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 Normal 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 Normal 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 I-Section Beam Subjected to Transverse Bending

9.4 Stress in Beam Subjected 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 Energy 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

AppendixⅠ Geometrical Properties of Areas

Ⅰ.1 First Moment and Centroid

Ⅰ.2 First Moment and Centroid of a Composite Area

Ⅰ.3 Moment of Inertia and Polar Moment of Inertia

Ⅰ.4 Radius of Gyration and Polar Radius of Gyration

Ⅰ.5 Product of Inertia

Ⅰ.6 Parallel-Axis Theorem

AppendixⅡ Geometrical Properties of Rolled-Steel Shapes

Ⅱ.1 I-Steel

Ⅱ.2 Channel Steel

Ⅱ.3 Equal Angle Steel

Ⅱ.4 Unequal Angle Steel

AppendixⅢ Moment of Inertia and Polar Moment of Inertia of Commonly-Used Areas

AppendixⅣ Deflections and Slopes of Commonly-Used Beams

Glossaries

References