A First Course in the Finite Element Method, SI Version

A First Course in the Finite Element Analysis provides a simple, basic approach to the finite element method that can be understood by both undergraduate and graduate students. It does not have the usual prerequisites (such as structural analysis) required by most available texts in this area. 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. This revised fourth edition includes the addition of a large number of new problems (including SI problems), an appendix for mechanical and thermal properties, and more civil applications. INTRODUCTION 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 MODELING : INTERPRETING RESULTS AND EXAMPLES OF PLANE STRESS/STRAIN ANALYSIS DEVELOPMENT OF THE LINEAR-STRAIN TRAINGLE 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 APPENDICES.

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.