材料力学

LIST OF SYMBOLSSI Units1 Introduction1.1 The Task of Mechanics of Materials1.2 Basic Assumptions of Deformable Solid Bodies1.3 Geometrical Characteristics of the Members1.4 Analysis of Internal Forces; Stress1.5 Basic Forms of Rod Deformation2 Axially Loaded Bars2.1 Introduction2.2 Internal Forces2.3 Stresses on Cross-sections and Oblique-sections 2.4 Axial Deformation; Normal Strain2.5 Stress-strain Diagram in Tensile Test2.6 Stress-strain Diagram in Compressive Test2.7 Deformations of Rods under Axial Loading; Hooke's Law2.8 Allowable Stress; Factor of Safety2.9 Statically Indeterminate Problems2.10 Problems Involving Manufacture Errors and Temperature Changes2.11 Stress Concentrations Problems3 Shearing and Bearing3.1 Introduction3.2 Shear Stress3.3 Bearing Stress Problems4 Torsion4.1 Introduction4.2 Torsion of Circular Shafts4.3 Design of Transmission Shatts4.4 Angle of Twist in the Elastic Range; Design of Transmission Shafts for Stiffness 4.5 Statically Indeterminate Shafts4.6 Torsion of Noncircular Members4.7 Thin-walled Hollow Shafts Problems5 Shear and Moment in Beams5.1 Introduction5.2 Supports and Loads5.3 Shear and Bending-moment Diagrams5.4 Relations among Load, Shear, and Bending Moment5.5 Moving Loads5.6 Internal-Force Diagrams of Rigid Frames and Curved Bars Problems6 Stresses in Beams 6.1 Introduction 6.2 Bending Stresses in Prismatic Beams in Pure Bending6.3 Economic Sections6.4 Shear Stress in Beams6.5 Design for Flexure and Shear6.6 Design of Fasteners in Built-up6.7 Shear Flow in Thin-Walled Beams6.8 Shear Center6.9 Unsymmetrical Bending6.10 Beams of Constant Strength Problems7 Deflection of Beams7.1 Introduction7.2 Equation of the Elastic Curve; Double Integration Method7.3 Method of Superposition7.4 Statically Indeterminate Beams7.5 Deflection of Beams in Unsymmetric Bending Problems8 Transformations of Stress and Strain8.1 Introduction8.2 Preliminary Discussion of Transformation of Stress8.3 Transformation of Plane Stress8.4 Mohr's Circle for Plane Stress8.5 Absolute Maximum Shear Stress8.6 Theories of Failure8.7 Transformation of Strain; Mohr's Circle for Strain8.8 The Strain Rosette8.9 Multiaxial Loading; Generalized Hooke's Law Problems9 Stresses due to Combined Loads9.1 Introduction9.2 Thin-Walled Pressure Vessels9.3 Combined of Axial and Lateral Loads9.4 Eccentric Axial Loading9.5 Combination of Torsion and Bending; Design of Transmission Shafts Problems10 Energy Method10.1 Introduction10.2 Strain Energy and Strain Energy Density10.3 Impact Loading10.4 Design for Impact Loading 10.5 Work and Energy under Several Loads; Maxwell's Reciprocal Theorem10.6 Castigliano's Theorem 10.7 Statically Indeterminate Structures Problems11 Columns11.1 Introduction11.2 Euler's Formula for Pin-Ended Columns11.3 Extension of Euler's Formula to Columns with Other End Conditions11.4 Applicability of Euler's Formula; Critical Stress Diagram11.5 Discount-Coefficient Method11.6 Optimization of Column Design for StabilityProblemsAppendix A Moments of AreasA.1 First moment of an area; CentriodA.2 Determination of the first moment and centroid of a composite areaA.3 Second moment, or moment of inertia, of an area; Radius of gyrationA.4 Parallel-axis theoremA.5 Determination of the moment of interia of a composite areaA.6 Product of inertia for an areaA.7 Moments of inertia for an area about inclined axesA.8 Mohr's circle for moments of inertia ProblemsAppendix B Typical Properties of Selected Materials Used in EngineeringAppendix C Properties of Rolled-Steel Shapes ANSWERS