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BMEn 3011-Biomechanics (Fall 2019) Syllabus Prerequisites: Lectures: Recitations:

Phys 1302, Math 2374 MWF 9:05-9:55 Jackson 2-137 W 12:20-1:10 Amundson 124 W 1:25-2:15 Amundson 124 W 2:30-3:20 Amundson 124

Instructor:

Patrick Alford Nils Hasselmo Hall 6-136 [email protected] Office Hours: Tuesdays 4:00-6:00, NHH 4-101

TA:

Liz Gacek [email protected] Office Hours: TBD

Text: [BF] Bedford and Fowler, Engineering Mechanics; Static and Dynamics Major Topics: Rigid-Body Mechanics of Biological Systems (Statics and Dynamics) Deformable-Body Mechanics of Biological Systems Numerical and Computational Methods for Statics and Dynamics Problems Grading: The course will be graded on a flat scale, 92-100 = A, 90-91.99 = A-, 88-89.99 = B+, 82-87.99 = B, etc. Total graded material will be as follows: 5% Homework – due every Monday, unless indicated below 55% Quizzes – every Friday at 9:05, unless indicated below 40% Exams (2) Grading approach: Exams: Exams will be graded out of 100 points. They will be curved individually onto the grading scale detailed above using a piece-wise linear fitting. If a student misses the exam for a documented University-approved reason (illness, physical or mental, of the student or his or her dependent; medical conditions related to pregnancy; participation in intercollegiate athletic events; subpoenas; jury duty; military service; bereavement, including travel related to bereavement; religious observances; and activities sponsored by the University if identified by the senior academic officer for the campus or his or her designee as the basis for excused absences) it is the student’s responsibility to schedule a make-up exam as near the scheduled exam date as possible.

Quizzes: Quizzes will consist of a single problem and will be graded out of 10 points. Each quiz will be linearly curved so that the top score is 10 and the mean score is 8.5. Your lowest quiz grade of the semester will be dropped. There will be no makeup quizzes. Quizzes missed due to documented University-approved absences will be excused. Quizzes missed with unexcused absences will be given a zero. Homework: Homework will be graded on a 0-3 scale: 3=correctly solved with the correct answer indicated in a box, 2=correct approach, wrong answer (answers not obviously indicated, i.e. not in a box, will be considered incorrect), 1=valiant attempt, but wrong approach, 0=not done or not seriously attempted. The homework grades will not be curved. All homework assignments must have a coversheet detailing who the student worked with and what resources the student used in completion of the assignment. A template is provided on the canvas site and in this syllabus. If the coversheet is not attached, the student’s grade will be docked 20% of the points earned. Homework is due by 5:00 p.m. on the due date in the submission box located outside the BME office. No homework will be accepted after 5:00 p.m. without prior approval by the instructor. Grade Disputes: All grade disputes must be made in writing. Exams. Exam solutions will be posted on the day that the exams are returned. Students have one week to dispute their exam grade. To do so, the student may write up to one page explaining the grading mistake and turn it before the beginning of the class (9:05) one week after the exams were returned. All disputes will be considered and answered within two weeks of the date the exams are returned. Quizzes and Homework. Solutions will be posted within one class period of the day that the assignment is due. Students have one week from the date that the assignment is returned to the class to dispute any homework grade. To do so, the student may write up to one page explaining the grading mistake and turn it before the beginning of the class (9:05) one week after the assignments were returned. All homework grading disputes will be handled by the TA. The instructor will only intervene in cases where the TA is unable to determine a resolution. Academic Integrity: All students are expected to maintain the highest level of integrity throughout the class. While interaction with one’s fellows is a critical part of the educational process, one must recognize that each student must be evaluated on his/her own merits. Plagiarism (the representation of someone else's – be it someone in the class or someone elsewhere, such as the www – work as one's own) and other forms of cheating will not be tolerated. A single offense, if deemed deliberate, will result in failure of the course. REMEMBER: The most important thing is to credit properly those who contributed to one’s work.

LEARNING GOALS 1.   

Introduction and Review of Basic Physics Basic concepts (mass, momentum, force, acceleration, reference frames, etc.) Newton’s Laws for point masses Conservation of linear and angular momentum

     

Statics of Rigid and Quasi-Rigid Systems The concept of static equilibrium and why it is important Free-body diagrams for static multi-body systems Constraints on static systems Distributed vs. point loads Shear and moment diagrams and stresses in beams, with application to the long bones Numerical solution of linear algebraic systems that arise from statics problems.

   

Dynamics of Rigid and Quasi-Rigid Systems Free-body diagrams for dynamic systems Linear and angular kinetics Energy Numerical solution of first-order ordinary differential equation systems

  

Deformable Bodies Stress and strain Basic mechanical tests (tension, compression, bending, torsion) Strain energy and elasticity

2.

3.

4.

5.  

Acquaintance with Basic Biomechanical Data Mechanical properties of various organs, tissues, and biomaterials Structural significance of those properties (i.e., what about their varying properties allows different tissues to perform different functions?)

Class Tips: Focus on concepts: You are going to find that most engineering courses have a handful of important concepts that you are then asked to apply to a variety of cases. This course has that format. I strongly suggest that you do not focus on memorizing how example problems are done, but instead on why they are done the way they are. Once you understand why, how will come naturally. Don’t take the easy way out: You are allowed to work on the homework together. However, that does not mean that you shouldn’t work on it alone first. You are much more likely to remember key concepts if you figure them out on your own than if someone tells you how to do it and you try to remember. The most important thing is that you understand the material, not that you get a perfect score on all of the homework.

Class # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42

Date Sep 4 Sep 6 Sep 9 Sep 11 Sep 13 Sep 16 Sep 18 Sep 20 Sep 23 Sep 25 Sep 27 Sep 30 Oct 2 Oct 4 Oct 7 Oct 9 Oct 11 Oct 14 Oct 16 Oct 18 Oct 21 Oct 23 Oct 25 Oct 28 Oct 30 Nov 1 Nov 3 Nov 6 Nov 8 Nov 11 Nov 13 Nov 15 Nov 18 Nov 20 Nov 25 Nov 27 Nov 29 Dec 2 Dec 4 Dec 6 Dec 9 Dec 11

Topic Course Introduction Scalars, Vectors, Tensors Physics Review Static Equilibrium Free Body Diagrams Static Equilibrium in 3-D Constraints and Reaction Forces Segmented-body Statics S-B Statics, Distributed Loads Linear Systems Linear Systems Shear and Moment Shear and Moment Practical Biostatics Dynamic Systems Intro to Dynamics Work and Energy Work and Energy Kinematic Transformations Stability Linear and Angular Kinematics 3-D Kinematics Exam #1 Linear Kinetics Angular Kinetics D'Alembert's Principle Segmented-body Kinetics Segmented Objects Parallel Axis Theory Intro to Deformable Bodies Stress-Strain and Hooke's Law Stress Tensor and Mohr's Circle Bending: Method of Sections Stress-strain, plasticity, and hysteresis Torsion Beams Combined Loads Nonlinearity Viscoelasticity Putting it All Together Exam #2 Biomechanics Subplan Day (Optional)

Reading BD 2.1-2.5 BD 3.1-4.5 BD 5.1-5.2, 7.7 BD 4.1-5.2 BD 5.3-5.4 BD 5.1-5.4 BD 6.1-6.5 DCM 4.3-4.5 DCM 4.3-4.5 BD 7.1-7.8 BD 10.1-10.3

DCM 6.10, 7.4.1 BD 12.1-13.8 BD 15.1-16.3 BD 17.1-17.7 BD 20.1-20.3 BD 18.1 BD 18.2

Q/HW

Q HW Q HW Q HW Q HW Q HW Q HW

HW

BD 8.6 BD 15.1-16.3

Q HW Q HW Q HW HW Q HW

Additional Information on BMEn 3011 and its Role in the B.Bm.E. Curriculum The courses required for the Bachelor of Biomedical Engineering degree program are designed to meet the Program Educational Objectives (PEOs), as defined by the BME Department (BMED), and the Program Outcomes (POs), as defined by the Accreditation Board for Engineering and Technology (ABET). Achieving the PEOs and POs is necessary to maintain program accreditation by ABET. For a full description of the PEOs, the POs, and the accreditation of the program, please refer to the BMED web site (www1.bme.umn.edu). With respect to the BMEN 3011 course, there are two PEOs that the course is meant to partially achieve: PEO1:

Learn the scientific and engineering principles underlying the 6 major elements of biomedical engineering (BME): cellular and molecular biology, physiology, biomechanics, bioelectricity/instrumentation, biomedical transport processes, and biomaterials. (Italics added)

PEO 3: Learn experimental, statistical, and computational techniques in the context of BME. The POs that the BMEn 3011 course is meant to at least partially achieve are that students should have: (1) (2)

(3) (6) (8)

(9)

an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics. (HIGH priority) an ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors (LOW priority) an ability to communicate effectively with a range of audiences (MEDIUM priority) an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgement to draw conclusions (HIGH priority) an understanding of biology and physiology, and the capability to apply advanced mathematics (including differential equations and statistics), science, and engineering to solve problems at the interface of engineering and biology. (MEDIUM priority) the ability to make measurements on and interpret data from living systems, addressing the problems associated with the interaction between living and non-living materials and systems. (MEDIUM priority)

Student Conduct Code The University seeks an environment that promotes academic achievement and integrity, that is protective of free inquiry, and that serves the educational mission of the University. Similarly, the University seeks a community that is free from violence, threats, and intimidation; that is respectful of the rights, opportunities, and welfare of students, faculty, staff, and guests of the University; and that does not threaten the physical or mental health or safety of members of the University community. As a student at the University you are expected adhere to Board of Regents Policy: Student Conduct Code. To review the Student Conduct Code, please see: http://regents.umn.edu/sites/regents.umn.edu/files/policies/Student_Conduct_Code.pdf. Note that the conduct code specifically addresses disruptive classroom conduct, which means "engaging in behavior that substantially or repeatedly interrupts either the instructor's ability to teach or student learning. The classroom extends to any setting where a student is engaged in work toward academic credit or satisfaction of program-based requirements or related activities." Use of Personal Electronic Devices in the Classroom Using personal electronic devices in the classroom setting can hinder instruction and learning, not only for the student using the device but also for other students in the class. To this end, the University establishes the right of each faculty member to determine if and how personal electronic devices are allowed to be used in the classroom. For complete information, please reference: http://policy.umn.edu/education/studentresp. Scholastic Dishonesty You are expected to do your own academic work and cite sources as necessary. Failing to do so is scholastic dishonesty. Scholastic dishonesty means plagiarizing; cheating on assignments or examinations; engaging in unauthorized collaboration on academic work; taking, acquiring, or using test materials without faculty permission; submitting false or incomplete records of academic achievement; acting alone or in cooperation with another to falsify records or to obtain dishonestly grades, honors, awards, or professional endorsement; altering, forging, or misusing a University academic record; or fabricating or falsifying data, research procedures, or data analysis. (Student Conduct Code: http://regents.umn.edu/sites/regents.umn.edu/files/policies/Student_Conduct_Code.pdf) If it is determined that a student has cheated, the student may be given an "F" or an "N" for the course, and may face additional sanctions from the University. For additional information, please see: http://policy.umn.edu/education/instructorresp. The Office for Community Standards has compiled a useful list of Frequently Asked Questions pertaining to scholastic dishonesty: https://communitystandards.umn.edu/avoidviolations/avoiding-scholastic-dishonesty. If you have additional questions, please clarify with your instructor for the course. Your instructor can respond to your specific questions regarding what would constitute scholastic dishonesty in the context of a particular class-e.g., whether collaboration on assignments is permitted, requirements and methods for citing sources, if electronic aids are permitted or prohibited during an exam.

Makeup Work for Legitimate Absences Students will not be penalized for absence during the semester due to unavoidable or legitimate circumstances. Such circumstances include verified illness, participation in intercollegiate athletic events, subpoenas, jury duty, military service, bereavement, and religious observances. Such circumstances do not include voting in local, state, or national elections. For complete information, please see: http://policy.umn.edu/education/makeupwork. Appropriate Student Use of Class Notes and Course Materials Taking notes is a means of recording information but more importantly of personally absorbing and integrating the educational experience. However, broadly disseminating class notes beyond the classroom community or accepting compensation for taking and distributing classroom notes undermines instructor interests in their intellectual work product while not substantially furthering instructor and student interests in effective learning. Such actions violate shared norms and standards of the academic community. For additional information, please see: http://policy.umn.edu/education/studentresp. Grading and Transcripts University Grading Scales The University has two distinct grading scales: A-F and S-N. A-F grading scale. The A-F grading scale allows the following grades and corresponding GPA points: Grade

GPA Points

A

4.000

A-

3.667

B+

3.333

B

3.000

B-

2.667

C+

2.333

C

2.000

C-

1.667

D+

1.333

D

1.000 -

Definitions for undergraduate credit Represents achievement that significantly exceeds expectations in the course.

Represents achievement that is above the minimum expectations in the course.

Represents achievement that meets the minimum expectations in the course.

Represents achievement that partially meets the minimum expectations in the

Grade

GPA Points

Definitions for undergraduate credit course. Credit is earned but it may not fulfill major or program requirements.

F

0.000

Represents failure in the course and no credit is earned.

S-N grading scale. The S-N grading scale allows for the following grades and corresponding GPA points: Grade GPA Points Definitions for undergraduate credit S

0.00

Satisfactory (equivalent to a C- or better)

N

0.00

Not Satisfactory

For additional information, please refer to: https://policy.umn.edu/education/gradingtranscripts. Sexual Harassment "Sexual harassment" means unwelcome sexual advances, requests for sexual favors, and/or other verbal or physical conduct of a sexual nature. Such conduct has the purpose or effect of unreasonably interfering with an individual's work or academic performance or creating an intimidating, hostile, or offensive working or academic environment in any University activity or program. Such behavior is not acceptable in the University setting. For additional information, please consult Board of Regents Policy: https://regents.umn.edu/sites/regents.umn.edu/files/policies/Sexual_Harassment_Sexual_Assau lt_Stalking_Relationship_Violence.pdf Equity, Diversity, Equal Opportunity, and Affirmative Action The University provides equal access to and opportunity in its programs and facilities, without regard to race, color, creed, religion, national origin, gender, age, marital status, disability, public assistance status, veteran status, sexual orientation, gender identity, or gender expression. For more information, please consult Board of Regents Policy: http://regents.umn.edu/sites/regents.umn.edu/files/policies/Equity_Diversity_EO_AA.pdf. Disability Accommodations The University of Minnesota views disability as an important aspect of diversity, and is committed to providing equitable access to learning opportunities for all students. The Disability Resource Center (DRC) is the campus office that collaborates with students who have disabilities to provide and/or arrange reasonable accommodations. 

If you have, or think you have, a disability in any area such as, mental health, attention, learning, chronic health, sensory, or physical, please contact the DRC office on your campus (UM Twin Cities - 612.626.1333) to arrange a confidential discussion regarding equitable access and reasonable accommodations.

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Students with short-term disabilities, such as a broken arm, can often work with instructors to minimize classroom barriers. In situations where additional assistance is needed, students should contact the DRC as noted above. If you are registered with the DRC and have a disability accommodation letter dated for this semester or this year, please contact your instructor early in the semester to review how the accommodations will be applied in the course. If you are registered with the DRC and have questions or concerns about your accommodations please contact your (access consultant/disability specialist).

Additional information is available on the DRC website: (UM Crookston https://www.crk.umn.edu/units/disability-resource-center, UM Duluth http://www.d.umn.edu/disability-resources, UM Morris -http://www.morris.umn.edu/academicsuccess/disability/, UM Rochester -http://r.umn.edu/student-life/student-services/disability-resources, UM Twin Cities https://diversity.umn.edu/disability/ ) or e-mail (UM Crookston - [email protected], UM Duluth - [email protected], UM Morris - [email protected], UM Rochester [email protected], UM Twin Cities - [email protected]) with questions. Mental Health and Stress Management As a student you may experience a range of issues that can cause barriers to learning, such as strained relationships, increased anxiety, alcohol/drug problems, feeling down, difficulty concentrating and/or lack of motivation. ...