# Mechanics of Materials: An Integrated Learning System, 4th Edition

# Mechanics of Materials: An Integrated Learning System, 4th Edition

ISBN: ES8-1-119-32088-3

## 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 award-winning MecMovies software. Content has been thoroughly revised throughout the text to provide students with the latest information in the field.**

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**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 Saint-Venant'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 Thin-Walled 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 Built-Up Members

9.9 Shear Stress and Shear Flow in Thin-Walled Members

9.10 Shear Centers of Thin-Walled Open Sections

**Chapter 10 Beam Deflections**

10.1 Introduction

10.2 Moment-Curvature 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 Shear-Force 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 sotropic Materials

13.9 Generalized Hooke's Law for Orthotropic Materials

**Chapter 14 Pressure Vessels**

14.1 Introduction

14.2 Thin-Walled Spherical Pressure Vessels

14.3 Thin-Walled Cylindrical Pressure Vessels

14.4 Strains in Thin-Walled Pressure Vessels

14.5 Stresses in Thick-Walled Cylinders

14.6 Deformation in Thick-Walled 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 Pin-Ended 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 Work-Energy Method for Single Loads

17.8 Method of Virtual Work

17.9 Deflections of Trusses by the Virtual-Work Method

17.10 Deflections of Beams by the Virtual-Work 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**

Index

**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 Thick-Walled Cylinders

o14.6 Deformations in Thick-Walled 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

**WileyPLUS** is an online teaching and learning platform that helps you and your students achieve educational success. WileyPLUS gives students opportunities for practice, organizes learning to show connections between assessment and learning content, and tracks progress to help students stay on path for success. Included in this course:

**ORION**adaptive practice that helps students build their proficiency on topics and use their study time most effectively. Using WileyPLUS and ORION, students are able to learn complex concepts more efficiently than just reading alone.**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.

**What do students receive with WileyPLUS?**

- An E-book version of the print text that features hyperlinks to questions, definitions, and supplements for quick and easy support.
- Immediate feedback and question assistance, including links to relevant sections in the digital textbook.
- Integrated, multimedia resources—including MecMovies, Demonstration Videos, and Problem-solving 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 Pre-Lecture Quiz.
- NEW Practice Problems which students can use to test themselves and hone problem-solving skills.

**What do instructors receive with WileyPLUS?**

- Homework management tools, which enable the instructor to easily assign and automatically grade problems.
- QuickStart reading and homework assignments that can be used as-is or customized to fit the needs of your course.
- Media-rich course materials including Instructor Solutions Manual, Art PPT presentations, and Image Gallery.
- Auto-gradable Guided Online (GO) Tutorials and Multistep Problems, which enable students to learn problem-solving strategies step-by-step 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.

**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.**Problem-solving schema:**The book and web-based features are designed to assist students in organizing and categorizing concepts and problem-solving 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.