工程力学(第三版)

ContentsChapter 1 Statics of Particles 11.1 Resultant of Concurrent Coplanar Force System 11.2 Equilibrium of Concurrent Coplanar Force System 61.3 Resultant of Concurrent Noncoplanar Force System 81.4 Equilibrium of Concurrent Noncoplanar Force System 10Problems 11Chapter 2 Reduction of Force System 152.1 Moment of Force about Point 152.2 Moment of Force about Axis 162.3 Principle of Moments 172.4 Moment of Couple 182.5 Equivalence of Force 192.6 Reduction of Force System to Force-Couple System 212.7 Reduction of Force-Couple System 21Problems 23Chapter 3 Statics of Rigid Bodies 253.1 Equilibrium of Nonconcurrent Coplanar Force System 253.2 Two-Force and Three-Force Members 273.3 Planar Trusses 283.4 Equilibrium of Nonconcurrent Noncoplanar Force System 32Problems 32Chapter 4 Friction 374.1 Laws of Friction 374.2 Angle of Static Friction 384.3 Problems Involving Friction 38Problems 41Chapter 5 Kinematics of Particles 435.1 Vector Representation 435.2 Rectangular Components 445.3 Tangential and Normal Components 45Problems 47Chapter 6 Kinematics of Rigid Bodies in Plane Motion 496.1 Translation 496.2 Rotation about Fixed Axis 506.3 General Plane Motion 53Problems 59Chapter 7 Resultant Motion of Particle 617.1 Time Derivatives of Vector 617.2 Resultant of Velocities 627.3 Resultant of Accelerations 64Problems 66Chapter 8 Kinetics of Particles 698.1 Equations of Motion 698.2 Method of Inertia Force 718.3 Method of Work and Energy 728.4 Method of Impulse and Momentum 748.5 Equations of Motion for Particle System 758.6 Equations of Motion for Mass Center of Particle System 768.7 Equations of Motion for Particle System about Mass Center 77Problems 78Chapter 9 Kinetics of Rigid Bodies in Plane Motion 819.1 Equations of Motion 819.2 Method of Inertia Force 839.3 Method of Work and Energy 849.4 Method of Impulse and Momentum 869.5 Impact of Rigid Body in Plane Motion 88Problems 90Chapter 10 Analytical Mechanics 9510.1 Constraints and Virtual Work 9510.2 Principle of Virtual Work 9510.3 Generalized Coordinates and Generalized Forces 9710.4 Lagrange's Equations 98Problems 101Chapter 11 Stresses and Strains 10511.1 External Forces 10511.2 Internal Forces 10511.3 Stresses 10711.4 Strains 10911.5 Hooke's Law 11111.6 Tensile Properties of Low-Carbon Steel 11111.7 Stress-Strain Curve of Ductile Materials without Distinct Yield Point 11411.8 Ductile and Brittle Materials 11411.9 Properties of Materials in Compression 115Problems 115Chapter 12 Tension and Compression 11712.1 Axial Force 11712.2 Normal Stress on Cross Section 11712.3 Normal and Shearing Stresses on Oblique Section 11912.4 Normal Strain 12012.5 Axial Deformation 12212.6 Statically Indeterminate Axially-Loaded Bar 12312.7 Design of Axially-Loaded Bar 124Problems 125Chapter 13 Torsion 12913.1 Torsional Moment 12913.2 Hooke's Law in Shear 12913.3 Shearing Stress on Cross Section 13013.4 Normal and Shearing Stresses on Oblique Section 13313.5 Angle of Twist 13413.6 Statically Indeterminate Shaft 13513.7 Design of Torsional Shaft 136Problems 137Chapter 14 Bending Internal Forces 14114.1 Shearing-Force and Bending-Moment Diagrams 14114.2 Relations between Distributed Load, Shearing Force, and Bending Moment 14414.3 Relations between Concentrated Load, Shearing Force, and Bending Moment 147Problems 149Chapter 15 Bending Stresses 15115.1 Normal Stresses on Cross Section in Pure Bending 15115.2 Normal and Shearing Stresses on Cross Section in Transverse-Force Bending 15515.3 Design of Bending Beam 159Problems 161Chapter 16 Bending Deformation 16316.1 Method of Integration 16416.2 Method of Superposition 16516.3 Statically Indeterminate Beam 167Problems 169Chapter 17 Stress Analysis and Strength Theories 17117.1 Stress Transformation 17117.2 Principal Stresses 17317.3 Maximum Shearing Stress 17417.4 Pressure Vessels 17617.5 Generalized Hooke's Law 17817.6 Strength Theories 180Problems 185Chapter 18 Combined Loadings 18718.1 Eccentric Tension or Compression 18718.2 Transverse-Force Bending of I-Beam 18918.3 Axial Loading and Bending 19218.4 Torsion and Bending 193Problems 196Chapter 19 Stability of Columns 19919.1 Critical Load of Long Column with Pin Supports 19919.2 Critical Load of Long Column with Other Supports 20019.3 Critical Stress of Long Column 20119.4 Critical Stress of Intermediate Column 20319.5 Design of Column 204Problems 206Chapter 20 Energy Methods 20920.1 External Work 20920.2 Stain-Energy Density 21120.3 Strain Energy 21220.4 Principle of Work and Energy 21520.5 Reciprocal Theorem 21620.6 Castigliano's Theorem 21820.7 Principle of Virtual Work 22120.8 Unit Load Method 22320.9 Impact Loading 226Problems 231References 237Appendix I Center of Gravity 239I.1 2D Body 239I.2 2D Composite Body 240I.3 3D Body 240I.4 3D Composite Body 241Appendix II Mass Moment of Inertia 243II.1 Moment of Inertia and Radius of Gyration 243II.2 Parallel-Axis Theorem 243Appendix III Properties of Area 245III.1 First Moment (Static Moment) 245III.2 Moment of Inertia and Polar Moment of Inertia 246III.3 Radius of Gyration and Polar Radius of Gyration 246III.4 Product of Inertia 247III.5 Parallel-Axis Theorem 247Appendix IV Shape Steels 249IV.1 I Steel 249IV.2 Channel Steel 251IV.3 Equal Angle Steel 253IV.4 Unequal Angle Steel 256目录第1章 质点静力学 2591.1 平面汇交力系合成 2591.2 平面汇交力系平衡 2641.3 空间汇交力系合成 2651.4 空间汇交力系平衡 268习题 268第2章 力系简化 2712.1 对点力矩 2712.2 对轴力矩 2732.3 力矩定理 2732.4 力偶矩 2742.5 力的等效 2752.6 力系简化为力-力偶系 2772.7 力-力偶系简化 277习题 278第3章 刚体静力学 2813.1 平面一般力系平衡 2813.2 二力和三力构件 2833.3 平面桁架 2833.4 空间一般力系平衡 286习题 287第4章 摩擦 2914.1 摩擦定律 2914.2 静摩擦角 2914.3 摩擦问题 292习题 295第5章 质点运动学 2975.1 矢量表示 2975.2 直角分量 2985.3 切向和法向分量 299习题 301第6章 刚体平面运动学 3036.1 平移 3036.2 定轴转动 3046.3 一般平面运动 306习题 312第7章 质点合成运动 3137.1 矢量时间导数 3137.2 速度合成 3147.3 加速度合成 315习题 317第8章 质点动力学 3198.1 运动方程 3198.2 惯性力法 3218.3 功能法 3218.4 冲量动量法 3238.5 质点系运动方程 3248.6 质点系质心运动方程 3258.7 质点系相对质心的运动方程 326习题 327第9章 刚体平面动力学 3299.1 运动方程 3299.2 惯性力法 3309.3 功能法 3329.4 冲量动量法 3339.5 平面运动刚体的碰撞 334习题 336第10章 分析力学 34110.1 约束与虚功 34110.2 虚功原理 34110.3 广义坐标和广义力 34310.4 拉格朗日方程 344习题 346第11章 应力与应变 34911.1 外力 34911.2 内力 34911.3 应力 35011.4 应变 35311.5 胡克定律 35411.6 低碳钢拉伸性能 35411.7 无明显屈服点塑性材料的应力应变曲线 35611.8 塑性和脆性材料 35611.9 材料压缩性能 357习题 357第12章 拉伸与压缩 35912.1 轴力 35912.2 横截面正应力 35912.3 斜截面正应力和剪应力 36012.4 线应变 36212.5 拉压变形 36312.6 静不定拉压杆 36412.7 拉压杆设计 365习题 366第13章 扭转 36913.1 扭矩 36913.2 剪切胡克定律 36913.3 横截面剪应力 37013.4 斜截面正应力和剪应力 37213.5 扭转角 37313.6 静不定轴 37413.7 扭转轴设计 375习题 376第14章 弯曲内力 37914.1 剪力图和弯矩图 37914.2 分布载荷、剪力和弯矩之间的关系 38214.3 集中载荷、剪力和弯矩之间的关系 383习题 385第15章 弯曲应力 38715.1 纯弯曲横截面正应力 38715.2 横力弯曲横截面正应力和剪应力 39015.3 弯曲梁设计 394习题 395第16章 弯曲变形 39916.1 积分法 40016.2 叠加法 40116.3 静不定梁 403习题 404第17章 应力分析与强度理论 40717.1 应力变换 40717.2 主应力 40917.3 *大剪应力 41017.4 压力容器 41217.5 广义胡克定律 41317.6 强度理论 415习题 419第18章 组合载荷 42118.1 偏心拉压 42118.2 工字梁横力弯曲 42218.3 拉压与弯曲 42418.4 扭转与弯曲 426习题 428第19章 压杆稳定 43119.1 两端铰支细长压杆临界载荷 43119.2 其他支撑细长压杆临界载荷 43219.3 细长压杆临界应力 43319.4 中长压杆临界应力 43419.5 压杆设计 435习题 437第20章 能量方法 43920.1 外功 43920.2 应变能密度 44020.3 应变能 44120.4 功能原理 44420.5 互等定理 44520.6 卡氏定理 44620.7 虚功原理 44920.8 单位载荷法 45120.9 冲击载荷 453习题 458参考文献 463附录I 重心 465I.1 二维物体 465I.2 二维组合物体 466I.3 三维物体 466I.4 三维组合物体 467附录II 转动惯量 469II.1 转动惯量与回转半径 469II.2 平行移轴定理 469附录III 截面性质 471III.1 静矩 471III.2 惯性矩与极惯性矩 472III.3 惯性半径与极惯性半径 473III.4 惯性积 473III.5 平行移轴定理 473附录IV 型钢 475IV.1 工字钢 475IV.2 槽钢 477IV.3 等边角钢 479IV.4 不等边角钢 482