A First Course in the Finite Element Method

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  • Edition: 5th
  • Format: Hardcover
  • Copyright: 2011-01-01
  • Publisher: Cengage Learning
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A FIRST COURSE IN THE FINITE ELEMENT METHOD provides a simple, basic approach to the course material that can be understood by both undergraduate and graduate students without the usual prerequisites (i.e. structural analysis). The book is written primarily as a basic learning tool for the undergraduate student in civil and mechanical engineering whose main interest is in stress analysis and heat transfer. The text is geared toward those who want to apply the finite element method as a tool to solve practical physical problems.

Table of Contents

Introduction to the stiffness (displacement) method
Development of truss equations
Development of beam equations
Frame and grid equations
Development of the plane stress and strain stiffness equations
Practical considerations in modelling: 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 in porous media and through hydraulic networks; and electrical networks and electrostatics
Thermal stress
Structural dynamics and time-dependent heat transfer
Matrix algebra
Methods for solution of simultaneous linear equations
Equations for elasticity theory
Equivalent nodal forces
Principle of virtual work
Properties of structural steel and aluminum shapes
Answers to Selected problems
Table of Contents provided by Publisher. All Rights Reserved.

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