Office Hours Open door policy. Otherwise, by appointment organized via email (dennison@uvic.ca)

Tools required: To complete course assignments, students will require access to ANSYS Finite Element Analysis Software and MATLAB Software. Both are available in Engineering and Computer Science Undergraduate Computing Studios on Campus. If students encounter challenges accessing these resources, or would like to acquire access to use on personal computers, please contact course instructor.

Prerequisites:

MECH 320 and MECH 330

MECH 420/563 – Finite Element Applications: focuses on the solution to differential equations that arise in the field of applied mechanics using the Finite Element Method (FEM). The course addresses problems of elasticity (in bars, beam, grids, and plate elements), heat transfer and structural dynamics. By taking a multi-physics approach, the course intends to illustrate the generality of the modern FEM.

FE analysis is first introduced as a numerical solution process for deformation analysis of elastic structures. For these problems, the finite elements are derived using the direct stiffness/displacement method (DSM). The formulation of bar, beam, frame, and grid finite elements will be demonstrated and these elements will be used to solve force-deformation problems. The assembly of these elements is illustrated in tutorial examples and reinforced through problems assigned from the course textbook.

In the latter stages of the class, the generalization of the finite element method will be presented. A succinct overview of virtual work, or potential energy, element formulations and the method of weighted residuals facilitates the application of the finite element method to plane stress and strain, heat transfer and structural dynamics problems. At the end of the course, an introduction to time domain numerical integration will be given. This introduction will show how the FEM and numerical integrators are used together to perform dynamics simulation.

Tools Required for this Course: computer, scanner/photoscan app, Matlab, ANSYS, CAD software

At the end of this course, students will be able to:

1. Execute the direct stiffness method to calculate the deformation of trusses, frames and grids, including:

            Decompose, conceptually, a structure into a logical collection of idealized solid elements.
            Infer appropriate displacement interpolating polynomials based on the assumed loading conditions.
            Derive force-displacement element equations for bar, beam, frame and grid elements.
            Assemble multiple element equations to form a single global system of equations.
            Anticipate the structure of assembled equations based on the node and element numbering scheme.
            Apply force and displacement boundary conditions at the node points of the element assembly to solve global equation sets.
            Recover internal forces and deformations within the structure.
            Judge the validity of solutions and recognize limitations imposed by the various steps in the solution process.
   

2. Apply the principle of stationary potential energy to form the general finite element equations for structural elements.
3. Form displacement interpolating polynomials for 3 and 4 node plane stress and plane strain finite elements.
4. Derive plane stress and plane strain finite element equations using the general finite element equations.
5. Relate the method of weighted residuals to the principle of stationary potential energy in structural problems.
6. Apply the method of weighted residuals to two-dimensional heat transfer problems and structural dynamics.
7. Use open quadrature formulae to numerically evaluate integrals within the weighted residuals method.
8. Determine natural frequencies of a structure using a finite element model.
9. Numerically integrate finite element equations in time to trace the motion of a structure.
10. Use commercial software in the solution of assembled finite element equations, including:

            Use ANSYS in the solution of spatial frame/truss deformation and plane stress problems.
            Conduct convergence analysis using ANSYS output.
            Manipulate matrix equations (row and column operations) in MATLAB.
            Use MATLAB to assemble and solve finite element equations.
    

• All assignments are due at 5pm on the date specified, submitted via Brightspace

See course schedule for dates

Tests in the course will be open book, with instructions distributed and discussed in-class

NOTES ON WORK COMPELETION Failure to complete and submit all assignments will result in a grade of N.

NOTES The final grade obtained from the above marking scheme for the purpose of GPA calculation will be based on the percentage-to-grade point conversion table as listed in the current Undergraduate Calendar.

COURSE LECTURE NOTES Unless otherwise noted, all course materials supplied to students in this course are intended for use in this course only. These materials are NOT to be re-circulated digitally, whether by email or by uploading or copying to websites, or to others not enrolled in this course. Violation of this policy may in some cases constitute a breach of academic integrity as defined in the UVic Calendar.

SUPPLEMENTAL EXAM A student who has written the final exam and received a failing course grade may be offered an opportunity to write a supplemental exam. The percentage grade at which the instructor recommends supplemental exams varies, depending on the methods of evaluation for the course. Supplemental exam recommendations are decided by the department and the faculty based on a review of each student’s overall academic record.

The University of Victoria follows a percentage grading system in which the instructor will submit grades in percentages. The University will use the following Senate approved standardized grading scale to assign letter grades. Both the percentage mark and the letter grade will be recorded on the academic record and transcripts.

I value your feedback on this course. Towards the end of term you will have the opportunity to complete a confidential course experience survey (CES) regarding your learning experience. The survey is vital to providing feedback to me regarding the course and my teaching, as well as to help the department improve the overall program for students in the future. When it is time for you to complete the survey, you will receive an email inviting you to do so. If you do not receive an email invitation, you can go directly to the CES site

You will need to use your UVic NetLink ID to access the survey, which can be done on your laptop, tablet or mobile device. I will remind you closer to the time, but please be thinking about this important activity, especially the following three questions, during the course.

• What strengths did your instructor demonstrate that helped you learn in this course?
• Please provide specific suggestions as to how the instructor could have helped you learn more effectively.
• Please provide specific suggestions as to how this course could be improved.

Note to Students: Students who have issues with the conduct of the course should discuss them with the instructor first. If these discussions do not resolve the issue, then students should feel free to contact the Chair of the Department by email or the Assistant to the Chair to set up an appointment.

Centre for Accessible Learning (CAL)

Accommodation of Religious Observance (AC1210)

Discrimination and Harassment Policy (GV0205)

Sexualized Violence Prevention and Response at UVic: UVic takes sexualized violence seriously, and has raised the bar for what is considered acceptable behaviour. We encourage students to learn more about how the university defines sexualized violence and its overall approach by visiting https://www.uvic.ca/sexualizedviolence/. If you or someone you know has been impacted by sexualized violence and needs information, advice, and/or support please contact the sexualized violence resource office in Equity and Human Rights (EQHR). Whether or not you have been directly impacted, if you want to take part in the important prevention work taking place on campus, you can also reach out: Where: Sexualized violence resource office in EQHR; Sedgewick C119 Phone: 250.721.8021 Email: svpcoordinator@uvic.ca Web: https://www.uvic.ca/sexualizedviolence/

Office of the Ombudsperson: The Office of the Ombudsperson is an independent and impartial resource to assist with the fair resolution of student issues. A confidential consultation can help you understand your rights and responsibilities. The Ombudsperson can also clarify information, help navigate procedures, assist with problem-solving, facilitate communication, provide feedback on an appeal, investigate and make recommendations. Phone: 250-721-8357 Email: ombuddy@uvic.ca Web: https://uvicombudsperson.ca/

Electronic devices in labs and lectures: No unauthorized audio or video recording of lectures is permitted.

Electronic devices in midterms and exams: Calculators are only permitted for examinations and tests if explicitly authorized and the type of calculator permitted may be restricted. No other electronic devices (e.g. cell phones, pagers, PDA, etc.) may be used during examinations or tests unless explicitly authorized.

Faculty of Engineering, University of Victoria Standards for Professional Behavior It is the responsibility of all members of the Faculty of Engineering, students, staff, and faculty, to adhere to and promote standards of professional behavior that support an effective learning environment that prepares graduates for careers as professionals... You are advised to read the Faculty of Engineering document Standards for Professional Behavior which contains important information regarding conduct in courses, labs, and in the general use of facilities.

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Students are expected to attend all classes in which they are enrolled. An academic unit may require a student to withdraw from a course if the student is registered in another course that occurs at the same time...

An Instructor may refuse a student admission to a lecture, laboratory, online course discussion or learning activity, tutorial or other learning activity set out in the course outline because of lateness, misconduct, inattention or failure to meet the responsibilities of the course set out in the course outline. Students who neglect their academic work may be assigned a final grade of N or debarred from final examinations.

Students who do not attend classes must not assume that they have been dropped from the course by an academic unit or an instructor. Courses that are not formally dropped will be given a failing grade, students may be required to withdraw and will be required to pay the tution fee for the course. Read the policy here

Academic integrity is intellectual honesty and responsibility for academic work that you submit individual or group work. It involves commitment to the values of honesty, trust, and responsibility. It is expected that students will respect these ethical values in all activities related to learning, teaching, research, and service. Therefore, plagiarism and other acts against academic integrity are serious academic offences.

The responsibility of the institution Instructors and academic units have the responsibility to ensure that standards of academic honesty are met. By doing so, the institution recognizes students for their hard work and assures them that other students do not have an unfair advantage through cheating on essays, exams, and projects.

The responsibility of the student Plagiarism sometimes occurs due to a misunderstanding regarding the rules of academic integrity, but it is the responsibility of the student to know them. If you are unsure about the standards for citations or for referencing your sources, ask your instructor. Depending on the severity of the case, penalties include a warning, a failing grade, a record on the student's transcript, or a suspension.

It is your responsibility to understand the University's policy on Academic Integrity

This course aims to provide equal opportunities and access for all students to enjoy the benefits and privileges of the class and its curriculum and to meet the syllabus requirements. Reasonable and appropriate accommodation will be made available to students with documented disabilities (physical, mental, learning) in order to give them the opportunity to successfully meet the essential requirements of the course. The accommodation will not alter academic standards or learning outcomes, although the student may be allowed to demonstrate knowledge and skills in a different way. It is not necessary for you to reveal your disability and/or confidential medical information to the course instructor. If you believe that you may require accommodation, the course instructor can provide you with information about confidential resources on campus that can assist you in arranging for appropriate accommodation. Alternatively, you may want to contact the Centre for Accessible Learning (formerly the Resource Centre for Students with a Disability) located in the Campus Services Building.

The University of Victoria is committed to promoting, providing, and protecting a positive, and supportive and safe learning and working environment for all its members.