A first course in the finite element method

Offering an approach to the finite element method that can be understood by both undergraduate and graduate students, this book is suitable as a basic learning tool for the undergraduate student in civil and mechanical engineering whose focus is on stress analysis and heat transfer.

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Bibliographic Details
Main Author: Logan, Daryl L.
Other Authors: Chaudhry, K. K, Singh, Prahlad
Format: Book
Language:English
Published: Stamford, CT Cengage Learning 2011.
Edition:4th ed.
Subjects:
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Table of Contents:
  • Introduction [Finite element method]
  • Introduction to the stiffness (displacement) method
  • Development of truss equations
  • Development of beam equations
  • Frame and grid equations
  • Development of the plane stress and plane strain stiffness equations
  • Practical considerations in modeling; interpreting results; and examples of plane stress/strain analysis
  • Development of the linear-strain triangle equations
  • Axisymmetric elements
  • Isoparametric formulation
  • Three-dimensional stress analysis
  • Plate bending element
  • Heat transfer and mass transport
  • Fluid flow
  • Thermal stress
  • Structural dynamics and time-dependent heat transfer
  • Appendix A: Matrix algebra
  • Appendix B: Methods for solution of simultaneous linear equations
  • Appendix D: Equations from elasticity theory
  • Appendix D: Equivalent nodal forces
  • Appendix E: Principle of virtual work
  • Appendix F: Geometric properties of structural steel wide flange sections
  • Answers to selected problems.