Statics and Mechanics of Materials, 1st edition

  • Anthony M. Bedford
  • Kenneth M Liechti
  • Wallace Fowler

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This book 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 integrate these ABET 2000 requirements. KEY TOPICS: Chapter topics include vectors, forces, systems of forces and moments, objects in equilibrium, structures in equilibrium, centroids and centers of mass centroids, moments of inertia, measures of stress and strain, states of stress, states of strain and the stress-strain relations, axially loaded bars, torsion, internal forces and moments in beams, stresses in beams, deflections of beams, buckling of columns, energy methods, and introduction to fracture mechanics. MARKET: For civil/aeronautical/engineering mechanics.

Table of contents

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.


Published by Pearson (September 25th 2002) - Copyright © 2003