Introduction to Solid Mechanics (3rd Edition)

Description

For second or third-year solids courses, and a valuable reference for subsequent coursework in Mechanical Engineering, Civil Engineering or Material Science.

This book offers a rigorous treatment of the principles behind the practices, asking students to harness their sound foundation of theory when solving problems. A wealth of examples illustrate the meaning of the theory without simply offering recipes or maps for solving similar problems.

Key Features

• NEW – Greatly expanded, full-semester coverage of algebraic topology—Extensive treatment of the fundamental group and covering spaces. What follows is a wealth of applications—to the topology of the plane (including the Jordan curve theorem), to the classification of compact surfaces, and to the classification of covering spaces.
• A final chapter provides an application to group theory itself.

Table of Contents

1. Fundamental Notions
2. Stress
3. Strain
4. Introduction to Mechanical Properties of Solids
5. One-Dimensional Problems
6. Generalized Hooke’s Law and Introduction to Energy Methods
7. Plane Stress
8. Plane Strain
9. Failure Criteria
10. Section Forces in Beams
11. Stresses in Beams
12. Deflection of Beams
13. Singularity Functions
14. Torsion
15. Three Dimensional Stress Properties at a Point
16. Three-Dimensional Strain Relations at a Point
17. Introduction to Elastic Stability
18. Energy Methods
19. Introduction to Finite Elements
20. Appendices