### Table of content:

1. Stress

Chapter Objectives

1.1 Introduction

1.2 Equilibrium of a Deformable Body

1.3 Stress

1.4 Average Normal Stress in an Axially Loaded Bar

1.5 Average Shear Stress

1.6 Allowable Stress Design

1.7 Limit State Design

2. Strain

Chapter Objectives

2.1 Deformation

2.2 Strain

3. Mechanical Properties of Materials

Chapter Objectives

3.1 The Tension and Compression Test

3.2 The Stress-Strain Diagram

3.3 Stress-Strain Behavior of Ductile and Brittle Materials

3.4 Strain Energy

3.5 Poisson’s Ratio

3.6 The Shear Stress-Strain Diagram

*3.7 Failure of Materials Due to Creep and Fatigue

4. Axial Load

Chapter Objectives

4.1 Saint-Venant’s Principle

4.2 Elastic Deformation of an Axially Loaded Member

4.3 Principle of Superposition

4.4 Statically Indeterminate Axially Loaded Members

4.5 The Force Method of Analysis for Axially Loaded Members

4.6 Thermal Stress

4.7 Stress Concentrations

*4.8 Inelastic Axial Deformation

*4.9 Residual Stress

5. Torsion

Chapter Objectives

5.1 Torsional Deformation of a Circular Shaft

5.2 The Torsion Formula

5.3 Power Transmission

5.4 Angle of Twist

5.5 Statically Indeterminate Torque-Loaded Members

*5.6 Solid Noncircular Shafts

*5.7 Thin-Walled Tubes Having Closed Cross Sections

5.8 Stress Concentration

*5.9 Inelastic Torsion

*5.10 Residual Stress

6. Bending

Chapter Objectives

6.1 Shear and Moment Diagrams

6.2 Graphical Method for Constructing Shear and Moment Diagrams

6.3 Bending Deformation of a Straight Member

6.4 The Flexure Formula

6.5 Unsymmetric Bending

*6.6 Composite Beams

*6.7 Reinforced Concrete Beams

*6.8 Curved Beams

6.9 Stress Concentrations

*6.10 Inelastic Bending

7. Transverse Shear

Chapter Objectives

7.1 Shear in Straight Members

7.2 The Shear Formula

7.3 Shear Flow in Built-Up Members

7.4 Shear Flow in Thin-Walled Members

*7.5 Shear Center for Open Thin-Walled Members

8. Combined Loadings

Chapter Objectives

8.1 Thin-Walled Pressure Vessels

8.2 State of Stress Caused by Combined Loadings

9. Stress Transformation

Chapter Objectives

9.1 Plane-Stress Transformation

9.2 General Equations of Plane-Stress Transformation

9.3 Principal Stresses and Maximum In-Plane Shear Stress

9.4 Mohr’s Circle-Plane Stress

9.5 Absolute Maximum Shear Stress

10. Strain Transformation

Chapter Objectives

10.1 Plane Strain

10.2 General Equations of Plane-Strain Transformation

*10.3 Mohr’s Circle-Plane Strain

*10.4 Absolute Maximum Shear Strain

10.5 Strain Rosettes

10.6 Material Property Relationships

*10.7 Theories of Failure

11. Design of Beams and Shafts

Chapter Objectives

11.1 Basis for Beam Design

11.2 Prismatic Beam Design

*11.3 Fully Stressed Beams

*11.4 Shaft Design

12. Deflection of Beams and Shafts

Chapter Objectives

12.1 The Elastic Curve

12.2 Slope and Displacement by Integration

*12.3 Discontinuity Functions

*12.4 Slope and Displacement by the Moment-Area Method

12.5 Method of Superposition

12.6 Statically Indeterminate Beams and Shafts

12.7 Statically Indeterminate Beams and Shafts-Method of Integration

*12.8 Statically Indeterminate Beams and Shafts-Moment-Area Method

12.9 Statically Indeterminate Beams and Shafts-Method of Superposition

13. Buckling of Columns

Chapter Objectives

13.1 Critical Load

13.2 Ideal Column with Pin Supports

13.3 Columns Having Various Types of Supports

*13.4 The Secant Formula

*13.5 Inelastic Buckling

*13.6 Design of Columns for Concentric Loading

*13.7 Design of Columns for Eccentric Loading

14. Energy Methods

Chapter Objectives

14.1 External Work and Strain Energy

14.2 Elastic Strain Energy for Various Types of Loading

14.3 Conservation of Energy

14.4 Impact Loading

*14.5 Principle of Virtual Work

*14.6 Method of Virtual Forces Applied to Trusses

*14.7 Method of Virtual Forces Applied to Beams

*14.8 Castigliano’s Theorem

*14.9 Castigliano’s Theorem Applied to Trusses

*14.10 Castigliano’s Theorem Applied to Beams

Appendix

A Geometric Properties of an Area

B Geometric Properties of Structural Shapes

C Slopes and Deflections of Beams

Solutions and Answers for Preliminary Problems

Fundamental Problems Partial Solutions and Answers

Selected Answers

Index

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