Lecture Notes on Numerical Methods in Engineering and Sciences

Structural Analysis with the Finite Element Method. Linear Statics

Volume 1: Basis and Solids

Authors: Oñate, Eugenio

  • A clear description of theoretical and computational aspects of the FEM for structural analysis
  • link to a web page with multimedia presentations of the chapter
  • many examples and exercises solved with computer programs
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eBook $79.99
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  • ISBN 978-90-481-7971-8
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About this Textbook

STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD

Linear Statics

Volume 1 : The Basis and Solids

Eugenio Oñate

The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years.

Volume1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems. The book includes a chapter on miscellaneous topics such as treatment of inclined supports, elastic foundations, stress smoothing, error estimation and adaptive mesh refinement techniques, among others. The text concludes with a chapter on the mesh generation and visualization of FEM results.

The book will be useful for students approaching the finite element analysis of structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.

 

 

 

STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD

Linear Statics

Volume 2: Beams, Plates and Shells

Eugenio Oñate

The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years.

Volume 2 presents a detailed description of the finite element formulation for analysis of slender and thick beams, thin and thick plates, folded plate structures, axisymmetric shells, general curved shells, prismatic structures and three dimensional beams. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems Emphasis is put on the treatment of structures with layered composite materials.

The book will be useful for students approaching the finite element analysis of beam, plate and shell structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.

Reviews

From the reviews: “This work, which emphasizes FEA fundamentals and its application in linear structural problems, is the exact book for this audience. … The concise summary presented in the ‘concluding remarks’ section in each chapter is very helpful and valuable. … Summing Up: Highly recommended. Academic, two-year technical, and professional readers, all levels.” (X. Le, Choice, Vol. 47 (8), April, 2010) “This two-volume book presents the results of the author’s experience in teaching and research on the finite element method (FEM). The content of the book develops the theory and practical implementation of the FEM for application to linear structural problems. In the first volume, the FEM is described to solve linear elastic problems for solids. … The style of presentation allows the reader to fully comprehend the fundamental steps in a finite element solution process.” (Ján Sládek, Zentralblatt MATH, Vol. 1168, 2009)

Table of contents (11 chapters)

  • Introduction to the Finite Element Method for Structural Analysis

    Pages 1-42

  • 1D Finite Elements for Axially Loaded Rods

    Pages 43-76

  • Advanced Rod Elements and Requirements for the Numerical Solution

    Pages 77-116

  • 2D Solids. Linear Triangular and Rectangular Elements

    Pages 117-157

  • Higher Order 2D Solid Elements. Shape Functions and Analytical Computation of Integrals

    Pages 158-186

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-1-4020-8733-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4020-8732-5
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $109.00
price for USA
  • ISBN 978-90-481-7971-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Structural Analysis with the Finite Element Method. Linear Statics
Book Subtitle
Volume 1: Basis and Solids
Authors
Series Title
Lecture Notes on Numerical Methods in Engineering and Sciences
Copyright
2009
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
Distribution Rights
Distribution rights for India: CBS Publishers, New Delhi, India
eBook ISBN
978-1-4020-8733-2
DOI
10.1007/978-1-4020-8733-2
Hardcover ISBN
978-1-4020-8732-5
Softcover ISBN
978-90-481-7971-8
Series ISSN
1877-7341
Edition Number
1
Number of Pages
IV, 446
Additional Information
Jointly published with CIMNE, Barcelona, Spain
Topics