CE 425 Introduction To Finite Elements

Credit Structure: (3-0)3

Catalog Description:
Matrix Algebra. Potential energy and Rayleigh-Ritz Method. Element interpolation and local coordinates. Elements based on assumed displacement fields in 1-D. Plane stress analysis. Higher order elements. Computer implementation.

Course Objectives:
To provide graduating students with the rudiments of the Finite Element Method and its structural applications.

Prerequisites:
CE 384

Textbook(s):
Akin, “Finite Element Analysis for Undergraduates”, Academic Press, 1989.

Reference(s):
R.D. Cook, D.S. Malkus and M.E. Plesha, “Concepts and Applications of Finite Element Analysis”, John Wiley, 1989.
T. Wasti and M. Utku, “Finite Elements in Structural Analysis”, METU, 1990.

Syllabus:
1. Introduction
2. Matrix notation and operations
3. Potential energy and the Rayleigh-Ritz method
4. Element interpolation and local coordinates
5. Elements based on assumed displacement fields in 1-D
6. Truss elements and coordinate transformation
7. Plane stress analysis
8. Other applications of finite elements
9. Computer implementation

Homeworks, Quizzes,Projects:
None

Computer Usage:
1. Students are encouraged to solve weekly assignments using personal computers
2. Standard programs for matrix manipulation are employed to solve numerical assignments

Laboratory Work:
None

Category Content:
Mathematics and Basic Sciences: None
Engineering Design: None
Engineering Sciences: 3 credits
Humanities & Social Sciences: None
Departmental: None

Instructors:
Tanvir Wasti