Matrix Methods Of Structural Analysis: Theory And Problems

Designed as a textbook for the undergraduate students of civil engineering and postgraduate students of structural engineering, this comprehensive book presents the fundamental aspects of matrix analysis of structures. The basic features of Matrix Structural Analysis along with its intricacies in application to actual problems backed up by numerical examples, form the main objective of writing this book.

The text begins with the chapters on basics of matrices and structural systems. After providing the foundation for matrix structural representation, the text moves onto dimensional and behavioral aspects of structural systems to classify into pin-jointed systems, then onto beams and finally three-dimensional rigid jointed systems. The text concludes with a chapter on special techniques in using matrices for structural analysis. Besides, MATLAB codes are given at the end to illustrate interfacing with standard computing tool. A large number of numerical examples are given in each chapter which will reinforce the understanding of the subject matter.

Foreword Preface

1. Basic Concepts

2. Determinants and Matrices

3. Flexibility and Stiffness Characteristics of Structures

4. Transformation Matrices

5. Concepts in Matrix Methods of Analysis

6. Analysis of Pin Jointed Frames

7. Analysis of Continuous Beams

8. Analysis of Rigid Jointed Frames

9. Special Topics and Techniques

Appendix A: Slope and Deflection

Appendix B: Fixed End Moments

Appendix C: Sample MATLAB Code for Flexibility Method

Appendix D: Sample MATLAB Code for Stiffness Method

Index