An introductory textbook for senior/graduate courses in finite element analysis taught in all engineering departments. Covers the basic concepts of the finite element method and their application to the analysis of plane structures and two-dimensional continuum problems in heat transfer, irrotational fluid flow, and elasticity. This revised edition includes a reorganization of topics and an increase in the number of homework problems. The emphasis on numerical illustrations make topics clear without heavy use of sophisticated mathematics.

PART I. BASIC CONCEPTS.

One-Dimensional Linear Element.
A Finite Element Example.
Element Matrices: Galerkin Formulation.
Two-Dimensional Elements.
Coordinate Systems.

PART II. FIELD PROBLEMS.

Two-Dimensional Field Equation.
Torsion of Noncircular Sections.
Derivative Boundary Conditions: Point Sources and Sinks.
Irrotational Flow.
Heat Transfer by Conduction and Convection.
Acoustical Vibrations.
Axisymmetric Field Problems.
Time-Dependent Field Problems: Theoretical Considerations.
Time-Dependent Field Problems: Practical Considerations.
Computer Program for Two-Dimensional Field Problems.

PART III. STRUCTURAL AND SOLID MECHANICS.

The Axial Force Member.
Element Matrices: Potential Energy Formulations.
The Truss Element.
A Beam Element.
A Plane Frame Element.
Theory of Elasticity.
Two-Dimensional Elasticity.
Axisymmetric Elasticity.
Computer Programs for Structural and Solid Mechanics.

PART IV. LINEAR AND QUADRATIC ELEMENTS.

Element Shape Functions.
Element Matrices.
Isoparametric Computer Programs.

References.
Appendices.