7/28/2019 M533SYLFall2010v4

1/3

MAE 533

FINITE ELEMENT ANALYSIS I

Fall 2010

Instructor: Dr. John S. Strenkowski (Office: 4166 EBIII)

Telephone: (919) 515-7030 (513-7901)

Email: jsstren@ncsu.edu

Course Description: This course will provide a general preparation in finite element methodswith an emphasis on structural analysis. The course is intended for graduate engineering,science, and mathematics students who will pursue further work and research in specializedareas such as structural mechanics, elasticity, plasticity, fracture mechanics, mechanicaldesign, heat transfer, and numerical analysis.

Date Lecture No. Topic Reading

8/19 1 Introduction; historical review;

sample applications

1.1-1.6

8/24 2 Bar element (direct formulation);

multiple elements; matrix algebra

review

2.1-2.2

Appendix A

8/26 3 Bar elements of arbitrary

orientation; assembly of elements;

properties of stiffness matrices,

solving FE equations (Gaussian

Elimination); mechanical & thermal

loads

2.5-2.10,

2.12

8/31 4 Solid mechanics review 3.1

9/2-9/7 5-6 Potential energy; Rayleigh-Ritz

method; FE form of the RR method

4.1-4.9

9/9-9/16 7-9 Bar elements; beam elements; frame

elements

2.4, 3.3

9/21 10 Intro to ANSYS Handout

9/23-

9/28

11-12 Constant strain triangles; higher

order elements

3.4-3.9

6.1, 7.1-7.3

9/30 TEST #1

7/28/2019 M533SYLFall2010v4

2/3

10/5 13 Nodal loads; Stress calculations 3.11-3.15

10/7 Fall Break - No Class

10/12 14 Pre/Post Processing

ANSYS (2-D)

Handout

10/14-

10/19

15-16 Axisymmetric solids; 3-D elements 14.1-14.4

10/21-

10/28

17-19 Isoparametric elements; numerical

integration

6.1-6.6

7.3, 7.4

11/2 20 Galerkin's method 5.1-5.3

11/4-

11/9

21-22 Modeling considerations; error

estimation

10.1-10.18

9.1,9.2,9.6,9.

9

11/11 TEST #2

11/16-

11/18

23-24 Skewed boundary conditions;

dissimilar materials; fracture

mechanics

8.4-8.7

11/23 25 Structural dynamics 11.1-11.4

11/25 Thanksgiving Break - No Class

11/30 26 Structural dynamics 11.1-11.4

12/2 27 Column buckling 18.1-18.2

18.4,18.5

GRADING: Tests (2) . . . . . . . . . . . . . . 30%

Final Exam . . . . . . . . . . 35%

Homework . . . . . . . . . . . . . 20%

Project . . . . . . . . . . . . . . . . . 15%

Total 100%

Text: Concepts and Applications of Finite Element Analysis (4th Edition) by

Robert D. Cook; David S Malkus; Michael E. Plesha; Robert J. Witt,

ISBN 978-0-471-35605-9

Supplementary text: Introduction to Finite Elements in Engineering by T.R.

Chandrupatla & A.D. Belegundu, Prentice Hall, 2nd Ed,

1997.

7/28/2019 M533SYLFall2010v4

3/3

On-line Course Communication: The best way to reach me is via email. Be

sure to put the course number (MAE 533) in the subject heading so that I will

know that your message is about MAE 533. If you need to discuss something

with me by telephone, please email me so that we can arrange a convenient

time for a phone call. I will attempt to respond to all email within 24 hours.I do not ordinarily check my email on weekends. If I receive several emails

from students addressing the same concern/question, then I will send a global

email response to all course participants.

Semester Project: A semester project is required that involves the

application of finite element analysis of a mechanical component. The project

requires the use of finite element software, such as ANSYS. The specific

project is left open to the student. Typically, good projects are derived from

design problems that you may be familiar with in your job assignment.

Project is due on the last day of classes.

Audit Credit: To receive audit credit for this course, the student must submit

an acceptable course project.