The Finite Element Method in Engineering – Singiresu S. Rao – 5th Edition


The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus.

This book discusses a wide range of topics, including discretization of the domain, interpolation models, higher order and isoparametric elements, derivation of element matrices and vectors, assembly of element matrices and vectors and derivation of system equations, numerical solution of finite element equations, basic equations of fluid mechanics, inviscid and irrotational flows, solution of quasi-harmonic equations, and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus, structured problem solving approach in all worked examples, and new discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems. All figures are revised and redrawn for clarity.

This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering.

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  • PART 1: Introduction
    Chapter 1 - Overview of Finite Element Method

    PART 2: Basic Procedure
    Chapter 2 - Discretization of the Domain
    Chapter 3 - Interpolation Models
    Chapter 4 - Higher Order and Isoparametric Elements
    Chapter 5 - Derivation of Element Matrices and Vectors
    Chapter 6 - Assembly of Element Matrices and Vectors and Derivation of System Equations
    Chapter 7 - Numerical Solution of Finite Element Equations

    PART 3: Application to Solid Mechanics Problems
    Chapter 8 - Basic Equations and Solution Procedure
    Chapter 9 - Analysis of Trusses, Beams, and Frames
    Chapter 10 - Analysis of Plates
    Chapter 11 - Analysis of Three-Dimensional Problems
    Chapter 12 - Dynamic Analysis

    PART 4: Application to Heat Transfer Problems
    Chapter 13 - Formulation and Solution Procedure
    Chapter 14 - One-Dimensional Problems
    Chapter 15 - Two-Dimensional Problems
    Chapter 16 - Three-Dimensional Problems

    PART 5: Application to Fluid Mechanics Problems
    Chapter 17 - Basic Equations of Fluid Mechanics
    Chapter 18 - Inviscid and Incompressible Flows
    Chapter 19 - Viscous and Non-Newtonian Flows

    PART 6: Solution and Applications of Quasi-Harmonic Equations
    Chapter 20 - Solution of Quasi-Harmonic Equations

    PART 7: ABAQUS and ANSYS Software and MATLAB® Programs for Finite Element Analysis
    Chapter 21 - Finite Element Analysis Using ABAQUS
    Chapter 22 - Finite Element Analysis Using ANSYS
    Chapter 23 - MATLAB Programs for Finite Element Analysis
  • Citation
    • Full Title: The Finite Element Method in Engineering
    • Author/s:
    • ISBN-13: 9780080952048
    • Edition: 5th Edition
    • Publication date: 2010
    • Topic: Math
    • Subtopic: Numerical Methods
    • File Type: eBook
    • Idioma: English

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