Applied Statics and Strength of Materials

1 Introduction 1-1 Mechanics Overview 1-2 Applications of Statics 1-3 The Mathematics of Statics 1-4 Calculations and Numerical Accuracy 1-5 SI Units for Statics and Strength of Materials Summary Problems 2. Principles of Statics 2-1 Forces and the Effects of Forces 2-2 Characteristics of a Force 2-3 Units of a Force 2-4 Types and Occurrence of Forces 2-5 Scalar and Vector Quantities 2-6 The Principle of Transmissibility 2-7 Types of Force Systems 2-8 Orthogonal Concurrent Forces: Resultants and Components Summary Problems 3. Resultants of Coplanar Force Systems 3-1 Resultant of Two Concurrent Forces 3-2 Resultant of Three of More Concurrent Forces 3-3 Moment of a Force 3-4 The Principle of Moments: Varignon's Theorem 3-5 Resultants of Parallel Force Systems 3-6 Couples 3-7 Resultants of Nonconcurrent Force Systems Summary Problems 4. Equilibrium of Coplanar Force Systems 4-1 Introduction 4-2 Conditions of Equilibrium 4-3 The Free-Body Diagram 4-4 Equilibrium of Concurrent Force Systems 4-5 Equilibrium of Parallel Force Systems 4-6 Equilibrium of Nonconcurrent Force Systems Summary Problems 5. Analysis of Structures 5-1 Introduction 5-2 Trusses 5-3 Forces in Members of Trusses 5-4 The Method of Joints 5-5 The Method of Sections 5-6 Analysis of Frames Summary Problems 6. Friction 6-1 Introduction 6-2 Friction Theory 6-3 Angle of Friction 6-4 Friction Applications 6-5 Wedges 6-6 Belt Friction 6-7 Square-Threaded Screws Summary Problems 7. Centroids and Centers of Gravity 7-1 Introduction 7-2 Center of Gravity 7-3 Centroids and Centroidal Axes 7-4 Centroids and Centroidal Axes of Composite Areas Summary Problems 8. Area Moments of Inertia 8-1 Introduction and Definitions 8-2 Moment of Inertia 8-3 The Transfer Formula 8-4 Moment of Inertia of Composite Areas 8-5 Radius of Gyration 8-6 Polar Moments of Inertia Summary Problems 9. Stresses and Strains 9-1 Introduction 9-2 Tensile and Compressive Stresses 9-3 Shear Stresses 9-4 Tensile and Compressive Strain and Deformation 9-5 Shear Strain 9-6 The Relation between Stress and Strain (Hooke's Law) Summary Problems 10. Properties of Materials 10-1 The Tension Test 10-2 The Stress-Strain Diagram 10-3 Mechanical Properties of Materials 10-4 Engineering Materials: Metals 10-5 Engineering Materials: Nonmetals 10-6 Allowable Stresses and Calculated Stresses 10-7 Factor of Safety 10-8 Elastic-Inelastic Behavior Summary Problems 11. Stress Considerations 11-1 Poisson's Ratio 11-2 Thermal Effects 11-3 Members Composed of Two or more Elements 11-4 Stress Concentration 11-5 Stresses on Inclined Planes 11-6 Shear Stresses on Mutually Perpendicular Planes 11-7 Tension and Compression Caused By Shear Summary Problems 12. Torsion in Circular Sections 12-1 Introduction 12-2 Members in Torsion 12-3 Torsional Shear Stress 12-4 Angle of Twist 12-5 Transmission of Power by a Shaft Summary Problems 13. Shear and Bending Moment in Beams 13-1 Types of Beams and Supports 13-2 Types of Loads on Beams 13-3 Beam Reactions 13-4 Shear Force and Bending Moment 13-5 Shear Diagrams 13-6 Moment Diagrams 13-7 Sections of Maximum Moment 13-8 Moving Loads Summary Problems 14. Stresses in Beams 14-1 Tensile and Compressive Stresses Due to Bending 14-2 The Flexure Formula 14-3 Computation of Bending Stresses 14-4 Shear Stresses 14-5 The General Shear Formula 14-6 Shear Stresses in Structural Members 14-7 Beam Analysis 14-8 Inelastic Bending of Beams Summary Problems 15. Deflection of Beams 15-1 Reasons for Calculating Beam Deflection 15-2 Curvature and Bending Moment 15-3 Methods of Calculating Deflections 15-4 The Formula Method 15-5 The Moment-Area Method 15-6 Moment Diagram By Parts 15-7 Applications of the Moment-Area Method Summary Problems 16. Design of Beams 16-1 The Design Process 16-2 Design of Steel Beams 16-3 Design of Timber Beams Summary Problems 17. Combined Stresses 17-1 Introduction 17-2 Biaxial Bending 17-3 Combined Axial and Bending Stresses 17-4 Eccentrically Loaded Members 17-5 Maximum Eccentricity for Zero Tensile Stress 17-6 Eccentric Load Not on Centroidal Axis 17-7 Combined Normal and Shear Stress 17-8 Mohr's Circle 17-9 Mohr's Circle: The General State of Stress Summary Problems 18. Columns 18-1 Introduction 18-2 Ideal Columns 18-3 Effective Length 18-4 Real Columns 18-5 Allowable Stresses for Columns 18-6 Axially-Loaded Structural Steel Columns (AISC) 18-7 Axially-Loaded Steel Machine Parts 18-8 Axially-Loaded Timber Columns Summary Problems 19. Connections 19-1 Introduction 19-2 Bolts and Bolted Connections (AISC) 19-3 Modes of Failure of a Bolted Connection 19-4 High-Strength Bolted Connections 19-5 Introduction to Welding 19-6 Strength and Behavior of Welded Connections (AISC) Summary Problems 20. Pressure Vessels 20-1 Introduction 20-2 Stresses in Thin-Walled Pressure Vessels 20-3 Joints in Thin-Walled Pressure Vessels 20-4 Design and Fabrication Considerations Summary Problems 21. Statically Indeterminate Beams 21-1 Introduction 21-2 Restrained Beams 21-3 Propped Cantilever Beams 21-4 Fixed Beams 21-5 Continuous Beams: Superposition 21-6 The Theorem of Three Moments Summary Problems Appendices Notation Answers to Selected Problems Index