Advanced Mechanics of Materials Fifth Edition

Abstract

This fifth edition represents a major revision of the fourth edition. However, as in previous editions, the blend of analysis, qualified approximations, and judgements based on practical experience is maintained. Each topic is developed from basic principles so that the applicability and limitations of the methods employed are clear. Introductory statements in each chapter serve as guidelines for the reader to the topics that are discussed. The topics are divided into three major parts: Part !-Fundamental Concepts; Part 11-Classical Topics in Advanced Mechanics; and Part III-Selected Advanced Topics. Part I, Chapters 1-5, includes topics from elasticity, plasticity, and energy methods that are important in the remainder of the book. In Chapter 1, the role and the limits of design are discussed. Basic concepts of one-dimensional loadstress, load-deflection, and stress-strain diagrams are introduced. A discussion of the tension test and associated material properties is presented, followed by an introduction to failure theories. These concepts are followed, in Chapter 2, by the theories of stress and strain, and by strain measurements (strain rosettes) and, in Chapter 3, by the theory of linear stress-strain-temperature relations. The discussion of anisotropic materials has been expanded, and example problems on orthotropic material behavior are given. Student problems for anisotropic materials are also included. Chapter 4 contains much new material related to inelastic (nonlinear) behavior and a broader treatment of yield criteria, including elasticplastic behavior of beams, strain-hardening effects in bars, and residual stresses in elastic-plastic bars after unloading. The application of energy methods, Chapter 5, is expanded to include an in-depth discussion of the dummy-load method used by structuraL engineers and its relation to the Castigliano method. Additional worked examples and many new problems have been added. (In this edition, problems have been placed at the end of each Chapter, rather than at the end of each section.) Part II, Chapters 6- 12, treats some classical topics of advanced mechanics. Torsion is treated in Chapter 6, including new examples and problems. In addition, a finite difference solution of the rectangular cross section bar is presented. An example of limit analysis and residual stresses in a circular cross section shaft is also included. In Chapters 7 to 9, the three topics of unsymmetrical bending, shear center, and curved beams are examined on a rigorous basis, and limitations