ENGG*4470 Finite Element Analysis
ENGG*4470 Finite Element AnalysisFall 2019Section(s): C01School of EngineeringCredit Weight: 0.50Version 1.00 - September 04, 20191 Course Details1.1 Calendar DescriptionThe theory of finite element analysis is presented including element derivation and solutionprocedures. Students use a finite element package to solve problems based on static anddynamic applications in mechanical systems. Examples are chosen from classical machinesas well as biological systems.Pre-Requisites:ENGG*2160, MATH*2130, MATH*22701.2 TimetableLectures:DayTimeLocationTuesday7:00pm - 9:50pmMACN 113Labs:DayTimeLocationSection(s)Friday10:30am 12:20pmTHRN 231301Monday12:30pm 2:20pmTHRN 231302Wednesday12:30pm 2:20pmTHRN 231303
ENGG*4470 C01 F19 v1.001.3 Final ExamThursday, December 12, 7:00pm - 9:00pmRoom TBA2 Instructional Support2.1 Instructional Support TeamInstructor:Email:Telephone:Office:Office Hours:Alexander Bardelcikabardelc@uoguelph.ca 1-519-824-4120 x53228THRN 2501Tuesday 4:00pm - 5:00pm2.2 Teaching AssistantsTeaching Assistant:Email:Office:Office Hours:Mohamed Elhamahmymalhamah@uoguelph.caTHRN 2129 - Office Hour LocationTBDTeaching Assistant:Email:Office:Office Hours:Claire Bourquecbourque@uoguelph.caTHRN 2129 - Office Hour LocationTBD2.3 Lab TechnicianSOE IT Help (soeithelp@uoguelph.ca) Phone: Ex. 541133 Learning Resources3.1 Required ResourcesCourse Website (Website)http://courselink.uoguelph.caCourse material, news, announcements, and grades will be regularly posted to theENGG*4470 CourseLink site. You are responsible for checking the site regularly.Kim, Sankar and Kumar, Introduction to Finite Element Analysis and Design, 2nd Ed., Wiley,2018 (Textbook)3.2 Recommended ResourcesPage 2 of 11
ENGG*4470 C01 F19 v1.00Reddy, J.N, An Introduction to the Finite Element Method, 2nd Edition, New York ; MontrealMcgraw-Hill, 1984. (Textbook)3.3 Additional ResourcesLecture Information: (Other)The lecture powerpoint slides will be posted on the course website (CourseLink)throughout the semester. You will be granted access to the website when you register forthe course.Miscellaneous Information: (Other)Lectures are the main source of material which includes important discussions and workedexamples that might not be found elsewhere. Other information related to this course willalso be posted on CourseLink.PDF Handouts (Notes)A set of PDF worksheet handouts (for long derivations/examples) will be posted onCourselink. You are responsible to print these work sheets (full Letter size, 8.5'X11") andbring them to lectures as we will be filling them out together throughout the semester.Assignments: (Other)The assignments will be posted on CourseLink. All the solutions will be posted asindicated.4 Learning OutcomesThis course aims at: (1) equipping the students with an understanding of theory and practiceof the finite element method, (2) developing the ability to analyze and design using acommercial FEA software package.4.1 Course Learning OutcomesBy the end of this course, you should be able to:1. Utilize approximate numerical methods in solving structural problems such as the Ritzand the Galerkin methods.2. Derivation of expressions describing the stiffness matrices and equivalent nodal loadvectors for simple linear truss, beam and plane finite elements.3. Apply principles of the isoparametric element formulation.4. Use a commercial finite element software package (ANSYS) to solve engineeringproblems in solid mechanics.5. Assess the accuracy and reliability of finite element solutions and troubleshoot problemsarising from errors in a given finite element analysis.6. Develop finite element formulations of engineering problems from a variety of applicationareas.7. Demonstrate their ability to communicate their analysis and design ideas throughPage 3 of 11
ENGG*4470 C01 F19 v1.00technical reporting and presentation.4.2 Engineers Canada - Graduate Attributes (2018)Successfully completing this course will contribute to the following:#OutcomeLearningOutcome1Knowledge Base1, 2, 31.1 Recall, describe and apply fundamental mathematical principles and1, 2, 3concepts1.3 Recall, describe and apply fundamental engineering principles and3concepts1.4 Recall, describe and apply program-specific engineering principles and1, 2concepts5Use of Engineering Tools4, 55.2 Demonstrate proficiency in the application of selected engineering tools45.3 Recognize limitations of selected engineering tools567Individual & Teamwork6.3 Execute and adapt individual role to promote team success through, for7example, timeliness, respect, positive attitude5 Teaching and Learning Activities5.1 LectureTopics:Mathematical PreliminariesReferences:AppendixTopics:Direct Method - Springs, Bars and Truss ElementsReferences:Chapter 1Page 4 of 11
ENGG*4470 C01 F19 v1.00Topics:Weighted Residual Methods for One-DimensionalProblemsReferences:Chapter 2Topics:Finite Element Analysis of Beams and FramesReferences:Chapter 3Topics:Review of Solid MechanicsReferences:Chapter 5Topics:Finite Elements for Two-Dimensional Solid MechanicsReferences:Chapter 6Topics:Isoparametric Finite ElementsReferences:Chapter 7Topics:Finite Element Procedure and ModelingReferences:Chapter 95.2 LabTue, Sep 3 - Fri, Sep 6Topics:No LabsMon, Sep 9 - Fri, Sep 13Topics:No LabsMon, Sep 16 - Fri, Sep 20Topics:Lab 1 - MATLAB Introduction Assignment 0 (usingMATLAB)Page 5 of 11
ENGG*4470 C01 F19 v1.00Mon, Sep 23 - Fri, Sep 27Topics:Lab 2 - Assignment 1Mon, Sep 30 - Fri, Oct 4Topics:Lab 3 - Assignment 2Mon, Oct 7 - Fri, Oct 11Topics:Lab 4 - ANSYS Workbench Introduction IMon, Oct 14 - Fri, Oct 18Topics:No LabsMon, Oct 21 - Fri, Oct 25Topics:Lab 5 - ANSYS Workbench Introduction IIMon, Oct 28 - Fri, Nov 1Topics:Lab 6 - Assignment 3Mon, Nov 4 - Fri, Nov 8Topics:Lab 7 - Assignment 4Mon, Nov 11 - Fri, Nov 15Topics:Lab 8 - Assignment 5Mon, Nov 18 - Fri, Nov 22Topics:Lab 9 - ANSYS Project Help5.3 Important DatesTuesday, September 5: First day of classesMonday, October 14: Thanksgiving Holiday (no classes)Tuesday, October 15: Fall Study Break, classes rescheduled to Thursday, November 28Wednesday, November 27: last day of classThursday, December 12: Final exam for this coursePage 6 of 11
ENGG*4470 C01 F19 v1.006 Assessments6.1 Marking Schemes & DistributionsNameScheme A (%)6 unmarked assignments0Project30Midterm Exam (1 & 2)30Final Exam40Total1006.2 Assessment Details6 unmarked assignments (0%)Learning Outcome: 4Project (30%)Learning Outcome: 4, 7Midterm Exam (30%)Date: Tue, Oct 8, MACN 113Learning Outcome: 1, 2Regular lecture timeFinal Exam (40%)Date: Thu, Dec 12, TBDLearning Outcome: 1, 2, 37 Course Statements7.1 Communication and Email PolicyPlease use lectures and tutorials as your main opportunity to ask questions about the course.Electronic communication should be limited to the course forum, however topics of apersonal and confidential nature (e.g. marks) should be emailed to the instructor:abardelc@uoguelph.ca . Please note that all email communication must be made throughyour University of Guelph email account.7.2 Academic ConsiderationIf you are unable to meet an in-course requirement due to medical, psychological, orcompassionate reasons, please email the course instructor. See the undergraduate calendarfor information on regulations and procedures for Academic endars/undergraduate/current/c08/c08-ac.shtmlPage 7 of 11
ENGG*4470 C01 F19 v1.007.3 Accommodation of Religious ObligationsIf you are unable to meet an in-course requirement due to religious obligations, please emailthe course instructor within two weeks of the start of the semester to make alternatearrangements. See the undergraduate calendar for information on regulations andprocedures for Academic Consideration of Religious 7.4 Passing GradeThe exams account for 70% of the total mark of the course. The project portion accounts for30% of the total mark of the course. In order to pass the course, you must meet the followingtwo criteria: Score 35% or higher out of the 70% allocated to the exam portion of the course. Score 15% or higher out of the 30% allocated to the project portion of thecourse.If your final combined grade (Exams and Project) is greater than 50% and you fail to meeteither of the two criteria, a final course grade of 49% will be assigned.8 School of Engineering Statements8.1 Instructor's Role and Responsibility to StudentsThe instructor’s role is to develop and deliver course material in ways that facilitate learningfor a variety of students. Selected lecture notes will be made available to students onCourselink but these are not intended to be stand-alone course notes. Some written lecturenotes will be presented only in class. During lectures, the instructor will expand and explainthe content of notes and provide example problems that supplement posted notes.Scheduled classes will be the principal venue to provide information and feedback for testsand labs.8.2 Students' Learning ResponsibilitiesStudents are expected to take advantage of the learning opportunities provided duringlectures and lab sessions. Students, especially those having difficulty with the course content,should also make use of other resources recommended by the instructor. Students who do(or may) fall behind due to illness, work, or extra-curricular activities are advised to keep theinstructor informed. This will allow the instructor to recommend extra resources in a timelymanner and/or provide consideration if appropriate.8.3 Lab SafetySafety is critically important to the School and is the responsibility of all members of theSchool: faculty, staff and students. As a student in a lab course you are responsible for takingPage 8 of 11
ENGG*4470 C01 F19 v1.00all reasonable safety precautions and following the lab safety rules specific to the lab you areworking in. In addition, you are responsible for reporting all safety issues to the laboratorysupervisor, GTA or faculty responsible.9 University Statements9.1 Email CommunicationAs per university regulations, all students are required to check their e-mail account regularly:e-mail is the official route of communication between the University and its students.9.2 When You Cannot Meet a Course RequirementWhen you find yourself unable to meet an in-course requirement because of illness orcompassionate reasons please advise the course instructor (or designated person, such as ateaching assistant) in writing, with your name, id#, and e-mail contact. The grounds forAcademic Consideration are detailed in the Undergraduate and Graduate Calendars.Undergraduate Calendar - Academic Consideration and /undergraduate/current/c08/c08-ac.shtmlGraduate Calendar - Grounds for Academic e Diploma Calendar - Academic Consideration, Appeals and rs/diploma/current/index.shtml9.3 Drop DateStudents will have until the last day of classes to drop courses without academic penalty. Thedeadline to drop two-semester courses will be the last day of classes in the second semester.This applies to all students (undergraduate, graduate and diploma) except for Doctor ofVeterinary Medicine and Associate Diploma in Veterinary Technology (conventional andalternative delivery) students. The regulations and procedures for course registration areavailable in their respective Academic Calendars.Undergraduate Calendar - Dropping /undergraduate/current/c08/c08-drop.shtmlGraduate Calendar - Registration ociate Diploma Calendar - Dropping /diploma/current/c08/c08-drop.shtml9.4 Copies of Out-of-class AssignmentsPage 9 of 11
ENGG*4470 C01 F19 v1.00Keep paper and/or other reliable back-up copies of all out-of-class assignments: you may beasked to resubmit work at any time.9.5 AccessibilityThe University promotes the full participation of students who experience disabilities in theiracademic programs. To that end, the provision of academic accommodation is a sharedresponsibility between the University and the student.When accommodations are needed, the student is required to first register with StudentAccessibility Services (SAS). Documentation to substantiate the existence of a disability isrequired; however, interim accommodations may be possible while that process is underway.Accommodations are available for both permanent and temporary disabilities. It should benoted that common illnesses such as a cold or the flu do not constitute a disability.Use of the SAS Exam Centre requires students to book their exams at least 7 days in advanceand not later than the 40th Class Day.For Guelph students, information can be found on the SAS websitehttps://www.uoguelph.ca/sasFor Ridgetown students, information can be found on the Ridgetown SAS bilityservices.cfm9.6 Academic IntegrityThe University of Guelph is committed to upholding the highest standards of academicintegrity, and it is the responsibility of all members of the University community-faculty, staff,and students-to be aware of what constitutes academic misconduct and to do as much aspossible to prevent academic offences from occurring. University of Guelph students havethe responsibility of abiding by the University's policy on academic misconduct regardless oftheir location of study; faculty, staff, and students have the responsibility of supporting anenvironment that encourages academic integrity. Students need to remain aware thatinstructors have access to and the right to use electronic and other means of detection.Please note: Whether or not a student intended to commit academic misconduct is notrelevant for a finding of guilt. Hurried or careless submission of assignments does not excusestudents from responsibility for verifying the academic integrity of their work beforesubmitting it. Students who are in any doubt as to whether an action on their part could beconstrued as an academic offence should consult with a faculty member or faculty advisor.Undergraduate Calendar - Academic Graduate Calendar - Academic ars/graduate/current/genreg/index.shtmlPage 10 of 11
ENGG*4470 C01 F19 v1.009.7 Recording of MaterialsPresentations that are made in relation to course work - including lectures - cannot berecorded or copied without the permission of the presenter, whether the instructor, a student,or guest lecturer. Material recorded with permission is restricted to use for that course unlessfurther permission is granted.9.8 ResourcesThe Academic Calendars are the source of information about the University of Guelph’sprocedures, policies, and regulations that apply to undergraduate, graduate, and diplomaprograms.Academic rsPage 11 of 11
Assess the accuracy and reliability of finite element solutions and troubleshoot problems arising from errors in a given finite element analysis. 5. Develop finite element formulations of engineering problems from a variety of application areas. 6. 7. Demonstrate their ability to communicate their analysis and design ideas through Page 3 of11
ENGG*4470 Finite Element Analysis 5 5. TEACHING AND LEARNING ACTIVITIES 5.1 Timetable Lectures: Day Time Location Monday 05:30PM - 06:50PM LA 204 Wednesday 05:30PM - 06:50PM LA 204 . Weighted residual & energy methods Chapter 3 2, 3, 5 Finite element analysis of beams and frames Chapter 4 2, 3, 5
Finite element analysis DNV GL AS 1.7 Finite element types All calculation methods described in this class guideline are based on linear finite element analysis of three dimensional structural models. The general types of finite elements to be used in the finite element analysis are given in Table 2. Table 2 Types of finite element Type of .
Figure 3.5. Baseline finite element mesh for C-141 analysis 3-8 Figure 3.6. Baseline finite element mesh for B-727 analysis 3-9 Figure 3.7. Baseline finite element mesh for F-15 analysis 3-9 Figure 3.8. Uniform bias finite element mesh for C-141 analysis 3-14 Figure 3.9. Uniform bias finite element mesh for B-727 analysis 3-15 Figure 3.10.
1 Overview of Finite Element Method 3 1.1 Basic Concept 3 1.2 Historical Background 3 1.3 General Applicability of the Method 7 1.4 Engineering Applications of the Finite Element Method 10 1.5 General Description of the Finite Element Method 10 1.6 Comparison of Finite Element Method with Other Methods of Analysis
2.7 The solution of the finite element equation 35 2.8 Time for solution 37 2.9 The finite element software systems 37 2.9.1 Selection of the finite element softwaresystem 38 2.9.2 Training 38 2.9.3 LUSAS finite element system 39 CHAPTER 3: THEORETICAL PREDICTION OF THE DESIGN ANALYSIS OF THE HYDRAULIC PRESS MACHINE 3.1 Introduction 52
Finite Element Method Partial Differential Equations arise in the mathematical modelling of many engineering problems Analytical solution or exact solution is very complicated Alternative: Numerical Solution – Finite element method, finite difference method, finite volume method, boundary element method, discrete element method, etc. 9
3.2 Finite Element Equations 23 3.3 Stiffness Matrix of a Triangular Element 26 3.4 Assembly of the Global Equation System 27 3.5 Example of the Global Matrix Assembly 29 Problems 30 4 Finite Element Program 33 4.1 Object-oriented Approach to Finite Element Programming 33 4.2 Requirements for the Finite Element Application 34 4.2.1 Overall .
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