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Matrix methods of structural analysis /
Matrix Methods of Structural Analysis, 2nd Edition deals with the use of matrix methods as standard tools for solving most non-trivial problems of structural analysis. Emphasis is on skeletal structures and the use of a more general finite element approach. The methods covered have natural links wit...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
1975.
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| Edición: | 2d ed. |
| Colección: | Pergamon international library of science, technology, engineering, and social studies.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Matrix Methods of Structural Analysis; Copyright Page; Table of Contents; Preface to the Second Edition; Chapter 1. INTRODUCTION; 1.1. The value of a systematic approach; 1.2. A structure as an assembly of elements; 1.3. Boundaries and nodes; 1.4. Linearity and superposition; 1.5. How analytical methods are built up; Chapter 2. THE MAIN VARIABLES AND RELATIONSHIPS; 2.1. Nodal variables-loads and displacements; 2.2. Element variables-stress-resultants and deformations; 2.3. Equilibrium and compatibility conditions: virtual work; 2.4. Coordinate transformations.
- Chapter 3. THE ELASTIC PROPERTIES OF SINGLE ELEMENTS3.1. Stress-resultant and deformation vectors for a general plane member; 3.2. The straight uniform beam: two-dimensional analysis; 3.3. The straight uniform beam: three-dimensional analysis; 3.4. Straight uniform members with pinned ends; 3.5. Straight uniform members in plane grillages; 3.6. Curved and non-uniform plane members; 3.7. Segmented members; 3.8. The effect of joints of finite size; 3.9. Flexible joint connections; 3.10. The calculation of equivalent joint loads; 3.11. The replacement of distributed mass.
- Chapter 4. THE ELASTIC PROPERTIES OF SINGLE ELEMENTS4.1. The basic equations of plane stress; 4.2. The simple triangular element; 4.3. The simple rectangular element; 4.4. Body forces and initial strains; 4.5. Transformation of axes; 4.6. The replacement of distributed mass; 4.7. More complex elements; Chapter 5. THE EQUILIBRIUM OR DISPLACEMENT METHOD; 5.1. The analysis of a plane pin-jointed truss; 5.2. The analysis of a plane rigid-jointed truss; 5.3. The assembly of the stiffness matrix of a structure; 5.4. Settlement and partial restraint; 5.5. Dynamic problems.
- Chapter 6. THE EQUILIBRIUM EQUATIONS OF A COMPLETE STRUCTURE6.1. Setting up the equilibrium equations; 6.2. An alternative form of the equilibrium method; 6.3. The analysis of determinate structures; 6.4. Determinate structures with rigid joints: tree structures; Chapter 7. PLASTIC ANALYSIS AND DESIGN; 7.1. Ideal rigid-plastic behaviour; 7.2. Setting up the equilibrium equations; 7.3. Plastic collapse under proportional loading; 7.4. Duality and the mechanism approach; 7.5. The shakedown problem; 7.6. Minimum-weight design for single and multiple loadings.
- 7.7. A compact procedure for finding the collapse load factorChapter 8. THE COMPATIBILITY OR FORCE METHOD; 8.1. The analysis of a pin-jointed truss; 8.2. The analysis of a rigid-jointed frame; 8.3. Applications to more complex skeletal structures; 8.4. Axial forces in rigid-jointed frames; 8.5. An algebraic procedure for transforming the equilibrium equations; Chapter 9. TRANSFER MATRICES; 9.1. Transfer matrices for single structural elements; 9.2. An example of the use of transfer matrices; 9.3. A problem involving intermediate supports.