{"product_id":"a-primer-for-finite-elements-in-elastic-structures-isbn-9780471283454","title":"A Primer for Finite Elements in Elastic Structures","description":"A thorough guide to the fundamentals--and how to use them--of finite element analysis for elastic structures\u003cbr\u003e \u003cbr\u003e For elastic structures, the finite element method is an invaluable tool which is used most effectively only when one understands completely each of its facets. A Primer for Finite Elements in Elastic Structures disassembles the entire finite element method for civil engineering students and professionals, detailing its supportive theory and its mathematical and structural underpinnings, in the context of elastic structures and the principle of virtual work.\u003cbr\u003e \u003cbr\u003e The book opens with a discussion of matrix algebra and algebraic equation systems to foster the basic skills required to successfully understand and use the finite element method. Key mathematical concepts outlined here are joined to pertinent concepts from mechanics and structural theory, with the method constructed in terms of one-dimensional truss and framework finite elements. The use of these one-dimensional elements in the early chapters promotes better understanding of the fundamentals. Subsequent chapters describe many two-dimensional structural finite elements in depth, including the geometry, mechanics, transformations, and mapping needed for them.\u003cbr\u003e \u003cbr\u003e Most chapters end with questions and problems which review the text material. Answers for many of these are at the end of the book. An appendix describes how to use MATLAB(r), a popular matrix-manipulation software platform necessary to perform the many matrix operations required for the finite element method, such as matrix addition, multiplication, inversion, partitioning, rearrangement, and assembly. As an added extra, the m-files discussed can be downloaded from the Wiley FTP server.  Finite Element Method Prerequisites.\u003cbr\u003e \u003cbr\u003e The Finite Element Method.\u003cbr\u003e \u003cbr\u003e Element Stiffness Equations by Direct Methods.\u003cbr\u003e \u003cbr\u003e Global Stiffness Equations.\u003cbr\u003e \u003cbr\u003e Element Stiffness Equations by Displaced State Virtual Work Applications.\u003cbr\u003e \u003cbr\u003e General Approach to Element Stiffness Equations.\u003cbr\u003e \u003cbr\u003e Plane Stress and Plane Strain.\u003cbr\u003e \u003cbr\u003e Plane Stress Structural Triangular Finite Elements.\u003cbr\u003e \u003cbr\u003e Isoparametric Plane Stress Structural Quadrilateral Finite Elements.\u003cbr\u003e \u003cbr\u003e Flat Plate Flexural Finite Elements.\u003cbr\u003e \u003cbr\u003e Axisymmetric Structural Finite Elements.\u003cbr\u003e \u003cbr\u003e Structural Finite Elements in Perspective.\u003cbr\u003e \u003cbr\u003e Appendix.\u003cbr\u003e \u003cbr\u003e Answers to Selected Problems.\u003cbr\u003e \u003cbr\u003e Index. \u003cb\u003eW. F. CARROLL\u003c\/b\u003e is Professor Emeritus in the Department of Civil and Environmental Engineering at the University of Central Florida.  A thorough guide to the fundamentals—and how to use them—of finite element analysis for elastic structures  \u003cp\u003eFor elastic structures, the finite element method is an invaluable tool which is used most effectively only when one understands completely each of its facets. A Primer for Finite Elements in Elastic Structures disassembles the entire finite element method for civil engineering students and professionals, detailing its supportive theory and its mathematical and structural underpinnings, in the context of elastic structures and the principle of virtual work.\u003c\/p\u003e \u003cp\u003eThe book opens with a discussion of matrix algebra and algebraic equation systems to foster the basic skills required to successfully understand and use the finite element method. Key mathematical concepts outlined here are joined to pertinent concepts from mechanics and structural theory, with the method constructed in terms of one-dimensional truss and framework finite elements. The use of these one-dimensional elements in the early chapters promotes better understanding of the fundamentals. Subsequent chapters describe many two-dimensional structural finite elements in depth, including the geometry, mechanics, transformations, and mapping needed for them.\u003c\/p\u003e \u003cp\u003eMost chapters end with questions and problems which review the text material. Answers for many of these are at the end of the book. An appendix describes how to use MATLAB(r), a popular matrix-manipulation software platform necessary to perform the many matrix operations required for the finite element method, such as matrix addition, multiplication, inversion, partitioning, rearrangement, and assembly. As an added extra, the m-files discussed can be downloaded from the Wiley FTP server.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988642873573,"sku":"NP9780471283454","price":172.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471283454.jpg?v=1761781089","url":"https:\/\/k12savings.com\/products\/a-primer-for-finite-elements-in-elastic-structures-isbn-9780471283454","provider":"K12savings","version":"1.0","type":"link"}