的冲量动量法324 习题325 第9章材料力学基础329 9.1外力329 9.2内力330 9.3应力331 9.4应变334 9.5胡克定律336 习题336 第10章轴向拉压337 10.1轴力337 10.2横截面正应力337 10.3斜截面正应力和剪应力338 10.4线应变340 10.5拉压变形342 10.6静不定拉压杆343 10.7拉压杆设计344 习题345 第11章扭转347 11.1扭矩347 11.2剪切胡克定律347 11.3横截面剪应力348 11.4斜截面正应力和剪应力351 11.5扭转角352 11.6静不定轴353 11.7圆轴设计354 习题355 第12章弯曲内力357 12.1剪力和弯矩图358 12.2分布载荷、剪力和弯矩之间的关系360 12.3集中载荷、剪力和弯矩之间的关系362 习题364 第13章弯曲应力366 13.1纯弯曲横截面正应力366 13.2横力弯曲横截面正应力和剪应力369 13.3等直梁设计373 习题374 第14章弯曲变形377 14.1积分法378 14.2叠加法379 14.3静不定梁381 习题382 第15章应力分析与强度理论384 15.1应力变换384 15.2主应力386 15.3最大剪应力387 15.4压力容器389 15.5广义胡克定律391 15.6强度理论393 习题396 第16章组合载荷399 16.1偏心拉（压）杆399 16.2横弯工字梁401 16.3拉（压）弯梁403 16.4弯扭轴405 习题407 第17章压杆稳定409 17.1两端铰支细长压杆临界载荷409 17.2其他支撑细长压杆临界载荷410 17.3细长压杆临界应力411 17.4中长压杆临界应力412 17.5压杆设计414 习题415 主要参考文献417 附录I重心418 I.1薄板418 I.2组合薄板418 I.3三维物体419 I.4三维组合物体419 附录II转动惯量421 II.1转动惯量与回转半径421 II.2平行移轴定理421 附录III材料性能423 III.1低碳钢拉伸423 III.2塑性和脆性材料424 III.3无明显屈服点塑性材料的应力应变曲线425 III.4伸长率和断面收缩率425 III.5材料压缩性能425 附录IV截面性质427 IV.1静矩427 IV.2惯性矩与极惯性矩428 IV.3惯性半径与极惯性半径428 IV.4惯性积429 IV.5平行移轴定理429 IV.6常用截面几何性质430 附录V型钢431 V.1工字钢431 V.2槽钢432 V.3等边角钢434 V.4不等边角钢437 附录VI挠度曲线440
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