Analysis of Structural Member Systems




Preface

With the development over the past decade of computer-based analysis

methods, the teaching of structural analysis subjects has been revolutionized.

The traditional division between structural analysis and structural mechanics

became no longer necessary, and instead of teaching a preponderance of solu-

tion details it is now possible to focus on the underlying theory.

What has been done here is to integrate analysis and mechanics in a systematic

presentation which includes the mechanics of a member, the matrix

formulation of the equations for a system of members, and solution techniques.

The three fundamental steps in formulating a problem in solid mechanics—.

enforcing equilibrium, relating deformations and displacements, and relating

forces and deformations—form the basis of the development, and the central

theme is to establish the equations for each step and then discuss how the com-

plete set of equations is solved. In this way, a reader obtains a more unified

view of a problem, sees more clearly where the various simplifying assumptions

are introduced, and is better prepared to extend the theory.

The chapters of Part I contain the relevant topics for an essential back-

ground in linear algebra, differential and matrix transformations.

Collecting this material in the first part of the book is convenient for the con-

tinuity of the mathematics presentation as well as for the continuity in the

following development.


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