Numerical Analysis of Reinforced Concrete Structures Book

Introduction. Numerical Methods for Structural Analysis. General aspects. Mathematical models. Physical methods. The finite element method. Basic principles. The finite element method for elastic continua. Displacement functions and convergence criteria. Types of finite elements. Post-elastic analysis by finite elements. Second order analysis by finite elements. Dynamical analysis by finite elements. Probabilistic finite element analysis. The finite strip method. Basic principles. Displacement functions. Development of finite strip matrices. The boundary element method. Basic principles. The general method of weighted residuals. Hybrid numerical methods. The theory of equivalences. Bar Structures. Static analysis of frameworks. Elastic analysis. Post elastic analysis. Stability of bar structures. Elastic analysis. Post elastic analysis. Dynamics. Single degree of freedom systems. Multiple degrees of freedom systems. Modal analysis of dynamic response. Dynamic response of distributed mass systems. Finite element analysis of the dynamic response of distributed mass systems. Numerical examples. Plate Structures. Static analysis of plate structures. The finite element method. The finite strip method. The theory of equivalences. Stability of plate structures. Finite element analysis. Finite strip analysis. Dynamics of plate structures. Classical analysis of plate dynamics. Finite element analysis of plate dynamics. Finite strip analysis of plate dynamics. Dynamic analysis of plate structures using finite element and finite strip models. The theory of equivalences. Thin-Shell Structures. Static analysis of thin shells. Finite element static analysis. Finite strip analysisof shells. Theory of equivalences applied to shell analysis. Stability analysis of thin shells. Dynamics of thin shells. Massive Structures. Statics of massive structures. The finite element method. Theory of equivalences applied to three dimensional analysis. Dynamic analysis of massive structures. Appendix A: Basic Concepts. Variational principles. Matrix algebra. Interpolation and integration. Statistical evaluation of structural characteristics. Appendix B: Characteristic Matrices. The finite element method. Finite strip method. Theory of equivalences. References. Additional references. Author Index. Subject Index.