Mechanics of Materials SI with MasteringEngineering Pack

Chapter 1: Stress

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

1.7 Design of Simple Connections

Chapter 2: Strain

2.1 Deformation

2.2 Strain

Chapter 3: Mechanical Properties of Materials

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 Hooke’s Law

3.5 Strain Energy

3.6 Poisson’s Ratio

3.7 The Shear Stress–Strain Diagram

3.8 Failure of Materials Due to Creep and Fatigue

Chapter 4: Axial Load

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 Member

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

Chapter 5: Torsion

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

Chapter 6: Bending

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

Chapter 7: Transverse Shear

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

Chapter 8: Combined Loadings

8.1 Thin-Walled Pressure Vessels

8.2 State of Stress Caused by Combined Loadings

Chapter 9: Stress Transformation

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

Chapter 10: Strain Transformation

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

Chapter 11: Design of Beams and Shafts

11.1 Basis for Beam Design

11.2 Prismatic Beam Design

11.3 Fully Stressed Beams

11.4 Shaft Design

Chapter 12: Deflection of Beams and Shafts

12.1 The Elastic Curve

12.2 Slope and Displacement 12 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

Chapter 13: Buckling of Columns

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

Chapter 14: Energy Methods

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

A.1 Centroid of an Area

A.2 Moment of Inertia for an Area

A.3 Product of Inertia for an Area

A.4 Moments of Inertia for an Area about Inclined Axes

A.5 Mohr’s Circle for Moments of Inertia

Appendix B: Geometric Properties of Structural Shapes

Appendix C: Slopes and Deflections of Beams

Improving Problem Solving Skills
The text features a variety of problem types from a broad range of engineering disciplines with varying levels of difficulty, stressing realistic situations often encountered in professional practice. Students can build up their problem solving skills with these features:

NEW - Fundamental Problems: These problem sets can be considered as extended examples since they all have partial solutions and answers given at the back of the book. They offer simple application of concepts taught, allowing students to develop their fundamental problem-solving skills before attempting to solve standard problems. In addition, they are useful for exam preparation, being an excellent review of engineering fundamentals. : These problem sets can be considered as extended examples since they all have partial solutions and answers given at the back of the book. They offer simple application of concepts taught, allowing students to develop their fundamental problem-solving skills before attempting to solve standard problems. In addition, they are useful for exam preparation, being an excellent review of engineering fundamentals.
NEW - Conceptual Problems: These analysis and design problem types involve conceptual situations that allow students to think through and apply mechanical principles in real-life conceptual situations as depicted in photos. Such conceptual problems can be assigned when students have developed a certain level of expertise in the subject matter. They work well in both individual and team projects. : These analysis and design problem types involve conceptual situations that allow students to think through and apply mechanical principles in real-life conceptual situations as depicted in photos. Such conceptual problems can be assigned when students have developed a certain level of expertise in the subject matter. They work well in both individual and team projects.
Procedures for Analysis: This feature equips students with a logical and orderly method in applying theory, hence building their problem solving skills. A general procedure for analysing any mechanical problem is presented at the end of the first chapter. This strategic procedure can then be customised and modified to relate to specific types of problems found throughout the book.
Example-based Learning: Designed to help students who learn by example, the many examples found in the text illustrate the application of theories to practical engineering problems. They reflect problem solving strategies as discussed in the associated Procedures for Analysis. : Designed to help students who learn by example, the many examples found in the text illustrate the application of theories to practical engineering problems. They reflect problem solving strategies as discussed in the associated Procedures for Analysis.
Important Points: This feature provides a review of the most important concepts taught in a section. It highlights significant principles to watch out for when applying theory to problem solving.
Visual Learning - NEW - Interactive Animations: Key principles that are difficult to visualise and understand now come with interactive animations. These animations help students visualise the forces at work in an engineering situation, breaking down complicated sequences into step-by-step movement of engineering parts that can be readily related to changes in mathematical equation types and values. Being interactive, students can pause the animated sequence at multiple points to study and understand the equations that define it. This is also an effective tool for instructors to use in tutorials or lectures as it graphically explains difficult-to-understand concepts, saving them time. Interactive animations are hosted on the Companion Website.
Updated Video Solutions: Developed by Professor Edward Berger from the University of Virginia, our video solutions offer step-by-step solution walkthroughs of representative homework problems in each chapter. They come with detailed voice-over explanations and allow self-paced instruction with 24/7 accessibility. Students learn how to breakdown a complex problem into multiple steps to find a solution, reducing their reliance on instructors. These video solutions have been conveniently classified into SI and non-SI clusters. They are hosted on the Companion Website.
PhotoRealistic Art: 3-D figures are rendered with photographic quality to aid visualisation and understanding. 3-D figures are rendered with photographic quality to aid visualisation and understanding. Most pictures were taken by the author, and include appropriate vectors and notations that help bring to life the application of mechanical concepts. Illustrated figures effectively capture the 3-D nature of engineering. Physical objects, together with their dimensions and vectors, are illustrated in a manner that is easily understood
Photographs: Photos are used throughout the book to illustrate how the principles of mechanics apply in real-world situations. Most pictures were taken by the author, and include appropriate vectors and notations that help bring to life the application of mechanical concepts. Photos are used throughout the book to illustrate how the principles of mechanics apply in real-world situations. Most pictures were taken by the author, and include appropriate vectors and notations that help bring to life the application of mechanical concepts.
Illustrations. Illustrated figures effectively capture the 3-D nature of engineering. Physical objects, together with their dimensions and vectors, are illustrated in a manner that is easily understood. Illustrated figures effectively capture the 3-D nature of engineering. Physical objects, together with their dimensions and vectors, are illustrated in a manner that is easily understood.
Key principles that are difficult to visualise and understand now come with interactive animations. These animations help students visualise the forces at work in an engineering situation, breaking down complicated sequences into step-by-step movement of engineering parts that can be readily related to changes in mathematical equation types and values. Being interactive, students can pause the animated sequence at multiple points to study and understand the equations that define it. This is also an effective tool for instructors to use in tutorials or lectures as it graphically explains difficult-to-understand concepts, saving them time. Interactive animations are hosted on the Companion Website.
Review and Summary
End of Chapter Review: A concise end of chapter review captures all important points taught in a chapter, accompanied by their relevant equations and illustrations. For students who might want to re-read the main text to clarify a particular point, each summary statement has convenient cross references to the section where it was drawn from.
Accuracy: Thorough Checking: As with the previous editions, apart from the author, the accuracy of the text and solutions to problems have been thoroughly checked by four other parties: Scott Hendricks from Virginia Polytechnic Institute and State University; Karim Nohra from the University of South Florida; Kurt Norlin from Laurel Tech Integrated Publishing Services; and Kai Beng, a practicing engineer who also provided content development suggestions.

About the Author
Russell .C. Hibbeler graduated from the University of Illinois at Urbana with a BS in Civil Engineering (major in Structures) and an MS in Nuclear Engineering. He obtained his PhD in Theoretical and Applied Mechanics from Northwestern University. Hibbeler’s professional experience includes postdoctoral work in reactor safety and analysis at Argonne National Laboratory, and structural work at Chicago Bridge and Iron, as well as Sargent and Lundy in Tucson. He has practiced engineering in Ohio, New York, and Louisiana. Hibbeler currently teaches at the University of Louisiana, Lafayette. In the past he has taught at the University of Illinois at Urbana, Youngstown State University, Illinois Institute of Technology, and Union College.
About the Adaptor
Fan Sau Cheong who teaches at the Nanyang Technological University (NTU) in Singapore, received his PhD from the University of Hong Kong. Professor Fan is also Deputy Director, Centre for Advanced Numerical Engineering Simulations (CANES) at NTU. His industrial experience includes work and research on bridges, tall buildings, shell structures, jetties, pavements, cable structures, glass diaphragm walls and more. Professor Fan was also the adaptor for the 5th, 6th and 7th SI editions of Hibbeler’s Mechanics of Materials, and the 11th & 12th SI edition of Hibbeler’s Engineering Mechanics: Statics and Dynamics.

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