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Download Theory Of Matrix Structural Analysis By J. S. Przemieniecki – In this text the general theory of matrix structural analysis is presented. The following fundamental principles and theorems and their applications to matrix theory are discussed: principles of virtual displacements and virtual forces, Castigliano’s theorems, minimum-strain-energy theorem, minimum-complementary-strain-energy theorem, and the unit-displacement and unit-load theorems. The matrix displacement and force methods of analysis are presented together with the elastic, thermal, and inertial properties of the most commonly used structural elements. Matrix formulation of dynamic analysis of structures, calculation of vibration frequencies and modes, and dynamic response of undamped and damped structural systems are included. Furthermore, structural synthesis, nonlinear effects due to large deflections, inelasticity, creep, and buckling are also discussed.
The examples illustrating the various applications of the theory of matrix structural analysis have been chosen so that a slide rule is sufficient to carry out the numerical calculations. For the benefit of the reader who may be unfamiliar with the matrix algebra, Appendix A discusses the matrix operations and their applications to structural analysis. Appendix B gives an extensive bibliography on matrix methods of structural analysis.
This book originated as lecture notes prepared for a graduate course in Matrix Structural Analysis, taught by the author at the Air Force Institute of Technology and at the Ohio State University. The book is intended for both the graduate student and the structural engineer who wish to study modern methods of structural analysis; it should also be valuable as a reference source for the practicing structural engineer.
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Book Contents
- MATRIX METHODS
- BASIC EQUATIONS OF ELASTICITY
- ENERGY THEOREMS
- STRUCTURAL IDEALIZATION
- STIFFNESS PROPERTIES OF STRUCTURAL ELEMENTS
- THE MATRIX DISPLACEMENT METHOD
- FLEXIBILITY PROPERTIES OF STRUCTURAL ELEMENTS
- THE MATRIX FORCE METHOD
- ANALYSIS OF SUBSTRUCTURES
- DYNAMICS OF ELASTIC SYSTEMS
- INERTIA PROPERTIES OF STRUCTURAL ELEMENTS
- VIBRATIONS OF ELASTIC SYSTEMS
- DYNAMIC RESPONSE OF ELASTIC SYSTEMS
- STRUCTURAL SYNTHESIS
- NONLINEAR STRUCTURAL ANALYSIS
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