Statics and Mechanics of Materials, 5th edition

Published by Pearson (May 9, 2016) © 2017

  • Russell C. Hibbeler
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For courses in introductory combined Statics and Mechanics of Materials courses found in ME, CE, AE, and Engineering Mechanics departments.

Statics and Mechanics of Materials represents a combined abridged version of two of the author’s books, namely Engineering Mechanics: Statics, Fourteenth Edition and Mechanics of Materials, Tenth Edition. It provides a clear and thorough presentation of both the theory and application of the important fundamental topics of these subjects, that are often used in many engineering disciplines. The development emphasizes the importance of satisfying equilibrium, compatibility of deformation, and material behavior requirements. The hallmark of the book, however, remains the same as the author’s unabridged versions, and that is, strong emphasis is placed on drawing a free-body diagram, and the importance of selecting an appropriate coordinate system and an associated sign convention whenever the equations of mechanics are applied. Throughout the book, many analysis and design applications are presented, which involve mechanical elements and structural members often encountered in engineering practice.

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MasteringEngineering is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Interactive, self-paced tutorials provide individualized coaching to help students stay on track. With a wide range of activities available, students can actively learn, understand, and retain even the most difficult concepts. The text and MasteringEngineering work together to guide students through engineering concepts with a multi-step approach to problems.

About the Book

ORGANIZATION AND SUPPORT

  • Well-defined sections are part of each chapter and contain explanations of specific topics, illustrative example problems, and a set of homework problems. The topics within each section are placed into subgroups, defined by titles, which present a structured method for introducing each new definition or concept and making the book convenient for later reference and review.
  • A full-page illustration begins each chapter and indicates a broad-range application of the chapter material.
  • Chapter Objectives are then provided to give a general overview of the material that will be covered.
  • Thorough End-of-Chapter Reviews include a summary of the important concepts, accompanied by relevant equations and art.
  • Appendixes provide a source for review and a listing of tabular data. Appendix A covers information on the centroid and the moment of inertia of an area. Appendixes B and C list tabular data for structural shapes, and the deflection and slopes of various types of beams and shafts.

PROBLEM SOLVING

  • Drawing Free-Body Diagrams is particularly important when solving problems, and for this reason this step is strongly emphasized throughout the book. In particular, within the statics coverage some sections are devoted to show how to draw free-body diagrams. Specific homework problems have also been added to develop this practice.
  • NEW! Approximately 80% of the total problems have been changed in this edition, which involve applications to many different fields of engineering.
  • UPDATED! Review problems have been updated and placed at the end of each chapter, so that instructors can assign them as additional preparation for exams.
  • Procedures for Analysis, which is a unique feature found throughout the book, provides students with a logical and orderly method to follow when applying the theory.
  • Examples are designed to help students who “learn by example.” They illustrate the application of fundamental theory to practical engineering problems, and reflect the problem-solving strategies discussed in the associated Procedures for Analysis feature. All example problems are presented in a concise manner and in a style that is easy to understand.
  • General Analysis and Design Problems comprise the majority of problems in the book and depict realistic situations encountered in engineering practice. Some of these problems come from actual products used in industry. It is hoped that this realism will both stimulate the student’s interest in engineering mechanics and provide a means for developing the skill to reduce any such problem from its physical description to a model or symbolic representation to which the principles of mechanics may be applied.
  • REVISED! Preliminary Problems can be found throughout the text, just before the Fundamental Problems. The intent here is to test the student’s conceptual understanding of the theory. Normally the solutions require little or no calculation, and as such, these problems provide a basic understanding of the concepts before they are applied numerically. All the solutions are given in the back of the text.
  • Improved Fundamental Problems are located just after the Preliminary Problems. They offer students basic applications of the concepts covered in each section, and they help provide the chance to develop their problem-solving skills"
  • The Important Points feature provides a summary of the most important concepts in a section.
  • Conceptual Problems, located at the end of several chapters, encourage students to apply principles to real-world problems, as depicted in a photo.
  • Homework Problems stimulate student interest by depicting realistic situations encountered in engineering practice.
    • There is an approximate balance between the problems that use SI units and FPS units.
    • Problems are typically arranged in order of increasing difficulty.
    • Answers to all but every fourth problem are listed in the back of the book.  

VISUALIZATION

  • NEW! A new layout, with additional design features, provides a convenient display of the material. Nearly all topics are presented in a one- or two-page spread to minimize page turning.  
  • UPDATED! Enhanced or updated photos are used to illustrate how engineering principles apply to real-world situations, and how materials behave under load.
  • Photorealistic Art, in the form of 3D figures, is rendered with photographic quality.  
  • Illustrated figures connect to the 3D nature of engineering. Particular attention is given to providing an understandable view of any physical object, its dimensions, and vectors.
  • Conceptual Understanding. Through the use of photographs placed throughout the book, the theory is applied in a simplified way in order to illustrate some of its more important conceptual features and instill the physical meaning of many of the terms used in the equations. These simplified applications increase interest in the subject matter and better prepare the student to understand the examples and solve problems.

REVIEW AND STUDENT SUPPORT

  • NEW! Expanded Solutions for some of the fundamental problems now have more detailed solutions, including artwork, for better clarification. Also, some of the more difficult problems have additional hints along with its answer when given in the back of the book.

CURRENCY AND ACCURACY

  • REVISED! Updated and re-written material throughout, enhances clarity and makes the text more current. Some of the artwork has also been enlarged and improved to support these changes.
  • A rigorous Triple Accuracy Checking of the Fourth Edition has produced an even stronger Fifth Edition. In addition to the author’s review of all art pieces and pages, the text was checked by the following individuals: Scott Hendricks, Virginia Polytechnic University; Karim Nohra, University of South Florida; Kurt Norlin, Bittner Development Group; and Kai Beng Yap, Engineering Consultant.
  • NEW! Content Revisions are incorporated in each section of the text after being carefully reviewed and, in some areas, the material has been redeveloped to better explain the concepts.

 \

Also Available with MasteringEngineering

MasteringEngineering is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Interactive, self-paced tutorials provide individualized coaching to help students stay on track. With a wide range of activities available, students can actively learn, understand, and retain even the most difficult concepts. The text and MasteringEngineering work together to guide students through engineering concepts with a multi-step approach to problems.

  • MasteringEngineering tutorial homework problems are designed to emulate the instructor’s office-hour environment. Tutorials guide students through engineering concepts in multi-step problems that provide feedback specific to their errors, along with optional hints for breaking down the problems into smaller steps.
    • Wrong-answer feedback, personalized for each student, responds to a wide variety of common wrong answers with immediate feedback specific to their error.
    • The Optional Hints feature provides hints of two types. Declarative hints give advice on how to approach the problem, while Socratic hints break down a problem into smaller sub-problems.
    • Homework problems support the problem-solving techniques in the text. Answer entry, beyond numerical input, includes:
      • Plotting Mohr’s Circle for a Specific Element
      • Identifying Key Points on Stress/Strain Curve
      • Plotting the Shear and Bending Moment Diagrams for a Beam
  • Video Solutions — developed by Prof. Edward Berger, Purdue University offer step-by-step solution walkthroughs of representative homework problems from each section of the text.
  • NEW! Adaptive Follow-Up Assignments are based on each student's past performance on his/her course work to date, including homework, tests, and quizzes. These provide additional coaching and targeted practice as needed, so students can master the material.
  • Mastering gradebook and diagnostic tools capture the step-by-step work of every student — including wrong answers submitted, hints requested, and time taken at every step of every problem — providing insight into the most common misconceptions among students.
    • The Gradebook records all scores for automatically graded assignments. Struggling students and challenging assignments are highlighted in shades of red, giving instructors an at-a-glance view of potential hurdles in the course.
    • Mastering’s Gradebook Diagnostic Charts provide unique insight into class and student performance. With a single click, a selection of charts summarizes key performance measures such as item difficulty, time on task, and grade distribution.
    • The Student Data view, also available with a single click, provides quick statistics on how the class compares to the national results. Wrong-answer summaries give unique insight into students’ misconceptions and facilitate just-in-time teaching adjustments.
  • Learning Outcomes Summaries track student- or class-level performance for both publisher- and instructor-provided learning outcomes. All assignable MasteringEngineering content has been tagged to ABET Learning Outcomes A, E & K. Mastering also enables instructors to add their own learning outcomes and associate those with MasteringEngineering content.
  • NEW! Learning Catalytics™ helps instructors generate class discussion, guides lectures, and promotes peer-to-peer learning with real-time analytics. This interactive student-response tool, accompanied with Mastering with eText, allows instructors to use students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. Instructors can:
    • Pose a variety of open-ended questions that help students develop critical-thinking skills
    • Monitor responses to find out where students are struggling
    • Use real-time data to adjust the instructional strategy and try other ways of engaging students during class
    • Manage student interactions by automatically grouping students for discussion, teamwork, and peer-to-peer learning
ABOUT THE BOOK

PROBLEM SOLVING

  • REVISED! Preliminary Problems can be found throughout the text, just before the Fundamental Problems. The intent here is to test the student’s conceptual understanding of the theory. Normally the solutions require little or no calculation, and as such, these problems provide a basic understanding of the concepts before they are applied numerically. All the solutions are given in the back of the text.

  • Improved Fundamental Problems are located just after the Preliminary Problems. They offer students basic applications of the concepts covered in each section, and they help provide the chance to develop their problem-solving skills"

CURRENCY AND ACCURACY

  • REVISED! Updated and re-written material throughout, enhances clarity and makes the text more current. Some of the artwork has also been enlarged and improved to support these changes.
  • A rigorous Triple Accuracy Checking of the Fourth Edition has produced an even stronger Fifth Edition. In addition to the author’s review of all art pieces and pages, the text was checked by the following individuals: Scott Hendricks, Virginia Polytechnic University; Karim Nohra, University of South Florida; Kurt Norlin, Bittner Development Group; and Kai Beng Yap, Engineering Consultant.
  • NEW! Content Revisions are incorporated in each section of the text after being carefully reviewed and, in some areas, the material has been redeveloped to better explain the concepts.

Also Available with MasteringEngineering™

MasteringEngineering is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Interactive, self-paced tutorials provide individualized coaching to help students stay on track. With a wide range of activities available, students can actively learn, understand, and retain even the most difficult concepts. The text and MasteringEngineering work together to guide students through engineering concepts with a multi-step approach to problems.

  • NEW! Adaptive Follow-Up Assignments are based on each student's past performance on his/her course work to date, including homework, tests, and quizzes. These provide additional coaching and targeted practice as needed, so students can master the material.
  • NEW! Learning Catalytics™ helps instructors generate class discussion, guides lectures, and promotes peer-to-peer learning with real-time analytics. This interactive student-response tool, accompanied with Mastering with eText, allows instructors to use students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. Instructors can:
    • Pose a variety of open-ended questions that help students develop critical-thinking skills
    • Monitor responses to find out where students are struggling
    • Use real-time data to adjust the instructional strategy and try other ways of engaging students during class
    • Manage student interactions by automatically grouping students for discussion, teamwork, and peer-to-peer learning

Table of Contents

  1. General Principles
    • Chapter Objectives
    • 1.1 Mechanics
    • 1.2 Fundamental Concepts
    • 1.3 The International System of Units
    • 1.4 Numerical Calculations
    • 1.5 General Procedure for Analysis
  2. Force Vectors
    • Chapter Objectives
    • 2.1 Scalars and Vectors
    • 2.2 Vector Operations
    • 2.3 Vector Addition of Forces
    • 2.4 Addition of a System of Coplanar Forces
    • 2.5 Cartesian Vectors
    • 2.6 Addition of Cartesian Vectors
    • 2.7 Position Vectors
    • 2.8 Force Vector Directed Along a Line
    • 2.9 Dot Product
  3. Force System Resultants
    • Chapter Objectives
    • 3.1 Moment of a Force–Scalar Formulation
    • 3.2 Cross Product
    • 3.3 Moment of a Force–Vector Formulation
    • 3.4 Principle of Moments
    • 3.5 Moment of a Force about a Specified Axis
    • 3.6 Moment of a Couple
    • 3.7 Simplification of a Force and Couple System
    • 3.8 Further Simplification of a Force and Couple System
    • 3.9 Reduction of a Simple Distributed Loading
  4. Equilibrium of a Rigid Body
    • Chapter Objectives
    • 4.1 Conditions for Rigid-Body Equilibrium
    • 4.2 Free-Body Diagrams
    • 4.3 Equations of Equilibrium
    • 4.4 Two- and Three-Force Members
    • 4.5 Free-Body Diagrams
    • 4.6 Equations of Equilibrium
    • 4.7 Characteristics of Dry Friction
    • 4.8 Problems Involving Dry Friction
  5. Structural Analysis
    • Chapter Objectives
    • 5.1 Simple Trusses
    • 5.2 The Method of Joints
    • 5.3 Zero-Force Members
    • 5.4 The Method of Sections
    • 5.5 Frames and Machines
  6. Center of Gravity, Centroid, and Moment of Inertia
    • Chapter Objectives
    • 6.1 Center of Gravity and the Centroid of a Body
    • 6.2 Composite Bodies
    • 6.3 Moments of Inertia for Areas
    • 6.4 Parallel-Axis Theorem for an Area
    • 6.5 Moments of Inertia for Composite Areas
  7. Stress and Strain
    • Chapter Objectives
    • 7.1 Introduction
    • 7.2 Internal Resultant Loadings
    • 7.3 Stress
    • 7.4 Average Normal Stress in an Axially Loaded Bar
    • 7.5 Average Shear Stress
    • 7.6 Allowable Stress Design
    • 7.7 Deformation
    • 7.8 Strain
  8. Mechanical Properties of Materials
    • Chapter Objectives
    • 8.1 The Tension and Compression Test
    • 8.2 The Stress—Strain Diagram
    • 8.3 Stress—Strain Behavior of Ductile and Brittle Materials
    • 8.4 Strain Energy
    • 8.5 Poisson’s Ratio
    • 8.6 The Shear Stress—Strain Diagram
  9. Axial Load
    • Chapter Objectives
    • 9.1 Saint-Venant’s Principle
    • 9.2 Elastic Deformation of an Axially Loaded Member
    • 9.3 Principle of Superposition
    • 9.4 Statically Indeterminate Axially Loaded Members
    • 9.5 The Force Method of Analysis for Axially Loaded Members
    • 9.6 Thermal Stress
  10. Torsion
    • Chapter Objectives
    • 10.1 Torsional Deformation of a Circular Shaft
    • 10.2 The Torsion Formula
    • 10.3 Power Transmission
    • 10.4 Angle of Twist
    • 10.5 Statically Indeterminate Torque-Loaded Members
  11. Bending
    • Chapter Objectives
    • 11.1 Shear and Moment Diagrams
    • 11.2 Graphical Method for Constructing Shear and Moment Diagrams
    • 11.3 Bending Deformation of a Straight Member
    • 11.4 The Flexure Formula
    • 11.5 Unsymmetric Bending
  12. Transverse Shear
    • Chapter Objectives
    • 12.1 Shear in Straight Members
    • 12.2 The Shear Formula
    • 12.3 Shear Flow in Built-Up Members
  13. Combined Loadings
    • Chapter Objectives
    • 13.1 Thin-Walled Pressure Vessels
    • 13.2 State of Stress Caused by Combined Loadings
  14. Stress and Strain Transformation
    • Chapter Objectives
    • 14.1 Plane-Stress Transformation
    • 14.2 General Equations of Plane-Stress Transformation
    • 14.3 Principal Stresses and Maximum In-Plane Shear Stress
    • 14.4 Mohr’s Circle–Plane Stress
    • 14.5 Absolute Maximum Shear Stress
    • 14.6 Plane Strain
    • 14.7 General Equations of Plane-Strain Transformation
    • *14.8 Mohr’s Circle–Plane Strain
    • *14.9 Absolute Maximum Shear Strain
    • 14.10 Strain Rosettes
    • 14.11 Material Property Relationships
  15. Design of Beams and Shafts
    • Chapter Objectives
    • 15.1 Basis for Beam Design
    • 15.2 Prismatic Beam Design
  16. Deflection of Beams and Shafts
    • Chapter Objectives
    • 16.1 The Elastic Curve
    • 16.2 Slope and Displacement by Integration
    • *16.3 Discontinuity Functions
    • 16.4 Method of Superposition
    • 16.5 Statically Indeterminate Beams and Shafts–Method of Superposition
  17. Buckling of Columns
    • Chapter Objectives
    • 17.1 Critical Load
    • 17.2 Ideal Column with Pin Supports
    • 17.3 Columns Having Various Types of Supports
    • *17.4 The Secant Formula

Appendix

  1. Mathematical Review and Expressions
  2. Geometric Properties of An Area and Volume
  3. Geometric Properties of Wide-Flange Sections
  4. Slopes and Deflections of Beams

Preliminary Problems Solutions

Fundamental Problems

Solutions and Answers

Selected Answers

Index

R.C. Hibbeler graduated from the University of Illinois at Urbana with a BS in Civil Engineering (majoring in Structures) and an MS in Nuclear Engineering. He obtained his PhD in Theoretical and Applied Mechanics from Northwestern University. Professor Hibbeler’s professional experience includes postdoctoral work in reactor safety and analysis at Argonne National Laboratory, and structural and stress analysis work at Chicago Bridge and Iron, as well as at Sargent and Lundy in Chicago. He has practiced engineering in Ohio, New York, and Louisiana.

Professor Hibbeler currently teaches both civil and mechanical engineering courses 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.

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