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Informationen zum Autor Karl-Gunnar Olsson is professor in Architecture and Engineering at the Department of Architecture at Chalmers University of Technology in Gothenburg. His research is mainly aimed at development of concepts and forms for representation of engineering systems in the building design process. This includes the interaction between architects and engineers as well as the dialogue and the digital tools needed in early design phases, and range from architectural conservation to design of new buildings. Central is the formulation of theoretical concepts that support conceptual understanding of mechanical systems, such as the concept of canonical stiffness. Karl-Gunnar Olsson is also responsible for the dual degree, Master of Architecture (MArch) and MSc in Engineering, programme Architecture and Engineering at Chalmers. Ola Dahlblom is professor in Structural Mechanics at Lund University. His main area of research is material mechanics with development of computational models for materials with complex internal structure. Examples of applications are the behaviour of concrete during hardening and the shape change of sawn timber during drying. An important part of this work is the development of computer code for simulation and visualisation of the structural behaviour. He has in recent years also been a driving force behind renewal of literature and development of computer programs for teaching structural mechanics in the Bachelor of Science and Master of Science educations. Klappentext Textbook covers the fundamental theory of structural mechanics and the modelling and analysis of frame and truss structures* Deals with modelling and analysis of trusses and frames using a systematic matrix formulated displacement method with the language and flexibility of the finite element method* Element matrices are established from analytical solutions to the differential equations* Provides a strong toolbox with elements and algorithms for computational modelling and numerical exploration of truss and frame structures* Discusses the concept of stiffness as a qualitative tool to explain structural behaviour* Includes numerous exercises, for some of which the computer software CALFEM is used. In order to support the learning process CALFEM gives the user full overview of the matrices and algorithms used in a finite element analysis Zusammenfassung This textbook in structural mechanics is based on the methodology of the finite element method. The understanding of basic elements of structural mechanics, springs, bars, beams and foundations, is gradually built up in one, two and three dimensions. Inhaltsverzeichnis Preface ix 1 Matrix Algebra 1 1.1 Definitions 1 1.2 Addition and Subtraction 2 1.3 Multiplication 2 1.4 Determinant 3 1.5 Inverse Matrix 3 1.6 Counting Rules 4 1.7 Systems of Equations 4 1.7.1 Systems of Equations with Only Unknown Components in the Vector ¿ 5 1.7.2 Systems of Equations with Known and Unknown Components in the Vector ¿ 6 1.7.3 Eigenvalue Problems 8 Exercises 10 2 Systems of Connected Springs 13 2.1 Spring Relations 16 2.2 Spring Element 16 2.3 Systems of Springs 17 Exercises 30 3 Bars and Trusses 31 3.1 The Differential Equation for Bar Action 33 3.1.1 Definitions 33 3.1.2 The Material Level 35 3.1.3 The Cross-Section Level 38 3.1.4 Bar Action 41 3.2 Bar Element 43 3.2.1 Definitions 43 3.2.2 Solving the Differential Equation 43 3.2.3 From Local to Global Coordinates 51 3.3 Trusses 55 Exercises 66 4 Beams and Frames 71 4.1 The Differential Equation for Beam Action 73 4.1.1 Definitions 73 4.1.2 The Material Level 74 4.1.3 The Cross-Section Level 75 4.1.4 Bea...
