| Texts: | Cook, R. D., Malkus, D. S., and Plesha, M. E. (1989). Concepts and
applications of finite element analysis, 3rd edition, Wiley, New
York. |
| References: | Zienkiewicz, O. C., and Taylor, Taylor, R. L. (1989). The finite element method, 4th edition, McGraw-Hill, New York. |
| Prerequisite: | Matrix analysis of structures (CE 400 or equivalent) desirable. |
| Instructor: | Ron Harichandran.
3546 Engineering Building. Phone: 355-5107. E-Mail: harichan@cee.msu.edu |
| Office Hours: | Monday and Wednesday - 3:00 to 3:50 p.m., or by appointment. |
You will learn to analyze structural systems encountered in civil infrastructure (structures, pavements, materials, geotechnical) applications. More specifically, you will:
Most of the course deals with application of the finite element method to problems in the infrastructure area. Some time will also be devoted to other useful methods in stress analysis. This course is essential for understanding the assumptions, limitations and pitfalls of the finite element method. It provides the fundamental concepts required to intelligently use finite element based computer programs for infrastructure applications.
Your performance in the course will be evaluated based on the following components::
Homework, exams and individual term projects must be done independently. You may consult others regarding homework and term projects, but must complete the work by yourself. Consultations are not permitted for exams. Evidence of cheating will result in a score of zero for all those involved.
Two measures are used to assign final grades. The first is your overall raw percentage score which measures your absolute performance, and the second is an overall standardized T-score which measures your relative performance in the class. T-scores are calculated for each exam and homework using
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and the overall T-score is computed by weighting each individual T-score by the percentage weight for each exam and homework. For any given exam or homework, the class average translates to a T-score of 50.
You are assigned the more favorable grade based on these two measures using the cut-off scores shown in Table 1, with Gm denoting the grade assigned to the class average. The value of Gm is adjusted to reflect the class composition (e.g., a class of good students vs. a class of poor students), and the level of difficulty of exams. Typically, in a class of good students with a raw class average of about 80%, Gm = 3.0.

The T-score more fairly accounts for somewhat erratic performances.
A student who does poorly in one exam but makes up for it by performing
progressively better in the other exams would receive a more favorable
grade based on the T-scores than on the raw scores. For example, consider
the data in Table 2 in which all scores are out of 100. Student A did very
poorly in the first exam, scored slightly above average in the second exam,
and well above average in the third exam. Student B on the other hand,
scored slightly above average in the first two exams, but below average
in the third exam. Based on the raw scores, Student A would receive a grade
of 2.0 while Student B would receive a 2.5. However, based on the T-scores,
with Gm = 3.0, both students would receive a grade of
2.5. In fact, based on the T-scores, Student A's overall performance would
be judged to be a little better than Student B's.
Topic |
References in Text Book |
|---|---|
| Review of elementary matrix theory | Appendix A |
| Overview of the finite element method, strain-displacement relations and stress-strain relations | Chapter 1 |
| Stress-strain relations for pavement and geotechnical problems | Handout |
| Illustration of the stiffness method using a plane truss, storage and solution techniques | Chapter 2 |
| Principle of stationary potential energy, the Rayleigh-Ritz method and interpolation | Chapter 3 |
| Displacement-based finite elements | Chapter 4 |
| Triangular finite elements | Chapter 5 |
| Isoparametric elements | Chapter 6 |
| Axisymmetric problems | Chapter 10 |
| Bending of flat plates | Chapter 11 |
| Elastic layer solutions | Handout |