Structures And Their Analysis
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Structures and Their Analysis
Addressing structures, this book presents a classic discipline in a modern setting by combining illustrated examples with insights into the solutions. It is the fruit of the author’s many years of teaching the subject and of just as many years of research into the design of optimal structures. Although intended for an advanced level of instruction it has an undergraduate course at its core. Further, the book was written with the advantage of having massive computer power in the background, an aspect which changes the entire approach to many engineering disciplines and in particular to structures. This paradigm shift has dislodged the force (flexibility) method from its former prominence and paved the way for the displacement (stiffness) method, despite the multitude of linear equations it spawns. In this book, however, both methods are taught: the force method offers a perfect vehicle for understanding structural behavior, bearing in mind that it is the displacement method which does the heavy number crunching. As a rule the book keeps things as simple as possible, conveying the basic ideas and refraining from lengthy calculations wherever possible. Further, it endeavors to unify the approach, showing that whatever applies to simple springs is equally valid for intricate frames. In addition to various design considerations, it also addresses several topics relating to optimal structures that will be of interest to students and teachers of structures.
Understanding Structures
Before structural mechanics became the common language of structural engineers, buildings were built based on observed behavior, with every new solution incurring high levels of risk. Today, the pendulum has swung in the other direction. The web of structural mechanics is so finely woven that it hides the role of experience in design, again leading to high levels of risk. Understanding Structures brings the art and science of structures into the environment of a computer game. The book imparts a basic understanding of how buildings and bridges resist gravity, wind, and earthquake loads. Its interactive presentation of topics spans elementary concepts of force in trusses to bending of beams and the response of multistory, multi-bay frames. Formulate Graphical and Quantitative Solutions with GOYA The companion software, GOYA, runs easily on any java-enabled system. This interactive learning environment allows engineers to obtain quick and instructive graphical and quantitative solutions to many problems in structures. Simulation is critical to the design and construction of safe structures. Using GOYA and the tools within Understanding Structures, engineers can enhance their overall understanding of structure response as well as expedite the process of safe structure design.
Analysis of Structures on Elastic Foundation
This book is devoted to the static and dynamic analysis of structures on elastic foundation. Through comprehensive analysis, the book shows analytical and mechanical relationships among classic and modern methods of solving boundary value problems. The book provides a wide spectrum of applications of modern techniques and methods of calculation of static and dynamic problems of engineering design. It pursues both methodological and practical purposes, and the accounting of all methods is accompanied by solutions of the specific problems, which are not merely illustrative in nature but may represent an independent interest in the study of various technical issues. Two special features of the book are the extensive use of the generalized functions for describing the impacts on structures and the substantiations of the methods of the apparatus of the generalized functions. The book illustrates modern methods for solving boundary-value problems of structural mechanics and soil mechanics based on the application of boundary equations. The book presents the philosophy of boundary equations and boundary element methods. A number of examples of solving different problems of static and dynamic calculation of structures on an elastic foundation are given according to the methods presented in the book. Introduces a general approach to the method of integral transforms based on the spectral theory of the linear differential operators. The Spectral Method of Boundary Element (SMBE) is developed based on using integral transforms with an orthogonal kernel in the extended domain. Presents a new, versatile foundation model with a number of advantages over the ground-based models currently used in practical calculations. Provides new transforms which will aid in solving various problems relevant to bars, beams, plates, and shells in particular for the structures on elastic foundation. Examines the methods of solving boundary-value problems typical for structural mechanics and related fields.