Instructor: Professor
T. Krauthammer
221-B Sackett bldg.
Tel.: 865-3102
Textbook: K. J.
Bathe, "Finite Element Procedures in Engineering Analysis," Prentice
Hall, 1996. Additional references will be discussed during the course.
Project: Students
will be required to work on projects to be assigned during the semester.
Exams: One
mid-term, and one final.
Grading
Policy:
Homework: 25%
Projects: 25%
Mid-term: 25%
Final: 25%
Description: See p.
159 of 1998-2000 Graduate Degree Programs Bulletin.
Some differences from that
description should be expected. This course will be modified during the
semester. Students should be prepared for extensive computer work, development
of individual finite element codes, and the use of existing programs.
Prerequisites:
CE 447 or equivalent.
CE
541 - STRUCTURAL ANALYSIS
COURSE
OUTLINE
1. Introduction
to the Finite Element Method.
2. Introduction
to the Theory of Elasticity.
3. Review
of Matrix Structural Analysis.
4. The
Direct Stiffness Method.
4.1. The Bar Element.
4.2. Needs for Optimal Storage and Solution of
Equilibrium Equations.
5. Solutions
of Systems of Linear Equations.
6. General
Formulation by the Direct Stiffness Method.
7. Introduction
to Variational Approaches to the Finite Element Method.
8. More
Variational Approaches.
8.1. Galerkin's Method in Finite Element Analysis.
8.2 Other Variational Methods of Element
Formulation.
9. A
Systematic Approach for the Finite Element Method.
9.1. The Constant Stress Triangle (CST) Element
10. Functional Representation of Element
Behavior and Geometry
11. Higher Order Elements
11.1 The Linear Strain Triangle (LST) Element.
11.2 The Linear Strain Quadrilateral (LSQ) Element.
12. Isoparametric Elements.
12.1 1-D Isoparametric Elements.
12.2 Linear Isoparametric Plane Elements.
13. Axisymmetric Solid Elements.
14. A General Plane Frame Element.
15. Solid Finite Elements.
16. Introduction to Plate Bending
Theory.
17. Plate Bending Elements.
17.1 Quadrilateral 12 DOF Element.
17.2 The Cross-Beam Approach.
17.3 Triangular Plate Elements.
17.4 Isoparametric Plate Elements.
18. Introduction to Thin Elastic Shells.
19. FEM Approaches for Shell Analysis.
20. Dynamic Analysis of Linear Elastic
Structures with FEM.
21. Application of the Finite Element
Method to Civil Engineering Problems.
22. Introduction to Finite Elements for
Fluid Flow and Heat Transfer.
23. An Overview of the Finite Element Method
- Advantages, Limitations, and Other Topics.
24. Computer Programs for Finite Element
Analysis.