Matrix Structural Analysis

A rigorous, concise development of the concepts of modern matrix structural analysis, with particular emphasis on the techniques and methods that form the basis of the finite element method. All relevant concepts are presented in the context of two-dimensional (planar) structures composed of bar (truss) and beam (frame) elements, together with simple discrete axial, shear and moment resisting spring elements. The book requires only some basic knowledge of matrix algebra and fundamentals of strength of materials. Basic Concepts.

Statistically Determinate Trusses.

Statistically Determinate Frames.

Virtual Work.

Introduction to Analysis of Indeterminate Structures: Force Method.

Symmetry.

Influence Lines.

Introduction to the Displacement Method.

Displacement Method: Advanced Formulation.

Energy Concepts and Approximations.

Introduction to Finite Element Analysis.

Appendices.

Index.

Lewis P. Felton and Richard B. Nelson are the authors of Matrix Structural Analysis, published by Wiley.