Preface

Chapter 1 Stresses and Strains

  1.1 What Is Mechanics of Materials

  1.2 Basic Assumptions of Materials

  1.3 External Forces

  1.4 Internal Forces

  1.5 Stresses

  1.6 Strains

  1.7 Deformations of Members

  Problems  

Chapter 2 Mechanical Properties of Materials

  2.1 Tensile or Compressive Test

  2.2 Tension of Low-Carbon Steel  

  2.3 Ductile and Brittle Materials

  2.4 Stress-Strain Curve of Ductile Materials Without Distinct Yield Point

  2.5 Percent Elongation and Percent Reduction in Area  

  2.6 Hooke's Law

  2.7 Mechanical Properties of Materials in Compression

Chapter 3 Axial Tension and Compression of Bars

  3.1 Definition of Axial Tension and Compression

  3.2 Axial Force

  3.3 Normal Stress on Cross Section

  3.4 Saint-Venant's Principle

  3.5 Normal and Shearing Stresses on Oblique Section

  3.6 Normal Strain

  3.7 Deformation of Axially Loaded Bar

  3.8 Statically Indeterminate Axially Loaded Bar

  3.9 Design of Axially Loaded Bar

  3.10 Stress Concentrations  

  Problems  

Chapter 4 Torsion of Shafts

  4.1 Definition of Torsion

  4.2 Twisting Moment  

  4.3 Hooke's Law in Shear  

  4.4 Shearing Stress on Cross Section of Circular Shaft  

  4.5 Nomal and Shearing Stresses on Oblique Section of Circular Shaft

  4.6 Angle of Twist

  4.7 Statically Indeterminate Circular Shaft  

  4.8 Design of Circular Shaft

  Problems  

Chapter 5 Shearing Force and Bending Moment of Beams

  5.1 Definition of Bending

  5.2 Shearing—Force and Bending-Moment Diagrams

  5.3 Relations Among Distributed Load，Shearing Force，and Bending Moment

  5.4 Relations Among Concentrated Load，Shearing Force，and Bending Moment

  Problems  

Chapter 6 Normal Stress and Shearing Stress in Beams

  6.1 Types of Bending

  6.2 Norreal Stresses on Cross Section in Pure Bending

  6.3 Normal and Shearing Stresses on Cross Section in Transverse-Force Bending

  6.4 Design of Prismatic Beams in Bending

  Problems  

Chapter 7 Deflection and Slope of Beams-

  7.1 Deformation of Beams  

  7.2 Method of Integration  

  7.3 Method of Superposition

  7.4 Statically Indeterminate Beams

  Problems  

Chapter 8 Analysis of Stresses and Theories of Strength

  8.1 State of Stress

  8.2 Transformation of Plane Stress

  8.3 Principal Stresses for Plane stress  

  8.4 Maximum Shearing Stress for Plane Stress

  8.5 Stresses in Pressure Vessels

  8.6 Generalized Hooke's Law  

  8.7 Theories of Strength Under Plane Stress

  Problems

Chapter 9 Combined Loadings

  9.1 Definition of Combined Loadings

  9.2 Stress in Bar Subjected tO Eccentric Tension or Compression

  9.3 Stress in 1-Section Beam Subj ected to Transverse Bending

  9.4 Stress in Beam Subj ected to Bending and Axial Tension／Compression

  9.5 Stress in Shaft Subjected tO Torsion and Bending  

  Problems

Chapter 10 Stability of Columns

  10.1 Definition of Buckling

  10.2 Critical Load of Long Slender Columns Under Centric Load with Pin Supports

  10.3 Critical Load of Long Slender Columns Under Centric Load with Other Supports

  10.4 Critical Stress of Long Slender Columns Under Centric Load

  10.5 Critical Stress of Intermediate Length Columns Under Centric Load

  10.6 Design of Columns Under Centric Load

  Problems

Chapter 11 Energy Methods

  11.1 External Work

  11.2 Stain-Energy Density

  11.3 Strain Energy

  11.4 Principle of Work and Energy

  11.5 Castigliano's Theorem

  11.6 Unit Load Method

  11.7 Applications of Enorgy Methods

  Problems

Chapter 12 Dynamic Loadings

  12.1 Definition of Impact Loadings

  12.2 Vertical Impact  

  12.3 Horizontal Impact

  Problems

Chapter 13 Statically Indeterminate Structures

  13.1 Concept of Statically Indeterminate Structures

  13.2 External and Internal Indeterminacy  

  13.3 Force Method for Analysis of Statically Indeterminate Structures  

  13.4 Force Method for Analysis of Symmetrical Indeterminate Structures  

  Problems

Appendix I Geometrical Properties of Ar