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Download Energy Principles in Structural Mechanics epub

by Theodore R. Tauchert




Download Energy Principles in Structural Mechanics epub
ISBN: 0898743095
ISBN13: 978-0898743098
Category: Engineering
Subcategory: Engineering
Author: Theodore R. Tauchert
Language: English
Publisher: Krieger Pub Co (August 1, 1981)
Pages: 380 pages
ePUB size: 1974 kb
FB2 size: 1459 kb
Rating: 4.6
Votes: 703
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As engineering structures and their environments become more diverse and complex, it is not enough that the engineer be adept at applying the classical methods of structural analysis. More importantly, he must be aware of the limitations of the underlying theories and be able to make intelligent judgments about the validity of the basic assumptions. It is hoped that, by starting with a discussion of the classical theory of elasticity, this text will make clear the applicability and limitations of linear structural mechanics. The emphasis of the book is on the development and applications of work and energy methods. The principles of virtual work, complementary virtual work, and various energy theorems derived there from are used to study the behavior of linearly elastic structures. While no attempt is made to cover the many ad hoc techniques which are appropriate for special types of structures, the basic force and displacement approaches treated herein have a wide range of application and are particularly adaptable to machine computation. This book was developed from class notes used in teaching a two-term introductory course in structural mechanics at Princeton University. Portions of the notes have also been used in advanced strength-of-materials and mechanical vibration courses at the University of Kentucky. Those enrolled in the courses include juniors, seniors, and beginning graduate students from the departments of aerospace, mechanical, and civil engineering, and engineering mechanics. It is presumed that the students have had the normal undergraduate courses in engineering mechanics and have been exposed to ordinary differential equations. Following an introductory chapter, the book is divided into three parts. Part I, comprising Chapters 2 to 5, is concerned with the foundations of solid mechanics. The concepts of stress, strain, and material behavior are reviewed in Chapters 2, 3, and 4. Virtual work principles are developed in Chapter 5 and are used to derive reciprocal theorems and minimum energy principles. Exact and approximate solutions are shown for the stress and deformation distributions in several structural elements.

Part II contains four chapters dealing with the behavior of structures under stationary loads. Relatively simple, statically indeterminate beams, trusses, and frames are analyzed in Chapter 6. The conjugate force and displacement methods are formulated in matrix notation in Chapter 7, and are applied to more complicated framed and stiffened structures. The basic equations governing the noniso-thermal behavior of elastic bodies are developed in Chapter 8, and the response of structures to combined thermal and mechanical loadings are examined. Chapter 9 provides an introduction to elastic stability.

Part III of the text is concerned with the behavior of structures subject to dynamic loads. Structures which can be idealized as discrete-mass systems are considered in Chapters 10 and 11. Chapter 12 deals with the dynamic response of distributed-mass systems.

For readers who are unfamiliar with cartesian tensors, matrix algebra, or the calculus of variations, these topics are discussed in sufficient detail in Appendixes A, B, and C.

I am indebted to many students and colleagues for their valuable criticisms and suggestions. In particular I wish to acknowledge several inspiring discussions with Professor S.M. Vogel on the subject of energy principles. I also wish to thank Miss Elizabeth Thompson for her care and cheerfulness in typing and retyping the manuscript.

Finally, I am most grateful to Ann for her patience, and to Amy, Charles, Sarah, Rebecca, and Macy, who have tried to learn the art of being silent.