Análise de Estruturas a partir do Princípio dos Trabalhos Virtuais. Volume 1: Método das Forças Simplificado e Método Clássico dos Deslocamentos

Abstract

This book is divided into seven chapters. Chapter 1 reviews the main equations of Strength of Materials, developing notions of balance and kinematic relationships between displacements. The notion of scale analysis is also displayed, namely: infinitesimal, local and global scale. Chapter 2 presents an informal demonstration of the Virtual Work Principle (PTV) and refinements of the analysis: thermal effect, elastic support and prescribed displacements. In chapter 3 real and virtual systems are defined, the Kurt-Bayer Table is presented and orientation conventions are defined. In Chapter 4, everything seen earlier is used to analyze isostatic structures. Chapter 5 builds the Method of Forces from chapter 4. In this sense, chapter 6 shows how to obtain tables for Coefficient of Rigidity and Reactions of Hyperstatic Structures. Tables. With these two tables in hand, the Classic Displacement Method is introduced in chapter 7. Throughout the last four chapters, everything that is seen it has been applied on to structural elements such as: beams, trusses, grids and frames. Numerical examples are presented in the appendix of this book.