# Structures and Their Analysis

• Maurice Bernard Fuchs
Book

1. Front Matter
Pages i-xxv
2. ### Preliminaries

1. Front Matter
Pages 1-1
2. Maurice Bernard Fuchs
Pages 3-21
3. Maurice Bernard Fuchs
Pages 23-51
4. Maurice Bernard Fuchs
Pages 53-66
5. Maurice Bernard Fuchs
Pages 67-73
6. Maurice Bernard Fuchs
Pages 75-84
7. Maurice Bernard Fuchs
Pages 85-110
3. ### The Structures

1. Front Matter
Pages 111-111
2. Maurice Bernard Fuchs
Pages 113-120
3. Maurice Bernard Fuchs
Pages 121-127
4. Maurice Bernard Fuchs
Pages 129-140
4. ### Flexibility

1. Front Matter
Pages 141-141
2. Maurice Bernard Fuchs
Pages 143-165
3. Maurice Bernard Fuchs
Pages 167-194
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Pages 195-233
5. Maurice Bernard Fuchs
Pages 235-258
5. ### Stiffness

1. Front Matter
Pages 259-259
2. Maurice Bernard Fuchs
Pages 261-271
3. Maurice Bernard Fuchs
Pages 273-298

### Introduction

Addressing structures, this book presents a classic discipline in a modern setting by combining illustrated examples with insights into the solutions. It is the fruit of the author’s many years of teaching the subject and of just as many years of research into the design of optimal structures. Although intended for an advanced level of instruction it has an undergraduate course at its core. Further, the book was written with the advantage of having massive computer power in the background, an aspect which changes the entire approach to many engineering disciplines and in particular to structures. This paradigm shift has dislodged the force (flexibility) method from its former prominence and paved the way for the displacement (stiffness) method, despite the multitude of linear equations it spawns. In this book, however, both methods are taught: the force method offers a perfect vehicle for understanding structural behavior, bearing in mind that it is the displacement method which does the heavy number crunching. As a rule the book keeps things as simple as possible, conveying the basic ideas and refraining from lengthy calculations wherever possible. Further, it endeavors to unify the approach, showing that whatever applies to simple springs is equally valid for intricate frames. In addition to various design considerations, it also addresses several topics relating to optimal structures that will be of interest to students and teachers of structures.

### Keywords

Betti–Maxwell Reciprocal Theorems Displacement Method Virtual Work Applied Strain Equilibrium Force Method Optimal Structures Qualitative Analysis and Preliminary Design

#### Authors and affiliations

• Maurice Bernard Fuchs
• 1
1. 1.School of Mechanical EngineeringTel Aviv UniversityTel AvivIsrael

### Bibliographic information

• DOI https://doi.org/10.1007/978-3-319-31081-7
• Copyright Information Springer International Publishing Switzerland 2016
• Publisher Name Springer, Cham
• eBook Packages Engineering
• Print ISBN 978-3-319-31079-4
• Online ISBN 978-3-319-31081-7