New
Finite Element Modeling in Structural Mechanics,
Edition 1 From Bernoulli Beams to Reddy Plates, with Examples in Excel®, Mathematica®, and MATLAB®Editors: By Eugenio Ruocco
Publication Date:
01 Jan 2027
Conformance
-
PDF/UA-1
-
The publication contains a conformance statement that it meets the EPUB Accessibility 1.1, WCAG 2.1, Level AA standard. Please see https://bornaccessible.benetech.org/certified-publishers/ for further details of our compatibility testing.
-
The publication was certified on 20250625
-
Accessibility addendum
-
The certifier's credential is https://bornaccessible.benetech.org/certified-publishers/
-
For detailed accessibility information, see Elsevier’s website at https://www.elsevier.com/about/accessibility
-
Compatibility tested
-
For queries regarding accessibility information, contact [email protected]
Ways Of Reading
-
This e-publication is accessible to the full extent that the file format and types of content allow, on a specific reading device, by default, without necessarily including any additions such as textual descriptions of images or enhanced navigation.
-
All contents of the digital publication necessary to use and understanding, including any text, images (via alternative descriptions), video (via audio description) is fully accessible via suitable audio reproduction.
Navigation
-
The contents of the PDF have been tagged to permit access by assistive technologies as per PDF-UA-1 standard.
-
Page breaks included from the original print source
Additional Accessibility Information
-
All (or substantially all) textual matter is arranged in a single logical reading order (including text that is visually presented as separate from the main text flow, e.g., in boxouts, captions, tables, footnotes, endnotes, citations, etc.). Non-textual content is also linked from within this logical reading order. (Purely decorative non-text content can be ignored).
-
The language of the text has been specified (e.g., via the HTML or XML lang attribute) to optimise text-to-speech (and other alternative renderings), both at the whole document level and, where appropriate, for individual words, phrases or passages in a different language.
-
For readers with color vision deficiency, use of color (e.g., in diagrams, graphics and charts, in prompts, or on buttons inviting a response) is not the sole means of graphical distinction or of conveying information
-
Content is enhanced with ARIA roles to optimize organization and facilitate navigation
-
Where interactive content is included in the product, controls are provided (e.g., for speed, pause and resume, reset) and labelled to make their use clear.
Note
-
This product relies on 3rd party tooling which may impact the accessibility features visible in inspection copies. All accessibility features mentioned would be present in the purchased version of the title.
Description
Finite Element Modeling in Structural Mechanics provides a systematic and progressive introduction to finite element modeling in structural mechanics. Rather than presenting finite element formulations as a collection of model-specific procedures, the book adopts a unified energy-based approach in which the governing finite element equations are derived consistently from the underlying structural theories.Beginning with the fundamental concepts of discretization, interpolation, and energy principles, the presentation progresses from classical Bernoulli beam theory to Timoshenko and higher-order Reddy beam theories, and subsequently to two-dimensional Kirchhoff, Mindlin, and Reddy plate formulations. This progressive structure allows readers to understand how increasingly refined structural theories translate into finite element models and how their assumptions affect the resulting formulation and numerical response.
The treatment is not limited to simplified elements introduced solely for educational purposes. Alongside fundamental formulations developed step by step, the book presents computationally relevant plate elements widely used in practical finite element analysis, including the Discrete Kirchhoff Triangle (DKT) and the Mixed Interpolation of Tensorial Components four-node element (MITC4). In this way, the reader progresses from the basic principles of finite element construction to formulations representative of those encountered in professional finite element software.
A distinctive feature of the book is the close integration of theory and computation. Step-by-step examples developed in Excel®, Mathematica®, and MATLAB® accompany the theoretical developments, enabling readers to examine the complete implementation process and explore the influence of geometry, material properties, boundary conditions, loading, discretization, and modeling assumptions. Particular attention is also devoted to computational aspects that are essential for developing reliable finite element codes but are often treated only briefly in introductory texts.
Intended for graduate students, PhD candidates, researchers, and practicing engineers, the book provides both the theoretical foundations and the computational tools required not only to use finite element formulations, but also to understand, implement, verify, and extend them for advanced structural analysis.
Key Features
- Deepens theoretical understanding by employing an energetic methodology to derive FEM equations
- Provides a robust and generalizable framework that surpasses traditional static approaches
- Bridges the gap between theory and practice by providing step-by-step guidance on developing FEM codes using accessible tools such as Excel, Mathematica, and MATLAB
- Equips readers with the skills needed to create and adapt their own computational tools for advanced structural analysis
- Includes one-dimensional Bernoulli, Timoshenko, and Reddy beam models and two-dimensional Kirchhoff and Mindlin plate theories
About the author
By Eugenio Ruocco, Associate Professor of Structural Mechanics, University of Campania, Italy
1. Introduction
2. A historical overview of the Finite Element Method
3. Variational formulation of elasticity problems: the bar under axial loads
4. Two- and Three-dimensional Trusses
5. The Bernoulli beam
6. The Timoshenko beam
7. The Reddy beam
8. The Frames
9. The plate under axial loads
10. Kirchhoff, Mindlin, Reddy plates
11. Conclusion
2. A historical overview of the Finite Element Method
3. Variational formulation of elasticity problems: the bar under axial loads
4. Two- and Three-dimensional Trusses
5. The Bernoulli beam
6. The Timoshenko beam
7. The Reddy beam
8. The Frames
9. The plate under axial loads
10. Kirchhoff, Mindlin, Reddy plates
11. Conclusion
ISBN:
9780443456756
Page Count:
300
Retail Price (USD)
:
Advanced undergraduate and master’s-level students, doctoral candidates, and researchers