Textbook
Mechanics of Materials: An Integrated Learning System, 4th EditionISBN: 9781119320883
November 2016, ©2017

For Instructors
Description
Now in its 4th Edition, Timothy A. Philpot's Mechanics of Materials: An Integrated Learning System continues to help engineering students visualize key mechanics of materials concepts better than any other text available, following a sound problem solving methodology while thoroughly covering all the basics. The fourth edition retains seamless integration with the author’s awardwinning MecMovies software. Content has been thoroughly revised throughout the text to provide students with the latest information in the field.
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Table of Contents
Chapter 1Stress
1.1Introduction
1.2Normal Stress Under Axial Loading
1.3Direct Shear Stress
1.4Bearing Stress
1.5Stresses on Inclined Sections
1.6Equality of Shear Stresses on Perpendicular Planes
Chapter 2Strain
2.1Displacement, Deformation, and the Concept of Strain
2.2Normal Strain
2.3Shear Strain
2.4Thermal Strain
Chapter 3Mechanical Properties of Materials
3.1The Tension Test
3.2The Stress–Strain Diagram
3.3Hooke’s Law
3.4Poisson’s Ratio
Chapter 4Design Concepts
4.1Introduction
4.2Types of Loads
4.3Safety
4.4Allowable Stress Design
4.5Load and Resistance Factor Design
Chapter 5Axial Deformation
5.1Introduction
5.2SaintVenant’s Principle
5.3Deformations in Axially Loaded Bars
5.4Deformations in a System of Axially Loaded Bars
5.5Statically Indeterminate Axially Loaded Members
5.6Thermal Effects on Axial Deformation
5.7Stress Concentrations
Chapter 6Torsion
6.1Introduction
6.2Torsional Shear Strain
6.3Torsional Shear Stress
6.4Stresses on Oblique Planes
6.5Torsional Deformations
6.6Torsion Sign Conventions
6.7Gears in Torsion Assemblies
6.8Power Transmission
6.9Statically Indeterminate Torsion Members
6.10Stress Concentrations in Circular Shafts Under Torsional Loadings
6.11Torsion of Noncircular Sections
6.12Torsion of ThinWalled Tubes: Shear Flow
Chapter 7Equilibrium of Beams
7.1Introduction
7.2Shear and Moment in Beams
7.3Graphical Method for Constructing Shear and Moment Diagrams
7.4Discontinuity Functions to Represent Load, Shear, and Moment
Chapter 8Bending
8.1Introduction
8.2Flexural Strains
8.3Normal Stresses in Beams
8.4Analysis of Bending Stresses in Beams
8.5Introductory Beam Design for Strength
8.6Flexural Stresses in Beams of Two Materials
8.7Bending Due to Eccentric Axial Load
8.8Unsymmetric Bending
8.9Stress Concentrations Under Flexural Loadings
8.10Bending of Curved Bars
Chapter 9Shear Stress in Beams
9.1Introduction
9.2Resultant Forces Produced by Bending Stresses
9.3The Shear Stress Formula
9.4The First Moment of Area Q
9.5Shear Stresses in Beams of Rectangular Cross Section
9.6Shear Stresses in Beams of Circular Cross Section
9.7Shear Stresses in Webs of Flanged Beams
9.8Shear Flow in BuiltUp Members
9.9Shear Stress and Shear Flow in ThinWalled Members
9.10Shear Centers of ThinWalled Open Sections
Chapter 10Beam Deflections
10.1Introduction
10.2MomentCurvature Relationship
10.3The Differential Equation of the Elastic Curve
10.4Deflections by Integration of a Moment Equation
10.5Deflections by Integration of ShearForce or Load Equations
10.6Deflections Using Discontinuity Functions
10.7Method of Superposition
Chapter 11Statically Indeterminate Beams
11.1Introduction
11.2Types of Statically Indeterminate Beams
11.3The Integration Method
11.4Use of Discontinuity Functions for Statically Indeterminate Beams
11.5The Superposition Method
Chapter 12Stress Transformations
12.1Introduction
12.2Stress at a General Point in an Arbitrarily Loaded Body
12.3Equilibrium of the Stress Element
12.4Plane Stress
12.5Generating the Stress Element
12.6Equilibrium Method for Plane Stress Transformations
12.7General Equations of Plane Stress Transformation
12.8Principal Stresses and Maximum Shear Stress
12.9Presentation of Stress Transformation Results
12.10Mohr’s Circle for Plane Stress
12.11General State of Stress at a Point
Chapter 13Strain Transformations
13.1Introduction
13.2Plane Strain
13.3Transformation Equations for Plane Strain
13.4Principal Strains and Maximum Shearing Strain
13.5Presentation of Strain Transformation Results
13.6Mohr’s Circle for Plane Strain
13.7Strain Measurement and Strain Rosettes
13.8Generalized Hooke’s Law for Isotropic Materials
13.9Generalized Hooke’s Law for Orthotropic Materials
Chapter 14Pressure Vessels
14.1Introduction
14.2ThinWalled Spherical Pressure Vessels
14.3ThinWalled Cylindrical Pressure Vessels
14.4Strains in ThinWalled Pressure Vessels
14.5Stresses in ThickWalled Cylinders
14.6Deformation in ThickWalled Cylinders
14.7Interference Fits
Chapter 15Combined Loads
15.1Introduction
15.2Combined Axial and Torsional Loads
15.3Principal Stresses in a Flexural Member
15.4General Combined Loadings
15.5Theories of Failure
Chapter 16Columns
16.1Introduction
16.2Buckling of PinEnded Columns
16.3The Effect of End Conditions on Column Buckling
16.4The Secant Formula
16.5Empirical Column Formulas— Centric Loading
16.6Eccentrically Loaded Columns
Chapter 17Energy Methods
17.1Introduction
17.2Work and Strain Energy
17.3Elastic Strain Energy for Axial Deformation
17.4Elastic Strain Energy for Torsional Deformation
17.5Elastic Strain Energy for Flexural Deformation
17.6Impact Loading
17.7WorkEnergy Method for Single Loads
17.8Method of Virtual Work
17.9Deflections of Trusses by the VirtualWork Method
17.10Deflections of Beams by the VirtualWork Method
17.11Castigliano’s Second Theorem
17.12Calculating Deflections of Trusses by Castigliano’s Theorem
17.13Calculating Deflections of Beams by Castigliano’s Theorem
Appendix AGeometric Properties of an Area
A.1Centroid of an Area
A.2Moment of Inertia for an Area
A.3Product of Inertia for an Area
A.4Principal Moments of Inertia
A.5Mohr’s Circle for Principal Moments of Inertia
Appendix BGeometric Properties of Structural Steel Shapes
Appendix CTable of Beam Slopes and Deflections
Appendix DAverage Properties of Selected Materials
Answers to Problems
Index
Chapter 1 Stress
1.1 Introduction
1.2 Normal Stress Under Axial Loading
1.3 Direct Shear Stress
1.4 Bearing Stress
1.5 Stresses on Inclined Sections
1.6 Equality of Shear Stresses on Perpendicular Planes
Chapter 2 Strain
2.1 Displacement, Deformation, and the Concept of Strain
2.2 Normal Strain
2.3 Shear Strain
2.4 Thermal Strain
Chapter 3 Mechanical Properties of Materials
3.1 The Tension Test
3.2 The Stress–Strain Diagram
3.3 Hooke’s Law
3.4 Poisson’s Ratio
Chapter 4 Design Concepts
4.1 Introduction
4.2 Types of Loads
4.3 Safety
4.4 Allowable Stress Design
4.5 Load and Resistance Factor Design
Chapter 5 Axial Deformation
5.1 Introduction
5.2 SaintVenant’s Principle
5.3 Deformations in Axially Loaded Bars
5.4 Deformations in a System of Axially Loaded Bars
5.5 Statically Indeterminate Axially Loaded Members
5.6 Thermal Effects on Axial Deformation
5.7 Stress Concentrations
Chapter 6 Torsion
6.1 Introduction
6.2 Torsional Shear Strain
6.3 Torsional Shear Stress
6.4 Stresses on Oblique Planes
6.5 Torsional Deformations
6.6 Torsion Sign Conventions
6.7 Gears in Torsion Assemblies
6.8 Power Transmission
6.9 Statically Indeterminate Torsion Members
6.10 Stress Concentrations in Circular Shafts Under Torsional Loadings
6.11 Torsion of Noncircular Sections
6.12 Torsion of ThinWalled Tubes: Shear Flow
Chapter 7 Equilibrium of Beams
7.1 Introduction
7.2 Shear and Moment in Beams
7.3 Graphical Method for Constructing Shear and Moment Diagrams
7.4 Discontinuity Functions to Represent Load, Shear, and Moment
Chapter 8 Bending
8.1 Introduction
8.2 Flexural Strains
8.3 Normal Stresses in Beams
8.4 Analysis of Bending Stresses in Beams
8.5 Introductory Beam Design for Strength
8.6 Flexural Stresses in Beams of Two Materials
8.7 Bending Due to Eccentric Axial Load
8.8 Unsymmetric Bending
8.9 Stress Concentrations Under Flexural Loadings
8.10 Bending of Curved Bars
Chapter 9 Shear Stress in Beams
9.1 Introduction
9.2 Resultant Forces Produced by Bending Stresses
9.3 The Shear Stress Formula
9.4 The First Moment of Area Q
9.5 Shear Stresses in Beams of Rectangular Cross Section
9.6 Shear Stresses in Beams of Circular Cross Section
9.7 Shear Stresses in Webs of Flanged Beams
9.8 Shear Flow in BuiltUp Members
9.9 Shear Stress and Shear Flow in ThinWalled Members
9.10 Shear Centers of ThinWalled Open Sections
Chapter 10 Beam Deflections
10.1 Introduction
10.2 MomentCurvature Relationship
10.3 The Differential Equation of the Elastic Curve
10.4 Deflections by Integration of a Moment Equation
10.5 Deflections by Integration of ShearForce or Load Equations
10.6 Deflections Using Discontinuity Functions
10.7 Method of Superposition
Chapter 11 Statically Indeterminate Beams
11.1 Introduction
11.2 Types of Statically Indeterminate Beams
11.3 The Integration Method
11.4 Use of Discontinuity Functions for Statically Indeterminate Beams
11.5 The Superposition Method
Chapter 12 Stress Transformations
12.1 Introduction
12.2 Stress at a General Point in an Arbitrarily Loaded Body
12.3 Equilibrium of the Stress Element
12.4 Plane Stress
12.5 Generating the Stress Element
12.6 Equilibrium Method for Plane Stress Transformations
12.7 General Equations of Plane Stress Transformation
12.8 Principal Stresses and Maximum Shear Stress
12.9 Presentation of Stress Transformation Results
12.10 Mohr’s Circle for Plane Stress
12.11 General State of Stress at a Point
Chapter 13 Strain Transformations
13.1 Introduction
13.2 Plane Strain
13.3 Transformation Equations for Plane Strain
13.4 Principal Strains and Maximum Shearing Strain
13.5 Presentation of Strain Transformation Results
13.6 Mohr’s Circle for Plane Strain
13.7 Strain Measurement and Strain Rosettes
13.8 Generalized Hooke’s Law for Isotropic Materials
13.9 Generalized Hooke’s Law for Orthotropic Materials
Chapter 14 Pressure Vessels
14.1 Introduction
14.2 ThinWalled Spherical Pressure Vessels
14.3 ThinWalled Cylindrical Pressure Vessels
14.4 Strains in ThinWalled Pressure Vessels
14.5 Stresses in ThickWalled Cylinders
14.6 Deformation in ThickWalled Cylinders
14.7 Interference Fits
Chapter 15 Combined Loads
15.1 Introduction
15.2 Combined Axial and Torsional Loads
15.3 Principal Stresses in a Flexural Member
15.4 General Combined Loadings
15.5 Theories of Failure
Chapter 16 Columns
16.1 Introduction
16.2 Buckling of PinEnded Columns
16.3 The Effect of End Conditions on Column Buckling
16.4 The Secant Formula
16.5 Empirical Column Formulas— Centric Loading
16.6 Eccentrically Loaded Columns
Chapter 17 Energy Methods
17.1 Introduction
17.2 Work and Strain Energy
17.3 Elastic Strain Energy for Axial Deformation
17.4 Elastic Strain Energy for Torsional Deformation
17.5 Elastic Strain Energy for Flexural Deformation
17.6 Impact Loading
17.7 WorkEnergy Method for Single Loads
17.8 Method of Virtual Work
17.9 Deflections of Trusses by the VirtualWork Method
17.10 Deflections of Beams by the VirtualWork Method
17.11 Castigliano’s Second Theorem
17.12 Calculating Deflections of Trusses by Castigliano’s Theorem
17.13 Calculating Deflections of Beams by Castigliano’s Theorem
Appendix A Geometric Properties of an Area
A.1 Centroid of an Area
A.2 Moment of Inertia for an Area
A.3 Product of Inertia for an Area
A.4 Principal Moments of Inertia
A.5 Mohr’s Circle for Principal Moments of Inertia
Appendix B Geometric Properties of Structural Steel Shapes
Appendix C Table of Beam Slopes and Deflections
Appendix D Average Properties of Selected Materials
Answers to Problems
Index
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New to This Edition
Several new topics have been added to the fourth edition
o8.10 Bending of Curved Bars
o13.9 Generalized Hooke’s Law for Orthotropic Materials
o14.5 Stresses in ThickWalled Cylinders
o14.6 Deformations in ThickWalled Cylinders
o14.7 Interference Fits
 Updated chapter content and new examples: Especially in Chapters 8, 9, 13 and 14.
 Extensive changes to the textbook problems. More than 430 new problems have beendeveloped. In 10 of the 17 chapters, more than 60% of the textbook problems are newfor this edition.
Resources
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 MecMovies instructional software consists of over 160 animations. Most present detailed example problems and about 80 are interactive, providing learners with the opportunity to apply concepts and receive immediate feedback that includes key considerations, calculation details, and intermediate results.
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 An Ebook version of the print text that features hyperlinks to questions, definitions, and supplements for quick and easy support.
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 Integrated, multimedia resources—including MecMovies, Demonstration Videos, and Problemsolving Videos—that provide multiple study paths and encourage active learning.
 Reading & Concept Check Questions which students can use to test their understanding of topics, or instructors can assign as a PreLecture Quiz.
 NEW Practice Problems which students can use to test themselves and hone problemsolving skills.
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 Autogradable Guided Online (GO) Tutorials and Multistep Problems, which enable students to learn problemsolving strategies stepbystep and pinpoint exactly where they are making mistakes.
 NEW Practice Problem PPTs that work through practice problems for use in lecture by instructors, or can be provided to students for review.
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 Focuses On Visual Learning: The illustrations use color, shading, perspective, and dimension to clearly convey concepts while striving to place these concepts in the context of real world components and objects. These illustrations have been prepared by an engineer and educator (the author), to train future engineers.
 Problemsolving schema: The book and webbased features are designed to assist students in organizing and categorizing concepts and problemsolving procedures.
 Style and clarity of examples: This textbook places great emphasis on the presentation and quality of example problems. The author’s commentary explains why various steps are taken and describes the rationale for each step in a solution process while the accompanying illustrations help build the mental imagery needed to transfer the concepts to differingsituations.
 Homework philosophy: This textbook includes over 1,300 homework problems in a range of difficulty.
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