Plastic Design of Frames 2





PLASTIC DESIGN OF

FRAMES

JACQUES HEYMAN

Reader in Engineering

University of Cambridge

2. APPLICATIONS

UCAMBRIDGE

::: - UNIVERSITY PRESS



PREFACE

The first volume of Sir John Baker's The Steel Skeleton was published

in. 1954; volume 2 (Plastic behaviour and design), with joint authorship,

was published in

1956. The two volumes give an account of the develop-

ment of steelwork design, the first covering the period up to 1936, when

the Recommendations of the Steel Structures Research Committee were

made, and the second taking the story forward to

1954. The books are

thus compounded of the history of structural design, of accounts of the

important research results, and of the relevant technical advances in the

theory of structures.

As soon as volume 2 of The Steel Skeleton had been completed, we

wished to construct a more orthodox textbook on plastic theory; in the event, volume

1 (Fundamentals), of Plastic Design of Frames was not published until

1969, again with joint authorship. The present volume

completes the original plan, and covers some topics which were not treated in volume

2 of The Steel Skeleton.

The first three chapters deal with the notion of the yield surface in

the theory of plasticity; the ideas are developed simply and with

reference to the frame rather than the continuum, and are applied to

reinforced concrete and masonry in chapter 4. The remaining six

chapters of the book return to the problem of the plane steel building

frame. In chapter 5 is treated the question of elastic-plastic analysis, and

in particular the calculation of deflexions. Chapter 6 deals with shake-

down, and chapter 7 with minimum-weight design; in both these topics,

some advances have been made since the corresponding chapters in

The Steel Skeleton were written.

Examples are given at the ends of each of the first seven chapters;

as in vol. 1, these are roughly graded from easy to difficult.

Chapter 8 discusses methods of numerical analysis, not from the point of view

of the construction of detailed programs, but in a way

which exposes the analytical skeleton of plastic methods of design.

Finally, chapter 9 discusses some of the problems facing the designer of

multi-storey buildings, and chapter

10 uses many of the techniques

presented in both volumes for the solution of a practical design problem.


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