Elements of the Theory of Structures

by Jacques Heyman

• ISBN13: 9780521550659
• ISBN10: 0521550653
• Format: Hardcover
• Copyright: 1996-06-13
• Publisher: Cambridge University Press

Summary

A good grasp of the theory of structures - the theoretical basis by which the strength, stiffness and stability of a building can be understood - is fundamental to structural engineers and architects. Yet most modern structural analysis and design is carried out by computer, with the user isolated from the processes in action. This book provides a broad introduction to the mathematics behind a range of structural processes. The basic structural equations have been known for at least 150 years, but modern plastic theory has opened up a fundamentally new way of advancing structural theory. Paradoxically, the powerful plastic theorems can be used to examine 'classic' elastic design activity, and strong mathematical relationships exist between these two approaches. Some of the techniques used in this book may be familiar to the reader, and some may not, but each of the topics examined will give the structural engineer valuable insight into the basis of the subject. This lucid volume provides a valuable read for structural engineers and others who wish to deepen their knowledge of the structural analysis and design of buildings.

Table of Contents

Preface

1. The theory of structures

2. Virtual work

3. Betti, Maxwell, Mü

ller-Breslau, Melchers

4. Jettied construction

5. Clebsch, Macaulay, Wittrick, Lowe

6. Elastica

7. Mechanisms of collapse

8. The absolute minimum-weight design of frames

9. Inverse design of grillages

10. The relation between incremental and static plastic collapse

11. The bending of a beam of trapezoidal cross-section

12. The simple plastic bending of beams

13. Leaning walls, domes and fan vaults, the error function

Bibliography

Index.