The Tagliatela College of EngineeringMechanical EngineeringSpring Semester, 2016

Syllabus

Course Schedule: January 21st - May 11 th 2016

Course Number and Name: MECH 6605: Finite Element Methods in Engineering

Prerequisites:MECH 6604 Numerical Techniques in Mechanical Engineering

Lectures: 6:00 – 8:40 PM on Thursdays, Buckman Hall, B010

Instructor: George BauerMobile Phone: 203-558-6994E-mail: Lightning_Ride98@Yahoo.comOffice hours: 5:15 to 6:00 PM on Thursdays and also by WebEx, Telecon, or

appointment.

Text Book:

1. Daryl L. Logan., A First Course in the Finite Element Method, Fifth Edition, Cengage Learning,ISBN: 978-0-495-66825-1

Reference Books:

1. Vince Adams and Abraham Askenazi, “Building Better Products with Finite Element Analysis”, Onward Press, 1999, ISBN1-56690-160X

2. G.R. Buchanan., “Schaum’s Outline Series – Theory and Problems of Finite Element Analysis”., McGraw-Hill, New York, 1995, ISBN: 0-07-006714-8.

3. Bathe, “Finite Element Procedures”, Prentice Hall, 1996, ISBN 0-13-301458-4

Course Description:

Basic concepts underlying the Finite Element Method (FEM). Displacement and weighted residualformulations of the finite element approach to numerical solutions. Applications to one- and two-dimensional problems in areas such as elasticity, heat transfer, and fluid mechanics.

Course Objectives:

The objective of this course is to gain an understanding of the underlying theory basis of the finiteelement method. The objective is also to learn how to apply the method to solve practical physical

problems in engineering related to structural, energy, and fluid systems.

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The specific objectives are as follows:

1. Basic understanding of the finite element method. Development of the stiffness matrix andequations for the linear one-dimensional truss and beam elements.

2. Development of shape functions, stress-strain, and strain-displacement relationships.

3. Development of plane stress and plane strain 2D elements. Isoparametric formulation to developthe element stiffness matrix.

4. Understanding of higher order elements and the importance of their capacity. 3-D solid element,development of shape functions, stiffness matrix, and force matrix.

5. Proficiency in using ANSYS, understanding of capabilities, and limitations of linear staticstructural finite element method.

Course Learning Outcomes:

Upon successful completion of this course, the students will be able to:

1 Develop finite element models of problems using a textbook and theoretical approach. 2 Adapt and apply finite element theoretical solutions to solve practical engineering

problems. 3 Use ANSYS software to build comprehensive 3D finite element models and analysis

successfully.

4 Post-process finite element analysis results and present information for part validation andrational decision making.

Grading:Letter grades will be assigned based on the final numerical score at the end of the term determined using the following distribution.

Homework 25% All grades also will be evaluated through properLab performance & Report 20% mathematics and applied science concepts as wellMid Term Examination 25% as ability to set up and solve problems correctly.Final Examination 30%

Total 100%

Academic Dishonesty Policy:

Cheating and other types of academic dishonesty in this course is not tolerated. Individual occurrences will result in a grade of zero for the homework, project, or examination in question, and may result in an“F” for the course itself. When appropriate, consultation to the department chair and/or dean will be exercised for further disciplinary action.

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Course Content and Schedule

Class Date Chapter(s) Topic/DescriptionNo. Thursday1 January 21 1 Introduction, course outline, matrix notation, steps in FEM

analysis, applications and advantages of the FEM.2 January 28 2 Stiffness/displacement matrix method, spring element

modeling, boundary conditions and energy approach. LABIntro to ANSYS GUI

3 February 4 2 Intro to truss elementsLAB Workshops

4 February 11 3 Solution of a plane truss, potential energy approach, coordinatetransformations, and symmetry. Homework review. LABWorkshops

5 February 18 3,4 Development of stiffness matrix for a bar/beam element, frameand grid problems. LAB Workshops

6 February 25 4,5 Arbitrary beam orientation in 2D space and distributed load.LAB Workshops

7 March 3 5 Planar Beam problems, Grid problemsLAB Workshops

8 March 10 Exam covers Mid-Term ExamChapters 1-5

March 17 Spring Break - No Classes9 March 24 6 Plane triangular element equations, both linear strain and

constant strain, body and surface forces, LAB Workshops10 March 31 6 Plane triangular element development, cont. , LAB Workshops11 April 7 7 FE Modeling and Interpretation, Lab Workshops12 April 14 8 FE solution of plane stress and plane strain problems. LAB

Workshops, LAB Workshops13 April 21 10 Isoparametric formulation of the bar and plane element

stiffness matrix and solution. Concepts of numericalintegration, higher order shape functions.

14 April 28 LAB LAB – Final Project, Report Submittal Required,Miscellaneous Topics

15 May 5 Exam is Final ExaminationComprehensive

Miscellaneous Topics: Heat Transfer in 1-D & 2-D, Thermal Structural Analyses, Dynamics

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Homework:

Homework problems will be assigned for the term and these will be scheduled as the course progresses.

All assigned homework must be submitted on 8 ½ x 11” size paper or electronic methods approved by theinstructor. All work must be your own. The following checklist is strongly recommended while presentingthe solutions in the homework and in the examinations.

1 Sketch of problem and discussion of the problem solving procedure. 2 Equation(s) stated in general form 3 Necessary assumptions stated 4 Substitutions or simultaneous solutions labeled 5 Units converted properly, coordinate system drawn 6 Final answers clearly indicated

Laboratory and Project reports:

The finite element modeling methods and application discussed in the class will be demonstrated throughlaboratory workshops and projects using ANSYS analysis software. All lab workshops performed in classwill have instructions to post results to BlackBoard to receive credit for that lab session. A final lab andproject report describing the objectives, procedures followed, results, and discussion must be submittedfor the last lab exercise.

Examinations:Two examinations will be given during the course of the semester. There will be a mid-term and a finalcomprehensive examination given on the last meeting class of the course.

AttendanceAttendance will be taken at the start of each class. If for some reason there is an illness/personal/business reason for missing class please contact me. University attendance regulations identifies the maximum absence is limited to two (2) classes. Students who miss more than two weeks of classes can be dropped from the course by the instructor. Instructors are not obligated to provide makeup exams so students should be careful not to miss scheduled exams.Class attendance is of paramount importance since a new topic or topics will be presented at each class. Also, problem solving and computer programming work will be performed. When absent from a class session, students are responsible to acquire lecture notes and workshop assignments from their classmatesand/or instructor.