Mechanics of Materials 3/e

1 INTRODUCTION TO MECHANICS OF MATERIALS

1.1 What Is Mechanics of Materials?(Includes Color-Photo Insert)

1.2 The Fundamental Equations of Deformable-Body Mechanics

1.3 Problem-Solving Procedures

1.4 Review of Static Equilibrium; Equilibrium of Deformable Bodies

1.5 Problems

Chapter 1 Review

2 STRESS AND STRAIN; INTRODUCTION TO DESIGN

2.1 Introduction

2.2 Normal Stress

2.3 Extensional Strain; Thermal Strain

2.4 Stress-Strain Diagrams; Mechanical Properties of Materials

2.5 Elasticity and Plasticity; Temperature Effects

2.6 Linear Elasticity; Hooke’s Law and Poisson’s Ratio

2.7 Shear Stress and Shear Strain; Shear Modulus

2.8 Introduction to Design—Axial Loads and Direct Shear

2.9 Stresses on an Inclined Plane in an Axially Loaded Member

2.10 Saint-Venant’s Principle

2.11 Hooke’s Law for Plane Stress; The Relationship Between E and G

2.12 General Definitions of Stress and Strain

*2.13 Cartesian Components of Stress; Generalized Hooke’s Law for Isotropic Materials

*2.14 Mechanical Properties of Composite Materials

2.15 Problems

Chapter 2 Review

3 AXIAL DEFORMATION

3.1 Introduction

3.2 Basic Theory of Axial Deformation

3.3 Examples of Nonuniform Axial Deformation

3.4 Statically Determinate Structures

3.5 Statically Indeterminate Structures

3.6 Thermal Effects on Axial Deformation

3.7 Geometric ‘‘Misfits’’

3.8 Displacement-Method Solution of Axial-Deformation Problems

*3.9 Force-Method Solution of Axial- Deformation Problems

*3.10 Introduction to the Analysis of Planar Trusses

*3.11 Inelastic Axial Deformation

3.12 Problems

Chapter 3 Review

4 TORSION

4.1 Introduction

4.2 Torsional Deformation of Circular Bars

4.3 Torsion of Linearly Elastic Circular Bars

4.4 Stress Distribution in Circular Torsion Bars; Torsion Testing

4.5 Statically Determinate Assemblages of Uniform Torsion Members

4.6 Statically Indeterminate Assemblages of Uniform Torsion Members

*4.7 Displacement-Method Solution of Torsion Problems

4.8 Power-Transmission Shafts

*4.9 Thin-Wall Torsion Members

*4.10 Torsion of Noncircular Prismatic Bars

*4.11 Inelastic Torsion of Circular Rods

4.12 Problems

Chapter 4 Review

5 EQUILIBRIUM OF BEAMS

5.1 Introduction

5.2 Equilibrium of Beams Using Finite Free-Body Diagrams

5.3 Equilibrium Relationships Among Loads Shear Force and Bending Moment

5.4 Shear-Force and Bending-Moment Diagrams: Equilibrium Method

5.5 Shear-Force and Bending-Moment Diagrams: Graphical Method

*5.6 Discontinuity Functions to Represent Loads Shear and Moment

5.7 Problems

Chapter 5 Review

6 STRESSES IN BEAMS

6.1 Introduction

6.2 Strain-Displacement Analysis

6.3 Flexural Stress in Linearly Elastic Beams

6.4 Design of Beams for Strength

6.5 Flexural Stress in Nonhomogeneous Beams

*6.6 Unsymmetric Bending

*6.7 Inelastic Bending of Beams

6.8 Shear Stress and Shear Flow in Beams

6.9 Limitations on the Shear-Stress Formula

6.10 Shear Stress in Thin-Wall Beams

6.11 Shear in Built-Up Beams

*6.12 Shear Center

6.13 Problems

Chapter 6 Review

7 DEFLECTION OF BEAMS

7.1 Introduction

7.2 Differential Equations of the Deflection Curve

7.3 Slope and Deflection by Integration—Statically Determinate Beams

7.4 Slope and Deflection by Integration—Statically Indeterminate Beams

*7.5 Use of Discontinuity Functions to Determine Beam Deflections

7.6 Slope and Deflection of Beams: Superposition Method

*7.7 Slope and Deflection of Beams: Displacement Method

7.8 Problems

Chapter 7 Review

8 TRANSFORMATION OF STRESS AND STRAIN; MOHR’S CIRCLE

8.1 Introduction

8.2 Plane Stress

8.3 Stress Transformation for Plane Stress

8.4 Principal Stresses and Maximum Shear Stress

8.5 Mohr’s Circle for Plane Stress

8.6 Triaxial Stress; Absolute Maximum Shear Stress

8.7 Plane Strain

8.8 Transformation of Strains in a Plane

8.9 Mohr’s Circle for Strain

8.10 Measurement of Strain; Strain Rosettes

*8.11 Analysis of Three-Dimensional Strain

8.12 Problems

Chapter 8 Review

9 PRESSURE VESSELS; STRESSES DUE TO COMBINED LOADING

9.1 Introduction

9.2 Thin-Wall Pressure Vessels

9.3 Stress Distribution in Beams

9.4 Stresses Due to Combined Loads

9.5 Problems

Chapter 9 Review

10 BUCKLING OF COLUMNS

10.1 Introduction

10.2 The Ideal Pin-Ended Column; Euler Buckling Load

10.3 The Effect of End Conditions on Column Buckling

*10.4 Eccentric Loading; The Secant Formula

*10.5 Imperfections in Columns

*10.6 Inelastic Buckling of Ideal Columns

10.7 Design of Centrally Loaded Columns

10.8 Problems

Chapter 10 Review

11 ENERGY METHODS

11.1 Introduction

11.2 Work and Strain Energy

11.3 Elastic Strain Energy for Various Types of Loading

11.4 Work-Energy Principle for Calculating Deflections

11.5 Castigliano’s Second Theorem; The Unit-Load Method

*11.6 Virtual Work

*11.7 Strain-Energy Methods

*11.8 Complementary-Energy Methods

*11.9 Dynamic Loading; Impact

11.10 Problems

Chapter 11 Review

12 SPECIAL TOPICS RELATED TO DESIGN

12.1 Introduction

12.2 Stress Concentrations

*12.3 Failure Theories

*12.4 Fatigue and Fracture

12.5 Problems

Chapter 12 Review

A NUMERICAL ACCURACY; APPROXIMATIONS

A.1 Numerical Accuracy; Significant Digits

A.2 Approximations

B SYSTEMS OF UNITS

B.1 Introduction

B.2 SI Units

B.3 U.S. Customary Units; Conversion of Units

C GEOMETRIC PROPERTIES OF PLANE AREAS

C.1 First Moments of Area; Centroid

C.2 Moments of Inertia of an Area

C.3 Product of Inertia of an Area

C.4 Area Moments of Inertia About Inclined Axes; Principal Moments of Inertia

D SECTION PROPERTIES OF SELECTED STRUCTURAL SHAPES

D.1 Properties of Steel Wide-Flange (W) Shapes (U.S. Customary Units)

D.2 Properties of Steel Wide-Flange (W) Shapes (SI Units)

D.3 Properties of American Standard (S) Beams (U.S. Customary Units)

D.4 Properties of American Standard (C) Channels (U.S. Customary Units)

D.5 Properties of Steel Angle Sections—Equal Legs (U.S. Customary Units)

D.6 Properties of Steel Angle Sections—Unequal Legs (U.S. Customary Units)

D.7 Properties of Standard-Weight Steel Pipe (U.S. Customary Units)

D.8 Properties of Structural Lumber (U.S. Customary Units)

D.9 Properties of Aluminum Association Standard I-Beams (U.S. Customary Units)

D.10 Properties of Aluminum Association Standard Channels (U.S. Customary Units)

E DEFLECTIONS AND SLOPES OF BEAMS; FIXED-END ACTIONS

E.1 Deflections and Slopes of Cantilever Uniform Beams

E.2 Deflections and Slopes of Simply Supported Uniform Beams

E.3 Fixed-End Actions for Uniform Beams

F MECHANICAL PROPERTIES OF SELECTED ENGINEERING MATERIALS

F.1 Specific Weight and Mass Density

F.2 Modulus of Elasticity Shear Modulus of Elasticity and Poisson’s Ratio

F.3 Yield Strength Ultimate Strength Percent Elongation in 2 Inches and Coefficient of Thermal Expansion

G COMPUTATIONAL MECHANICS

G.1 MDSolids

ANSWERS TO SELECTED ODDNUMBERED PROBLEMS

REFERENCES

INDEX

ROY R. CRAIG JR., PHD, is Professor Emeritus of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin. He has received numerous teaching awards and has worked in industry at Boeing, NASA, and Exxon Production Research Corporation, among others.