Memorial University of Newfoundland
Faculty of Engineering and Applied Science
Engineering: 7934 & 7706
Finite Element Structural Analysis
Instructor Dr. Seshu Adluri
Office Hours Monday 11:00-11:50 a.m.
Office Hours Friday 1:00-1:50 p.m.
This course is being offered to Mechanical students as ENG 7934 and Civil Students as ENG 7706. Naval students can register following directions given by Naval Chair. For both courses pre-requisites include undergraduate solid mechanics courses. A clear understanding of mechanics in general (including boundary conditions for various applications, material behavior, equilibrium, stress-strain relationships) and concepts of Analysis are also expected. The students need to brush up on the concepts of Matrices, solution of simultaneous equations, basic calculus such as differentiation, integration, simple differential equations, etc. (This is not a completely calculus based course –however, familiarity is necessary). Some of these concepts may be reviewed in class as and when time permits. This course is not a follow up for the applied analysis course ENG 5434.
Finite Element Structural Analysis includes a review of basic concepts required for FEA, basics of stiffness formulation, direct stiffness method, displacement method, one dimensional elements, trusses and frames. Topics include 1-D fluid and heat transfer elements, automated analysis and modelling concepts, higher order elements, two dimensional elements - plane stress and plane strain, introduction to 3D and other types. Introduction to advanced topics and isoparametric formulation.
Rationale & Outline: This course introduces the basic concepts of the finite element method for stress (and structural) analysis. The method is the most powerful analytical tool ever invented for this purpose. It is very versatile and extremely popular. No student can truly hope to become a competent mechanical designer or structural engineer without a clear understanding of this method.
The course introduces the basic concepts involved in finite element formulation such as degrees of freedom, stiffness, compatibility and equilibrium, the use of potential energy, matrix methods, constraints etc. Bars, beams and 2-D plane elements are derived in detail and their use is demonstrated. While the main emphasis of the course is on understanding the concepts and solving problems through manual computation, a general introduction to computer aided analysis is given depending upon the availability of facilities.
Introduction to the use of non-solid elements is given by way of heat transfer and fluid mechanics.
PREREQUISITES: ENGI undergraduate solid mechanics
ENG 6705 & ENG 5312 OR ENG 5931 & ENG 4430
COREQUISITES: A good working knowledge of matrices, calculus, computers, spreadsheets, etc., is required.
SCHEDULE: LECTURE: MWF 12:00-12:50 pm Room: EN2040
TUTORIAL: Some portion of the lab slots may be used for tutorials
Lab: Tues 1:00-2:50 Room: EN3000/3029
CREDIT VALUE: 3 credits
Text book: Logan, D.L., A First Course in the Finite Element Method
REFERENCES: Additional Reading:
Additional references as given during class and as cited in the textbook
Any of the above may be extended with related topics and applications depending upon time and interest.
Expectations: The students taking this course must make use of the knowledge from previous courses in solid mechanics and analysis. At the end of this course, the students are expected to clearly demonstrate a basic understanding of the underlying principles of stiffness method of finite element analysis, formulation different categories of elements, element assembly and manual solutions to matric equations of typical 1-D & 2-D problems.
Assignments (manual) 10% Assignments are due one week from announcement unless otherwise agreed upon.
Assignments (computer) 5% May include computer work and the use of software such as, ANSYS, ABAQUS, PRO-ENGINEER, Spread Sheets, Maple/Mathcad.
Midterm 25% June 16
Final exam 60%
Exam policy: The formula sheet is as per the announcement in the class. All or a subset of the preannounced formula sheet will be provided in the exam. No extra text or notes are permitted in the exam. Electronic storage/retrieval devices are not permitted in the exam. Please see the appropriate guidelines from the University regarding such matters.
Comprehensive examples will be discussed primarily during tutorials. During tutorials, the students may be required to solve the problems in class to gain practice. Tutorials and labs dealing with computer work are compulsory.
Please note that prewritten solutions may or may not be available for the assignments. However, the tutorials are specifically marked for discussing the relevant solutions. At that time, if the students ask for it, the problems can be discussed and may be partially or fully solved in class. If the students do not raise their need for discussion of the problems, the time will be spent on solving other example problems, etc. The same policy holds for midterm exams and quizzes, if any.
The students are expected to solve the assignment problems by themselves in order to reinforce the class instruction. Please refer to copying policy of the University if there is any doubt. Help with the assignment problems can be sought during contact hours and/or tutorial time.
ACADEMIC INTEGRITY AND PROFESSIONAL CONDUCT:
Students are expected to conduct themselves in all aspects of the course at the highest level of academic integrity. Any student found to commit academic misconduct will be dealt with according to the Faculty and University practices. More information is available at www.engr.mun.ca/undergrad/academicintegrity.
Students are encouraged to consult the Faculty of Engineering and Applied Science Student Code of Conduct at http://www.engr.mun.ca/policies/codeofconduct.php and Memorial University’s Code of Student Conduct at http://www.mun.ca/student/home/conduct.php.
INCLUSION AND EQUITY:
Students who require physical or academic accommodations are encouraged to speak privately to the instructor so that appropriate arrangements can be made to ensure your full participation in the course. All conversations will remain confidential.
The university experience is enriched by the diversity of viewpoints, values, and backgrounds that each class participant possesses. In order for this course to encourage as much insightful and comprehensive discussion among class participants as possible, there is an expectation that dialogue will be collegial and respectful across disciplinary, cultural, and personal boundaries.
STUDENT ASSISTANCE: Student Affairs and Services offers help and support in a variety of areas, both academic and personal. More information can be found at www.mun.ca/student.
Note: Assignment 4 has a 30% bonus question