Statics and Mechanics of Materials, 1st edition

Published by Pearson (September 25, 2002) © 2003

  • Anthony Bedford
  • Kenneth M Liechti
  • Wallace Fowler University of Texas, Austin
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For core Introductory Statics and Mechanics of Materials courses found in mechanical, civil, aeronautical, or engineering mechanics departments.

This text presents the foundations and applications of statics and mechanics of materials by emphasizing the importance of visual analysis of topics—especially through the use of free body diagrams. It also promotes a problem-solving approach to solving examples through its strategy, solution, and discussion format in examples. The authors further include design and computational examples that help instructors integrate these ABET 2000 requirements.

  • True problem-solving approach in examples—Structures most examples into three sections: Strategy, Solution, and Discussion: Strategy—Lays out plan of attack for example. Encourages students to think about the challenges inherent in an example. Solutions—A complete step-by-step solution follows that focuses heavily on free-body diagrams and uses them as a tool. Discussion—Asks the student to consider alternate methods of solution or proposes ways to check work.
    • Encourages students to think about how to solve examples versus following a list.

  • Engineering design—Includes design examples. More design examples and projects found on the Web.
  • Emphasizes application—Places the subjects within the context of engineering practice by including applications from many fields of engineering.
  • Computational mechanics examples located on the Website—Provide optional self-contained examples. Professors can use any programming language or math solver of their choice.
  • Contains more examples than competing texts for students who learn primarily through examples.
  • NEW - All examples now titled to indicate exactly what material they cover.
  • NEW - Study questions—Many sections end with 3-4 brief, open-ended study questions.
    • Tests a student's understanding of a section.

  • Website—Contains: Over 30 Matlab and MathCAD tutorials/worksheets prepared for concepts in the text; extra computational examples; design support including extra example student projects; supplemental material; T/F, and multiple-choice concept questions keyed to each chapter.
  • Statics Study Pack—Optional supplement contains: free body diagram workbook; working model simulation CD; passcode access to 250 supplemental statics problems.
  • All examples now titled to indicate exactly what material they cover.
  • Study questions—Many sections end with 3-4 brief, open-ended study questions.
    • Tests a student's understanding of a section.



1. Introduction.

Engineering and Mathematics. Learning Mathematics. Fundamental Concepts. Units.



2. Vectors.

Scalars and Vectors. Rules for Manipulating Vectors. Cartesian Components. Components in Two Dimensions. Components in Three Dimensions. Products of Vectors. Dot Products. Cross Products. Mixed Triple Products.



3. Forces.

Types of Forces. Equilibrium and Free-Body Diagrams. Two-Dimensional Force Systems. Three-Dimensional Force Systems.



4. Systems of Forces and Moments.

Two-Dimensional Description of the Moment. The Moment Vector. Moment of a Force About a Line. Couples. Equivalent Systems. Representing Systems by Equivalent Systems.



5. Objects in Equilibrium.

The Equilibrium Equations. Two-Dimensional Applications. Statically Indeterminate Objects. Three-Dimensional Applications. Two-Force and Three-Force Members.



6. Structures in Equilibrium.

Trusses. The Method of Joints. The Method of Sections. Frames and Machines.



7. Centroids and Moments of Inertia.

Centroids. Centroids of Areas. Centroids of Composite Areas. Distributed Loads. Centroids of Volumes and Lines. Centers of Mass. Centers of Mass of Composite Objects. Moments of Inertia of Areas. Parallel-Axis Theorems.



8. Friction.

Theory of Dry Friction. Applications.



9. Measures of Stress and Strain.

Stresses. Strains.



10. Axially Loaded Bars.

Stresses in Prismatic Bars. Strains in Prismatic Bars. Statically Indeterminate Problems. Nonprismatic Bars and Distributed Loads. Thermal Strains. Material Behavior. Design Issues.



11. Torsion.

Pure Shear Stress. Torsion of Prismatic Circular Bars. Statically Indeterminate Problems. Nonprismatic Bars and Distributed Loads.



12. States of Stress.

Components of Stress. Transformations of Plane Stress. Mohr's Circle for Plane Stress. Principle Stresses in Three Dimensions. Design Issues: Pressure Vessels.



13. States of Strain and the Stress-Strain Relations.

Components of Strain. Transformations of Plane Strain. Stress-Strain Relations.



14. Internal Forces and Moments in Beams.

Axial Force, Shear Force, and Bending Moment. Shear Force and Bending Moment Diagrams. Equations Relating distributed Load, Shear force, and Bending Moment.



15. Stresses in Beams.

Normal Stress. Shear Stress.



16. Deflections of Beams.

Determination of the Deflection. Statically Indeterminate Beams. Method of Superposition.



17. Buckling of Columns.

Euler Buckling Load. Other End Conditions.



Appendix A: Review of Mathematics.

Algebra. Trigonometry. Derivatives. Integrals. Taylor Series. Vector Analysis.



Appendix B: Properties of Areas and Lines.

Areas. Lines.



Appendix C: Properties of Volumes and Homogeneous Objects.


Appendix D: Material Properties.


Appendix E: Deflections and Slopes of Prismatic Beams.


Answers to Even-Numbered Problems.


Index.

Anthony Bedford is Professor of Aerospace Engineering and Engineering Mechanics at the University of Texas at Austin. He received the B.S. degree from the University of Texas at Austin, the M.S. degree from the California Institute of Technology, and the Ph.D. degree from Rice University in 1967. He has industrial experience at Douglas Aircraft Company and at TRW, where he did structural dynamics and trajectory analyses for the Apollo program. He has been on the faculty of the University of Texas at Austin since 1968. He is a member of the University of Texas Academy of Distinguished Teachers and has received several teaching awards over the years.

Dr. Bedford's main professional activity has been education and research in engineering mechanics. He has been principal investigator on grants from the National Science Foundation and the Office of Naval Research, and from 1973 until 1983 was a consultant to Sandia National Laboratories, Albuquerque, New Mexico. His other books include Hamilton's Principle in Continuum Mechanics, Introduction to Elastic Wave Propagation (with D.S. Drumheller), and Mechanics of Materials (with K.M. Liechti).

Wallace T. Fowler holds the Paul D. and Betty Robertson Meek Professorship in Engineering in the Department of Aerospace Engineering and Engineering Mechanics at University of Texas at Austin. Dr. Fowler received the B.A., M.S., and Ph.D. degrees from the University of Texas at Austin, and has been on the faculty there since 1965. During the Fall of .1976, he was on the staff of the United States Air Force Test Pilot School, Edwards Air Force Base, California, and in 1981-1982 he was a visiting professor at the United States Air Force Academy. Since 1991 he has been Associate Director of the Texas Space Grant Consortium.

Dr. Fowler's areas of teaching and research are dynamics, orbital mechanics, and spacecraft mission design. He is author or coauthor of technical papers on trajectory optimization, attitude dynamics, and space mission planning and has also published papers on the theory and practice of engineering teaching. He has received numerous teaching awards including the Chancellor's Council Outstanding Teaching Award, the General Dynamics Teaching Excellence Award, the Halliburton Education Foundation Award of Excellence, the ASEE Fred Merryfield Design Award, and the AIAA-ASEE Distinguished Aerospace Educator Award. He is a member of the Academy of Distinguished Teachers at the University of Texas at Austin. He is a licensed professional engineer, a member of several technical societies, and a Fellow of both the American Institute of Aeronautics and Astronautics and the American Society for Engineering Education. In 2000-2001, he served as president of the American Society for Engineering Education.

Kenneth M. Liechti is a Professor of Aerospace Engineering and Engineering Mechanics at the University of Texas at Austin and holds the E. P. Schoch Professorship in Engineering. He received the B.Sc. degree in aeronautical engineering from Glascow University and the M.S. and Ph.D. degrees in aeronautics from the California Institute of Technology. He gained industrial experience at the Fort Worth Division of General Dynamics prior to joining the faculty of the University of Texas at Austin in 1982.

His primary areas of teaching and research are in the mechanics of materials and fracture mechanics. He is the author or coauthor of papers on interfacial fracture, fracture in adhesively bonded joints, and the nonlinear behavior of polymers. He has consulted on fracture problems with several companies.

Dr. Lieehti is a Fellow of the American Society of Mechanical Engineers and a member of the Society for Experimental Mechanics, the American Academy of Mechanics, and the Adhesion Society. He is an associate editor of the journal Experimental Mechanics, published by the Society for Experimental Mechanics.

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